text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Two letters picked without replacement from {i: 3, r: 1, v: 1, z: 1, u: 14}. What is prob of picking 1 u and 1 v?", "answer": "7/95"} | Two letters picked without replacement from {i: 3, r: 1, v: 1, z: 1, u: 14}. What is prob of picking 1 u and 1 v? | 7/95 |
{"question": "Express (0*l**3 - 2*l**3 + 0*l**3)*(2 - 5 + 2) - 68*l + 49*l**3 + 68*l - l**3 + 4*l**3 - 2*l**3 as s + w*l**3 + c*l**2 + x*l and give c.", "answer": "0"} | Express (0*l**3 - 2*l**3 + 0*l**3)*(2 - 5 + 2) - 68*l + 49*l**3 + 68*l - l**3 + 4*l**3 - 2*l**3 as s + w*l**3 + c*l**2 + x*l and give c. | 0 |
{"question": "Does 14 divide 10761?", "answer": "False"} | Does 14 divide 10761? | False |
{"question": "What are the prime factors of 3663949?", "answer": "3663949"} | What are the prime factors of 3663949? | 3663949 |
{"question": "Collect the terms in -9 - 6*r**2 - 7 + r**2 + 22 - 3.", "answer": "-5*r**2 + 3"} | Collect the terms in -9 - 6*r**2 - 7 + r**2 + 22 - 3. | -5*r**2 + 3 |
{"question": "What is the highest common factor of 65 and 115037?", "answer": "13"} | What is the highest common factor of 65 and 115037? | 13 |
{"question": "Calculate -24 + -9 + ((-1 - -10) + -17 - -20).", "answer": "-21"} | Calculate -24 + -9 + ((-1 - -10) + -17 - -20). | -21 |
{"question": "What is the w'th term of 3, -5, -35, -99, -209, -377?", "answer": "-2*w**3 + w**2 + 3*w + 1"} | What is the w'th term of 3, -5, -35, -99, -209, -377? | -2*w**3 + w**2 + 3*w + 1 |
{"question": "Suppose w - 1 = 3. Let n = -15 + w. What are the prime factors of (1/2)/(n/(-88))?", "answer": "2"} | Suppose w - 1 = 3. Let n = -15 + w. What are the prime factors of (1/2)/(n/(-88))? | 2 |
{"question": "Let v = 1 + 12. Let l = -10 + v. Let u = l + -2.9998. What is u rounded to three dps?", "answer": "0"} | Let v = 1 + 12. Let l = -10 + v. Let u = l + -2.9998. What is u rounded to three dps? | 0 |
{"question": "Let y(n) be the second derivative of 1/5*n**5 + 0*n**2 + 0 + 0*n**3 + n**4 - 194*n - 1/30*n**6. What is g in y(g) = 0?", "answer": "-2, 0, 6"} | Let y(n) be the second derivative of 1/5*n**5 + 0*n**2 + 0 + 0*n**3 + n**4 - 194*n - 1/30*n**6. What is g in y(g) = 0? | -2, 0, 6 |
{"question": "Let q be (-24)/(-60) - (-4)/(-10). Suppose q*t + t - 112 = 0. Suppose g = 5*n - 379, 4*n - t - 197 = -5*g. Is 12 a factor of n?", "answer": "False"} | Let q be (-24)/(-60) - (-4)/(-10). Suppose q*t + t - 112 = 0. Suppose g = 5*n - 379, 4*n - t - 197 = -5*g. Is 12 a factor of n? | False |
{"question": "Suppose -675 = -6*h - 663. Solve 694*p**h - 692*p**2 - 19*p - 4*p - 11*p + 8*p = 0.", "answer": "0, 13"} | Suppose -675 = -6*h - 663. Solve 694*p**h - 692*p**2 - 19*p - 4*p - 11*p + 8*p = 0. | 0, 13 |
{"question": "Let t be (-112)/(-42)*129/4. Let q = t - 54. What is the remainder when q is divided by 9?", "answer": "5"} | Let t be (-112)/(-42)*129/4. Let q = t - 54. What is the remainder when q is divided by 9? | 5 |
{"question": "How many minutes are there between 2:41 PM and 2:25 AM?", "answer": "704"} | How many minutes are there between 2:41 PM and 2:25 AM? | 704 |
{"question": "Solve 5*m + 30 = 5*r, 3*m - 2 = 194*r - 196*r for r.", "answer": "4"} | Solve 5*m + 30 = 5*r, 3*m - 2 = 194*r - 196*r for r. | 4 |
{"question": "Two letters picked without replacement from zlzzzzzllzzz. Give prob of picking 1 z and 1 l.", "answer": "9/22"} | Two letters picked without replacement from zlzzzzzllzzz. Give prob of picking 1 z and 1 l. | 9/22 |
{"question": "Let s = -616 + 611. Let d(k) = -15*k - 4. Let j(r) = 19*r + 5. Let q(h) = s*d(h) - 4*j(h). Let u(b) = 5*b + 1. Determine q(u(p)).", "answer": "-5*p - 1"} | Let s = -616 + 611. Let d(k) = -15*k - 4. Let j(r) = 19*r + 5. Let q(h) = s*d(h) - 4*j(h). Let u(b) = 5*b + 1. Determine q(u(p)). | -5*p - 1 |
{"question": "Let i(l) be the first derivative of -4 - 8/5*l - 6/5*l**3 + 1/5*l**4 + 12/5*l**2. Factor i(a).", "answer": "2*(a - 2)**2*(2*a - 1)/5"} | Let i(l) be the first derivative of -4 - 8/5*l - 6/5*l**3 + 1/5*l**4 + 12/5*l**2. Factor i(a). | 2*(a - 2)**2*(2*a - 1)/5 |
{"question": "What is the y'th term of -1139699, -2279402, -3419103, -4558802, -5698499, -6838194, -7977887?", "answer": "y**2 - 1139706*y + 6"} | What is the y'th term of -1139699, -2279402, -3419103, -4558802, -5698499, -6838194, -7977887? | y**2 - 1139706*y + 6 |
{"question": "Suppose 3*g + 5*o = 3*o - 10, -5*o = g + 25. Which is the closest to -0.1? (a) 0.3 (b) g (c) -2", "answer": "b"} | Suppose 3*g + 5*o = 3*o - 10, -5*o = g + 25. Which is the closest to -0.1? (a) 0.3 (b) g (c) -2 | b |
{"question": "Sort -0.4, 0, -5, 3, -11 in descending order.", "answer": "3, 0, -0.4, -5, -11"} | Sort -0.4, 0, -5, 3, -11 in descending order. | 3, 0, -0.4, -5, -11 |
{"question": "Calculate ((-15)/((-675)/18))/(6/(-390)).", "answer": "-26"} | Calculate ((-15)/((-675)/18))/(6/(-390)). | -26 |
{"question": "Let v(a) = -5*a**2 + a. Let n(p) = 120*p. What is n(v(o))?", "answer": "-600*o**2 + 120*o"} | Let v(a) = -5*a**2 + a. Let n(p) = 120*p. What is n(v(o))? | -600*o**2 + 120*o |
{"question": "Let s(o) = 6*o - 5. Let g be s(5). Suppose 21*y + 8 = g*y. Solve 4*r = y - 14 for r.", "answer": "-3"} | Let s(o) = 6*o - 5. Let g be s(5). Suppose 21*y + 8 = g*y. Solve 4*r = y - 14 for r. | -3 |
{"question": "Suppose -3*s + 3*h = -27, -3*s + 69 = 2*s + 3*h. List the prime factors of s.", "answer": "2, 3"} | Suppose -3*s + 3*h = -27, -3*s + 69 = 2*s + 3*h. List the prime factors of s. | 2, 3 |
{"question": "-230 (base 5) to base 16", "answer": "-41"} | -230 (base 5) to base 16 | -41 |
{"question": "Simplify -4*((0 + sqrt(11))*3*3 + 1)**2.", "answer": "-3568 - 72*sqrt(11)"} | Simplify -4*((0 + sqrt(11))*3*3 + 1)**2. | -3568 - 72*sqrt(11) |
{"question": "Which is the fourth biggest value? (a) 1/3 (b) -2 (c) 0.1 (d) -0.4", "answer": "b"} | Which is the fourth biggest value? (a) 1/3 (b) -2 (c) 0.1 (d) -0.4 | b |
{"question": "Let s = 1513 + -1521.2. Is -3 at least as big as s?", "answer": "True"} | Let s = 1513 + -1521.2. Is -3 at least as big as s? | True |
{"question": "Let s(z) = -4 - 2 + 10 - 12*z - 9. Let o be (-20)/180 - (2 + 78/27). Let h(l) = 102*l + 42. Give o*h(q) - 42*s(q).", "answer": "-6*q"} | Let s(z) = -4 - 2 + 10 - 12*z - 9. Let o be (-20)/180 - (2 + 78/27). Let h(l) = 102*l + 42. Give o*h(q) - 42*s(q). | -6*q |
{"question": "Is 86746663 a composite number?", "answer": "False"} | Is 86746663 a composite number? | False |
{"question": "What are the prime factors of 15973?", "answer": "15973"} | What are the prime factors of 15973? | 15973 |
{"question": "Suppose d - 436 = 5*m, 320 = -3*d + 3*m + 1664. Is d a composite number?", "answer": "True"} | Suppose d - 436 = 5*m, 320 = -3*d + 3*m + 1664. Is d a composite number? | True |
{"question": "Let f(w) = 8*w**3 - 5*w**2 - 12*w + 13. What is the tens digit of f(5)?", "answer": "2"} | Let f(w) = 8*w**3 - 5*w**2 - 12*w + 13. What is the tens digit of f(5)? | 2 |
{"question": "Simplify (1*((sqrt(147) + sqrt(147) + 0)*6 - sqrt(147)))**2.", "answer": "17787"} | Simplify (1*((sqrt(147) + sqrt(147) + 0)*6 - sqrt(147)))**2. | 17787 |
{"question": "Let h = 14 + -14. Suppose 4*o + 52 - 288 = h. Is 20 a factor of o?", "answer": "False"} | Let h = 14 + -14. Suppose 4*o + 52 - 288 = h. Is 20 a factor of o? | False |
{"question": "Let c = -11 + 10.76. Let h = 0.16 - c. Let q = -0.1 - -0.1. What is the nearest to -1/2 in -2/7, q, h?", "answer": "-2/7"} | Let c = -11 + 10.76. Let h = 0.16 - c. Let q = -0.1 - -0.1. What is the nearest to -1/2 in -2/7, q, h? | -2/7 |
{"question": "Put together -802 and 6574341.", "answer": "6573539"} | Put together -802 and 6574341. | 6573539 |
{"question": "Let k = 423 + 135. Let h = k + -166. Calculate the greatest common divisor of h and 112.", "answer": "56"} | Let k = 423 + 135. Let h = k + -166. Calculate the greatest common divisor of h and 112. | 56 |
{"question": "Let x(b) = 4*b + 20. Let l be x(12). Let v = l + -61. Solve 5*s - 2*k = 4, k = 3*s - v*s - 2 for s.", "answer": "0"} | Let x(b) = 4*b + 20. Let l be x(12). Let v = l + -61. Solve 5*s - 2*k = 4, k = 3*s - v*s - 2 for s. | 0 |
{"question": "Let b(f) be the second derivative of -f**5/5 + 2*f**3/3 + 3*f. Factor b(v).", "answer": "-4*v*(v - 1)*(v + 1)"} | Let b(f) be the second derivative of -f**5/5 + 2*f**3/3 + 3*f. Factor b(v). | -4*v*(v - 1)*(v + 1) |
{"question": "Simplify j/j**2*(j/((j*j*j/(j/(j/j**10)*j)*j*j)/j)*j)/j*j**(-5/6)*j**(-10) assuming j is positive.", "answer": "j**(-23/6)"} | Simplify j/j**2*(j/((j*j*j/(j/(j/j**10)*j)*j*j)/j)*j)/j*j**(-5/6)*j**(-10) assuming j is positive. | j**(-23/6) |
{"question": "Let n = 11794 + -11632. What is the highest common factor of 3294 and n?", "answer": "54"} | Let n = 11794 + -11632. What is the highest common factor of 3294 and n? | 54 |
{"question": "Let h(j) = j**3 + j**2. Let c(l) = 281*l**3 - 2*l**2. What is -3*c(b) - 6*h(b)?", "answer": "-849*b**3"} | Let h(j) = j**3 + j**2. Let c(l) = 281*l**3 - 2*l**2. What is -3*c(b) - 6*h(b)? | -849*b**3 |
{"question": "Evaluate -2 - ((-5 - (-4 - -1)) + 5).", "answer": "-5"} | Evaluate -2 - ((-5 - (-4 - -1)) + 5). | -5 |
{"question": "Does 607 divide 695015?", "answer": "True"} | Does 607 divide 695015? | True |
{"question": "What is -0.3882 + -2658.761?", "answer": "-2659.1492"} | What is -0.3882 + -2658.761? | -2659.1492 |
{"question": "Let g be 1 - (33530/7)/(-10). What is the highest common factor of g and 360?", "answer": "120"} | Let g be 1 - (33530/7)/(-10). What is the highest common factor of g and 360? | 120 |
{"question": "What is the next term in 35, 80, 173, 338, 599?", "answer": "980"} | What is the next term in 35, 80, 173, 338, 599? | 980 |
{"question": "What is the greatest common divisor of 499793570 and 30?", "answer": "10"} | What is the greatest common divisor of 499793570 and 30? | 10 |
{"question": "Find the second derivative of 7963169*x**3 + 16494871*x wrt x.", "answer": "47779014*x"} | Find the second derivative of 7963169*x**3 + 16494871*x wrt x. | 47779014*x |
{"question": "What is next in -127485, -254697, -381909?", "answer": "-509121"} | What is next in -127485, -254697, -381909? | -509121 |
{"question": "-2.1 * 0.13", "answer": "-0.273"} | -2.1 * 0.13 | -0.273 |
{"question": "What is prob of picking 2 o and 1 i when three letters picked without replacement from {o: 2, i: 2, d: 4, e: 2, l: 4}?", "answer": "1/182"} | What is prob of picking 2 o and 1 i when three letters picked without replacement from {o: 2, i: 2, d: 4, e: 2, l: 4}? | 1/182 |
{"question": "Is 47514279 prime?", "answer": "False"} | Is 47514279 prime? | False |
{"question": "Let y be (-12)/40 + (-13)/(-30). Let k be 1311/(-3990) - 2/28. Let x = 2.21 + -2.1. Which is the smallest value? (a) k (b) x (c) 3/5 (d) y", "answer": "a"} | Let y be (-12)/40 + (-13)/(-30). Let k be 1311/(-3990) - 2/28. Let x = 2.21 + -2.1. Which is the smallest value? (a) k (b) x (c) 3/5 (d) y | a |
{"question": "Let m(q) = q**3 + 15*q**2 - 16*q + 4. Let r be m(-16). Solve 11*a - 12*a = -r for a.", "answer": "4"} | Let m(q) = q**3 + 15*q**2 - 16*q + 4. Let r be m(-16). Solve 11*a - 12*a = -r for a. | 4 |
{"question": "What is (-1)/((6/(-147))/((-2)/7))?", "answer": "-7"} | What is (-1)/((6/(-147))/((-2)/7))? | -7 |
{"question": "Let s(z) be the third derivative of -11*z**5/30 + 2*z**3/3 + 190*z**2. Let n(q) = 2*q**2. What is s(n(x))?", "answer": "-88*x**4 + 4"} | Let s(z) be the third derivative of -11*z**5/30 + 2*z**3/3 + 190*z**2. Let n(q) = 2*q**2. What is s(n(x))? | -88*x**4 + 4 |
{"question": "What comes next: -81611, -326221, -733905, -1304663, -2038495?", "answer": "-2935401"} | What comes next: -81611, -326221, -733905, -1304663, -2038495? | -2935401 |
{"question": "Let l(o) be the third derivative of -o**4/12 - o**3/6 - 10*o**2 + 30. Let b(j) = -2*j - 6. Let c(d) = -1. Let y(w) = b(w) - 6*c(w). Calculate -3*l(z) + 4*y(z).", "answer": "-2*z + 3"} | Let l(o) be the third derivative of -o**4/12 - o**3/6 - 10*o**2 + 30. Let b(j) = -2*j - 6. Let c(d) = -1. Let y(w) = b(w) - 6*c(w). Calculate -3*l(z) + 4*y(z). | -2*z + 3 |
{"question": "Solve -18 = -2*c + 3*l, -4*c - 4 + 12 = l for c.", "answer": "3"} | Solve -18 = -2*c + 3*l, -4*c - 4 + 12 = l for c. | 3 |
{"question": "What is 491 minutes after 8:24 AM?", "answer": "4:35 PM"} | What is 491 minutes after 8:24 AM? | 4:35 PM |
{"question": "Let s = 667.5 - 668. Sort s, 5, -2638 in increasing order.", "answer": "-2638, s, 5"} | Let s = 667.5 - 668. Sort s, 5, -2638 in increasing order. | -2638, s, 5 |
{"question": "How many minutes are there between 11:53 PM and 10:55 AM?", "answer": "662"} | How many minutes are there between 11:53 PM and 10:55 AM? | 662 |
{"question": "Simplify (f*f**5*f/(f*f**(3/2)*f))/(f*f**(-2)*f*f/f**(-1/5)*f) assuming f is positive.", "answer": "f**(13/10)"} | Simplify (f*f**5*f/(f*f**(3/2)*f))/(f*f**(-2)*f*f/f**(-1/5)*f) assuming f is positive. | f**(13/10) |
{"question": "Let a = -15/209 - -5360/1881. Find the common denominator of -2*34/40*12/54 and a.", "answer": "45"} | Let a = -15/209 - -5360/1881. Find the common denominator of -2*34/40*12/54 and a. | 45 |
{"question": "Solve 17*v - 3*v + 126 = 0 for v.", "answer": "-9"} | Solve 17*v - 3*v + 126 = 0 for v. | -9 |
{"question": "Does 4 divide 6 + 4/6 + (-1)/(-3)?", "answer": "False"} | Does 4 divide 6 + 4/6 + (-1)/(-3)? | False |
{"question": "Suppose 2*p - p - 193 = 0. Let d = 67 + p. What is d rounded to the nearest 100?", "answer": "300"} | Suppose 2*p - p - 193 = 0. Let d = 67 + p. What is d rounded to the nearest 100? | 300 |
{"question": "What is the value of ((-16)/(-30))/((-144)/(-90) - 2) - (-40)/(-10)?", "answer": "-16/3"} | What is the value of ((-16)/(-30))/((-144)/(-90) - 2) - (-40)/(-10)? | -16/3 |
{"question": "Let z = 5 + -4. Let s be -2*(-4)/(-48)*z. What is the third biggest value in 2, s, 4?", "answer": "s"} | Let z = 5 + -4. Let s be -2*(-4)/(-48)*z. What is the third biggest value in 2, s, 4? | s |
{"question": "Express -10*u**2 - 265695*u + 265695*u - 17*u**3 as a*u**3 + z + v*u + b*u**2 and give b.", "answer": "-10"} | Express -10*u**2 - 265695*u + 265695*u - 17*u**3 as a*u**3 + z + v*u + b*u**2 and give b. | -10 |
{"question": "Calculate the common denominator of 29/12 and -29/5.", "answer": "60"} | Calculate the common denominator of 29/12 and -29/5. | 60 |
{"question": "Suppose -52*w + 43*w - 1224 = 0. Let k = w + 145. Solve 5*l - 8*l + k = 0 for l.", "answer": "3"} | Suppose -52*w + 43*w - 1224 = 0. Let k = w + 145. Solve 5*l - 8*l + k = 0 for l. | 3 |
{"question": "Solve 1 = 3*n - 2*t + 32 - 3, 5*n = -3*t + 42 for n.", "answer": "0"} | Solve 1 = 3*n - 2*t + 32 - 3, 5*n = -3*t + 42 for n. | 0 |
{"question": "Calculate prob of sequence ou when two letters picked without replacement from {f: 2, u: 5, y: 3, o: 2}.", "answer": "5/66"} | Calculate prob of sequence ou when two letters picked without replacement from {f: 2, u: 5, y: 3, o: 2}. | 5/66 |
{"question": "Is 2805277 a multiple of 203?", "answer": "False"} | Is 2805277 a multiple of 203? | False |
{"question": "Let m(k) = 3*k - 9. Determine m(2).", "answer": "-3"} | Let m(k) = 3*k - 9. Determine m(2). | -3 |
{"question": "What is 23815.29167 rounded to the nearest one thousand?", "answer": "24000"} | What is 23815.29167 rounded to the nearest one thousand? | 24000 |
{"question": "How many minutes are there between 6:10 PM and 5:17 AM?", "answer": "667"} | How many minutes are there between 6:10 PM and 5:17 AM? | 667 |
{"question": "Which is the nearest to -11? (a) 37 (b) 2 (c) -2/7", "answer": "c"} | Which is the nearest to -11? (a) 37 (b) 2 (c) -2/7 | c |
{"question": "Let s be (2 - 1)/(0 - -1). Let i be (-3 + -2)*(-1)/s. Solve i*p + 10 = -5*f, p - 2*f = 5*p + 12 for p.", "answer": "-4"} | Let s be (2 - 1)/(0 - -1). Let i be (-3 + -2)*(-1)/s. Solve i*p + 10 = -5*f, p - 2*f = 5*p + 12 for p. | -4 |
{"question": "Calculate (-2)/17*83/83.", "answer": "-2/17"} | Calculate (-2)/17*83/83. | -2/17 |
{"question": "Is 16710517 a composite number?", "answer": "False"} | Is 16710517 a composite number? | False |
{"question": "What is the value of (-76)/(-3) - (8 + -8 - 12/(-9))?", "answer": "24"} | What is the value of (-76)/(-3) - (8 + -8 - 12/(-9))? | 24 |
{"question": "Let n = 550.9 - 551. Which is greater: 12/5 or n?", "answer": "12/5"} | Let n = 550.9 - 551. Which is greater: 12/5 or n? | 12/5 |
{"question": "Solve -2*p**4/5 - 8*p**3 + 26*p**2/5 + 496*p/5 - 96 = 0 for p.", "answer": "-20, -4, 1, 3"} | Solve -2*p**4/5 - 8*p**3 + 26*p**2/5 + 496*p/5 - 96 = 0 for p. | -20, -4, 1, 3 |
{"question": "Which is greater: -1/5201 or -1?", "answer": "-1/5201"} | Which is greater: -1/5201 or -1? | -1/5201 |
{"question": "Suppose -257 - 125 = -5*t - 2*j, -2*j - 74 = -t. What is t rounded to the nearest ten?", "answer": "80"} | Suppose -257 - 125 = -5*t - 2*j, -2*j - 74 = -t. What is t rounded to the nearest ten? | 80 |
{"question": "Calculate 5 divided by 55067648.", "answer": "5/55067648"} | Calculate 5 divided by 55067648. | 5/55067648 |
{"question": "What is the sixth root of 19535 to the nearest integer?", "answer": "5"} | What is the sixth root of 19535 to the nearest integer? | 5 |
{"question": "How many months are there in one sixteenth of a century?", "answer": "75"} | How many months are there in one sixteenth of a century? | 75 |
{"question": "Rearrange (-6*m**2 + 6*m - 6*m)*(-18 + 21*m**2 - 4307128*m + 4307128*m) to the form c*m + v + k*m**3 + b*m**2 + z*m**4 and give z.", "answer": "-126"} | Rearrange (-6*m**2 + 6*m - 6*m)*(-18 + 21*m**2 - 4307128*m + 4307128*m) to the form c*m + v + k*m**3 + b*m**2 + z*m**4 and give z. | -126 |
{"question": "Let b = 7 + -31. Let t = b + 19. Let l(v) = v**2 + 5*v - 6. What is l(t)?", "answer": "-6"} | Let b = 7 + -31. Let t = b + 19. Let l(v) = v**2 + 5*v - 6. What is l(t)? | -6 |
{"question": "Simplify (g**(2/27))**(1/8) assuming g is positive.", "answer": "g**(1/108)"} | Simplify (g**(2/27))**(1/8) assuming g is positive. | g**(1/108) |
{"question": "What are the prime factors of 709304?", "answer": "2, 88663"} | What are the prime factors of 709304? | 2, 88663 |
{"question": "Let j = -342.7 - -344.899. What is j rounded to one dp?", "answer": "2.2"} | Let j = -342.7 - -344.899. What is j rounded to one dp? | 2.2 |
{"question": "100030 (base 4) to base 6", "answer": "4444"} | 100030 (base 4) to base 6 | 4444 |
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