text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "What is the first derivative of -2*f**3 + 9995*f**2 + 2*f - 64128 wrt f?", "answer": "-6*f**2 + 19990*f + 2"} | What is the first derivative of -2*f**3 + 9995*f**2 + 2*f - 64128 wrt f? | -6*f**2 + 19990*f + 2 |
{"question": "Let z be (9 + -6)*(-3)/9*-5. Solve 4*k - 5*r - 30 - 6 = 0, z*k + r - 16 = 0 for k.", "answer": "4"} | Let z be (9 + -6)*(-3)/9*-5. Solve 4*k - 5*r - 30 - 6 = 0, z*k + r - 16 = 0 for k. | 4 |
{"question": "Let y(z) be the first derivative of -12*z**2 + 11*z - 69. Let s(g) = -5*g + 2. Give 11*s(k) - 2*y(k).", "answer": "-7*k"} | Let y(z) be the first derivative of -12*z**2 + 11*z - 69. Let s(g) = -5*g + 2. Give 11*s(k) - 2*y(k). | -7*k |
{"question": "How many kilograms are there in 21/5 of a tonne?", "answer": "4200"} | How many kilograms are there in 21/5 of a tonne? | 4200 |
{"question": "Let n = -134.66 - -134.36. Let r(v) = -9*v. Let g be r(1). What is the second biggest value in n, g, -2/9, 1/8?", "answer": "-2/9"} | Let n = -134.66 - -134.36. Let r(v) = -9*v. Let g be r(1). What is the second biggest value in n, g, -2/9, 1/8? | -2/9 |
{"question": "Let z(t) = t**3 + 15*t**2 - 11*t + 1. Give z(4).", "answer": "261"} | Let z(t) = t**3 + 15*t**2 - 11*t + 1. Give z(4). | 261 |
{"question": "Let g = -6105 - -6125. Solve g = 2*q + 3*w, -8 + 20 = q + 2*w for q.", "answer": "4"} | Let g = -6105 - -6125. Solve g = 2*q + 3*w, -8 + 20 = q + 2*w for q. | 4 |
{"question": "In base 13, what is 9874 + 3?", "answer": "9877"} | In base 13, what is 9874 + 3? | 9877 |
{"question": "Find the common denominator of -47/7156 and -93/8.", "answer": "14312"} | Find the common denominator of -47/7156 and -93/8. | 14312 |
{"question": "What is the d'th term of -5890, -5887, -5884, -5881, -5878?", "answer": "3*d - 5893"} | What is the d'th term of -5890, -5887, -5884, -5881, -5878? | 3*d - 5893 |
{"question": "Let b = -0.36 - -14.36. Let a = 19 - b. Let q = -7 - -4. Sort q, 0.3, a in descending order.", "answer": "a, 0.3, q"} | Let b = -0.36 - -14.36. Let a = 19 - b. Let q = -7 - -4. Sort q, 0.3, a in descending order. | a, 0.3, q |
{"question": "What is next in -47924, -48262, -48824, -49610, -50620, -51854?", "answer": "-53312"} | What is next in -47924, -48262, -48824, -49610, -50620, -51854? | -53312 |
{"question": "Find the second derivative of -54*a**3*m**3 + 5*a**3*m**2 - 10*a*m**3 + 5*a*m wrt a.", "answer": "-324*a*m**3 + 30*a*m**2"} | Find the second derivative of -54*a**3*m**3 + 5*a**3*m**2 - 10*a*m**3 + 5*a*m wrt a. | -324*a*m**3 + 30*a*m**2 |
{"question": "Evaluate 2 + 2 - (36 + -37).", "answer": "5"} | Evaluate 2 + 2 - (36 + -37). | 5 |
{"question": "How many minutes are there between 2:48 AM and 8:32 AM?", "answer": "344"} | How many minutes are there between 2:48 AM and 8:32 AM? | 344 |
{"question": "Calculate ((26562/(-1520))/(-233))/((-1)/15).", "answer": "-9/8"} | Calculate ((26562/(-1520))/(-233))/((-1)/15). | -9/8 |
{"question": "What is (48/96)/((-3)/(-10))?", "answer": "5/3"} | What is (48/96)/((-3)/(-10))? | 5/3 |
{"question": "Let s be (-10)/(-12)*18/(-20). Let y = 0.41 - 3.41. Which is the biggest value? (a) s (b) -2 (c) y", "answer": "a"} | Let s be (-10)/(-12)*18/(-20). Let y = 0.41 - 3.41. Which is the biggest value? (a) s (b) -2 (c) y | a |
{"question": "What is 7 + -11 + -3 + (10 + -3 - 23)?", "answer": "-23"} | What is 7 + -11 + -3 + (10 + -3 - 23)? | -23 |
{"question": "Put -3, -4, -677035, -5 in decreasing order.", "answer": "-3, -4, -5, -677035"} | Put -3, -4, -677035, -5 in decreasing order. | -3, -4, -5, -677035 |
{"question": "Let n be (-4 - (-51)/15) + (-1722)/(-420). Is -65 at most n?", "answer": "True"} | Let n be (-4 - (-51)/15) + (-1722)/(-420). Is -65 at most n? | True |
{"question": "Solve -7*t + 5*t + 10 = 0 for t.", "answer": "5"} | Solve -7*t + 5*t + 10 = 0 for t. | 5 |
{"question": "Which is greater: 11 or 0.01?", "answer": "11"} | Which is greater: 11 or 0.01? | 11 |
{"question": "Does 326 divide 36811442?", "answer": "False"} | Does 326 divide 36811442? | False |
{"question": "In base 11, what is -107991 - -565?", "answer": "-107427"} | In base 11, what is -107991 - -565? | -107427 |
{"question": "What is 14.751 less than -319?", "answer": "-333.751"} | What is 14.751 less than -319? | -333.751 |
{"question": "Collect the terms in -120*r**2 + 44*r**2 + 25*r**2 + 47*r**2.", "answer": "-4*r**2"} | Collect the terms in -120*r**2 + 44*r**2 + 25*r**2 + 47*r**2. | -4*r**2 |
{"question": "Product of -45375 and -143.", "answer": "6488625"} | Product of -45375 and -143. | 6488625 |
{"question": "Determine b so that b**2 - 15*b**3 - b**4 + 15*b**3 = 0.", "answer": "-1, 0, 1"} | Determine b so that b**2 - 15*b**3 - b**4 + 15*b**3 = 0. | -1, 0, 1 |
{"question": "Suppose z + 284 = 87. Let x = z + 474. Let r = x - 162. Is r composite?", "answer": "True"} | Suppose z + 284 = 87. Let x = z + 474. Let r = x - 162. Is r composite? | True |
{"question": "Suppose 4*o = -4*b - 28, 5*b + 2*o + 2*o = -32. Put b, 0, -3 in ascending order.", "answer": "b, -3, 0"} | Suppose 4*o = -4*b - 28, 5*b + 2*o + 2*o = -32. Put b, 0, -3 in ascending order. | b, -3, 0 |
{"question": "Let n(h) = -36*h - 22. Suppose 3*l - 2*l = -4*a + 77, -2*l - 2*a = -160. Calculate the remainder when l is divided by n(-1).", "answer": "11"} | Let n(h) = -36*h - 22. Suppose 3*l - 2*l = -4*a + 77, -2*l - 2*a = -160. Calculate the remainder when l is divided by n(-1). | 11 |
{"question": "3020123 (base 4) to base 10", "answer": "12827"} | 3020123 (base 4) to base 10 | 12827 |
{"question": "What is (-3)/42*(-3)/((-9)/12)?", "answer": "-2/7"} | What is (-3)/42*(-3)/((-9)/12)? | -2/7 |
{"question": "Calculate the greatest common divisor of 75 and 7725.", "answer": "75"} | Calculate the greatest common divisor of 75 and 7725. | 75 |
{"question": "Solve -218 = -3*m + 3*v - 200, -4*m = -2*v - 16 for m.", "answer": "2"} | Solve -218 = -3*m + 3*v - 200, -4*m = -2*v - 16 for m. | 2 |
{"question": "Let f(p) = 2*p. Let a(k) = -25694*k**2 - 1. Give f(a(j)).", "answer": "-51388*j**2 - 2"} | Let f(p) = 2*p. Let a(k) = -25694*k**2 - 1. Give f(a(j)). | -51388*j**2 - 2 |
{"question": "Is 92 a factor of 7370856?", "answer": "True"} | Is 92 a factor of 7370856? | True |
{"question": "Determine o, given that -2*o**3/5 - 5644734*o**2/5 - 11289462*o/5 - 1128946 = 0.", "answer": "-2822365, -1"} | Determine o, given that -2*o**3/5 - 5644734*o**2/5 - 11289462*o/5 - 1128946 = 0. | -2822365, -1 |
{"question": "Suppose 0 = 5*h - 3*q - 65, h + 5 = q - 4*q. Which is the smallest value? (a) -5 (b) h (c) -0.5 (d) -1", "answer": "a"} | Suppose 0 = 5*h - 3*q - 65, h + 5 = q - 4*q. Which is the smallest value? (a) -5 (b) h (c) -0.5 (d) -1 | a |
{"question": "Let z = -19 + 49. Calculate the remainder when 58 is divided by z.", "answer": "28"} | Let z = -19 + 49. Calculate the remainder when 58 is divided by z. | 28 |
{"question": "What is 188/(-22) - ((-189)/84)/((-5)/(-20))?", "answer": "5/11"} | What is 188/(-22) - ((-189)/84)/((-5)/(-20))? | 5/11 |
{"question": "Divide 2532579 by -4359.", "answer": "-581"} | Divide 2532579 by -4359. | -581 |
{"question": "Suppose -o + 5 = 1. Suppose 9 = o*p - 5*f, 2*f + 5 = -3*f. Let j(a) = -2*a**2 + 2*a - 5. Let d(r) = r**2 - r + 1. What is p*j(u) + 3*d(u)?", "answer": "u**2 - u - 2"} | Suppose -o + 5 = 1. Suppose 9 = o*p - 5*f, 2*f + 5 = -3*f. Let j(a) = -2*a**2 + 2*a - 5. Let d(r) = r**2 - r + 1. What is p*j(u) + 3*d(u)? | u**2 - u - 2 |
{"question": "Sort -9, 1012, -4 in increasing order.", "answer": "-9, -4, 1012"} | Sort -9, 1012, -4 in increasing order. | -9, -4, 1012 |
{"question": "Factor -3*v**2 + 63648*v.", "answer": "-3*v*(v - 21216)"} | Factor -3*v**2 + 63648*v. | -3*v*(v - 21216) |
{"question": "Round -0.01086087 to four decimal places.", "answer": "-0.0109"} | Round -0.01086087 to four decimal places. | -0.0109 |
{"question": "Simplify (i**(-2)/(i*i**(-2)*i))**42*((i/(i*i**(2/7)))/i*i/i**6)/((i*i**(-5/2)/i)/(i/(i**1*i))) assuming i is positive.", "answer": "i**(-1243/14)"} | Simplify (i**(-2)/(i*i**(-2)*i))**42*((i/(i*i**(2/7)))/i*i/i**6)/((i*i**(-5/2)/i)/(i/(i**1*i))) assuming i is positive. | i**(-1243/14) |
{"question": "Solve -683*r = -737*r + 378 for r.", "answer": "7"} | Solve -683*r = -737*r + 378 for r. | 7 |
{"question": "What is 719 minutes after 1:46 PM?", "answer": "1:45 AM"} | What is 719 minutes after 1:46 PM? | 1:45 AM |
{"question": "What is the ten thousands digit of 13327?", "answer": "1"} | What is the ten thousands digit of 13327? | 1 |
{"question": "6957771*-3", "answer": "-20873313"} | 6957771*-3 | -20873313 |
{"question": "Solve -1199*n + 2435*n = 1178*n + 1450 for n.", "answer": "25"} | Solve -1199*n + 2435*n = 1178*n + 1450 for n. | 25 |
{"question": "Let j(n) = n - 3. Suppose 3*s = -5*h - 7 + 27, -5*s = -3*h - 22. Calculate j(s).", "answer": "2"} | Let j(n) = n - 3. Suppose 3*s = -5*h - 7 + 27, -5*s = -3*h - 22. Calculate j(s). | 2 |
{"question": "Let w(f) = -334*f + 9. Let z be w(-12). Suppose i - z = -5*n, n = 3*n + 2*i - 1602. Suppose n = -0*d + 3*d. List the prime factors of d.", "answer": "2, 67"} | Let w(f) = -334*f + 9. Let z be w(-12). Suppose i - z = -5*n, n = 3*n + 2*i - 1602. Suppose n = -0*d + 3*d. List the prime factors of d. | 2, 67 |
{"question": "Let z(l) = l**2 - 7*l. Let p be z(5). Let q(s) = 5*s**2 + 156*s + 30. Let w be q(-31). Calculate the least common multiple of 18 and 1/(w/p) - 2.", "answer": "72"} | Let z(l) = l**2 - 7*l. Let p be z(5). Let q(s) = 5*s**2 + 156*s + 30. Let w be q(-31). Calculate the least common multiple of 18 and 1/(w/p) - 2. | 72 |
{"question": "Suppose 18 + 0 + 73 = 13*w. What is the remainder when 2028 is divided by w?", "answer": "5"} | Suppose 18 + 0 + 73 = 13*w. What is the remainder when 2028 is divided by w? | 5 |
{"question": "What is the eighth root of 11325478 to the nearest integer?", "answer": "8"} | What is the eighth root of 11325478 to the nearest integer? | 8 |
{"question": "Let a(t) = 0 - 3 - t**2 + 7 + 14*t + 0. Give a(14).", "answer": "4"} | Let a(t) = 0 - 3 - t**2 + 7 + 14*t + 0. Give a(14). | 4 |
{"question": "What is next in -12, -21, -30, -39, -48?", "answer": "-57"} | What is next in -12, -21, -30, -39, -48? | -57 |
{"question": "Convert 3 (base 16) to base 7.", "answer": "3"} | Convert 3 (base 16) to base 7. | 3 |
{"question": "Collect the terms in -13835*h**2 - 13845*h**2 + h**3 - 13838*h**2 + 41528*h**2.", "answer": "h**3 + 10*h**2"} | Collect the terms in -13835*h**2 - 13845*h**2 + h**3 - 13838*h**2 + 41528*h**2. | h**3 + 10*h**2 |
{"question": "Find p such that -6*p**5 + 14*p**4 + 2*p**3 - 14*p**2 + 4*p = 0.", "answer": "-1, 0, 1/3, 1, 2"} | Find p such that -6*p**5 + 14*p**4 + 2*p**3 - 14*p**2 + 4*p = 0. | -1, 0, 1/3, 1, 2 |
{"question": "Which is the closest to 0.08? (a) 5 (b) 4 (c) -0.5 (d) 2", "answer": "c"} | Which is the closest to 0.08? (a) 5 (b) 4 (c) -0.5 (d) 2 | c |
{"question": "Is 8632656 a multiple of 18?", "answer": "True"} | Is 8632656 a multiple of 18? | True |
{"question": "Calculate (1*(-3)/(-9))/(((-4)/27)/4).", "answer": "-9"} | Calculate (1*(-3)/(-9))/(((-4)/27)/4). | -9 |
{"question": "-1a9912 (base 13) to base 12", "answer": "-288598"} | -1a9912 (base 13) to base 12 | -288598 |
{"question": "Simplify (sqrt(11) - sqrt(66)/(sqrt(96) - sqrt(6)))*-4.", "answer": "-8*sqrt(11)/3"} | Simplify (sqrt(11) - sqrt(66)/(sqrt(96) - sqrt(6)))*-4. | -8*sqrt(11)/3 |
{"question": "Four letters picked without replacement from {d: 2, t: 1, r: 1, h: 1, o: 3, q: 3}. Give prob of picking 2 o, 1 h, and 1 t.", "answer": "1/110"} | Four letters picked without replacement from {d: 2, t: 1, r: 1, h: 1, o: 3, q: 3}. Give prob of picking 2 o, 1 h, and 1 t. | 1/110 |
{"question": "Does 5 divide 8081571?", "answer": "False"} | Does 5 divide 8081571? | False |
{"question": "Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 3, r: 1, z: 5, w: 4, t: 1, l: 1}.", "answer": "1/7"} | Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 3, r: 1, z: 5, w: 4, t: 1, l: 1}. | 1/7 |
{"question": "Suppose -l = 4*r - 4*l - 3, -r - 5*l - 5 = 0. Let i(g) be the third derivative of 1/60*g**5 + 0 + 0*g + r*g**4 - 2*g**2 - 1/2*g**3. Calculate i(0).", "answer": "-3"} | Suppose -l = 4*r - 4*l - 3, -r - 5*l - 5 = 0. Let i(g) be the third derivative of 1/60*g**5 + 0 + 0*g + r*g**4 - 2*g**2 - 1/2*g**3. Calculate i(0). | -3 |
{"question": "Round -62572.74 to the nearest ten thousand.", "answer": "-60000"} | Round -62572.74 to the nearest ten thousand. | -60000 |
{"question": "Let z(o) = -o**2 - o. Let u be z(-1). Suppose 48*h + 38 = 67*h. Solve u = -4*t + h*t - 6 for t.", "answer": "-3"} | Let z(o) = -o**2 - o. Let u be z(-1). Suppose 48*h + 38 = 67*h. Solve u = -4*t + h*t - 6 for t. | -3 |
{"question": "2520 divided by 60", "answer": "42"} | 2520 divided by 60 | 42 |
{"question": "Rearrange -20*w**4 + 13*w**2 + 2*w**3 - 51*w + 102*w - 25*w**4 - 49*w to l*w + i*w**4 + d + p*w**3 + h*w**2 and give h.", "answer": "13"} | Rearrange -20*w**4 + 13*w**2 + 2*w**3 - 51*w + 102*w - 25*w**4 - 49*w to l*w + i*w**4 + d + p*w**3 + h*w**2 and give h. | 13 |
{"question": "Solve -3*m = -5*o - 26, -95*o - 32 = -m - 90*o for m.", "answer": "-3"} | Solve -3*m = -5*o - 26, -95*o - 32 = -m - 90*o for m. | -3 |
{"question": "Collect the terms in -53*n + 113*n - 60*n - 69008*n**2 + 3.", "answer": "-69008*n**2 + 3"} | Collect the terms in -53*n + 113*n - 60*n - 69008*n**2 + 3. | -69008*n**2 + 3 |
{"question": "Suppose -2*u = -3 - 3. Suppose 0 = 2*m + 3*m + u*n + 107, -4*m + 4*n - 92 = 0. Let k = 39 + m. Calculate the remainder when k is divided by 9.", "answer": "8"} | Suppose -2*u = -3 - 3. Suppose 0 = 2*m + 3*m + u*n + 107, -4*m + 4*n - 92 = 0. Let k = 39 + m. Calculate the remainder when k is divided by 9. | 8 |
{"question": "Find the common denominator of -1/42 and 59/52.", "answer": "1092"} | Find the common denominator of -1/42 and 59/52. | 1092 |
{"question": "How many grams are there in 608.7176 tonnes?", "answer": "608717600"} | How many grams are there in 608.7176 tonnes? | 608717600 |
{"question": "Calculate the least common multiple of 20 and 5160.", "answer": "5160"} | Calculate the least common multiple of 20 and 5160. | 5160 |
{"question": "Convert 973c8 (base 13) to base 8.", "answer": "1025313"} | Convert 973c8 (base 13) to base 8. | 1025313 |
{"question": "Let z(d) be the second derivative of 4*d**7/21 + d**6/5 - d**5/10 + 8*d. Factor z(s).", "answer": "2*s**3*(s + 1)*(4*s - 1)"} | Let z(d) be the second derivative of 4*d**7/21 + d**6/5 - d**5/10 + 8*d. Factor z(s). | 2*s**3*(s + 1)*(4*s - 1) |
{"question": "Which is the fourth biggest value? (a) 4 (b) 1 (c) -1/7 (d) 0.03 (e) 3", "answer": "d"} | Which is the fourth biggest value? (a) 4 (b) 1 (c) -1/7 (d) 0.03 (e) 3 | d |
{"question": "Let g(f) be the second derivative of -17*f**5/10 - f**4/6 + 40*f**2 + 128*f + 1. Find the first derivative of g(o) wrt o.", "answer": "-102*o**2 - 4*o"} | Let g(f) be the second derivative of -17*f**5/10 - f**4/6 + 40*f**2 + 128*f + 1. Find the first derivative of g(o) wrt o. | -102*o**2 - 4*o |
{"question": "Let x(d) = -d**3 + 15*d**2 + 18*d - 29. Let l be x(16). Suppose 0 = 2*o + l*h - 6536, o = -3*o - 3*h + 13078. Is o a composite number?", "answer": "False"} | Let x(d) = -d**3 + 15*d**2 + 18*d - 29. Let l be x(16). Suppose 0 = 2*o + l*h - 6536, o = -3*o - 3*h + 13078. Is o a composite number? | False |
{"question": "Let c(d) = d**3 - 7*d**2 + 10*d - 7. Let x be c(6). Which is smaller: x or 16?", "answer": "16"} | Let c(d) = d**3 - 7*d**2 + 10*d - 7. Let x be c(6). Which is smaller: x or 16? | 16 |
{"question": "Rearrange 10*u**2 + 2*u**3 - 8*u**2 - 11 - 9*u + 7*u + u**4 to i*u**3 + l*u**4 + z*u**2 + s*u + x and give s.", "answer": "-2"} | Rearrange 10*u**2 + 2*u**3 - 8*u**2 - 11 - 9*u + 7*u + u**4 to i*u**3 + l*u**4 + z*u**2 + s*u + x and give s. | -2 |
{"question": "What is the tenth root of 1394 to the nearest integer?", "answer": "2"} | What is the tenth root of 1394 to the nearest integer? | 2 |
{"question": "What is the l'th term of -2690, -2398, -2106, -1814?", "answer": "292*l - 2982"} | What is the l'th term of -2690, -2398, -2106, -1814? | 292*l - 2982 |
{"question": "Suppose d = t - 8, -13 = 3*t + 5*d + 3. Let l(i) = i + 6. Let b be l(-7). Let o = 3 - 6. Sort t, o, b in increasing order.", "answer": "o, b, t"} | Suppose d = t - 8, -13 = 3*t + 5*d + 3. Let l(i) = i + 6. Let b be l(-7). Let o = 3 - 6. Sort t, o, b in increasing order. | o, b, t |
{"question": "In base 8, what is 0 - 120172?", "answer": "-120172"} | In base 8, what is 0 - 120172? | -120172 |
{"question": "Solve -29731 = -1146*h + 1749 - 834 + 6026 for h.", "answer": "32"} | Solve -29731 = -1146*h + 1749 - 834 + 6026 for h. | 32 |
{"question": "Let n(w) = 47*w**2 - 2*w + 3. Let g be n(1). Suppose d - 55 = -i - i, 4*i - 95 = -5*d. Suppose y = -4*y + i. Calculate the greatest common divisor of y and g.", "answer": "6"} | Let n(w) = 47*w**2 - 2*w + 3. Let g be n(1). Suppose d - 55 = -i - i, 4*i - 95 = -5*d. Suppose y = -4*y + i. Calculate the greatest common divisor of y and g. | 6 |
{"question": "What is 17/2 of a week in minutes?", "answer": "85680"} | What is 17/2 of a week in minutes? | 85680 |
{"question": "Calculate 10/12 + 95/(-90).", "answer": "-2/9"} | Calculate 10/12 + 95/(-90). | -2/9 |
{"question": "Divide 518 by 425.", "answer": "518/425"} | Divide 518 by 425. | 518/425 |
{"question": "Let i(m) = 423*m - 2547. Calculate the remainder when i(9) is divided by 140.", "answer": "0"} | Let i(m) = 423*m - 2547. Calculate the remainder when i(9) is divided by 140. | 0 |
{"question": "Let j(g) = -2*g. Let v(x) be the first derivative of 5/3*x**3 + 49 + 0*x + 5*x**2. Determine j(v(o)).", "answer": "-10*o**2 - 20*o"} | Let j(g) = -2*g. Let v(x) be the first derivative of 5/3*x**3 + 49 + 0*x + 5*x**2. Determine j(v(o)). | -10*o**2 - 20*o |
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