text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "Let n(d) = 35*d**2 - 4*d + 5. Let f be n(-2). What is the greatest common divisor of 9 and f?", "answer": "9"} | Let n(d) = 35*d**2 - 4*d + 5. Let f be n(-2). What is the greatest common divisor of 9 and f? | 9 |
{"question": "Is 6637 a composite number?", "answer": "False"} | Is 6637 a composite number? | False |
{"question": "Which is the second smallest value? (a) 1/23 (b) -5/6 (c) 0 (d) -2.8", "answer": "b"} | Which is the second smallest value? (a) 1/23 (b) -5/6 (c) 0 (d) -2.8 | b |
{"question": "Let h(l) = -4*l**2. Let z(f) be the second derivative of -67*f**4/6 - 60*f. Give z(h(s)).", "answer": "-2144*s**4"} | Let h(l) = -4*l**2. Let z(f) be the second derivative of -67*f**4/6 - 60*f. Give z(h(s)). | -2144*s**4 |
{"question": "Factor -35609764*r + 35609764*r + r**3 + 904*r**2.", "answer": "r**2*(r + 904)"} | Factor -35609764*r + 35609764*r + r**3 + 904*r**2. | r**2*(r + 904) |
{"question": "What is the smallest value in 11, -2, -1/40?", "answer": "-2"} | What is the smallest value in 11, -2, -1/40? | -2 |
{"question": "Suppose 0 = -0*t - 2*t + 5*g, -2*t + 2*g = -6. Suppose 22 = -t*q - 2*f + 69, 35 = 5*q + 5*f. What is the tens digit of q?", "answer": "1"} | Suppose 0 = -0*t - 2*t + 5*g, -2*t + 2*g = -6. Suppose 22 = -t*q - 2*f + 69, 35 = 5*q + 5*f. What is the tens digit of q? | 1 |
{"question": "What is the square root of 16717834 to the nearest integer?", "answer": "4089"} | What is the square root of 16717834 to the nearest integer? | 4089 |
{"question": "What is the next term in 2, -24, -84, -190, -354?", "answer": "-588"} | What is the next term in 2, -24, -84, -190, -354? | -588 |
{"question": "Let j(n) = n**2 + 154*n - 26840. What is j(-258)?", "answer": "-8"} | Let j(n) = n**2 + 154*n - 26840. What is j(-258)? | -8 |
{"question": "What is prob of sequence sbbs when four letters picked without replacement from ssssbssbbs?", "answer": "1/20"} | What is prob of sequence sbbs when four letters picked without replacement from ssssbssbbs? | 1/20 |
{"question": "Expand (0*w**2 + 0*w**2 + 2*w**2)*(-1 + 0 - 1) + (-3 + 2 + 4)*(4*w**2 - 2*w**2 - 5*w**2).", "answer": "-13*w**2"} | Expand (0*w**2 + 0*w**2 + 2*w**2)*(-1 + 0 - 1) + (-3 + 2 + 4)*(4*w**2 - 2*w**2 - 5*w**2). | -13*w**2 |
{"question": "4355 divided by -871", "answer": "-5"} | 4355 divided by -871 | -5 |
{"question": "What is the hundreds digit of 267565006?", "answer": "0"} | What is the hundreds digit of 267565006? | 0 |
{"question": "Does 743 divide 23651608?", "answer": "False"} | Does 743 divide 23651608? | False |
{"question": "Let z = -68242 + 68242. Let l(x) = -4*x**2 + x. Let a be l(1). Put a, 11, 3, z in decreasing order.", "answer": "11, 3, z, a"} | Let z = -68242 + 68242. Let l(x) = -4*x**2 + x. Let a be l(1). Put a, 11, 3, z in decreasing order. | 11, 3, z, a |
{"question": "Calculate 44 divided by -1.", "answer": "-44"} | Calculate 44 divided by -1. | -44 |
{"question": "Solve 2*l = 5*o + 43, 49*o - 48*o - 2*l = -15 for o.", "answer": "-7"} | Solve 2*l = 5*o + 43, 49*o - 48*o - 2*l = -15 for o. | -7 |
{"question": "Divide 1307 by -238.", "answer": "-1307/238"} | Divide 1307 by -238. | -1307/238 |
{"question": "Let h(m) = -m**2 + 8*m - 5. Let i be h(5). Suppose -d + i = -2. What is the highest common factor of 12 and d?", "answer": "12"} | Let h(m) = -m**2 + 8*m - 5. Let i be h(5). Suppose -d + i = -2. What is the highest common factor of 12 and d? | 12 |
{"question": "What is (3/(-2))/(27/(-90))?", "answer": "5"} | What is (3/(-2))/(27/(-90))? | 5 |
{"question": "Let u = 9.9 - -3.1. Let s = u - 13.1. Which is the third biggest value? (a) 2 (b) s (c) 0.1", "answer": "b"} | Let u = 9.9 - -3.1. Let s = u - 13.1. Which is the third biggest value? (a) 2 (b) s (c) 0.1 | b |
{"question": "Suppose 0 = -h - h. Let r(p) = p + 5. Let t be r(h). Suppose t*j = y + 256, -5*j + 161 + 91 = -2*y. Calculate the remainder when j is divided by 18.", "answer": "16"} | Suppose 0 = -h - h. Let r(p) = p + 5. Let t be r(h). Suppose t*j = y + 256, -5*j + 161 + 91 = -2*y. Calculate the remainder when j is divided by 18. | 16 |
{"question": "Let q(h) be the third derivative of h**10/1008 - h**6/180 - h**3 + 4*h**2. Let o(s) be the first derivative of q(s). What is the third derivative of o(t) wrt t?", "answer": "600*t**3"} | Let q(h) be the third derivative of h**10/1008 - h**6/180 - h**3 + 4*h**2. Let o(s) be the first derivative of q(s). What is the third derivative of o(t) wrt t? | 600*t**3 |
{"question": "Factor -2*v**2/11 - 7276*v/11 - 87024/11.", "answer": "-2*(v + 12)*(v + 3626)/11"} | Factor -2*v**2/11 - 7276*v/11 - 87024/11. | -2*(v + 12)*(v + 3626)/11 |
{"question": "Solve k**4/9 - 2645*k**3/9 + 1471192*k**2/9 - 25978372*k = 0 for k.", "answer": "0, 346, 1953"} | Solve k**4/9 - 2645*k**3/9 + 1471192*k**2/9 - 25978372*k = 0 for k. | 0, 346, 1953 |
{"question": "Suppose 0*k = 4*k - 92. Is 23 a factor of k?", "answer": "True"} | Suppose 0*k = 4*k - 92. Is 23 a factor of k? | True |
{"question": "Suppose 73*g - 69*g - 4*f = 31764, -5*g + 39705 = 4*f. What is the hundreds digit of g?", "answer": "9"} | Suppose 73*g - 69*g - 4*f = 31764, -5*g + 39705 = 4*f. What is the hundreds digit of g? | 9 |
{"question": "List the prime factors of 13338881.", "answer": "53, 251677"} | List the prime factors of 13338881. | 53, 251677 |
{"question": "What is the closest to 0 in 22567, 0.4, -0.07?", "answer": "-0.07"} | What is the closest to 0 in 22567, 0.4, -0.07? | -0.07 |
{"question": "Suppose -22 = 3*s + 2*x, 3*x = x - 10. Let o be (s/26)/1 - 335/(-65). Suppose -26 = -7*v - o. Solve v = -b + 6 for b.", "answer": "3"} | Suppose -22 = 3*s + 2*x, 3*x = x - 10. Let o be (s/26)/1 - 335/(-65). Suppose -26 = -7*v - o. Solve v = -b + 6 for b. | 3 |
{"question": "What is the value of -1 + 5 + (103 - 122) - 14?", "answer": "-29"} | What is the value of -1 + 5 + (103 - 122) - 14? | -29 |
{"question": "List the prime factors of 779948132.", "answer": "2, 5527, 35279"} | List the prime factors of 779948132. | 2, 5527, 35279 |
{"question": "Expand (21*s**2 - 31*s**2 - 30*s**2)*(s**2 - 2*s**2 + 0*s**2).", "answer": "40*s**4"} | Expand (21*s**2 - 31*s**2 - 30*s**2)*(s**2 - 2*s**2 + 0*s**2). | 40*s**4 |
{"question": "-4.28 * -0.2", "answer": "0.856"} | -4.28 * -0.2 | 0.856 |
{"question": "Let j(v) = 1 + 0*v - 20*v**3 - v**2 + 4*v + 19*v**3 - 3*v. Let q be j(-4). Let z = 48 - q. Solve u - 4 = z*u for u.", "answer": "-2"} | Let j(v) = 1 + 0*v - 20*v**3 - v**2 + 4*v + 19*v**3 - 3*v. Let q be j(-4). Let z = 48 - q. Solve u - 4 = z*u for u. | -2 |
{"question": "List the prime factors of 95784.", "answer": "2, 3, 13, 307"} | List the prime factors of 95784. | 2, 3, 13, 307 |
{"question": "Suppose 4 - 13 = -3*k. Find the second derivative of -107*l**k + 12*l + 101*l**3 - 4*l wrt l.", "answer": "-36*l"} | Suppose 4 - 13 = -3*k. Find the second derivative of -107*l**k + 12*l + 101*l**3 - 4*l wrt l. | -36*l |
{"question": "What is (3*(-3)/(-3))/(5/(-1))?", "answer": "-3/5"} | What is (3*(-3)/(-3))/(5/(-1))? | -3/5 |
{"question": "Expand (7*p**3 - 3*p**3 - p**3)*(-9 + 10 - 13*p + 25*p).", "answer": "36*p**4 + 3*p**3"} | Expand (7*p**3 - 3*p**3 - p**3)*(-9 + 10 - 13*p + 25*p). | 36*p**4 + 3*p**3 |
{"question": "Let q(y) = 46*y**2 - 1. What is the units digit of q(2)?", "answer": "3"} | Let q(y) = 46*y**2 - 1. What is the units digit of q(2)? | 3 |
{"question": "Solve -20*n**4 - 14592*n**3 - 2803644*n**2/5 - 4345952*n/5 - 1719744/5 = 0.", "answer": "-689, -39, -4/5"} | Solve -20*n**4 - 14592*n**3 - 2803644*n**2/5 - 4345952*n/5 - 1719744/5 = 0. | -689, -39, -4/5 |
{"question": "Suppose -7 = 5*a + 13. Let u be (3 + a)/(3/(-12)). Suppose -12604 = -w + u*w - 2*s, -w - 2*s = 4196. What is w rounded to the nearest one hundred?", "answer": "-4200"} | Suppose -7 = 5*a + 13. Let u be (3 + a)/(3/(-12)). Suppose -12604 = -w + u*w - 2*s, -w - 2*s = 4196. What is w rounded to the nearest one hundred? | -4200 |
{"question": "Which is smaller: -38 or 6?", "answer": "-38"} | Which is smaller: -38 or 6? | -38 |
{"question": "Let i = -29 - -24. Put i, -0.06, 3/2 in increasing order.", "answer": "i, -0.06, 3/2"} | Let i = -29 - -24. Put i, -0.06, 3/2 in increasing order. | i, -0.06, 3/2 |
{"question": "Does 9 divide 1272263?", "answer": "False"} | Does 9 divide 1272263? | False |
{"question": "Calculate the common denominator of -45 and 5/120567774.", "answer": "120567774"} | Calculate the common denominator of -45 and 5/120567774. | 120567774 |
{"question": "What is (-3 - 0 - 9) + 140 + -113?", "answer": "15"} | What is (-3 - 0 - 9) + 140 + -113? | 15 |
{"question": "Suppose -2*v - v = 4*k - 16378, 5*k = -v + 20456. Calculate the remainder when k is divided by 186.", "answer": "184"} | Suppose -2*v - v = 4*k - 16378, 5*k = -v + 20456. Calculate the remainder when k is divided by 186. | 184 |
{"question": "Let d(a) be the third derivative of -a**6/4 + 25*a**5/12 - 35*a**4/6 + 10*a**3/3 - 18*a**2. Factor d(z).", "answer": "-5*(z - 2)**2*(6*z - 1)"} | Let d(a) be the third derivative of -a**6/4 + 25*a**5/12 - 35*a**4/6 + 10*a**3/3 - 18*a**2. Factor d(z). | -5*(z - 2)**2*(6*z - 1) |
{"question": "What is prob of picking 3 l when three letters picked without replacement from mllllolllomllolll?", "answer": "11/34"} | What is prob of picking 3 l when three letters picked without replacement from mllllolllomllolll? | 11/34 |
{"question": "Solve 0 = -34*b + 35*b + 4 for b.", "answer": "-4"} | Solve 0 = -34*b + 35*b + 4 for b. | -4 |
{"question": "Which is the fifth smallest value? (a) 23 (b) 0.7 (c) 0.01 (d) 2/15 (e) -7/4 (f) -5 (g) 0.3", "answer": "g"} | Which is the fifth smallest value? (a) 23 (b) 0.7 (c) 0.01 (d) 2/15 (e) -7/4 (f) -5 (g) 0.3 | g |
{"question": "Is 25 at least -2?", "answer": "True"} | Is 25 at least -2? | True |
{"question": "Calculate 17 - ((-4 - -4) + 10).", "answer": "7"} | Calculate 17 - ((-4 - -4) + 10). | 7 |
{"question": "Let m = 0.083 + -0.229. Let p = m + 0.14669. Round p to 4 decimal places.", "answer": "0.0007"} | Let m = 0.083 + -0.229. Let p = m + 0.14669. Round p to 4 decimal places. | 0.0007 |
{"question": "What is the third derivative of 12416088*q**3 + 2163*q**2 - 10*q - 86?", "answer": "74496528"} | What is the third derivative of 12416088*q**3 + 2163*q**2 - 10*q - 86? | 74496528 |
{"question": "Solve -516 = -160*d + 107*d - 1841 for d.", "answer": "-25"} | Solve -516 = -160*d + 107*d - 1841 for d. | -25 |
{"question": "Let j(r) = -22*r + 27. Let n be j(1). Let y(v) = 21*v - 15. Let p(x) = -4*x. Let t(l) = 3*p(l) + y(l). Let o(g) = 5*g - 8. Determine n*o(q) - 3*t(q).", "answer": "-2*q + 5"} | Let j(r) = -22*r + 27. Let n be j(1). Let y(v) = 21*v - 15. Let p(x) = -4*x. Let t(l) = 3*p(l) + y(l). Let o(g) = 5*g - 8. Determine n*o(q) - 3*t(q). | -2*q + 5 |
{"question": "Calculate the remainder when 27330963 is divided by 235.", "answer": "228"} | Calculate the remainder when 27330963 is divided by 235. | 228 |
{"question": "How many millilitres are there in 202.1953 litres?", "answer": "202195.3"} | How many millilitres are there in 202.1953 litres? | 202195.3 |
{"question": "Let s be (170/136)/((-1)/4). Let d be (-142)/4*(s + (-3 - -2)). Suppose -2*h + 2*j + 418 = 0, 4*h + d = 5*h + 3*j. Is h a multiple of 21?", "answer": "True"} | Let s be (170/136)/((-1)/4). Let d be (-142)/4*(s + (-3 - -2)). Suppose -2*h + 2*j + 418 = 0, 4*h + d = 5*h + 3*j. Is h a multiple of 21? | True |
{"question": "What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 13, w: 6}?", "answer": "156/323"} | What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 13, w: 6}? | 156/323 |
{"question": "Let t = 1636 + -2532. Let b = 959 + t. Calculate the lowest common multiple of 63 and b.", "answer": "63"} | Let t = 1636 + -2532. Let b = 959 + t. Calculate the lowest common multiple of 63 and b. | 63 |
{"question": "Which is greater: -9 or 1745?", "answer": "1745"} | Which is greater: -9 or 1745? | 1745 |
{"question": "Let u(m) be the third derivative of m**5/60 - m**4/3 - 2*m**3 - m**2. Let v be u(9). What is the least common multiple of 22 and (-256)/(-12) - 2/v?", "answer": "22"} | Let u(m) be the third derivative of m**5/60 - m**4/3 - 2*m**3 - m**2. Let v be u(9). What is the least common multiple of 22 and (-256)/(-12) - 2/v? | 22 |
{"question": "What is 95694 to the power of 1/2, to the nearest integer?", "answer": "309"} | What is 95694 to the power of 1/2, to the nearest integer? | 309 |
{"question": "Total of 4 and 32204.3.", "answer": "32208.3"} | Total of 4 and 32204.3. | 32208.3 |
{"question": "0*-5321", "answer": "0"} | 0*-5321 | 0 |
{"question": "What is 0.00452444 rounded to 5 dps?", "answer": "0.00452"} | What is 0.00452444 rounded to 5 dps? | 0.00452 |
{"question": "Let g = 67 + -48. What is the remainder when 35 is divided by g?", "answer": "16"} | Let g = 67 + -48. What is the remainder when 35 is divided by g? | 16 |
{"question": "What is next in -1490, -1478, -1454, -1412, -1346?", "answer": "-1250"} | What is next in -1490, -1478, -1454, -1412, -1346? | -1250 |
{"question": "What is the units digit of 28512869?", "answer": "9"} | What is the units digit of 28512869? | 9 |
{"question": "Calculate the remainder when 5464 is divided by 4199.", "answer": "1265"} | Calculate the remainder when 5464 is divided by 4199. | 1265 |
{"question": "Calculate the greatest common divisor of 284 and 12.", "answer": "4"} | Calculate the greatest common divisor of 284 and 12. | 4 |
{"question": "Suppose -18*k - 33*k = -23*k - 196. Let c(p) = p**2 - 45*p + 263. Give c(k).", "answer": "-3"} | Suppose -18*k - 33*k = -23*k - 196. Let c(p) = p**2 - 45*p + 263. Give c(k). | -3 |
{"question": "What comes next: -31, -17, 1, 23?", "answer": "49"} | What comes next: -31, -17, 1, 23? | 49 |
{"question": "Solve -1307*l + 1842*l = -1070 for l.", "answer": "-2"} | Solve -1307*l + 1842*l = -1070 for l. | -2 |
{"question": "What is the thousands digit of 64476?", "answer": "4"} | What is the thousands digit of 64476? | 4 |
{"question": "Let q = 219004.98375 + -218946.983750085. Let g = q + -58. Round g to seven dps.", "answer": "-0.0000001"} | Let q = 219004.98375 + -218946.983750085. Let g = q + -58. Round g to seven dps. | -0.0000001 |
{"question": "Let b be -3 + 2/2 + 39003. Let a = b + -76901. Round a to the nearest one thousand.", "answer": "-38000"} | Let b be -3 + 2/2 + 39003. Let a = b + -76901. Round a to the nearest one thousand. | -38000 |
{"question": "Suppose -9*j + 23 + 22 = 0. Suppose 2*w + j = -5*i + w, -2*i + 5*w + 25 = 0. Let a(z) = -z**3 + 3*z**2 + 5*z. Let y be a(4). Solve -12 = -i*f + y*f for f.", "answer": "-3"} | Suppose -9*j + 23 + 22 = 0. Suppose 2*w + j = -5*i + w, -2*i + 5*w + 25 = 0. Let a(z) = -z**3 + 3*z**2 + 5*z. Let y be a(4). Solve -12 = -i*f + y*f for f. | -3 |
{"question": "Let c(k) = -4174912*k - 25049464. Give c(-6).", "answer": "8"} | Let c(k) = -4174912*k - 25049464. Give c(-6). | 8 |
{"question": "What is the smallest common multiple of 320 and 6080?", "answer": "6080"} | What is the smallest common multiple of 320 and 6080? | 6080 |
{"question": "Simplify (-4*sqrt(66)*-1)/(-5*sqrt(96)).", "answer": "-sqrt(11)/5"} | Simplify (-4*sqrt(66)*-1)/(-5*sqrt(96)). | -sqrt(11)/5 |
{"question": "Which is smaller: 190 or -1.8?", "answer": "-1.8"} | Which is smaller: 190 or -1.8? | -1.8 |
{"question": "What is the closest to 10048 in -3, -1, 14, 0.02, 5?", "answer": "14"} | What is the closest to 10048 in -3, -1, 14, 0.02, 5? | 14 |
{"question": "Let d = 34 + -31. Solve 4*o + 24 = -2*n, -3*n - 19 = -n + d*o for n.", "answer": "-2"} | Let d = 34 + -31. Solve 4*o + 24 = -2*n, -3*n - 19 = -n + d*o for n. | -2 |
{"question": "What is the biggest value in -2/11, 4, -1/6, 0.048, -3?", "answer": "4"} | What is the biggest value in -2/11, 4, -1/6, 0.048, -3? | 4 |
{"question": "Suppose -2*t = -4*t - 2*b + 50, 4*b + 80 = 5*t. What is the units digit of ((-35)/t)/(1/(-28))?", "answer": "9"} | Suppose -2*t = -4*t - 2*b + 50, 4*b + 80 = 5*t. What is the units digit of ((-35)/t)/(1/(-28))? | 9 |
{"question": "Let l = 4 + -2. Suppose -8 = -6*p + 2*p. Factor 4*r**l + 2*r + 2*r**2 - 2*r**p.", "answer": "2*r*(2*r + 1)"} | Let l = 4 + -2. Suppose -8 = -6*p + 2*p. Factor 4*r**l + 2*r + 2*r**2 - 2*r**p. | 2*r*(2*r + 1) |
{"question": "Expand 10 - 2*o**2 - 4 - 4 + (o**2 + 3*o**2 - 5*o**2)*(0 + 5 - 3).", "answer": "-4*o**2 + 2"} | Expand 10 - 2*o**2 - 4 - 4 + (o**2 + 3*o**2 - 5*o**2)*(0 + 5 - 3). | -4*o**2 + 2 |
{"question": "Let u(n) = -18*n + 63*n - 9*n - 34*n. Let h(f) = -f**2 + 5*f - 2. Let c be h(4). Let b(l) = -5 + 5 + 26*l**c. What is b(u(a))?", "answer": "104*a**2"} | Let u(n) = -18*n + 63*n - 9*n - 34*n. Let h(f) = -f**2 + 5*f - 2. Let c be h(4). Let b(l) = -5 + 5 + 26*l**c. What is b(u(a))? | 104*a**2 |
{"question": "Simplify (sqrt(13) - (-2 + sqrt(26)/sqrt(2) + sqrt(13))) + 4 + 2.", "answer": "-sqrt(13) + 8"} | Simplify (sqrt(13) - (-2 + sqrt(26)/sqrt(2) + sqrt(13))) + 4 + 2. | -sqrt(13) + 8 |
{"question": "What is the highest common factor of 488 and 859734?", "answer": "122"} | What is the highest common factor of 488 and 859734? | 122 |
{"question": "Let v be (1 - -42) + 320 + -363. Determine t, given that v - 4/5*t**2 + 6/5*t**3 + 0*t = 0.", "answer": "0, 2/3"} | Let v be (1 - -42) + 320 + -363. Determine t, given that v - 4/5*t**2 + 6/5*t**3 + 0*t = 0. | 0, 2/3 |
{"question": "Is 263445168 a multiple of 1212?", "answer": "True"} | Is 263445168 a multiple of 1212? | True |
{"question": "Simplify ((k*((k*((k**(28/3)*k)/k)/k)/k)/k)/k)/k**(-12) assuming k is positive.", "answer": "k**(58/3)"} | Simplify ((k*((k*((k**(28/3)*k)/k)/k)/k)/k)/k)/k**(-12) assuming k is positive. | k**(58/3) |
{"question": "Which is greater: -13/1122 or 541.6?", "answer": "541.6"} | Which is greater: -13/1122 or 541.6? | 541.6 |
{"question": "Let o = 213841063/1610538116 - 2/1926481. What is the common denominator of 91/8 and o?", "answer": "1672"} | Let o = 213841063/1610538116 - 2/1926481. What is the common denominator of 91/8 and o? | 1672 |
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