text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Does 5009 divide 291755076?", "answer": "False"} | Does 5009 divide 291755076? | False |
{"question": "Suppose 4*f - 128 = -12. Suppose -5*h - z = -1369 + 65, h - 262 = z. What is the greatest common divisor of h and f?", "answer": "29"} | Suppose 4*f - 128 = -12. Suppose -5*h - z = -1369 + 65, h - 262 = z. What is the greatest common divisor of h and f? | 29 |
{"question": "What is the fourth root of 5936 to the nearest integer?", "answer": "9"} | What is the fourth root of 5936 to the nearest integer? | 9 |
{"question": "Let t(k) = -5189*k**3 + 6*k**2 + 9*k + 14. Let u be t(-6). Round u to the nearest one hundred thousand.", "answer": "1100000"} | Let t(k) = -5189*k**3 + 6*k**2 + 9*k + 14. Let u be t(-6). Round u to the nearest one hundred thousand. | 1100000 |
{"question": "Simplify ((i/((i**(-3/2)/i)/i))/(i**(-3/4)*i))/(i**(-11)/(i/i**11)) assuming i is positive.", "answer": "i**(21/4)"} | Simplify ((i/((i**(-3/2)/i)/i))/(i**(-3/4)*i))/(i**(-11)/(i/i**11)) assuming i is positive. | i**(21/4) |
{"question": "Let v = 127 + -129. Which is the nearest to -2/7? (a) 2 (b) v (c) -4/5", "answer": "c"} | Let v = 127 + -129. Which is the nearest to -2/7? (a) 2 (b) v (c) -4/5 | c |
{"question": "Let a(v) = -3*v**2 - 3*v. Calculate a(-2).", "answer": "-6"} | Let a(v) = -3*v**2 - 3*v. Calculate a(-2). | -6 |
{"question": "Rearrange -4*u + 2*u - 2*u**2 - u**4 + 2*u**4 + u to q*u**2 + b*u**3 + c*u + p*u**4 + r and give p.", "answer": "1"} | Rearrange -4*u + 2*u - 2*u**2 - u**4 + 2*u**4 + u to q*u**2 + b*u**3 + c*u + p*u**4 + r and give p. | 1 |
{"question": "What is 2 times 1625434?", "answer": "3250868"} | What is 2 times 1625434? | 3250868 |
{"question": "Let v(y) be the first derivative of y**4/24 + 3*y**3/2 - 97*y**2/2 - 25. Let b(z) be the second derivative of v(z). Determine b(-3).", "answer": "6"} | Let v(y) be the first derivative of y**4/24 + 3*y**3/2 - 97*y**2/2 - 25. Let b(z) be the second derivative of v(z). Determine b(-3). | 6 |
{"question": "How many minutes are there between 5:29 PM and 6:11 PM?", "answer": "42"} | How many minutes are there between 5:29 PM and 6:11 PM? | 42 |
{"question": "Calculate prob of sequence nisi when four letters picked without replacement from {f: 1, s: 2, i: 3, n: 1}.", "answer": "1/70"} | Calculate prob of sequence nisi when four letters picked without replacement from {f: 1, s: 2, i: 3, n: 1}. | 1/70 |
{"question": "Let p(x) = -x**2 - 9*x - 23. Determine p(-11).", "answer": "-45"} | Let p(x) = -x**2 - 9*x - 23. Determine p(-11). | -45 |
{"question": "Suppose 3 + 5 = v - 4*a, -12 = 3*a. Let s = v - -13. Suppose s*p - 19 = 1. Solve 2*m + 0*m = p*x - 18, -5*x + 5*m = -20 for x.", "answer": "5"} | Suppose 3 + 5 = v - 4*a, -12 = 3*a. Let s = v - -13. Suppose s*p - 19 = 1. Solve 2*m + 0*m = p*x - 18, -5*x + 5*m = -20 for x. | 5 |
{"question": "Simplify ((a**(-1/4))**(-3))**17/((a**0)**42/(a/(a*a**2*a)*a*a**(-2/3)/a)) assuming a is positive.", "answer": "a**(109/12)"} | Simplify ((a**(-1/4))**(-3))**17/((a**0)**42/(a/(a*a**2*a)*a*a**(-2/3)/a)) assuming a is positive. | a**(109/12) |
{"question": "What is the ten thousands digit of 87192?", "answer": "8"} | What is the ten thousands digit of 87192? | 8 |
{"question": "How many minutes are there between 1:30 PM and 1:29 AM?", "answer": "719"} | How many minutes are there between 1:30 PM and 1:29 AM? | 719 |
{"question": "Calculate (-3 - (-2 + 2)) + -3.", "answer": "-6"} | Calculate (-3 - (-2 + 2)) + -3. | -6 |
{"question": "What is the remainder when 95 is divided by 2/(((-420)/(-78) - 5)*6/15)?", "answer": "4"} | What is the remainder when 95 is divided by 2/(((-420)/(-78) - 5)*6/15)? | 4 |
{"question": "Is (10*(-11)/(-330))/(1/12147) composite?", "answer": "False"} | Is (10*(-11)/(-330))/(1/12147) composite? | False |
{"question": "Let g(k) be the second derivative of -k**4/6 + 8*k**3 + 52*k**2 - k - 52. Solve g(i) = 0 for i.", "answer": "-2, 26"} | Let g(k) be the second derivative of -k**4/6 + 8*k**3 + 52*k**2 - k - 52. Solve g(i) = 0 for i. | -2, 26 |
{"question": "Let i(o) be the second derivative of o**6/40 - 3*o**5/4 + 19*o**4/16 - 693*o. Suppose i(j) = 0. Calculate j.", "answer": "0, 1, 19"} | Let i(o) be the second derivative of o**6/40 - 3*o**5/4 + 19*o**4/16 - 693*o. Suppose i(j) = 0. Calculate j. | 0, 1, 19 |
{"question": "Is 32081 composite?", "answer": "True"} | Is 32081 composite? | True |
{"question": "Let p be (93/(-155))/((-6)/3 - -1). Let a = 15 - 9.8. Let q = 0.2 - a. Sort -0.3, p, q in ascending order.", "answer": "q, -0.3, p"} | Let p be (93/(-155))/((-6)/3 - -1). Let a = 15 - 9.8. Let q = 0.2 - a. Sort -0.3, p, q in ascending order. | q, -0.3, p |
{"question": "Calculate the remainder when 10639716 is divided by 425588.", "answer": "16"} | Calculate the remainder when 10639716 is divided by 425588. | 16 |
{"question": "Let l(r) = -9*r + 10. Let y be l(11). Let x = 42 - y. Is 15 a factor of x?", "answer": "False"} | Let l(r) = -9*r + 10. Let y be l(11). Let x = 42 - y. Is 15 a factor of x? | False |
{"question": "Round 0.1924001 to 3 dps.", "answer": "0.192"} | Round 0.1924001 to 3 dps. | 0.192 |
{"question": "Let g(z) = z. Let t(s) = s**2 - 5*s - 3. Let j(a) = 3*g(a) + t(a). Let p(f) = -f + 9. Let v be p(4). What is the units digit of j(v)?", "answer": "2"} | Let g(z) = z. Let t(s) = s**2 - 5*s - 3. Let j(a) = 3*g(a) + t(a). Let p(f) = -f + 9. Let v be p(4). What is the units digit of j(v)? | 2 |
{"question": "Is 16500079 a prime number?", "answer": "True"} | Is 16500079 a prime number? | True |
{"question": "Let r(z) = -z**2 - 3*z + 3. Let d = -7 + 4. Let q be r(d). What is the greatest common divisor of 12 and q?", "answer": "3"} | Let r(z) = -z**2 - 3*z + 3. Let d = -7 + 4. Let q be r(d). What is the greatest common divisor of 12 and q? | 3 |
{"question": "Solve -227*z - 896*z + 1486 - 5639 = 54243 for z.", "answer": "-52"} | Solve -227*z - 896*z + 1486 - 5639 = 54243 for z. | -52 |
{"question": "What is 4435905 to the power of 1/2, to the nearest integer?", "answer": "2106"} | What is 4435905 to the power of 1/2, to the nearest integer? | 2106 |
{"question": "Let k = -5601/13 - -431. Factor -6/13*c + k*c**2 + 0.", "answer": "2*c*(c - 3)/13"} | Let k = -5601/13 - -431. Factor -6/13*c + k*c**2 + 0. | 2*c*(c - 3)/13 |
{"question": "Let x = 0 + 1. Suppose d + 6 = o, o + 4*d + 15 - x = 0. Find the second derivative of 0*r - 5*r**5 + o*r**5 + r wrt r.", "answer": "-60*r**3"} | Let x = 0 + 1. Suppose d + 6 = o, o + 4*d + 15 - x = 0. Find the second derivative of 0*r - 5*r**5 + o*r**5 + r wrt r. | -60*r**3 |
{"question": "Express 2 + 3 - 1829*f - 2*f**2 + 1831*f in the form z*f**2 + u + v*f and give z.", "answer": "-2"} | Express 2 + 3 - 1829*f - 2*f**2 + 1831*f in the form z*f**2 + u + v*f and give z. | -2 |
{"question": "What is 1*((-7)/(-21) + (-1)/(-6))?", "answer": "1/2"} | What is 1*((-7)/(-21) + (-1)/(-6))? | 1/2 |
{"question": "Total of 590886641 and 163828.", "answer": "591050469"} | Total of 590886641 and 163828. | 591050469 |
{"question": "Let p(z) = 38571*z. Let x(s) = 5837*s. Calculate p(x(u)).", "answer": "225138927*u"} | Let p(z) = 38571*z. Let x(s) = 5837*s. Calculate p(x(u)). | 225138927*u |
{"question": "What is the greatest common divisor of 25 and 1945315?", "answer": "5"} | What is the greatest common divisor of 25 and 1945315? | 5 |
{"question": "Calculate the common denominator of 49/20 and -9/8.", "answer": "40"} | Calculate the common denominator of 49/20 and -9/8. | 40 |
{"question": "Divide 122 by 2085.", "answer": "122/2085"} | Divide 122 by 2085. | 122/2085 |
{"question": "What is the remainder when 2083661 is divided by 30642?", "answer": "5"} | What is the remainder when 2083661 is divided by 30642? | 5 |
{"question": "What is the third root of 3526282474 to the nearest integer?", "answer": "1522"} | What is the third root of 3526282474 to the nearest integer? | 1522 |
{"question": "Is 5559557 a composite number?", "answer": "True"} | Is 5559557 a composite number? | True |
{"question": "Suppose 2*v = 4*v - 352. Suppose -v + 176 = 6*o. Solve -2*z = o, 3*c - 7 = 4*z - 4 for c.", "answer": "1"} | Suppose 2*v = 4*v - 352. Suppose -v + 176 = 6*o. Solve -2*z = o, 3*c - 7 = 4*z - 4 for c. | 1 |
{"question": "Rearrange 20*z - 5*z + 2*z + 3052940 - 3053242 to v + o*z and give o.", "answer": "17"} | Rearrange 20*z - 5*z + 2*z + 3052940 - 3053242 to v + o*z and give o. | 17 |
{"question": "Is 826784837 a composite number?", "answer": "False"} | Is 826784837 a composite number? | False |
{"question": "Let c = -33836 - -33835.999901081. What is c rounded to 6 dps?", "answer": "-0.000099"} | Let c = -33836 - -33835.999901081. What is c rounded to 6 dps? | -0.000099 |
{"question": "What is the next term in 65869898, 65869896, 65869894?", "answer": "65869892"} | What is the next term in 65869898, 65869896, 65869894? | 65869892 |
{"question": "Suppose 4*m - g = 4*g + 26, -26 = -5*m + 3*g. Calculate the highest common divisor of 12 and m.", "answer": "4"} | Suppose 4*m - g = 4*g + 26, -26 = -5*m + 3*g. Calculate the highest common divisor of 12 and m. | 4 |
{"question": "Let p = -70 + 64. Let o be -2 + (-21)/p - (-78)/4. Find the second derivative of 82*w - 158*w + 102*w + o*w**3 wrt w.", "answer": "126*w"} | Let p = -70 + 64. Let o be -2 + (-21)/p - (-78)/4. Find the second derivative of 82*w - 158*w + 102*w + o*w**3 wrt w. | 126*w |
{"question": "Let z be ((-35)/(-21))/(-5) + (-10)/(-3). Is 41/18 < z?", "answer": "True"} | Let z be ((-35)/(-21))/(-5) + (-10)/(-3). Is 41/18 < z? | True |
{"question": "Which is the second smallest value? (a) -5 (b) 0.40488 (c) -0.5", "answer": "c"} | Which is the second smallest value? (a) -5 (b) 0.40488 (c) -0.5 | c |
{"question": "Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, y: 17}.", "answer": "1/9"} | Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, y: 17}. | 1/9 |
{"question": "Calculate 4028 divided by 53.", "answer": "76"} | Calculate 4028 divided by 53. | 76 |
{"question": "Sort 1282, -3, -253, -2 in decreasing order.", "answer": "1282, -2, -3, -253"} | Sort 1282, -3, -253, -2 in decreasing order. | 1282, -2, -3, -253 |
{"question": "What is the square root of 7083 to the nearest integer?", "answer": "84"} | What is the square root of 7083 to the nearest integer? | 84 |
{"question": "What is the hundred thousands digit of 3237417?", "answer": "2"} | What is the hundred thousands digit of 3237417? | 2 |
{"question": "What is -25 divided by 16?", "answer": "-25/16"} | What is -25 divided by 16? | -25/16 |
{"question": "Calculate prob of sequence vvw when three letters picked without replacement from vwvvvww.", "answer": "6/35"} | Calculate prob of sequence vvw when three letters picked without replacement from vwvvvww. | 6/35 |
{"question": "Let a = -9 + 7. Let d = -10 + 13. Suppose -d = 2*b + 1. Are b and a nonequal?", "answer": "False"} | Let a = -9 + 7. Let d = -10 + 13. Suppose -d = 2*b + 1. Are b and a nonequal? | False |
{"question": "Simplify v**(-1/3)/v*v*v/v**(-4)*v**(-1/9)/(v**(-2/3)*v*v) assuming v is positive.", "answer": "v**(29/9)"} | Simplify v**(-1/3)/v*v*v/v**(-4)*v**(-1/9)/(v**(-2/3)*v*v) assuming v is positive. | v**(29/9) |
{"question": "Let t = -59209/9 - -6587. Find the common denominator of -4/3 and t.", "answer": "9"} | Let t = -59209/9 - -6587. Find the common denominator of -4/3 and t. | 9 |
{"question": "Simplify (r**(-26/9)/r*r)/r**(-10/7)*r/((r/(r/r**(-4/7)))/r)*r/((r*r/(r/r**(-17)*r))/r)*r assuming r is positive.", "answer": "r**(190/9)"} | Simplify (r**(-26/9)/r*r)/r**(-10/7)*r/((r/(r/r**(-4/7)))/r)*r/((r*r/(r/r**(-17)*r))/r)*r assuming r is positive. | r**(190/9) |
{"question": "Let c = -345 - -410. Suppose -c = -4*j - 13. Let k be (8/2)/((-2)/(-2)). Solve -k*p + 1 = j for p.", "answer": "-3"} | Let c = -345 - -410. Suppose -c = -4*j - 13. Let k be (8/2)/((-2)/(-2)). Solve -k*p + 1 = j for p. | -3 |
{"question": "Let c(u) = -19*u + 11*u + u**2 + 2*u + 6. What is c(6)?", "answer": "6"} | Let c(u) = -19*u + 11*u + u**2 + 2*u + 6. What is c(6)? | 6 |
{"question": "Let q(u) = -57144*u - 8. Let g be q(-7). Round g to the nearest 100000.", "answer": "400000"} | Let q(u) = -57144*u - 8. Let g be q(-7). Round g to the nearest 100000. | 400000 |
{"question": "List the prime factors of 31968847.", "answer": "131, 277, 881"} | List the prime factors of 31968847. | 131, 277, 881 |
{"question": "Suppose 33 = 23*j - 20*j. Suppose -j*z = -15*z + 45200. What is z rounded to the nearest 1000?", "answer": "11000"} | Suppose 33 = 23*j - 20*j. Suppose -j*z = -15*z + 45200. What is z rounded to the nearest 1000? | 11000 |
{"question": "What is prob of picking 2 q when two letters picked without replacement from jdjqnddqd?", "answer": "1/36"} | What is prob of picking 2 q when two letters picked without replacement from jdjqnddqd? | 1/36 |
{"question": "What is the third root of 92787263 to the nearest integer?", "answer": "453"} | What is the third root of 92787263 to the nearest integer? | 453 |
{"question": "Expand (-u**4 + 2*u**4 + u**4)*(-4 + 12 - 9).", "answer": "-2*u**4"} | Expand (-u**4 + 2*u**4 + u**4)*(-4 + 12 - 9). | -2*u**4 |
{"question": "Divide 12857496 by -4285832.", "answer": "-3"} | Divide 12857496 by -4285832. | -3 |
{"question": "Divide 52767 by 143.", "answer": "369"} | Divide 52767 by 143. | 369 |
{"question": "Let n = 106 + -52. What are the prime factors of n?", "answer": "2, 3"} | Let n = 106 + -52. What are the prime factors of n? | 2, 3 |
{"question": "Is 5449 prime?", "answer": "True"} | Is 5449 prime? | True |
{"question": "Is 132 a factor of 36300?", "answer": "True"} | Is 132 a factor of 36300? | True |
{"question": "Is 81280 a multiple of 185?", "answer": "False"} | Is 81280 a multiple of 185? | False |
{"question": "Suppose -3*y = -0*y - 27. Let x(r) = 5*r + 6. Is x(y) a composite number?", "answer": "True"} | Suppose -3*y = -0*y - 27. Let x(r) = 5*r + 6. Is x(y) a composite number? | True |
{"question": "List the prime factors of 317946.", "answer": "2, 3, 19, 2789"} | List the prime factors of 317946. | 2, 3, 19, 2789 |
{"question": "Let h = 4.1 + -4.1061. Let d = -10.4739 + h. What is d rounded to 0 dps?", "answer": "-10"} | Let h = 4.1 + -4.1061. Let d = -10.4739 + h. What is d rounded to 0 dps? | -10 |
{"question": "Is 54685 a composite number?", "answer": "True"} | Is 54685 a composite number? | True |
{"question": "Suppose 5*x - 20 = 0, b - x = 2*x + 28. What is the lowest common multiple of b and 2?", "answer": "40"} | Suppose 5*x - 20 = 0, b - x = 2*x + 28. What is the lowest common multiple of b and 2? | 40 |
{"question": "What comes next: -47821, -191306, -430447, -765244?", "answer": "-1195697"} | What comes next: -47821, -191306, -430447, -765244? | -1195697 |
{"question": "Suppose -2*d + r = 6*r - 36, -3*d + 49 = 5*r. Suppose 0 = u + 1 - d. Calculate the highest common factor of 18 and u.", "answer": "6"} | Suppose -2*d + r = 6*r - 36, -3*d + 49 = 5*r. Suppose 0 = u + 1 - d. Calculate the highest common factor of 18 and u. | 6 |
{"question": "Is 36995254883 composite?", "answer": "False"} | Is 36995254883 composite? | False |
{"question": "Let f = 248 - 4463/18. Which is smaller: 1 or f?", "answer": "f"} | Let f = 248 - 4463/18. Which is smaller: 1 or f? | f |
{"question": "Let i = 219 - 177. Calculate the greatest common factor of i and 70.", "answer": "14"} | Let i = 219 - 177. Calculate the greatest common factor of i and 70. | 14 |
{"question": "Convert 8410.906ml to litres.", "answer": "8.410906"} | Convert 8410.906ml to litres. | 8.410906 |
{"question": "In base 7, what is 121552030 + -21?", "answer": "121552006"} | In base 7, what is 121552030 + -21? | 121552006 |
{"question": "What are the prime factors of 6514?", "answer": "2, 3257"} | What are the prime factors of 6514? | 2, 3257 |
{"question": "Express (37*k - 55*k - 77*k)*(2*k - 2*k + k**2) in the form f + u*k + l*k**2 + h*k**3 and give h.", "answer": "-95"} | Express (37*k - 55*k - 77*k)*(2*k - 2*k + k**2) in the form f + u*k + l*k**2 + h*k**3 and give h. | -95 |
{"question": "What is the greatest common factor of 990 and 431343?", "answer": "99"} | What is the greatest common factor of 990 and 431343? | 99 |
{"question": "Which is the closest to 0? (a) 0.5 (b) -2/13 (c) 5/64 (d) 1/5", "answer": "c"} | Which is the closest to 0? (a) 0.5 (b) -2/13 (c) 5/64 (d) 1/5 | c |
{"question": "What is prob of picking 1 h and 1 i when two letters picked without replacement from {z: 1, i: 1, w: 2, h: 3, k: 4}?", "answer": "3/55"} | What is prob of picking 1 h and 1 i when two letters picked without replacement from {z: 1, i: 1, w: 2, h: 3, k: 4}? | 3/55 |
{"question": "Let x(n) = n**2 - 25*n - 180. Let c be x(-6). What is the units digit of 43 - 0/(-6) - c?", "answer": "7"} | Let x(n) = n**2 - 25*n - 180. Let c be x(-6). What is the units digit of 43 - 0/(-6) - c? | 7 |
{"question": "Simplify (sqrt(8)/sqrt(4) + 1 + (-3 + sqrt(6)/sqrt(3))**2)*5.", "answer": "-25*sqrt(2) + 60"} | Simplify (sqrt(8)/sqrt(4) + 1 + (-3 + sqrt(6)/sqrt(3))**2)*5. | -25*sqrt(2) + 60 |
{"question": "Calculate 296 + -345 - 740/(-16).", "answer": "-11/4"} | Calculate 296 + -345 - 740/(-16). | -11/4 |
{"question": "Simplify (sqrt(49) - sqrt(1764)*1)/(sqrt(70)/(sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(10)*2)))) - ((-3 + sqrt(7))*-6 - (sqrt(112)*5)**2).", "answer": "sqrt(7) + 2782"} | Simplify (sqrt(49) - sqrt(1764)*1)/(sqrt(70)/(sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(10)*2)))) - ((-3 + sqrt(7))*-6 - (sqrt(112)*5)**2). | sqrt(7) + 2782 |
{"question": "Let j = 163.7 + -162.7. Suppose -5*d = n - 4*n + 159, 4*d = 2*n - 126. Let o = -4 - -4.4. What is the closest to -2 in j, d, o?", "answer": "o"} | Let j = 163.7 + -162.7. Suppose -5*d = n - 4*n + 159, 4*d = 2*n - 126. Let o = -4 - -4.4. What is the closest to -2 in j, d, o? | o |
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