text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "What is 40430 (base 6) in base 13?", "answer": "2583"} | What is 40430 (base 6) in base 13? | 2583 |
{"question": "What is 41405145 (base 7) in base 5?", "answer": "1342341341"} | What is 41405145 (base 7) in base 5? | 1342341341 |
{"question": "Which is the closest to -0.3? (a) -1 (b) 4 (c) -36394", "answer": "a"} | Which is the closest to -0.3? (a) -1 (b) 4 (c) -36394 | a |
{"question": "In base 3, what is 12 - 20010111121102?", "answer": "-20010111121020"} | In base 3, what is 12 - 20010111121102? | -20010111121020 |
{"question": "Suppose 4*w = -4*a - 103 - 29, 117 = -4*w - a. Let m = w + 200. What is the hundreds digit of m?", "answer": "1"} | Suppose 4*w = -4*a - 103 - 29, 117 = -4*w - a. Let m = w + 200. What is the hundreds digit of m? | 1 |
{"question": "What is the ten thousands digit of 37855?", "answer": "3"} | What is the ten thousands digit of 37855? | 3 |
{"question": "Multiply 24 and -177.", "answer": "-4248"} | Multiply 24 and -177. | -4248 |
{"question": "Let n be (2 + -3)*(0 - (2 - 1)). Let r be (n/1 - -2)*(-126)/6. Let d = 118 - r. What are the prime factors of d?", "answer": "181"} | Let n be (2 + -3)*(0 - (2 - 1)). Let r be (n/1 - -2)*(-126)/6. Let d = 118 - r. What are the prime factors of d? | 181 |
{"question": "Is 50 a multiple of 4?", "answer": "False"} | Is 50 a multiple of 4? | False |
{"question": "Let k(p) = -4*p - 147928. Let o(q) = q. Give k(o(j)).", "answer": "-4*j - 147928"} | Let k(p) = -4*p - 147928. Let o(q) = q. Give k(o(j)). | -4*j - 147928 |
{"question": "Which is the smallest value? (a) -2 (b) 2 (c) 85/278", "answer": "a"} | Which is the smallest value? (a) -2 (b) 2 (c) 85/278 | a |
{"question": "Sort 20, 34, 4, -3, -1 in ascending order.", "answer": "-3, -1, 4, 20, 34"} | Sort 20, 34, 4, -3, -1 in ascending order. | -3, -1, 4, 20, 34 |
{"question": "Let k(z) = 3*z**2 - 1268*z + 6258. Calculate k(5).", "answer": "-7"} | Let k(z) = 3*z**2 - 1268*z + 6258. Calculate k(5). | -7 |
{"question": "What is the smallest value in -80139, -8, 2, 1/5?", "answer": "-80139"} | What is the smallest value in -80139, -8, 2, 1/5? | -80139 |
{"question": "Let o(p) be the third derivative of p**7/105 - 469*p**6/120 - 1135*p**4/24 + 656*p**2. Find the second derivative of o(q) wrt q.", "answer": "24*q**2 - 2814*q"} | Let o(p) be the third derivative of p**7/105 - 469*p**6/120 - 1135*p**4/24 + 656*p**2. Find the second derivative of o(q) wrt q. | 24*q**2 - 2814*q |
{"question": "What is 25/4 of a tonne in kilograms?", "answer": "6250"} | What is 25/4 of a tonne in kilograms? | 6250 |
{"question": "Let x = -524 + 1058. Let w = x + -866. What is the common denominator of (w/(-24))/((-8)/6) and 1?", "answer": "8"} | Let x = -524 + 1058. Let w = x + -866. What is the common denominator of (w/(-24))/((-8)/6) and 1? | 8 |
{"question": "Let o(a) = 390*a**2 + 39*a - 59. Is o(-8) a prime number?", "answer": "False"} | Let o(a) = 390*a**2 + 39*a - 59. Is o(-8) a prime number? | False |
{"question": "Suppose 0 = 10*o + 11 + 29. Let p = 10809 - 10819. Let b = 8 - 3. Sort o, b, p.", "answer": "p, o, b"} | Suppose 0 = 10*o + 11 + 29. Let p = 10809 - 10819. Let b = 8 - 3. Sort o, b, p. | p, o, b |
{"question": "Let z be (-162)/(-45)*1*5/(-2). Let x(d) = 16*d**3 + 8*d**2 - 5. Let v(w) = 4*w**3 + 2*w**2 - 1. What is z*v(q) + 2*x(q)?", "answer": "-4*q**3 - 2*q**2 - 1"} | Let z be (-162)/(-45)*1*5/(-2). Let x(d) = 16*d**3 + 8*d**2 - 5. Let v(w) = 4*w**3 + 2*w**2 - 1. What is z*v(q) + 2*x(q)? | -4*q**3 - 2*q**2 - 1 |
{"question": "Let z(n) = n**3 + 2. Suppose -12*f - 56 = 22*f + 12. What is z(f)?", "answer": "-6"} | Let z(n) = n**3 + 2. Suppose -12*f - 56 = 22*f + 12. What is z(f)? | -6 |
{"question": "How many minutes are there between 3:01 AM and 9:01 AM?", "answer": "360"} | How many minutes are there between 3:01 AM and 9:01 AM? | 360 |
{"question": "What are the prime factors of 64792410?", "answer": "2, 3, 5, 199, 10853"} | What are the prime factors of 64792410? | 2, 3, 5, 199, 10853 |
{"question": "Is 301006499 prime?", "answer": "True"} | Is 301006499 prime? | True |
{"question": "Collect the terms in 3*c - 5*c + 4*c - 2*c - 504874*c**3 + 504868*c**3.", "answer": "-6*c**3"} | Collect the terms in 3*c - 5*c + 4*c - 2*c - 504874*c**3 + 504868*c**3. | -6*c**3 |
{"question": "What comes next: -182745, -182744, -182741, -182742, -182753, -182780, -182829, -182906?", "answer": "-183017"} | What comes next: -182745, -182744, -182741, -182742, -182753, -182780, -182829, -182906? | -183017 |
{"question": "What is the nearest to -1 in -4, -0.4, -11, -0.5?", "answer": "-0.5"} | What is the nearest to -1 in -4, -0.4, -11, -0.5? | -0.5 |
{"question": "What is next in -17992, -141883, -478154, -1132993, -2212588, -3823127, -6070798?", "answer": "-9061789"} | What is next in -17992, -141883, -478154, -1132993, -2212588, -3823127, -6070798? | -9061789 |
{"question": "Calculate the common denominator of -65/86 and -145/6.", "answer": "258"} | Calculate the common denominator of -65/86 and -145/6. | 258 |
{"question": "Collect the terms in -491*x**2 + 105*x**2 - 2 + 117*x**2 + 106*x**2.", "answer": "-163*x**2 - 2"} | Collect the terms in -491*x**2 + 105*x**2 - 2 + 117*x**2 + 106*x**2. | -163*x**2 - 2 |
{"question": "What is the cube root of 1687961450 to the nearest integer?", "answer": "1191"} | What is the cube root of 1687961450 to the nearest integer? | 1191 |
{"question": "Let q(k) be the first derivative of 10 + 3 - k**2 - 14. Let s(o) = -6*o. Give q(s(d)).", "answer": "12*d"} | Let q(k) be the first derivative of 10 + 3 - k**2 - 14. Let s(o) = -6*o. Give q(s(d)). | 12*d |
{"question": "Which is the nearest to 41? (a) -3/2 (b) 0 (c) -1/4", "answer": "b"} | Which is the nearest to 41? (a) -3/2 (b) 0 (c) -1/4 | b |
{"question": "Determine i so that -i**4/3 - 115*i**3/3 - 109*i**2 + 1003*i/3 - 560/3 = 0.", "answer": "-112, -5, 1"} | Determine i so that -i**4/3 - 115*i**3/3 - 109*i**2 + 1003*i/3 - 560/3 = 0. | -112, -5, 1 |
{"question": "Simplify (n/n**41*(n*n/(n*n**12)*n)/n)/(n*(n**(4/21)*n*n)/n*n**(5/7)) assuming n is positive.", "answer": "n**(-1132/21)"} | Simplify (n/n**41*(n*n/(n*n**12)*n)/n)/(n*(n**(4/21)*n*n)/n*n**(5/7)) assuming n is positive. | n**(-1132/21) |
{"question": "What is the nearest to -2 in 0.5, -1/2, -30895?", "answer": "-1/2"} | What is the nearest to -2 in 0.5, -1/2, -30895? | -1/2 |
{"question": "Factor x**2/2 - 13903*x/2 + 11245773.", "answer": "(x - 12034)*(x - 1869)/2"} | Factor x**2/2 - 13903*x/2 + 11245773. | (x - 12034)*(x - 1869)/2 |
{"question": "What is the highest common divisor of 366606 and 12304953?", "answer": "5913"} | What is the highest common divisor of 366606 and 12304953? | 5913 |
{"question": "Let i be ((-46)/2)/(1/(-2)). Let s(t) = t**3 - 9*t**2 - 9*t - 13. Let j be s(10). What is the tens digit of i/(5 + j + 0)?", "answer": "2"} | Let i be ((-46)/2)/(1/(-2)). Let s(t) = t**3 - 9*t**2 - 9*t - 13. Let j be s(10). What is the tens digit of i/(5 + j + 0)? | 2 |
{"question": "What is 0.000046756 rounded to six decimal places?", "answer": "0.000047"} | What is 0.000046756 rounded to six decimal places? | 0.000047 |
{"question": "Let h = 4/153 + -365/306. Which is the nearest to -0.1? (a) h (b) -1/6 (c) 0", "answer": "b"} | Let h = 4/153 + -365/306. Which is the nearest to -0.1? (a) h (b) -1/6 (c) 0 | b |
{"question": "Express 2 - 18*w + 7 + 8 - 15 in the form o + n*w and give o.", "answer": "2"} | Express 2 - 18*w + 7 + 8 - 15 in the form o + n*w and give o. | 2 |
{"question": "Factor -2*p**2/11 - 416*p/11 + 2130/11.", "answer": "-2*(p - 5)*(p + 213)/11"} | Factor -2*p**2/11 - 416*p/11 + 2130/11. | -2*(p - 5)*(p + 213)/11 |
{"question": "Suppose 4*z - 52 = -4*g, -z = 2*z + 4*g - 41. Suppose 5*k - 4*l = 27, -34*k + 39*k - l - 18 = 0. Which is the closest to 4/5? (a) -1 (b) k (c) z", "answer": "a"} | Suppose 4*z - 52 = -4*g, -z = 2*z + 4*g - 41. Suppose 5*k - 4*l = 27, -34*k + 39*k - l - 18 = 0. Which is the closest to 4/5? (a) -1 (b) k (c) z | a |
{"question": "What is three fifths of a millennium in centuries?", "answer": "6"} | What is three fifths of a millennium in centuries? | 6 |
{"question": "Solve 4*g + 5*l = -68 + 19, 215*g - 27 = 222*g - 3*l for g.", "answer": "-6"} | Solve 4*g + 5*l = -68 + 19, 215*g - 27 = 222*g - 3*l for g. | -6 |
{"question": "Put -15, 5, 1, 4, -11 in decreasing order.", "answer": "5, 4, 1, -11, -15"} | Put -15, 5, 1, 4, -11 in decreasing order. | 5, 4, 1, -11, -15 |
{"question": "Calculate the remainder when 5812295 is divided by 5812098.", "answer": "197"} | Calculate the remainder when 5812295 is divided by 5812098. | 197 |
{"question": "Let k be (-1)/(-13)*2 + 68323/(-221). Which is smaller: -308 or k?", "answer": "k"} | Let k be (-1)/(-13)*2 + 68323/(-221). Which is smaller: -308 or k? | k |
{"question": "Let f = -1039 - -1109. What is the units digit of f?", "answer": "0"} | Let f = -1039 - -1109. What is the units digit of f? | 0 |
{"question": "What is the smallest value in 1/2, -0.05, 0.03, 1/3, 4/5?", "answer": "-0.05"} | What is the smallest value in 1/2, -0.05, 0.03, 1/3, 4/5? | -0.05 |
{"question": "Let z = -1 + 33. Suppose -4*r + 4*g = z, -r + 3*r = -g - 16. Is (3 + r/3)*105 a multiple of 7?", "answer": "True"} | Let z = -1 + 33. Suppose -4*r + 4*g = z, -r + 3*r = -g - 16. Is (3 + r/3)*105 a multiple of 7? | True |
{"question": "Simplify (3 + 5 + sqrt(11) + 2 + 1*sqrt(11))**2 + (sqrt(110) - (sqrt(110) - 1*sqrt(110)*2))/(sqrt(10) - 5*(sqrt(90) - sqrt(10))).", "answer": "358*sqrt(11)/9 + 144"} | Simplify (3 + 5 + sqrt(11) + 2 + 1*sqrt(11))**2 + (sqrt(110) - (sqrt(110) - 1*sqrt(110)*2))/(sqrt(10) - 5*(sqrt(90) - sqrt(10))). | 358*sqrt(11)/9 + 144 |
{"question": "Let t(c) = -c**2 - 887438*c + 2. Let h(x) = x. Calculate t(h(n)).", "answer": "-n**2 - 887438*n + 2"} | Let t(c) = -c**2 - 887438*c + 2. Let h(x) = x. Calculate t(h(n)). | -n**2 - 887438*n + 2 |
{"question": "Add together -0.5 and -336.9.", "answer": "-337.4"} | Add together -0.5 and -336.9. | -337.4 |
{"question": "Let -5*r**2 + 88790*r + 88795 = 0. Calculate r.", "answer": "-1, 17759"} | Let -5*r**2 + 88790*r + 88795 = 0. Calculate r. | -1, 17759 |
{"question": "Expand (20714*q**5 - 12326*q**5 + 3752*q**5)*(3 - 2 - 3).", "answer": "-24280*q**5"} | Expand (20714*q**5 - 12326*q**5 + 3752*q**5)*(3 - 2 - 3). | -24280*q**5 |
{"question": "Calculate 1009 divided by 24146.", "answer": "1009/24146"} | Calculate 1009 divided by 24146. | 1009/24146 |
{"question": "Let u(b) = 243*b**2 - 4*b - 11. Let m(j) = 121*j**2 - 2*j - 6. Let o(h) = -7*m(h) + 4*u(h). What is the units digit of o(-2)?", "answer": "2"} | Let u(b) = 243*b**2 - 4*b - 11. Let m(j) = 121*j**2 - 2*j - 6. Let o(h) = -7*m(h) + 4*u(h). What is the units digit of o(-2)? | 2 |
{"question": "Put together -0.2482 and -4198213507.", "answer": "-4198213507.2482"} | Put together -0.2482 and -4198213507. | -4198213507.2482 |
{"question": "Does 31 divide 2410?", "answer": "False"} | Does 31 divide 2410? | False |
{"question": "Let j = -36 + 70. Suppose j*a = 30*a + 2480. What are the prime factors of a?", "answer": "2, 5, 31"} | Let j = -36 + 70. Suppose j*a = 30*a + 2480. What are the prime factors of a? | 2, 5, 31 |
{"question": "What are the prime factors of 99709052?", "answer": "2, 24927263"} | What are the prime factors of 99709052? | 2, 24927263 |
{"question": "What is 6/9*(-24)/16?", "answer": "-1"} | What is 6/9*(-24)/16? | -1 |
{"question": "Suppose -231 + 2201 = 5*k. Let i = k + -392. Solve 6 = -2*w, -i*c - 2*w + 2 - 12 = 0 for c.", "answer": "-2"} | Suppose -231 + 2201 = 5*k. Let i = k + -392. Solve 6 = -2*w, -i*c - 2*w + 2 - 12 = 0 for c. | -2 |
{"question": "Which is the sixth smallest value? (a) 1/4 (b) -65 (c) -6 (d) -7 (e) 1/20 (f) 2", "answer": "f"} | Which is the sixth smallest value? (a) 1/4 (b) -65 (c) -6 (d) -7 (e) 1/20 (f) 2 | f |
{"question": "Let z(u) = -5*u**3 - 218*u**2 - 338*u - 73. Give z(-42).", "answer": "11"} | Let z(u) = -5*u**3 - 218*u**2 - 338*u - 73. Give z(-42). | 11 |
{"question": "What is the highest common divisor of 23 and 87239?", "answer": "23"} | What is the highest common divisor of 23 and 87239? | 23 |
{"question": "Round -0.000021371 to 7 decimal places.", "answer": "-0.0000214"} | Round -0.000021371 to 7 decimal places. | -0.0000214 |
{"question": "Suppose -3*j = -2*i - 5, 5*j - 7 = -i + 23. Suppose -3*q = -x + 6*x + 6, -5*x + i*q + 10 = 0. Solve n + 3*w = -1, 2*n + 2*w = -x*w + 6 for n.", "answer": "5"} | Suppose -3*j = -2*i - 5, 5*j - 7 = -i + 23. Suppose -3*q = -x + 6*x + 6, -5*x + i*q + 10 = 0. Solve n + 3*w = -1, 2*n + 2*w = -x*w + 6 for n. | 5 |
{"question": "-460 times 47", "answer": "-21620"} | -460 times 47 | -21620 |
{"question": "Suppose -10*t = -17*t + 3234. Does 22 divide t?", "answer": "True"} | Suppose -10*t = -17*t + 3234. Does 22 divide t? | True |
{"question": "Let d = 9.121 - 1.551. Let h = d + -7.9. Let z = h - -0.63. Which is the third biggest value? (a) 3/7 (b) -2 (c) z", "answer": "b"} | Let d = 9.121 - 1.551. Let h = d + -7.9. Let z = h - -0.63. Which is the third biggest value? (a) 3/7 (b) -2 (c) z | b |
{"question": "Rearrange (0*g + 0*g - g)*(-5*g**2 + g**2 + 3*g**2) + 6*g**3 - 3*g**3 - 2*g**3 to the form b*g + x*g**2 + w*g**3 + h and give w.", "answer": "2"} | Rearrange (0*g + 0*g - g)*(-5*g**2 + g**2 + 3*g**2) + 6*g**3 - 3*g**3 - 2*g**3 to the form b*g + x*g**2 + w*g**3 + h and give w. | 2 |
{"question": "Which is greater: -0.1632 or 2/5?", "answer": "2/5"} | Which is greater: -0.1632 or 2/5? | 2/5 |
{"question": "What is the t'th term of -1124, -3908, -8532, -14984, -23252, -33324?", "answer": "2*t**3 - 932*t**2 - 2*t - 192"} | What is the t'th term of -1124, -3908, -8532, -14984, -23252, -33324? | 2*t**3 - 932*t**2 - 2*t - 192 |
{"question": "Is 551171 prime?", "answer": "False"} | Is 551171 prime? | False |
{"question": "What are the prime factors of 1262091?", "answer": "3, 47, 8951"} | What are the prime factors of 1262091? | 3, 47, 8951 |
{"question": "Simplify (k*k**(-2/7))/k**(-25) assuming k is positive.", "answer": "k**(180/7)"} | Simplify (k*k**(-2/7))/k**(-25) assuming k is positive. | k**(180/7) |
{"question": "Suppose 0 = -5*f - 1 + 6. Let s(n) = 39*n**2 - 2*n + 1. Calculate s(f).", "answer": "38"} | Suppose 0 = -5*f - 1 + 6. Let s(n) = 39*n**2 - 2*n + 1. Calculate s(f). | 38 |
{"question": "-1*2/(-2) + 6/(3894/(-413))", "answer": "4/11"} | -1*2/(-2) + 6/(3894/(-413)) | 4/11 |
{"question": "Calculate the common denominator of 79/18 and 59/298.", "answer": "2682"} | Calculate the common denominator of 79/18 and 59/298. | 2682 |
{"question": "Evaluate -15 - -7 - (-24 - -19).", "answer": "-3"} | Evaluate -15 - -7 - (-24 - -19). | -3 |
{"question": "Solve 0 = 5*c + 5*f - 80, -16 = -2*f + 12 for c.", "answer": "2"} | Solve 0 = 5*c + 5*f - 80, -16 = -2*f + 12 for c. | 2 |
{"question": "How many months are there in one tenth of a millennium?", "answer": "1200"} | How many months are there in one tenth of a millennium? | 1200 |
{"question": "Let k = 23642 - 23636.4777. Round k to the nearest integer.", "answer": "6"} | Let k = 23642 - 23636.4777. Round k to the nearest integer. | 6 |
{"question": "Is 277349 composite?", "answer": "True"} | Is 277349 composite? | True |
{"question": "Let i(h) = -9*h - 14. Determine i(-7).", "answer": "49"} | Let i(h) = -9*h - 14. Determine i(-7). | 49 |
{"question": "Let m = -14 - -6. Suppose r - 39 = 2*n + 18, 2*r + 82 = -3*n. Let b be n/m + -3 + 11199/2. Round b to the nearest one thousand.", "answer": "6000"} | Let m = -14 - -6. Suppose r - 39 = 2*n + 18, 2*r + 82 = -3*n. Let b be n/m + -3 + 11199/2. Round b to the nearest one thousand. | 6000 |
{"question": "Suppose -5*i + o = -48, 4*i - o + 4*o - 27 = 0. Let h be (10/6 + -1)/(3/i). Solve z - 1 = h for z.", "answer": "3"} | Suppose -5*i + o = -48, 4*i - o + 4*o - 27 = 0. Let h be (10/6 + -1)/(3/i). Solve z - 1 = h for z. | 3 |
{"question": "Suppose 4*c + 0*c = 2*i - 12, -3*i = -4*c - 8. Let y be 7 - i/(16/(-4)). Suppose -y*v - 10 = -8*v. Does 3 divide v?", "answer": "False"} | Suppose 4*c + 0*c = 2*i - 12, -3*i = -4*c - 8. Let y be 7 - i/(16/(-4)). Suppose -y*v - 10 = -8*v. Does 3 divide v? | False |
{"question": "Two letters picked without replacement from {b: 9, x: 10, p: 1}. What is prob of picking 1 p and 1 b?", "answer": "9/190"} | Two letters picked without replacement from {b: 9, x: 10, p: 1}. What is prob of picking 1 p and 1 b? | 9/190 |
{"question": "Does 29 divide 124867?", "answer": "False"} | Does 29 divide 124867? | False |
{"question": "Let g(p) = -p**2 - p + 8. Let o be g(0). Let w(d) = d**2 + 3*d + 2. Let f be w(-2). Let y = o + f. Calculate the smallest common multiple of 6 and y.", "answer": "24"} | Let g(p) = -p**2 - p + 8. Let o be g(0). Let w(d) = d**2 + 3*d + 2. Let f be w(-2). Let y = o + f. Calculate the smallest common multiple of 6 and y. | 24 |
{"question": "Let n(x) = x + 4. Let f(g) = g + 5. Let i(b) = -3*f(b) + 4*n(b). Determine i(16).", "answer": "17"} | Let n(x) = x + 4. Let f(g) = g + 5. Let i(b) = -3*f(b) + 4*n(b). Determine i(16). | 17 |
{"question": "Expand (-2 + 6 + 3)*(3 - 3 - 1)*(1 + t - 1) + 1 - 1 - t.", "answer": "-8*t"} | Expand (-2 + 6 + 3)*(3 - 3 - 1)*(1 + t - 1) + 1 - 1 - t. | -8*t |
{"question": "Let g(o) = -2*o + 9. Let q be g(6). Let v = -8 - q. Let i = 7 + v. What is the units digit of i?", "answer": "2"} | Let g(o) = -2*o + 9. Let q be g(6). Let v = -8 - q. Let i = 7 + v. What is the units digit of i? | 2 |
{"question": "Does 225 divide 680572?", "answer": "False"} | Does 225 divide 680572? | False |
{"question": "What is prob of sequence dd when two letters picked without replacement from ldddl?", "answer": "3/10"} | What is prob of sequence dd when two letters picked without replacement from ldddl? | 3/10 |
{"question": "What comes next: -2492, -1987, -594, 2131, 6632?", "answer": "13353"} | What comes next: -2492, -1987, -594, 2131, 6632? | 13353 |
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