text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Is 1463380709 a composite number?", "answer": "True"} | Is 1463380709 a composite number? | True |
{"question": "Let z = 0.7 - 6.7. Let r = 12769.7 + -12763.7. What is the third biggest value in r, z, -0.4?", "answer": "z"} | Let z = 0.7 - 6.7. Let r = 12769.7 + -12763.7. What is the third biggest value in r, z, -0.4? | z |
{"question": "Suppose -130 = 2*y + 3*y. Let d = 33 - -6. Let n = y + d. Does 8 divide n?", "answer": "False"} | Suppose -130 = 2*y + 3*y. Let d = 33 - -6. Let n = y + d. Does 8 divide n? | False |
{"question": "What is the closest to -1/3 in 214, 0.4, 0.2?", "answer": "0.2"} | What is the closest to -1/3 in 214, 0.4, 0.2? | 0.2 |
{"question": "What is the closest to 1 in 0.7, -0.1, -1/7?", "answer": "0.7"} | What is the closest to 1 in 0.7, -0.1, -1/7? | 0.7 |
{"question": "Suppose u - 12 = -f + 4*f, 3 = -3*u - 4*f. Sort 5, u, 0 in descending order.", "answer": "5, u, 0"} | Suppose u - 12 = -f + 4*f, 3 = -3*u - 4*f. Sort 5, u, 0 in descending order. | 5, u, 0 |
{"question": "In base 10, what is 12 - 8?", "answer": "4"} | In base 10, what is 12 - 8? | 4 |
{"question": "Sort -10/147, 136, -15, 4 in descending order.", "answer": "136, 4, -10/147, -15"} | Sort -10/147, 136, -15, 4 in descending order. | 136, 4, -10/147, -15 |
{"question": "What is the remainder when 104438321 is divided by 3962?", "answer": "1"} | What is the remainder when 104438321 is divided by 3962? | 1 |
{"question": "Let v = 800/3681 + 2/409. Which is the nearest to 0.12? (a) 0.5 (b) 3/4 (c) 4 (d) v", "answer": "d"} | Let v = 800/3681 + 2/409. Which is the nearest to 0.12? (a) 0.5 (b) 3/4 (c) 4 (d) v | d |
{"question": "Which is the second biggest value? (a) 1 (b) 7 (c) -2/11 (d) 1/7", "answer": "a"} | Which is the second biggest value? (a) 1 (b) 7 (c) -2/11 (d) 1/7 | a |
{"question": "Let c = 18 - 15. Let b = -68 + 68. What is the third biggest value in b, -3, c?", "answer": "-3"} | Let c = 18 - 15. Let b = -68 + 68. What is the third biggest value in b, -3, c? | -3 |
{"question": "Let s(r) be the first derivative of -r**3 + 1. Let n(h) be the second derivative of 0*h**3 + 0*h**2 - 3*h + 0 - 1/12*h**4. Determine n(s(f)).", "answer": "-9*f**4"} | Let s(r) be the first derivative of -r**3 + 1. Let n(h) be the second derivative of 0*h**3 + 0*h**2 - 3*h + 0 - 1/12*h**4. Determine n(s(f)). | -9*f**4 |
{"question": "Let c be (-22)/(-33)*(2 - -52). Calculate the greatest common factor of 48 and c.", "answer": "12"} | Let c be (-22)/(-33)*(2 - -52). Calculate the greatest common factor of 48 and c. | 12 |
{"question": "What is the third derivative of -667*j**3 + 143*j**2 + 21*j**2 + 237*j**3 + 172*j**2 - 90*j**2 wrt j?", "answer": "-2580"} | What is the third derivative of -667*j**3 + 143*j**2 + 21*j**2 + 237*j**3 + 172*j**2 - 90*j**2 wrt j? | -2580 |
{"question": "Let s = 27540 + -23895. Calculate the greatest common factor of s and 36.", "answer": "9"} | Let s = 27540 + -23895. Calculate the greatest common factor of s and 36. | 9 |
{"question": "Let p(o) be the third derivative of o**7/630 - o**5/90 + o**3/18 + 9*o**2. Factor p(j).", "answer": "(j - 1)**2*(j + 1)**2/3"} | Let p(o) be the third derivative of o**7/630 - o**5/90 + o**3/18 + 9*o**2. Factor p(j). | (j - 1)**2*(j + 1)**2/3 |
{"question": "Divide 52 by -52.", "answer": "-1"} | Divide 52 by -52. | -1 |
{"question": "Which is smaller: 0.03 or -608?", "answer": "-608"} | Which is smaller: 0.03 or -608? | -608 |
{"question": "Simplify 1*(0 + (-1 + sqrt(252) - (sqrt(28)*-1 + sqrt(28))/sqrt(4)))**2.", "answer": "-12*sqrt(7) + 253"} | Simplify 1*(0 + (-1 + sqrt(252) - (sqrt(28)*-1 + sqrt(28))/sqrt(4)))**2. | -12*sqrt(7) + 253 |
{"question": "Suppose 984058 + 261389 - 124243 = 28*u. What are the prime factors of u?", "answer": "23, 1741"} | Suppose 984058 + 261389 - 124243 = 28*u. What are the prime factors of u? | 23, 1741 |
{"question": "Work out 4.7 * -0.2.", "answer": "-0.94"} | Work out 4.7 * -0.2. | -0.94 |
{"question": "Which is bigger: -98970 or -98972?", "answer": "-98970"} | Which is bigger: -98970 or -98972? | -98970 |
{"question": "Let i(n) = -n**2 - 30*n - 149. What is i(-17)?", "answer": "72"} | Let i(n) = -n**2 - 30*n - 149. What is i(-17)? | 72 |
{"question": "Express (-4272*a + 131*a + 2496*a)*(2 + 4 - 3) as z*a + t and give z.", "answer": "-4935"} | Express (-4272*a + 131*a + 2496*a)*(2 + 4 - 3) as z*a + t and give z. | -4935 |
{"question": "Let w(r) = -r + r**2 + r - r**3 + 21 - r. Let q be w(0). Suppose 4*s = q + 231. What is the tens digit of s?", "answer": "6"} | Let w(r) = -r + r**2 + r - r**3 + 21 - r. Let q be w(0). Suppose 4*s = q + 231. What is the tens digit of s? | 6 |
{"question": "Is 21458 + (6 + 14 - 11) prime?", "answer": "True"} | Is 21458 + (6 + 14 - 11) prime? | True |
{"question": "Let k be 46/161 - (0 - 36/70). Solve 0 + k*j**2 + 8/5*j = 0 for j.", "answer": "-2, 0"} | Let k be 46/161 - (0 - 36/70). Solve 0 + k*j**2 + 8/5*j = 0 for j. | -2, 0 |
{"question": "What is the third derivative of 26*b*j**3 - 53*b*j**2 - j**5 + 288*j**3 - 170*j wrt j?", "answer": "156*b - 60*j**2 + 1728"} | What is the third derivative of 26*b*j**3 - 53*b*j**2 - j**5 + 288*j**3 - 170*j wrt j? | 156*b - 60*j**2 + 1728 |
{"question": "Suppose 5 = 5*j - 0*j. Let x(m) = 5*m**2 - m. Calculate the remainder when x(j) is divided by 2.", "answer": "0"} | Suppose 5 = 5*j - 0*j. Let x(m) = 5*m**2 - m. Calculate the remainder when x(j) is divided by 2. | 0 |
{"question": "Let m(g) = g**3 - g**2 - 126. Calculate m(0).", "answer": "-126"} | Let m(g) = g**3 - g**2 - 126. Calculate m(0). | -126 |
{"question": "Let x = -10 + 16. Let g(t) = t**3 - 7*t**2 + 7*t - 4. Let d be g(x). Does 3 = d?", "answer": "False"} | Let x = -10 + 16. Let g(t) = t**3 - 7*t**2 + 7*t - 4. Let d be g(x). Does 3 = d? | False |
{"question": "Let o(a) = -3*a + 16. Let x be o(4). Differentiate 16*m**2 - 5*m**2 + 3*m**x - 2*m**2 - 9*m**2 - 137 with respect to m.", "answer": "12*m**3"} | Let o(a) = -3*a + 16. Let x be o(4). Differentiate 16*m**2 - 5*m**2 + 3*m**x - 2*m**2 - 9*m**2 - 137 with respect to m. | 12*m**3 |
{"question": "What is the value of 664/83*(-1)/76?", "answer": "-2/19"} | What is the value of 664/83*(-1)/76? | -2/19 |
{"question": "How many minutes are there between 3:58 AM and 11:35 AM?", "answer": "457"} | How many minutes are there between 3:58 AM and 11:35 AM? | 457 |
{"question": "Let r(t) = -2*t**2. Let d(k) = 4346*k. What is d(r(i))?", "answer": "-8692*i**2"} | Let r(t) = -2*t**2. Let d(k) = 4346*k. What is d(r(i))? | -8692*i**2 |
{"question": "How many minutes are there between 12:54 AM and 3:33 AM?", "answer": "159"} | How many minutes are there between 12:54 AM and 3:33 AM? | 159 |
{"question": "Put -5, 2, -212 in descending order.", "answer": "2, -5, -212"} | Put -5, 2, -212 in descending order. | 2, -5, -212 |
{"question": "Let o(h) = -5*h. Let p(z) be the first derivative of 0*z + 0*z**2 - 2/3*z**3 + 23. Calculate p(o(l)).", "answer": "-50*l**2"} | Let o(h) = -5*h. Let p(z) be the first derivative of 0*z + 0*z**2 - 2/3*z**3 + 23. Calculate p(o(l)). | -50*l**2 |
{"question": "Calculate the remainder when 312552 is divided by 156273.", "answer": "6"} | Calculate the remainder when 312552 is divided by 156273. | 6 |
{"question": "Let j(l) be the second derivative of l**4/12 + 3*l**3/2 + l**2 - 22*l. Determine j(-9).", "answer": "2"} | Let j(l) be the second derivative of l**4/12 + 3*l**3/2 + l**2 - 22*l. Determine j(-9). | 2 |
{"question": "Find d, given that -d**4/8 + 673*d**3/8 + 70411*d**2/8 - 4539493*d/8 + 2234205/4 = 0.", "answer": "-131, 1, 45, 758"} | Find d, given that -d**4/8 + 673*d**3/8 + 70411*d**2/8 - 4539493*d/8 + 2234205/4 = 0. | -131, 1, 45, 758 |
{"question": "Two letters picked without replacement from {m: 1, z: 6, t: 4, l: 3}. Give prob of sequence mt.", "answer": "2/91"} | Two letters picked without replacement from {m: 1, z: 6, t: 4, l: 3}. Give prob of sequence mt. | 2/91 |
{"question": "-323765442 divided by 192374", "answer": "-1683"} | -323765442 divided by 192374 | -1683 |
{"question": "Divide 2950 by 3.", "answer": "2950/3"} | Divide 2950 by 3. | 2950/3 |
{"question": "Let t(w) = -2*w - 5. What is t(-12)?", "answer": "19"} | Let t(w) = -2*w - 5. What is t(-12)? | 19 |
{"question": "Calculate (36/315)/((-8)/20).", "answer": "-2/7"} | Calculate (36/315)/((-8)/20). | -2/7 |
{"question": "What is twenty-seven halves of a microgram in nanograms?", "answer": "13500"} | What is twenty-seven halves of a microgram in nanograms? | 13500 |
{"question": "Are 12003 and 12206 nonequal?", "answer": "True"} | Are 12003 and 12206 nonequal? | True |
{"question": "Simplify 3 + 4 + (1 + sqrt(76)*-1 - sqrt(76))**2*5 + -2.", "answer": "-40*sqrt(19) + 1530"} | Simplify 3 + 4 + (1 + sqrt(76)*-1 - sqrt(76))**2*5 + -2. | -40*sqrt(19) + 1530 |
{"question": "Calculate the smallest common multiple of 18 and 1050.", "answer": "3150"} | Calculate the smallest common multiple of 18 and 1050. | 3150 |
{"question": "What is the second biggest value in -3, -1, -0.5?", "answer": "-1"} | What is the second biggest value in -3, -1, -0.5? | -1 |
{"question": "Let x = 8 + -6. Let k(j) be the second derivative of -j**5/10 + j**4/6 + j**3/6 - j**2 - 2*j - 70. Determine k(x).", "answer": "-8"} | Let x = 8 + -6. Let k(j) be the second derivative of -j**5/10 + j**4/6 + j**3/6 - j**2 - 2*j - 70. Determine k(x). | -8 |
{"question": "Let f(r) = r**3 - 20*r**2 + 38*r - 18. Suppose j = 4*j, 4 = 2*g + 4*j. Calculate the least common multiple of f(18) and g.", "answer": "18"} | Let f(r) = r**3 - 20*r**2 + 38*r - 18. Suppose j = 4*j, 4 = 2*g + 4*j. Calculate the least common multiple of f(18) and g. | 18 |
{"question": "Let f(w) = 8*w**2 - 5*w + 3. Let b be f(2). Let k = b - 21. Suppose c - 5*v + 25 = 0, -4*c = -v - k*v + 25. Solve c = r + q + 2, r - 2 = 2*q + 2 for r.", "answer": "0"} | Let f(w) = 8*w**2 - 5*w + 3. Let b be f(2). Let k = b - 21. Suppose c - 5*v + 25 = 0, -4*c = -v - k*v + 25. Solve c = r + q + 2, r - 2 = 2*q + 2 for r. | 0 |
{"question": "Round 1.2301771 to the nearest integer.", "answer": "1"} | Round 1.2301771 to the nearest integer. | 1 |
{"question": "In base 16, what is 1 - -2b?", "answer": "2c"} | In base 16, what is 1 - -2b? | 2c |
{"question": "In base 3, what is -10100212 + 101202001102?", "answer": "101121200120"} | In base 3, what is -10100212 + 101202001102? | 101121200120 |
{"question": "Let g(v) = -v**2 + 12*v + 32. Let b be g(13). Suppose 0 = 2*a + b - 339. What is the hundreds digit of a?", "answer": "1"} | Let g(v) = -v**2 + 12*v + 32. Let b be g(13). Suppose 0 = 2*a + b - 339. What is the hundreds digit of a? | 1 |
{"question": "Four letters picked without replacement from {g: 2, n: 5, w: 4}. Give prob of picking 1 n, 1 g, and 2 w.", "answer": "2/11"} | Four letters picked without replacement from {g: 2, n: 5, w: 4}. Give prob of picking 1 n, 1 g, and 2 w. | 2/11 |
{"question": "Calculate the common denominator of -12 and 19/301673.", "answer": "301673"} | Calculate the common denominator of -12 and 19/301673. | 301673 |
{"question": "List the prime factors of 1088445.", "answer": "3, 5, 149, 487"} | List the prime factors of 1088445. | 3, 5, 149, 487 |
{"question": "What is the t'th term of -3580, -7161, -10742, -14323?", "answer": "-3581*t + 1"} | What is the t'th term of -3580, -7161, -10742, -14323? | -3581*t + 1 |
{"question": "Sort 49, -27, -14 in increasing order.", "answer": "-27, -14, 49"} | Sort 49, -27, -14 in increasing order. | -27, -14, 49 |
{"question": "What is -31612020315106 + 23?", "answer": "-31612020315083"} | What is -31612020315106 + 23? | -31612020315083 |
{"question": "Solve -12*r + 17*r - 3*v - 26 = 0, 4*v = -r - 0*r - 2*v - 74 for r.", "answer": "-2"} | Solve -12*r + 17*r - 3*v - 26 = 0, 4*v = -r - 0*r - 2*v - 74 for r. | -2 |
{"question": "Express 3*b + b - b**3 - 4*b + 6*b**2 in the form v*b + c*b**3 + d*b**2 + u and give v.", "answer": "0"} | Express 3*b + b - b**3 - 4*b + 6*b**2 in the form v*b + c*b**3 + d*b**2 + u and give v. | 0 |
{"question": "Let -5*p**4/2 - 50*p**3 - 655*p**2/2 - 760*p - 480 = 0. Calculate p.", "answer": "-8, -3, -1"} | Let -5*p**4/2 - 50*p**3 - 655*p**2/2 - 760*p - 480 = 0. Calculate p. | -8, -3, -1 |
{"question": "Let t(x) = 3*x - 3. Let g be t(3). Suppose -3134 = -3*l - 5*y, -2*l - 5*y = -g*l + 4167. Is l prime?", "answer": "False"} | Let t(x) = 3*x - 3. Let g be t(3). Suppose -3134 = -3*l - 5*y, -2*l - 5*y = -g*l + 4167. Is l prime? | False |
{"question": "How many millilitres are there in thirty-seven fifths of a litre?", "answer": "7400"} | How many millilitres are there in thirty-seven fifths of a litre? | 7400 |
{"question": "Let y = -0.05 - 1.95. Let a = 106 - 105. Let w be (-51)/(-9)*a - 6. What is the nearest to -5 in y, w, -1/4?", "answer": "y"} | Let y = -0.05 - 1.95. Let a = 106 - 105. Let w be (-51)/(-9)*a - 6. What is the nearest to -5 in y, w, -1/4? | y |
{"question": "Let c = -10 - -18. Suppose -c = -5*z + 42. Suppose 0 = 3*v + z - 46. List the prime factors of v.", "answer": "2, 3"} | Let c = -10 - -18. Suppose -c = -5*z + 42. Suppose 0 = 3*v + z - 46. List the prime factors of v. | 2, 3 |
{"question": "Let s = -11397001 + 6884001. What is s rounded to the nearest 100000?", "answer": "-4500000"} | Let s = -11397001 + 6884001. What is s rounded to the nearest 100000? | -4500000 |
{"question": "Let z = 21 - 7. Suppose 1 = -3*w + 2*w, 3*m - 2*w - z = 0. Let j = 0.08 + -0.28. Which is the smallest value? (a) j (b) 5 (c) m", "answer": "a"} | Let z = 21 - 7. Suppose 1 = -3*w + 2*w, 3*m - 2*w - z = 0. Let j = 0.08 + -0.28. Which is the smallest value? (a) j (b) 5 (c) m | a |
{"question": "What is the hundreds digit of 74334?", "answer": "3"} | What is the hundreds digit of 74334? | 3 |
{"question": "What is the highest common factor of 45 and 855?", "answer": "45"} | What is the highest common factor of 45 and 855? | 45 |
{"question": "Let g = 1661 - 2449. Let r = g + 789. Solve -r = 2*s + 3 for s.", "answer": "-2"} | Let g = 1661 - 2449. Let r = g + 789. Solve -r = 2*s + 3 for s. | -2 |
{"question": "Suppose 5*p = 6*s - 4*s + 15, 4*s + 6 = 2*p. Suppose -10 = 2*o, 2*w - o + 50 - 1655 = s. What is w rounded to the nearest 1000?", "answer": "1000"} | Suppose 5*p = 6*s - 4*s + 15, 4*s + 6 = 2*p. Suppose -10 = 2*o, 2*w - o + 50 - 1655 = s. What is w rounded to the nearest 1000? | 1000 |
{"question": "Is 990 a multiple of 18?", "answer": "True"} | Is 990 a multiple of 18? | True |
{"question": "Let s(w) be the first derivative of -3*w**4/4 + 10*w**3 - 81*w**2/2 + 54*w + 2276. Solve s(i) = 0 for i.", "answer": "1, 3, 6"} | Let s(w) be the first derivative of -3*w**4/4 + 10*w**3 - 81*w**2/2 + 54*w + 2276. Solve s(i) = 0 for i. | 1, 3, 6 |
{"question": "In base 8, what is 4 - 25613?", "answer": "-25607"} | In base 8, what is 4 - 25613? | -25607 |
{"question": "Solve 5*y + 20 = h, -h - 13 + 21 = -y for h.", "answer": "5"} | Solve 5*y + 20 = h, -h - 13 + 21 = -y for h. | 5 |
{"question": "What is 1382 to the power of 1/3, to the nearest integer?", "answer": "11"} | What is 1382 to the power of 1/3, to the nearest integer? | 11 |
{"question": "Let s(u) = u**3 - 6*u**2 + 2*u + 8. Determine s(5).", "answer": "-7"} | Let s(u) = u**3 - 6*u**2 + 2*u + 8. Determine s(5). | -7 |
{"question": "What is the s'th term of -483, -722, -965, -1218, -1487, -1778, -2097?", "answer": "-s**3 + 4*s**2 - 244*s - 242"} | What is the s'th term of -483, -722, -965, -1218, -1487, -1778, -2097? | -s**3 + 4*s**2 - 244*s - 242 |
{"question": "How many kilograms are there in 31/5 of a tonne?", "answer": "6200"} | How many kilograms are there in 31/5 of a tonne? | 6200 |
{"question": "What is the value of -1 + (-1 + -9 - (0 - 3))?", "answer": "-8"} | What is the value of -1 + (-1 + -9 - (0 - 3))? | -8 |
{"question": "Let f(d) = 9 + d**2 - 7*d + 7 - 7. Let w be f(6). Solve -w*l + 0*l = -12 for l.", "answer": "4"} | Let f(d) = 9 + d**2 - 7*d + 7 - 7. Let w be f(6). Solve -w*l + 0*l = -12 for l. | 4 |
{"question": "Let x(k) = -k**3 - 2*k**2 - 12*k - 18. Calculate the remainder when x(-5) is divided by 20.", "answer": "17"} | Let x(k) = -k**3 - 2*k**2 - 12*k - 18. Calculate the remainder when x(-5) is divided by 20. | 17 |
{"question": "What is sixty-one quarters of a litre in millilitres?", "answer": "15250"} | What is sixty-one quarters of a litre in millilitres? | 15250 |
{"question": "Let f = -170 - -246. Suppose -f = -v - 2*v + 5*l, 5*l + 25 = 0. Suppose -2*t + 8 = -60. What is the highest common divisor of v and t?", "answer": "17"} | Let f = -170 - -246. Suppose -f = -v - 2*v + 5*l, 5*l + 25 = 0. Suppose -2*t + 8 = -60. What is the highest common divisor of v and t? | 17 |
{"question": "Let f = -50 - -50. Is f at least 2/63?", "answer": "False"} | Let f = -50 - -50. Is f at least 2/63? | False |
{"question": "Suppose 4*y - 1624 = 4*k, -10*k - 412 = -9*k + 5*y. Let q = k + 467. What is the least common multiple of 66 and q?", "answer": "660"} | Suppose 4*y - 1624 = 4*k, -10*k - 412 = -9*k + 5*y. Let q = k + 467. What is the least common multiple of 66 and q? | 660 |
{"question": "Expand -2*r + r + 2*r + (-2*r - r + 5*r)*(5 - 2 - 1) + 13*r - 11*r + 14*r + 3*r + 3 - 3 + (1 - 3 + 4)*(7*r - 3*r - 5*r).", "answer": "22*r"} | Expand -2*r + r + 2*r + (-2*r - r + 5*r)*(5 - 2 - 1) + 13*r - 11*r + 14*r + 3*r + 3 - 3 + (1 - 3 + 4)*(7*r - 3*r - 5*r). | 22*r |
{"question": "What is 110222 (base 3) in base 11?", "answer": "299"} | What is 110222 (base 3) in base 11? | 299 |
{"question": "Evaluate (8/12)/(5/((-75)/(-2))).", "answer": "5"} | Evaluate (8/12)/(5/((-75)/(-2))). | 5 |
{"question": "Let x(y) = -2*y**2 - 3*y - 1. Let o be x(-3). Let c = o - -12. Calculate the highest common factor of c and 16.", "answer": "2"} | Let x(y) = -2*y**2 - 3*y - 1. Let o be x(-3). Let c = o - -12. Calculate the highest common factor of c and 16. | 2 |
{"question": "Is 5378760 a multiple of 45?", "answer": "True"} | Is 5378760 a multiple of 45? | True |
{"question": "Round -1.834579 to two dps.", "answer": "-1.83"} | Round -1.834579 to two dps. | -1.83 |
{"question": "What is ((-6)/15)/((-46)/(-115))?", "answer": "-1"} | What is ((-6)/15)/((-46)/(-115))? | -1 |
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