question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify (l**(1/2)*l*l**2*l*(l*l**5/l)/l*l**(-1/4))/(l**5*l*(l*l**(-2/3)/l)/l)**(-11) assuming l is positive.\n' | b'l**(671/12)\n' | b'Simplify (l**(1/2)*l*l**2*l*(l*l**5/l)/l*l**(-1/4))/(l**5*l*(l*l**(-2/3)/l)/l)**(-11) assuming l is positive.\n' | b'l**(671/12)\n' | deepmind/math_dataset |
b'Suppose 8*s + 2*s - 1510 = 0. Find the third derivative of 18 + v - s*v**3 + 153*v**3 - 36*v**4 - v - 2*v**2 wrt v.\n' | b'-864*v + 12\n' | b'Suppose 8*s + 2*s - 1510 = 0. Find the third derivative of 18 + v - s*v**3 + 153*v**3 - 36*v**4 - v - 2*v**2 wrt v.\n' | b'-864*v + 12\n' | deepmind/math_dataset |
b'Let a(x) be the second derivative of 2*x**3/3 + 11*x**2/2 - 140*x. Calculate a(-5).\n' | b'-9\n' | b'Let a(x) be the second derivative of 2*x**3/3 + 11*x**2/2 - 140*x. Calculate a(-5).\n' | b'-9\n' | deepmind/math_dataset |
b'Let q(v) = -2*v - 7 - 2 - 4 + 5. Let y be q(-5). Suppose 4 = 5*f - z - 39, 33 = 3*f - 3*z. Solve 4*t = y*c + 12, 0*c + 2*c = -f for t.\n' | b'1\n' | b'Let q(v) = -2*v - 7 - 2 - 4 + 5. Let y be q(-5). Suppose 4 = 5*f - z - 39, 33 = 3*f - 3*z. Solve 4*t = y*c + 12, 0*c + 2*c = -f for t.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ohqquoqqqqqhzq. What is prob of sequence quu?\n' | b'0\n' | b'Three letters picked without replacement from ohqquoqqqqqhzq. What is prob of sequence quu?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fmzfffz. Give prob of picking 3 f and 1 z.\n' | b'8/35\n' | b'Four letters picked without replacement from fmzfffz. Give prob of picking 3 f and 1 z.\n' | b'8/35\n' | deepmind/math_dataset |
b'What is prob of sequence bi when two letters picked without replacement from iiiiiibiiibb?\n' | b'9/44\n' | b'What is prob of sequence bi when two letters picked without replacement from iiiiiibiiibb?\n' | b'9/44\n' | deepmind/math_dataset |
b'What is prob of sequence mm when two letters picked without replacement from mnnnmnnmnn?\n' | b'1/15\n' | b'What is prob of sequence mm when two letters picked without replacement from mnnnmnnmnn?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let f(z) = 272*z**4 + 5*z**2 + 37. Let q(c) = 274*c**4 + 4*c**2 + 39. Let s(j) = -4*f(j) + 3*q(j). Find the third derivative of s(w) wrt w.\n' | b'-6384*w\n' | b'Let f(z) = 272*z**4 + 5*z**2 + 37. Let q(c) = 274*c**4 + 4*c**2 + 39. Let s(j) = -4*f(j) + 3*q(j). Find the third derivative of s(w) wrt w.\n' | b'-6384*w\n' | deepmind/math_dataset |
b'What is prob of sequence tu when two letters picked without replacement from xwvvtvxbuvvvvvwuvvbw?\n' | b'1/190\n' | b'What is prob of sequence tu when two letters picked without replacement from xwvvtvxbuvvvvvwuvvbw?\n' | b'1/190\n' | deepmind/math_dataset |
b'Let m(g) = -g**2. Suppose -8 = -f - 2*a, 3*a - 12 = f + 2*f. Let z be m(f). Differentiate -1 + 0*o**4 - 2*o**4 + z with respect to o.\n' | b'-8*o**3\n' | b'Let m(g) = -g**2. Suppose -8 = -f - 2*a, 3*a - 12 = f + 2*f. Let z be m(f). Differentiate -1 + 0*o**4 - 2*o**4 + z with respect to o.\n' | b'-8*o**3\n' | deepmind/math_dataset |
b'Simplify r/r**20*r*r**(15/2) assuming r is positive.\n' | b'r**(-21/2)\n' | b'Simplify r/r**20*r*r**(15/2) assuming r is positive.\n' | b'r**(-21/2)\n' | deepmind/math_dataset |
b'What is prob of sequence shz when three letters picked without replacement from oosozooossohhs?\n' | b'1/273\n' | b'What is prob of sequence shz when three letters picked without replacement from oosozooossohhs?\n' | b'1/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence sd when two letters picked without replacement from {l: 2, s: 3, d: 3, e: 7, o: 4}.\n' | b'1/38\n' | b'Calculate prob of sequence sd when two letters picked without replacement from {l: 2, s: 3, d: 3, e: 7, o: 4}.\n' | b'1/38\n' | deepmind/math_dataset |
b'Suppose 22 = 5*s - 8. Let c be -13 - (-1)/(-1*2/(-10)). Let m be ((-21)/(-6))/(c/(-16)). Solve 3*t + j - 1 = s, 5*t + 4*j - m = 0 for t.\n' | b'3\n' | b'Suppose 22 = 5*s - 8. Let c be -13 - (-1)/(-1*2/(-10)). Let m be ((-21)/(-6))/(c/(-16)). Solve 3*t + j - 1 = s, 5*t + 4*j - m = 0 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Let m = 23 + -13. Suppose 2*n + 59 = n. Let p = -39 - n. Solve 0*g + u - m = -g, p = g + 3*u for g.\n' | b'5\n' | b'Let m = 23 + -13. Suppose 2*n + 59 = n. Let p = -39 - n. Solve 0*g + u - m = -g, p = g + 3*u for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let v(x) = -27*x**3 - x**2 - 285*x + 6. Let t(r) = -54*r**3 - 2*r**2 - 572*r + 14. Let d(f) = -3*t(f) + 7*v(f). What is the second derivative of d(q) wrt q?\n' | b'-162*q - 2\n' | b'Let v(x) = -27*x**3 - x**2 - 285*x + 6. Let t(r) = -54*r**3 - 2*r**2 - 572*r + 14. Let d(f) = -3*t(f) + 7*v(f). What is the second derivative of d(q) wrt q?\n' | b'-162*q - 2\n' | deepmind/math_dataset |
b'What is prob of picking 3 y and 1 a when four letters picked without replacement from yyyyjalya?\n' | b'10/63\n' | b'What is prob of picking 3 y and 1 a when four letters picked without replacement from yyyyjalya?\n' | b'10/63\n' | deepmind/math_dataset |
b'Simplify ((l**(-3)*l*l*l**(-2/19))/(l**3/(l/(l**4*l))))/(((l**(-4/7)*l)/(l*(l/l**1*l)/l))/(l**(-3)/((l**(-4)*l)/l*l))) assuming l is positive.\n' | b'l**(-1002/133)\n' | b'Simplify ((l**(-3)*l*l*l**(-2/19))/(l**3/(l/(l**4*l))))/(((l**(-4/7)*l)/(l*(l/l**1*l)/l))/(l**(-3)/((l**(-4)*l)/l*l))) assuming l is positive.\n' | b'l**(-1002/133)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gzqzqzzppzggugupuz. What is prob of sequence pgz?\n' | b'1/68\n' | b'Three letters picked without replacement from gzqzqzzppzggugupuz. What is prob of sequence pgz?\n' | b'1/68\n' | deepmind/math_dataset |
b'Let z(h) = -h + 12. Let n be z(9). Let y be 18/8 + n/(-12). Let s(l) = -14*l**y + 12*l**3 - 1 + l - 12*l**2 + 27*l**2. What is s(1)?\n' | b'13\n' | b'Let z(h) = -h + 12. Let n be z(9). Let y be 18/8 + n/(-12). Let s(l) = -14*l**y + 12*l**3 - 1 + l - 12*l**2 + 27*l**2. What is s(1)?\n' | b'13\n' | deepmind/math_dataset |
b'Let z be -4*(-39)/24*2. Suppose -4*c + z = -3. What is the second derivative of n**4 + 2*n - 4*n**c + n**4 wrt n?\n' | b'-24*n**2\n' | b'Let z be -4*(-39)/24*2. Suppose -4*c + z = -3. What is the second derivative of n**4 + 2*n - 4*n**c + n**4 wrt n?\n' | b'-24*n**2\n' | deepmind/math_dataset |
b'Let m(g) = 57 - 798*g + 0 + 794*g. Let s be m(13). Solve -3*z = -s*w + 7, 2*w + 2*z = 3*w - 7 for w.\n' | b'-1\n' | b'Let m(g) = 57 - 798*g + 0 + 794*g. Let s be m(13). Solve -3*z = -s*w + 7, 2*w + 2*z = 3*w - 7 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let s be ((-2)/(-5))/(2/5). Suppose 0 = 2*h - 3 - s. Let j(x) = -3*x + 1. Let y be j(h). Let v(n) = -n - 7. What is v(y)?\n' | b'-2\n' | b'Let s be ((-2)/(-5))/(2/5). Suppose 0 = 2*h - 3 - s. Let j(x) = -3*x + 1. Let y be j(h). Let v(n) = -n - 7. What is v(y)?\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 w when three letters picked without replacement from wzwz?\n' | b'1/2\n' | b'What is prob of picking 1 z and 2 w when three letters picked without replacement from wzwz?\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -3*v - 4*r + 0*r = 7, 2*r + 2 = -2*v. Let c(g) = 2 + 0 - v + 3*g**2 - 2*g**2. Give c(-2).\n' | b'3\n' | b'Suppose -3*v - 4*r + 0*r = 7, 2*r + 2 = -2*v. Let c(g) = 2 + 0 - v + 3*g**2 - 2*g**2. Give c(-2).\n' | b'3\n' | deepmind/math_dataset |
b'Let d = 11 + -45. Let z = -31 - d. Solve -z*i + 4 = -5*r, 0 = 6*i - 2*i - r - 11 for i.\n' | b'3\n' | b'Let d = 11 + -45. Let z = -31 - d. Solve -z*i + 4 = -5*r, 0 = 6*i - 2*i - r - 11 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 2, a: 2, b: 7, f: 8}. What is prob of picking 2 b and 2 a?\n' | b'7/1292\n' | b'Four letters picked without replacement from {v: 2, a: 2, b: 7, f: 8}. What is prob of picking 2 b and 2 a?\n' | b'7/1292\n' | deepmind/math_dataset |
b'Suppose f + 4*a - 3*a = 7, 14 = 4*f - 3*a. Solve -f*x - 25 = 5*v, -3*x - 4 = -v - 5 for x.\n' | b'-1\n' | b'Suppose f + 4*a - 3*a = 7, 14 = 4*f - 3*a. Solve -f*x - 25 = 5*v, -3*x - 4 = -v - 5 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rruri. Give prob of sequence ur.\n' | b'3/20\n' | b'Two letters picked without replacement from rruri. Give prob of sequence ur.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let s(c) = -c**3 + 6*c**2 + c - 4. Let z be s(6). Let r(y) be the second derivative of -y**5/10 + y**4/4 - y**3/3 - 6*y. What is r(z)?\n' | b'-8\n' | b'Let s(c) = -c**3 + 6*c**2 + c - 4. Let z be s(6). Let r(y) be the second derivative of -y**5/10 + y**4/4 - y**3/3 - 6*y. What is r(z)?\n' | b'-8\n' | deepmind/math_dataset |
b'Let c(a) be the second derivative of 5*a**7/42 - 81*a**6/10 - a**5/10 + a**4/12 - a**3/6 + 41*a**2/2 + 1682*a - 1. Find the third derivative of c(o) wrt o.\n' | b'300*o**2 - 5832*o - 12\n' | b'Let c(a) be the second derivative of 5*a**7/42 - 81*a**6/10 - a**5/10 + a**4/12 - a**3/6 + 41*a**2/2 + 1682*a - 1. Find the third derivative of c(o) wrt o.\n' | b'300*o**2 - 5832*o - 12\n' | deepmind/math_dataset |
b'Let t(a) = -a**2 + 2*a + 11. Let s be t(4). What is the second derivative of s - 3 - 11*l - 22*l**2 + 0 wrt l?\n' | b'-44\n' | b'Let t(a) = -a**2 + 2*a + 11. Let s be t(4). What is the second derivative of s - 3 - 11*l - 22*l**2 + 0 wrt l?\n' | b'-44\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 4, d: 3, e: 4, s: 2, m: 3}. Give prob of picking 1 v, 1 m, and 2 e.\n' | b'18/455\n' | b'Four letters picked without replacement from {v: 4, d: 3, e: 4, s: 2, m: 3}. Give prob of picking 1 v, 1 m, and 2 e.\n' | b'18/455\n' | deepmind/math_dataset |
b'Let d = 4 - 9. Let b be -1*(-3)/(3/d). Let a(h) = -h**2 - 7*h - 5. Let i(n) = 1. Let c(g) = a(g) + 2*i(g). What is c(b)?\n' | b'7\n' | b'Let d = 4 - 9. Let b be -1*(-3)/(3/d). Let a(h) = -h**2 - 7*h - 5. Let i(n) = 1. Let c(g) = a(g) + 2*i(g). What is c(b)?\n' | b'7\n' | deepmind/math_dataset |
b'Let k(a) = -4*a - 12. Let t(x) = -5*x**2 - 19*x - 6. Let d be t(0). What is k(d)?\n' | b'12\n' | b'Let k(a) = -4*a - 12. Let t(x) = -5*x**2 - 19*x - 6. Let d be t(0). What is k(d)?\n' | b'12\n' | deepmind/math_dataset |
b'Let w(d) be the first derivative of d**8/420 - d**4/6 - d**3 - 4. Let n(g) be the third derivative of w(g). What is the derivative of n(r) wrt r?\n' | b'16*r**3\n' | b'Let w(d) be the first derivative of d**8/420 - d**4/6 - d**3 - 4. Let n(g) be the third derivative of w(g). What is the derivative of n(r) wrt r?\n' | b'16*r**3\n' | deepmind/math_dataset |
b'Let w(u) = u**3 - 6*u**2 + 4*u - 1. Suppose -35 = -6*t - 5. Give w(t).\n' | b'-6\n' | b'Let w(u) = u**3 - 6*u**2 + 4*u - 1. Suppose -35 = -6*t - 5. Give w(t).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 85*x = -64*x + 125*x + 48. Solve 0*h - 5*h + 26 = 2*o, 0 = -x*o - 3*h + 14 for o.\n' | b'-2\n' | b'Suppose 85*x = -64*x + 125*x + 48. Solve 0*h - 5*h + 26 = 2*o, 0 = -x*o - 3*h + 14 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -4*m + m - 3. Let d be -1*(-2 + (-14 - m)). Suppose 4*l = 2*l + 4*a + 6, 0 = -5*l + a + d. Solve 0 = l*q - 4*j + 32, 4*q - 3*j + 26 = -j for q.\n' | b'-4\n' | b'Suppose 0 = -4*m + m - 3. Let d be -1*(-2 + (-14 - m)). Suppose 4*l = 2*l + 4*a + 6, 0 = -5*l + a + d. Solve 0 = l*q - 4*j + 32, 4*q - 3*j + 26 = -j for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*k = u + 19, -4*k = 5*u + 21 - 52. Let c(d) = -4*d**2 - d + 2 - 4*d**2 + k*d**2. Let i be c(2). Solve a = -i*a + 5*j + 35, j + 5 = 0 for a.\n' | b'2\n' | b'Suppose 2*k = u + 19, -4*k = 5*u + 21 - 52. Let c(d) = -4*d**2 - d + 2 - 4*d**2 + k*d**2. Let i be c(2). Solve a = -i*a + 5*j + 35, j + 5 = 0 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(u) be the first derivative of 5*u**2 - 3/4*u**4 + 0*u**3 + 13 + 0*u. Find the second derivative of z(c) wrt c.\n' | b'-18*c\n' | b'Let z(u) be the first derivative of 5*u**2 - 3/4*u**4 + 0*u**3 + 13 + 0*u. Find the second derivative of z(c) wrt c.\n' | b'-18*c\n' | deepmind/math_dataset |
b'Simplify (r**(-20)*r**(-15)*(r**(3/2)*r)**(4/19))**(-6) assuming r is positive.\n' | b'r**(3930/19)\n' | b'Simplify (r**(-20)*r**(-15)*(r**(3/2)*r)**(4/19))**(-6) assuming r is positive.\n' | b'r**(3930/19)\n' | deepmind/math_dataset |
b'Find the third derivative of -165*q + 248*q + 199*q**4 + 5*q**2 - 5*q**2 - 701*q**4 - q**2 wrt q.\n' | b'-12048*q\n' | b'Find the third derivative of -165*q + 248*q + 199*q**4 + 5*q**2 - 5*q**2 - 701*q**4 - q**2 wrt q.\n' | b'-12048*q\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zlzllll. Give prob of picking 2 z and 2 l.\n' | b'2/7\n' | b'Four letters picked without replacement from zlzllll. Give prob of picking 2 z and 2 l.\n' | b'2/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence pb when two letters picked without replacement from {q: 2, b: 4, k: 1, n: 2, p: 5}.\n' | b'10/91\n' | b'Calculate prob of sequence pb when two letters picked without replacement from {q: 2, b: 4, k: 1, n: 2, p: 5}.\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify ((p**(-2/5))**50)**48 assuming p is positive.\n' | b'p**(-960)\n' | b'Simplify ((p**(-2/5))**50)**48 assuming p is positive.\n' | b'p**(-960)\n' | deepmind/math_dataset |
b'Let h(s) = 4 + 5 - s**2 - 151*s + 4 + 158*s. Calculate h(9).\n' | b'-5\n' | b'Let h(s) = 4 + 5 - s**2 - 151*s + 4 + 158*s. Calculate h(9).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hnfhqfnhnxkfk. Give prob of picking 1 x and 3 f.\n' | b'1/715\n' | b'Four letters picked without replacement from hnfhqfnhnxkfk. Give prob of picking 1 x and 3 f.\n' | b'1/715\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 b when three letters picked without replacement from {b: 10}.\n' | b'1\n' | b'Calculate prob of picking 3 b when three letters picked without replacement from {b: 10}.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, b: 1, p: 1, v: 7, l: 3}. What is prob of sequence vi?\n' | b'7/156\n' | b'Two letters picked without replacement from {i: 1, b: 1, p: 1, v: 7, l: 3}. What is prob of sequence vi?\n' | b'7/156\n' | deepmind/math_dataset |
b'Simplify (n**3/n**(-1/7))/(n*n*(n*n**0)/n*n**(-1/11)/n)*((n*n/((n*n/(n*n**(1/4)/n*n)*n)/n*n)*n*n)**(1/18))**29 assuming n is positive.\n' | b'n**(3609/616)\n' | b'Simplify (n**3/n**(-1/7))/(n*n*(n*n**0)/n*n**(-1/11)/n)*((n*n/((n*n/(n*n**(1/4)/n*n)*n)/n*n)*n*n)**(1/18))**29 assuming n is positive.\n' | b'n**(3609/616)\n' | deepmind/math_dataset |
b'Simplify (s*s**3)/(s/(s*s/s**2))*s*s*s/s**(1/3)*s/(s/s**7*s) assuming s is positive.\n' | b's**(35/3)\n' | b'Simplify (s*s**3)/(s/(s*s/s**2))*s*s*s/s**(1/3)*s/(s/s**7*s) assuming s is positive.\n' | b's**(35/3)\n' | deepmind/math_dataset |
b'What is the first derivative of -20088143 + 2430*n**3 + 147*n**3 + 20086263 wrt n?\n' | b'7731*n**2\n' | b'What is the first derivative of -20088143 + 2430*n**3 + 147*n**3 + 20086263 wrt n?\n' | b'7731*n**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 4, g: 6, j: 3}. What is prob of picking 4 g?\n' | b'3/143\n' | b'Four letters picked without replacement from {b: 4, g: 6, j: 3}. What is prob of picking 4 g?\n' | b'3/143\n' | deepmind/math_dataset |
b'Let d(b) be the third derivative of 0*b - 5/24*b**4 + 0 + 1/60*b**5 - 2/3*b**3 - 4*b**2. Determine d(5).\n' | b'-4\n' | b'Let d(b) be the third derivative of 0*b - 5/24*b**4 + 0 + 1/60*b**5 - 2/3*b**3 - 4*b**2. Determine d(5).\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(v) = -v**2 + v. Let i(c) = 2*c**6 - 10*c**2 + 2*c. Let w(l) = -4*a(l) + 2*i(l). What is the third derivative of w(p) wrt p?\n' | b'480*p**3\n' | b'Let a(v) = -v**2 + v. Let i(c) = 2*c**6 - 10*c**2 + 2*c. Let w(l) = -4*a(l) + 2*i(l). What is the third derivative of w(p) wrt p?\n' | b'480*p**3\n' | deepmind/math_dataset |
b'Simplify (c**(2/3))**(-42)*(c**(-2/23)*c)/((((c*c/c**(-1/2))/c*c)/c)/c*c) assuming c is positive.\n' | b'c**(-1315/46)\n' | b'Simplify (c**(2/3))**(-42)*(c**(-2/23)*c)/((((c*c/c**(-1/2))/c*c)/c)/c*c) assuming c is positive.\n' | b'c**(-1315/46)\n' | deepmind/math_dataset |
b'Let s = 11 - 6. Suppose -16 = 3*p - s*t, p + 2*t - 28 = -3*t. Let w = p - 2. Solve 4*l + 16 = 0, 5*l = 2*v + w - 17 for v.\n' | b'-2\n' | b'Let s = 11 - 6. Suppose -16 = 3*p - s*t, p + 2*t - 28 = -3*t. Let w = p - 2. Solve 4*l + 16 = 0, 5*l = 2*v + w - 17 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(u) be the second derivative of -u**9/336 + u**5/40 - 13*u**3/6 - 2*u. Let p(s) be the second derivative of h(s). Find the second derivative of p(m) wrt m.\n' | b'-180*m**3\n' | b'Let h(u) be the second derivative of -u**9/336 + u**5/40 - 13*u**3/6 - 2*u. Let p(s) be the second derivative of h(s). Find the second derivative of p(m) wrt m.\n' | b'-180*m**3\n' | deepmind/math_dataset |
b'Let o(a) = -2*a + 4. Suppose 3*r - z - 11 = 0, -z - 1 = -r - 0*z. Suppose -4*k - r = -17. Let c be (-22)/(-6) + k/9. Calculate o(c).\n' | b'-4\n' | b'Let o(a) = -2*a + 4. Suppose 3*r - z - 11 = 0, -z - 1 = -r - 0*z. Suppose -4*k - r = -17. Let c be (-22)/(-6) + k/9. Calculate o(c).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from llllllpllzllzllll.\n' | b'1/136\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from llllllpllzllzllll.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let l = -2 + 2. Suppose -17*i + 25920 = 31*i. Let k = -536 + i. Solve -3*h - z = -h - 4, -5*h - k*z + 7 = l for h.\n' | b'3\n' | b'Let l = -2 + 2. Suppose -17*i + 25920 = 31*i. Let k = -536 + i. Solve -3*h - z = -h - 4, -5*h - k*z + 7 = l for h.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 2 k when three letters picked without replacement from kiikj.\n' | b'1/5\n' | b'Calculate prob of picking 1 i and 2 k when three letters picked without replacement from kiikj.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let f = -1 + 2. Let j(b) = 1. Let y(a) = 5 - 4*a - 8 + 2*a. Let c(x) = f*y(x) + 4*j(x). Give c(-2).\n' | b'5\n' | b'Let f = -1 + 2. Let j(b) = 1. Let y(a) = 5 - 4*a - 8 + 2*a. Let c(x) = f*y(x) + 4*j(x). Give c(-2).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mddmdd. What is prob of picking 1 m and 3 d?\n' | b'8/15\n' | b'Four letters picked without replacement from mddmdd. What is prob of picking 1 m and 3 d?\n' | b'8/15\n' | deepmind/math_dataset |
b'Let h be (-1)/2*0/(-1). Let z(u) = 0*u - 1 + h*u - u. Let f(a) = 4*a + 2. Let p(o) = -f(o) - 3*z(o). What is the first derivative of p(t) wrt t?\n' | b'-1\n' | b'Let h be (-1)/2*0/(-1). Let z(u) = 0*u - 1 + h*u - u. Let f(a) = 4*a + 2. Let p(o) = -f(o) - 3*z(o). What is the first derivative of p(t) wrt t?\n' | b'-1\n' | deepmind/math_dataset |
b'Let h(s) = s**2 + 5*s + 5. Let f = -11 + 7. Let x be h(f). Find the second derivative of -x + 1 - t - 2*t**3 wrt t.\n' | b'-12*t\n' | b'Let h(s) = s**2 + 5*s + 5. Let f = -11 + 7. Let x be h(f). Find the second derivative of -x + 1 - t - 2*t**3 wrt t.\n' | b'-12*t\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 4, w: 7}. What is prob of picking 2 d and 1 w?\n' | b'14/55\n' | b'Three letters picked without replacement from {d: 4, w: 7}. What is prob of picking 2 d and 1 w?\n' | b'14/55\n' | deepmind/math_dataset |
b'Let w(z) = z**2 - z. Suppose -34*s + 42 + 60 = 0. Give w(s).\n' | b'6\n' | b'Let w(z) = z**2 - z. Suppose -34*s + 42 + 60 = 0. Give w(s).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (w**(-8)/((w**(2/11)*w)/w))/(w**1*w*w**(-5)) assuming w is positive.\n' | b'w**(-57/11)\n' | b'Simplify (w**(-8)/((w**(2/11)*w)/w))/(w**1*w*w**(-5)) assuming w is positive.\n' | b'w**(-57/11)\n' | deepmind/math_dataset |
b'Let p be (-8 + 19)*27*1. Let w be (-2 + 1)/2 + p/22. Solve 3*i - 9 = -2*x + 10, -i + w = 2*x for i.\n' | b'3\n' | b'Let p be (-8 + 19)*27*1. Let w be (-2 + 1)/2 + p/22. Solve 3*i - 9 = -2*x + 10, -i + w = 2*x for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is the third derivative of -40 - 5*w**3 + 7*w**2 - 573*w**4 + 1781*w**4 - 227*w**4 + 5*w**3 wrt w?\n' | b'23544*w\n' | b'What is the third derivative of -40 - 5*w**3 + 7*w**2 - 573*w**4 + 1781*w**4 - 227*w**4 + 5*w**3 wrt w?\n' | b'23544*w\n' | deepmind/math_dataset |
b'Suppose -21 = -3*f + 30. Let j(m) = -m + 35. Let l be j(f). Suppose 0 = 5*i - l - 22. Solve 4*g + i = -5*k, -3*k - 4 = -2*g + 14 for g.\n' | b'3\n' | b'Suppose -21 = -3*f + 30. Let j(m) = -m + 35. Let l be j(f). Suppose 0 = 5*i - l - 22. Solve 4*g + i = -5*k, -3*k - 4 = -2*g + 14 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3*s - 137 - 37 = 3*x, -2*x = 6. Let m be s/44 + (-1)/(-4). Let p(f) = -8*f + 1. Calculate p(m).\n' | b'9\n' | b'Suppose -3*s - 137 - 37 = 3*x, -2*x = 6. Let m be s/44 + (-1)/(-4). Let p(f) = -8*f + 1. Calculate p(m).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 21*r = -70 + 301. Suppose 4*f = -r*f + 5*f. Solve 3*v - j + 9 = f, 3*v + 29 - 2 = -5*j for v.\n' | b'-4\n' | b'Suppose 21*r = -70 + 301. Suppose 4*f = -r*f + 5*f. Solve 3*v - j + 9 = f, 3*v + 29 - 2 = -5*j for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 v, and 1 y when three letters picked without replacement from yyvuyyyyyvyuy.\n' | b'18/143\n' | b'Calculate prob of picking 1 u, 1 v, and 1 y when three letters picked without replacement from yyvuyyyyyvyuy.\n' | b'18/143\n' | deepmind/math_dataset |
b'What is the second derivative of 20 + u**3 + 41882*u - 41886*u - u**3 - 426*u**5 wrt u?\n' | b'-8520*u**3\n' | b'What is the second derivative of 20 + u**3 + 41882*u - 41886*u - u**3 - 426*u**5 wrt u?\n' | b'-8520*u**3\n' | deepmind/math_dataset |
b'Let u = -35 + 40. Suppose 8 = -x + u*x. Solve 3*q + 2 = 2*m + 3, x*q + m = -11 for q.\n' | b'-3\n' | b'Let u = -35 + 40. Suppose 8 = -x + u*x. Solve 3*q + 2 = 2*m + 3, x*q + m = -11 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 5, e: 2, o: 2, m: 5, s: 2, q: 2}. What is prob of sequence oho?\n' | b'5/2448\n' | b'Three letters picked without replacement from {h: 5, e: 2, o: 2, m: 5, s: 2, q: 2}. What is prob of sequence oho?\n' | b'5/2448\n' | deepmind/math_dataset |
b'Let g = -1245 + 1935. Differentiate -g + 25*o + 422 + 463 - 2*o**2 with respect to o.\n' | b'-4*o + 25\n' | b'Let g = -1245 + 1935. Differentiate -g + 25*o + 422 + 463 - 2*o**2 with respect to o.\n' | b'-4*o + 25\n' | deepmind/math_dataset |
b'Let f(s) be the third derivative of -s**5/30 + s**4/8 - 16*s**2. Let v = -3 + 6. Calculate f(v).\n' | b'-9\n' | b'Let f(s) be the third derivative of -s**5/30 + s**4/8 - 16*s**2. Let v = -3 + 6. Calculate f(v).\n' | b'-9\n' | deepmind/math_dataset |
b'Let t be 6/4*2666/129. Suppose -4*z + 12 = -4*g, -3*g - t = -6*g - 5*z. Solve 2 = g*u + 2*f, -7 = -u - 2*f - 1 for u.\n' | b'-4\n' | b'Let t be 6/4*2666/129. Suppose -4*z + 12 = -4*g, -3*g - t = -6*g - 5*z. Solve 2 = g*u + 2*f, -7 = -u - 2*f - 1 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(v) be the first derivative of -5*v**4/4 + v**2 - v + 1. Determine a(1).\n' | b'-4\n' | b'Let a(v) be the first derivative of -5*v**4/4 + v**2 - v + 1. Determine a(1).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 j when two letters picked without replacement from ijiiiijiijiiijjiiii?\n' | b'70/171\n' | b'What is prob of picking 1 i and 1 j when two letters picked without replacement from ijiiiijiijiiijjiiii?\n' | b'70/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cllppclplpplpcccplll. What is prob of sequence lpp?\n' | b'14/285\n' | b'Three letters picked without replacement from cllppclplpplpcccplll. What is prob of sequence lpp?\n' | b'14/285\n' | deepmind/math_dataset |
b'Let s(x) = -6*x + 9*x - 30*x**2 - 18 + 22 + 56*x**2 - 7*x. What is s(1)?\n' | b'26\n' | b'Let s(x) = -6*x + 9*x - 30*x**2 - 18 + 22 + 56*x**2 - 7*x. What is s(1)?\n' | b'26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxxxmmx. What is prob of sequence xxx?\n' | b'7/15\n' | b'Three letters picked without replacement from xxxxxxxmmx. What is prob of sequence xxx?\n' | b'7/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 3, t: 4, v: 2, s: 4, c: 1}. What is prob of sequence tb?\n' | b'6/91\n' | b'Two letters picked without replacement from {b: 3, t: 4, v: 2, s: 4, c: 1}. What is prob of sequence tb?\n' | b'6/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, k: 1, o: 2, p: 2, c: 1}. What is prob of sequence pt?\n' | b'4/45\n' | b'Two letters picked without replacement from {t: 4, k: 1, o: 2, p: 2, c: 1}. What is prob of sequence pt?\n' | b'4/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 9}. What is prob of picking 4 s?\n' | b'1\n' | b'Four letters picked without replacement from {s: 9}. What is prob of picking 4 s?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*s = 2*w - 0*s - 19, -4*w - 2*s + 2 = 0. Suppose l + 5 = -w*l - 5*n, 5*n = 5*l - 5. Let v(z) = -7 + 3 + 9*z**2 + z - 10*z**2. What is v(l)?\n' | b'-4\n' | b'Suppose 5*s = 2*w - 0*s - 19, -4*w - 2*s + 2 = 0. Suppose l + 5 = -w*l - 5*n, 5*n = 5*l - 5. Let v(z) = -7 + 3 + 9*z**2 + z - 10*z**2. What is v(l)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (w/(w/w**(-4/7))*w*w/(w*w**(6/5)))/(((w*((w*(w/(w*(w*w*w**(-4))/w))/w*w)/w*w)/w*w)/w*w)/(w/(w/w**(-2/7)))) assuming w is positive.\n' | b'w**(-212/35)\n' | b'Simplify (w/(w/w**(-4/7))*w*w/(w*w**(6/5)))/(((w*((w*(w/(w*(w*w*w**(-4))/w))/w*w)/w*w)/w*w)/w*w)/(w/(w/w**(-2/7)))) assuming w is positive.\n' | b'w**(-212/35)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 2, g: 1, o: 2, j: 1, v: 1, y: 1}. Give prob of sequence gyj.\n' | b'1/336\n' | b'Three letters picked without replacement from {t: 2, g: 1, o: 2, j: 1, v: 1, y: 1}. Give prob of sequence gyj.\n' | b'1/336\n' | deepmind/math_dataset |
b'Two letters picked without replacement from otvtvttvtvttvuuvvt. Give prob of picking 1 t and 1 o.\n' | b'8/153\n' | b'Two letters picked without replacement from otvtvttvtvttvuuvvt. Give prob of picking 1 t and 1 o.\n' | b'8/153\n' | deepmind/math_dataset |
b'Simplify (o/((o*o*o/((o**(1/16)*o)/o))/o))/o**10 assuming o is positive.\n' | b'o**(-175/16)\n' | b'Simplify (o/((o*o*o/((o**(1/16)*o)/o))/o))/o**10 assuming o is positive.\n' | b'o**(-175/16)\n' | deepmind/math_dataset |
b'What is prob of sequence aghg when four letters picked without replacement from {a: 5, g: 2, t: 1, h: 1}?\n' | b'5/1512\n' | b'What is prob of sequence aghg when four letters picked without replacement from {a: 5, g: 2, t: 1, h: 1}?\n' | b'5/1512\n' | deepmind/math_dataset |
b'Let d(q) = 82*q**3 + 4*q**2 + 52*q + 6. Let g(y) = -165*y**3 - 9*y**2 - 105*y - 15. Let m(a) = -5*d(a) - 2*g(a). Find the third derivative of m(l) wrt l.\n' | b'-480\n' | b'Let d(q) = 82*q**3 + 4*q**2 + 52*q + 6. Let g(y) = -165*y**3 - 9*y**2 - 105*y - 15. Let m(a) = -5*d(a) - 2*g(a). Find the third derivative of m(l) wrt l.\n' | b'-480\n' | deepmind/math_dataset |
b'Let j(l) = 2*l**2 + 9*l - 11. Let u(g) = g**2 + 4*g - 5. Let c(w) = 2*j(w) - 5*u(w). Let z(f) = 2*f - 5. Let r be z(5). Suppose 4*d = -11 - r. What is c(d)?\n' | b'-5\n' | b'Let j(l) = 2*l**2 + 9*l - 11. Let u(g) = g**2 + 4*g - 5. Let c(w) = 2*j(w) - 5*u(w). Let z(f) = 2*f - 5. Let r be z(5). Suppose 4*d = -11 - r. What is c(d)?\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence arh when three letters picked without replacement from {u: 7, r: 3, i: 1, j: 3, h: 2, a: 1}.\n' | b'1/680\n' | b'Calculate prob of sequence arh when three letters picked without replacement from {u: 7, r: 3, i: 1, j: 3, h: 2, a: 1}.\n' | b'1/680\n' | deepmind/math_dataset |
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