text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Calculate prob of sequence mpmp when four letters picked without replacement from {d: 4, m: 2, p: 2, c: 1, l: 4, n: 1}.", "answer": "1/6006"} | Calculate prob of sequence mpmp when four letters picked without replacement from {d: 4, m: 2, p: 2, c: 1, l: 4, n: 1}. | 1/6006 |
{"question": "Is 515 a factor of 4507795?", "answer": "True"} | Is 515 a factor of 4507795? | True |
{"question": "Let a(d) be the third derivative of d**5/60 + d**4/6 + 5*d**3/6 + 6*d**2. What are the prime factors of a(4)?", "answer": "37"} | Let a(d) be the third derivative of d**5/60 + d**4/6 + 5*d**3/6 + 6*d**2. What are the prime factors of a(4)? | 37 |
{"question": "Let n(g) = 4*g. Let t(a) = -7*a - 7. Let h be t(-3). Let z be n(h). Suppose -p + 71 = 2*u + 2*p, 2*u - 2*p = 46. What is the highest common factor of u and z?", "answer": "28"} | Let n(g) = 4*g. Let t(a) = -7*a - 7. Let h be t(-3). Let z be n(h). Suppose -p + 71 = 2*u + 2*p, 2*u - 2*p = 46. What is the highest common factor of u and z? | 28 |
{"question": "Let b(o) = -o**2. Let v(c) = -16*c**2 + 108773*c. Determine v(b(k)).", "answer": "-16*k**4 - 108773*k**2"} | Let b(o) = -o**2. Let v(c) = -16*c**2 + 108773*c. Determine v(b(k)). | -16*k**4 - 108773*k**2 |
{"question": "Does 29 divide 3840?", "answer": "False"} | Does 29 divide 3840? | False |
{"question": "Let v = -8614/11 - -784. Solve -10/11*w**4 + 4/11*w**3 + 0 - 4/11*w + v*w**2 = 0.", "answer": "-1, 0, 2/5, 1"} | Let v = -8614/11 - -784. Solve -10/11*w**4 + 4/11*w**3 + 0 - 4/11*w + v*w**2 = 0. | -1, 0, 2/5, 1 |
{"question": "Round -80.0163 to the nearest 100.", "answer": "-100"} | Round -80.0163 to the nearest 100. | -100 |
{"question": "Solve -205 = -19*o - 53 for o.", "answer": "8"} | Solve -205 = -19*o - 53 for o. | 8 |
{"question": "Let o(v) be the first derivative of -v**7/168 + v**6/2 - 18*v**5 + 360*v**4 + v**3/3 - 273. Let x(z) be the third derivative of o(z). Solve x(j) = 0.", "answer": "12"} | Let o(v) be the first derivative of -v**7/168 + v**6/2 - 18*v**5 + 360*v**4 + v**3/3 - 273. Let x(z) be the third derivative of o(z). Solve x(j) = 0. | 12 |
{"question": "770330*-3", "answer": "-2310990"} | 770330*-3 | -2310990 |
{"question": "Solve 3*g = 15*a + 8*g - 35, -7*a + g = -23 for a.", "answer": "3"} | Solve 3*g = 15*a + 8*g - 35, -7*a + g = -23 for a. | 3 |
{"question": "Find the second derivative of -543*j - 14 - 5 + 6*j**4 + 541*j - 2*j**2 wrt j.", "answer": "72*j**2 - 4"} | Find the second derivative of -543*j - 14 - 5 + 6*j**4 + 541*j - 2*j**2 wrt j. | 72*j**2 - 4 |
{"question": "Four letters picked without replacement from {k: 13, z: 5}. What is prob of picking 4 z?", "answer": "1/612"} | Four letters picked without replacement from {k: 13, z: 5}. What is prob of picking 4 z? | 1/612 |
{"question": "Let p = 380.32239 - 380.4. Let n = -39 - -39.077. Let v = n + p. What is v rounded to four dps?", "answer": "-0.0006"} | Let p = 380.32239 - 380.4. Let n = -39 - -39.077. Let v = n + p. What is v rounded to four dps? | -0.0006 |
{"question": "What is the third derivative of -3153*t**3 + 1543*t**2?", "answer": "-18918"} | What is the third derivative of -3153*t**3 + 1543*t**2? | -18918 |
{"question": "Let t(q) = 227*q**2 + 267*q + 1928. Does 17 divide t(-7)?", "answer": "False"} | Let t(q) = 227*q**2 + 267*q + 1928. Does 17 divide t(-7)? | False |
{"question": "Solve 0 = -94*i + 119*i + 150 for i.", "answer": "-6"} | Solve 0 = -94*i + 119*i + 150 for i. | -6 |
{"question": "Suppose 4*o + 5*k = 2109, -2*o = 3*o - 5*k - 2670. Does 59 divide o?", "answer": "True"} | Suppose 4*o + 5*k = 2109, -2*o = 3*o - 5*k - 2670. Does 59 divide o? | True |
{"question": "Is 1504 a multiple of 16?", "answer": "True"} | Is 1504 a multiple of 16? | True |
{"question": "What is prob of picking 2 y when two letters picked without replacement from {s: 2, y: 2, l: 1}?", "answer": "1/10"} | What is prob of picking 2 y when two letters picked without replacement from {s: 2, y: 2, l: 1}? | 1/10 |
{"question": "Round 0.10903 to 2 dps.", "answer": "0.11"} | Round 0.10903 to 2 dps. | 0.11 |
{"question": "Suppose -27 = -4*f - i, -2*f - 2*i = 3*f - 30. Suppose 0 = -4*y + j - 6, 0 = f*y - 3*y - 4*j + 13. Which is the smallest value? (a) y (b) 0 (c) 4 (d) -5", "answer": "d"} | Suppose -27 = -4*f - i, -2*f - 2*i = 3*f - 30. Suppose 0 = -4*y + j - 6, 0 = f*y - 3*y - 4*j + 13. Which is the smallest value? (a) y (b) 0 (c) 4 (d) -5 | d |
{"question": "What is the value of (-2)/((-280)/145) + 3/(-4)?", "answer": "2/7"} | What is the value of (-2)/((-280)/145) + 3/(-4)? | 2/7 |
{"question": "Calculate prob of sequence aa when two letters picked without replacement from txaaaaxtxxat.", "answer": "5/33"} | Calculate prob of sequence aa when two letters picked without replacement from txaaaaxtxxat. | 5/33 |
{"question": "Is 78 a factor of 60011?", "answer": "False"} | Is 78 a factor of 60011? | False |
{"question": "Let c(s) = 126*s**2 + 4*s + 2. Suppose 4 = -3*t - 8. Let w(r) = -42*r**2 - 2*r - 1. Let z(g) = t*c(g) - 11*w(g). What is the second derivative of z(y) wrt y?", "answer": "-84"} | Let c(s) = 126*s**2 + 4*s + 2. Suppose 4 = -3*t - 8. Let w(r) = -42*r**2 - 2*r - 1. Let z(g) = t*c(g) - 11*w(g). What is the second derivative of z(y) wrt y? | -84 |
{"question": "What is 981130 to the power of 1/5, to the nearest integer?", "answer": "16"} | What is 981130 to the power of 1/5, to the nearest integer? | 16 |
{"question": "What comes next: -38, -19, 4, 31, 62?", "answer": "97"} | What comes next: -38, -19, 4, 31, 62? | 97 |
{"question": "What is the highest common divisor of 900 and 72?", "answer": "36"} | What is the highest common divisor of 900 and 72? | 36 |
{"question": "What is the third derivative of 148*o**2 - 24*o + 12*o + 1533*o**6 + 27*o - 18*o wrt o?", "answer": "183960*o**3"} | What is the third derivative of 148*o**2 - 24*o + 12*o + 1533*o**6 + 27*o - 18*o wrt o? | 183960*o**3 |
{"question": "Rearrange -2*p + 300*p**3 - p**2 + 0*p**2 - 321*p**3 - p + 4*p**2 to k + q*p**2 + b*p + x*p**3 and give q.", "answer": "3"} | Rearrange -2*p + 300*p**3 - p**2 + 0*p**2 - 321*p**3 - p + 4*p**2 to k + q*p**2 + b*p + x*p**3 and give q. | 3 |
{"question": "Sum -12 and 0.024.", "answer": "-11.976"} | Sum -12 and 0.024. | -11.976 |
{"question": "What is the fourth root of 54447246 to the nearest integer?", "answer": "86"} | What is the fourth root of 54447246 to the nearest integer? | 86 |
{"question": "Suppose 290*g + 192 = 306*g. Let f(u) = -u**3 + 13*u**2 - 14*u + 2. Calculate f(g).", "answer": "-22"} | Suppose 290*g + 192 = 306*g. Let f(u) = -u**3 + 13*u**2 - 14*u + 2. Calculate f(g). | -22 |
{"question": "Suppose 5*c - 107 = -2*b, 2*c - 2*b + 5*b - 45 = 0. Let f = -15 - c. Calculate the remainder when -3*(-4)/f*-15 is divided by 2.", "answer": "1"} | Suppose 5*c - 107 = -2*b, 2*c - 2*b + 5*b - 45 = 0. Let f = -15 - c. Calculate the remainder when -3*(-4)/f*-15 is divided by 2. | 1 |
{"question": "What is the value of (518 - 535 - (-1 - 30)) + (15 - (-1 - -3))?", "answer": "27"} | What is the value of (518 - 535 - (-1 - 30)) + (15 - (-1 - -3))? | 27 |
{"question": "Let t = -21.1 - -11.9. Let a = 9 + t. What is the third biggest value in 1/4, -4, 0.05, a?", "answer": "a"} | Let t = -21.1 - -11.9. Let a = 9 + t. What is the third biggest value in 1/4, -4, 0.05, a? | a |
{"question": "Collect the terms in 15 + 0*b + 4*b - b.", "answer": "3*b + 15"} | Collect the terms in 15 + 0*b + 4*b - b. | 3*b + 15 |
{"question": "Evaluate 1/(-1)*(-336)/(-42).", "answer": "-8"} | Evaluate 1/(-1)*(-336)/(-42). | -8 |
{"question": "Calculate the highest common divisor of 572 and 1001.", "answer": "143"} | Calculate the highest common divisor of 572 and 1001. | 143 |
{"question": "Solve 3*j = 7*j + 7*j + 33 for j.", "answer": "-3"} | Solve 3*j = 7*j + 7*j + 33 for j. | -3 |
{"question": "Let y = 19766 + -19765.981636. Round y to two dps.", "answer": "0.02"} | Let y = 19766 + -19765.981636. Round y to two dps. | 0.02 |
{"question": "What is 460060 (base 8) in base 12?", "answer": "76128"} | What is 460060 (base 8) in base 12? | 76128 |
{"question": "Solve 2*q - 48 = -4*m, 25*q = 10*m + 29*q - 120 for m.", "answer": "12"} | Solve 2*q - 48 = -4*m, 25*q = 10*m + 29*q - 120 for m. | 12 |
{"question": "Let h(t) = -t**2 + 7*t + 2. Let x = -4 - -11. What is the lowest common multiple of 16 and h(x)?", "answer": "16"} | Let h(t) = -t**2 + 7*t + 2. Let x = -4 - -11. What is the lowest common multiple of 16 and h(x)? | 16 |
{"question": "Let r = 148 - 123. Suppose 4 - r = 7*i. Put 3, -2, i, -5 in descending order.", "answer": "3, -2, i, -5"} | Let r = 148 - 123. Suppose 4 - r = 7*i. Put 3, -2, i, -5 in descending order. | 3, -2, i, -5 |
{"question": "Let w**3 + 504*w**2 - 8256*w - 21773824 = 0. What is w?", "answer": "-344, 184"} | Let w**3 + 504*w**2 - 8256*w - 21773824 = 0. What is w? | -344, 184 |
{"question": "Suppose 0 = 5*b + 20 + 40. What is the tens digit of 137 + (-6)/b*12?", "answer": "4"} | Suppose 0 = 5*b + 20 + 40. What is the tens digit of 137 + (-6)/b*12? | 4 |
{"question": "Let g be (5/1 + -1)*319/(-18788). Which is smaller: g or 1?", "answer": "g"} | Let g be (5/1 + -1)*319/(-18788). Which is smaller: g or 1? | g |
{"question": "Calculate the greatest common divisor of 564733 and 39.", "answer": "13"} | Calculate the greatest common divisor of 564733 and 39. | 13 |
{"question": "What is the n'th term of -399, -1921, -4457, -8007?", "answer": "-507*n**2 - n + 109"} | What is the n'th term of -399, -1921, -4457, -8007? | -507*n**2 - n + 109 |
{"question": "What are the prime factors of 49108?", "answer": "2, 12277"} | What are the prime factors of 49108? | 2, 12277 |
{"question": "Evaluate (-8)/(-60)*5 + 6/(-9).", "answer": "0"} | Evaluate (-8)/(-60)*5 + 6/(-9). | 0 |
{"question": "Total of 2145972536 and -0.2.", "answer": "2145972535.8"} | Total of 2145972536 and -0.2. | 2145972535.8 |
{"question": "Suppose 110 = 3*c - 82. Calculate the highest common factor of c and 16.", "answer": "16"} | Suppose 110 = 3*c - 82. Calculate the highest common factor of c and 16. | 16 |
{"question": "-1176.7851 times 9", "answer": "-10591.0659"} | -1176.7851 times 9 | -10591.0659 |
{"question": "Suppose 2*v = 3*b - 1150 + 103, v + 1752 = 5*b. What is the least common multiple of 3 and b?", "answer": "351"} | Suppose 2*v = 3*b - 1150 + 103, v + 1752 = 5*b. What is the least common multiple of 3 and b? | 351 |
{"question": "Express -2658 + 3*a**2 + 2658 + 13*a in the form r*a**2 + v*a + s and give v.", "answer": "13"} | Express -2658 + 3*a**2 + 2658 + 13*a in the form r*a**2 + v*a + s and give v. | 13 |
{"question": "Let h be (114/133)/(3/98*21/6). Solve -3*u - 5*b = 22, 4*u - h*b = -11*b - 22 for u.", "answer": "-4"} | Let h be (114/133)/(3/98*21/6). Solve -3*u - 5*b = 22, 4*u - h*b = -11*b - 22 for u. | -4 |
{"question": "Let i(b) = -b**3 + 2. Let h(x) = 1. Calculate 2*h(n) - i(n).", "answer": "n**3"} | Let i(b) = -b**3 + 2. Let h(x) = 1. Calculate 2*h(n) - i(n). | n**3 |
{"question": "How many minutes are there between 9:40 PM and 6:58 AM?", "answer": "558"} | How many minutes are there between 9:40 PM and 6:58 AM? | 558 |
{"question": "Collect the terms in 5 - 14898*g + 14552*g - 6.", "answer": "-346*g - 1"} | Collect the terms in 5 - 14898*g + 14552*g - 6. | -346*g - 1 |
{"question": "Let q = -8.58068 + 0.08268. Let c = 8.5 + q. Round c to 3 dps.", "answer": "0.002"} | Let q = -8.58068 + 0.08268. Let c = 8.5 + q. Round c to 3 dps. | 0.002 |
{"question": "What is the common denominator of -149/1566 and 41/27?", "answer": "1566"} | What is the common denominator of -149/1566 and 41/27? | 1566 |
{"question": "How many minutes are there between 1:44 PM and 10:12 PM?", "answer": "508"} | How many minutes are there between 1:44 PM and 10:12 PM? | 508 |
{"question": "What are the prime factors of 2255359?", "answer": "29, 83, 937"} | What are the prime factors of 2255359? | 29, 83, 937 |
{"question": "Suppose 2*v + 3*d - 11 = v, 0 = -5*v - 4*d. Is (v - -5)*18 + 2 a multiple of 7?", "answer": "False"} | Suppose 2*v + 3*d - 11 = v, 0 = -5*v - 4*d. Is (v - -5)*18 + 2 a multiple of 7? | False |
{"question": "Let u be (54/4)/((-165)/24508). Suppose 3*c - 966 = 5070. Let q = u + c. Calculate the common denominator of 89/2 and q.", "answer": "10"} | Let u be (54/4)/((-165)/24508). Suppose 3*c - 966 = 5070. Let q = u + c. Calculate the common denominator of 89/2 and q. | 10 |
{"question": "Collect the terms in -789636*n + 394822*n + 394823*n.", "answer": "9*n"} | Collect the terms in -789636*n + 394822*n + 394823*n. | 9*n |
{"question": "Let a(d) = 2*d**2 + d**2 + d**3 - 2 - d + 4. Let m be a(-3). Suppose 8*p - 40 = -5*l + 3*p, -p = m*l - 20. Solve -4*x = -5 - l for x.", "answer": "2"} | Let a(d) = 2*d**2 + d**2 + d**3 - 2 - d + 4. Let m be a(-3). Suppose 8*p - 40 = -5*l + 3*p, -p = m*l - 20. Solve -4*x = -5 - l for x. | 2 |
{"question": "Let j = 20 + -17. Let x(a) = a**3 - 6*a**2 + 3*a + 2. Let k(d) = -2*d**3 + 13*d**2 - 7*d - 5. Let g(n) = 3*k(n) + 7*x(n). What is g(j)?", "answer": "-1"} | Let j = 20 + -17. Let x(a) = a**3 - 6*a**2 + 3*a + 2. Let k(d) = -2*d**3 + 13*d**2 - 7*d - 5. Let g(n) = 3*k(n) + 7*x(n). What is g(j)? | -1 |
{"question": "Simplify 5*(4 + ((4 + 2 + sqrt(475) + sqrt(475))**2 - sqrt(475))) + 2 + 0.", "answer": "575*sqrt(19) + 9702"} | Simplify 5*(4 + ((4 + 2 + sqrt(475) + sqrt(475))**2 - sqrt(475))) + 2 + 0. | 575*sqrt(19) + 9702 |
{"question": "Let r be ((-25)/(-25))/(((-5)/6)/(-5)). Let j be (3 - (-1302)/r) + -2 + -2. Calculate the highest common divisor of j and 3.", "answer": "3"} | Let r be ((-25)/(-25))/(((-5)/6)/(-5)). Let j be (3 - (-1302)/r) + -2 + -2. Calculate the highest common divisor of j and 3. | 3 |
{"question": "Simplify (sqrt(22)*2)/sqrt(11) - (4 + -2*sqrt(2)).", "answer": "-4 + 4*sqrt(2)"} | Simplify (sqrt(22)*2)/sqrt(11) - (4 + -2*sqrt(2)). | -4 + 4*sqrt(2) |
{"question": "Let t(q) = q - 1. Let x be t(-3). Let l be x/(-2) + (-33)/21. Is 1 >= l?", "answer": "True"} | Let t(q) = q - 1. Let x be t(-3). Let l be x/(-2) + (-33)/21. Is 1 >= l? | True |
{"question": "5*1458", "answer": "7290"} | 5*1458 | 7290 |
{"question": "Let o = 4.8 + -5.76. Let n = 0.04 - o. Let k = 2.2 + -0.2. What is the smallest value in k, 2/9, n?", "answer": "2/9"} | Let o = 4.8 + -5.76. Let n = 0.04 - o. Let k = 2.2 + -0.2. What is the smallest value in k, 2/9, n? | 2/9 |
{"question": "What is 0.0207 minus -7712375?", "answer": "7712375.0207"} | What is 0.0207 minus -7712375? | 7712375.0207 |
{"question": "Put 81, -9, 2, 3 in descending order.", "answer": "81, 3, 2, -9"} | Put 81, -9, 2, 3 in descending order. | 81, 3, 2, -9 |
{"question": "What is the nearest to -0.1 in -2/17, -225, -5?", "answer": "-2/17"} | What is the nearest to -0.1 in -2/17, -225, -5? | -2/17 |
{"question": "Rearrange 224*q + 30*q**2 + 45*q**2 - 99*q**2 + 27*q**2 to m*q**2 + x*q + k and give m.", "answer": "3"} | Rearrange 224*q + 30*q**2 + 45*q**2 - 99*q**2 + 27*q**2 to m*q**2 + x*q + k and give m. | 3 |
{"question": "What is the value of (18 + 1370/(-30) + 28)/((-8)/(-30))?", "answer": "5/4"} | What is the value of (18 + 1370/(-30) + 28)/((-8)/(-30))? | 5/4 |
{"question": "What is next in 26424, 26422, 26418, 26412?", "answer": "26404"} | What is next in 26424, 26422, 26418, 26412? | 26404 |
{"question": "Let z = 9.138 - 9.5381. Let i = z - -0.0001. Suppose 3*l + 11 = -0*l + 2*x, 5*l + 2*x - 3 = 0. What is the nearest to l in 12, i, 0.3?", "answer": "i"} | Let z = 9.138 - 9.5381. Let i = z - -0.0001. Suppose 3*l + 11 = -0*l + 2*x, 5*l + 2*x - 3 = 0. What is the nearest to l in 12, i, 0.3? | i |
{"question": "Let u = 146 - 140. Suppose s - u + 2 = 0. What is the closest to 2 in 1, 5, s?", "answer": "1"} | Let u = 146 - 140. Suppose s - u + 2 = 0. What is the closest to 2 in 1, 5, s? | 1 |
{"question": "What is the ten thousands digit of 4119205?", "answer": "1"} | What is the ten thousands digit of 4119205? | 1 |
{"question": "Collect the terms in 1305 + 2*o**3 + 1320 + 1577 - 4202.", "answer": "2*o**3"} | Collect the terms in 1305 + 2*o**3 + 1320 + 1577 - 4202. | 2*o**3 |
{"question": "Let g = 114 + -1484/13. Which is the closest to -1/3? (a) 2 (b) g (c) -5", "answer": "b"} | Let g = 114 + -1484/13. Which is the closest to -1/3? (a) 2 (b) g (c) -5 | b |
{"question": "7/(-1)*6/(-5)*(-160985)/(-40978)", "answer": "33"} | 7/(-1)*6/(-5)*(-160985)/(-40978) | 33 |
{"question": "Suppose -65 = 83*i - 88*i. Suppose i*h = 8*h + 540. List the prime factors of h.", "answer": "2, 3"} | Suppose -65 = 83*i - 88*i. Suppose i*h = 8*h + 540. List the prime factors of h. | 2, 3 |
{"question": "Convert 9644.616 grams to milligrams.", "answer": "9644616"} | Convert 9644.616 grams to milligrams. | 9644616 |
{"question": "Let t(w) = 5*w - 6 + 8*w - 4*w - w**2. List the prime factors of t(6).", "answer": "2, 3"} | Let t(w) = 5*w - 6 + 8*w - 4*w - w**2. List the prime factors of t(6). | 2, 3 |
{"question": "Let j(s) = -s**3 - 7*s**2 + 116*s - 8. Give j(-13).", "answer": "-502"} | Let j(s) = -s**3 - 7*s**2 + 116*s - 8. Give j(-13). | -502 |
{"question": "Calculate (2/(-18)*-3)/(15/9).", "answer": "1/5"} | Calculate (2/(-18)*-3)/(15/9). | 1/5 |
{"question": "Let a(f) be the first derivative of 3/10*f**4 + 0*f**2 - 2/15*f**3 + 0*f + 1/15*f**6 - 6/25*f**5 + 2. Solve a(t) = 0 for t.", "answer": "0, 1"} | Let a(f) be the first derivative of 3/10*f**4 + 0*f**2 - 2/15*f**3 + 0*f + 1/15*f**6 - 6/25*f**5 + 2. Solve a(t) = 0 for t. | 0, 1 |
{"question": "Work out -0.5 + 34043942124234.", "answer": "34043942124233.5"} | Work out -0.5 + 34043942124234. | 34043942124233.5 |
{"question": "What is the distance between 167952374 and -1?", "answer": "167952375"} | What is the distance between 167952374 and -1? | 167952375 |
{"question": "Suppose 0 = -t - t. Let r(k) = 4*k - 1 + 0*k - 2*k + t. What are the prime factors of r(10)?", "answer": "19"} | Suppose 0 = -t - t. Let r(k) = 4*k - 1 + 0*k - 2*k + t. What are the prime factors of r(10)? | 19 |
{"question": "Simplify (sqrt(70)*-1*-4 + sqrt(70) - 1*sqrt(70)*-1)/(((-5*sqrt(90) + sqrt(90))*4)/sqrt(9)) + 5.", "answer": "-3*sqrt(7)/8 + 5"} | Simplify (sqrt(70)*-1*-4 + sqrt(70) - 1*sqrt(70)*-1)/(((-5*sqrt(90) + sqrt(90))*4)/sqrt(9)) + 5. | -3*sqrt(7)/8 + 5 |
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