text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Calculate the remainder when 236 is divided by 10.", "answer": "6"} | Calculate the remainder when 236 is divided by 10. | 6 |
{"question": "What is the closest to -27 in -4, -2, 1/5?", "answer": "-4"} | What is the closest to -27 in -4, -2, 1/5? | -4 |
{"question": "Is 18 a factor of 566795?", "answer": "False"} | Is 18 a factor of 566795? | False |
{"question": "Let g = 14 - 9. Suppose g*z + 16 + 22 = -3*l, -20 = 4*l - z. Let k(h) = h**2 + 8*h + 9. Calculate k(l).", "answer": "-3"} | Let g = 14 - 9. Suppose g*z + 16 + 22 = -3*l, -20 = 4*l - z. Let k(h) = h**2 + 8*h + 9. Calculate k(l). | -3 |
{"question": "What is the square root of 110902 to the nearest integer?", "answer": "333"} | What is the square root of 110902 to the nearest integer? | 333 |
{"question": "124194320 divided by 3656", "answer": "33970"} | 124194320 divided by 3656 | 33970 |
{"question": "Simplify a**(10/7)/(a*a**(7/3)) assuming a is positive.", "answer": "a**(-40/21)"} | Simplify a**(10/7)/(a*a**(7/3)) assuming a is positive. | a**(-40/21) |
{"question": "In base 13, what is -24ab9 + -5?", "answer": "-24ac1"} | In base 13, what is -24ab9 + -5? | -24ac1 |
{"question": "What is the square root of 1311776 to the nearest integer?", "answer": "1145"} | What is the square root of 1311776 to the nearest integer? | 1145 |
{"question": "28 divided by -139545", "answer": "-4/19935"} | 28 divided by -139545 | -4/19935 |
{"question": "Evaluate (-225)/100 - (-195)/(-20).", "answer": "-12"} | Evaluate (-225)/100 - (-195)/(-20). | -12 |
{"question": "What is the greatest common factor of 108 and 264?", "answer": "12"} | What is the greatest common factor of 108 and 264? | 12 |
{"question": "Is 256495108 a multiple of 107?", "answer": "False"} | Is 256495108 a multiple of 107? | False |
{"question": "Let j = -104 - -167. Suppose d + j = 338. Is 11 a factor of d?", "answer": "True"} | Let j = -104 - -167. Suppose d + j = 338. Is 11 a factor of d? | True |
{"question": "Is 28762207 a composite number?", "answer": "False"} | Is 28762207 a composite number? | False |
{"question": "Let k = -45819168 + 45819167.856999389. Let w = k + 0.143. Round w to 7 dps.", "answer": "-0.0000006"} | Let k = -45819168 + 45819167.856999389. Let w = k + 0.143. Round w to 7 dps. | -0.0000006 |
{"question": "Let q = -71 + 84. Suppose -9*p = -q*p + 12. Let 2*d**p - 3*d**3 - 5*d**2 - 3*d**2 + 6*d**2 = 0. What is d?", "answer": "-2, 0"} | Let q = -71 + 84. Suppose -9*p = -q*p + 12. Let 2*d**p - 3*d**3 - 5*d**2 - 3*d**2 + 6*d**2 = 0. What is d? | -2, 0 |
{"question": "Let q(k) be the third derivative of -k**8/1512 + k**7/189 + k**6/540 - k**5/54 - 2*k**2 - 147*k. What is n in q(n) = 0?", "answer": "-1, 0, 1, 5"} | Let q(k) be the third derivative of -k**8/1512 + k**7/189 + k**6/540 - k**5/54 - 2*k**2 - 147*k. What is n in q(n) = 0? | -1, 0, 1, 5 |
{"question": "Let d(g) be the first derivative of 38*g + 140 - g**2 + 1/3*g**3 + 7/2*g**4. What is the second derivative of d(y) wrt y?", "answer": "84*y + 2"} | Let d(g) be the first derivative of 38*g + 140 - g**2 + 1/3*g**3 + 7/2*g**4. What is the second derivative of d(y) wrt y? | 84*y + 2 |
{"question": "Does 52 divide 19396?", "answer": "True"} | Does 52 divide 19396? | True |
{"question": "What comes next: 49, 181, 401, 709, 1105?", "answer": "1589"} | What comes next: 49, 181, 401, 709, 1105? | 1589 |
{"question": "What is prob of sequence eeu when three letters picked without replacement from {u: 6, e: 4}?", "answer": "1/10"} | What is prob of sequence eeu when three letters picked without replacement from {u: 6, e: 4}? | 1/10 |
{"question": "Simplify (1*sqrt(810))/(2*sqrt(125)).", "answer": "9*sqrt(2)/10"} | Simplify (1*sqrt(810))/(2*sqrt(125)). | 9*sqrt(2)/10 |
{"question": "What is the q'th term of -5664495, -11328996, -16993503, -22658016, -28322535, -33987060?", "answer": "-3*q**2 - 5664492*q"} | What is the q'th term of -5664495, -11328996, -16993503, -22658016, -28322535, -33987060? | -3*q**2 - 5664492*q |
{"question": "Which is the biggest value? (a) -4/9 (b) 19/2 (c) 2.7 (d) 62/51", "answer": "b"} | Which is the biggest value? (a) -4/9 (b) 19/2 (c) 2.7 (d) 62/51 | b |
{"question": "What is next in -3223, -6417, -9609, -12799?", "answer": "-15987"} | What is next in -3223, -6417, -9609, -12799? | -15987 |
{"question": "What is the ten thousands digit of 251636?", "answer": "5"} | What is the ten thousands digit of 251636? | 5 |
{"question": "Let p = 63.8 - 63.80000477. Round p to seven decimal places.", "answer": "-0.0000048"} | Let p = 63.8 - 63.80000477. Round p to seven decimal places. | -0.0000048 |
{"question": "Let u(y) = 49*y**2 + 4*y + 5. Determine u(-1).", "answer": "50"} | Let u(y) = 49*y**2 + 4*y + 5. Determine u(-1). | 50 |
{"question": "1/11 - (-17 + (-3570)/(-187))", "answer": "-2"} | 1/11 - (-17 + (-3570)/(-187)) | -2 |
{"question": "Let r(z) = -7*z - 7. Let b be r(-2). Let o(v) = -v + 5. Let k be o(b). Let g = k - -13. Does 10 divide g?", "answer": "False"} | Let r(z) = -7*z - 7. Let b be r(-2). Let o(v) = -v + 5. Let k be o(b). Let g = k - -13. Does 10 divide g? | False |
{"question": "Collect the terms in 9373 + 9390 - 18763 - 11*g.", "answer": "-11*g"} | Collect the terms in 9373 + 9390 - 18763 - 11*g. | -11*g |
{"question": "Collect the terms in -62*x**2 + 129*x**2 - 68*x**2.", "answer": "-x**2"} | Collect the terms in -62*x**2 + 129*x**2 - 68*x**2. | -x**2 |
{"question": "Are 2/13 and -13 equal?", "answer": "False"} | Are 2/13 and -13 equal? | False |
{"question": "What is prob of picking 1 m and 1 u when two letters picked without replacement from smnsmmmsnnu?", "answer": "4/55"} | What is prob of picking 1 m and 1 u when two letters picked without replacement from smnsmmmsnnu? | 4/55 |
{"question": "Calculate (9 - -4 - -16 - 11) + -51 - -18.", "answer": "-15"} | Calculate (9 - -4 - -16 - 11) + -51 - -18. | -15 |
{"question": "Let m = 3 + 1. Let f = 3251 + -3248. Suppose -f*h = -12, -l = m*l - h - 356. Is l a multiple of 36?", "answer": "True"} | Let m = 3 + 1. Let f = 3251 + -3248. Suppose -f*h = -12, -l = m*l - h - 356. Is l a multiple of 36? | True |
{"question": "Let f(y) = -399*y**2 - 3*y + 401*y**2 + 3*y. Let g(v) = 2*v. Let i(n) = n. Let d(x) = -5*g(x) + 12*i(x). Determine f(d(a)).", "answer": "8*a**2"} | Let f(y) = -399*y**2 - 3*y + 401*y**2 + 3*y. Let g(v) = 2*v. Let i(n) = n. Let d(x) = -5*g(x) + 12*i(x). Determine f(d(a)). | 8*a**2 |
{"question": "Collect the terms in 840970292141 + 8*s**3 - 840970292141 + 7*s**3.", "answer": "15*s**3"} | Collect the terms in 840970292141 + 8*s**3 - 840970292141 + 7*s**3. | 15*s**3 |
{"question": "Suppose 6*k - 37154 + 4838 = 0. Suppose 8*m + k = 1242. Is -517 at least m?", "answer": "True"} | Suppose 6*k - 37154 + 4838 = 0. Suppose 8*m + k = 1242. Is -517 at least m? | True |
{"question": "Suppose -c = 3*c - 80. Let z(t) = -t + 4. Let b be z(8). Let o be (1 + -3)/(2/b). What is the highest common divisor of o and c?", "answer": "4"} | Suppose -c = 3*c - 80. Let z(t) = -t + 4. Let b be z(8). Let o be (1 + -3)/(2/b). What is the highest common divisor of o and c? | 4 |
{"question": "Is (26/(-6) - (3 - 7))*-280569 composite?", "answer": "False"} | Is (26/(-6) - (3 - 7))*-280569 composite? | False |
{"question": "What is the product of 1 and -456?", "answer": "-456"} | What is the product of 1 and -456? | -456 |
{"question": "Calculate prob of sequence nrrr when four letters picked without replacement from rnrr.", "answer": "1/4"} | Calculate prob of sequence nrrr when four letters picked without replacement from rnrr. | 1/4 |
{"question": "Suppose -5*n + 8 = 53. Let c(k) = -k - 13. Give c(n).", "answer": "-4"} | Suppose -5*n + 8 = 53. Let c(k) = -k - 13. Give c(n). | -4 |
{"question": "Rearrange 23 - 35*j - 21 - 21*j - 2*j + 0 + 0 + (-1 + 4 - 1)*(-2 + 2 - j) + 3*j - 4*j + 3*j to the form d + t*j and give t.", "answer": "-58"} | Rearrange 23 - 35*j - 21 - 21*j - 2*j + 0 + 0 + (-1 + 4 - 1)*(-2 + 2 - j) + 3*j - 4*j + 3*j to the form d + t*j and give t. | -58 |
{"question": "How many minutes are there between 10:12 PM and 1:35 AM?", "answer": "203"} | How many minutes are there between 10:12 PM and 1:35 AM? | 203 |
{"question": "What is -1.8818981 rounded to 4 decimal places?", "answer": "-1.8819"} | What is -1.8818981 rounded to 4 decimal places? | -1.8819 |
{"question": "Calculate the remainder when 934974 is divided by 22.", "answer": "18"} | Calculate the remainder when 934974 is divided by 22. | 18 |
{"question": "How many nanograms are there in thirty-one halves of a microgram?", "answer": "15500"} | How many nanograms are there in thirty-one halves of a microgram? | 15500 |
{"question": "What is the hundreds digit of 13072?", "answer": "0"} | What is the hundreds digit of 13072? | 0 |
{"question": "Let t = 2497 + -2498. Sort -42, t, -2, -5 in decreasing order.", "answer": "t, -2, -5, -42"} | Let t = 2497 + -2498. Sort -42, t, -2, -5 in decreasing order. | t, -2, -5, -42 |
{"question": "Two letters picked without replacement from {c: 3, q: 7, m: 2}. What is prob of picking 1 q and 1 c?", "answer": "7/22"} | Two letters picked without replacement from {c: 3, q: 7, m: 2}. What is prob of picking 1 q and 1 c? | 7/22 |
{"question": "Divide 29 by -663392.", "answer": "-29/663392"} | Divide 29 by -663392. | -29/663392 |
{"question": "Let w = 21280 - 4301. Is w prime?", "answer": "True"} | Let w = 21280 - 4301. Is w prime? | True |
{"question": "Evaluate ((-848)/56 - -16)/(13/455).", "answer": "30"} | Evaluate ((-848)/56 - -16)/(13/455). | 30 |
{"question": "Solve -5*w + w = -4*q, -318*q + 316*q + 12 = -17*w - 33 for q.", "answer": "-3"} | Solve -5*w + w = -4*q, -318*q + 316*q + 12 = -17*w - 33 for q. | -3 |
{"question": "Calculate ((-672)/24)/(((-3)/(-3))/2).", "answer": "-56"} | Calculate ((-672)/24)/(((-3)/(-3))/2). | -56 |
{"question": "Let u(o) = -7 + o**3 + 5 + o - 2*o. What is u(0)?", "answer": "-2"} | Let u(o) = -7 + o**3 + 5 + o - 2*o. What is u(0)? | -2 |
{"question": "72216 (base 9) to base 10", "answer": "47562"} | 72216 (base 9) to base 10 | 47562 |
{"question": "Is 7875551 a composite number?", "answer": "False"} | Is 7875551 a composite number? | False |
{"question": "Solve -10931 = 525*x - 1662 + 16526 - 4270 for x.", "answer": "-41"} | Solve -10931 = 525*x - 1662 + 16526 - 4270 for x. | -41 |
{"question": "Let c be 77 - 74 - 3/(18/20). What is the second biggest value in -0.5, 1, 2/59, c?", "answer": "2/59"} | Let c be 77 - 74 - 3/(18/20). What is the second biggest value in -0.5, 1, 2/59, c? | 2/59 |
{"question": "What is the second derivative of -22*h - 36 + 75 - 2545*h**5 - 39 - 1936*h wrt h?", "answer": "-50900*h**3"} | What is the second derivative of -22*h - 36 + 75 - 2545*h**5 - 39 - 1936*h wrt h? | -50900*h**3 |
{"question": "Let n = -5 + 3. Let k = n + -1. Which is the third smallest value? (a) -4 (b) k (c) 0.5", "answer": "c"} | Let n = -5 + 3. Let k = n + -1. Which is the third smallest value? (a) -4 (b) k (c) 0.5 | c |
{"question": "What is 2026 to the power of 1/2, to the nearest integer?", "answer": "45"} | What is 2026 to the power of 1/2, to the nearest integer? | 45 |
{"question": "Which is the closest to -14? (a) 140/11 (b) 2 (c) -190/7", "answer": "c"} | Which is the closest to -14? (a) 140/11 (b) 2 (c) -190/7 | c |
{"question": "Suppose 33107776 = 29*i - 6157267. Is i prime?", "answer": "True"} | Suppose 33107776 = 29*i - 6157267. Is i prime? | True |
{"question": "What is 71122 to the power of 1/2, to the nearest integer?", "answer": "267"} | What is 71122 to the power of 1/2, to the nearest integer? | 267 |
{"question": "Let l(k) = 15*k**2 + 9*k - 78. Let o(j) = 17*j**2 + 11*j - 86. Let g(u) = 7*l(u) - 6*o(u). Calculate g(-3).", "answer": "6"} | Let l(k) = 15*k**2 + 9*k - 78. Let o(j) = 17*j**2 + 11*j - 86. Let g(u) = 7*l(u) - 6*o(u). Calculate g(-3). | 6 |
{"question": "Let r(x) = 0 - 3*x + 1 + 5 - 7. Give r(-1).", "answer": "2"} | Let r(x) = 0 - 3*x + 1 + 5 - 7. Give r(-1). | 2 |
{"question": "Let t(l) = l - 1. Let j be t(12). Suppose -4 + 4 = -j*m. Solve m*i = 4*i - 8 for i.", "answer": "2"} | Let t(l) = l - 1. Let j be t(12). Suppose -4 + 4 = -j*m. Solve m*i = 4*i - 8 for i. | 2 |
{"question": "Calculate the greatest common divisor of 552 and 14253146.", "answer": "46"} | Calculate the greatest common divisor of 552 and 14253146. | 46 |
{"question": "Let d(j) = j**3 + 19*j**2 + 37*j + 23. Let t be d(-17). Let o = t + 73. What is the remainder when 87 is divided by o?", "answer": "42"} | Let d(j) = j**3 + 19*j**2 + 37*j + 23. Let t be d(-17). Let o = t + 73. What is the remainder when 87 is divided by o? | 42 |
{"question": "Which is the smallest value? (a) 117 (b) 2 (c) -4/7 (d) -2/13", "answer": "c"} | Which is the smallest value? (a) 117 (b) 2 (c) -4/7 (d) -2/13 | c |
{"question": "Simplify ((b*b**(2/19)*b*b)/(b/(b**(-2/49)*b)))**46/((b/b**(1/2)*b*b**3)/(b*b**0*b)**(-6/11)) assuming b is positive.", "answer": "b**(2772723/20482)"} | Simplify ((b*b**(2/19)*b*b)/(b/(b**(-2/49)*b)))**46/((b/b**(1/2)*b*b**3)/(b*b**0*b)**(-6/11)) assuming b is positive. | b**(2772723/20482) |
{"question": "Suppose 5*t - 1931 = 3104. Is t composite?", "answer": "True"} | Suppose 5*t - 1931 = 3104. Is t composite? | True |
{"question": "Collect the terms in 18381*b - 6122*b - 6123*b - 1 - 6125*b.", "answer": "11*b - 1"} | Collect the terms in 18381*b - 6122*b - 6123*b - 1 - 6125*b. | 11*b - 1 |
{"question": "Let f(g) = g**3 + 32*g**2 - 35*g - 62. Let n be f(-33). Solve 2*y - 10 = n*y for y.", "answer": "-5"} | Let f(g) = g**3 + 32*g**2 - 35*g - 62. Let n be f(-33). Solve 2*y - 10 = n*y for y. | -5 |
{"question": "Suppose 0 = 13*m - 15*m + 22. What is the nearest to -2/3 in m, -0.3, -2/17?", "answer": "-0.3"} | Suppose 0 = 13*m - 15*m + 22. What is the nearest to -2/3 in m, -0.3, -2/17? | -0.3 |
{"question": "Suppose -30*i = -416*i + 8974 + 17274. Calculate the greatest common divisor of i and 61948.", "answer": "68"} | Suppose -30*i = -416*i + 8974 + 17274. Calculate the greatest common divisor of i and 61948. | 68 |
{"question": "Suppose 21*i - 2071 = 5*r + 19*i, 3*i + 6 = 0. Let b = 1142 + r. Does 62 divide b?", "answer": "False"} | Suppose 21*i - 2071 = 5*r + 19*i, 3*i + 6 = 0. Let b = 1142 + r. Does 62 divide b? | False |
{"question": "Let x(f) = -78*f + 13. Let v(k) = 39*k - 6. Give -13*v(i) - 6*x(i).", "answer": "-39*i"} | Let x(f) = -78*f + 13. Let v(k) = 39*k - 6. Give -13*v(i) - 6*x(i). | -39*i |
{"question": "Suppose 4*s = -3*u + 21, -2*s = 72*u - 73*u - 3. Put s, 57, 6 in increasing order.", "answer": "s, 6, 57"} | Suppose 4*s = -3*u + 21, -2*s = 72*u - 73*u - 3. Put s, 57, 6 in increasing order. | s, 6, 57 |
{"question": "Let s(c) = -c**3 - 3*c**2 + 2*c - 5. Suppose 5*l + 2*u = -20, 3*l + 4*u = -19 + 7. Let p be s(l). Sort 2, -3, p in descending order.", "answer": "p, 2, -3"} | Let s(c) = -c**3 - 3*c**2 + 2*c - 5. Suppose 5*l + 2*u = -20, 3*l + 4*u = -19 + 7. Let p be s(l). Sort 2, -3, p in descending order. | p, 2, -3 |
{"question": "Four letters picked without replacement from {g: 10, i: 4, y: 1, p: 5}. Give prob of picking 4 p.", "answer": "1/969"} | Four letters picked without replacement from {g: 10, i: 4, y: 1, p: 5}. Give prob of picking 4 p. | 1/969 |
{"question": "Suppose 10*f - 4 - 76 = 0. Solve -1 = 3*d + f for d.", "answer": "-3"} | Suppose 10*f - 4 - 76 = 0. Solve -1 = 3*d + f for d. | -3 |
{"question": "Suppose -3*m = -n - 6, 5*n - 33*m + 32*m = 12. Solve -v = -n*i + 5 + 2, -12 = -4*i + 2*v for i.", "answer": "1"} | Suppose -3*m = -n - 6, 5*n - 33*m + 32*m = 12. Solve -v = -n*i + 5 + 2, -12 = -4*i + 2*v for i. | 1 |
{"question": "Calculate the greatest common divisor of 18 and 163521.", "answer": "9"} | Calculate the greatest common divisor of 18 and 163521. | 9 |
{"question": "What is the value of (7*(-190)/(-140))/((-25)/50)?", "answer": "-19"} | What is the value of (7*(-190)/(-140))/((-25)/50)? | -19 |
{"question": "Let z(g) = -4*g - 1. Let p be 2/3 + (-15)/9. Let s be z(p). Find the common denominator of (-795)/36 + 1/s and -53/9.", "answer": "36"} | Let z(g) = -4*g - 1. Let p be 2/3 + (-15)/9. Let s be z(p). Find the common denominator of (-795)/36 + 1/s and -53/9. | 36 |
{"question": "-1cab (base 13) to base 4", "answer": "-1010032"} | -1cab (base 13) to base 4 | -1010032 |
{"question": "Let o(s) = -3*s + 19. Let d(p) = -2*p**2 - 6*p + 16. Let u be d(-4). What is o(u)?", "answer": "-5"} | Let o(s) = -3*s + 19. Let d(p) = -2*p**2 - 6*p + 16. Let u be d(-4). What is o(u)? | -5 |
{"question": "What is the nearest to -2/3 in 1/3, -2, -493, -17?", "answer": "1/3"} | What is the nearest to -2/3 in 1/3, -2, -493, -17? | 1/3 |
{"question": "What are the prime factors of 10663?", "answer": "10663"} | What are the prime factors of 10663? | 10663 |
{"question": "Simplify (c**2)**2/(c*c**(4/9)*c**(-2/15)*c)*(c/(c**(-9/5)*c)*c*c/c**(-2/3)*c)**(8/3) assuming c is positive.", "answer": "c**(244/15)"} | Simplify (c**2)**2/(c*c**(4/9)*c**(-2/15)*c)*(c/(c**(-9/5)*c)*c*c/c**(-2/3)*c)**(8/3) assuming c is positive. | c**(244/15) |
{"question": "What is the next term in 748, 1470, 2178, 2866, 3528, 4158?", "answer": "4750"} | What is the next term in 748, 1470, 2178, 2866, 3528, 4158? | 4750 |
{"question": "Rearrange (6*z**3 - 4*z**3 - 10*z**3)*(8*z - 9 - 28*z + 7) to l*z + t*z**3 + m*z**4 + y*z**2 + c and give t.", "answer": "16"} | Rearrange (6*z**3 - 4*z**3 - 10*z**3)*(8*z - 9 - 28*z + 7) to l*z + t*z**3 + m*z**4 + y*z**2 + c and give t. | 16 |
{"question": "Rearrange (132 + 297 - 146)*(y - 5*y - 5*y)*(3 - 1 - 3) to t + z*y and give z.", "answer": "2547"} | Rearrange (132 + 297 - 146)*(y - 5*y - 5*y)*(3 - 1 - 3) to t + z*y and give z. | 2547 |
{"question": "Collect the terms in -60*j - 110*j + 170*j - 3*j**2.", "answer": "-3*j**2"} | Collect the terms in -60*j - 110*j + 170*j - 3*j**2. | -3*j**2 |
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