text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "What is the common denominator of 139/1420920 and -91/19750788?", "answer": "197507880"} | What is the common denominator of 139/1420920 and -91/19750788? | 197507880 |
{"question": "Suppose -16*z + 15160 = -8*z. Is z composite?", "answer": "True"} | Suppose -16*z + 15160 = -8*z. Is z composite? | True |
{"question": "(-22)/10 + (-121)/(-55)", "answer": "0"} | (-22)/10 + (-121)/(-55) | 0 |
{"question": "Let a(t) = t**3 - 10*t**2 + 13*t + 3. What is the units digit of a(9)?", "answer": "9"} | Let a(t) = t**3 - 10*t**2 + 13*t + 3. What is the units digit of a(9)? | 9 |
{"question": "Let f(y) = y**3 - 16*y**2 + 23*y - 366. Let q be f(16). Put 4, -3, 49, q in descending order.", "answer": "49, 4, q, -3"} | Let f(y) = y**3 - 16*y**2 + 23*y - 366. Let q be f(16). Put 4, -3, 49, q in descending order. | 49, 4, q, -3 |
{"question": "What comes next: -97, -134, -197, -286, -401, -542, -709?", "answer": "-902"} | What comes next: -97, -134, -197, -286, -401, -542, -709? | -902 |
{"question": "Suppose 6*p + 4*h = 3*p - 78, -3*h = -2*h. Which is the closest to -2/3? (a) -0.5 (b) -2 (c) p", "answer": "a"} | Suppose 6*p + 4*h = 3*p - 78, -3*h = -2*h. Which is the closest to -2/3? (a) -0.5 (b) -2 (c) p | a |
{"question": "Collect the terms in -11*a**2 - 2*a**2 + 21*a**2 + 374*a**3.", "answer": "374*a**3 + 8*a**2"} | Collect the terms in -11*a**2 - 2*a**2 + 21*a**2 + 374*a**3. | 374*a**3 + 8*a**2 |
{"question": "Let m(n) be the first derivative of 5 + 5*n**2 - 1/3*n**3 - 10*n. What is the units digit of m(8)?", "answer": "6"} | Let m(n) be the first derivative of 5 + 5*n**2 - 1/3*n**3 - 10*n. What is the units digit of m(8)? | 6 |
{"question": "What is 173 minutes after 5:29 PM?", "answer": "8:22 PM"} | What is 173 minutes after 5:29 PM? | 8:22 PM |
{"question": "What is the p'th term of 2709810, 2709804, 2709794, 2709780, 2709762, 2709740, 2709714?", "answer": "-2*p**2 + 2709812"} | What is the p'th term of 2709810, 2709804, 2709794, 2709780, 2709762, 2709740, 2709714? | -2*p**2 + 2709812 |
{"question": "Collect the terms in y**2 + 2*y**2 + 8*y**2 - 10*y**2.", "answer": "y**2"} | Collect the terms in y**2 + 2*y**2 + 8*y**2 - 10*y**2. | y**2 |
{"question": "Suppose 0 = 7*f + 372 - 1128. What is the greatest common factor of f and 135?", "answer": "27"} | Suppose 0 = 7*f + 372 - 1128. What is the greatest common factor of f and 135? | 27 |
{"question": "What is the value of ((-12)/5)/(129/215)?", "answer": "-4"} | What is the value of ((-12)/5)/(129/215)? | -4 |
{"question": "What is the nearest to 281/5 in -2/7, 2/3, 0, 4/11?", "answer": "2/3"} | What is the nearest to 281/5 in -2/7, 2/3, 0, 4/11? | 2/3 |
{"question": "Let t(w) = 42*w**2 - 22*w**2 - 13*w**2 + 7*w + 8 - 8. Suppose -5*s + 2*s - 3 = 0. Let j(o) = -o**2 - o. Determine s*t(u) - 6*j(u).", "answer": "-u**2 - u"} | Let t(w) = 42*w**2 - 22*w**2 - 13*w**2 + 7*w + 8 - 8. Suppose -5*s + 2*s - 3 = 0. Let j(o) = -o**2 - o. Determine s*t(u) - 6*j(u). | -u**2 - u |
{"question": "Product of -100246 and -0.5.", "answer": "50123"} | Product of -100246 and -0.5. | 50123 |
{"question": "Solve 1897 = 113*q + 7208 for q.", "answer": "-47"} | Solve 1897 = 113*q + 7208 for q. | -47 |
{"question": "Let p be (3/5)/(885/2950). Let v(z) be the first derivative of 14 - 4*z + 3/2*z**p. Determine v(4).", "answer": "8"} | Let p be (3/5)/(885/2950). Let v(z) be the first derivative of 14 - 4*z + 3/2*z**p. Determine v(4). | 8 |
{"question": "Suppose -2*x - 7 = -3*h, 4*h - 6*x = -x. Let f(d) = d**3 - 9*d**2 + 9*d - 11. Let j be f(8). Put j, -5, h in increasing order.", "answer": "-5, j, h"} | Suppose -2*x - 7 = -3*h, 4*h - 6*x = -x. Let f(d) = d**3 - 9*d**2 + 9*d - 11. Let j be f(8). Put j, -5, h in increasing order. | -5, j, h |
{"question": "Which is greater: -3/5668 or -1?", "answer": "-3/5668"} | Which is greater: -3/5668 or -1? | -3/5668 |
{"question": "Differentiate 2*v**3 - 922031*v**2 - 31752133 with respect to v.", "answer": "6*v**2 - 1844062*v"} | Differentiate 2*v**3 - 922031*v**2 - 31752133 with respect to v. | 6*v**2 - 1844062*v |
{"question": "Express -45*t + 3 + 10*t**2 - 48*t - 4*t**2 + 152*t - 52*t in the form b*t + w*t**2 + j and give w.", "answer": "6"} | Express -45*t + 3 + 10*t**2 - 48*t - 4*t**2 + 152*t - 52*t in the form b*t + w*t**2 + j and give w. | 6 |
{"question": "Which is smaller: 195703221 or 195703222?", "answer": "195703221"} | Which is smaller: 195703221 or 195703222? | 195703221 |
{"question": "-4 divided by -183", "answer": "4/183"} | -4 divided by -183 | 4/183 |
{"question": "What is prob of sequence sz when two letters picked without replacement from {z: 4, s: 6}?", "answer": "4/15"} | What is prob of sequence sz when two letters picked without replacement from {z: 4, s: 6}? | 4/15 |
{"question": "Four letters picked without replacement from oooqocqqooqqo. Give prob of picking 1 c, 1 q, and 2 o.", "answer": "21/143"} | Four letters picked without replacement from oooqocqqooqqo. Give prob of picking 1 c, 1 q, and 2 o. | 21/143 |
{"question": "What is the square root of 524564 to the nearest integer?", "answer": "724"} | What is the square root of 524564 to the nearest integer? | 724 |
{"question": "Suppose -12 = -3*j + 2*h, 3*h + 3 = -5*j + 2*j. Suppose 28 = 4*l + j*p, 2*l + p = -p + 18. Which is bigger: l or 2?", "answer": "l"} | Suppose -12 = -3*j + 2*h, 3*h + 3 = -5*j + 2*j. Suppose 28 = 4*l + j*p, 2*l + p = -p + 18. Which is bigger: l or 2? | l |
{"question": "What is 131292980 divided by -360695?", "answer": "-364"} | What is 131292980 divided by -360695? | -364 |
{"question": "How many minutes are there between 12:50 AM and 10:37 AM?", "answer": "587"} | How many minutes are there between 12:50 AM and 10:37 AM? | 587 |
{"question": "What is the f'th term of 89, 91, 93, 95, 97?", "answer": "2*f + 87"} | What is the f'th term of 89, 91, 93, 95, 97? | 2*f + 87 |
{"question": "Simplify ((t*t**(-26))/t*(t**18/t)/t)/(t**(-6/13))**3 assuming t is positive.", "answer": "t**(-112/13)"} | Simplify ((t*t**(-26))/t*(t**18/t)/t)/(t**(-6/13))**3 assuming t is positive. | t**(-112/13) |
{"question": "Which is greater: 590 or 591?", "answer": "591"} | Which is greater: 590 or 591? | 591 |
{"question": "What is the next term in 0, 12, 36, 78, 144, 240, 372, 546?", "answer": "768"} | What is the next term in 0, 12, 36, 78, 144, 240, 372, 546? | 768 |
{"question": "What is 211444 to the power of 1/4, to the nearest integer?", "answer": "21"} | What is 211444 to the power of 1/4, to the nearest integer? | 21 |
{"question": "Suppose 9*x = 7 - 61. Let w(t) = -t**3 - 7*t**2 - 4*t + 8. Determine w(x).", "answer": "-4"} | Suppose 9*x = 7 - 61. Let w(t) = -t**3 - 7*t**2 - 4*t + 8. Determine w(x). | -4 |
{"question": "Let o(m) = 4*m**2 - 10*m - 1. Let v(f) = -2*f**2 + 5*f. Let c(x) = 4*o(x) + 7*v(x). Let a(w) = 4*w**2 - 9*w - 7. Determine -6*a(j) + 11*c(j).", "answer": "-2*j**2 - j - 2"} | Let o(m) = 4*m**2 - 10*m - 1. Let v(f) = -2*f**2 + 5*f. Let c(x) = 4*o(x) + 7*v(x). Let a(w) = 4*w**2 - 9*w - 7. Determine -6*a(j) + 11*c(j). | -2*j**2 - j - 2 |
{"question": "What is the tens digit of (119/51)/(1/33)?", "answer": "7"} | What is the tens digit of (119/51)/(1/33)? | 7 |
{"question": "Suppose 20*m + 3402 = 47*m. Calculate the greatest common factor of 6678 and m.", "answer": "126"} | Suppose 20*m + 3402 = 47*m. Calculate the greatest common factor of 6678 and m. | 126 |
{"question": "What is ((-1)/(-6))/((-37)/((-24198)/109))?", "answer": "1"} | What is ((-1)/(-6))/((-37)/((-24198)/109))? | 1 |
{"question": "Calculate 1054*-2.8748.", "answer": "-3030.0392"} | Calculate 1054*-2.8748. | -3030.0392 |
{"question": "Calculate the remainder when 30342 is divided by 24.", "answer": "6"} | Calculate the remainder when 30342 is divided by 24. | 6 |
{"question": "Calculate -20 + -4 + 23 + 27.", "answer": "26"} | Calculate -20 + -4 + 23 + 27. | 26 |
{"question": "How many minutes are there between 9:55 AM and 6:17 PM?", "answer": "502"} | How many minutes are there between 9:55 AM and 6:17 PM? | 502 |
{"question": "Is 48166753 prime?", "answer": "True"} | Is 48166753 prime? | True |
{"question": "Let l = 29.034 - 0.034. Let v = l + -29.3. Let u = -14.6 + 14.9. Put v, -2.4, u in descending order.", "answer": "u, v, -2.4"} | Let l = 29.034 - 0.034. Let v = l + -29.3. Let u = -14.6 + 14.9. Put v, -2.4, u in descending order. | u, v, -2.4 |
{"question": "What is the next term in -680, -1005, -1330?", "answer": "-1655"} | What is the next term in -680, -1005, -1330? | -1655 |
{"question": "Let a(h) = 7*h**2 - 9*h + 7. Let s(p) = -4 + 4*p - 6*p**2 + 4*p - 2. Suppose 6*y - 3*y = -15. Let g(c) = y*s(c) - 4*a(c). Determine x, given that g(x) = 0.", "answer": "1"} | Let a(h) = 7*h**2 - 9*h + 7. Let s(p) = -4 + 4*p - 6*p**2 + 4*p - 2. Suppose 6*y - 3*y = -15. Let g(c) = y*s(c) - 4*a(c). Determine x, given that g(x) = 0. | 1 |
{"question": "Suppose 0 = o - 0 - 4. Let v be 8*(3 - 2) + -2. Suppose -s - v + o = 0. Put 5, 4, s in descending order.", "answer": "5, 4, s"} | Suppose 0 = o - 0 - 4. Let v be 8*(3 - 2) + -2. Suppose -s - v + o = 0. Put 5, 4, s in descending order. | 5, 4, s |
{"question": "Suppose -7*i + 34 = -22. Suppose i = 3*p + 2. Suppose -p*x - 4 = 0, -f + 5*x = x - 17. List the prime factors of f.", "answer": "3"} | Suppose -7*i + 34 = -22. Suppose i = 3*p + 2. Suppose -p*x - 4 = 0, -f + 5*x = x - 17. List the prime factors of f. | 3 |
{"question": "Which is smaller: -523 or -524?", "answer": "-524"} | Which is smaller: -523 or -524? | -524 |
{"question": "Let p = 0.25 + 0.01. Let g = 0.184 - p. What is g rounded to two dps?", "answer": "-0.08"} | Let p = 0.25 + 0.01. Let g = 0.184 - p. What is g rounded to two dps? | -0.08 |
{"question": "What are the prime factors of 309324?", "answer": "2, 3, 149, 173"} | What are the prime factors of 309324? | 2, 3, 149, 173 |
{"question": "What is 272/(-425)*4/6*405/108?", "answer": "-8/5"} | What is 272/(-425)*4/6*405/108? | -8/5 |
{"question": "Let x(i) be the second derivative of -243*i**8/8 + 46*i**4/3 + 5*i**3/6 + 93*i - 3. Find the third derivative of x(p) wrt p.", "answer": "-204120*p**3"} | Let x(i) be the second derivative of -243*i**8/8 + 46*i**4/3 + 5*i**3/6 + 93*i - 3. Find the third derivative of x(p) wrt p. | -204120*p**3 |
{"question": "Let a(f) = -6*f - 93. Let c(m) = 6*m + 102. Let s(y) = 6*a(y) + 5*c(y). Give s(-8).", "answer": "0"} | Let a(f) = -6*f - 93. Let c(m) = 6*m + 102. Let s(y) = 6*a(y) + 5*c(y). Give s(-8). | 0 |
{"question": "-2 (base 4) to base 8", "answer": "-2"} | -2 (base 4) to base 8 | -2 |
{"question": "Calculate prob of sequence xeo when three letters picked without replacement from {e: 1, w: 3, x: 3, n: 1, o: 6}.", "answer": "3/364"} | Calculate prob of sequence xeo when three letters picked without replacement from {e: 1, w: 3, x: 3, n: 1, o: 6}. | 3/364 |
{"question": "Expand -4*n**2 + 2*n**2 + 0*n**2 + (2*n + n + 0*n)*(-17*n + 16*n - 18*n).", "answer": "-59*n**2"} | Expand -4*n**2 + 2*n**2 + 0*n**2 + (2*n + n + 0*n)*(-17*n + 16*n - 18*n). | -59*n**2 |
{"question": "Let x = 281.19 + -280. Let s = x + -1.16. Let v be ((-10)/15)/(16/18). What is the third biggest value in s, -1/5, v?", "answer": "v"} | Let x = 281.19 + -280. Let s = x + -1.16. Let v be ((-10)/15)/(16/18). What is the third biggest value in s, -1/5, v? | v |
{"question": "What is the third derivative of -44*m + 44*m + 4*m**2 - 3*m**4 wrt m?", "answer": "-72*m"} | What is the third derivative of -44*m + 44*m + 4*m**2 - 3*m**4 wrt m? | -72*m |
{"question": "In base 8, what is -14 + 463?", "answer": "447"} | In base 8, what is -14 + 463? | 447 |
{"question": "Suppose 12 = j - 2*a, 5*j + 5*a + 15 = -0*a. Let y be (2/(-8))/((-30)/48). Is y <= j?", "answer": "True"} | Suppose 12 = j - 2*a, 5*j + 5*a + 15 = -0*a. Let y be (2/(-8))/((-30)/48). Is y <= j? | True |
{"question": "How many micrometers are there in three eighths of a centimeter?", "answer": "3750"} | How many micrometers are there in three eighths of a centimeter? | 3750 |
{"question": "Calculate 38*(-57)/(-152)*4/3.", "answer": "19"} | Calculate 38*(-57)/(-152)*4/3. | 19 |
{"question": "Suppose 0*j + j = 473. Suppose -5*m - 5*h + j + 2 = 0, h + 269 = 3*m. Suppose -4*k = -12, 4*c + c + 2*k = m. Which is greater: c or 15?", "answer": "c"} | Suppose 0*j + j = 473. Suppose -5*m - 5*h + j + 2 = 0, h + 269 = 3*m. Suppose -4*k = -12, 4*c + c + 2*k = m. Which is greater: c or 15? | c |
{"question": "Let q(z) be the third derivative of -z**5/90 - 77*z**4/36 + 196*z**3/3 - 3810*z**2. Factor q(c).", "answer": "-2*(c - 7)*(c + 84)/3"} | Let q(z) be the third derivative of -z**5/90 - 77*z**4/36 + 196*z**3/3 - 3810*z**2. Factor q(c). | -2*(c - 7)*(c + 84)/3 |
{"question": "Suppose -65*t + 706960 - 425341 = -1624766. What are the prime factors of t?", "answer": "139, 211"} | Suppose -65*t + 706960 - 425341 = -1624766. What are the prime factors of t? | 139, 211 |
{"question": "What is 7/4 of a litre in millilitres?", "answer": "1750"} | What is 7/4 of a litre in millilitres? | 1750 |
{"question": "What is next in -1690, -2158, -2626, -3094, -3562, -4030?", "answer": "-4498"} | What is next in -1690, -2158, -2626, -3094, -3562, -4030? | -4498 |
{"question": "Simplify (q**(1/13)*q**1)**(-19)*(((q*q*((q/q**(-2/7))/q)/q*q*q)/q)**(-1/34))**(-15) assuming q is positive.", "answer": "q**(-30094/1547)"} | Simplify (q**(1/13)*q**1)**(-19)*(((q*q*((q/q**(-2/7))/q)/q*q*q)/q)**(-1/34))**(-15) assuming q is positive. | q**(-30094/1547) |
{"question": "Calculate the smallest common multiple of 1140 and 8.", "answer": "2280"} | Calculate the smallest common multiple of 1140 and 8. | 2280 |
{"question": "Suppose 0 = 3*y + 2*q + 307, q - 2*q - 206 = 2*y. Let z = 188 + y. Is z a prime number?", "answer": "True"} | Suppose 0 = 3*y + 2*q + 307, q - 2*q - 206 = 2*y. Let z = 188 + y. Is z a prime number? | True |
{"question": "What is the m'th term of 42, 268, 732, 1506, 2662?", "answer": "12*m**3 + 47*m**2 + m - 18"} | What is the m'th term of 42, 268, 732, 1506, 2662? | 12*m**3 + 47*m**2 + m - 18 |
{"question": "Let h(l) = l**3 + 10*l**2 - l - 7. Let n be h(-10). Solve -n*o - 8 = 1 for o.", "answer": "-3"} | Let h(l) = l**3 + 10*l**2 - l - 7. Let n be h(-10). Solve -n*o - 8 = 1 for o. | -3 |
{"question": "Which is the closest to 2/9? (a) -1/3 (b) 2/5 (c) 3", "answer": "b"} | Which is the closest to 2/9? (a) -1/3 (b) 2/5 (c) 3 | b |
{"question": "Calculate 104 divided by -13.", "answer": "-8"} | Calculate 104 divided by -13. | -8 |
{"question": "Collect the terms in 5*y + 29*y**2 - 5*y.", "answer": "29*y**2"} | Collect the terms in 5*y + 29*y**2 - 5*y. | 29*y**2 |
{"question": "What is the remainder when 78715 is divided by 8745?", "answer": "10"} | What is the remainder when 78715 is divided by 8745? | 10 |
{"question": "Two letters picked without replacement from {i: 5, u: 8}. What is prob of picking 1 i and 1 u?", "answer": "20/39"} | Two letters picked without replacement from {i: 5, u: 8}. What is prob of picking 1 i and 1 u? | 20/39 |
{"question": "In base 8, what is 12 + -4404?", "answer": "-4372"} | In base 8, what is 12 + -4404? | -4372 |
{"question": "Suppose -4*z + 4*r + 0*r + 8 = 0, 4*z = -2*r + 26. Suppose 3*s - 6*i = -z*i + 173, i = 4. What is the tens digit of s?", "answer": "5"} | Suppose -4*z + 4*r + 0*r + 8 = 0, 4*z = -2*r + 26. Suppose 3*s - 6*i = -z*i + 173, i = 4. What is the tens digit of s? | 5 |
{"question": "Let a(r) = 7721*r - 40. Let s be a(6). Suppose 2*k - 4*o = s, o + 46277 = 6*k - 4*k. Is k a composite number?", "answer": "True"} | Let a(r) = 7721*r - 40. Let s be a(6). Suppose 2*k - 4*o = s, o + 46277 = 6*k - 4*k. Is k a composite number? | True |
{"question": "What is 733672 to the power of 1/2, to the nearest integer?", "answer": "857"} | What is 733672 to the power of 1/2, to the nearest integer? | 857 |
{"question": "What is 3.944248 litres in millilitres?", "answer": "3944.248"} | What is 3.944248 litres in millilitres? | 3944.248 |
{"question": "Determine x so that -3*x**4 - 30*x**3 - 72*x**2 = 0.", "answer": "-6, -4, 0"} | Determine x so that -3*x**4 - 30*x**3 - 72*x**2 = 0. | -6, -4, 0 |
{"question": "Two letters picked without replacement from ayacyyayayyayyyay. What is prob of picking 1 a and 1 y?", "answer": "15/34"} | Two letters picked without replacement from ayacyyayayyayyyay. What is prob of picking 1 a and 1 y? | 15/34 |
{"question": "4/(-3)*(-11 + (-550)/(-44))", "answer": "-2"} | 4/(-3)*(-11 + (-550)/(-44)) | -2 |
{"question": "Let i be 1*4/(-14) - 72/(-7). Suppose -i + 5 = -j. Suppose j*k - k - 2*k = 0. Solve -l + k*l = -2 for l.", "answer": "2"} | Let i be 1*4/(-14) - 72/(-7). Suppose -i + 5 = -j. Suppose j*k - k - 2*k = 0. Solve -l + k*l = -2 for l. | 2 |
{"question": "Divide 5 by 145236.", "answer": "5/145236"} | Divide 5 by 145236. | 5/145236 |
{"question": "Let t = -5 + 7. Let u(o) = 2*o**t + 4*o**3 - 2*o + 1 - 15*o**3 + 3*o**3. Determine u(1).", "answer": "-7"} | Let t = -5 + 7. Let u(o) = 2*o**t + 4*o**3 - 2*o + 1 - 15*o**3 + 3*o**3. Determine u(1). | -7 |
{"question": "Expand 7*s + 15*s + 73*s + (3*s - s + 0*s)*(-2 - 1 + 4) + (2*s + s - s)*(3 - 4 + 2) + 5*s - s - 2*s.", "answer": "101*s"} | Expand 7*s + 15*s + 73*s + (3*s - s + 0*s)*(-2 - 1 + 4) + (2*s + s - s)*(3 - 4 + 2) + 5*s - s - 2*s. | 101*s |
{"question": "Suppose 2*y + 5*d - 22 = 0, 4*d = -3*y - d + 33. Let o = 12 - y. Let v(w) = -w**2 + 1. Let g be v(o). Is 2/9 at most as big as g?", "answer": "False"} | Suppose 2*y + 5*d - 22 = 0, 4*d = -3*y - d + 33. Let o = 12 - y. Let v(w) = -w**2 + 1. Let g be v(o). Is 2/9 at most as big as g? | False |
{"question": "What is 446 minutes before 12:42 AM?", "answer": "5:16 PM"} | What is 446 minutes before 12:42 AM? | 5:16 PM |
{"question": "What is 30 + 1 - (-256452)/(-8256)?", "answer": "-1/16"} | What is 30 + 1 - (-256452)/(-8256)? | -1/16 |
{"question": "What are the prime factors of 107004311?", "answer": "2917, 36683"} | What are the prime factors of 107004311? | 2917, 36683 |
{"question": "What is the next term in 223, 447, 671, 895, 1119, 1343?", "answer": "1567"} | What is the next term in 223, 447, 671, 895, 1119, 1343? | 1567 |
{"question": "What is -16 - (4/112 - (-4)/(-14) - 55/(-220))?", "answer": "-16"} | What is -16 - (4/112 - (-4)/(-14) - 55/(-220))? | -16 |
{"question": "Round 0.00850231 to 3 decimal places.", "answer": "0.009"} | Round 0.00850231 to 3 decimal places. | 0.009 |
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