text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "Find the second derivative of 2*q*t**4 - 62907176*q*t - 21802*t**4 + 2842*t**2 - 4*t wrt t.", "answer": "24*q*t**2 - 261624*t**2 + 5684"} | Find the second derivative of 2*q*t**4 - 62907176*q*t - 21802*t**4 + 2842*t**2 - 4*t wrt t. | 24*q*t**2 - 261624*t**2 + 5684 |
{"question": "Rearrange (-s**3 + 0 + 0)*(-2*s + 2*s - s) + 20*s**4 - 8*s**4 - 7*s**4 to the form z*s**3 + l + c*s + y*s**2 + i*s**4 and give i.", "answer": "6"} | Rearrange (-s**3 + 0 + 0)*(-2*s + 2*s - s) + 20*s**4 - 8*s**4 - 7*s**4 to the form z*s**3 + l + c*s + y*s**2 + i*s**4 and give i. | 6 |
{"question": "Suppose 0 = 2*q + 3*j - 8, -6*q + 3*q + j + 12 = 0. Suppose 0 = n + q*n - 5. What is the remainder when n is divided by 1?", "answer": "0"} | Suppose 0 = 2*q + 3*j - 8, -6*q + 3*q + j + 12 = 0. Suppose 0 = n + q*n - 5. What is the remainder when n is divided by 1? | 0 |
{"question": "Let f(m) be the third derivative of -1/6*m**3 + 0*m + 0 - 3/8*m**8 + 0*m**6 - 32*m**2 + 1/24*m**4 + 0*m**5 + 0*m**7. Find the second derivative of f(x) wrt x.", "answer": "-2520*x**3"} | Let f(m) be the third derivative of -1/6*m**3 + 0*m + 0 - 3/8*m**8 + 0*m**6 - 32*m**2 + 1/24*m**4 + 0*m**5 + 0*m**7. Find the second derivative of f(x) wrt x. | -2520*x**3 |
{"question": "Let z be 8/5*15/2. Suppose i**2 + 17*i**2 + z*i + 4 + 5*i**3 - 2 + 3*i**3 = 0. What is i?", "answer": "-1, -1/4"} | Let z be 8/5*15/2. Suppose i**2 + 17*i**2 + z*i + 4 + 5*i**3 - 2 + 3*i**3 = 0. What is i? | -1, -1/4 |
{"question": "What is prob of sequence xd when two letters picked without replacement from {x: 2, o: 1, d: 1}?", "answer": "1/6"} | What is prob of sequence xd when two letters picked without replacement from {x: 2, o: 1, d: 1}? | 1/6 |
{"question": "What is prob of sequence sxl when three letters picked without replacement from {l: 1, x: 1, s: 1, w: 1, r: 1, p: 2}?", "answer": "1/210"} | What is prob of sequence sxl when three letters picked without replacement from {l: 1, x: 1, s: 1, w: 1, r: 1, p: 2}? | 1/210 |
{"question": "Let j = -108 - -112. Sort 2, j, 5, -6.", "answer": "-6, 2, j, 5"} | Let j = -108 - -112. Sort 2, j, 5, -6. | -6, 2, j, 5 |
{"question": "Calculate 1 divided by 4795.", "answer": "1/4795"} | Calculate 1 divided by 4795. | 1/4795 |
{"question": "Factor 2*x**3/5 - 8*x/5.", "answer": "2*x*(x - 2)*(x + 2)/5"} | Factor 2*x**3/5 - 8*x/5. | 2*x*(x - 2)*(x + 2)/5 |
{"question": "Let w(b) = 20*b - 5. Let p = 1841 + -1846. Let m(x) = -39*x + 9. Determine p*m(l) - 9*w(l).", "answer": "15*l"} | Let w(b) = 20*b - 5. Let p = 1841 + -1846. Let m(x) = -39*x + 9. Determine p*m(l) - 9*w(l). | 15*l |
{"question": "What is prob of picking 2 u when two letters picked without replacement from {r: 2, o: 6, u: 3, x: 4, d: 1, z: 2}?", "answer": "1/51"} | What is prob of picking 2 u when two letters picked without replacement from {r: 2, o: 6, u: 3, x: 4, d: 1, z: 2}? | 1/51 |
{"question": "What is the next term in -3812, -7616, -11430, -15260, -19112, -22992?", "answer": "-26906"} | What is the next term in -3812, -7616, -11430, -15260, -19112, -22992? | -26906 |
{"question": "Which is the smallest value? (a) 72 (b) 2/9 (c) -0.3 (d) -9/13", "answer": "d"} | Which is the smallest value? (a) 72 (b) 2/9 (c) -0.3 (d) -9/13 | d |
{"question": "Let f(z) = 2*z**2 + 4*z + 3. Let q be f(-2). Let x = -372239 - -372251. Solve q*n - x = 0, -3*n - 2*n = s - 23 for s.", "answer": "3"} | Let f(z) = 2*z**2 + 4*z + 3. Let q be f(-2). Let x = -372239 - -372251. Solve q*n - x = 0, -3*n - 2*n = s - 23 for s. | 3 |
{"question": "What is the next term in -308, -355, -442, -581, -784?", "answer": "-1063"} | What is the next term in -308, -355, -442, -581, -784? | -1063 |
{"question": "How many minutes are there between 1:15 PM and 4:01 PM?", "answer": "166"} | How many minutes are there between 1:15 PM and 4:01 PM? | 166 |
{"question": "Let j = 1029 - 1172.14. Let a = 143 + j. What is a rounded to one decimal place?", "answer": "-0.1"} | Let j = 1029 - 1172.14. Let a = 143 + j. What is a rounded to one decimal place? | -0.1 |
{"question": "What is -300 divided by -4?", "answer": "75"} | What is -300 divided by -4? | 75 |
{"question": "Let f(t) = -t**2 + 8*t - 9. Let c be f(6). Suppose 3*h - 5*r = -r + 30, -5*h = -c*r - 61. Find the second derivative of 10*q**5 + h - 14 - 14*q wrt q.", "answer": "200*q**3"} | Let f(t) = -t**2 + 8*t - 9. Let c be f(6). Suppose 3*h - 5*r = -r + 30, -5*h = -c*r - 61. Find the second derivative of 10*q**5 + h - 14 - 14*q wrt q. | 200*q**3 |
{"question": "Collect the terms in -113*t**2 + 734 - 2140 - 22*t**2 + 669 + 737.", "answer": "-135*t**2"} | Collect the terms in -113*t**2 + 734 - 2140 - 22*t**2 + 669 + 737. | -135*t**2 |
{"question": "Let n = 406000 - 58464427/144. Let s = -11/16 - n. Let j = -2122 - -25441/12. Calculate the common denominator of j and s.", "answer": "36"} | Let n = 406000 - 58464427/144. Let s = -11/16 - n. Let j = -2122 - -25441/12. Calculate the common denominator of j and s. | 36 |
{"question": "Is 11994769 a prime number?", "answer": "False"} | Is 11994769 a prime number? | False |
{"question": "Sort 1, -56, -2, -5, 72 in increasing order.", "answer": "-56, -5, -2, 1, 72"} | Sort 1, -56, -2, -5, 72 in increasing order. | -56, -5, -2, 1, 72 |
{"question": "Find the third derivative of -12348*a*s**4 - 49601*a*s**2 + 4*s**4 + 367*s**3 - 1590*s**2 wrt s.", "answer": "-296352*a*s + 96*s + 2202"} | Find the third derivative of -12348*a*s**4 - 49601*a*s**2 + 4*s**4 + 367*s**3 - 1590*s**2 wrt s. | -296352*a*s + 96*s + 2202 |
{"question": "What comes next: 904528087, 904528088, 904528089?", "answer": "904528090"} | What comes next: 904528087, 904528088, 904528089? | 904528090 |
{"question": "How many micrometers are there in 5.479701mm?", "answer": "5479.701"} | How many micrometers are there in 5.479701mm? | 5479.701 |
{"question": "Put 5, 0.3, -3092 in decreasing order.", "answer": "5, 0.3, -3092"} | Put 5, 0.3, -3092 in decreasing order. | 5, 0.3, -3092 |
{"question": "What is 0.00389151528 rounded to 7 dps?", "answer": "0.0038915"} | What is 0.00389151528 rounded to 7 dps? | 0.0038915 |
{"question": "Put 1/4, -2, 521 in decreasing order.", "answer": "521, 1/4, -2"} | Put 1/4, -2, 521 in decreasing order. | 521, 1/4, -2 |
{"question": "Is 31084114 a multiple of 2546?", "answer": "True"} | Is 31084114 a multiple of 2546? | True |
{"question": "What is the nearest to 0.3 in -0.4, 0.14, -7.71?", "answer": "0.14"} | What is the nearest to 0.3 in -0.4, 0.14, -7.71? | 0.14 |
{"question": "Let d = 76 + -41. Suppose 32*x - d*x = -753. What are the prime factors of x?", "answer": "251"} | Let d = 76 + -41. Suppose 32*x - d*x = -753. What are the prime factors of x? | 251 |
{"question": "Suppose 3 + 4 = 2*w + a, 0 = 3*w - 4*a - 16. Suppose 12 = -k + w*k. Let t be (2/(-6))/(-1 - 64/(-60)). Put -2, k, t in ascending order.", "answer": "t, -2, k"} | Suppose 3 + 4 = 2*w + a, 0 = 3*w - 4*a - 16. Suppose 12 = -k + w*k. Let t be (2/(-6))/(-1 - 64/(-60)). Put -2, k, t in ascending order. | t, -2, k |
{"question": "Is 4/1527 < -2.66?", "answer": "False"} | Is 4/1527 < -2.66? | False |
{"question": "What is the biggest value in -29, -5, -0.05, 2/15, 0.4?", "answer": "0.4"} | What is the biggest value in -29, -5, -0.05, 2/15, 0.4? | 0.4 |
{"question": "What is the next term in -2605662, -2605666, -2605672, -2605680, -2605690?", "answer": "-2605702"} | What is the next term in -2605662, -2605666, -2605672, -2605680, -2605690? | -2605702 |
{"question": "Factor -u**4 - 11*u**3/9 + 52*u**2/9 + 4*u/3.", "answer": "-u*(u - 2)*(u + 3)*(9*u + 2)/9"} | Factor -u**4 - 11*u**3/9 + 52*u**2/9 + 4*u/3. | -u*(u - 2)*(u + 3)*(9*u + 2)/9 |
{"question": "What is the nearest to 0.41 in 0.2, 2.6, 16?", "answer": "0.2"} | What is the nearest to 0.41 in 0.2, 2.6, 16? | 0.2 |
{"question": "How many minutes are there between 8:07 PM and 4:15 AM?", "answer": "488"} | How many minutes are there between 8:07 PM and 4:15 AM? | 488 |
{"question": "In base 16, what is a388 + 5?", "answer": "a38d"} | In base 16, what is a388 + 5? | a38d |
{"question": "What is the closest to 3/2 in 19, -3/5, 2/5?", "answer": "2/5"} | What is the closest to 3/2 in 19, -3/5, 2/5? | 2/5 |
{"question": "Express (-2 + 5 - 1)*(43*u + 45*u - 11*u) in the form s + m*u and give m.", "answer": "154"} | Express (-2 + 5 - 1)*(43*u + 45*u - 11*u) in the form s + m*u and give m. | 154 |
{"question": "Solve -6 = -3*t, 3*k + 4*t - 5*t = -8 for k.", "answer": "-2"} | Solve -6 = -3*t, 3*k + 4*t - 5*t = -8 for k. | -2 |
{"question": "How many centimeters are there in 3.56869 meters?", "answer": "356.869"} | How many centimeters are there in 3.56869 meters? | 356.869 |
{"question": "Is 19821637 composite?", "answer": "True"} | Is 19821637 composite? | True |
{"question": "What is the units digit of 900?", "answer": "0"} | What is the units digit of 900? | 0 |
{"question": "Find the third derivative of -4002032*j**3 - 2893086*j**2 + 2*j.", "answer": "-24012192"} | Find the third derivative of -4002032*j**3 - 2893086*j**2 + 2*j. | -24012192 |
{"question": "Suppose 12*u - 7*u - 20 = 0. Let b(t) = -16 + u*t**2 + 19 - t - 2*t**2 + 6*t. Give b(-3).", "answer": "6"} | Suppose 12*u - 7*u - 20 = 0. Let b(t) = -16 + u*t**2 + 19 - t - 2*t**2 + 6*t. Give b(-3). | 6 |
{"question": "What is -13351566 (base 8) in base 3?", "answer": "-12122120200122"} | What is -13351566 (base 8) in base 3? | -12122120200122 |
{"question": "Calculate -381706 divided by 3.", "answer": "-381706/3"} | Calculate -381706 divided by 3. | -381706/3 |
{"question": "Factor -4/5*i + 0 - 6/5*i**2 - 2/5*i**3.", "answer": "-2*i*(i + 1)*(i + 2)/5"} | Factor -4/5*i + 0 - 6/5*i**2 - 2/5*i**3. | -2*i*(i + 1)*(i + 2)/5 |
{"question": "What is the ten thousands digit of 218852?", "answer": "1"} | What is the ten thousands digit of 218852? | 1 |
{"question": "What is the j'th term of 282, 222, 162, 102, 42, -18?", "answer": "-60*j + 342"} | What is the j'th term of 282, 222, 162, 102, 42, -18? | -60*j + 342 |
{"question": "Let z = -3 + 9. What is the second derivative of z*i**2 + 0*i**2 - i - 4*i**2 wrt i?", "answer": "4"} | Let z = -3 + 9. What is the second derivative of z*i**2 + 0*i**2 - i - 4*i**2 wrt i? | 4 |
{"question": "What is 97377 to the power of 1/4, to the nearest integer?", "answer": "18"} | What is 97377 to the power of 1/4, to the nearest integer? | 18 |
{"question": "Three letters picked without replacement from nvenqvegf. Give prob of picking 1 q and 2 v.", "answer": "1/84"} | Three letters picked without replacement from nvenqvegf. Give prob of picking 1 q and 2 v. | 1/84 |
{"question": "What is the lowest common multiple of 50 and 156465?", "answer": "1564650"} | What is the lowest common multiple of 50 and 156465? | 1564650 |
{"question": "Suppose -4*b = -12, 22*b = -5*a + 21*b + 6053. What is the hundreds digit of a?", "answer": "2"} | Suppose -4*b = -12, 22*b = -5*a + 21*b + 6053. What is the hundreds digit of a? | 2 |
{"question": "Is 1891 composite?", "answer": "True"} | Is 1891 composite? | True |
{"question": "Find the common denominator of -61/762 and -49/200072.", "answer": "76227432"} | Find the common denominator of -61/762 and -49/200072. | 76227432 |
{"question": "Which is the closest to -5/3? (a) 0.1 (b) -15 (c) -2 (d) 2/3 (e) 43", "answer": "c"} | Which is the closest to -5/3? (a) 0.1 (b) -15 (c) -2 (d) 2/3 (e) 43 | c |
{"question": "Divide 4597364 by 3.", "answer": "4597364/3"} | Divide 4597364 by 3. | 4597364/3 |
{"question": "Calculate the remainder when 7719174 is divided by 133089.", "answer": "12"} | Calculate the remainder when 7719174 is divided by 133089. | 12 |
{"question": "What is next in -15, -32, -49, -66, -83?", "answer": "-100"} | What is next in -15, -32, -49, -66, -83? | -100 |
{"question": "Let d = 508/5 - 101. Let w = 37/247 + 62/1235. Factor -2/5 + 1/5*l**2 - 3/5*l + d*l**3 + w*l**4.", "answer": "(l - 1)*(l + 1)**2*(l + 2)/5"} | Let d = 508/5 - 101. Let w = 37/247 + 62/1235. Factor -2/5 + 1/5*l**2 - 3/5*l + d*l**3 + w*l**4. | (l - 1)*(l + 1)**2*(l + 2)/5 |
{"question": "Let o(y) = -507*y**2 + 1069*y - 27. Let n(z) = 254*z**2 - 533*z + 15. Let s(r) = -9*n(r) - 5*o(r). Find the second derivative of s(l) wrt l.", "answer": "498"} | Let o(y) = -507*y**2 + 1069*y - 27. Let n(z) = 254*z**2 - 533*z + 15. Let s(r) = -9*n(r) - 5*o(r). Find the second derivative of s(l) wrt l. | 498 |
{"question": "Round -0.000038202865 to 7 dps.", "answer": "-0.0000382"} | Round -0.000038202865 to 7 dps. | -0.0000382 |
{"question": "What is the square root of 141351981 to the nearest integer?", "answer": "11889"} | What is the square root of 141351981 to the nearest integer? | 11889 |
{"question": "Round -178.984 to zero dps.", "answer": "-179"} | Round -178.984 to zero dps. | -179 |
{"question": "Let w = 102 - 102. Let i be w - (-5)/(-3)*33/(-44). Let k = 1 + 4. Which is the biggest value? (a) -0.1 (b) i (c) k", "answer": "c"} | Let w = 102 - 102. Let i be w - (-5)/(-3)*33/(-44). Let k = 1 + 4. Which is the biggest value? (a) -0.1 (b) i (c) k | c |
{"question": "Let r(l) = 19*l - 29. Let g(w) = 7*w - 10. Let k(s) = -8*g(s) + 3*r(s). Let o(v) = -2*v + 13. Calculate 5*k(j) + 3*o(j).", "answer": "-j + 4"} | Let r(l) = 19*l - 29. Let g(w) = 7*w - 10. Let k(s) = -8*g(s) + 3*r(s). Let o(v) = -2*v + 13. Calculate 5*k(j) + 3*o(j). | -j + 4 |
{"question": "Is 93770023 a composite number?", "answer": "False"} | Is 93770023 a composite number? | False |
{"question": "What is next in 13975, 27966, 41961, 55960, 69963?", "answer": "83970"} | What is next in 13975, 27966, 41961, 55960, 69963? | 83970 |
{"question": "Let r be (-2 - -5) + -4 - -26. Calculate the highest common factor of r and 5.", "answer": "5"} | Let r be (-2 - -5) + -4 - -26. Calculate the highest common factor of r and 5. | 5 |
{"question": "What is the closest to 0.1 in 5, 1.75, 0.4?", "answer": "0.4"} | What is the closest to 0.1 in 5, 1.75, 0.4? | 0.4 |
{"question": "Is 64 a factor of 52480?", "answer": "True"} | Is 64 a factor of 52480? | True |
{"question": "What is the value of -6 + -1 + (29 - (-25 + 57)) - 11?", "answer": "-21"} | What is the value of -6 + -1 + (29 - (-25 + 57)) - 11? | -21 |
{"question": "In base 7, what is -34354 - 454506?", "answer": "-522163"} | In base 7, what is -34354 - 454506? | -522163 |
{"question": "Let l = 29 - 17. Suppose 9 = 2*q + x, -q + 12 = x + 2*x. Suppose 3*w + 5*y = 2, 3*w + q*y = 2*w - 2. Calculate the greatest common factor of w and l.", "answer": "4"} | Let l = 29 - 17. Suppose 9 = 2*q + x, -q + 12 = x + 2*x. Suppose 3*w + 5*y = 2, 3*w + q*y = 2*w - 2. Calculate the greatest common factor of w and l. | 4 |
{"question": "Let m(g) = 6*g - 1. Let h(w) = 19*w - 3. What is 3*h(r) - 8*m(r)?", "answer": "9*r - 1"} | Let m(g) = 6*g - 1. Let h(w) = 19*w - 3. What is 3*h(r) - 8*m(r)? | 9*r - 1 |
{"question": "Let k be 528*(-3 - (-42)/12). Let j = k + -245. Which is the second smallest value? (a) j (b) -4 (c) -3", "answer": "c"} | Let k be 528*(-3 - (-42)/12). Let j = k + -245. Which is the second smallest value? (a) j (b) -4 (c) -3 | c |
{"question": "Which is smaller: 287 or -3236?", "answer": "-3236"} | Which is smaller: 287 or -3236? | -3236 |
{"question": "What is the v'th term of -69135, -69155, -69245, -69447, -69803, -70355, -71145, -72215?", "answer": "-7*v**3 + 7*v**2 + 8*v - 69143"} | What is the v'th term of -69135, -69155, -69245, -69447, -69803, -70355, -71145, -72215? | -7*v**3 + 7*v**2 + 8*v - 69143 |
{"question": "What is 655 minutes before 2:23 PM?", "answer": "3:28 AM"} | What is 655 minutes before 2:23 PM? | 3:28 AM |
{"question": "List the prime factors of 28390.", "answer": "2, 5, 17, 167"} | List the prime factors of 28390. | 2, 5, 17, 167 |
{"question": "What is the first derivative of 277*m**2*t + 44970455*m**2 + 15931*m*t**2 + t**2 wrt t?", "answer": "277*m**2 + 31862*m*t + 2*t"} | What is the first derivative of 277*m**2*t + 44970455*m**2 + 15931*m*t**2 + t**2 wrt t? | 277*m**2 + 31862*m*t + 2*t |
{"question": "Calculate the highest common divisor of 639 and 234513.", "answer": "639"} | Calculate the highest common divisor of 639 and 234513. | 639 |
{"question": "What is 56095 to the power of 1/8, to the nearest integer?", "answer": "4"} | What is 56095 to the power of 1/8, to the nearest integer? | 4 |
{"question": "Rearrange -199*c - 16*c - 39*c to x + j*c and give j.", "answer": "-254"} | Rearrange -199*c - 16*c - 39*c to x + j*c and give j. | -254 |
{"question": "Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}.", "answer": "1"} | Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}. | 1 |
{"question": "Calculate prob of sequence tr when two letters picked without replacement from rtrfrfrrttmmtmmrmrt.", "answer": "35/342"} | Calculate prob of sequence tr when two letters picked without replacement from rtrfrfrrttmmtmmrmrt. | 35/342 |
{"question": "Solve -9*n - 39 + 45 = -11*n for n.", "answer": "-3"} | Solve -9*n - 39 + 45 = -11*n for n. | -3 |
{"question": "What is 81/4 of a milligram in micrograms?", "answer": "20250"} | What is 81/4 of a milligram in micrograms? | 20250 |
{"question": "Let k(w) be the second derivative of w**9/3024 - w**6/120 + w**3/3 - 3*w. Let d(x) be the second derivative of k(x). Find the third derivative of d(j) wrt j.", "answer": "60*j**2"} | Let k(w) be the second derivative of w**9/3024 - w**6/120 + w**3/3 - 3*w. Let d(x) be the second derivative of k(x). Find the third derivative of d(j) wrt j. | 60*j**2 |
{"question": "What is 55347 divided by 5560?", "answer": "55347/5560"} | What is 55347 divided by 5560? | 55347/5560 |
{"question": "What is the c'th term of -16212, -32423, -48634?", "answer": "-16211*c - 1"} | What is the c'th term of -16212, -32423, -48634? | -16211*c - 1 |
{"question": "What is the square root of 2974785 to the nearest integer?", "answer": "1725"} | What is the square root of 2974785 to the nearest integer? | 1725 |
{"question": "Let m = -232.2 + 79.3. What is m rounded to the nearest 10?", "answer": "-150"} | Let m = -232.2 + 79.3. What is m rounded to the nearest 10? | -150 |
{"question": "Let x = 3356.8 + -3350.7969. Let l = 18 - 12. Let s = x - l. Round s to three dps.", "answer": "0.003"} | Let x = 3356.8 + -3350.7969. Let l = 18 - 12. Let s = x - l. Round s to three dps. | 0.003 |
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