DJCheng/embedding_data

1{"query": "How many millilitres are there in 21/2 of a litre?", "pos": "What is 25/2 of a litre in millilitres?", "neg": "296*1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}2{"query": "What comes next: -74, -61, -56, -59, -70, -89?", "pos": "What comes next: -37, -72, -129, -220, -357, -552, -817?", "neg": "What is (-1 - 0) + -5 + -6 + 8?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}3{"query": "Three letters picked without replacement from oxccztxcccocottcxxto. Give prob of picking 2 o and 1 t.", "pos": "Three letters picked without replacement from uuourrorrru. Give prob of picking 2 r and 1 o.", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}4{"query": "In base 13, what is -6b1 + 3?", "pos": "In base 13, what is -8b - -3?", "neg": "What is the remainder when 13 is divided by (-26)/(-6) - 2/6?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}5{"query": "Suppose 0 = -4*w + 4, 0 = -4*l - 3*w - w + 356. Let k(m) = 1 + m**2 - 2 - 4. Let o be k(4). Calculate the highest common factor of o and l.", "pos": "Suppose a - 2*s - 32 = 0, -4*a + 25 + 87 = -4*s. Let t be (-62 - 2)/((-1)/3). Calculate the highest common factor of t and a.", "neg": "Let b(l) = -l**2 + 5*l. Let d be b(4). Suppose 2*c - k - 8 = 0, 5 = -c - k + 6. Let h(q) = 2*q**2 - 2*q + 2. Let w be h(c). Solve w - d = -5*v for v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}6{"query": "Suppose 4*n - 8 = 4*u, -3*u - 2*n = 2*u - 4. Solve 9 = 3*v - u*v + r, v = 2*r + 3 for v.", "pos": "Suppose 8 = d + 3. Suppose -5*f = 4*h - 3, -5*h = -0*f - d*f - 15. Let u = 3 + h. Solve 3*o + 4*a = -1, u*o + 2*a = 5 - 2 for o.", "neg": "Let t(n) = n**2 + 8*n + 3. Let h(j) = -j**3 + 3*j**2 - 4*j + 2. Let a be h(4). Let z = -8 - a. Calculate the remainder when z is divided by t(-9).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}7{"query": "What is 25/2 of a litre in millilitres?", "pos": "What is twenty-five halves of a litre in millilitres?", "neg": "What is -2 divided by -525?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}8{"query": "Calculate prob of sequence igml when four letters picked without replacement from {g: 2, n: 1, l: 2, m: 1, i: 2}.", "pos": "Calculate prob of sequence iaia when four letters picked without replacement from {g: 2, u: 4, k: 3, v: 2, a: 3, i: 2}.", "neg": "Let i(l) = l**2 - 2*l + 4. Let n be i(4). Let p be ((-2)/(-3))/((-4)/(-18)). Suppose 2*o = -p*y + 24, 4 = y + 5*o - 4. Solve n = 4*d - y for d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}9{"query": "Suppose -2*l + b = -4*b - 36, -104 = -4*l + 2*b. What is the tens digit of l?", "pos": "Suppose -4*b + c = -b - 71, -b + 21 = -c. What is the tens digit of b?", "neg": "Solve -10 = -4*b + 10 for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}10{"query": "Let u = 0 - 8. Let y be ((-4)/u)/(2/152). Suppose k + 3 = 2*i - 14, y = 4*i + 2*k. What is the units digit of i?", "pos": "Suppose -2 = 4*y - 2*n - 14, -4 = 2*n. Let i(l) be the third derivative of l**5/60 + l**4/8 - l**3/6 + l**2. What is the units digit of i(y)?", "neg": "Suppose -3*z = -8*z. Suppose z*v = v - 1. Let i be 0/2 + (v - -1). Solve y + y = t, 0 = -2*t + 3*y - i for t.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}11{"query": "Let k be (3 + 3 + (2 - 23))*-2. Calculate the highest common divisor of 330 and k.", "pos": "Let d be (0 + -33)*(-21)/9. Let k be (10 - 4)/(2/3). Let j be -4*3/(-6) + k. Calculate the highest common divisor of j and d.", "neg": "Let h(k) be the third derivative of k**4/24 - 4*k**3/3 + k**2. Let z be h(13). Solve -2*l = -z*l for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}12{"query": "What is next in -841, -842, -843, -844, -845?", "pos": "What is next in 8224, 8226, 8228, 8230?", "neg": "What is the eighth root of 14079 to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}13{"query": "Calculate -87 divided by 29.", "pos": "Calculate -5 divided by -29.", "neg": "Let n = -34 + 77. Calculate the remainder when n is divided by 9.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}14{"query": "Calculate prob of sequence kbal when four letters picked without replacement from {k: 2, l: 1, a: 4, b: 2, m: 1}.", "pos": "Calculate prob of sequence iaia when four letters picked without replacement from {g: 2, u: 4, k: 3, v: 2, a: 3, i: 2}.", "neg": "Calculate 4 + -2 + -1 + (2 - -1).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}15{"query": "Let m(p) = 4*p - 6. Let j be m(5). Let k = j - 9. Suppose -4*u - k*b = -135, -2*u = -0*u + 4*b - 66. Calculate the greatest common divisor of u and 7.", "pos": "Let d(j) = -j**3 + 4*j**2 + 3*j - 6. Let n be d(4). Let s = -6 + n. Suppose 5*p + 2*r - 30 = s, -2*r + 3 = -7. Calculate the greatest common divisor of p and 1.", "neg": "Suppose -4*m - 5*z - 6 = -2*z, -m + z = -2. Suppose -26 = -4*d + 2. Solve 3*p + 2*a = 11, 4*p + m*a = 5*a + d for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}16{"query": "How many minutes are there in 1/5 of a hour?", "pos": "How many minutes are there in 4/15 of a hour?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}17{"query": "Solve -38*s = -53*s - 90 for s.", "pos": "Solve -33 = -11*s - 0 for s.", "neg": "Let s = -116 - -120. What is the least common multiple of 78 and s?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}18{"query": "What comes next: -22, 22, 104, 230, 406, 638?", "pos": "What comes next: 12, 22, 22, 6, -32, -98, -198, -338?", "neg": "In base 6, what is 2 + -223?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}19{"query": "Calculate -0.5*0.26.", "pos": "Calculate 26*-0.6.", "neg": "Calculate the lowest common multiple of 6 and (1/(-2))/(3/(-114)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}20{"query": "What is prob of picking 2 s when two letters picked without replacement from {d: 2, n: 2, w: 1, c: 5, f: 2, s: 2}?", "pos": "What is prob of picking 2 s when two letters picked without replacement from {s: 2, l: 2}?", "neg": "2 * 519", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}21{"query": "How many millilitres are there in 12.83532l?", "pos": "How many millilitres are there in 134.8269l?", "neg": "What is 124 times 1.9?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}22{"query": "What is the next term in 77, 76, 67, 44, 1?", "pos": "What is the next term in 17, 48, 79, 110?", "neg": "Suppose -u = -7 + 1. What is the remainder when 17 is divided by u?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}23{"query": "Let b = -19 - -38. What is the greatest common divisor of b and 171?", "pos": "Let g = -109 - -229. What is the highest common factor of 80 and g?", "neg": "What is the ninth root of 172 to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}24{"query": "Divide -1 by 1037.", "pos": "1287 divided by -1", "neg": "Solve -77*h + 1000 = -177*h for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}25{"query": "Solve 0 = 4*f - 0*t - 4*t - 4, -4*f + t = -13 for f.", "pos": "Solve -4*f + 3*t + 2 = 0, 0*t = 4*f + 2*t - 12 for f.", "neg": "Suppose 0 = 4*t - 7*t + 1395. Let f be t/12 - (-1)/4. Suppose -4*c + 7 = -1, -n + 4*c = -f. Calculate the remainder when n is divided by 16.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}26{"query": "What is -5 + 3 - (-4 - -4)?", "pos": "What is -5 - -2 - ((2 - 3) + 1)?", "neg": "What is next in -1, -3, -5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}27{"query": "Suppose 5 = a, 3*j + 2*j - 35 = -4*a. Let s be -4*j/(-6) - 6. Let q = s + 6. Solve 0 = -q*k + 3*k for k.", "pos": "Suppose -a - 4*i + i - 13 = 0, 2*i + 10 = 0. Suppose a = -5*g + l, 4*l - 10 = -2. Suppose 2 = 5*j - 2*q, -j - 2*q + 13 - 3 = g. Solve -j*k = 3*k + 5 for k.", "neg": "Suppose 0 = -6*r + 5*r + 47. Let c(q) = -q + 4. Let j be c(0). Suppose 5*w = -5*u - 0*u + 105, -5*w = j*u - 89. Calculate the remainder when r is divided by u.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}28{"query": "Convert 86255.04 centuries to months.", "pos": "Convert 8038.306 millennia to months.", "neg": "Calculate 32536 divided by 8134.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}29{"query": "What is 49067.84ng in micrograms?", "pos": "What is 80189.51mg in micrograms?", "neg": "What is -4 times 4821?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}30{"query": "Calculate prob of sequence vgg when three letters picked without replacement from {v: 9, g: 5}.", "pos": "Calculate prob of sequence vgv when three letters picked without replacement from vjgajvpgw.", "neg": "Calculate 3/9 + 1*(0 + 0).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}31{"query": "What is 9704.919l in millilitres?", "pos": "What is 9227.699 litres in millilitres?", "neg": "9 - -5279", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}32{"query": "What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 6, z: 4, t: 1}?", "pos": "What is prob of picking 1 c and 1 z when two letters picked without replacement from {c: 6, k: 1, z: 8, d: 1}?", "neg": "Product of 0.0298 and 0.6.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}33{"query": "75 divided by 75", "pos": "Divide -75 by -5.", "neg": "What is 76/5 of a millimeter in micrometers?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}34{"query": "Suppose 9*j = 3*j + 96. Solve -v - 3*v = -j for v.", "pos": "Solve 9*v = 4*v + 3*f + 29, -3*f = 3*v - 3 for v.", "neg": "Suppose -3*x - 2*x = 0. Suppose 0 = -2*j + 3*v - 8, 2*j - 2*v + 4 = -x*v. What is the units digit of j?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}35{"query": "Solve -27*c + 116 = -46 for c.", "pos": "Solve -31*c + 50 = 236 for c.", "neg": "In base 14, what is -59c - 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}36{"query": "Let k(f) = 8*f. Let u(l) = -l**2 + 5*l - 1. Let r be u(4). Let v be k(r). What is the greatest common factor of v and 36?", "pos": "Let g be (12/18)/(1/3). Let k be 36/2*(-4 + 5). What is the greatest common divisor of g and k?", "neg": "Let i(v) = 4*v - 4. Let m be i(6). Solve 6*k - k = m for k.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}37{"query": "Four letters picked without replacement from agruriarirtuurr. What is prob of picking 1 g, 1 u, and 2 r?", "pos": "Four letters picked without replacement from brrbbb. What is prob of picking 2 b and 2 r?", "neg": "In base 16, what is 4 + e?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}38{"query": "Calculate prob of sequence bsb when three letters picked without replacement from {b: 5, x: 1, s: 5}.", "pos": "Calculate prob of sequence kks when three letters picked without replacement from {s: 5, b: 2, m: 2, k: 4}.", "neg": "Total of 5 and 0.10827.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}39{"query": "What is 39925.01 microseconds in milliseconds?", "pos": "How many milliseconds are there in 38.5396 microseconds?", "neg": "What is 39570 to the power of 1/10, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}40{"query": "Let g be 2/4*1*-2. Let r(h) = 16*h**2 - h - 1. Calculate the smallest common multiple of 6 and r(g).", "pos": "Let f(i) = -i**2 - 10*i + 6. Calculate the smallest common multiple of f(-8) and 16.", "neg": "Let d(h) = 2*h**2 + h - 4. Let c be d(-2). Solve 6 = -c*g - 2 for g.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}41{"query": "Suppose -16 = l - 18. Solve -4*h + l*h = 0 for h.", "pos": "Solve 0*h = -4*h - 8 for h.", "neg": "Suppose 0 = -4*d + a + 12, -2*d - a = -3*d + 6. Suppose 0 = h + 2 - 4. What is the remainder when h is divided by d?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}42{"query": "Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 11, j: 1, y: 1}.", "pos": "Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {v: 11, y: 3}.", "neg": "Calculate 0.1*12.1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}43{"query": "What is the next term in 404, 818, 1232, 1646, 2060?", "pos": "What is the next term in 816, 1642, 2468, 3294, 4120?", "neg": "What is 2054 to the power of 1/4, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}44{"query": "Three letters picked without replacement from {x: 14, y: 5, n: 1}. What is prob of sequence xxx?", "pos": "Three letters picked without replacement from {q: 6, i: 2, x: 4, p: 1, b: 3}. What is prob of sequence xxx?", "neg": "What comes next: 97, 95, 93, 91, 89, 87?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}45{"query": "Suppose -5*p - 3*y - 41 = 3, -3*p - 5*y - 20 = 0. Let g(w) = w**3 + 9*w**2 - 10*w + 9. What is the least common multiple of g(p) and 5?", "pos": "Suppose -5*p + 5 = 2*f, -3*f - 3*p + 42 = -7*p. Calculate the least common multiple of 1 and f.", "neg": "Let f(p) = 5*p**3 - p**2 + p - 1. Let b be f(1). Suppose -2*u + 2*y = 3*u - 10, -b*u - 3*y - 15 = 0. Solve u = 4*j - 3*j for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}46{"query": "What is -0.188 + -0.814?", "pos": "What is -0.4 plus -49.921?", "neg": "What is the common denominator of -107/22 and 1377/(-126)*(-3)/18?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}47{"query": "What is 55/4 of a hour in minutes?", "pos": "What is 55/2 of a minute in seconds?", "neg": "What is 56508 divided by 4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}48{"query": "What is prob of picking 1 l, 2 s, and 1 p when four letters picked without replacement from psplssppppppppp?", "pos": "What is prob of picking 1 d, 2 t, and 1 p when four letters picked without replacement from tldstpspsmpp?", "neg": "Let t(p) = p**3 - 3*p**2 - 4*p + 2. Let a be t(4). Suppose 2*f = a + 2. Let l = f - -12. What is the units digit of l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}49{"query": "Let m be (0/(-3))/(-3) - 37. Let f = -25 - m. What is the units digit of f?", "pos": "Suppose 5*r - 4 - 7 = -3*k, -4*r + 3*k + 25 = 0. Suppose -r = 3*f - 7*f. What is the units digit of f?", "neg": "Suppose -g - 57 = -63. Solve f - 10 = g*f for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}50{"query": "What is prob of sequence jjqq when four letters picked without replacement from jjjjqjqqjqqq?", "pos": "What is prob of sequence jeee when four letters picked without replacement from jjeejjjjjjjjjejj?", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}51{"query": "What is ((-12)/9)/(240/8)*-5?", "pos": "What is (-5)/20*-16*2/(-4)?", "neg": "What is the common denominator of ((-9)/(-60))/(12/488) and -119/20?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}52{"query": "Suppose 4 = -b + 9. Suppose 0 = 5*v + i - 4, 0 = 4*v + 5*i - 9*i + 16. Solve v = -2*s, 0 = -f - 4*s + b for f.", "pos": "Suppose -5*s - 3 - 2 = 0. Let f = 6 + s. Solve -f*j = -4*b + 1 + 1, -5*j + 5*b = 5 for j.", "neg": "Suppose 2*k + 3*l + 2 - 1 = 0, 3*k - 2*l - 5 = 0. Let f be (4/k)/((-1)/(-2)). Suppose 3*r + 5 = f. What is the lowest common multiple of r and 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}53{"query": "Evaluate ((-11)/1)/22*-2*2.", "pos": "Evaluate (-28)/21*(-9)/2.", "neg": "What is the remainder when (-122)/(-2) + (-4 - -5) is divided by 22?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}54{"query": "Calculate -0.2865*-2.", "pos": "Calculate 0.85*-2.", "neg": "Solve g = -g - 2*g for g.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}55{"query": "How many nanograms are there in 944.3821 grams?", "pos": "How many milligrams are there in 94894.06 nanograms?", "neg": "97.54 * 4", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}56{"query": "Let a be (-155)/20 + (-2)/8. Let y = -1 - a. What is the units digit of y?", "pos": "Let y(l) = -15*l + 5. Let x be y(-16). Suppose 0 = 5*i + 10 - x. What is the units digit of i?", "neg": "Suppose 20 = 5*f - 10. Let g = f - 15. Let y = 15 + g. Solve -4*i - y = -7*i for i.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}57{"query": "How many microseconds are there in 4.679838ms?", "pos": "How many milliseconds are there in 4.649586us?", "neg": "Divide 4 by 6524.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}58{"query": "What is next in 40, 52, 72, 100, 136?", "pos": "What is next in 140, 146, 156, 170, 188, 210, 236?", "neg": "In base 12, what is 154 - 4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}59{"query": "What is next in -39, -25, 23, 123, 293, 551, 915?", "pos": "What is next in -9, -105, -359, -849, -1653, -2849?", "neg": "What is -1 + -2 + 5 + 2 + -3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}60{"query": "What is 4 - (4 - (-1 - 0))?", "pos": "What is 0 + (-4 - -4) - -4 - 8?", "neg": "What comes next: -32, -16, 0?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}61{"query": "How many minutes are there in 21/2 of a hour?", "pos": "How many minutes are there in sixty-four fifths of a hour?", "neg": "296*1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}62{"query": "Let c = 2 - 8. Calculate the common denominator of (c/45)/((-4)/(-249)) and (141/20)/((-18)/15).", "pos": "Let s be (-1)/(-1*2/4). Calculate the common denominator of (2/(-88))/((-1)/(-146)) and (1/s)/((-9)/113).", "neg": "Evaluate (21/28)/(21/14*2).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}63{"query": "Let o(z) = -4*z - 12. What is the tens digit of o(-8)?", "pos": "What is the tens digit of -8*(1 - 110/4)?", "neg": "In base 4, what is -20 + -1012?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}64{"query": "Convert 8104.472ml to litres.", "pos": "Convert 8.525023ml to litres.", "neg": "202028 + 0.08", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}65{"query": "Solve 4*r + n + 18 = 0, 61*r - 5*n = 62*r + 14 for r.", "pos": "Let r be 4 + (-18)/3 - -4. Solve r*n + 5 + 1 = 0 for n.", "neg": "Let r be (-4)/(-4)*(-2 + 2). Suppose 3*o + 5 + 1 = 0, r = -4*n - 3*o + 98. Calculate the remainder when 102 is divided by n.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}66{"query": "What is -5 - 72726?", "pos": "What is -5 - 110911?", "neg": "What comes next: -90502, -90503, -90504, -90505, -90506?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}67{"query": "Calculate prob of picking 2 i when two letters picked without replacement from {x: 3, m: 3, u: 9, i: 2}.", "pos": "Three letters picked without replacement from {m: 9, i: 9}. What is prob of picking 1 m and 2 i?", "neg": "Calculate 3/9 + 1*(0 + 0).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}68{"query": "Solve -4*k = 5*u - 15, -k - 15 = 61*u - 66*u for k.", "pos": "Solve -k = -4*a + 15, 0 = 6*k - 10*k + a + 15 for k.", "neg": "Suppose 2*k - 5 = 5. Suppose -4*a = -5*w + 30, 2*w - w - 15 = -a. Let v = w - 6. Calculate the remainder when k is divided by v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}69{"query": "What is prob of picking 1 o and 1 g when two letters picked without replacement from {a: 1, g: 2, t: 2, o: 1}?", "pos": "What is prob of picking 1 g and 1 k when two letters picked without replacement from {k: 1, l: 1, g: 1, b: 1, p: 1}?", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}70{"query": "Suppose 7*m = 3 + 18. Solve m*y + 3 = g + 2*y, -4*y = 0 for g.", "pos": "Let j(k) = k + 12. Let r be j(-7). Suppose -3 = a, -w + 3 = 2*a + r. Solve m + 5*y - 20 = -w*m, -4*m + 3*y - 19 = 0 for m.", "neg": "Let g = 11 - 7. Suppose 6 = -y - g. Let p(h) = h + 19. Let m be p(y). What is the greatest common divisor of m and 1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}71{"query": "What is 725.3173 weeks in microseconds?", "pos": "How many nanoseconds are there in 473119.7 weeks?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}72{"query": "Solve -3*d + 0*d = -3 for d.", "pos": "Solve -3*d = -0*d + 3 for d.", "neg": "In base 15, what is -2 + -1d?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}73{"query": "Suppose -3*z + 133 = 4*n - 10, 5*n = 25. Let l = -21 + z. Let r = l + -11. Calculate the least common multiple of 7 and r.", "pos": "Suppose -5*z + 6 = -2*z. Suppose -5*f = 5*t - 33 - 32, 2*f - 5*t = -z. Suppose 7 = u - f. Calculate the least common multiple of 16 and u.", "neg": "Let l be 10/35 + 117/7. Suppose -1 = 4*w - l. Suppose -3*i = -c - 12, -3*i - w + 16 = -2*c. Solve 3*o + 3*y = c, 2*y = -4*o + 6*y - 40 for o.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}74{"query": "Suppose 5*r - c = 16, 3*r - 2*c = 3 + 8. Solve 3*i - 8 - 1 = 0, -4*f - r*i = 3 for f.", "pos": "Suppose -2*j + 22 = 3*r + 2, 5*r - 8 = 3*j. Solve p = -3*c - 16, 0 = 4*p - r*c - 0*c for p.", "neg": "Suppose f - 16 = -3*w, -4 = 2*f - 4*w + 4. Suppose f*u = c + 2*c + 1, 4*u - 5 = -c. Let l = 1 + 0. What is the remainder when c is divided by l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}75{"query": "Suppose 4*x - 4 = 4. Suppose 4*i + 114 = -2*m, -2 = -3*i - 4*m - 85. Let n = 41 + i. Solve 16 = -4*y - t, -5*y + 2*t - n = -x*y for y.", "pos": "Suppose -4*i + 12 = 3*x, -3*x = -5*i - x + 38. Suppose 5 = 5*a, l - i*l = a - 16. Solve 5*z + 18 = y - 4*y, -11 = l*z + 2*y for z.", "neg": "Let o(a) = 4*a + 3. Let c be o(3). Suppose d = -0*d - 4*i - c, -3*d = 5*i + 17. Suppose -y + 5 - d = 0. What is the units digit of y?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}76{"query": "What is one fifth of a litre in millilitres?", "pos": "How many millilitres are there in one fifth of a litre?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}77{"query": "Two letters picked without replacement from {u: 3, x: 8}. Give prob of sequence uu.", "pos": "What is prob of sequence rr when two letters picked without replacement from {r: 8, x: 3}?", "neg": "Suppose -4*s = -8, -3*s - 982 = -6*u + 2*u. What is the units digit of u?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}78{"query": "-107 divided by -1", "pos": "207 divided by -1", "neg": "Suppose -u = -7 + 1. What is the remainder when 17 is divided by u?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}79{"query": "Let a be 2/(3 + (-26)/10). Let x be ((-6)/a)/(6/(-320)). What is the units digit of x/6 - 3/(-9)?", "pos": "Suppose -b - 3*g = 2*b - 231, -310 = -4*b - 2*g. Suppose -5*k = -10, 5*k + b = 2*u - 0*u. What is the units digit of u?", "neg": "Suppose 3*i = -2*i + 10. Let p be (-3)/(-4) - 294/(-56). Solve -i*u - 20 = -p*u for u.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}80{"query": "Let q(v) = v**3 + 6*v**2 + 3*v + 5. Let r be q(-5). Suppose 0 = -i + 10 - 0. Calculate the highest common divisor of i and r.", "pos": "Suppose q + 3*d + 13 = -0*q, 2*q + d = -6. Let i = q + 10. Calculate the highest common divisor of 9 and i.", "neg": "Let i(c) = -c**3 + 5*c**2 + 5*c + 6. Let r be i(6). Suppose 5*p = 10 + 5. Solve 5*b + z = 13, r = 5*b - p*z - z - 23 for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}81{"query": "How many millilitres are there in 3.861906l?", "pos": "What is 3.561788l in millilitres?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}82{"query": "Suppose -2*w + w + 4*m = -51, -4*w + 2*m + 218 = 0. What is the remainder when w is divided by 15?", "pos": "Suppose -5*w - 8 = -3*w, 5*q - 4*w = 41. Let o be (-9)/(-15)*(-7 + 2). Calculate the remainder when q is divided by (3 - (o + 3)) + 0.", "neg": "Suppose 3*f + 0*j - 15 = 5*j, 5*f + j + 3 = 0. Suppose -s + 15 = -5*l + 2*l, 4*l + 16 = f. Solve s + 2 = 5*w for w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}83{"query": "Let l(h) = -h**3 - 7*h**2 + 8*h + 12. Let w(k) = k**2 - k - 7. What is the remainder when w(-6) is divided by l(-8)?", "pos": "Let h be (-78)/(-24) + (-3)/12. Suppose h*z - 42 = -z + 2*f, z = f + 8. What is the remainder when 24 is divided by z?", "neg": "Solve -3*w - 4 = -h - 8*w, 4*h = -2*w - 2 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}84{"query": "Let k(r) = -26*r - 27. What is the units digit of k(-8)?", "pos": "What is the units digit of -64*(0 - (-28)/(-8))?", "neg": "In base 10, what is -151 - 26?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}85{"query": "What is prob of sequence mlmg when four letters picked without replacement from gdlummtlu?", "pos": "What is prob of sequence snns when four letters picked without replacement from suusuossnn?", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}86{"query": "What is -3 + (3 + -1 - (1 + 2))?", "pos": "What is -1 + -2 + 2 + 1?", "neg": "What comes next: 13, 9, 1, -11?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}87{"query": "What is the common denominator of -107/22 and 1377/(-126)*(-3)/18?", "pos": "What is the common denominator of -37/22 and (-103)/6 - (0 - 0)?", "neg": "What is 6/(-39) + (-12)/(-78)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}88{"query": "What is -2 - (-2 + -1 - -2)?", "pos": "What is the value of -2 - (-2 + (-5 - (-7 - -2)))?", "neg": "What comes next: 2, -19, -48, -79, -106, -123?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}89{"query": "Four letters picked without replacement from kkkkkckckkc. Give prob of sequence kkkc.", "pos": "Four letters picked without replacement from pipippytatyppppeeptp. Give prob of sequence teye.", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}90{"query": "Two letters picked without replacement from {v: 4, o: 1, d: 1, j: 2, m: 3, k: 4}. What is prob of sequence vj?", "pos": "Four letters picked without replacement from vjxsxjsjj. What is prob of sequence jxvx?", "neg": "Solve -j - 4*v = 0, 0 = 11*j - 15*j - 4*v + 12 for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}91{"query": "How many microseconds are there in 2.811813ms?", "pos": "How many microseconds are there in 82.71096s?", "neg": "What is 1462 times 0.02?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}92{"query": "Let a = -31 - -39. Calculate the highest common factor of 56 and a.", "pos": "Suppose 3*b + 0 = -2*p + 17, -4*b - 3*p + 22 = 0. What is the highest common factor of 56 and b?", "neg": "Solve -4*f - 56 = -40 for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}93{"query": "Suppose 6*o = 4*o. Suppose -4*k + 5*k - 2 = o. Suppose 0 = k*d + 3*d + 3*a - 73, -d = -3*a - 11. What is the least common multiple of d and 20?", "pos": "Suppose -6*d + 2*d - 2*f = 0, -2*d - 2*f = 4. Suppose -5*n = -2*g - 0*g - 74, -3*g + 25 = n. Calculate the smallest common multiple of n and d.", "neg": "Suppose -6*m = -m. Let c(d) = 2*d + 5. Let w be c(m). Solve -4*a - 20 = 5*r, -3*r - w*a = -a + 12 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}94{"query": "What is 5631 to the power of 1/2, to the nearest integer?", "pos": "What is 5043 to the power of 1/2, to the nearest integer?", "neg": "What is the next term in 5574, 5573, 5572, 5571?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}95{"query": "What is (((-36)/(-15))/4)/(15/(-75))?", "pos": "What is ((-2)/(-4))/(9/(-18))?", "neg": "What is the common denominator of -73/24 and (-252)/(-160) + (-2)/10?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}96{"query": "Evaluate (-3)/(-10)*(-15)/27.", "pos": "Evaluate (-3)/((-33)/11*(-3)/(-6)).", "neg": "Find the common denominator of (-7)/(-110) + (-1)/5 and -63/20.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}97{"query": "Calculate prob of sequence hh when two letters picked without replacement from {i: 1, h: 2}.", "pos": "Calculate prob of sequence ah when two letters picked without replacement from abh.", "neg": "Let h(i) = 29*i + 2. Calculate the remainder when 122 is divided by h(1).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}98{"query": "Let m be -2*1*(-5)/2. Let k be 0/3 + 6 + -2. Suppose 4*n = 2*n + k. Solve 0 = n*q + m + 1 for q.", "pos": "Let p be -2*(-4 - (-5)/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3/(-2))/(6/(-32)). Solve 0*v + n = -b*v for v.", "neg": "Suppose 3*q - 12 = -3*k, -4*k + 5*q = 12 + 8. Suppose k = d + 2*d - 2*v - 29, -d + 1 = -5*v. Calculate the lowest common multiple of ((-11)/(-3))/(2/6) and d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}99{"query": "3/(-24) - (-1271)/2296", "pos": "((-2)/(-12))/(4/(96/18))", "neg": "Calculate the remainder when 23 is divided by (12/2 + -4)*3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}100{"query": "Let f(g) = -4*g + 1. Let h be (-2)/(-3) + 273/9. Let a = h - 18. What is the remainder when a is divided by f(-1)?", "pos": "Suppose 0 = -4*d + a + 12, -2*d - a = -3*d + 6. Suppose 0 = h + 2 - 4. What is the remainder when h is divided by d?", "neg": "Let a = 18 - 18. Solve -4 = -u, 2*v + 2 = 3*u - a for v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}101{"query": "Let h be (-78)/(-24) + (-3)/12. Suppose h*z - 42 = -z + 2*f, z = f + 8. What is the remainder when 24 is divided by z?", "pos": "Let z = 24 - -9. What is the remainder when z is divided by 9*(8/(-12) + 2)?", "neg": "Let h be ((-88)/(-77))/(4/14 - 0). Solve 2*z = h*q + 5*z - 6, 0 = 4*q - 4*z - 20 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}102{"query": "How many millimeters are there in fourty-six fifths of a centimeter?", "pos": "How many millimeters are there in six fifths of a centimeter?", "neg": "What is 0.4 plus 0.455?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}103{"query": "Calculate -0.064 + 734.", "pos": "Work out -0.4 + 7169.", "neg": "Solve -182 - 434 = -77*k for k.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}104{"query": "Suppose 4*j - 72 = -3*i, j - 5 = -i + 6*j. Calculate the remainder when i is divided by (2 + -4)*7/(-2).", "pos": "Let a be 72/(-27) + 2/(-6). Let i(p) = 2*p**2 + 2*p - 3. What is the remainder when i(a) is divided by 4?", "neg": "Suppose -2*c + 4*j - 30 = 2*j, -5*c = -2*j + 78. Let w be 3/12 + (-12)/c. Solve 2*r = -w - 3 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}105{"query": "How many litres are there in 0.9380185 millilitres?", "pos": "What is 995.4755ml in litres?", "neg": "What is 124 times 1.9?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}106{"query": "Let u be -3*(-6)/(-4)*2. Let w(d) = -d**2 - 9*d + 2. Let f be w(u). Solve 3*x - f*y = -0*y + 6, y = x - 1 for x.", "pos": "Suppose -a - 4 + 3 = 0. Let y be (-6 - (a + 1))*1. Let d be (-8)/y + 2/3. Solve 3 = w - d for w.", "neg": "Suppose -3*x = -2*y, -y - 3*x = -6*x. Let c = 2 - y. Suppose -c*u = 5*t - 1 + 9, 0 = 4*u + 3*t + 2. What is the remainder when 2 is divided by u?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}107{"query": "Four letters picked without replacement from {l: 6, o: 3, f: 1, t: 1, c: 3, z: 1}. What is prob of sequence fccc?", "pos": "Four letters picked without replacement from iiifmtmmsitmfmffm. What is prob of sequence ffmf?", "neg": "(6/30)/(1/3)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}108{"query": "What is ((-15)/(-45))/(5/9)?", "pos": "What is (-14)/(-10) - 1 - (-135)/225?", "neg": "What is the common denominator of ((-9)/(-60))/(12/488) and -119/20?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}109{"query": "What is the value of ((-12)/(-3)*1)/8?", "pos": "What is the value of (3/(-6))/(12/48)?", "neg": "Let b = -12 - -8. What is the common denominator of b/14 - (-158)/(-35) and (-675)/(-132) - 6/8?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}110{"query": "How many microseconds are there in 82.71096s?", "pos": "How many milliseconds are there in 38.5396 microseconds?", "neg": "What is 2896 to the power of 1/8, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}111{"query": "Suppose 5 = -p, -4*z - 15 = 5*p + 6. Let l be 8 + 9/9*(-8 + 3). Solve -m = 2*j + z, -13 = l*j - 2*m + 6 for j.", "pos": "Suppose 4*t + 9 = 5*q, -2 + 0 = 2*q - 3*t. Solve 13 = 2*z + f, q*z + 0*z - f = 15 for z.", "neg": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}112{"query": "Suppose -3*q - 16 = -5*q + 2*i, -4*i - 2 = -q. Let d(f) = -f**3 + 5*f**2 + f. Suppose 0 = 2*a - 5 - 3. Calculate the least common multiple of q and d(a).", "pos": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "neg": "Let y(a) = -a + 5. Let m be y(3). Solve f + 16 = -0*f - 4*c, -3*c - 12 = -m*f for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}113{"query": "Calculate -47 - 135639.", "pos": "Calculate -39 - 1459.", "neg": "Calculate the remainder when 49 is divided by (-2)/(-7) - (430/(-14) + 3).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}114{"query": "Suppose 2 = -s + 13. Calculate the remainder when s is divided by 4.", "pos": "Suppose -106 = -2*u + s, u - 40 = -5*s + 13. Calculate the remainder when u is divided by 14.", "neg": "Solve -d + 2*s + 14 = d, 4*d + 8 = -5*s for d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}115{"query": "What is 62991 to the power of 1/2, to the nearest integer?", "pos": "What is 59174 to the power of 1/2, to the nearest integer?", "neg": "How many millilitres are there in 67062.81l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}116{"query": "Suppose 0 = 4*j - 3*k - 17 - 5, j - 3*k = 1. Suppose -h - 3*p = h - 22, h + j = 3*p. Calculate the greatest common divisor of 35 and h.", "pos": "Let j(q) = 1. Let x(l) = 4*l - 2. Let t(u) = -3*j(u) - x(u). Let w be t(-1). Let z be w/(1 + (-75)/84). Calculate the greatest common divisor of z and 42.", "neg": "Let p = 2 + -1. Let c be 16/5 + p/(-5). Suppose 7*m - 4*t - 20 = c*m, -2 = -4*m - 5*t. Solve m*h = 2*h - 5*j - 13, -h - 2*j = 4 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}117{"query": "Calculate prob of sequence wzzg when four letters picked without replacement from zgwgpgz.", "pos": "Calculate prob of sequence mmnn when four letters picked without replacement from nznnnznnzmmnzzn.", "neg": "Work out 4 * 4.45.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}118{"query": "How many millilitres are there in 1/4 of a litre?", "pos": "What is 1/4 of a litre in millilitres?", "neg": "What is the smallest common multiple of 4 and 3/4 + 52/16?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}119{"query": "What is -280 divided by -10?", "pos": "What is (-4)/1*10/280?", "neg": "Calculate the remainder when -4*2/4*(2 - 43) is divided by 206/10 + (-4)/(-10).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}120{"query": "Evaluate 3 + 3 + (1 - 1).", "pos": "Evaluate (-1 - -3) + (14 - 12) + 1.", "neg": "Solve 3*l - 2*n + 4*n = 1, -n = -l + 2 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}121{"query": "What is next in 17, 111, 227, 377, 573, 827, 1151, 1557?", "pos": "What is next in 167, 365, 563, 761?", "neg": "What is 170524 to the power of 1/2, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}122{"query": "What is 2679 to the power of 1/8, to the nearest integer?", "pos": "What is 2896 to the power of 1/8, to the nearest integer?", "neg": "What is the next term in 2890, 2888, 2886, 2884, 2882, 2880?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}123{"query": "How many months are there in one twentieth of a decade?", "pos": "How many months are there in nineteen quarters of a decade?", "neg": "Let g(y) = -5*y - 12. What is the remainder when 20 is divided by g(-4)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}124{"query": "How many weeks are there in 62.6479056 minutes?", "pos": "How many weeks are there in 62920708.2 microseconds?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}125{"query": "Let u = 3 - 0. Suppose c = -u*v, 5*c + 0*v = 5*v. Solve -j = -2 - c for j.", "pos": "Let c = 5 + 0. Solve -c*u = -2*u + 3 for u.", "neg": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}126{"query": "Three letters picked without replacement from ccvvvvvbbvvvvvvbcv. What is prob of picking 2 b and 1 c?", "pos": "Three letters picked without replacement from csmqmzctcmqzct. What is prob of picking 1 c, 1 m, and 1 q?", "neg": "Solve 5*c + 3*c - 3*c = 0 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}127{"query": "Two letters picked without replacement from {y: 2, l: 6, w: 3, a: 1, p: 2, f: 4}. Give prob of sequence yw.", "pos": "Two letters picked without replacement from {f: 3, q: 2, s: 2, w: 6, j: 1, y: 1}. Give prob of sequence wy.", "neg": "Let q(c) = c. What is the remainder when 6 is divided by q(2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}128{"query": "What is the next term in 3370, 3369, 3368, 3367, 3366?", "pos": "What is the next term in 3441, 6888, 10337, 13788, 17241?", "neg": "What is 13288 + 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}129{"query": "What is 82497.11cm in kilometers?", "pos": "What is 94879.48cm in kilometers?", "neg": "What is 8416 divided by -2?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}130{"query": "Calculate prob of picking 1 j, 1 n, and 2 g when four letters picked without replacement from innvgninjnngvnn.", "pos": "Calculate prob of picking 2 o and 2 j when four letters picked without replacement from ojeoeoboebjbsjbbybo.", "neg": "Calculate -1 - (4 - -2) - -3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}131{"query": "What is prob of sequence zyz when three letters picked without replacement from {z: 5, y: 7}?", "pos": "What is prob of sequence zdz when three letters picked without replacement from qvooxvxzozdzxxv?", "neg": "Solve 5*c = 3*z - 31, 0*c + c + 7 = z for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}132{"query": "What is 4218 to the power of 1/2, to the nearest integer?", "pos": "What is 42213 to the power of 1/2, to the nearest integer?", "neg": "What is the next term in 4203, 8406, 12609?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}133{"query": "-212 divided by -13", "pos": "195 divided by -13", "neg": "Calculate the remainder when 219 is divided by (-398)/(-9) - (-40)/(-180).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}134{"query": "Let j(d) = d**3 - 14*d**2 + 15*d - 21. Let k be j(13). Solve k = -4*s - 11 for s.", "pos": "Let a(s) = -s**3 - 15*s**2 - 15*s - 14. Let d be a(-14). Solve 5*i + 5*f - f + 17 = d, 3*i = -5*f - 18 for i.", "neg": "Suppose -4*i = -11 + 3. Suppose i*b - 46 = -2*j, 2*b - 25 = -j + 3*b. Suppose -j = -2*d - d. What is the remainder when 14 is divided by d?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}135{"query": "Let y(c) = -c**3 + 6*c**2 + 4*c - 4. Suppose 2*n - 16 + 4 = 0. Calculate the smallest common multiple of y(n) and 4.", "pos": "Suppose -6*d + 2*d - 2*f = 0, -2*d - 2*f = 4. Suppose -5*n = -2*g - 0*g - 74, -3*g + 25 = n. Calculate the smallest common multiple of n and d.", "neg": "Suppose 2*i - 12 = -2. Solve 0 = -2*c - 2*n - 4, i*n = 4*n + 2 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}136{"query": "Let b = 40 + -18. Calculate the least common multiple of 42 and b.", "pos": "Let u = -10 + 18. Let c = 4 - 3. Calculate the smallest common multiple of c and u.", "neg": "Solve 24 = -16*b + 40 for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}137{"query": "Calculate prob of picking 3 n and 1 t when four letters picked without replacement from nnntntt.", "pos": "Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, n: 3}.", "neg": "Calculate 3/9 + 1*(0 + 0).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}138{"query": "What is prob of sequence nnn when three letters picked without replacement from {p: 6, n: 4}?", "pos": "What is prob of sequence nncc when four letters picked without replacement from nccnc?", "neg": "What comes next: 660, 661, 662, 663?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}139{"query": "How many millimeters are there in 7063.451km?", "pos": "How many meters are there in 889020.7km?", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}140{"query": "Let x be (2 + 0)*1 - 31. Let n = x - -44. Let u be ((-2)/(-5))/(3/n). Solve -u = -2*v + 3*f, -2*f - 22 = -5*v - 3*f for v.", "pos": "Suppose 4*b = 2*x - 22, 5*b = x - 0 - 20. Suppose 0 = -3*v - 21*v + 24. Solve -3*o - u = -5, -2*u = x*o + 2*u + v for o.", "neg": "Let v be (1/(-3))/((-4)/48). Suppose -v*x + l = -290 - 25, l = 3*x - 236. Calculate the remainder when x is divided by 27.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}141{"query": "Calculate 4 + -2 + -1 + (2 - -1).", "pos": "Calculate -1 - (4 - -2) - -3.", "neg": "Let t be 4 + -2 + 1/1. Let z = -1 + t. Solve z*q - q = 0 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}142{"query": "Solve -2 + 48 = -23*w for w.", "pos": "Solve -4*w + 16 = 4*l, 8*w - 4*l = 3*w - 25 for w.", "neg": "Suppose -4*w - 3*h = -22, 0*w + w + h = 6. Calculate the remainder when 6 is divided by w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}143{"query": "Let d(l) = l**2 - 3*l. Let x = 2 + 0. Suppose -x*b + 13 = 1. Calculate the remainder when d(5) is divided by b.", "pos": "Suppose -13 - 5 = 3*x. Let p be (2 - (1 - 1)) + x. What is the remainder when 5 is divided by 1*(0 - (p - -1))?", "neg": "Let d = 5 - 3. Let z be (1 + 0)*(5 - 2). Suppose -z*l = d*l. Solve -x + 0 + 1 = l for x.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}144{"query": "Let h(j) = -j**3 + j**2 + j + 80. Let n be h(0). Let f = -4 - -14. Calculate the highest common divisor of f and n.", "pos": "Suppose 34 = -p - p - 2*r, 0 = -p - 2*r - 13. Let v = 38 + p. Let b = -12 - -80. Calculate the highest common divisor of v and b.", "neg": "Let b(j) = -j**3 - 8*j**2 + j + 10. Let n be b(-8). Suppose 4*d - 16 = -n*v - d, -4*d + 8 = 0. Solve -26 = -5*h + 2*t, 0*t = 3*h + v*t - 3 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}145{"query": "0.5 times 0.43", "pos": "What is 0.4 plus 0.455?", "neg": "What is 42/5 of a centimeter in millimeters?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}146{"query": "Convert 56306.529us to days.", "pos": "Convert 7.3754496 minutes to days.", "neg": "Divide -5056 by 1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}147{"query": "Divide 17 by -12.", "pos": "Divide -12 by 12.", "neg": "Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}148{"query": "Let f = 76/125 - 11537/1500. What is the common denominator of (-220)/(-45)*(-33)/(-8) and f?", "pos": "Let f = 165937/16110 - 2/8055. What is the common denominator of 79/106 and f?", "neg": "What is (81/135)/(18/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}149{"query": "What is the cube root of 124458 to the nearest integer?", "pos": "What is the cube root of 14948 to the nearest integer?", "neg": "What comes next: 1597, 3212, 4825, 6436?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}150{"query": "Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {z: 1, w: 2, s: 3, l: 4}.", "pos": "Calculate prob of picking 2 w, 1 x, and 1 f when four letters picked without replacement from xzwwbzwgfzgwwwz.", "neg": "Solve 2*z + 2*x + 12 = 0, -x + 6 = -3*z + 2*x for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}151{"query": "Two letters picked without replacement from {u: 1, a: 1, e: 1, r: 2}. What is prob of picking 1 r and 1 a?", "pos": "Two letters picked without replacement from rxttc. What is prob of picking 1 x and 1 r?", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}152{"query": "What is 20133.759ms in minutes?", "pos": "What is 30201.12 minutes in nanoseconds?", "neg": "What is 124 times 1.9?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}153{"query": "Suppose 20 = 5*f - 10. Let g = f - 15. Let y = 15 + g. Solve -4*i - y = -7*i for i.", "pos": "Solve 5*i = 9*i - 3*q - 20, -4*i + 20 = -2*q for i.", "neg": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}154{"query": "Four letters picked without replacement from {m: 12, w: 3}. Give prob of picking 1 m and 3 w.", "pos": "Three letters picked without replacement from {y: 12, m: 3}. What is prob of picking 3 m?", "neg": "Suppose y = q - 12, y - 5*y + 8 = 4*q. Solve 4 = q*w - 3*w - 4*n, -4*n = 3*w - 10 for w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}155{"query": "Let u(d) = 5*d - 3. Calculate the remainder when 85 is divided by u(5).", "pos": "Suppose 0 = -o - 4*o - 4*z + 85, -4*o + 5*z = -27. Let b = o + 15. Calculate the remainder when b is divided by 2 - 3 - 33/(-3).", "neg": "75 divided by 75", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}156{"query": "Three letters picked without replacement from bbrtbrububtbjutbu. Give prob of sequence tbr.", "pos": "Three letters picked without replacement from fgtthjtt. Give prob of sequence fth.", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}157{"query": "What is prob of sequence gz when two letters picked without replacement from ggxzflflllfxlfxlff?", "pos": "What is prob of sequence gw when two letters picked without replacement from rrrrwggrwprg?", "neg": "What comes next: 19, 16, 25, 58, 127?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}158{"query": "What is 0.1639607ml in litres?", "pos": "What is 79297.05ml in litres?", "neg": "What is 1141.09 less than 1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}159{"query": "Two letters picked without replacement from mqmqqqqqqqqmqqqqo. Give prob of picking 1 o and 1 m.", "pos": "Two letters picked without replacement from mfmmmmmm. Give prob of picking 1 m and 1 f.", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}160{"query": "How many micrograms are there in 3.887588mg?", "pos": "What is 3/8 of a milligram in micrograms?", "neg": "0.03 times 8.58", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}161{"query": "Let n(r) = 3*r + 1 - 2*r + 4 - 4 - r**3. Let i(m) = m**3 - 2*m**2 + 2*m + 1. Let t(x) = i(x) - n(x). What is the remainder when 18 is divided by t(2)?", "pos": "Let t(n) = n**2 + 8*n + 3. Let h(j) = -j**3 + 3*j**2 - 4*j + 2. Let a be h(4). Let z = -8 - a. Calculate the remainder when z is divided by t(-9).", "neg": "Suppose 188*t = 182*t. Suppose -3*p + 18 = -3*q, 3*p - 6*p + 18 = 5*q. Let f = p - 3. Solve t = -0*z - f*z - 12 for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}162{"query": "Let t(g) = g - 3. Let p be t(5). Suppose 0 = p*m + 4*r - 48, 4*m - 2*m = -r + 33. Calculate the remainder when 25 is divided by m.", "pos": "Let t(g) = -4*g**2 - g**3 + 2*g**3 + 1 - 3*g - 2*g**3. Suppose -o - 2*k = -6, 0*o - 2*k + 14 = -o. Calculate the remainder when 38 is divided by t(o).", "neg": "Let h = -3 - -5. Suppose -3*t + 3*p + 3 = -p, -p = -2*t + h. Let i be 1*(2 - 0) - t. Solve -2*l - i = -l for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}163{"query": "Four letters picked without replacement from {g: 2, y: 4, i: 1, k: 4}. Give prob of sequence kyik.", "pos": "Four letters picked without replacement from kkkkkckckkc. Give prob of sequence kkkc.", "neg": "Let f(g) = g**2 - 2*g - 4. Let s be f(4). Suppose 119 - 31 = s*r. Let k = r - 15. What is the units digit of k?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}164{"query": "Calculate prob of picking 2 q when two letters picked without replacement from qbbbbqbbqqpbpqbbq.", "pos": "Two letters picked without replacement from qsbvbbbqqvbs. Give prob of picking 2 q.", "neg": "Solve 50 = 10*q - 0*q for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}165{"query": "Solve -5 = 5*q - 0 for q.", "pos": "Solve 50 = 10*q - 0*q for q.", "neg": "Suppose -5*q + 110 = -0*q. What is the remainder when 63 is divided by q?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}166{"query": "What is 130798 to the power of 1/6, to the nearest integer?", "pos": "What is 1366 to the power of 1/3, to the nearest integer?", "neg": "How many millilitres are there in 3.861906l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}167{"query": "Suppose 5 = -3*r - 4. Let b(f) = 3*f**2 + 2*f - 3. Let c be b(r). Calculate the highest common divisor of c and 6.", "pos": "Suppose 2*c + 9 = -3. Let o = c - -4. Let b be (o/5)/(2/(-10)). Calculate the highest common divisor of 5 and b.", "neg": "Let z be ((-6)/4)/(3/(-6)). Let j(g) = -g**3 + 3*g**2 + g - 3. Let x be j(3). Let m be (-5 + x)*3/(-5). Solve 6*c - c = 5, -3*c + m = z*r for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}168{"query": "What is the square root of 11361 to the nearest integer?", "pos": "What is the square root of 1297 to the nearest integer?", "neg": "What comes next: 11, 16, 31, 62, 115, 196?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}169{"query": "In base 11, what is -37 + 35?", "pos": "In base 12, what is -37 + 28?", "neg": "Let b = 37 - -12. What is the remainder when b is divided by 26?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}170{"query": "Four letters picked without replacement from {g: 1, m: 2, l: 4, y: 2, h: 1}. Give prob of sequence hlgm.", "pos": "Four letters picked without replacement from llglllllnnlnle. Give prob of sequence lnlg.", "neg": "9 - -4 - 6 - 7 - 1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}171{"query": "Suppose 0*x - x - 9 = 0. Let b = -2 - x. What is the units digit of b?", "pos": "Suppose -3*x - 2*x = 0. Suppose 0 = -2*j + 3*v - 8, 2*j - 2*v + 4 = -x*v. What is the units digit of j?", "neg": "Solve -10 = -4*b + 10 for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}172{"query": "Let p be 2 - (-3)/((-6)/8). Let j = -2 - p. Let z = 46 - 46. Solve -3*w + j*w + 9 = z for w.", "pos": "Suppose 5 = -p, -4*z - 15 = 5*p + 6. Let l be 8 + 9/9*(-8 + 3). Solve -m = 2*j + z, -13 = l*j - 2*m + 6 for j.", "neg": "Suppose 2*h + 3*z = 3*h, 0 = -h + 5*z. Calculate the remainder when (h - 4)*(-21)/6 is divided by 8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}173{"query": "Four letters picked without replacement from {c: 1, k: 3, l: 3, e: 2, m: 2, z: 3}. Give prob of sequence clkk.", "pos": "Four letters picked without replacement from {e: 3, q: 9, r: 1, o: 2, c: 3}. Give prob of sequence ccoq.", "neg": "Solve 116*c - 114*c - 4 = 0 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}174{"query": "Let o(a) = 4*a + 3. Let c be o(3). Suppose d = -0*d - 4*i - c, -3*d = 5*i + 17. Suppose -y + 5 - d = 0. What is the units digit of y?", "pos": "Suppose 4 - 1 = 3*p + 5*n, -3*n - 9 = 0. Let d(c) = c**2 - 6*c. Let m be d(p). Suppose 2*q - 23 = b, m = -0*q + 4*q + 3*b - 21. What is the units digit of q?", "neg": "Let a(y) = -y**3 + 5*y**2 - 5*y + 5. Let f be a(4). Suppose l - b + f = 10, 4*l - 32 = 3*b. Solve -2*d - 4*o - 4 = 0, -3*o = l*d - 1 - 10 for d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}175{"query": "Suppose 3*h = -d - 598, 0 = 7*h - 2*h + d + 998. Let t = 299 + h. Suppose 15 = 2*q - 7. Calculate the greatest common factor of t and q.", "pos": "Suppose -2*g - q = -15, -6*g + q + 27 = -2*g. Let s = 1 - -6. Calculate the highest common factor of g and s.", "neg": "Let t = -8 + 5. Let h = t + 7. Let r be (-8)/24*(-27 - 0). Solve r*q - h*q = 0 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}176{"query": "0.0249 * -0.03", "pos": "-2.309 * -0.1", "neg": "Calculate the remainder when 219 is divided by (-398)/(-9) - (-40)/(-180).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}177{"query": "Let z = -20 - -18. Let v be (3/z)/(6/(-504)). Calculate the greatest common divisor of v and 14.", "pos": "Let h = -20 + 24. Let g be ((-12)/15)/(h/(-50)). Calculate the greatest common divisor of g and 5.", "neg": "Let h be ((-88)/(-77))/(4/14 - 0). Solve 2*z = h*q + 5*z - 6, 0 = 4*q - 4*z - 20 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}178{"query": "Suppose 3*j - 5*m = 41, 5*j + 0*j = 4*m + 77. Suppose -2*p - p - j = -5*x, -2*x - 3*p = 10. What is the units digit of (x + 0)*(3 - -8)?", "pos": "Suppose -4*j = -4*u + 40, 3*u = 5*j - 0*j + 48. Let p = 17 + j. What is the units digit of p?", "neg": "Suppose 0 = 3*j + 8 - 20. Suppose 23 = j*y - 89. Solve 2*x = 4*a - y, -4*x + 5*a - a = 36 for x.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}179{"query": "Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kkkmkkm.", "pos": "Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, k: 1}.", "neg": "Solve 0 = 1150*k - 1147*k + 3 for k.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}180{"query": "What is 32972 to the power of 1/3, to the nearest integer?", "pos": "What is the third root of 27434 to the nearest integer?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}181{"query": "Calculate -7 + 7 + (-5 - -3).", "pos": "Calculate -5 + -3 + (0 - -7) - -2.", "neg": "Solve 0 = -2*y + 7 + 3 for y.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}182{"query": "Let c = 2291/723 - 1/482. Let p = -45843/1852 + 3/926. What is the common denominator of p and c?", "pos": "Let z = -2631/28 + 768/7. Let y = -4435/712 + -13/89. What is the common denominator of z and y?", "neg": "Solve -4*p - 3*c = -8, -46 + 50 = 2*p - c for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}183{"query": "Convert 7.612599 years to decades.", "pos": "Convert 75781.79 centuries to decades.", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}184{"query": "Convert 483.935ms to seconds.", "pos": "Convert 56.3788 seconds to microseconds.", "neg": "Calculate 3805*0.5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}185{"query": "Let j(h) be the second derivative of -h**3 - 3*h. Let d be j(-3). Let i(z) = z**2 + 4*z + 1. Let u be i(-5). Calculate the highest common factor of u and d.", "pos": "Let q(j) be the first derivative of j**3/3 + j - 1. Let n be q(-2). Calculate the highest common divisor of 5 and n.", "neg": "Let a(h) be the third derivative of h**6/120 - h**5/15 + h**4/24 - h**3/3 + 4*h**2. Let z be a(4). Solve 2*o = z*n - 8, 0*o - 4 = -2*n - 2*o for n.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}186{"query": "Evaluate 3 + (0 - 4 - (-3 - 2)).", "pos": "Evaluate (3 - 2) + -3 + -2.", "neg": "Let c be 0/3 + 5 - 3. Suppose c*o + 0 = 4. Solve o*l = -0*l - 2 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}187{"query": "Two letters picked without replacement from yyllllllylycl. Give prob of sequence ll.", "pos": "Two letters picked without replacement from yyyl. Give prob of sequence yl.", "neg": "What comes next: 97, 95, 93, 91, 89, 87?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}188{"query": "What is the next term in 51, 99, 147, 195, 243?", "pos": "What is the next term in 93, 154, 215, 276, 337, 398?", "neg": "What is 1457 to the power of 1/9, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}189{"query": "Let w be 24/(-18)*(-6)/4. Suppose -w*f + 10 = -0*f. Solve -4*r - 3*a + 11 = 0, f*r + 8*a - 14 = 4*a for r.", "pos": "Suppose -a - 4 + 3 = 0. Let y be (-6 - (a + 1))*1. Let d be (-8)/y + 2/3. Solve 3 = w - d for w.", "neg": "Suppose -o = 4*o - 5*r - 80, 0 = -2*o - 5*r + 25. Let z = 9 - o. Find the common denominator of z*(-3)/12*9 and -33/4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}190{"query": "-196 divided by 7", "pos": "-774 divided by -3", "neg": "Calculate the remainder when 49 is divided by (-2)/(-7) - (430/(-14) + 3).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}191{"query": "Calculate -19 divided by -1.", "pos": "19 divided by 19", "neg": "Let n = -34 + 77. Calculate the remainder when n is divided by 9.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}192{"query": "Solve -4*f = 3*o - 3 + 4, 2*o - 3*f - 5 = 0 for o.", "pos": "Solve 3*x - 3 = -0*f - 2*f, -4*f + 4*x = 4 for f.", "neg": "Suppose 2*k + 3*l + 2 - 1 = 0, 3*k - 2*l - 5 = 0. Let f be (4/k)/((-1)/(-2)). Suppose 3*r + 5 = f. What is the lowest common multiple of r and 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}193{"query": "Suppose -6*v + 36 = -3*v. Suppose 0 = z - 5*z + v. Solve 0*g = g + z for g.", "pos": "Let s = -2 + 6. Suppose j + 36 = s*j. Solve g - 5*g - j = 0 for g.", "neg": "Suppose -2*v + 3*l - 12 = 0, -3*l = -0*v + 2*v - 12. Suppose v = i + i - 42. Calculate the remainder when i is divided by 6.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}194{"query": "What is prob of picking 1 q, 1 p, and 1 s when three letters picked without replacement from cqqqqscqpc?", "pos": "Three letters picked without replacement from csmqmzctcmqzct. What is prob of picking 1 c, 1 m, and 1 q?", "neg": "Solve -3*q - 2 - 1 = 0 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}195{"query": "((-510)/72)/(-17)*22/11", "pos": "Calculate 11 divided by -749.", "neg": "Suppose 5*x - 7 = -22. Let p = 11 + x. Let b be p/2 - 1/1. Solve 0 = -m + b*m - 6 for m.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}196{"query": "Let r = -220/7 + 823/42. Let c = 3896267/14784 - 2899/11. Let g = c - 5881/1344. Calculate the common denominator of r and g.", "pos": "Let k = 5811/122 - 8/61. Let l = 2143/345 + -34/23. Let r = l + -13/45. Calculate the common denominator of k and r.", "neg": "Suppose -2*c + 4*j - 30 = 2*j, -5*c = -2*j + 78. Let w be 3/12 + (-12)/c. Solve 2*r = -w - 3 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}197{"query": "How many nanoseconds are there in 0.9277696 minutes?", "pos": "How many nanoseconds are there in 94192.02 minutes?", "neg": "9 - -5279", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}198{"query": "Solve 14*c - 20 = 10*c for c.", "pos": "Solve z = -5*c - 21, 2*c - 10*z = -14*z - 12 for c.", "neg": "Let o = -6 - -11. Suppose 3*c + 3*h + o = -1, 4*h = -20. What is the units digit of c?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}199{"query": "How many kilograms are there in fourty-four fifths of a tonne?", "pos": "How many kilograms are there in thirty-four fifths of a tonne?", "neg": "Calculate 0.4*142.5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}200{"query": "What is prob of sequence fpft when four letters picked without replacement from {p: 1, m: 3, t: 3, r: 1, f: 3}?", "pos": "What is prob of sequence fff when three letters picked without replacement from {h: 1, j: 2, v: 1, f: 1}?", "neg": "Evaluate 3 + 3 + (1 - 1).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}201{"query": "How many milligrams are there in 3/5 of a gram?", "pos": "How many milligrams are there in three fifths of a gram?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}202{"query": "Solve 2*j - 2 = 8*c - 10*c, -4*c + 2 = 5*j for j.", "pos": "Solve 114 = -2*j - 5*c + 142, 23 = -5*j + 3*c for j.", "neg": "Suppose -3*i + 12 = -2*i. Let j = i - 8. Suppose -4*c - 4 = -4*h, -j*c - 5 - 1 = -5*h. Calculate the lowest common multiple of 7 and h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}203{"query": "Let q = -2 + 3. What is the smallest common multiple of 0 + 9 + q + 0 and 1?", "pos": "Let q be (25 + 1)/2 - (5 + -3). What is the highest common divisor of q and 99?", "neg": "Solve -3*q - 2 - 1 = 0 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}204{"query": "Let a = 28 + -25. Solve 2*f + 14 = 4*s, 4*f + 3 = -a*s - 14 for f.", "pos": "Solve -2*b + 28 = -5*q, -b - q + 4 = b for b.", "neg": "Suppose 5*a - 4*a - 26 = 2*s, 4*a - 5*s - 104 = 0. What is the remainder when a is divided by 14?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}205{"query": "-4 + 2 - -3 - 5 - -2", "pos": "(-4 - 0) + 0 + 10 + -6", "neg": "What comes next: -6, -4, -4, -6, -10, -16?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}206{"query": "Suppose 633 = 4*h - 11. What is the greatest common divisor of 23 and h?", "pos": "Suppose 0 = 4*h - 6*h + 6. What is the lowest common multiple of 23 and h?", "neg": "Solve -3*h = -11*h + 16 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}207{"query": "What is one tenth of a millennium in centuries?", "pos": "What is 1/10 of a century in decades?", "neg": "What is 100619 to the power of 1/10, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}208{"query": "What is 15/4 of a week in minutes?", "pos": "What is sixty-four sevenths of a week in minutes?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}209{"query": "Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {d: 2, o: 7, u: 2, i: 1, x: 4}.", "pos": "Calculate prob of picking 1 w, 1 u, 1 y, and 1 l when four letters picked without replacement from {l: 2, y: 4, i: 2, u: 1, w: 1, q: 7}.", "neg": "Calculate (-7)/(-2)*2/7.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}210{"query": "Suppose -3*x = -2*y, -y - 3*x = -6*x. Let c = 2 - y. Suppose -c*u = 5*t - 1 + 9, 0 = 4*u + 3*t + 2. What is the remainder when 2 is divided by u?", "pos": "Let y = -2 - -3. Let x(p) = p**3 + 7*p**2 - 6*p + 9. Let b be x(-8). Let n = b + 9. What is the remainder when n is divided by y?", "neg": "Let u be -3*(-6)/(-4)*2. Let w(d) = -d**2 - 9*d + 2. Let f be w(u). Solve 3*x - f*y = -0*y + 6, y = x - 1 for x.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}211{"query": "What is the value of -59 - -62 - (0 - 2)?", "pos": "What is the value of 2 + (-3 - (0 + -5)) - 2?", "neg": "What comes next: -26, -42, -58, -74, -90, -106?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}212{"query": "Two letters picked without replacement from aaaaaannananaa. What is prob of sequence na?", "pos": "Two letters picked without replacement from apnmnor. What is prob of sequence ao?", "neg": "What comes next: 97, 95, 93, 91, 89, 87?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}213{"query": "Solve -2*c + 5*y = -11, -2*c - 98*y + 8 = -100*y for c.", "pos": "Solve 114 = -2*j - 5*c + 142, 23 = -5*j + 3*c for j.", "neg": "Let u = 79/5 + -87/5. Suppose -6*c - 128 = -2*c - 2*y, -12 = -3*y. What is the common denominator of u and 6/2 + (-252)/c?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}214{"query": "How many years are there in 263741.25 months?", "pos": "How many years are there in 1733952.3 months?", "neg": "What is 21.07919 plus 5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}215{"query": "Suppose 0 = -5*w - 3*y + 1878, -3*w + y = 2*y - 1130. Suppose 83 = a - 142. Let n = w - a. What is the highest common factor of n and 17?", "pos": "Suppose -5*g + 4*r - 114 = -774, 0 = -2*g - 3*r + 287. What is the highest common divisor of g and 17?", "neg": "Let y(n) = n**2 - 3*n - 22. Let j be y(7). Suppose -j*z + 7*z - 8 = 0. Solve 4*f + k = z, -5*f + 2*k + 25 = 7*k for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}216{"query": "Suppose 4 - 1 = 3*p + 5*n, -3*n - 9 = 0. Let d(c) = c**2 - 6*c. Let m be d(p). Suppose 2*q - 23 = b, m = -0*q + 4*q + 3*b - 21. What is the units digit of q?", "pos": "Let v be (-3 - (-3 - -1)) + 3. Let h be 0/((-3)/2*v). Suppose h*q - 16 = -4*q - 4*n, 5*q - 24 = -4*n. What is the units digit of q?", "neg": "Let c = 4 - 2. Suppose 0 = n + c*n - u - 27, -3*n + 18 = 2*u. Suppose 3*p - n = 4. Solve 0 = 3*w - p - 2 for w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}217{"query": "What is the next term in 298, 595, 892, 1189?", "pos": "What is the next term in 126, 258, 390, 522?", "neg": "What is 2896 to the power of 1/8, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}218{"query": "How many micrograms are there in 0.315609 tonnes?", "pos": "What is 3.603696 tonnes in grams?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}219{"query": "Product of 0.157 and 2.", "pos": "Product of 0.5 and 0.00302.", "neg": "Let s = -22 + 57. Let l = s + -22. Calculate the greatest common divisor of l and 65.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}220{"query": "Let l be ((-22)/(-4))/(6/72). What is the highest common factor of 44 and l?", "pos": "Let z be 4/(-14) - (-492)/7. What is the highest common divisor of z and 14?", "neg": "(-4)/68*(-14)/(-7)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}221{"query": "Calculate prob of picking 3 l and 1 h when four letters picked without replacement from hlmlhhlhhlllllllhllh.", "pos": "Calculate prob of picking 3 h when three letters picked without replacement from huhuhhuhhhucu.", "neg": "Let m(h) = h**3 - 2*h**2 - 4*h + 4. Let x = 3 + 0. Let d be m(x). Calculate the common denominator of (d - 1) + 51/24 and 13/4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}222{"query": "Suppose 0 = -2*b + 22 - 6. Suppose b*t - 76 = 4*t. Let u = t - 8. What is the units digit of u?", "pos": "Suppose -4*s = -8, -3*s - 982 = -6*u + 2*u. What is the units digit of u?", "neg": "Suppose 2*x - 10 = -2. Let t(f) = -f**3 + 5*f**2 - 2*f - 6. Let m be t(x). Solve u - 5 = m*u, b + 4*u = -24 for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}223{"query": "What is -0.51 - -214?", "pos": "What is -0.05 - -437.1?", "neg": "What is next in -154, -164, -180, -202?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}224{"query": "What is 4/3 of a hour in minutes?", "pos": "What is 3/40 of a day in minutes?", "neg": "Let b(o) be the third derivative of -o**5/60 + 3*o**4/8 - o**3/2 - 3*o**2. What is the remainder when 33 is divided by b(4)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}225{"query": "In base 6, what is 2 + -223?", "pos": "In base 6, what is 24 + 11021?", "neg": "Suppose -i = -2*i + 22. What is the tens digit of i?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}226{"query": "Suppose 2*a = -0*a. Suppose a = -5*q + 2*l + 3*l, 4*q - 10 = -l. What is the smallest common multiple of q and 12?", "pos": "Suppose 3*q - 12 = -3*k, -4*k + 5*q = 12 + 8. Suppose k = d + 2*d - 2*v - 29, -d + 1 = -5*v. Calculate the lowest common multiple of ((-11)/(-3))/(2/6) and d.", "neg": "Let q(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let d be (12/(-24))/(1/(-4)). Let w be q(d). Solve 5*c + 4*a + 11 = 0, -2*c + 38 = -w*a + 16 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}227{"query": "What is 72/5 of a litre in millilitres?", "pos": "What is eighteen fifths of a litre in millilitres?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}228{"query": "Let l = 5 + -9. Let x = 7 + l. Solve -x*d - 4*w - 17 = 0, 15 = -3*d - 3*w - 0*w for d.", "pos": "Let o = 7 + -5. Solve 3*l + 5 = o for l.", "neg": "Suppose 5*d + 2*m - 50 = 0, d + 4*m - 8 - 2 = 0. Let w(x) = -x**2 + 11*x - 9. Let r be w(d). Calculate the remainder when 17 is divided by (-33)/(-3) - 2/r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}229{"query": "What is fourty-three halves of a meter in millimeters?", "pos": "How many meters are there in fourty-three halves of a kilometer?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}230{"query": "Calculate the lowest common multiple of (21*-1 + -1)/(-2) and 6.", "pos": "Calculate the lowest common multiple of 6 and (1/(-2))/(3/(-114)).", "neg": "Evaluate 6/21*3*(-3)/9.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}231{"query": "Solve 11*h = 14*h + 2*t + 22, -h + 3*t + 11 = 0 for h.", "pos": "Solve -12*h + 14 = 2*h for h.", "neg": "Let c be ((-2)/(-3))/((-3)/(-9)). Let i(h) = 12*h**2 + 2*h. What is the remainder when i(c) is divided by 11?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}232{"query": "What is 276 + 0.06?", "pos": "In base 6, what is 2 + -223?", "neg": "What is 607.907 millilitres in litres?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}233{"query": "In base 3, what is 100000 + -12?", "pos": "In base 3, what is 12 - -11020?", "neg": "Suppose -12*h + 2496 = -0*h. What is the hundreds digit of h?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}234{"query": "Let k be (-50)/15*(-3)/(-2). What is the tens digit of (48 + k)*(-2 + 3)?", "pos": "What is the tens digit of -2 - -15 - (-36)/12?", "neg": "What is 10720 to the power of 1/5, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}235{"query": "Suppose 0 = 7*p - 6*p - 5*x - 38, 2*x = 4. Suppose 2*g - p = 5*f, -3*g = g + 5*f - 66. What is the remainder when g is divided by ((-14)/3)/(8/(-12))?", "pos": "Suppose 4*g - 9 - 7 = 0. Suppose 0 = -4*y + g*u + 144, 2*u = 3*y - 0*y - 111. Calculate the remainder when y is divided by 396/39 + 2/(-13).", "neg": "Suppose 36 = f + 3*f. Let s = -5 + f. Solve -3*p - 4*r = 0, -4 = -0*p - 2*p - s*r for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}236{"query": "Suppose 3*u + 12 = o, 8 = -2*o - 0*u - 2*u. Let l(w) = -5 + 2*w**3 - 3*w**3 + 0*w + o*w**3 - 10*w**2 - w. What is the units digit of l(-10)?", "pos": "Suppose 0 = -z - 3*z + l + 3, -2*l = 2*z + 6. Let j = 3 + z. Suppose -t + 13 = j*t - q, -2*q - 10 = 0. What is the units digit of t?", "neg": "Suppose -u = 3*w - 10, -3*w = -4*w - 2*u. Suppose -w*d + 15 = 3. Solve o = -d*o + 16 for o.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}237{"query": "Three letters picked without replacement from {j: 2, y: 2, k: 1, u: 4}. Give prob of picking 2 j and 1 u.", "pos": "Four letters picked without replacement from {y: 6, b: 1, u: 4}. What is prob of picking 2 y and 2 u?", "neg": "(1*2/(-1))/((-2)/(-3))", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}238{"query": "93 divided by -93", "pos": "Calculate -19 divided by -1.", "neg": "Let n = -34 + 77. Calculate the remainder when n is divided by 9.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}239{"query": "What is (-3)/7*7/((-63)/(-12))?", "pos": "What is the value of (-12)/(-6)*1/(-7)?", "neg": "What is the least common multiple of 7 and (-13)/((-39)/9)*(0 - -2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}240{"query": "Let u be (-12)/(-36) + (-16)/(-6). Solve -i + u*i = 0 for i.", "pos": "Suppose 0 = -c - 1 + 6. Suppose 9 = -3*m - c*i, 5 = -m - 3*i - 2. Solve 2*u + 0 - m = 0 for u.", "neg": "Suppose -2*v + 3*l - 12 = 0, -3*l = -0*v + 2*v - 12. Suppose v = i + i - 42. Calculate the remainder when i is divided by 6.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}241{"query": "Calculate the smallest common multiple of -5 + (-21)/(-4) - 262/(-8) and 24.", "pos": "What is the smallest common multiple of (-4)/12*(-20 - -2) and 4?", "neg": "Evaluate 3 + -5 + (-24)/(-6).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}242{"query": "Let s be 10/(-72)*2*-5708. Let l = -1580 + s. Let x = 1992 + -12035/6. Find the common denominator of x and l.", "pos": "Let d be 354/(-10) + (-12)/(-30). Let o = 1105 - 2151/2. Calculate the common denominator of 3 - 3/(6/d) and o.", "neg": "10/(-60) + 14/(-24)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}243{"query": "Let v(g) be the third derivative of g**5/60 - g**4/8 + 5*g**3/6 + 2*g**2. Suppose 2 = -3*f + 14. What is the units digit of v(f)?", "pos": "Suppose -2 = 4*y - 2*n - 14, -4 = 2*n. Let i(l) be the third derivative of l**5/60 + l**4/8 - l**3/6 + l**2. What is the units digit of i(y)?", "neg": "Let t(d) be the third derivative of -1/60*d**5 - 1/2*d**3 + 0*d + 0 - d**2 - 1/4*d**4. Let p be t(-4). Solve f - 12 = p*f for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}244{"query": "Calculate the least common multiple of 3*(-2)/(-27) + (-1424)/(-72) and 2.", "pos": "What is the least common multiple of 7 and (-13)/((-39)/9)*(0 - -2)?", "neg": "Calculate -27 + 29 - (-2 + 3).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}245{"query": "Let a(g) = g**3 - 2*g**2 + g - 2. Let v be a(3). Let x = v + 15. What is the units digit of x?", "pos": "Let y(l) = -15*l + 5. Let x be y(-16). Suppose 0 = 5*i + 10 - x. What is the units digit of i?", "neg": "Let b(l) = l**3 - 2*l**2 - 3*l. Let g be b(3). Solve g*f + 15 = -3*f for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}246{"query": "What is 1366 to the power of 1/3, to the nearest integer?", "pos": "What is 130798 to the power of 1/6, to the nearest integer?", "neg": "What is the next term in 3370, 3369, 3368, 3367, 3366?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}247{"query": "Let b = 42 - 19. Calculate the remainder when 112 is divided by b.", "pos": "Let f(u) = -6*u - 19. Calculate the remainder when 44 is divided by f(-7).", "neg": "19 divided by 19", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}248{"query": "What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 1, n: 2}?", "pos": "What is prob of picking 1 f and 1 d when two letters picked without replacement from {t: 1, b: 2, f: 1, d: 2}?", "neg": "Suppose 2*n + 2*n = 4. Suppose -n = f - 2. What is the highest common divisor of f and 5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}249{"query": "What is (-5)/2*(-136)/170?", "pos": "What is ((-28)/(-70))/(3/(-15))?", "neg": "What is the least common multiple of 7 and (-13)/((-39)/9)*(0 - -2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}250{"query": "In base 13, what is 7a79 - -5?", "pos": "In base 13, what is -5 - 51?", "neg": "Suppose 0*a + 134 = a. What is the remainder when a is divided by 27?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}251{"query": "Suppose 5*i = 2*i + 4*b + 10, -5 = i - 3*b. Suppose 6*v - 3*v = -2*v. Suppose i = -v*s + s. What is the tens digit of s?", "pos": "Suppose -b - 3*g = 2*b - 231, -310 = -4*b - 2*g. Suppose -5*k = -10, 5*k + b = 2*u - 0*u. What is the units digit of u?", "neg": "Suppose v + 5 = 10. Suppose -4*b = 4*d - 3*d - 23, -3*b = -v*d. Let h(q) = -q - 1. Let j be h(-4). Solve j = -2*t - d for t.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}252{"query": "-1.72 * -1", "pos": "-7.3 * -0.5", "neg": "Solve -7*l = 69 - 76 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}253{"query": "Three letters picked without replacement from uuourrorrru. Give prob of picking 2 r and 1 o.", "pos": "Three letters picked without replacement from rrrrrrrrrrbrrrrrrrrb. What is prob of picking 1 b and 2 r?", "neg": "(6/30)/(1/3)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}254{"query": "How many litres are there in 0.583058 millilitres?", "pos": "How many litres are there in 0.0574492 millilitres?", "neg": "What is 56508 divided by 4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}255{"query": "Convert 305.6049 months to decades.", "pos": "Convert 279817.2 months to centuries.", "neg": "Calculate 210 divided by 5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}256{"query": "What is 1/4 of a year in months?", "pos": "How many months are there in 1/4 of a century?", "neg": "What is -4 divided by -32?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}257{"query": "Four letters picked without replacement from {m: 8, g: 5}. What is prob of sequence mmgm?", "pos": "What is prob of sequence mlmg when four letters picked without replacement from gdlummtlu?", "neg": "What is next in 85, 84, 83, 82?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}258{"query": "Let q = 3 - -9. What is the highest common divisor of 6 and q?", "pos": "Suppose 3*q = -6*q + 360. What is the highest common divisor of q and 280?", "neg": "Solve 3*q = -3*q - 18 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}259{"query": "In base 9, what is -6 + 4568?", "pos": "In base 9, what is -432 - -5?", "neg": "How many millilitres are there in 9.081666 litres?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}260{"query": "What is 2 + -10 + 1 - (-11 + 8)?", "pos": "What is (-1 - 0) + -5 + -6 + 8?", "neg": "What is next in 2, -4, -10?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}261{"query": "Calculate prob of sequence kab when three letters picked without replacement from bbiaaaakabbka.", "pos": "Calculate prob of sequence woq when three letters picked without replacement from woqcvkc.", "neg": "Calculate 3/9 + 1*(0 + 0).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}262{"query": "What is one twentieth of a kilogram in milligrams?", "pos": "What is 1/20 of a kilogram in milligrams?", "neg": "What is -19.2 times 0.4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}263{"query": "What is 76/5 of a millimeter in micrometers?", "pos": "What is 67/5 of a centimeter in millimeters?", "neg": "75 divided by 75", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}264{"query": "Let h be (-3)/(-5) - 28/(-20). What is the remainder when 0/(-4) - (h + -17) is divided by 6?", "pos": "Let h be (-32)/(-24)*12/(-2). What is the remainder when 55 is divided by h + 6 - 16*-1?", "neg": "Let r be 7/21*(-36)/(-2). Let z = -6 + r. Solve 3*x = -z*h - 5*h - 11, 19 = -h + 5*x for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}265{"query": "Solve -14*l + 3 = 3 for l.", "pos": "Solve -147 = -4*w - 163 for w.", "neg": "Subtract -13.9 from 3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}266{"query": "What comes next: 438, 874, 1306, 1734, 2158, 2578?", "pos": "What comes next: 354, 1412, 3176, 5646, 8822, 12704?", "neg": "What is 13288 + 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}267{"query": "Three letters picked without replacement from hcafxfj. Give prob of picking 1 a and 2 f.", "pos": "Three letters picked without replacement from {f: 4, u: 6, g: 7, d: 1}. Give prob of picking 1 f and 2 g.", "neg": "(6/30)/(1/3)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}268{"query": "How many weeks are there in 1520.477784ns?", "pos": "How many weeks are there in 1679489.7 days?", "neg": "Calculate 0.4*142.5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}269{"query": "Calculate (84/(-36))/(357/(-18)).", "pos": "Calculate (3/(-6))/(33/(-44)).", "neg": "Calculate the common denominator of 1/(3/(-6)) - 402/(-60) and -71/12.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}270{"query": "Solve -3*w - 4 = -h - 8*w, 4*h = -2*w - 2 for h.", "pos": "Solve -4*w + 16 = 4*l, 8*w - 4*l = 3*w - 25 for w.", "neg": "Suppose -3*i + 12 = -2*i. Let j = i - 8. Suppose -4*c - 4 = -4*h, -j*c - 5 - 1 = -5*h. Calculate the lowest common multiple of 7 and h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}271{"query": "Calculate prob of sequence az when two letters picked without replacement from {a: 2, z: 10}.", "pos": "Calculate prob of sequence zl when two letters picked without replacement from llllllzl.", "neg": "(0/21)/(10/2)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}272{"query": "What is 68995.78 grams in tonnes?", "pos": "How many tonnes are there in 7.535122 micrograms?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}273{"query": "Solve -4*a - 10 = -18 for a.", "pos": "Solve 18 = 2*a + 4*s, -3*a - a - 5*s = -24 for a.", "neg": "Evaluate (-1 - (10 + 4)) + 10.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}274{"query": "How many micrometers are there in 21/4 of a millimeter?", "pos": "What is 21/4 of a microgram in nanograms?", "neg": "What is the smallest common multiple of 4 and 3/4 + 52/16?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}275{"query": "What is 4.486637 decades in millennia?", "pos": "What is 49836.55 decades in millennia?", "neg": "What is 3031455 plus 0.4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}276{"query": "What is the next term in -363, -368, -383, -414, -467, -548, -663?", "pos": "What is the next term in -450, -421, -394, -369, -346, -325, -306?", "neg": "What is 1366 to the power of 1/3, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}277{"query": "What is the tenth root of 6568 to the nearest integer?", "pos": "What is the fourth root of 10619 to the nearest integer?", "neg": "What comes next: 660, 661, 662, 663?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}278{"query": "Calculate prob of picking 2 o and 2 j when four letters picked without replacement from ojeoeoboebjbsjbbybo.", "pos": "Calculate prob of picking 1 j, 1 n, and 2 g when four letters picked without replacement from innvgninjnngvnn.", "neg": "Evaluate (21/28)/(21/14*2).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}279{"query": "0.07*1035", "pos": "1067*0.5", "neg": "What is 7.592209 centimeters in micrometers?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}280{"query": "Let q(w) = w**3 - 7*w**2 - 9*w + 10. Let p be q(8). Suppose -32 = -4*g - 3*a, -2*a - 3 = -p*g - 1. Solve -g + 3 = t for t.", "pos": "Suppose 0*q + 8 = 2*q. Suppose 0 = 5*a - 2 - 8. Let r(j) = -j**2 - 7*j - 6. Let h be r(-5). Solve -h*l - 10 = l, -a*l = -2*c + q for c.", "neg": "Let r be 0/(0 + 2 + -1). Let t(q) = -q**2 + 4*q - 1. Let f be t(3). Suppose m - 8 = -f*i, r*i + i = 0. What is the units digit of m?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}281{"query": "Let s = -116 - -120. What is the least common multiple of 78 and s?", "pos": "Let z = -121 - -143. What is the lowest common multiple of z and 12?", "neg": "What is -312 divided by 78?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}282{"query": "Let y be (1 - -1)/(-1) + -25. What is the common denominator of 117/10 and (y/(-30))/((-9)/(-111))?", "pos": "Let u = 79/5 + -87/5. Suppose -6*c - 128 = -2*c - 2*y, -12 = -3*y. What is the common denominator of u and 6/2 + (-252)/c?", "neg": "((225/5)/(-9))/(-10)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}283{"query": "Solve -2*h = 3*l + l + 18, -3*h = -2*l + 3 for l.", "pos": "Solve -1 = -3*m + 18*h - 22*h, 2*h = 3*m + 23 for m.", "neg": "Suppose -2*l - 48 = -6*l. Let h = 17 - 30. Let g = 119 - h. What is the greatest common divisor of l and g?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}284{"query": "((-2)/4)/(4/6)*-8", "pos": "Calculate -2*2/8*-6.", "neg": "Let s be (-1)/(-1*2/4). Calculate the common denominator of (2/(-88))/((-1)/(-146)) and (1/s)/((-9)/113).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}285{"query": "Convert 9676.077 decades to months.", "pos": "Convert 68.74243 decades to months.", "neg": "Calculate 97 divided by 8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}286{"query": "In base 11, what is -27 + -15a?", "pos": "In base 11, what is -a4 - 2?", "neg": "Solve 12 = -3*a + 9*a for a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}287{"query": "What is next in -15, -28, -45, -66, -91, -120?", "pos": "What comes next: -40, -72, -102, -136, -180, -240?", "neg": "Evaluate (2 + -8 - -2) + -120 + 129.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}288{"query": "How many grams are there in fourty-five eighths of a kilogram?", "pos": "What is 5/8 of a kilogram in grams?", "neg": "-4*80.8", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}289{"query": "How many nanograms are there in twenty-one eighths of a microgram?", "pos": "How many nanograms are there in 3/8 of a microgram?", "neg": "What is (81/135)/(18/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}290{"query": "How many seconds are there in seven thirds of a minute?", "pos": "How many minutes are there in 79/3 of a day?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}291{"query": "What is six fifths of a microgram in nanograms?", "pos": "What is 6/5 of a microgram in nanograms?", "neg": "What is 6*(16/20)/(6/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}292{"query": "How many micrograms are there in 6/25 of a milligram?", "pos": "How many micrometers are there in 6/25 of a millimeter?", "neg": "What is 6*(16/20)/(6/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}293{"query": "Calculate the remainder when 23 is divided by (12/2 + -4)*3.", "pos": "What is the remainder when (-122)/(-2) + (-4 - -5) is divided by 22?", "neg": "Calculate (-3)/(-12) + 1 - 2.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}294{"query": "How many kilograms are there in one quarter of a tonne?", "pos": "How many kilograms are there in 3/25 of a tonne?", "neg": "Let x(k) = k**3 + 16*k**2 + 5*k + 7. What is the hundreds digit of x(-15)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}295{"query": "Calculate prob of picking 1 m, 1 n, and 1 a when three letters picked without replacement from {g: 1, u: 1, a: 1, m: 5, n: 3}.", "pos": "Calculate prob of picking 1 f, 1 l, and 1 n when three letters picked without replacement from {g: 1, i: 1, e: 5, l: 3, n: 2, f: 1}.", "neg": "Calculate 5 - (0 + (3 - 1)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}296{"query": "Convert 0.1204062um to centimeters.", "pos": "Convert 0.4370841cm to micrometers.", "neg": "Calculate 0.1*12.1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}297{"query": "Add together 4 and -171456.", "pos": "Add together -0.08 and 4954.", "neg": "What is next in -8004, -16010, -24016?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}298{"query": "What is 25/2 of a week in hours?", "pos": "What is 7/2 of a week in hours?", "neg": "What is -2 divided by -525?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}299{"query": "What is prob of sequence kisi when four letters picked without replacement from fsfkifefs?", "pos": "What is prob of sequence snns when four letters picked without replacement from suusuossnn?", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}300{"query": "Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {b: 7, v: 4}.", "pos": "Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {v: 3, a: 4, n: 7}.", "neg": "Calculate (-7)/(-2)*2/7.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}301{"query": "Calculate the lowest common multiple of 6 and (1/(-2))/(3/(-114)).", "pos": "Calculate the lowest common multiple of (21*-1 + -1)/(-2) and 6.", "neg": "Calculate (3/(-6))/(33/(-44)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}302{"query": "What is 434 to the power of 1/2, to the nearest integer?", "pos": "What is 42213 to the power of 1/2, to the nearest integer?", "neg": "What comes next: -444, -449, -464, -495, -548?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}303{"query": "What is (-3)/3*1*27/(-3)?", "pos": "What is (3/2)/((-21)/(-28) - -3)?", "neg": "What is the remainder when 29 is divided by 18/27 + (-22)/(-3)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}304{"query": "In base 12, what is 1 - -24?", "pos": "In base 12, what is -1 - -432?", "neg": "Let i = 18 + -12. What is the greatest common factor of 2 and i?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}305{"query": "What is 5043 to the power of 1/2, to the nearest integer?", "pos": "What is 5631 to the power of 1/2, to the nearest integer?", "neg": "What is the next term in 511, 509, 507, 505, 503, 501?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}306{"query": "Let k(q) = -4*q - 8. What is the units digit of k(-14)?", "pos": "Let c = -4 - -7. Let q(r) = r**2 + 4. What is the tens digit of q(c)?", "neg": "In base 8, what is -40 - 32?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}307{"query": "What is (-1)/4*176/(-4)?", "pos": "What is (-265)/477*12/(-40)?", "neg": "What is the common denominator of -1 + 1 + (-1016)/(-384)*4 and 33/8?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}308{"query": "What is the value of 32/16*(-6)/(-22)?", "pos": "What is the value of (-8)/(-18)*(-6)/16?", "neg": "What is the remainder when (-332)/(-20) - (-6)/15 is divided by 6?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}309{"query": "What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, h: 2, a: 2, y: 1, j: 2}?", "pos": "Two letters picked without replacement from {s: 1, h: 2, d: 1, v: 1}. What is prob of picking 1 d and 1 s?", "neg": "Suppose 1 + 1 = 2*t, 2*t = 5*s - 118. What is the greatest common divisor of 16 and s?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}310{"query": "Calculate -1 - (4 - -2) - -3.", "pos": "Calculate 4 + -2 + -1 + (2 - -1).", "neg": "Solve 3*l - 2*n + 4*n = 1, -n = -l + 2 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}311{"query": "What is the fifth root of 22755 to the nearest integer?", "pos": "What is the square root of 23650 to the nearest integer?", "neg": "What is the next term in 549, 1091, 1633, 2175, 2717?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}312{"query": "In base 14, what is 4 + 473?", "pos": "In base 7, what is -5 + -463?", "neg": "What is the next term in 714, 1428, 2142?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}313{"query": "What is the units digit of ((-7)/14)/((-2)/228)?", "pos": "What is the units digit of -64*(0 - (-28)/(-8))?", "neg": "In base 7, what is -22 - 32?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}314{"query": "Suppose 36 = f + 3*f. Let s = -5 + f. Solve -3*p - 4*r = 0, -4 = -0*p - 2*p - s*r for p.", "pos": "Solve -5*f - 36 = 4*d, 5*f - d = 4*d for f.", "neg": "Let u(o) = -o**3 + 6*o**2 - 6*o + 6. Suppose -12 = -0*r - 4*r + 2*f, 0 = -4*f. What is the remainder when r is divided by u(5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}315{"query": "What is the next term in -23, -31, -59, -119, -223?", "pos": "What is the next term in -233, -235, -237, -239, -241?", "neg": "-1 + 0 + 11 + -12 - 2", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}316{"query": "How many centimeters are there in 3/16 of a kilometer?", "pos": "How many centimeters are there in 9/16 of a kilometer?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}317{"query": "Let a be (3/(-8))/(-1) + 1. Let g = -4 - 4. Let o = g + a. Calculate the common denominator of 101/6 and o.", "pos": "Let s be (-1)/(-1*2/4). Calculate the common denominator of (2/(-88))/((-1)/(-146)) and (1/s)/((-9)/113).", "neg": "Evaluate (-341)/(-44) + 1 + 6/(-8).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}318{"query": "In base 2, what is 100010100011 + -101?", "pos": "In base 2, what is -100 + -1001100?", "neg": "Suppose 2*i = i + 10. What is the tens digit of i?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}319{"query": "Let j = 9 - -12. Calculate the remainder when 82 is divided by j.", "pos": "Suppose 8*j - 419 = 397. Calculate the remainder when j is divided by 26.", "neg": "Calculate 97 divided by 8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}320{"query": "Suppose -4 + 40 = 2*t. Calculate the remainder when t is divided by 5.", "pos": "Let w(l) = l**2 - 2*l - 2. Let y be w(4). Suppose -40 = 2*f - y*f. Calculate the remainder when 38 is divided by f.", "neg": "Calculate 5 - (-4 - 140/(-16)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}321{"query": "What comes next: 12, 22, 22, 6, -32, -98, -198, -338?", "pos": "What comes next: -22, 22, 104, 230, 406, 638?", "neg": "In base 12, what is -1 - -432?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}322{"query": "-9259432 + 1", "pos": "-14649+2", "neg": "What comes next: -101, -79, -43, 7, 71?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}323{"query": "Calculate prob of sequence woq when three letters picked without replacement from woqcvkc.", "pos": "Calculate prob of sequence kab when three letters picked without replacement from bbiaaaakabbka.", "neg": "Calculate 3/9 + 1*(0 + 0).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}324{"query": "How many nanometers are there in 785944.6 kilometers?", "pos": "How many millimeters are there in 7063.451km?", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}325{"query": "Solve -77*h + 1000 = -177*h for h.", "pos": "Solve -35*h - 2*h = 74 for h.", "neg": "Suppose -12*h + 2496 = -0*h. What is the hundreds digit of h?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}326{"query": "What is 1.303416 centimeters in nanometers?", "pos": "What is 32127.21mm in nanometers?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}327{"query": "How many hours are there in 620.11656ms?", "pos": "How many hours are there in 84.815874 milliseconds?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}328{"query": "What is the value of (-16)/(-7) - (-24)/(-84)?", "pos": "What is the value of (-8)/(-24) + (-20)/78?", "neg": "Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}329{"query": "What is 7/3 of a week in hours?", "pos": "What is three sevenths of a week in hours?", "neg": "What is 343 divided by -7?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}330{"query": "What is the third root of 47035 to the nearest integer?", "pos": "What is the third root of 5249 to the nearest integer?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}331{"query": "Suppose 0 = 5*n - s - 13, 18 = -3*n + 6*n - 4*s. What is the lowest common multiple of 22 and 7 + (n - 3) - 0?", "pos": "Suppose -2*s = 5*v - 11, 0*v + 3*s - 7 = 2*v. What is the smallest common multiple of 5 and v?", "neg": "Suppose -7*m + 8*m + 42 = 0. Let l = -30 - m. Solve 0 = 4*n - n - l for n.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}332{"query": "How many years are there in 5437.948 millennia?", "pos": "How many millennia are there in 555.8429 years?", "neg": "What is 57335 to the power of 1/2, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}333{"query": "What is the value of (3/(-6))/(12/48)?", "pos": "What is the value of ((-12)/(-3)*1)/8?", "neg": "What is the remainder when 13 is divided by (-26)/(-6) - 2/6?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}334{"query": "Let d be (0 - 1)/((-1)/7). Let t = 2 + -1. Let b be -4 + 2 + d/t. Solve 2*m = b*z + 4, -m + 2*z - 5 = 3*z for m.", "pos": "Let a(z) = -2*z - 14. Let t be a(-7). Solve t*r + 2*r - 4*h + 10 = 0, 5*r - 3*h + 18 = 0 for r.", "neg": "-1 + 2/((-7)/(7/2))", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}335{"query": "What is next in 4, 8, 14, 22, 32, 44, 58?", "pos": "What is the next term in 51, 64, 123, 252, 475, 816?", "neg": "Let x(i) = 4 + 0 + 8*i + 0*i. What is the remainder when 58 is divided by x(2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}336{"query": "9 - -4 - 6 - 7 - 1", "pos": "-4 + 2 - -3 - 5 - -2", "neg": "What comes next: 13, 9, 1, -11?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}337{"query": "Let v be (-21)/1*(-2)/6. Suppose -5*o - 3*y = -117 - 8, 5*y + 165 = 5*o. Calculate the highest common divisor of o and v.", "pos": "Let y be ((-28)/5)/((-3)/90). Calculate the highest common factor of y and 21.", "neg": "Let y = 21 - 19. Solve -y*v + 5*v = 0 for v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}338{"query": "What is five quarters of a day in hours?", "pos": "How many hours are there in fourty-one halves of a day?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}339{"query": "What is the next term in 15, 53, 91, 129, 167?", "pos": "What is the next term in 51, 99, 147, 195, 243?", "neg": "In base 15, what is 5 + -363?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}340{"query": "How many kilograms are there in thirty-two fifths of a tonne?", "pos": "How many kilograms are there in thirty-four fifths of a tonne?", "neg": "What is 21.07919 plus 5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}341{"query": "Four letters picked without replacement from {q: 1, h: 1, u: 1, e: 1, r: 1}. Give prob of picking 2 q, 1 h, and 1 r.", "pos": "Four letters picked without replacement from {u: 6, b: 2, q: 1, k: 4, h: 7}. What is prob of picking 3 h and 1 u?", "neg": "Suppose 26 = -b + 4*j, -2*b + 3*j - 42 = b. Let q(h) = -h**2 - 11*h + 4. What is the units digit of q(b)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}342{"query": "What is the next term in 2890, 2888, 2886, 2884, 2882, 2880?", "pos": "What is the next term in 298, 595, 892, 1189?", "neg": "What is 2896 to the power of 1/8, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}343{"query": "Three letters picked without replacement from mwwddmddmwwuwwwddww. What is prob of sequence wwm?", "pos": "Three letters picked without replacement from mwwswwmswmuummwwmwww. What is prob of sequence usm?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}344{"query": "Convert 8028586.8 milliseconds to hours.", "pos": "Convert 86.607792 microseconds to days.", "neg": "202028 + 0.08", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}345{"query": "Convert 0.5280009 years to decades.", "pos": "Convert 4.029552 years to decades.", "neg": "-23810 divided by 5", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}346{"query": "Solve 0 = -3*q - 4*n + 15, 3*q + 2*n = -3*n + 18 for q.", "pos": "Solve -3*q - 2 - 1 = 0 for q.", "neg": "Suppose 0*i = 3*i - 3*q + 3, 0 = -5*i - q + 19. What is the common denominator of 190/(-24) - (-1)/i and 101/14?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}347{"query": "What is 8416 divided by -2?", "pos": "What is -1062 divided by 2?", "neg": "What is 7218.802 days in seconds?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}348{"query": "Convert 528065.5mm to kilometers.", "pos": "Convert 54.15662 centimeters to kilometers.", "neg": "Divide 4 by 6524.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}349{"query": "Four letters picked without replacement from brrbbb. What is prob of picking 2 b and 2 r?", "pos": "Four letters picked without replacement from bbbsbbbsbbkkkssbbb. What is prob of picking 2 s and 2 b?", "neg": "In base 16, what is 4 + e?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}350{"query": "What comes next: 1072, 1071, 1070?", "pos": "What is the next term in 1097, 2189, 3283, 4379, 5477, 6577?", "neg": "In base 7, what is 1003 + 0?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}351{"query": "Evaluate (-8)/1 - (-7011)/861.", "pos": "Evaluate -1 - (1 - (-1 + -3 + 8)).", "neg": "Let p = 182843/22 + -8316. Calculate the common denominator of 70/32 - (1 + -1) and p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}352{"query": "Solve 3*l = -4*t + 23, 2*l - 27 = -3*l - t for l.", "pos": "Solve 2*o = 3*t + 3 - 14, -4*o = -3*t + 19 for t.", "neg": "Let x = -41 - -20. Let t = x + 27. Calculate the remainder when t is divided by 4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}353{"query": "What is prob of sequence jj when two letters picked without replacement from {r: 9, j: 3}?", "pos": "What is prob of sequence jy when two letters picked without replacement from jjjuuuyyuyy?", "neg": "Suppose -2*n - n = -81. Let s be (-2)/(2/(-1)) + 3. Suppose 17 = s*j - n. What is the units digit of j?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}354{"query": "Find the common denominator of (-7)/(-110) + (-1)/5 and -63/20.", "pos": "Find the common denominator of 1349/(-190) + 4/(-10) and 75/2.", "neg": "Evaluate -1 + 5/3 + 565/(-1017).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}355{"query": "What is the tens digit of -2 - -15 - (-36)/12?", "pos": "What is the tens digit of (2 - (-12)/(-8))/(2/332)?", "neg": "What is the tenth root of 1210 to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}356{"query": "What is prob of picking 1 h and 1 z when two letters picked without replacement from nhngnnznznhgzgnnn?", "pos": "Two letters picked without replacement from oiooziozioi. What is prob of picking 1 o and 1 z?", "neg": "Let h(z) = 2*z + z + 0*z. Let g be h(1). Let n be (g/(-2) - -2)*34. What is the highest common factor of 17 and n?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}357{"query": "How many milligrams are there in 689838.7kg?", "pos": "How many nanograms are there in 6726.04kg?", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}358{"query": "Three letters picked without replacement from okjllaaio. Give prob of sequence okl.", "pos": "Three letters picked without replacement from obiiboibbib. Give prob of sequence ioo.", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}359{"query": "Let g = 11 - 7. Suppose 6 = -y - g. Let p(h) = h + 19. Let m be p(y). What is the greatest common divisor of m and 1?", "pos": "Suppose 0 = 4*j - 3*k - 17 - 5, j - 3*k = 1. Suppose -h - 3*p = h - 22, h + j = 3*p. Calculate the greatest common divisor of 35 and h.", "neg": "Suppose 7*m = 3 + 18. Solve m*y + 3 = g + 2*y, -4*y = 0 for g.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}360{"query": "Let m = 5 + -3. Let v = m + 11. What is the tens digit of v?", "pos": "Suppose -l + 7 + 13 = -3*t, 2*t = 2*l - 20. Let v = 18 - t. What is the tens digit of v?", "neg": "Solve -m + 7 = 3*l - 10, -3*l + 2*m + 11 = 0 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}361{"query": "What is the value of 0 - 5 - ((0 - -6) + -11)?", "pos": "What is the value of 0 + -1 + (-3 - (-5 - -3))?", "neg": "What comes next: 13, 9, 1, -11?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}362{"query": "Suppose 0 = 4*f - 4*w + 260, -2*f - 259 = 2*f - 5*w. Let v be f/(-14) - 12/(-42). Suppose 0*j - v*j = -45. What is the units digit of j?", "pos": "Suppose -b - 3*g = 2*b - 231, -310 = -4*b - 2*g. Suppose -5*k = -10, 5*k + b = 2*u - 0*u. What is the units digit of u?", "neg": "Suppose 4*v - 9 - 3 = 0. Suppose 5*d = -2*x, 3*x - x = -v*d. Suppose -14*k - 5*k = 0. Solve k = j - d*j - 1 for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}363{"query": "In base 5, what is -3 - 102241?", "pos": "In base 5, what is 10 - -13202?", "neg": "What is next in -1, -3, -5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}364{"query": "Let j = 16 + 1. Solve -5*r + 8 = -j for r.", "pos": "Solve 0 = j - 2*r + 16 - 8, 0 = 2*j + 2*r + 4 for j.", "neg": "Evaluate 16*(-5)/10 - (0 + -1).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}365{"query": "Four letters picked without replacement from bbbzbbbbbbbzjb. What is prob of sequence bbzb?", "pos": "Four letters picked without replacement from ppppbbuppbhxpbb. What is prob of sequence hbxp?", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}366{"query": "Calculate 2357*0.", "pos": "Work out 0 * 338.1.", "neg": "Solve -245*y + 249*y = 0 for y.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}367{"query": "Let x = -8 + 11. Suppose u - 3*a = 5, -5*u + 11 = -0*a - a. Suppose c = 4*p - 10, 5*p - 12 = p + u*c. Calculate the remainder when x is divided by p.", "pos": "Suppose -5*w - 8 = -3*w, 5*q - 4*w = 41. Let o be (-9)/(-15)*(-7 + 2). Calculate the remainder when q is divided by (3 - (o + 3)) + 0.", "neg": "Let v(k) = k**3 + k**2 - k - 3. Let d be v(0). Let a be ((-15)/2)/d*4. Let x = a + -8. Solve -3 + 11 = x*p for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}368{"query": "Four letters picked without replacement from {y: 4, k: 6, l: 1, s: 2, v: 2}. What is prob of picking 1 y, 1 l, 1 v, and 1 k?", "pos": "Four letters picked without replacement from {y: 3, t: 4, x: 2, r: 4, k: 1, o: 1}. What is prob of picking 2 y, 1 o, and 1 r?", "neg": "0.146*1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}369{"query": "What is three fifths of a century in years?", "pos": "How many years are there in three fifths of a century?", "neg": "Solve 18*c + 75 = 33*c for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}370{"query": "Three letters picked without replacement from {q: 2, l: 8}. Give prob of picking 1 q and 2 l.", "pos": "Three letters picked without replacement from {d: 8, j: 10, l: 1}. Give prob of picking 1 l and 2 j.", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}371{"query": "Let s = -2 + 6. Suppose j + 36 = s*j. Solve g - 5*g - j = 0 for g.", "pos": "Suppose -6*v + 36 = -3*v. Suppose 0 = z - 5*z + v. Solve 0*g = g + z for g.", "neg": "Let j = 6 + -6. Suppose 3*z + 12 + 6 = j. Let i(g) = g**2 + 5*g - 4. What is the lowest common multiple of 20 and i(z)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}372{"query": "Let w(l) = l**2 - 2*l - 2. Let y be w(4). Suppose -40 = 2*f - y*f. Calculate the remainder when 38 is divided by f.", "pos": "Suppose -4 + 40 = 2*t. Calculate the remainder when t is divided by 5.", "neg": "Calculate -2 divided by 40.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}373{"query": "Let j = -1 - -9. Suppose -12 = -q + j. What is the units digit of q?", "pos": "Suppose p - 19 = -0*p. Let q = p - 11. What is the units digit of q?", "neg": "Let j = 12 - 10. Suppose -5*u + j*u + 9 = 0. Solve -13 = -2*g - u for g.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}374{"query": "What is prob of picking 1 d, 2 t, and 1 p when four letters picked without replacement from tldstpspsmpp?", "pos": "What is prob of picking 1 l, 2 s, and 1 p when four letters picked without replacement from psplssppppppppp?", "neg": "Let t(p) = p**3 - 3*p**2 - 4*p + 2. Let a be t(4). Suppose 2*f = a + 2. Let l = f - -12. What is the units digit of l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}375{"query": "How many hours are there in 3365872.2 microseconds?", "pos": "How many hours are there in 445134.24 microseconds?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}376{"query": "What is 9450 to the power of 1/7, to the nearest integer?", "pos": "What is 939 to the power of 1/9, to the nearest integer?", "neg": "What is 9704.919l in millilitres?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}377{"query": "What is the next term in 11, 4, -9, -28, -53?", "pos": "What is the next term in -53, -51, -49, -47, -45, -43?", "neg": "-1 + 0 + 11 + -12 - 2", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}378{"query": "Let d = 15 - 13. Let x be (-2)/(-4) - (-5)/2. Suppose -d*s + x = -9. What is the highest common divisor of 36 and s?", "pos": "Suppose -2*g - q = -15, -6*g + q + 27 = -2*g. Let s = 1 - -6. Calculate the highest common factor of g and s.", "neg": "Solve 15 = -3*s + 3 for s.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}379{"query": "In base 8, what is 1124 + 1?", "pos": "In base 11, what is 3 + 408?", "neg": "What is next in 64, 117, 216, 367, 576, 849, 1192, 1611?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}380{"query": "Let n(b) = -2*b**3 - 6*b + b - 6 + b**3 - 5*b**2. Calculate the remainder when n(-5) is divided by 10.", "pos": "Let l(g) = -2*g**2 - 6*g. Let x be l(-5). Calculate the remainder when (-8)/(-20) - 752/x is divided by 10.", "neg": "Suppose 0*n - 2*n = 10. Let b = -2 - n. Suppose -b*c = -15, -5*s + 0*s - 3*c = -15. Solve s*g = g for g.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}381{"query": "-1 + 2/((-7)/(7/2))", "pos": "Calculate (-7)/(-2)*2/7.", "neg": "Let u be 5/(5 + -3 + -1). Solve 2 = u*r + 7 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}382{"query": "Convert 7.275682l to millilitres.", "pos": "Convert 672557.7 litres to millilitres.", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}383{"query": "Solve 212 = 56*z + 44 for z.", "pos": "Solve -46 = -8*z - 14 for z.", "neg": "Let o(c) = 2*c**2 - 5*c. Let k be o(4). Let z = k + 12. What is the remainder when 47 is divided by z?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}384{"query": "How many millilitres are there in 67062.81l?", "pos": "How many millilitres are there in 9.081666 litres?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}385{"query": "12 - (-1)/(18/10 + -2)", "pos": "((-2)/(-12))/(4/(96/18))", "neg": "What is the lowest common multiple of 9 and 18/12 + (-31)/(-2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}386{"query": "Suppose 8 = d + 3. Suppose -5*f = 4*h - 3, -5*h = -0*f - d*f - 15. Let u = 3 + h. Solve 3*o + 4*a = -1, u*o + 2*a = 5 - 2 for o.", "pos": "Suppose 0 = 5*u - 2*w, 2*w + 0*w = u + 8. Solve -f - 1 = -4*h + 5*h, -26 = u*h - 4*f for h.", "neg": "Let x = -8 + 11. Suppose u - 3*a = 5, -5*u + 11 = -0*a - a. Suppose c = 4*p - 10, 5*p - 12 = p + u*c. Calculate the remainder when x is divided by p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}387{"query": "5*-483", "pos": "0.5*-479", "neg": "What comes next: -59, -167, -339, -575?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}388{"query": "Solve -3*m + 2*i = 1, -4*m - 44 + 39 = i for m.", "pos": "Solve -1 = -3*m + 18*h - 22*h, 2*h = 3*m + 23 for m.", "neg": "Suppose -3*i + 12 = -2*i. Let j = i - 8. Suppose -4*c - 4 = -4*h, -j*c - 5 - 1 = -5*h. Calculate the lowest common multiple of 7 and h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}389{"query": "Convert 850532.7g to milligrams.", "pos": "Convert 8797.531kg to micrograms.", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}390{"query": "Let a(y) = y**3 - 3*y**2 + 7*y - 10. Let m be a(2). Let k(p) = -p**3 + 2*p**2 + p + 1. Let r be k(2). Solve m = r*d + 16 - 1 for d.", "pos": "Let a(y) = -y**3 + 5*y**2 - 5*y + 5. Let f be a(4). Suppose l - b + f = 10, 4*l - 32 = 3*b. Solve -2*d - 4*o - 4 = 0, -3*o = l*d - 1 - 10 for d.", "neg": "Let y(m) = m**2 - m + 1. Let i be y(2). Suppose -9 = 2*n + 3*j, -i*n + 3*j = -4 - 5. Suppose -d + 4 = b, -2 = 4*d - 5*b - n. What is the units digit of d?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}391{"query": "What is 601 less than -92.9?", "pos": "What is -100.1 less than -5?", "neg": "Let x = 59 + -51. What is the lowest common multiple of x and 22?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}392{"query": "Calculate -0.2*0.57.", "pos": "Calculate -5*-0.0049.", "neg": "Solve -35*h - 2*h = 74 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}393{"query": "Let a be (15 - 17)/((-4)/186). Let z = a - 54. What is the remainder when z is divided by 2/(-7) - (-200)/14?", "pos": "Suppose -5*z + 25 = -4*z. What is the remainder when z is divided by 14 - (-2 + (5 - 2))?", "neg": "Solve 4*z - a + 14 = -9, a + 22 = -5*z for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}394{"query": "Calculate 39/26*(-3)/(-15)*-1.", "pos": "Calculate (-1*3)/(45/(-10)).", "neg": "Calculate the remainder when 47 is divided by (36/(-15))/(1/(-5)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}395{"query": "Suppose -23 = -2*r + r. What is the units digit of r?", "pos": "Let r(n) = n**3 + 23*n**2 - 3*n - 49. What is the units digit of r(-23)?", "neg": "Solve 23 - 3 = -2*u + 2*r, 4*u - 5 = -5*r for u.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}396{"query": "What is the third root of 144446 to the nearest integer?", "pos": "What is the cube root of 14948 to the nearest integer?", "neg": "What is the next term in 4203, 8406, 12609?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}397{"query": "How many months are there in 27/5 of a century?", "pos": "How many months are there in 6/5 of a century?", "neg": "Let y(w) = w**3 - 2*w**2 - w + 9. Calculate the remainder when y(5) is divided by 27.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}398{"query": "Suppose 1020 - 19 = 7*w. What is the units digit of w?", "pos": "Suppose 277 = 4*x + 5*w, -x - 3*w + 70 = -8. What is the units digit of x?", "neg": "Solve 7 = 4*a + 19 for a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}399{"query": "How many millilitres are there in thirteen quarters of a litre?", "pos": "What is thirteen quarters of a litre in millilitres?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}400{"query": "Let x be (3 - 1)/(6/9). Suppose o = 2, -h - 13 = -5*o - 5. Solve -x*l = 2*r - 14, -2*r - h*l = -3*r for r.", "pos": "Let r be 7/21*(-36)/(-2). Let z = -6 + r. Solve 3*x = -z*h - 5*h - 11, 19 = -h + 5*x for h.", "neg": "Suppose -3*x = -2*y, -y - 3*x = -6*x. Let c = 2 - y. Suppose -c*u = 5*t - 1 + 9, 0 = 4*u + 3*t + 2. What is the remainder when 2 is divided by u?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}401{"query": "How many months are there in eleven quarters of a millennium?", "pos": "How many years are there in eleven quarters of a millennium?", "neg": "What is the next term in 117, 116, 115?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}402{"query": "Solve 4*z - a + 14 = -9, a + 22 = -5*z for z.", "pos": "Solve -46 = -8*z - 14 for z.", "neg": "Suppose -5*z + 25 = -4*z. What is the remainder when z is divided by 14 - (-2 + (5 - 2))?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}403{"query": "How many milligrams are there in 5/4 of a gram?", "pos": "What is 55/4 of a gram in milligrams?", "neg": "What is 0.4 plus 0.455?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}404{"query": "Three letters picked without replacement from nnzluzzmlnmlmmzmmzlb. What is prob of picking 2 l and 1 z?", "pos": "Three letters picked without replacement from zxxzxzlzxxzxfzzxx. Give prob of picking 1 l and 2 x.", "neg": "Solve 2*z + 2*x + 12 = 0, -x + 6 = -3*z + 2*x for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}405{"query": "Convert 7399.215t to nanograms.", "pos": "Convert 955845.6 nanograms to tonnes.", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}406{"query": "Let a = 18 - 18. Solve -4 = -u, 2*v + 2 = 3*u - a for v.", "pos": "Solve 18 = 2*a + 4*s, -3*a - a - 5*s = -24 for a.", "neg": "Suppose 2*s - 2*z = 18, -4 = -2*s - z - 1. Suppose -v + 9 + 6 = -s*o, 17 = 3*v + 2*o. What is the units digit of v?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}407{"query": "What is prob of picking 1 u and 1 i when two letters picked without replacement from affiuxaiaf?", "pos": "What is prob of picking 1 u and 3 f when four letters picked without replacement from wfffsmfwu?", "neg": "Let u = -968/171 + -1/171. What is the common denominator of u and -32/39?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}408{"query": "Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17.", "pos": "Calculate the remainder when 65 is divided by ((-24)/14)/(22/(-231)).", "neg": "Calculate 51 divided by -17.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}409{"query": "Solve -d + 2*s + 14 = d, 4*d + 8 = -5*s for d.", "pos": "Suppose -4*d + d = d. Solve z - 4*g - 15 = d, -2*g = 3*z - 0*g + 11 for z.", "neg": "Suppose 2 = -s + 13. Calculate the remainder when s is divided by 4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}410{"query": "What is the fifth root of 507 to the nearest integer?", "pos": "What is the square root of 577 to the nearest integer?", "neg": "What is the next term in 511, 509, 507, 505, 503, 501?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}411{"query": "How many millilitres are there in twenty-six fifths of a litre?", "pos": "How many millilitres are there in twenty-one fifths of a litre?", "neg": "What is 6*(16/20)/(6/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}412{"query": "What is 4284.825mm in kilometers?", "pos": "What is 42358.66 kilometers in micrometers?", "neg": "What is 56508 divided by 4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}413{"query": "Let i = 18 + -12. What is the greatest common factor of 2 and i?", "pos": "Let n be -2 + 0 + 14/(-2). Let q = 18 + n. What is the greatest common factor of q and 81?", "neg": "In base 13, what is 2 - -18?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}414{"query": "How many micrometers are there in 6/5 of a centimeter?", "pos": "What is 6/5 of a milligram in micrograms?", "neg": "What is 6*(16/20)/(6/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}415{"query": "Solve 2*v + 5 - 13 = 0 for v.", "pos": "Solve 5*w - v = 6 - 14, 5*w - 4*v + 32 = 0 for w.", "neg": "Suppose -2*s = 5*v - 11, 0*v + 3*s - 7 = 2*v. What is the smallest common multiple of 5 and v?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}416{"query": "Three letters picked without replacement from cffcfcffffcffcffcfc. What is prob of sequence ccf?", "pos": "Three letters picked without replacement from lqqrlqqlqrqpqpppq. What is prob of sequence lrp?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}417{"query": "Solve -16*p + 19 = k - 21*p, 2*p + 8 = 0 for k.", "pos": "Solve 2*k + 14 = 2*j, -7*k - 4*j + 24 = -9*k for k.", "neg": "Suppose b + 3*k - 19 = 0, -4*b - 6*k = -4*k - 56. Calculate the remainder when 24 is divided by b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}418{"query": "Calculate -1 + -6 + 13 + -3.", "pos": "Calculate (-1 - ((-6 - 1) + 3)) + -5.", "neg": "What comes next: 13, 9, 1, -11?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}419{"query": "Let x(p) = -p**3 - 4*p**2 - 3*p - 1. Suppose 12 = -3*u + 3*q, 5*u - 5*q = 2*u - 14. Let v be x(u). Let j = v + 5. Solve -j*g + 20 = -0*g for g.", "pos": "Suppose -a - 4*i + i - 13 = 0, 2*i + 10 = 0. Suppose a = -5*g + l, 4*l - 10 = -2. Suppose 2 = 5*j - 2*q, -j - 2*q + 13 - 3 = g. Solve -j*k = 3*k + 5 for k.", "neg": "Suppose 5*j - 3*g = g + 7, -2*g - 8 = -4*j. Suppose -x + 10 + 32 = -4*p, j*x - 156 = -3*p. What is the highest common divisor of x and 20?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}420{"query": "What is 935353.7mm in nanometers?", "pos": "What is 0.9436712m in nanometers?", "neg": "0.07*1035", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}421{"query": "Let u = -3 - -5. Suppose 3*p - 8 = -s, 6 = -2*p + 3*s + u*s. Solve p*v + 2 = -0 for v.", "pos": "Let p be -2*(-4 - (-5)/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3/(-2))/(6/(-32)). Solve 0*v + n = -b*v for v.", "neg": "Let z(p) = 5*p**2 - p. Suppose 28 = 2*r + 3*v, -2*r + 4*v - 28 = -4*r. Let s be (-1)/(-4) - r/(-8). What is the smallest common multiple of 4 and z(s)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}422{"query": "How many millennia are there in 24.651681 months?", "pos": "How many millennia are there in 243937.17 months?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}423{"query": "Solve 4*b + 18 + 7 = -5*n, 0 = -4*b for n.", "pos": "Suppose 2*h - 2*n - 4 = -6, -3*n = -2*h - 5. Solve -5*b - 8 = -h*i, 3*b - 6*i + i = -20 for b.", "neg": "Let b(n) = -n - 3. Let s be b(-5). Suppose k - 4 = -s*p - 3*p, -3*k + 2*p + 12 = 0. What is the greatest common factor of 44 and k?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}424{"query": "Let t(c) = -97*c + 9. What is the hundreds digit of t(-2)?", "pos": "Suppose -12*h + 2496 = -0*h. What is the hundreds digit of h?", "neg": "In base 2, what is -100 + -1001100?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}425{"query": "Let u(j) = j**2 - 6*j + 15. What is the remainder when u(6) is divided by 8?", "pos": "What is the remainder when (-332)/(-20) - (-6)/15 is divided by 6?", "neg": "150 divided by -8", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}426{"query": "Evaluate 16*(-5)/10 - (0 + -1).", "pos": "Evaluate 0 - 1 - (-10 - (1 + -5)).", "neg": "Let j = 16 + 1. Solve -5*r + 8 = -j for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}427{"query": "What comes next: -40, -72, -102, -136, -180, -240?", "pos": "What comes next: -18, -32, -60, -108, -182, -288, -432, -620?", "neg": "What is the least common multiple of 40 and 2 - (-52)/(-28) - 209/(-7)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}428{"query": "(1 - (-10 - -13)) + 0 + -8", "pos": "-10 + (21 - -8) + -15", "neg": "What is the common denominator of -1 + 1 + (-1016)/(-384)*4 and 33/8?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}429{"query": "Three letters picked without replacement from csmqmzctcmqzct. What is prob of picking 1 c, 1 m, and 1 q?", "pos": "Three letters picked without replacement from ccvvvvvbbvvvvvvbcv. What is prob of picking 2 b and 1 c?", "neg": "Solve 5*c + 3*c - 3*c = 0 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}430{"query": "What is 5/8 of a millennium in months?", "pos": "What is 8/25 of a millennium in months?", "neg": "What is 8 divided by -5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}431{"query": "What is 0.927 take away -298.7?", "pos": "What is -19.4 minus -2.636?", "neg": "Solve -304*l + 293*l = 99 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}432{"query": "Let c(t) = -1 - t - 2 + 1. Let i be c(0). Let o(w) = 5*w**2 + w + 1. Let m be o(i). Calculate the highest common factor of m and 38.", "pos": "Suppose -w = 0, -1 = -m + w + 17. Calculate the highest common factor of m and 45.", "neg": "Solve 1 = q + 5*s, -39*s = -3*q - 37*s + 3 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}433{"query": "Let p = -10 + 85. What is the greatest common divisor of p and 3?", "pos": "Let f(c) = 53*c + 6. Let p be f(3). What is the highest common divisor of p and 15?", "neg": "Let c = 10 - 8. Solve p + c*p = 0 for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}434{"query": "What is seven halves of a day in minutes?", "pos": "What is 710.4317 minutes in seconds?", "neg": "What is 7/2*24/28?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}435{"query": "Two letters picked without replacement from {t: 1, r: 14}. What is prob of sequence rt?", "pos": "Two letters picked without replacement from {j: 1, v: 2, o: 2, k: 2, s: 1}. What is prob of sequence os?", "neg": "0.146*1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}436{"query": "What is prob of sequence yyy when three letters picked without replacement from eyeeeyyyeeeyyy?", "pos": "What is prob of picking 3 y when three letters picked without replacement from yzzyzyy?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}437{"query": "Convert 56.3788 seconds to microseconds.", "pos": "Convert 8.702384 nanoseconds to microseconds.", "neg": "Divide 4 by 6524.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}438{"query": "Suppose 0 = 7*y - 5*y - 16. What is the smallest common multiple of y and 4?", "pos": "Let y(c) = -c**3 + 6*c**2 + 4*c - 4. Suppose 2*n - 16 + 4 = 0. Calculate the smallest common multiple of y(n) and 4.", "neg": "Solve 2*y + 4*v - 7 = 5*y, 0 = 5*y + 4*v + 1 for y.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}439{"query": "What is three sevenths of a week in hours?", "pos": "What is 7/3 of a week in hours?", "neg": "Calculate 72 divided by 3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}440{"query": "Suppose 70 = -0*j + 5*j. What is the least common multiple of 18 and j?", "pos": "Let w = 31 + -21. Let j = w - 0. What is the lowest common multiple of 7 and j?", "neg": "Solve 64*j + 70 = 50*j for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}441{"query": "10/(-60) + 14/(-24)", "pos": "58/(-30) + 15/25", "neg": "Find the common denominator of (-9)/(-24) + (-30)/(-24) and 5/4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}442{"query": "Calculate the least common multiple of 21 and (-3 - 7/(-2))*10.", "pos": "Calculate the lowest common multiple of (21*-1 + -1)/(-2) and 6.", "neg": "21 times -2.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}443{"query": "How many kilograms are there in 287.403 micrograms?", "pos": "How many milligrams are there in 26.76943 kilograms?", "neg": "What is 1462 times 0.02?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}444{"query": "What is -5 + -1 + 6 + -3?", "pos": "What is -1 + -2 + 5 + 2 + -3?", "neg": "What is next in -1, -3, -5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}445{"query": "What is eleven eighths of a kilometer in meters?", "pos": "How many meters are there in 11/10 of a kilometer?", "neg": "In base 8, what is 1124 + 1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}446{"query": "Suppose a - f + 0*f + 5 = 0, 5*f = -4*a + 25. Solve a*r + 2*r = 0 for r.", "pos": "Suppose -a + 5*a - 8 = 0. Let x be -5*a/(-5)*1. Solve 5 + 1 = 2*s - 4*z, 4*s - x*z - 18 = 0 for s.", "neg": "Suppose 2*k + 3*l + 2 - 1 = 0, 3*k - 2*l - 5 = 0. Let f be (4/k)/((-1)/(-2)). Suppose 3*r + 5 = f. What is the lowest common multiple of r and 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}447{"query": "What is the next term in -72, -77, -82, -87, -92, -97?", "pos": "What comes next: -27, -49, -73, -99?", "neg": "Let n = -63 + 79. What is the remainder when 25 is divided by n?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}448{"query": "Let z = 7 + 1. Let b = -6 + z. Suppose 0 = m + b*m - 21. What is the units digit of m?", "pos": "Let u(q) = -q + 6. Let w be u(7). Let z(v) = v + 7. Let p be z(-5). What is the units digit of w + 17 + (-1 - p)?", "neg": "In base 7, what is -1 + 1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}449{"query": "What is the seventh root of 3738 to the nearest integer?", "pos": "What is the seventh root of 3535 to the nearest integer?", "neg": "What is the tens digit of 7/(35/405) + -1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}450{"query": "Multiply -0.096 and -6.", "pos": "Divide -6 by 2.", "neg": "Calculate the lowest common multiple of 6 and (1/(-2))/(3/(-114)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}451{"query": "Calculate -5*-0.0049.", "pos": "Calculate -0.2*0.57.", "neg": "Convert 0.522377ml to litres.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}452{"query": "Convert 364.4771 millilitres to litres.", "pos": "Convert 381.3197l to millilitres.", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}453{"query": "Two letters picked without replacement from {d: 1, s: 1, g: 2, y: 1, w: 2}. Give prob of sequence sd.", "pos": "Two letters picked without replacement from {n: 2, p: 1, s: 1, c: 2, d: 1, u: 1}. Give prob of sequence sc.", "neg": "Suppose 1 + 1 = 2*t, 2*t = 5*s - 118. What is the greatest common divisor of 16 and s?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}454{"query": "Calculate the common denominator of (2 - 10)/((-48)/136) and -22/9.", "pos": "Calculate the common denominator of 22/9 + (-4)/(-8) + -1 and -95/14.", "neg": "Calculate ((-4)/10)/(22/(-110)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}455{"query": "What is next in 85, 84, 83, 82?", "pos": "What is next in -841, -842, -843, -844, -845?", "neg": "How many decades are there in 85.98764 centuries?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}456{"query": "Two letters picked without replacement from eevppbtvtfebve. What is prob of sequence bp?", "pos": "Two letters picked without replacement from ppmipmgmqmgpzmm. What is prob of sequence qi?", "neg": "What comes next: 97, 95, 93, 91, 89, 87?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}457{"query": "What is 40138.7l in millilitres?", "pos": "How many millilitres are there in 49.51404l?", "neg": "What is 2 times 401?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}458{"query": "Calculate prob of picking 1 g and 3 e when four letters picked without replacement from {g: 2, e: 6}.", "pos": "Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 6, b: 4, n: 1}.", "neg": "Evaluate (2/28)/(6/24).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}459{"query": "Suppose 7 = 2*p - 1. Suppose -57 = -5*q + p*d + 3, 2*q - 24 = -3*d. What is the units digit of q?", "pos": "Let u(q) = -q + 6. Let w be u(7). Let z(v) = v + 7. Let p be z(-5). What is the units digit of w + 17 + (-1 - p)?", "neg": "Suppose b + 3*k + k = 7, 5*k - 20 = -5*b. Suppose 2*l + 4 = 0, -l - 16 - 1 = -5*d. Solve -b*q - 14 = d*o - 2, 4*q = 5*o + 20 for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}460{"query": "Calculate the common denominator of -2 + (-249)/(-6) - -4 and 15/7.", "pos": "Calculate the common denominator of 22/9 + (-4)/(-8) + -1 and -95/14.", "neg": "Evaluate (-7)/6 + 2 + 9/(-27).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}461{"query": "What is prob of picking 2 g and 1 x when three letters picked without replacement from eyexyxxexgxgyxggxgy?", "pos": "What is prob of picking 1 y and 2 g when three letters picked without replacement from nypgpgxgxydddgx?", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}462{"query": "Suppose -2*j + 22 = 3*r + 2, 5*r - 8 = 3*j. Solve p = -3*c - 16, 0 = 4*p - r*c - 0*c for p.", "pos": "Solve 2*j - 2 = 8*c - 10*c, -4*c + 2 = 5*j for j.", "neg": "Suppose -5*j + 318 + 17 = 0. Let p be j*3/(-6)*-2. Suppose -p = 2*c - 227. What is the highest common factor of 16 and c?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}463{"query": "Solve g + 16 = 12*l - 16*l, 5*g = 20 for l.", "pos": "Solve -2*g = -5*h - 20, 3*h - g + 12 = 4*g for h.", "neg": "Let j = 6 + -6. Suppose 3*z + 12 + 6 = j. Let i(g) = g**2 + 5*g - 4. What is the lowest common multiple of 20 and i(z)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}464{"query": "Solve -182 - 434 = -77*k for k.", "pos": "Solve -189 = -7*k - 133 for k.", "neg": "Let b = 250 + -174. Suppose -3*k = -2 - b. Calculate the remainder when k is divided by 14.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}465{"query": "Suppose -2*g + 3*w = 0, 4*w + 0*w = -4*g + 20. Let a(p) = 2*p + 1. Let m be a(g). Let b be (-764)/(-36) - 4/18. What is the highest common divisor of b and m?", "pos": "Suppose 5*j - 3*g = g + 7, -2*g - 8 = -4*j. Suppose -x + 10 + 32 = -4*p, j*x - 156 = -3*p. What is the highest common divisor of x and 20?", "neg": "Suppose 3*p + 3*c - 24 = 0, -4*p - 10 + 42 = -3*c. Solve 4*a + o + p - 20 = 0, 3*o + 12 = 0 for a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}466{"query": "Calculate prob of sequence lttj when four letters picked without replacement from {j: 1, h: 5, e: 5, k: 1, t: 2, l: 1}.", "pos": "Calculate prob of sequence yyya when four letters picked without replacement from {a: 5, y: 5}.", "neg": "Calculate 5 - (0 + (3 - 1)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}467{"query": "Four letters picked without replacement from {y: 6, b: 1, u: 4}. What is prob of picking 2 y and 2 u?", "pos": "Four letters picked without replacement from {o: 1, u: 3, v: 2, e: 1}. What is prob of picking 1 o and 3 u?", "neg": "Suppose 0*b - 4*b - 4 = 0. Let l be (1/(-2))/(b/36). What is the greatest common factor of 6 and l?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}468{"query": "Calculate prob of sequence qucu when four letters picked without replacement from jquqccjujqqqcuq.", "pos": "Calculate prob of sequence wzzg when four letters picked without replacement from zgwgpgz.", "neg": "Work out 4 * 4.45.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}469{"query": "Convert 0.0407275ml to litres.", "pos": "Convert 0.522377ml to litres.", "neg": "Calculate 0.4*142.5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}470{"query": "Suppose 0 = 5*u - 2*w, 2*w + 0*w = u + 8. Solve -f - 1 = -4*h + 5*h, -26 = u*h - 4*f for h.", "pos": "Suppose 8 = d + 3. Suppose -5*f = 4*h - 3, -5*h = -0*f - d*f - 15. Let u = 3 + h. Solve 3*o + 4*a = -1, u*o + 2*a = 5 - 2 for o.", "neg": "Suppose 2*h + 3*z = 3*h, 0 = -h + 5*z. Calculate the remainder when (h - 4)*(-21)/6 is divided by 8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}471{"query": "Two letters picked without replacement from iffikfdkiiifikkfk. Give prob of picking 1 k and 1 f.", "pos": "Two letters picked without replacement from swspvjjjvskvwpww. Give prob of picking 1 k and 1 p.", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}472{"query": "Evaluate (4/(-18))/((-15)/135).", "pos": "Evaluate (1130/226)/(5/(-4)).", "neg": "Calculate the remainder when 65 is divided by ((-24)/14)/(22/(-231)).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}473{"query": "How many months are there in 7/2 of a millennium?", "pos": "How many months are there in seven eighths of a millennium?", "neg": "What is 7/2*24/28?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}474{"query": "Three letters picked without replacement from lqqrlqqlqrqpqpppq. What is prob of sequence lrp?", "pos": "Three letters picked without replacement from pbpebbeppppppebdpb. What is prob of sequence bdp?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}475{"query": "Suppose -44 = -2*q + 2*o - 0*o, 38 = 2*q - 4*o. Suppose -m + 37 = 2*h, -q = -4*m - m. Solve -6*f = -2*f - h for f.", "pos": "Suppose -2*m - 2*h + 36 = 12, -2*m + 42 = -4*h. Suppose -2*u = 5*x - 40 - 2, -u = x - m. Solve 14 = 4*d + 2*s, -s = 2*d - 6*d + u for d.", "neg": "Suppose 4*c = 5*f + 25, -3*f + 39 = 3*c - 0*f. Suppose 3*a - 2*q - 2 = 0, -2*a + q + 7 = a. Calculate the remainder when c is divided by a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}476{"query": "Suppose 2*w - 3*h + 5 = 2*h, -h = 4*w - 1. Suppose w = 3*j - 9, -z + 17 = 5*j + 2. Suppose -3*n + 62 - 23 = z. What is the greatest common divisor of n and 117?", "pos": "Suppose 0 = 4*j - 3*k - 17 - 5, j - 3*k = 1. Suppose -h - 3*p = h - 22, h + j = 3*p. Calculate the greatest common divisor of 35 and h.", "neg": "Let g be (-3)/15 - (-1)/5. Suppose g*c - 10 = -2*c. Suppose 0 = 3*b - 17 + 5. Solve z = c*z, 0 = -b*w - 4*z for w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}477{"query": "Let l = 10 + 12. Suppose -2*h + 4*s - 8 = 2*h, 3*h + 4*s = l. Solve 0 = -h*r - r + 15 for r.", "pos": "Solve -11*r + 10*r - 12 = 2*z, 0 = 4*z + 20 for r.", "neg": "Suppose -x + 10 = 4*x. Suppose 0 = -2*h + 7 + 13. Calculate the least common multiple of x/10 - 413/(-35) and h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}478{"query": "Evaluate (-1)/4 - (-6 - (-188)/32).", "pos": "Evaluate (-341)/(-44) + 1 + 6/(-8).", "neg": "Let l be ((-26)/(-6))/(1/(-36)). Find the common denominator of 3 + (-2 - l/(-40)) and 1/4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}479{"query": "How many meters are there in 13/4 of a kilometer?", "pos": "What is 13/4 of a kilometer in meters?", "neg": "What is 0.416 take away 0.13?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}480{"query": "Four letters picked without replacement from {s: 9, b: 9}. Give prob of sequence bsss.", "pos": "Four letters picked without replacement from {u: 9, a: 3}. Give prob of sequence aauu.", "neg": "9 - -4 - 6 - 7 - 1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}481{"query": "Let s = 5 + -2. Let j(a) = 2*a - 1. Let g be j(s). Let i be (-1 + 0)/((-1)/g). Solve -41 = 5*d - 4*o, -i*d - 33 = -o - 4 for d.", "pos": "Suppose 0 = -5*d + 17 + 3. Let i(m) = m - 4. Let k be i(d). Suppose 5*w - 3*j = 14, 5*j - 2 = 2*w - k*w. Solve -w = -2*l + l for l.", "neg": "Suppose -s + 5 = 3*r - 22, 5*r + 2*s = 46. Let h = -2 + 5. Suppose 2*u - h*u - 3*j - 1 = 0, 2*j + 10 = 0. Calculate the remainder when u is divided by r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}482{"query": "Four letters picked without replacement from llglllllnnlnle. Give prob of sequence lnlg.", "pos": "Four letters picked without replacement from ufdatpt. Give prob of sequence tdut.", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}483{"query": "Let v(j) = j**3 + 7*j**2 + 3*j - 2. What is the remainder when v(-5) is divided by 18?", "pos": "Suppose 91*v - 74 = 90*v. What is the remainder when v is divided by 15?", "neg": "What is the value of ((-18)/117*-13)/5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}484{"query": "Suppose 0*b - 4*b - 4 = 0. Let l be (1/(-2))/(b/36). What is the greatest common factor of 6 and l?", "pos": "Suppose 3*b + 0 = -2*p + 17, -4*b - 3*p + 22 = 0. What is the highest common factor of 56 and b?", "neg": "Suppose -c + 4*v + 2 = -24, -4*c - 3*v + 9 = 0. Solve 2*b - c = -b for b.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}485{"query": "What is the difference between -0.026764 and 0.1?", "pos": "What is -116938 minus -0.2?", "neg": "What is next in -8004, -16010, -24016?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}486{"query": "How many seconds are there in fifteen quarters of a minute?", "pos": "How many milliseconds are there in fifteen quarters of a second?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}487{"query": "What is next in 115, 190, 265?", "pos": "What is next in 152, 165, 182, 203?", "neg": "2+-253", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}488{"query": "Calculate 12810 - -2.", "pos": "Calculate 2*-142.", "neg": "Solve 2*o + 0 = -w - 10, 0 = w - o + 1 for w.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}489{"query": "2 - 107725", "pos": "Work out 225007 - 2.", "neg": "What is 2870.1 litres in millilitres?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}490{"query": "How many millilitres are there in 25/8 of a litre?", "pos": "What is 25/2 of a litre in millilitres?", "neg": "What is 2679 to the power of 1/8, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}491{"query": "What is 9/16 of a centimeter in micrometers?", "pos": "What is 9/16 of a minute in milliseconds?", "neg": "What is 1699 to the power of 1/6, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}492{"query": "What is 51/2 of a millisecond in microseconds?", "pos": "What is fifty-nine fifths of a microsecond in nanoseconds?", "neg": "What is 57335 to the power of 1/2, to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}493{"query": "Suppose 2*x - 10 = -2. Let t(f) = -f**3 + 5*f**2 - 2*f - 6. Let m be t(x). Solve u - 5 = m*u, b + 4*u = -24 for b.", "pos": "Solve 2*x - t = -10, -3*x + 5*x = 5*t - 26 for x.", "neg": "Let n(b) = -2*b**3 - 6*b + b - 6 + b**3 - 5*b**2. Calculate the remainder when n(-5) is divided by 10.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}494{"query": "Suppose 49 = 4*i - 3*i. Suppose b + 3*q = 20, 0 = -0*b + 4*b + 4*q - 40. Suppose d + o = 11, -5*o = b*d - d - i. Solve 0 = -w + 1, -w + d = c + w for c.", "pos": "Suppose b + 3*k + k = 7, 5*k - 20 = -5*b. Suppose 2*l + 4 = 0, -l - 16 - 1 = -5*d. Solve -b*q - 14 = d*o - 2, 4*q = 5*o + 20 for q.", "neg": "Suppose 4*c = 5*f + 25, -3*f + 39 = 3*c - 0*f. Suppose 3*a - 2*q - 2 = 0, -2*a + q + 7 = a. Calculate the remainder when c is divided by a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}495{"query": "Suppose -a - 4 + 3 = 0. Let y be (-6 - (a + 1))*1. Let d be (-8)/y + 2/3. Solve 3 = w - d for w.", "pos": "Let u be -3*(-6)/(-4)*2. Let w(d) = -d**2 - 9*d + 2. Let f be w(u). Solve 3*x - f*y = -0*y + 6, y = x - 1 for x.", "neg": "Let a be (3/(-8))/(-1) + 1. Let g = -4 - 4. Let o = g + a. Calculate the common denominator of 101/6 and o.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}496{"query": "Suppose -13 + 20 = s. What is the units digit of s?", "pos": "Let f = -4 + 15. What is the units digit of f - (-3 - (-3)/3)?", "neg": "In base 13, what is -13 + 2?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}497{"query": "What is twenty-one quarters of a hour in seconds?", "pos": "What is twenty-one fifths of a hour in seconds?", "neg": "What is 2514 divided by -1257?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}498{"query": "What is prob of sequence cw when two letters picked without replacement from rcrwwwrrsrsrrs?", "pos": "What is prob of sequence gw when two letters picked without replacement from rrrrwggrwprg?", "neg": "What comes next: 97, 95, 93, 91, 89, 87?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}499{"query": "Solve 38 = 49*i - 60 for i.", "pos": "Solve 4*i - 28 = 18*i for i.", "neg": "Suppose 4*i - 38 = -b, -3*b + 19 = 2*i - 65. Calculate the remainder when b is divided by 7.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}500{"query": "How many nanometers are there in 0.4231474um?", "pos": "How many nanograms are there in 0.4781357ug?", "neg": "Calculate 0.4*142.5.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}501{"query": "How many weeks are there in 301471.45 days?", "pos": "How many weeks are there in 1679489.7 days?", "neg": "What is 21.07919 plus 5?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}502{"query": "Four letters picked without replacement from {w: 1, m: 1, d: 1, b: 5, v: 6}. What is prob of sequence dvbv?", "pos": "Two letters picked without replacement from {v: 4, o: 1, d: 1, j: 2, m: 3, k: 4}. What is prob of sequence vj?", "neg": "Let w(d) be the first derivative of d**4/4 + d**3/3 - 9. Let o be (1 + 1)*3/6. What is the units digit of w(o)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}503{"query": "Suppose -3*z = -8*z. Suppose z*v = v - 1. Let i be 0/2 + (v - -1). Solve y + y = t, 0 = -2*t + 3*y - i for t.", "pos": "Let h(p) = p + 1. Let y(d) = -2*d - 3. Suppose -3*x + 1 - 4 = 0. Let z(c) = x*y(c) - 3*h(c). Let g be z(0). Solve 0 = 2*s - g + 8 for s.", "neg": "Suppose 2*h + 3*z = 3*h, 0 = -h + 5*z. Calculate the remainder when (h - 4)*(-21)/6 is divided by 8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}504{"query": "What is the value of (-2*4/(-72))/(1/(-2))?", "pos": "What is the value of (-16)/(-7) - (-24)/(-84)?", "neg": "Calculate the common denominator of -2 + (-249)/(-6) - -4 and 15/7.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}505{"query": "Suppose 5*d + 2*m - 50 = 0, d + 4*m - 8 - 2 = 0. Let w(x) = -x**2 + 11*x - 9. Let r be w(d). Calculate the remainder when 17 is divided by (-33)/(-3) - 2/r.", "pos": "Let q(m) = m**2 - 9*m + 2. Let g be q(9). Suppose -g*s + 4*s = 0. Let y(u) = -u**2 - u + 17. What is the remainder when 50 is divided by y(s)?", "neg": "Let l = 5 + -9. Let x = 7 + l. Solve -x*d - 4*w - 17 = 0, 15 = -3*d - 3*w - 0*w for d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}506{"query": "What is 2/21 of a week in seconds?", "pos": "What is 3/32 of a week in seconds?", "neg": "Calculate 22 divided by -1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}507{"query": "What is 30201.12 minutes in nanoseconds?", "pos": "What is 33613.06 minutes in seconds?", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}508{"query": "Solve -4*f + 3*t + 2 = 0, 0*t = 4*f + 2*t - 12 for f.", "pos": "Solve 0 = 4*f - 0*t - 4*t - 4, -4*f + t = -13 for f.", "neg": "Suppose 2*t + 5*u - 3 = -2*t, 0 = -t - 5*u + 12. Let d = t - -4. What is the greatest common factor of 3 and d?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}509{"query": "Convert 5272.542 nanograms to grams.", "pos": "Convert 5396.8g to nanograms.", "neg": "Calculate -5*-0.0049.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}510{"query": "What is the value of 738/82 + (-83)/9?", "pos": "What is the value of (-8)/(-24) + (-20)/78?", "neg": "Let z = -2631/28 + 768/7. Let y = -4435/712 + -13/89. What is the common denominator of z and y?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}511{"query": "What comes next: 35, 146, 331, 590, 923, 1330?", "pos": "What comes next: 223, 452, 681, 910, 1139?", "neg": "What is 13288 + 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}512{"query": "What is -66 divided by 2?", "pos": "What is -2 divided by -669?", "neg": "What is the remainder when 13 is divided by (-26)/(-6) - 2/6?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}513{"query": "What is 2.050352 tonnes in milligrams?", "pos": "How many milligrams are there in 2851.22 tonnes?", "neg": "2683+2", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}514{"query": "Calculate 22 divided by -1.", "pos": "Calculate -162 divided by -1.", "neg": "Calculate the remainder when 23 is divided by (12/2 + -4)*3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}515{"query": "How many millilitres are there in three eighths of a litre?", "pos": "What is 3/8 of a litre in millilitres?", "neg": "0.03 times 8.58", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}516{"query": "Let g = 3 - -12. What is the tens digit of g/9*18/1?", "pos": "What is the tens digit of -2 - -15 - (-36)/12?", "neg": "Solve 12 = -3*a + 9*a for a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}517{"query": "-387 divided by 29", "pos": "Calculate -87 divided by 29.", "neg": "What is the remainder when 29 is divided by 18/27 + (-22)/(-3)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}518{"query": "Suppose 56 = 113*r - 109*r. Let z = 22 - 10. Calculate the smallest common multiple of z and r.", "pos": "Suppose -3*z + 133 = 4*n - 10, 5*n = 25. Let l = -21 + z. Let r = l + -11. Calculate the least common multiple of 7 and r.", "neg": "Solve -11*r + 10*r - 12 = 2*z, 0 = 4*z + 20 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}519{"query": "Calculate prob of picking 1 x and 1 d when two letters picked without replacement from mxjmxmdm.", "pos": "Calculate prob of picking 2 u when two letters picked without replacement from xuumumsxs.", "neg": "Calculate 0.1*12.1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}520{"query": "Solve 0 = 5*f - 3*b - 10, 4*f + 2*b - 11 = 5*b for f.", "pos": "Solve 0 = 3*f - 2*x - 11, 0 = 2*x - 7*x - 5 for f.", "neg": "Suppose 0 = 5*a + 3*q - 104, 0 = 5*a - 0*q - 3*q - 116. Suppose 0 = -b - 3*b + 5*n + 88, b - 3*n - a = 0. Suppose b = -0*f + 2*f. What is the tens digit of f?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}521{"query": "Suppose 0*m - m - 3 = 0. Let i = m - -7. Solve -v = -0*v + i for v.", "pos": "Solve -m + 7 = 3*l - 10, -3*l + 2*m + 11 = 0 for l.", "neg": "Let v be (0 - 0 - -2) + -7. Let s(b) = -b**3 - 6*b**2 - 6*b + 7. What is the remainder when 35 is divided by s(v)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}522{"query": "Let z(i) = -i**3 + 6*i + 2. Let h be z(-3). Let v = h - 3. Solve 0 = 4*k - 2*k - v for k.", "pos": "Suppose -k - 3 + 26 = 0. Suppose k = 2*o - 17. Solve v = 6*v - o for v.", "neg": "Suppose -2*v + 3*l - 12 = 0, -3*l = -0*v + 2*v - 12. Suppose v = i + i - 42. Calculate the remainder when i is divided by 6.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}523{"query": "Two letters picked without replacement from njjzjqqjajatajz. Give prob of picking 1 t and 1 a.", "pos": "Two letters picked without replacement from ttnii. What is prob of picking 1 n and 1 t?", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}524{"query": "Let p(c) = 3*c - 13. Suppose -23 = -3*s + b, -2*s + 4*s - 2*b = 14. Calculate the smallest common multiple of p(s) and 5.", "pos": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "neg": "Let u = -3 - -5. Suppose 3*p - 8 = -s, 6 = -2*p + 3*s + u*s. Solve p*v + 2 = -0 for v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}525{"query": "Let k = -2 + 39. Calculate the remainder when k is divided by 20.", "pos": "Let b = 42 - 19. Calculate the remainder when 112 is divided by b.", "neg": "Solve 20*k + 26 = -14 for k.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}526{"query": "What is prob of picking 3 u and 1 c when four letters picked without replacement from {n: 2, c: 4, t: 3, u: 3, x: 7}?", "pos": "What is prob of picking 1 c and 3 u when four letters picked without replacement from acauaacuucucuu?", "neg": "Solve 9 + 7 = 4*c for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}527{"query": "In base 11, what is -5 + 745?", "pos": "In base 7, what is -1055 + 1?", "neg": "What is the tens digit of 7/(35/405) + -1?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}528{"query": "Evaluate (1/(-12))/((-18)/(-27)).", "pos": "Evaluate ((-8)/(-12))/1*-3.", "neg": "Find the common denominator of ((-27)/(-21))/((-18)/12) and -67/8.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}529{"query": "Three letters picked without replacement from wcmwwmwwcmccw. What is prob of picking 3 w?", "pos": "Three letters picked without replacement from zzamiiwmwimmwamam. What is prob of picking 3 w?", "neg": "Suppose -3*w + 30 = 2*i, 4*i - 7*i = 0. Solve 2*o + 7*a + w = 4*a, -5*o - 14 = 2*a for o.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}530{"query": "Let r = 4 - 8. Let f be (-2 - 1 - r)/1. Solve 0 = -u + 1 + f for u.", "pos": "Solve -4*z + 4*f - 8 = f, 0 = z - 4*f + 2 for z.", "neg": "Suppose 2*k + 3*l + 2 - 1 = 0, 3*k - 2*l - 5 = 0. Let f be (4/k)/((-1)/(-2)). Suppose 3*r + 5 = f. What is the lowest common multiple of r and 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}531{"query": "In base 3, what is -10 + -2002122?", "pos": "In base 3, what is 10010 + -201?", "neg": "What is the next term in -1034, -1033, -1032?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}532{"query": "Suppose 22 = 2*a + 4*o, 7*a + o = 2*a + 10. What is the least common multiple of a and 10/35 - 122/(-14)?", "pos": "Calculate the least common multiple of 21 and (-3 - 7/(-2))*10.", "neg": "Solve -m + 7 = 3*l - 10, -3*l + 2*m + 11 = 0 for l.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}533{"query": "What is prob of sequence ggl when three letters picked without replacement from glllllllgllllllllg?", "pos": "What is prob of sequence ggg when three letters picked without replacement from ccccggcgcgccccgcgcc?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}534{"query": "Calculate prob of picking 2 l and 1 g when three letters picked without replacement from ldblbrgurgbrlu.", "pos": "Calculate prob of picking 1 l and 2 p when three letters picked without replacement from pllppppppllppplpppp.", "neg": "Calculate (-3*2/3)/2.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}535{"query": "Calculate prob of picking 1 w, 1 i, and 2 m when four letters picked without replacement from omwwsmmsowswwiwwibss.", "pos": "Calculate prob of picking 2 w, 1 x, and 1 f when four letters picked without replacement from xzwwbzwgfzgwwwz.", "neg": "0.5 times 0.43", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}536{"query": "Two letters picked without replacement from {g: 8, d: 2, v: 8}. What is prob of picking 1 g and 1 v?", "pos": "Two letters picked without replacement from {u: 2, x: 8}. Give prob of picking 1 x and 1 u.", "neg": "0.8*0.1", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}537{"query": "What is the next term in -2229, -2227, -2225, -2223, -2221, -2219?", "pos": "What is the next term in 22, 63, 136, 247, 402, 607, 868, 1191?", "neg": "2683+2", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}538{"query": "What is the value of -90 + 81 + (8 - -2)?", "pos": "What is the value of -8 + 2 - (-3 - -4)?", "neg": "What comes next: -950, -952, -954, -956, -958?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}539{"query": "Suppose 3*f + 0*j - 15 = 5*j, 5*f + j + 3 = 0. Suppose -s + 15 = -5*l + 2*l, 4*l + 16 = f. Solve s + 2 = 5*w for w.", "pos": "Let g be (-3)/15 - (-1)/5. Suppose g*c - 10 = -2*c. Suppose 0 = 3*b - 17 + 5. Solve z = c*z, 0 = -b*w - 4*z for w.", "neg": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}540{"query": "Solve 9*a - 6*a + 9 = 0, 3*d + 3*a = -6 for d.", "pos": "Solve -3*d + 0*d = -3 for d.", "neg": "Suppose -6*d + 2*d - 2*f = 0, -2*d - 2*f = 4. Suppose -5*n = -2*g - 0*g - 74, -3*g + 25 = n. Calculate the smallest common multiple of n and d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}541{"query": "Solve 18*c + 75 = 33*c for c.", "pos": "Solve 5*c = 3*z - 31, 0*c + c + 7 = z for c.", "neg": "Suppose -25 = -3*c + 29. What is the highest common factor of 18 and c?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}542{"query": "Solve 2*o + 0 = -w - 10, 0 = w - o + 1 for w.", "pos": "Solve -4*w - 3*d - 14 = 0, 0*w - 3*w - 10 = 2*d for w.", "neg": "Suppose 2*i = i + 10. What is the tens digit of i?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}543{"query": "Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jhbbhhhjbdb.", "pos": "Calculate prob of picking 1 j and 1 i when two letters picked without replacement from joojioooojjoioj.", "neg": "Calculate 12/30*1/2.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}544{"query": "What is (-2)/3*69/253?", "pos": "What is -2 divided by -669?", "neg": "What is 69/2 of a litre in millilitres?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}545{"query": "Let g = -63 - -192. What is the tens digit of g?", "pos": "Let d = -24 - -38. What is the tens digit of d?", "neg": "What is next in -72, -84, -102, -126, -156, -192?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}546{"query": "What is 60343.12mm in meters?", "pos": "What is 6949.914 kilometers in meters?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}547{"query": "Suppose -2*a = -0*a - 10. What is the remainder when 12 is divided by a?", "pos": "Suppose -10*f + 12*f = 124. Calculate the remainder when f is divided by 22.", "neg": "Solve 2*a = -a + 12 for a.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}548{"query": "What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 4, y: 14}?", "pos": "What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 4, u: 5, b: 2, e: 2}?", "neg": "Evaluate (21/28)/(21/14*2).", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}549{"query": "Solve 5*w + 3 = -2 for w.", "pos": "Solve -3*v + 0*v = -2*w - 2, -4*w = -5*v + 6 for w.", "neg": "Evaluate 2 + 21/5*-1 - -2.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}550{"query": "Calculate prob of sequence bc when two letters picked without replacement from {b: 4, c: 3}.", "pos": "Calculate prob of sequence bnbq when four letters picked without replacement from {c: 3, u: 1, q: 1, d: 2, b: 5, n: 1}.", "neg": "In base 14, what is -4 + 3c4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}551{"query": "Let q(j) be the first derivative of j**3/3 + j - 1. Let n be q(-2). Calculate the highest common divisor of 5 and n.", "pos": "Let j(h) be the second derivative of -h**3 - 3*h. Let d be j(-3). Let i(z) = z**2 + 4*z + 1. Let u be i(-5). Calculate the highest common factor of u and d.", "neg": "Let f(p) = 5*p**3 - p**2 + p - 1. Let b be f(1). Suppose -2*u + 2*y = 3*u - 10, -b*u - 3*y - 15 = 0. Solve u = 4*j - 3*j for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}552{"query": "What is the product of -4 and -42?", "pos": "What is the product of 91 and -4?", "neg": "Let x = -41 - -20. Let t = x + 27. Calculate the remainder when t is divided by 4.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}553{"query": "Calculate prob of picking 1 w, 1 q, 1 x, and 1 k when four letters picked without replacement from tknwkwwkxwtqkkk.", "pos": "Calculate prob of picking 1 q, 2 k, and 1 p when four letters picked without replacement from quuqdgpkk.", "neg": "Calculate 0.1*4.7.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}554{"query": "Evaluate (3 - 2) + -3 + -2.", "pos": "Evaluate 3 + (0 - 4 - (-3 - 2)).", "neg": "Solve -3*d + 0*d = -3 for d.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}555{"query": "What is -5 + -3 + -2 + 7 + 4?", "pos": "What is -5 + -1 + 6 + -3?", "neg": "What is next in -135, -241, -333, -405, -451, -465?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}556{"query": "What is the units digit of (-33)/(-7) - 2/(-7)?", "pos": "What is the units digit of ((-7)/14)/((-2)/228)?", "neg": "In base 7, what is -22 - 32?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}557{"query": "What comes next: 73, 97, 129, 163, 193, 213?", "pos": "What comes next: 59, 84, 121, 170, 231?", "neg": "What is 13288 + 3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}558{"query": "What is thirty-seven fifths of a millennium in years?", "pos": "How many years are there in thirty-three fifths of a century?", "neg": "What is the seventh root of 3535 to the nearest integer?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}559{"query": "What is the product of 34 and -0.44?", "pos": "What is the product of -4 and -42?", "neg": "Solve 0 = -34*s + 26*s for s.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}560{"query": "Suppose 60*x + 70 = 65*x. Calculate the highest common factor of x and 21.", "pos": "Let w = 6 + -11. Let r = 60 - w. Calculate the highest common factor of 13 and r.", "neg": "Suppose 5*x - 7 = -22. Let p = 11 + x. Let b be p/2 - 1/1. Solve 0 = -m + b*m - 6 for m.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}561{"query": "Suppose 0 = t - 3*j + j - 8, -4 = t - 5*j. What is the highest common divisor of t and 16?", "pos": "Let r(s) = s + 6. Let i be r(4). Suppose x = -8 + i. What is the highest common divisor of x and 4?", "neg": "Solve 0 = j - 2*r + 16 - 8, 0 = 2*j + 2*r + 4 for j.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}562{"query": "Convert 6.07838 meters to millimeters.", "pos": "Convert 6931.502 grams to micrograms.", "neg": "What is 1276 times 0.3?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}563{"query": "Solve 6 = 7*w - 9*w for w.", "pos": "Let k be 3/(-2)*(-72)/27. Solve k*w - 6 = w for w.", "neg": "Let g = 6 - 6. Let b = 3 + g. Suppose -w - b = -21. What is the tens digit of w?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}564{"query": "Suppose 0 = -o - 4*o - 4*z + 85, -4*o + 5*z = -27. Let b = o + 15. Calculate the remainder when b is divided by 2 - 3 - 33/(-3).", "pos": "Suppose -5*w - 8 = -3*w, 5*q - 4*w = 41. Let o be (-9)/(-15)*(-7 + 2). Calculate the remainder when q is divided by (3 - (o + 3)) + 0.", "neg": "Let u(z) = -3*z - z**2 + 4 - 3 - 5*z + 5. Let i be u(-8). Solve -5*h - i - 4 = 0 for h.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}565{"query": "Calculate (14/(-10))/(120/(-200)).", "pos": "Calculate ((-4)/10)/(22/(-110)).", "neg": "Calculate the common denominator of (2 - 10)/((-48)/136) and -22/9.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}566{"query": "In base 14, what is -158 + 4?", "pos": "In base 13, what is -172 - 4?", "neg": "What is the next term in -145, -146, -147, -148?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}567{"query": "What is prob of picking 3 o and 1 p when four letters picked without replacement from pooooopppppoo?", "pos": "What is prob of picking 3 p and 1 b when four letters picked without replacement from ppbbbpp?", "neg": "Solve 47*p - 20*p - 108 = 0 for p.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}568{"query": "What is twenty-one fifths of a hour in seconds?", "pos": "What is twenty-one quarters of a hour in seconds?", "neg": "What is 2514 divided by -1257?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}569{"query": "Let z be (-2 + 1)*2 + 35. Let n = z - 19. Calculate the lowest common multiple of 38 and n.", "pos": "Let h(z) = 2*z + z + 0*z. Let g be h(1). Let n be (g/(-2) - -2)*34. What is the highest common factor of 17 and n?", "neg": "Let d = 1 - -2. Let w be ((-10)/8)/(d/(-36)). Solve -w = 3*z + 2*z for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}570{"query": "Let c = -127 + 141. What is the remainder when c is divided by 8?", "pos": "Let c = 66 + -39. What is the remainder when 79 is divided by c?", "neg": "Solve -27*c + 116 = -46 for c.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}571{"query": "Suppose 0*m - 59 = -g - 3*m, g - 62 = -4*m. What is the tens digit of g?", "pos": "Suppose -4*m = -3*g + 204, m + 136 = 2*g - m. What is the tens digit of g?", "neg": "Suppose -g - 57 = -63. Solve f - 10 = g*f for f.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}572{"query": "What is 7218.802 days in seconds?", "pos": "What is 97394.31 days in milliseconds?", "neg": "What is 6072 divided by 12?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}573{"query": "Four letters picked without replacement from vjxsxjsjj. What is prob of sequence jxvx?", "pos": "Four letters picked without replacement from zqiiyiiizyzqyyissnsy. What is prob of sequence nszs?", "neg": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}574{"query": "How many grams are there in 5.630736 nanograms?", "pos": "What is 5.346329 nanograms in grams?", "neg": "Total of 5 and 0.10827.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}575{"query": "Three letters picked without replacement from {f: 4, u: 6, g: 7, d: 1}. Give prob of picking 1 f and 2 g.", "pos": "Three letters picked without replacement from hcafxfj. Give prob of picking 1 a and 2 f.", "neg": "Solve 2*q - 1 = 6*q + 3*f, 7 = -2*q + 5*f for q.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}576{"query": "How many tonnes are there in 2430.25 milligrams?", "pos": "How many tonnes are there in 7.535122 micrograms?", "neg": "2 - 107725", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}577{"query": "How many millilitres are there in 1/20 of a litre?", "pos": "What is 1/20 of a litre in millilitres?", "neg": "What is 6*(16/20)/(6/5)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}578{"query": "Calculate (-1 - ((-6 - 1) + 3)) + -5.", "pos": "Calculate (-2 - 1 - (-3 - 3)) + -6.", "neg": "Let u be 5/(5 + -3 + -1). Solve 2 = u*r + 7 for r.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}579{"query": "What is prob of picking 3 y when three letters picked without replacement from yzzyzyy?", "pos": "What is prob of picking 3 m when three letters picked without replacement from ymyymtmyyymvymmvyymm?", "neg": "(6/30)/(1/3)", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}580{"query": "How many decades are there in 148722.75 months?", "pos": "How many decades are there in 11357.523 months?", "neg": "What is the tens digit of 4/((-40)/(-75))*(-44)/(-2)?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}581{"query": "Calculate prob of sequence hsh when three letters picked without replacement from {s: 3, h: 2}.", "pos": "Calculate prob of sequence hh when two letters picked without replacement from {i: 1, h: 2}.", "neg": "Calculate (-3*2/3)/2.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}582{"query": "What is the value of 2 - (-1 - -7) - -8?", "pos": "What is the value of -2 - (-2 + (-5 - (-7 - -2)))?", "neg": "What is the next term in 26, 22, 16, 8, -2, -14, -28?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}583{"query": "How many centimeters are there in one fifth of a meter?", "pos": "How many centimeters are there in eighteen fifths of a meter?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}584{"query": "Work out -0.3 - -433.", "pos": "Subtract -13.9 from 3.", "neg": "Solve -33 = -11*s - 0 for s.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}585{"query": "Calculate prob of sequence dty when three letters picked without replacement from {t: 1, g: 4, d: 3, u: 1, y: 1, f: 4}.", "pos": "Calculate prob of sequence dpim when four letters picked without replacement from {m: 3, p: 1, d: 1, a: 1, c: 2, i: 4}.", "neg": "Calculate -1 - (4 - -2) - -3.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}586{"query": "What is next in -378, -724, -1068, -1410, -1750, -2088, -2424?", "pos": "What is next in -28, -98, -214, -376, -584, -838, -1138?", "neg": "What is ((-3198)/228 - -14)*4?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}587{"query": "Solve -10 = -9*g - 46 for g.", "pos": "Solve -11*g = 2*g + 52 for g.", "neg": "Suppose 0*m - 59 = -g - 3*m, g - 62 = -4*m. What is the tens digit of g?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}588{"query": "Suppose -29 - 14 = -5*o - f, 51 = 5*o - 3*f. What is the remainder when o is divided by 6?", "pos": "Let u(o) = -o**3 + 6*o**2 - 6*o + 6. Suppose -12 = -0*r - 4*r + 2*f, 0 = -4*f. What is the remainder when r is divided by u(5)?", "neg": "Suppose -k - 3 + 26 = 0. Suppose k = 2*o - 17. Solve v = 6*v - o for v.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}589{"query": "What is prob of sequence rrr when three letters picked without replacement from bbbrbbbbbwrrwrrrrr?", "pos": "What is prob of sequence teb when three letters picked without replacement from rtbertebrbbddrdte?", "neg": "What is the next term in 3370, 3369, 3368, 3367, 3366?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}590{"query": "How many centuries are there in 42.20265 months?", "pos": "How many centuries are there in 492614.7 months?", "neg": "What is 2 times 401?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}591{"query": "Suppose -3*h = -p + 5, -3*p + 2*h = h - 15. Let s(g) = -g**3 + 5*g**2 + g - 3. Let r be s(p). Suppose r*z - 12 = 8. What is the tens digit of z?", "pos": "Let f(j) = -j**2 - 5*j. Let o be f(-3). Suppose -b = -o*b, 4*x = b + 12. Suppose v = 4*v - x, v = y - 9. What is the tens digit of y?", "neg": "Let q = -3 + 3. Suppose -2*p + 8 = 4*o - q*p, -5*o = -4*p - 10. Solve 2*z + o*s - 5 = -3, -4*z + 3 = 3*s for z.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}592{"query": "Calculate prob of sequence ppy when three letters picked without replacement from {y: 2, p: 2}.", "pos": "Calculate prob of sequence ikk when three letters picked without replacement from {i: 2, g: 1, b: 1, k: 2}.", "neg": "Solve 0 = y + 2*y + 2*y for y.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}593{"query": "Four letters picked without replacement from wmxpwwpwwxgwxrmgwxpw. What is prob of picking 1 r, 2 g, and 1 p?", "pos": "Four letters picked without replacement from brrbbb. What is prob of picking 2 b and 2 r?", "neg": "Suppose 5*p + r + 65 = 472, 3*p - 5*r = 233. Let s(q) = -4*q - 3. Let g be s(-3). What is the greatest common factor of p and g?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}594{"query": "What is prob of sequence ges when three letters picked without replacement from deguqqes?", "pos": "What is prob of sequence teb when three letters picked without replacement from rtbertebrbbddrdte?", "neg": "What comes next: 386, 384, 382?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}595{"query": "What comes next: -444, -449, -464, -495, -548?", "pos": "What comes next: -475, -475, -473, -469?", "neg": "-4 + 2 - -3 - 5 - -2", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}596{"query": "What is 1/5 of a kilogram in grams?", "pos": "What is one fifth of a kilogram in grams?", "neg": "5 * 45", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}597{"query": "What is (-3)/(-12) - (4 + (-76)/16)?", "pos": "What is the value of ((-12)/(-16))/((-4)/(-96)*6)?", "neg": "What is the common denominator of -1 + 1 + (-1016)/(-384)*4 and 33/8?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}598{"query": "Suppose 5*f - 15 = 2*f. Solve v = f*v for v.", "pos": "Solve x + 5*f = 15, -4*f = 7*x - 3*x - 12 for x.", "neg": "Suppose 91*v - 74 = 90*v. What is the remainder when v is divided by 15?", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}599{"query": "Convert 5685.116 weeks to seconds.", "pos": "Convert 0.0206712 weeks to microseconds.", "neg": "Divide -5056 by 1.", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}600{"query": "Solve y = 8*y - y for y.", "pos": "Solve -8*y = -7*y + 5*y for y.", "neg": "8 * -0.65", "instruction": "You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category."}601