text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Convert -79658 (base 11) to base 7.", "answer": "-660010"} | Convert -79658 (base 11) to base 7. | -660010 |
{"question": "What is -5 divided by -125?", "answer": "1/25"} | What is -5 divided by -125? | 1/25 |
{"question": "Solve -3*j + 106 = 61 + 57 for j.", "answer": "-4"} | Solve -3*j + 106 = 61 + 57 for j. | -4 |
{"question": "Solve 5*j**5 + 5*j**4 - 35*j**3 - 65*j**2 - 30*j = 0.", "answer": "-2, -1, 0, 3"} | Solve 5*j**5 + 5*j**4 - 35*j**3 - 65*j**2 - 30*j = 0. | -2, -1, 0, 3 |
{"question": "Is 77829443 a multiple of 960?", "answer": "False"} | Is 77829443 a multiple of 960? | False |
{"question": "Subtract 213549 from -2321.35.", "answer": "-215870.35"} | Subtract 213549 from -2321.35. | -215870.35 |
{"question": "Calculate the highest common factor of 536 and 51456.", "answer": "536"} | Calculate the highest common factor of 536 and 51456. | 536 |
{"question": "Let o(n) = 1946*n**2 - 4*n - 3. Is o(-2) composite?", "answer": "False"} | Let o(n) = 1946*n**2 - 4*n - 3. Is o(-2) composite? | False |
{"question": "Let z be 6/12 + 1346/4. Suppose 122 - z = -5*y. Calculate the remainder when y is divided by 15.", "answer": "13"} | Let z be 6/12 + 1346/4. Suppose 122 - z = -5*y. Calculate the remainder when y is divided by 15. | 13 |
{"question": "Let z(a) = a - 5. Let v be z(10). Let i = v - 4. Let u be i/(-3 - 19/(-6)). Solve 0 = -3*f + 9 + u for f.", "answer": "5"} | Let z(a) = a - 5. Let v be z(10). Let i = v - 4. Let u be i/(-3 - 19/(-6)). Solve 0 = -3*f + 9 + u for f. | 5 |
{"question": "What is prob of sequence pwtw when four letters picked without replacement from wpctttcwww?", "answer": "1/140"} | What is prob of sequence pwtw when four letters picked without replacement from wpctttcwww? | 1/140 |
{"question": "Let p = -2 - -6. Suppose -5*y + 2*l = -56, -4*l + 58 = p*y + l. What is the units digit of (58/(-3))/(y/(-18))?", "answer": "9"} | Let p = -2 - -6. Suppose -5*y + 2*l = -56, -4*l + 58 = p*y + l. What is the units digit of (58/(-3))/(y/(-18))? | 9 |
{"question": "Which is the nearest to 1/4? (a) -1/11 (b) 0 (c) 205", "answer": "b"} | Which is the nearest to 1/4? (a) -1/11 (b) 0 (c) 205 | b |
{"question": "Suppose -p + 3 = p + 3*x, 3*p + 4*x - 5 = 0. Let j be p + -3 + (0 - -2). Suppose -3*i + 3*k = j*i - 888, 3*k = -i + 174. Is i prime?", "answer": "False"} | Suppose -p + 3 = p + 3*x, 3*p + 4*x - 5 = 0. Let j be p + -3 + (0 - -2). Suppose -3*i + 3*k = j*i - 888, 3*k = -i + 174. Is i prime? | False |
{"question": "Four letters picked without replacement from ttegiiteeen. Give prob of sequence tien.", "answer": "1/330"} | Four letters picked without replacement from ttegiiteeen. Give prob of sequence tien. | 1/330 |
{"question": "Let r be ((-6)/(-8) + -1)*4. Let y(b) = b**2 - 3*b. Let j be -4 - 1 - 0/(-1). Let p be (-2)/j - (-13)/5. Let n(a) = -a. Calculate p*n(h) + r*y(h).", "answer": "-h**2"} | Let r be ((-6)/(-8) + -1)*4. Let y(b) = b**2 - 3*b. Let j be -4 - 1 - 0/(-1). Let p be (-2)/j - (-13)/5. Let n(a) = -a. Calculate p*n(h) + r*y(h). | -h**2 |
{"question": "What is the ten millions digit of 521048580?", "answer": "2"} | What is the ten millions digit of 521048580? | 2 |
{"question": "Solve 0 = 13*n - 39*n for n.", "answer": "0"} | Solve 0 = 13*n - 39*n for n. | 0 |
{"question": "What is the third root of 877994325 to the nearest integer?", "answer": "958"} | What is the third root of 877994325 to the nearest integer? | 958 |
{"question": "Calculate 8/(-36) + (-1 - (-814)/396).", "answer": "5/6"} | Calculate 8/(-36) + (-1 - (-814)/396). | 5/6 |
{"question": "Let x(z) be the first derivative of 13*z**2/2 + z - 3. Does 48 divide x(11)?", "answer": "True"} | Let x(z) be the first derivative of 13*z**2/2 + z - 3. Does 48 divide x(11)? | True |
{"question": "Work out 339 * -0.7.", "answer": "-237.3"} | Work out 339 * -0.7. | -237.3 |
{"question": "Suppose -3*k = 2*k. Let b = -13 - -16. Suppose k*c + 5*c - b*j = 99, 5*j = 3*c - 69. Does 9 divide c?", "answer": "True"} | Suppose -3*k = 2*k. Let b = -13 - -16. Suppose k*c + 5*c - b*j = 99, 5*j = 3*c - 69. Does 9 divide c? | True |
{"question": "Let u be -1 - -4 - 6/6. Solve u*g = 4 + 2 for g.", "answer": "3"} | Let u be -1 - -4 - 6/6. Solve u*g = 4 + 2 for g. | 3 |
{"question": "What is the thousands digit of 20004385?", "answer": "4"} | What is the thousands digit of 20004385? | 4 |
{"question": "Find the second derivative of -8*w**4 + 2*w**3 + 3748639*w**2 + 703619174*w.", "answer": "-96*w**2 + 12*w + 7497278"} | Find the second derivative of -8*w**4 + 2*w**3 + 3748639*w**2 + 703619174*w. | -96*w**2 + 12*w + 7497278 |
{"question": "Sort -2, 0.4, -90 in increasing order.", "answer": "-90, -2, 0.4"} | Sort -2, 0.4, -90 in increasing order. | -90, -2, 0.4 |
{"question": "Let o(m) = -2*m + 1. Suppose -4*c + 5*n = -5 - 10, -5*n + 30 = 5*c. Let q(u) = -c*u - 2*u + 5*u + 1. Calculate -3*o(p) + 4*q(p).", "answer": "-2*p + 1"} | Let o(m) = -2*m + 1. Suppose -4*c + 5*n = -5 - 10, -5*n + 30 = 5*c. Let q(u) = -c*u - 2*u + 5*u + 1. Calculate -3*o(p) + 4*q(p). | -2*p + 1 |
{"question": "Find the common denominator of 51/56 and -31/32837.", "answer": "262696"} | Find the common denominator of 51/56 and -31/32837. | 262696 |
{"question": "What is the cube root of 10205129 to the nearest integer?", "answer": "217"} | What is the cube root of 10205129 to the nearest integer? | 217 |
{"question": "Calculate prob of picking 3 t and 1 r when four letters picked without replacement from ttrtttrtt.", "answer": "5/9"} | Calculate prob of picking 3 t and 1 r when four letters picked without replacement from ttrtttrtt. | 5/9 |
{"question": "Let n(l) be the first derivative of 0*l + 7/3*l**3 + 0*l**5 + 1/4*l**4 - 41/6*l**6 - 53 + 5/2*l**2. Find the third derivative of n(s) wrt s.", "answer": "-2460*s**2 + 6"} | Let n(l) be the first derivative of 0*l + 7/3*l**3 + 0*l**5 + 1/4*l**4 - 41/6*l**6 - 53 + 5/2*l**2. Find the third derivative of n(s) wrt s. | -2460*s**2 + 6 |
{"question": "List the prime factors of 5624795.", "answer": "5, 11, 31, 3299"} | List the prime factors of 5624795. | 5, 11, 31, 3299 |
{"question": "Calculate the highest common factor of 89649 and 27.", "answer": "9"} | Calculate the highest common factor of 89649 and 27. | 9 |
{"question": "Calculate ((-12)/(-3))/((-20)/(-25)).", "answer": "5"} | Calculate ((-12)/(-3))/((-20)/(-25)). | 5 |
{"question": "What is the units digit of 7929?", "answer": "9"} | What is the units digit of 7929? | 9 |
{"question": "Calculate prob of sequence kb when two letters picked without replacement from kkkbkkbkkk.", "answer": "8/45"} | Calculate prob of sequence kb when two letters picked without replacement from kkkbkkbkkk. | 8/45 |
{"question": "What is 7722 (base 12) in base 2?", "answer": "11001101001010"} | What is 7722 (base 12) in base 2? | 11001101001010 |
{"question": "Let x be (-2)/(-4) + (-1974)/(-84). Let j be 172/345 + x/(-48). Which is bigger: j or 0?", "answer": "0"} | Let x be (-2)/(-4) + (-1974)/(-84). Let j be 172/345 + x/(-48). Which is bigger: j or 0? | 0 |
{"question": "Find the common denominator of 29/78 and 43/126.", "answer": "1638"} | Find the common denominator of 29/78 and 43/126. | 1638 |
{"question": "Suppose 31*p - 32*p - 4 = 0. Let d be 6/4 - p/(-8). Let y be 4/2 - 0/2. Solve x + y = d for x.", "answer": "-1"} | Suppose 31*p - 32*p - 4 = 0. Let d be 6/4 - p/(-8). Let y be 4/2 - 0/2. Solve x + y = d for x. | -1 |
{"question": "Solve 5*i = -2*i + 7 for i.", "answer": "1"} | Solve 5*i = -2*i + 7 for i. | 1 |
{"question": "What is (21 - -2) + 10 - 35?", "answer": "-2"} | What is (21 - -2) + 10 - 35? | -2 |
{"question": "-101826 divided by 1", "answer": "-101826"} | -101826 divided by 1 | -101826 |
{"question": "Solve 91*i - 100*i = 90 for i.", "answer": "-10"} | Solve 91*i - 100*i = 90 for i. | -10 |
{"question": "List the prime factors of 6060610.", "answer": "2, 5, 331, 1831"} | List the prime factors of 6060610. | 2, 5, 331, 1831 |
{"question": "Suppose -53*q = -78*q + 800. Calculate the remainder when 412 is divided by q.", "answer": "28"} | Suppose -53*q = -78*q + 800. Calculate the remainder when 412 is divided by q. | 28 |
{"question": "Suppose 5*g + h = 144, -34*g + 142 = -29*g + 3*h. Solve i = 5*f + 5*i + g, 3*f - 3*i = -12 for f.", "answer": "-5"} | Suppose 5*g + h = 144, -34*g + 142 = -29*g + 3*h. Solve i = 5*f + 5*i + g, 3*f - 3*i = -12 for f. | -5 |
{"question": "Rearrange s**4 - 11716*s + 152*s**3 - 4 + 11716*s + 1 to the form c*s**4 + g + j*s**3 + z*s + o*s**2 and give g.", "answer": "-3"} | Rearrange s**4 - 11716*s + 152*s**3 - 4 + 11716*s + 1 to the form c*s**4 + g + j*s**3 + z*s + o*s**2 and give g. | -3 |
{"question": "Let y = 44 + -47. Which is the closest to y? (a) 6/7 (b) 0 (c) -1/4", "answer": "c"} | Let y = 44 + -47. Which is the closest to y? (a) 6/7 (b) 0 (c) -1/4 | c |
{"question": "Let m = -412 - -1864. What is the common denominator of (0 - 2)*(-182)/88 and 6182/m - ((-4)/(-6) - 1)?", "answer": "22"} | Let m = -412 - -1864. What is the common denominator of (0 - 2)*(-182)/88 and 6182/m - ((-4)/(-6) - 1)? | 22 |
{"question": "Let w(k) = -k**2 + 5*k - 3. Let d be w(2). Let a be (-196)/d + 4/(-6). Calculate the least common multiple of ((-11)/22)/(1/a) and 9.", "answer": "99"} | Let w(k) = -k**2 + 5*k - 3. Let d be w(2). Let a be (-196)/d + 4/(-6). Calculate the least common multiple of ((-11)/22)/(1/a) and 9. | 99 |
{"question": "Collect the terms in 3964*r - 23744*r + 3957*r + 3953*r + 3959*r + 3946*r + 3966*r.", "answer": "r"} | Collect the terms in 3964*r - 23744*r + 3957*r + 3953*r + 3959*r + 3946*r + 3966*r. | r |
{"question": "Solve -22*v - 5*v = -81 for v.", "answer": "3"} | Solve -22*v - 5*v = -81 for v. | 3 |
{"question": "Convert 185750 (base 9) to base 14.", "answer": "302b0"} | Convert 185750 (base 9) to base 14. | 302b0 |
{"question": "Solve 15 = -2*d + 5 for d.", "answer": "-5"} | Solve 15 = -2*d + 5 for d. | -5 |
{"question": "What is the highest common divisor of 35 and 560?", "answer": "35"} | What is the highest common divisor of 35 and 560? | 35 |
{"question": "Put 4, 76, -1/7, 1/3, -20, -3 in descending order.", "answer": "76, 4, 1/3, -1/7, -3, -20"} | Put 4, 76, -1/7, 1/3, -20, -3 in descending order. | 76, 4, 1/3, -1/7, -3, -20 |
{"question": "Calculate prob of sequence hwdh when four letters picked without replacement from {f: 2, v: 4, w: 2, p: 1, h: 4, d: 1}.", "answer": "1/1001"} | Calculate prob of sequence hwdh when four letters picked without replacement from {f: 2, v: 4, w: 2, p: 1, h: 4, d: 1}. | 1/1001 |
{"question": "Let h(l) = -4*l**2 + 164*l - 1084. What is h(33)?", "answer": "-28"} | Let h(l) = -4*l**2 + 164*l - 1084. What is h(33)? | -28 |
{"question": "Simplify 4 + (-5 + sqrt(684)*3 + -5 + sqrt(684) + (sqrt(684) - (-2 + sqrt(684)*3)) + -3)**2 + -2.", "answer": "-264*sqrt(19) + 2859"} | Simplify 4 + (-5 + sqrt(684)*3 + -5 + sqrt(684) + (sqrt(684) - (-2 + sqrt(684)*3)) + -3)**2 + -2. | -264*sqrt(19) + 2859 |
{"question": "Let k be (27 - 1)/(5 - 3). Let a = -10 - -14. Suppose i = k - a. What are the prime factors of i?", "answer": "3"} | Let k be (27 - 1)/(5 - 3). Let a = -10 - -14. Suppose i = k - a. What are the prime factors of i? | 3 |
{"question": "What is the hundreds digit of 25252?", "answer": "2"} | What is the hundreds digit of 25252? | 2 |
{"question": "Let w = 5153 + -3364. What is the units digit of w?", "answer": "9"} | Let w = 5153 + -3364. What is the units digit of w? | 9 |
{"question": "Suppose a + 7 = 5*i - 3, 0 = -4*a. Let u(w) = -1121*w**3 + 2*w**2. Let b be u(i). Round b to the nearest one thousand.", "answer": "-9000"} | Suppose a + 7 = 5*i - 3, 0 = -4*a. Let u(w) = -1121*w**3 + 2*w**2. Let b be u(i). Round b to the nearest one thousand. | -9000 |
{"question": "Express -5*k**2 + 6*k - k + 1 + 3*k - 5*k in the form c + m*k**2 + n*k and give m.", "answer": "-5"} | Express -5*k**2 + 6*k - k + 1 + 3*k - 5*k in the form c + m*k**2 + n*k and give m. | -5 |
{"question": "Put together 838422812 and -108.", "answer": "838422704"} | Put together 838422812 and -108. | 838422704 |
{"question": "Suppose 0 = h + 3 - 5. Let s(b) be the first derivative of -1/3*b**3 + b + 2 + 0*b**h. Let w(a) = -a - 1. Calculate s(p) - w(p).", "answer": "-p**2 + p + 2"} | Suppose 0 = h + 3 - 5. Let s(b) be the first derivative of -1/3*b**3 + b + 2 + 0*b**h. Let w(a) = -a - 1. Calculate s(p) - w(p). | -p**2 + p + 2 |
{"question": "In base 10, what is -5 - 98056?", "answer": "-98061"} | In base 10, what is -5 - 98056? | -98061 |
{"question": "How many minutes are there between 3:42 AM and 3:02 PM?", "answer": "680"} | How many minutes are there between 3:42 AM and 3:02 PM? | 680 |
{"question": "Let m(o) = 285*o**3 - 4*o + 8. Let s(p) = -286*p**3 + 5*p - 10. Give 5*m(j) + 4*s(j).", "answer": "281*j**3"} | Let m(o) = 285*o**3 - 4*o + 8. Let s(p) = -286*p**3 + 5*p - 10. Give 5*m(j) + 4*s(j). | 281*j**3 |
{"question": "What is the third root of 10121 to the nearest integer?", "answer": "22"} | What is the third root of 10121 to the nearest integer? | 22 |
{"question": "Let 2*x**4 - 146*x - 54*x**2 - 404*x + 33*x**3 - 1071*x - 4536 + x**4 + x = 0. Calculate x.", "answer": "-6, 7"} | Let 2*x**4 - 146*x - 54*x**2 - 404*x + 33*x**3 - 1071*x - 4536 + x**4 + x = 0. Calculate x. | -6, 7 |
{"question": "Is 0.2 at least as big as 647?", "answer": "False"} | Is 0.2 at least as big as 647? | False |
{"question": "Let n(h) = h**2 + 10*h - 12. Let q(j) = 2*j**2 + 10*j - 9. What is 4*n(l) - 5*q(l)?", "answer": "-6*l**2 - 10*l - 3"} | Let n(h) = h**2 + 10*h - 12. Let q(j) = 2*j**2 + 10*j - 9. What is 4*n(l) - 5*q(l)? | -6*l**2 - 10*l - 3 |
{"question": "Let i be 1*(0 + 2) - -1. Suppose 0 = -3*d - 3*p + 81, -i*d + 2*p - 78 = -6*d. What is the units digit of d?", "answer": "4"} | Let i be 1*(0 + 2) - -1. Suppose 0 = -3*d - 3*p + 81, -i*d + 2*p - 78 = -6*d. What is the units digit of d? | 4 |
{"question": "Let u(x) = -532*x - 535. Calculate u(-1).", "answer": "-3"} | Let u(x) = -532*x - 535. Calculate u(-1). | -3 |
{"question": "-8 (base 12) to base 11", "answer": "-8"} | -8 (base 12) to base 11 | -8 |
{"question": "What is the greatest common divisor of 306 and 414?", "answer": "18"} | What is the greatest common divisor of 306 and 414? | 18 |
{"question": "Let q(h) = 25*h**2 - 17834*h. Let w(r) = -39*r**2 + 26747*r. What is 11*q(g) + 7*w(g)?", "answer": "2*g**2 - 8945*g"} | Let q(h) = 25*h**2 - 17834*h. Let w(r) = -39*r**2 + 26747*r. What is 11*q(g) + 7*w(g)? | 2*g**2 - 8945*g |
{"question": "Calculate (-2 - -1 - -21) + (-43 - 15 - -50).", "answer": "12"} | Calculate (-2 - -1 - -21) + (-43 - 15 - -50). | 12 |
{"question": "Multiply -50710 and -0.26.", "answer": "13184.6"} | Multiply -50710 and -0.26. | 13184.6 |
{"question": "Suppose 3 = 5*r - 0*q - 4*q, 21 = 2*r + 5*q. Let z(d) = 5*d - 3. Let k(x) be the first derivative of 7*x**2 - 8*x + 32. Give r*k(i) - 8*z(i).", "answer": "2*i"} | Suppose 3 = 5*r - 0*q - 4*q, 21 = 2*r + 5*q. Let z(d) = 5*d - 3. Let k(x) be the first derivative of 7*x**2 - 8*x + 32. Give r*k(i) - 8*z(i). | 2*i |
{"question": "What is 849 to the power of 1/5, to the nearest integer?", "answer": "4"} | What is 849 to the power of 1/5, to the nearest integer? | 4 |
{"question": "What is the next term in 46, 78, 126, 196, 294?", "answer": "426"} | What is the next term in 46, 78, 126, 196, 294? | 426 |
{"question": "Let m(a) = -a**3 - 2*a**2 - a. Let d be m(-7). Suppose 0 = -33*c + 29*c - d. Let q = 152 + c. List the prime factors of q.", "answer": "89"} | Let m(a) = -a**3 - 2*a**2 - a. Let d be m(-7). Suppose 0 = -33*c + 29*c - d. Let q = 152 + c. List the prime factors of q. | 89 |
{"question": "Four letters picked without replacement from fxffxffxxffffx. What is prob of sequence fxfx?", "answer": "60/1001"} | Four letters picked without replacement from fxffxffxxffffx. What is prob of sequence fxfx? | 60/1001 |
{"question": "What is the remainder when 358 is divided by (8/(-4)*(-8)/7)/((-300)/(-11550))?", "answer": "6"} | What is the remainder when 358 is divided by (8/(-4)*(-8)/7)/((-300)/(-11550))? | 6 |
{"question": "What is 708 minutes after 6:12 PM?", "answer": "6:00 AM"} | What is 708 minutes after 6:12 PM? | 6:00 AM |
{"question": "Let j = -16 + 14. Is j at least as big as -2?", "answer": "True"} | Let j = -16 + 14. Is j at least as big as -2? | True |
{"question": "What is prob of sequence err when three letters picked without replacement from lrurrrrulsrenesseers?", "answer": "7/285"} | What is prob of sequence err when three letters picked without replacement from lrurrrrulsrenesseers? | 7/285 |
{"question": "List the prime factors of 14844004.", "answer": "2, 7, 530143"} | List the prime factors of 14844004. | 2, 7, 530143 |
{"question": "Let n be (-30)/(-4)*24/9. Let h = n - 8. Let p(g) = g**2 - 13*g + 14. Let m be p(h). Solve -m + 0 = -2*y for y.", "answer": "1"} | Let n be (-30)/(-4)*24/9. Let h = n - 8. Let p(g) = g**2 - 13*g + 14. Let m be p(h). Solve -m + 0 = -2*y for y. | 1 |
{"question": "What is the hundred thousands digit of 1581057335?", "answer": "0"} | What is the hundred thousands digit of 1581057335? | 0 |
{"question": "(((-6)/(-14))/3)/((135/21)/9)", "answer": "1/5"} | (((-6)/(-14))/3)/((135/21)/9) | 1/5 |
{"question": "Calculate -3 - ((-102)/42)/1.", "answer": "-4/7"} | Calculate -3 - ((-102)/42)/1. | -4/7 |
{"question": "What is 12/3*-9*(-11)/1782?", "answer": "2/9"} | What is 12/3*-9*(-11)/1782? | 2/9 |
{"question": "Simplify 4 + -4 + sqrt(153)/(-2*sqrt(900)) + ((-1*sqrt(102) - sqrt(102) - sqrt(102))/sqrt(6) - sqrt(17) - (sqrt(85)/sqrt(45) - sqrt(17)))**2.", "answer": "-sqrt(17)/20 + 1700/9"} | Simplify 4 + -4 + sqrt(153)/(-2*sqrt(900)) + ((-1*sqrt(102) - sqrt(102) - sqrt(102))/sqrt(6) - sqrt(17) - (sqrt(85)/sqrt(45) - sqrt(17)))**2. | -sqrt(17)/20 + 1700/9 |
{"question": "Let g(j) be the third derivative of -j**8/84 - j**6/24 - 3*j**4/4 + j**2 + 24*j. What is the second derivative of g(r) wrt r?", "answer": "-80*r**3 - 30*r"} | Let g(j) be the third derivative of -j**8/84 - j**6/24 - 3*j**4/4 + j**2 + 24*j. What is the second derivative of g(r) wrt r? | -80*r**3 - 30*r |
{"question": "Rearrange 21*p - 21*p + 4 + 2*p**3 + 2*p**2 + 3*p**3 to m + c*p + h*p**2 + a*p**3 and give m.", "answer": "4"} | Rearrange 21*p - 21*p + 4 + 2*p**3 + 2*p**2 + 3*p**3 to m + c*p + h*p**2 + a*p**3 and give m. | 4 |
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