text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Let w = 140 - 978/7. Sort 0.3, -1, w in increasing order.", "answer": "-1, w, 0.3"} | Let w = 140 - 978/7. Sort 0.3, -1, w in increasing order. | -1, w, 0.3 |
{"question": "Let n(u) = -17*u + 25. What is the units digit of n(-6)?", "answer": "7"} | Let n(u) = -17*u + 25. What is the units digit of n(-6)? | 7 |
{"question": "Solve -176 = 12*h + 8*w, 68 = -h - 5*h + 2*h - 5*w for h.", "answer": "-12"} | Solve -176 = 12*h + 8*w, 68 = -h - 5*h + 2*h - 5*w for h. | -12 |
{"question": "Let x(u) = 6855*u - 6855*u - 58 - 13*u**3 + 5*u**2. Let g(z) = -z**2. Let w(o) = g(o) + x(o). Differentiate w(v) with respect to v.", "answer": "-39*v**2 + 8*v"} | Let x(u) = 6855*u - 6855*u - 58 - 13*u**3 + 5*u**2. Let g(z) = -z**2. Let w(o) = g(o) + x(o). Differentiate w(v) with respect to v. | -39*v**2 + 8*v |
{"question": "What is the hundreds digit of 818893?", "answer": "8"} | What is the hundreds digit of 818893? | 8 |
{"question": "Expand (r**2 - r**2 + 2*r**3)*(3 - 5*r - 3) + 0*r**4 + 0*r**4 + r**4.", "answer": "-9*r**4"} | Expand (r**2 - r**2 + 2*r**3)*(3 - 5*r - 3) + 0*r**4 + 0*r**4 + r**4. | -9*r**4 |
{"question": "Solve 52623*t + 35 = 5*s + 52620*t, 2*s + 4*t = -12 for s.", "answer": "4"} | Solve 52623*t + 35 = 5*s + 52620*t, 2*s + 4*t = -12 for s. | 4 |
{"question": "Factor -2/13*x**2 - 37544 - 152*x.", "answer": "-2*(x + 494)**2/13"} | Factor -2/13*x**2 - 37544 - 152*x. | -2*(x + 494)**2/13 |
{"question": "Two letters picked without replacement from {v: 1, o: 1, z: 1, u: 2}. Give prob of sequence zo.", "answer": "1/20"} | Two letters picked without replacement from {v: 1, o: 1, z: 1, u: 2}. Give prob of sequence zo. | 1/20 |
{"question": "What is 16095309 to the power of 1/2, to the nearest integer?", "answer": "4012"} | What is 16095309 to the power of 1/2, to the nearest integer? | 4012 |
{"question": "What is the closest to -2/3 in -1664, 0.07, -2/7?", "answer": "-2/7"} | What is the closest to -2/3 in -1664, 0.07, -2/7? | -2/7 |
{"question": "What is -3268 divided by -13763?", "answer": "3268/13763"} | What is -3268 divided by -13763? | 3268/13763 |
{"question": "What is the lowest common multiple of 60 and 95?", "answer": "1140"} | What is the lowest common multiple of 60 and 95? | 1140 |
{"question": "Is 40238820 a multiple of 5?", "answer": "True"} | Is 40238820 a multiple of 5? | True |
{"question": "Simplify (m**2*(m*m/m**(-2/7))/m)/(m*m*m**3*m*m*(m*m**(2/19)/m*m)/m) assuming m is positive.", "answer": "m**(-508/133)"} | Simplify (m**2*(m*m/m**(-2/7))/m)/(m*m*m**3*m*m*(m*m**(2/19)/m*m)/m) assuming m is positive. | m**(-508/133) |
{"question": "What is the first derivative of -20621*n**3*r - 2960*n**3 - 2*n - 21*r + 34 wrt r?", "answer": "-20621*n**3 - 21"} | What is the first derivative of -20621*n**3*r - 2960*n**3 - 2*n - 21*r + 34 wrt r? | -20621*n**3 - 21 |
{"question": "Product of 486 and -1392.", "answer": "-676512"} | Product of 486 and -1392. | -676512 |
{"question": "(152 - (265 - 119)) + -23 + 1", "answer": "-16"} | (152 - (265 - 119)) + -23 + 1 | -16 |
{"question": "Is 8866 a factor of 1821422174?", "answer": "True"} | Is 8866 a factor of 1821422174? | True |
{"question": "How many seconds are there in 535.8952 minutes?", "answer": "32153.712"} | How many seconds are there in 535.8952 minutes? | 32153.712 |
{"question": "Evaluate (20/(-15)*9/2)/((-56)/336).", "answer": "36"} | Evaluate (20/(-15)*9/2)/((-56)/336). | 36 |
{"question": "Let -2*r**2/11 + 244700*r - 2691698/11 = 0. Calculate r.", "answer": "1, 1345849"} | Let -2*r**2/11 + 244700*r - 2691698/11 = 0. Calculate r. | 1, 1345849 |
{"question": "Let o be 1*(-5)/(20/(-8)). Suppose 5*j + o*s = -2*s + 68, 5*s - 49 = -4*j. Suppose 5*y = x + 135, 5*y + x = j + 119. What is the units digit of y?", "answer": "7"} | Let o be 1*(-5)/(20/(-8)). Suppose 5*j + o*s = -2*s + 68, 5*s - 49 = -4*j. Suppose 5*y = x + 135, 5*y + x = j + 119. What is the units digit of y? | 7 |
{"question": "Let r(h) = 2*h**2 + 49*h - 29. Let n be r(-25). Let l(a) = a + 7. Determine l(n).", "answer": "3"} | Let r(h) = 2*h**2 + 49*h - 29. Let n be r(-25). Let l(a) = a + 7. Determine l(n). | 3 |
{"question": "Does 37 divide (-4430)/(-15) + 4/18*3?", "answer": "True"} | Does 37 divide (-4430)/(-15) + 4/18*3? | True |
{"question": "Calculate 3/(-1)*(-4)/(-4).", "answer": "-3"} | Calculate 3/(-1)*(-4)/(-4). | -3 |
{"question": "Let i(x) = 6*x**3 - 3*x**2 - 3*x - 17. Let o(f) = -30*f**3 + 14*f**2 + 14*f + 84. Let a(m) = 14*i(m) + 3*o(m). Differentiate a(s) with respect to s.", "answer": "-18*s**2"} | Let i(x) = 6*x**3 - 3*x**2 - 3*x - 17. Let o(f) = -30*f**3 + 14*f**2 + 14*f + 84. Let a(m) = 14*i(m) + 3*o(m). Differentiate a(s) with respect to s. | -18*s**2 |
{"question": "(-28)/(-8)*(-12156)/78001", "answer": "-6/11"} | (-28)/(-8)*(-12156)/78001 | -6/11 |
{"question": "Calculate -8 divided by 8.", "answer": "-1"} | Calculate -8 divided by 8. | -1 |
{"question": "Simplify 3*sqrt(125)*3.", "answer": "45*sqrt(5)"} | Simplify 3*sqrt(125)*3. | 45*sqrt(5) |
{"question": "What is the value of (-1 - -4) + 1 + -10?", "answer": "-6"} | What is the value of (-1 - -4) + 1 + -10? | -6 |
{"question": "What is the greatest common divisor of 5733 and 9261?", "answer": "441"} | What is the greatest common divisor of 5733 and 9261? | 441 |
{"question": "What is the billions digit of 1010488247?", "answer": "1"} | What is the billions digit of 1010488247? | 1 |
{"question": "Let s = -3.89 + 3.9. Let y = -0.0725 - -4.0825. Let p = y - s. What is the second smallest value in -0.15, p, 0.4?", "answer": "0.4"} | Let s = -3.89 + 3.9. Let y = -0.0725 - -4.0825. Let p = y - s. What is the second smallest value in -0.15, p, 0.4? | 0.4 |
{"question": "Let c(a) be the second derivative of -a**7/105 + 16*a**6/75 - 99*a**5/50 + 146*a**4/15 - 80*a**3/3 + 192*a**2/5 - 2*a - 4. Suppose c(i) = 0. What is i?", "answer": "1, 3, 4"} | Let c(a) be the second derivative of -a**7/105 + 16*a**6/75 - 99*a**5/50 + 146*a**4/15 - 80*a**3/3 + 192*a**2/5 - 2*a - 4. Suppose c(i) = 0. What is i? | 1, 3, 4 |
{"question": "Let d be 4*1/(-2)*-1. Suppose p - d*o - 7 = 8, -2*o - 48 = -4*p. Solve -2*t = t - 5*f - 22, t + p = -2*f for t.", "answer": "-1"} | Let d be 4*1/(-2)*-1. Suppose p - d*o - 7 = 8, -2*o - 48 = -4*p. Solve -2*t = t - 5*f - 22, t + p = -2*f for t. | -1 |
{"question": "Solve -5*m + 3*i = 7*i + 1, 0 = 4*m - 2*i + 6 for m.", "answer": "-1"} | Solve -5*m + 3*i = 7*i + 1, 0 = 4*m - 2*i + 6 for m. | -1 |
{"question": "What is the derivative of 2929290*j - 7065873 wrt j?", "answer": "2929290"} | What is the derivative of 2929290*j - 7065873 wrt j? | 2929290 |
{"question": "-12 * -20015908", "answer": "240190896"} | -12 * -20015908 | 240190896 |
{"question": "What is the billions digit of 5463752177?", "answer": "5"} | What is the billions digit of 5463752177? | 5 |
{"question": "What is the value of 4*(-8)/160*-10?", "answer": "2"} | What is the value of 4*(-8)/160*-10? | 2 |
{"question": "Suppose 0 = 4*v - 4*d + 4, 0 = -5*v + 3*d - 0*d - 1. Let w(q) = 2 + 2*q - v - 3 + 3. List the prime factors of w(6).", "answer": "13"} | Suppose 0 = 4*v - 4*d + 4, 0 = -5*v + 3*d - 0*d - 1. Let w(q) = 2 + 2*q - v - 3 + 3. List the prime factors of w(6). | 13 |
{"question": "Let m(r) = -r - 1. Let p be m(-7). Let u(d) = -d**3 + 7*d**2 - 6*d + 3. Let y be u(p). Suppose -64*w + 64 = w - 66. Solve w*z - 5 = y for z.", "answer": "4"} | Let m(r) = -r - 1. Let p be m(-7). Let u(d) = -d**3 + 7*d**2 - 6*d + 3. Let y be u(p). Suppose -64*w + 64 = w - 66. Solve w*z - 5 = y for z. | 4 |
{"question": "Solve f - 7 = -4*z, -3*f + z + 7872 = 7890 for f.", "answer": "-5"} | Solve f - 7 = -4*z, -3*f + z + 7872 = 7890 for f. | -5 |
{"question": "What is the nearest to 1/3 in -2/17, 0.3, -106, 7/27?", "answer": "0.3"} | What is the nearest to 1/3 in -2/17, 0.3, -106, 7/27? | 0.3 |
{"question": "Let i = 423 - 421.29. Let v = 9.80057 - 11.510749. Let l = v + i. Round l to five decimal places.", "answer": "-0.00018"} | Let i = 423 - 421.29. Let v = 9.80057 - 11.510749. Let l = v + i. Round l to five decimal places. | -0.00018 |
{"question": "Is 237627359 a composite number?", "answer": "True"} | Is 237627359 a composite number? | True |
{"question": "How many millilitres are there in twenty-one quarters of a litre?", "answer": "5250"} | How many millilitres are there in twenty-one quarters of a litre? | 5250 |
{"question": "What is the least common multiple of 1936 and 10?", "answer": "9680"} | What is the least common multiple of 1936 and 10? | 9680 |
{"question": "In base 4, what is 200023 - -110220?", "answer": "310303"} | In base 4, what is 200023 - -110220? | 310303 |
{"question": "Let v(b) = b**3 + 8*b**2 + 8*b - 1. Let d be v(-7). Let r = d - -12. Suppose 0 = q + 4*g, q - r*q - 4*g + 24 = 0. Does 6 divide q?", "answer": "True"} | Let v(b) = b**3 + 8*b**2 + 8*b - 1. Let d be v(-7). Let r = d - -12. Suppose 0 = q + 4*g, q - r*q - 4*g + 24 = 0. Does 6 divide q? | True |
{"question": "Multiply -199.8 and 5.", "answer": "-999"} | Multiply -199.8 and 5. | -999 |
{"question": "Let q(s) = -s + 3. Let d be q(3). Let x = -1 - -3. Let w = -1424/9 + 158. What is the nearest to w in d, x, 0.4?", "answer": "d"} | Let q(s) = -s + 3. Let d be q(3). Let x = -1 - -3. Let w = -1424/9 + 158. What is the nearest to w in d, x, 0.4? | d |
{"question": "Sort 1/15, 1, -0.3, -2, -1/2.", "answer": "-2, -1/2, -0.3, 1/15, 1"} | Sort 1/15, 1, -0.3, -2, -1/2. | -2, -1/2, -0.3, 1/15, 1 |
{"question": "Convert -258318 (base 12) to base 2.", "answer": "-10010110010011000100"} | Convert -258318 (base 12) to base 2. | -10010110010011000100 |
{"question": "Let n be (-81)/105 + (-48)/(-84). Let m = -0.43 - -0.15. What is the nearest to m in -0.4, n, -3?", "answer": "n"} | Let n be (-81)/105 + (-48)/(-84). Let m = -0.43 - -0.15. What is the nearest to m in -0.4, n, -3? | n |
{"question": "Let l = -143 - -1289/9. What is the smallest value in -16/9, 0.3, l?", "answer": "-16/9"} | Let l = -143 - -1289/9. What is the smallest value in -16/9, 0.3, l? | -16/9 |
{"question": "Let j(z) = -2*z**2 + 20*z + 3. Let x(o) = 6*o**2 - 61*o - 8. What is -11*j(r) - 4*x(r)?", "answer": "-2*r**2 + 24*r - 1"} | Let j(z) = -2*z**2 + 20*z + 3. Let x(o) = 6*o**2 - 61*o - 8. What is -11*j(r) - 4*x(r)? | -2*r**2 + 24*r - 1 |
{"question": "Let h(s) = s**3 + 69*s**2 + 125*s + 3933. Calculate h(-68).", "answer": "57"} | Let h(s) = s**3 + 69*s**2 + 125*s + 3933. Calculate h(-68). | 57 |
{"question": "Express -2*b**3 + 3*b**4 + 4*b**4 + b**2 - 1 + 2*b**4 - 12*b**4 as z*b**2 + y*b**3 + i*b + c*b**4 + g and give g.", "answer": "-1"} | Express -2*b**3 + 3*b**4 + 4*b**4 + b**2 - 1 + 2*b**4 - 12*b**4 as z*b**2 + y*b**3 + i*b + c*b**4 + g and give g. | -1 |
{"question": "Let s be (-1116)/(-210) - (21/(-15) - -1). Which is bigger: 6 or s?", "answer": "6"} | Let s be (-1116)/(-210) - (21/(-15) - -1). Which is bigger: 6 or s? | 6 |
{"question": "Suppose 0 = 4*m - m - 36. Let o(q) = -q**3 - 3*q**2 - q. Let c be o(-3). Calculate the highest common divisor of m and c.", "answer": "3"} | Suppose 0 = 4*m - m - 36. Let o(q) = -q**3 - 3*q**2 - q. Let c be o(-3). Calculate the highest common divisor of m and c. | 3 |
{"question": "What is -101 (base 2) in base 10?", "answer": "-5"} | What is -101 (base 2) in base 10? | -5 |
{"question": "Is 24 a factor of 30360480?", "answer": "True"} | Is 24 a factor of 30360480? | True |
{"question": "Suppose -x = -4*u + 6, -5*u - 5*x = -2*u - 16. Let k be u - 76*(3 + -4). Suppose -5*v = -8*v + k. Is 16 a factor of v?", "answer": "False"} | Suppose -x = -4*u + 6, -5*u - 5*x = -2*u - 16. Let k be u - 76*(3 + -4). Suppose -5*v = -8*v + k. Is 16 a factor of v? | False |
{"question": "Let f = -7 + 4. Let h(t) = 6*t - 1. Let l(d) = -d. Suppose 4*j = -9 + 5. Let o(c) = f*l(c) + j*h(c). Give o(-1).", "answer": "4"} | Let f = -7 + 4. Let h(t) = 6*t - 1. Let l(d) = -d. Suppose 4*j = -9 + 5. Let o(c) = f*l(c) + j*h(c). Give o(-1). | 4 |
{"question": "In base 11, what is -12a7 - 1711?", "answer": "-2a08"} | In base 11, what is -12a7 - 1711? | -2a08 |
{"question": "List the prime factors of 1056.", "answer": "2, 3, 11"} | List the prime factors of 1056. | 2, 3, 11 |
{"question": "What is prob of sequence dz when two letters picked without replacement from {z: 2, d: 6}?", "answer": "3/14"} | What is prob of sequence dz when two letters picked without replacement from {z: 2, d: 6}? | 3/14 |
{"question": "Suppose 0 = -7*r + 35. Solve -q = -2*a + q - 2, r*a + 4*q = -23 for a.", "answer": "-3"} | Suppose 0 = -7*r + 35. Solve -q = -2*a + q - 2, r*a + 4*q = -23 for a. | -3 |
{"question": "Let n(a) = -3 + 3 - 3 + a + a**2. Let x(p) be the third derivative of 1/60*p**5 + 0*p + 0 - 1/6*p**3 + 0*p**4 + p**2. What is n(y) - 3*x(y)?", "answer": "-2*y**2 + y"} | Let n(a) = -3 + 3 - 3 + a + a**2. Let x(p) be the third derivative of 1/60*p**5 + 0*p + 0 - 1/6*p**3 + 0*p**4 + p**2. What is n(y) - 3*x(y)? | -2*y**2 + y |
{"question": "Suppose 0 = y + 4, -f - f + 2*y - 12 = 0. Let s = 92/9 + f. Sort 5, -2, s, 4 in decreasing order.", "answer": "5, 4, s, -2"} | Suppose 0 = y + 4, -f - f + 2*y - 12 = 0. Let s = 92/9 + f. Sort 5, -2, s, 4 in decreasing order. | 5, 4, s, -2 |
{"question": "What is prob of picking 1 o and 1 f when two letters picked without replacement from fffffffffofffffffff?", "answer": "2/19"} | What is prob of picking 1 o and 1 f when two letters picked without replacement from fffffffffofffffffff? | 2/19 |
{"question": "How many minutes are there between 6:53 PM and 4:21 AM?", "answer": "568"} | How many minutes are there between 6:53 PM and 4:21 AM? | 568 |
{"question": "Calculate 4.9*2.", "answer": "9.8"} | Calculate 4.9*2. | 9.8 |
{"question": "Is 43 a factor of 13023754?", "answer": "True"} | Is 43 a factor of 13023754? | True |
{"question": "What is the s'th term of -253, -986, -2209, -3922, -6125?", "answer": "-245*s**2 + 2*s - 10"} | What is the s'th term of -253, -986, -2209, -3922, -6125? | -245*s**2 + 2*s - 10 |
{"question": "Let l = 15006 - 15004. Solve -43*k = -41*k - 6, l*k = 2*s + 16 for s.", "answer": "-5"} | Let l = 15006 - 15004. Solve -43*k = -41*k - 6, l*k = 2*s + 16 for s. | -5 |
{"question": "Suppose 3*k - 9 = 6. Let o(y) = y**3. Let g be o(1). Let z(v) = -5*v**3 - v**2 + v. Let s be z(g). Sort k, 3, s in decreasing order.", "answer": "k, 3, s"} | Suppose 3*k - 9 = 6. Let o(y) = y**3. Let g be o(1). Let z(v) = -5*v**3 - v**2 + v. Let s be z(g). Sort k, 3, s in decreasing order. | k, 3, s |
{"question": "What is the common denominator of 2/8 + 849/(-180) and (14/105)/2*(4 + 147/(-6))?", "answer": "30"} | What is the common denominator of 2/8 + 849/(-180) and (14/105)/2*(4 + 147/(-6))? | 30 |
{"question": "Do -1 and -7193/9533 have different values?", "answer": "True"} | Do -1 and -7193/9533 have different values? | True |
{"question": "Calculate 516/645*(-3)/(-3).", "answer": "4/5"} | Calculate 516/645*(-3)/(-3). | 4/5 |
{"question": "Convert 59 (base 11) to base 5.", "answer": "224"} | Convert 59 (base 11) to base 5. | 224 |
{"question": "Four letters picked without replacement from {n: 10, f: 10}. What is prob of sequence nffn?", "answer": "45/646"} | Four letters picked without replacement from {n: 10, f: 10}. What is prob of sequence nffn? | 45/646 |
{"question": "Is 22809 composite?", "answer": "True"} | Is 22809 composite? | True |
{"question": "Solve 464*s = 463*s - 4*o + 2 + 11, o = -5*s + 27 for s.", "answer": "5"} | Solve 464*s = 463*s - 4*o + 2 + 11, o = -5*s + 27 for s. | 5 |
{"question": "List the prime factors of 1417.", "answer": "13, 109"} | List the prime factors of 1417. | 13, 109 |
{"question": "What is 0.6337396 nanometers in meters?", "answer": "0.0000000006337396"} | What is 0.6337396 nanometers in meters? | 0.0000000006337396 |
{"question": "What are the prime factors of 76?", "answer": "2, 19"} | What are the prime factors of 76? | 2, 19 |
{"question": "Let h(d) = d**3 + d**2 - 1. Let b = 568 - 574. Let u(o) be the first derivative of o**4/4 + o**3 - 3*o - 9. What is b*h(x) + 2*u(x)?", "answer": "-4*x**3"} | Let h(d) = d**3 + d**2 - 1. Let b = 568 - 574. Let u(o) be the first derivative of o**4/4 + o**3 - 3*o - 9. What is b*h(x) + 2*u(x)? | -4*x**3 |
{"question": "Let i(n) = 5*n. Let o(l) = 681*l**2. Calculate o(i(h)).", "answer": "17025*h**2"} | Let i(n) = 5*n. Let o(l) = 681*l**2. Calculate o(i(h)). | 17025*h**2 |
{"question": "List the prime factors of 7544717.", "answer": "383, 19699"} | List the prime factors of 7544717. | 383, 19699 |
{"question": "What comes next: -8516, -13129, -13836, -10637?", "answer": "-3532"} | What comes next: -8516, -13129, -13836, -10637? | -3532 |
{"question": "What is the third root of 141566033 to the nearest integer?", "answer": "521"} | What is the third root of 141566033 to the nearest integer? | 521 |
{"question": "Let m(x) = 573*x + 255. Let l be m(9). What is the greatest common factor of 132 and l?", "answer": "132"} | Let m(x) = 573*x + 255. Let l be m(9). What is the greatest common factor of 132 and l? | 132 |
{"question": "What is prob of picking 2 m when two letters picked without replacement from mttmtm?", "answer": "1/5"} | What is prob of picking 2 m when two letters picked without replacement from mttmtm? | 1/5 |
{"question": "What is -47.9 times 3.65895?", "answer": "-175.263705"} | What is -47.9 times 3.65895? | -175.263705 |
{"question": "In base 15, what is 3 + 2651?", "answer": "2654"} | In base 15, what is 3 + 2651? | 2654 |
{"question": "Is 7306 at least as big as 7414?", "answer": "False"} | Is 7306 at least as big as 7414? | False |
{"question": "Let a be 78/15 + -2 + 0. Let c = 208/145 - -24/145. Suppose c*q**4 - a*q**2 - 4/5*q**5 + 0 - 16/5*q + 12/5*q**3 = 0. Calculate q.", "answer": "-1, 0, 2"} | Let a be 78/15 + -2 + 0. Let c = 208/145 - -24/145. Suppose c*q**4 - a*q**2 - 4/5*q**5 + 0 - 16/5*q + 12/5*q**3 = 0. Calculate q. | -1, 0, 2 |
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