text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "Suppose -w - 3*y = -480, -5*w + 3*y + 2413 = 5*y. Calculate the remainder when w is divided by 61.", "answer": "56"} | Suppose -w - 3*y = -480, -5*w + 3*y + 2413 = 5*y. Calculate the remainder when w is divided by 61. | 56 |
{"question": "What is 2186 to the power of 1/3, to the nearest integer?", "answer": "13"} | What is 2186 to the power of 1/3, to the nearest integer? | 13 |
{"question": "Simplify -1*sqrt(1088)*5*-4*-4.", "answer": "-640*sqrt(17)"} | Simplify -1*sqrt(1088)*5*-4*-4. | -640*sqrt(17) |
{"question": "Let c(f) = 16*f. Let y(k) = -152*k + k**2 + 78*k + 74*k. What is c(y(j))?", "answer": "16*j**2"} | Let c(f) = 16*f. Let y(k) = -152*k + k**2 + 78*k + 74*k. What is c(y(j))? | 16*j**2 |
{"question": "Suppose -4*a - 2*p - 5 = -a, -2*a - 5 = 3*p. Calculate the remainder when a + 1 - (-3 + -26) is divided by 8.", "answer": "5"} | Suppose -4*a - 2*p - 5 = -a, -2*a - 5 = 3*p. Calculate the remainder when a + 1 - (-3 + -26) is divided by 8. | 5 |
{"question": "What is 264 minutes before 5:30 AM?", "answer": "1:06 AM"} | What is 264 minutes before 5:30 AM? | 1:06 AM |
{"question": "What are the prime factors of 4191597354?", "answer": "2, 3, 7, 99799937"} | What are the prime factors of 4191597354? | 2, 3, 7, 99799937 |
{"question": "Three letters picked without replacement from {w: 3, n: 5, r: 1, o: 3, u: 3, l: 3}. What is prob of sequence wlu?", "answer": "3/544"} | Three letters picked without replacement from {w: 3, n: 5, r: 1, o: 3, u: 3, l: 3}. What is prob of sequence wlu? | 3/544 |
{"question": "Divide -87320544 by -4.", "answer": "21830136"} | Divide -87320544 by -4. | 21830136 |
{"question": "Solve -16*u + 19*u - 4*n + 11 = 0, 9*n + 4 = u for u.", "answer": "-5"} | Solve -16*u + 19*u - 4*n + 11 = 0, 9*n + 4 = u for u. | -5 |
{"question": "What is the o'th term of 8408, 8403, 8398, 8393?", "answer": "-5*o + 8413"} | What is the o'th term of 8408, 8403, 8398, 8393? | -5*o + 8413 |
{"question": "Suppose 4*i + 9 = 33. Let o(k) = -k**3 + 7*k**2 - 8*k + 6. Let d be o(i). What is the remainder when 8 is divided by (d/4)/((-1)/2)?", "answer": "2"} | Suppose 4*i + 9 = 33. Let o(k) = -k**3 + 7*k**2 - 8*k + 6. Let d be o(i). What is the remainder when 8 is divided by (d/4)/((-1)/2)? | 2 |
{"question": "Calculate (-5 + (-25 + 12 - 10) - 7) + -15.", "answer": "-50"} | Calculate (-5 + (-25 + 12 - 10) - 7) + -15. | -50 |
{"question": "Let y = 1843963/795046 - 1193/521. Let l = y - -140069/114450. What is the common denominator of 9/7 and l?", "answer": "525"} | Let y = 1843963/795046 - 1193/521. Let l = y - -140069/114450. What is the common denominator of 9/7 and l? | 525 |
{"question": "Let f(i) = 75*i**2 - 184*i - 371. Let j be f(-2). Is 591/2 at most as big as j?", "answer": "True"} | Let f(i) = 75*i**2 - 184*i - 371. Let j be f(-2). Is 591/2 at most as big as j? | True |
{"question": "Solve 0 = 2*g + 2*g + 5*t - 64, 6*g - 13*g - 18*t - 41 = -22*t for g.", "answer": "1"} | Solve 0 = 2*g + 2*g + 5*t - 64, 6*g - 13*g - 18*t - 41 = -22*t for g. | 1 |
{"question": "Let h(r) = -r**2 + 7*r + 5. Suppose -1304 = -63*s + 775. Calculate the remainder when s is divided by h(4).", "answer": "16"} | Let h(r) = -r**2 + 7*r + 5. Suppose -1304 = -63*s + 775. Calculate the remainder when s is divided by h(4). | 16 |
{"question": "Three letters picked without replacement from {c: 2, g: 7, w: 2}. What is prob of picking 2 c and 1 w?", "answer": "2/165"} | Three letters picked without replacement from {c: 2, g: 7, w: 2}. What is prob of picking 2 c and 1 w? | 2/165 |
{"question": "Put -3, 0, 2, 32, 17 in descending order.", "answer": "32, 17, 2, 0, -3"} | Put -3, 0, 2, 32, 17 in descending order. | 32, 17, 2, 0, -3 |
{"question": "What is the f'th term of -149594, -149592, -149588, -149582, -149574?", "answer": "f**2 - f - 149594"} | What is the f'th term of -149594, -149592, -149588, -149582, -149574? | f**2 - f - 149594 |
{"question": "Suppose 188 = 32*v - 31*v. Let q = v - 131. Suppose 7*m - 230 - q = 0. List the prime factors of m.", "answer": "41"} | Suppose 188 = 32*v - 31*v. Let q = v - 131. Suppose 7*m - 230 - q = 0. List the prime factors of m. | 41 |
{"question": "What is 3 divided by 228383912?", "answer": "3/228383912"} | What is 3 divided by 228383912? | 3/228383912 |
{"question": "Is 24347513 a prime number?", "answer": "True"} | Is 24347513 a prime number? | True |
{"question": "Let p = 87 - -36. Let d be p/12 + (-2)/(-16)*-2. Let l be d/45*21 - 2/3. Solve -l = -2*q + 2 for q.", "answer": "3"} | Let p = 87 - -36. Let d be p/12 + (-2)/(-16)*-2. Let l be d/45*21 - 2/3. Solve -l = -2*q + 2 for q. | 3 |
{"question": "-1 divided by -65", "answer": "1/65"} | -1 divided by -65 | 1/65 |
{"question": "Put together -332186035 and -0.12.", "answer": "-332186035.12"} | Put together -332186035 and -0.12. | -332186035.12 |
{"question": "What is the a'th term of 19719073, 19719078, 19719083?", "answer": "5*a + 19719068"} | What is the a'th term of 19719073, 19719078, 19719083? | 5*a + 19719068 |
{"question": "In base 12, what is 2b + -b?", "answer": "20"} | In base 12, what is 2b + -b? | 20 |
{"question": "What is m in 6*m**5 + 58*m**4 - 332*m**3 + 440*m**2 - 112*m = 0?", "answer": "-14, 0, 1/3, 2"} | What is m in 6*m**5 + 58*m**4 - 332*m**3 + 440*m**2 - 112*m = 0? | -14, 0, 1/3, 2 |
{"question": "(-15)/(-90) + (-17)/(-6)", "answer": "3"} | (-15)/(-90) + (-17)/(-6) | 3 |
{"question": "Let t be (-500)/14 - 24/84. Let u be (-3)/t*9*1/3. Let y = 32 - 32.9. What is the nearest to u in -1, y, 2?", "answer": "y"} | Let t be (-500)/14 - 24/84. Let u be (-3)/t*9*1/3. Let y = 32 - 32.9. What is the nearest to u in -1, y, 2? | y |
{"question": "Let w = 36490 - 36488. Let b(l) be the second derivative of 0*l**4 + 1/6*l**3 + l**6 + 0*l**5 - 2*l + 0*l**w - 10. Find the second derivative of b(z) wrt z.", "answer": "360*z**2"} | Let w = 36490 - 36488. Let b(l) be the second derivative of 0*l**4 + 1/6*l**3 + l**6 + 0*l**5 - 2*l + 0*l**w - 10. Find the second derivative of b(z) wrt z. | 360*z**2 |
{"question": "How many minutes are there between 3:27 PM and 5:39 PM?", "answer": "132"} | How many minutes are there between 3:27 PM and 5:39 PM? | 132 |
{"question": "Calculate (0/(-2))/((-9)/(72/(-8))).", "answer": "0"} | Calculate (0/(-2))/((-9)/(72/(-8))). | 0 |
{"question": "Let n = -2300 - -3256. Let u = n + -6738/7. What is the common denominator of u and -139/6?", "answer": "42"} | Let n = -2300 - -3256. Let u = n + -6738/7. What is the common denominator of u and -139/6? | 42 |
{"question": "Is 1719 a factor of 578362707?", "answer": "True"} | Is 1719 a factor of 578362707? | True |
{"question": "What is 121/99 + -3*4/54?", "answer": "1"} | What is 121/99 + -3*4/54? | 1 |
{"question": "Calculate prob of sequence dcca when four letters picked without replacement from {h: 2, l: 4, a: 2, d: 4, c: 5}.", "answer": "1/357"} | Calculate prob of sequence dcca when four letters picked without replacement from {h: 2, l: 4, a: 2, d: 4, c: 5}. | 1/357 |
{"question": "Suppose -y**4/5 - 6*y**3/5 - 4*y**2/5 + 24*y/5 + 32/5 = 0. What is y?", "answer": "-4, -2, 2"} | Suppose -y**4/5 - 6*y**3/5 - 4*y**2/5 + 24*y/5 + 32/5 = 0. What is y? | -4, -2, 2 |
{"question": "Let r = 38 - 23. Are 15 and r non-equal?", "answer": "False"} | Let r = 38 - 23. Are 15 and r non-equal? | False |
{"question": "Let d(j) be the second derivative of 6*j**2 + 0 + 25*j + 1/6*j**3. What is the derivative of d(h) wrt h?", "answer": "1"} | Let d(j) be the second derivative of 6*j**2 + 0 + 25*j + 1/6*j**3. What is the derivative of d(h) wrt h? | 1 |
{"question": "Let j = 95 - 43. Let z = j - 31. Let y = z - 21.029. Round y to 2 decimal places.", "answer": "-0.03"} | Let j = 95 - 43. Let z = j - 31. Let y = z - 21.029. Round y to 2 decimal places. | -0.03 |
{"question": "Let k = 7876 - 7876.00064752. What is k rounded to 4 decimal places?", "answer": "-0.0006"} | Let k = 7876 - 7876.00064752. What is k rounded to 4 decimal places? | -0.0006 |
{"question": "Let z = -55 - -39. Let n = 16.7 + z. Which is the nearest to 0? (a) 1 (b) 3 (c) n", "answer": "c"} | Let z = -55 - -39. Let n = 16.7 + z. Which is the nearest to 0? (a) 1 (b) 3 (c) n | c |
{"question": "Calculate the common denominator of 73/22 and (-4)/(-64)*-2*(-172)/10.", "answer": "220"} | Calculate the common denominator of 73/22 and (-4)/(-64)*-2*(-172)/10. | 220 |
{"question": "Let g = 0.77 + -0.7737. Round g to three decimal places.", "answer": "-0.004"} | Let g = 0.77 + -0.7737. Round g to three decimal places. | -0.004 |
{"question": "Simplify ((((x/(x/(x*x/(x*x**0/x))))/x)/x*x)/x**14)/(x**(-4/7)*x*x**(-22)/x*x) assuming x is positive.", "answer": "x**(60/7)"} | Simplify ((((x/(x/(x*x/(x*x**0/x))))/x)/x*x)/x**14)/(x**(-4/7)*x*x**(-22)/x*x) assuming x is positive. | x**(60/7) |
{"question": "Let a(h) = 2*h**2 - 34*h - 19. Let k be a(18). Solve -3*u = 5*v + k, -3*v + 7 = -2*u - 2*v for u.", "answer": "-4"} | Let a(h) = 2*h**2 - 34*h - 19. Let k be a(18). Solve -3*u = 5*v + k, -3*v + 7 = -2*u - 2*v for u. | -4 |
{"question": "Solve 178*y = 179*y - 3*t - 3, 0 = 4*t for y.", "answer": "3"} | Solve 178*y = 179*y - 3*t - 3, 0 = 4*t for y. | 3 |
{"question": "What is the highest common divisor of 1104 and 129306?", "answer": "138"} | What is the highest common divisor of 1104 and 129306? | 138 |
{"question": "Suppose -85 = 2*v - 3*d, -v - 3*d = v + 79. Let c = 43 + v. Factor -12*r + c*r**3 - 2*r**3 + 16*r**2 + 4*r**3 - 8*r**2.", "answer": "4*r*(r - 1)*(r + 3)"} | Suppose -85 = 2*v - 3*d, -v - 3*d = v + 79. Let c = 43 + v. Factor -12*r + c*r**3 - 2*r**3 + 16*r**2 + 4*r**3 - 8*r**2. | 4*r*(r - 1)*(r + 3) |
{"question": "Solve 154*n + 4312 - 9634 - 6228 = 0 for n.", "answer": "75"} | Solve 154*n + 4312 - 9634 - 6228 = 0 for n. | 75 |
{"question": "-16 + 9 + (5 - (11 - 2))", "answer": "-11"} | -16 + 9 + (5 - (11 - 2)) | -11 |
{"question": "Is 51 a factor of 1939530?", "answer": "True"} | Is 51 a factor of 1939530? | True |
{"question": "Is 104 a factor of 139704?", "answer": "False"} | Is 104 a factor of 139704? | False |
{"question": "Are 129 and -72 equal?", "answer": "False"} | Are 129 and -72 equal? | False |
{"question": "Is 2743691 a composite number?", "answer": "False"} | Is 2743691 a composite number? | False |
{"question": "-933612848 divided by 66686632", "answer": "-14"} | -933612848 divided by 66686632 | -14 |
{"question": "Let y be ((-60)/(-9))/(-1 - 15/(-9)). Suppose 2*g + 4 = -b, 5*b + 3*g - y - 5 = 0. What is the smallest common multiple of b and 22?", "answer": "66"} | Let y be ((-60)/(-9))/(-1 - 15/(-9)). Suppose 2*g + 4 = -b, 5*b + 3*g - y - 5 = 0. What is the smallest common multiple of b and 22? | 66 |
{"question": "Round -106000 to the nearest one hundred thousand.", "answer": "-100000"} | Round -106000 to the nearest one hundred thousand. | -100000 |
{"question": "Let k = -348 - -498. Suppose -o + 2*o = k. What is the units digit of o?", "answer": "0"} | Let k = -348 - -498. Suppose -o + 2*o = k. What is the units digit of o? | 0 |
{"question": "Convert 123 (base 5) to base 14.", "answer": "2a"} | Convert 123 (base 5) to base 14. | 2a |
{"question": "Simplify ((sqrt(130)*-2*-5 + sqrt(130) - sqrt(130))/(sqrt(90)/(sqrt(81) - sqrt(9))))**2.", "answer": "5200"} | Simplify ((sqrt(130)*-2*-5 + sqrt(130) - sqrt(130))/(sqrt(90)/(sqrt(81) - sqrt(9))))**2. | 5200 |
{"question": "Solve 55*i**4/3 - 21625*i**3/3 - 13155*i**2 - 13835*i/3 + 3950/3 = 0 for i.", "answer": "-1, 2/11, 395"} | Solve 55*i**4/3 - 21625*i**3/3 - 13155*i**2 - 13835*i/3 + 3950/3 = 0 for i. | -1, 2/11, 395 |
{"question": "How many months are there in six fifths of a millennium?", "answer": "14400"} | How many months are there in six fifths of a millennium? | 14400 |
{"question": "Let u(w) be the third derivative of 7*w**5/120 - 5*w**4/24 - w**3/2 + 5*w**2. Let x(q) be the first derivative of u(q). What is the units digit of x(2)?", "answer": "9"} | Let u(w) be the third derivative of 7*w**5/120 - 5*w**4/24 - w**3/2 + 5*w**2. Let x(q) be the first derivative of u(q). What is the units digit of x(2)? | 9 |
{"question": "Let h(u) = 4*u**3 + 57*u**2 - 4*u + 75. Determine h(-6).", "answer": "1287"} | Let h(u) = 4*u**3 + 57*u**2 - 4*u + 75. Determine h(-6). | 1287 |
{"question": "Solve 5*a - 70756 = -2*m - 70749, -m = -3*a - 31 for a.", "answer": "-5"} | Solve 5*a - 70756 = -2*m - 70749, -m = -3*a - 31 for a. | -5 |
{"question": "-0.9234+-7263.77288", "answer": "-7264.69628"} | -0.9234+-7263.77288 | -7264.69628 |
{"question": "Express 1 + 1657*j - 1 - 1736*j in the form v + s*j and give s.", "answer": "-79"} | Express 1 + 1657*j - 1 - 1736*j in the form v + s*j and give s. | -79 |
{"question": "What is 0 (base 2) in base 3?", "answer": "0"} | What is 0 (base 2) in base 3? | 0 |
{"question": "What is prob of sequence gh when two letters picked without replacement from {g: 1, x: 2, f: 1, h: 1}?", "answer": "1/20"} | What is prob of sequence gh when two letters picked without replacement from {g: 1, x: 2, f: 1, h: 1}? | 1/20 |
{"question": "Let r(y) be the second derivative of -y**6 + 3*y**2 - 9*y. Find the first derivative of r(l) wrt l.", "answer": "-120*l**3"} | Let r(y) be the second derivative of -y**6 + 3*y**2 - 9*y. Find the first derivative of r(l) wrt l. | -120*l**3 |
{"question": "Suppose 2*v + 96 + 122 = 0. Let l = v + 35. Let p = l - -149. Is 15 a factor of p?", "answer": "True"} | Suppose 2*v + 96 + 122 = 0. Let l = v + 35. Let p = l - -149. Is 15 a factor of p? | True |
{"question": "What is 23158 divided by 475?", "answer": "23158/475"} | What is 23158 divided by 475? | 23158/475 |
{"question": "Let f(t) = 2*t**2 + 38*t + 143. Let g be 26/(4/(-5 - -1)). What is the hundreds digit of f(g)?", "answer": "5"} | Let f(t) = 2*t**2 + 38*t + 143. Let g be 26/(4/(-5 - -1)). What is the hundreds digit of f(g)? | 5 |
{"question": "Which is bigger: -1 or 1/48859?", "answer": "1/48859"} | Which is bigger: -1 or 1/48859? | 1/48859 |
{"question": "-0.207283 times 0.2", "answer": "-0.0414566"} | -0.207283 times 0.2 | -0.0414566 |
{"question": "Which is the fifth biggest value? (a) 190 (b) -5/6 (c) -0.5 (d) -4 (e) -708", "answer": "e"} | Which is the fifth biggest value? (a) 190 (b) -5/6 (c) -0.5 (d) -4 (e) -708 | e |
{"question": "What is the common denominator of 26/110505 and -40/231566911?", "answer": "3473503665"} | What is the common denominator of 26/110505 and -40/231566911? | 3473503665 |
{"question": "Find u, given that -3*u**4/4 - 81*u**3/4 - 75*u**2 + 864*u - 768 = 0.", "answer": "-16, 1, 4"} | Find u, given that -3*u**4/4 - 81*u**3/4 - 75*u**2 + 864*u - 768 = 0. | -16, 1, 4 |
{"question": "Let t be 70/245 + 66/14. Suppose 5*a = -4*y + 50147, 5*y + t = 20. Is a a composite number?", "answer": "True"} | Let t be 70/245 + 66/14. Suppose 5*a = -4*y + 50147, 5*y + t = 20. Is a a composite number? | True |
{"question": "Three letters picked without replacement from ixiixixiixiix. Give prob of sequence ixx.", "answer": "40/429"} | Three letters picked without replacement from ixiixixiixiix. Give prob of sequence ixx. | 40/429 |
{"question": "What is the value of -7 + (-5)/((-20)/16)?", "answer": "-3"} | What is the value of -7 + (-5)/((-20)/16)? | -3 |
{"question": "Let t(a) = -a + 19. Let l be t(3). Suppose -l*o + 24*o = 14*o. Solve 4*j + o*j = 12 for j.", "answer": "3"} | Let t(a) = -a + 19. Let l be t(3). Suppose -l*o + 24*o = 14*o. Solve 4*j + o*j = 12 for j. | 3 |
{"question": "Multiply -36 and -166.", "answer": "5976"} | Multiply -36 and -166. | 5976 |
{"question": "Calculate ((-6)/(-20))/(1 + 4/8).", "answer": "1/5"} | Calculate ((-6)/(-20))/(1 + 4/8). | 1/5 |
{"question": "Let u be (-4)/((-12)/(-16) + -1). Suppose -u - 20 = -4*m. Suppose -6*w + m*w - 39 = 0. Calculate the remainder when 22 is divided by w.", "answer": "9"} | Let u be (-4)/((-12)/(-16) + -1). Suppose -u - 20 = -4*m. Suppose -6*w + m*w - 39 = 0. Calculate the remainder when 22 is divided by w. | 9 |
{"question": "Collect the terms in 2 + 4895*p**2 - 6 + 4 - 4892*p**2.", "answer": "3*p**2"} | Collect the terms in 2 + 4895*p**2 - 6 + 4 - 4892*p**2. | 3*p**2 |
{"question": "What is the tens digit of 14946499?", "answer": "9"} | What is the tens digit of 14946499? | 9 |
{"question": "Two letters picked without replacement from idtysvits. What is prob of sequence yv?", "answer": "1/72"} | Two letters picked without replacement from idtysvits. What is prob of sequence yv? | 1/72 |
{"question": "Find the first derivative of 2*a*p*t - 140*a*p*y + 77*a*p + 8*a*t - a*y + 2*p*t*y + 2*p*t - 51*t*y - t wrt y.", "answer": "-140*a*p - a + 2*p*t - 51*t"} | Find the first derivative of 2*a*p*t - 140*a*p*y + 77*a*p + 8*a*t - a*y + 2*p*t*y + 2*p*t - 51*t*y - t wrt y. | -140*a*p - a + 2*p*t - 51*t |
{"question": "Suppose 5*n - 3*f + 103 = -f, -3*n + 2*f - 61 = 0. Put n, 5, 2 in ascending order.", "answer": "n, 2, 5"} | Suppose 5*n - 3*f + 103 = -f, -3*n + 2*f - 61 = 0. Put n, 5, 2 in ascending order. | n, 2, 5 |
{"question": "Let l(b) = -2 + 8 + 1 + 4*b**3 + 10*b - 4*b**2 + b. Let r(p) = -p**3 - p. Suppose 45*n + 105 = 66*n. Let w(z) = n*r(z) + l(z). Calculate w(-5).", "answer": "2"} | Let l(b) = -2 + 8 + 1 + 4*b**3 + 10*b - 4*b**2 + b. Let r(p) = -p**3 - p. Suppose 45*n + 105 = 66*n. Let w(z) = n*r(z) + l(z). Calculate w(-5). | 2 |
{"question": "Collect the terms in 1096*l**3 - 14 - 26 - 160*l**3 + 40.", "answer": "936*l**3"} | Collect the terms in 1096*l**3 - 14 - 26 - 160*l**3 + 40. | 936*l**3 |
{"question": "Collect the terms in 155*r + 136*r - 353*r + 76*r.", "answer": "14*r"} | Collect the terms in 155*r + 136*r - 353*r + 76*r. | 14*r |
{"question": "What is the s'th term of 69357, 138486, 207609, 276726, 345837, 414942, 484041?", "answer": "-3*s**2 + 69138*s + 222"} | What is the s'th term of 69357, 138486, 207609, 276726, 345837, 414942, 484041? | -3*s**2 + 69138*s + 222 |
{"question": "Simplify sqrt(21)/(sqrt(875)/sqrt(5)) + -3.", "answer": "-3 + sqrt(3)/5"} | Simplify sqrt(21)/(sqrt(875)/sqrt(5)) + -3. | -3 + sqrt(3)/5 |
{"question": "In base 15, what is -5 + ce38e?", "answer": "ce389"} | In base 15, what is -5 + ce38e? | ce389 |
{"question": "Let n = 45 - 28. Suppose -207*o - 212*o + 433*o = -14. Sort o, 4, n in ascending order.", "answer": "o, 4, n"} | Let n = 45 - 28. Suppose -207*o - 212*o + 433*o = -14. Sort o, 4, n in ascending order. | o, 4, n |
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