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'Let q(y) be the first derivative of 13 + 0*y**4 + 44*y**3 - 11/2*y**6 + 0*y**2 + 0*y**5 + 0*y. Find the third derivative of q(g) wrt g.\n' | b'-1980*g**2\n' | b'Let q(y) be the first derivative of 13 + 0*y**4 + 44*y**3 - 11/2*y**6 + 0*y**2 + 0*y**5 + 0*y. Find the third derivative of q(g) wrt g.\n' | b'-1980*g**2\n' | deepmind/math_dataset |
b'Simplify (s**8*s*s)**32/(s**23/(s/((s/(s*s**(-31)))/s*s))) assuming s is positive.\n' | b's**267\n' | b'Simplify (s**8*s*s)**32/(s**23/(s/((s/(s*s**(-31)))/s*s))) assuming s is positive.\n' | b's**267\n' | deepmind/math_dataset |
b'Simplify (((q/(q*q**1*q))**35/(((q*q*q/((q**(-1/7)*q*q)/q*q))/q)/((((q**(1/7)/q)/q)/q)/q*q)))**(3/8))**(-4) assuming q is positive.\n' | b'q**(219/2)\n' | b'Simplify (((q/(q*q**1*q))**35/(((q*q*q/((q**(-1/7)*q*q)/q*q))/q)/((((q**(1/7)/q)/q)/q)/q*q)))**(3/8))**(-4) assuming q is positive.\n' | b'q**(219/2)\n' | deepmind/math_dataset |
b'Suppose v + 8 = 4*g - 3*v, -5*g + v = -26. Solve -g - 2 = -2*y - 4*q, -3*y - 4 = 2*q for y.\n' | b'-4\n' | b'Suppose v + 8 = 4*g - 3*v, -5*g + v = -26. Solve -g - 2 = -2*y - 4*q, -3*y - 4 = 2*q for y.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence irr when three letters picked without replacement from {i: 4, b: 4, r: 3, t: 3}?\n' | b'1/91\n' | b'What is prob of sequence irr when three letters picked without replacement from {i: 4, b: 4, r: 3, t: 3}?\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of sequence bje when three letters picked without replacement from {j: 1, p: 1, e: 1, b: 1, i: 1}?\n' | b'1/60\n' | b'What is prob of sequence bje when three letters picked without replacement from {j: 1, p: 1, e: 1, b: 1, i: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Find the third derivative of -2 + 1538*a**2 + 33*a - 1540*a**2 + 90*a**3 + 2 wrt a.\n' | b'540\n' | b'Find the third derivative of -2 + 1538*a**2 + 33*a - 1540*a**2 + 90*a**3 + 2 wrt a.\n' | b'540\n' | deepmind/math_dataset |
b'Simplify ((t/t**1)**(-3/28))**(-12) assuming t is positive.\n' | b'1\n' | b'Simplify ((t/t**1)**(-3/28))**(-12) assuming t is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pwpgnn. Give prob of sequence wnn.\n' | b'1/60\n' | b'Three letters picked without replacement from pwpgnn. Give prob of sequence wnn.\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose -5*q + 2*t + 12 = 0, -6*q + 4*q - 4*t = -24. Solve q*s - 5*v + 14 = 0, 2*s = -s - 5*v + 7 for s.\n' | b'-1\n' | b'Suppose -5*q + 2*t + 12 = 0, -6*q + 4*q - 4*t = -24. Solve q*s - 5*v + 14 = 0, 2*s = -s - 5*v + 7 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 n when two letters picked without replacement from beeeeeeeene.\n' | b'1/55\n' | b'Calculate prob of picking 1 b and 1 n when two letters picked without replacement from beeeeeeeene.\n' | b'1/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cciccic. Give prob of sequence cc.\n' | b'10/21\n' | b'Two letters picked without replacement from cciccic. Give prob of sequence cc.\n' | b'10/21\n' | deepmind/math_dataset |
b'Let y(t) = -12*t**3 + 6*t**2 + 26*t + 10. Let a(i) = -13*i**3 + 5*i**2 + 25*i + 8. Let p(d) = -5*a(d) + 4*y(d). What is the second derivative of p(l) wrt l?\n' | b'102*l - 2\n' | b'Let y(t) = -12*t**3 + 6*t**2 + 26*t + 10. Let a(i) = -13*i**3 + 5*i**2 + 25*i + 8. Let p(d) = -5*a(d) + 4*y(d). What is the second derivative of p(l) wrt l?\n' | b'102*l - 2\n' | deepmind/math_dataset |
b'What is the first derivative of -271*v**4 - 16*v**3 + 6064 + 625 - v + 523*v**4 - 247*v**4 wrt v?\n' | b'20*v**3 - 48*v**2 - 1\n' | b'What is the first derivative of -271*v**4 - 16*v**3 + 6064 + 625 - v + 523*v**4 - 247*v**4 wrt v?\n' | b'20*v**3 - 48*v**2 - 1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from ikiikkkkkkkkkkk.\n' | b'22/35\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from ikiikkkkkkkkkkk.\n' | b'22/35\n' | deepmind/math_dataset |
b'Simplify (a**(1/5)*a**(-6))/(((((a**(1/3)/a*a*a)/a)/a)/a)/a*(a*a**(4/3))/a) assuming a is positive.\n' | b'a**(-67/15)\n' | b'Simplify (a**(1/5)*a**(-6))/(((((a**(1/3)/a*a*a)/a)/a)/a)/a*(a*a**(4/3))/a) assuming a is positive.\n' | b'a**(-67/15)\n' | deepmind/math_dataset |
b'Let c(d) = d**3 - d**2. Let i(v) = -7*v**3 + 9*v**2 + v + 16. Let h(b) = 6*c(b) + i(b). Let s be h(4). Solve 4*p + 4*u = 0, p - s*u = 18 + 7 for p.\n' | b'5\n' | b'Let c(d) = d**3 - d**2. Let i(v) = -7*v**3 + 9*v**2 + v + 16. Let h(b) = 6*c(b) + i(b). Let s be h(4). Solve 4*p + 4*u = 0, p - s*u = 18 + 7 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let v(i) = -6*i**2 + 9*i. Let h(a) be the second derivative of 7*a**4/12 - 5*a**3/3 + a. Let x(s) = -5*h(s) - 6*v(s). Give x(4).\n' | b'0\n' | b'Let v(i) = -6*i**2 + 9*i. Let h(a) be the second derivative of 7*a**4/12 - 5*a**3/3 + a. Let x(s) = -5*h(s) - 6*v(s). Give x(4).\n' | b'0\n' | deepmind/math_dataset |
b'Let t(g) = 2*g**3 - 4*g**2 + 26*g - 4. Let n(m) = m**3 - 3*m**2 + 15*m - 2. Let p(z) = -7*n(z) + 4*t(z). What is p(-5)?\n' | b'3\n' | b'Let t(g) = 2*g**3 - 4*g**2 + 26*g - 4. Let n(m) = m**3 - 3*m**2 + 15*m - 2. Let p(z) = -7*n(z) + 4*t(z). What is p(-5)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*x - 60 = -5*s, 2*x - 9 = -3*s + 26. Solve 0 = o + 2*l - 3, 0*o - 3*l + s = 5*o for o.\n' | b'3\n' | b'Suppose 3*x - 60 = -5*s, 2*x - 9 = -3*s + 26. Solve 0 = o + 2*l - 3, 0*o - 3*l + s = 5*o for o.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify q**(2/5)/q*q**(-9)*(q/(q/(q*q*q**(-1/12)/q*q*q*q*q*q)))/(q*(q*(q/(q/(q/(q**(-2/41)*q))))/q*q*q)/q) assuming q is positive.\n' | b'q**(-14101/2460)\n' | b'Simplify q**(2/5)/q*q**(-9)*(q/(q/(q*q*q**(-1/12)/q*q*q*q*q*q)))/(q*(q*(q/(q/(q/(q**(-2/41)*q))))/q*q*q)/q) assuming q is positive.\n' | b'q**(-14101/2460)\n' | deepmind/math_dataset |
b'Let w = 1029 + -1027. Let z(t) = -t + 4. Give z(w).\n' | b'2\n' | b'Let w = 1029 + -1027. Let z(t) = -t + 4. Give z(w).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (l/l**0*l*l**2)**(-4/39)/((l**(-2/5))**49/(l*((((l/(l*l**2))/l)/l)/l)/l)**(-47)) assuming l is positive.\n' | b'l**(49567/195)\n' | b'Simplify (l/l**0*l*l**2)**(-4/39)/((l**(-2/5))**49/(l*((((l/(l*l**2))/l)/l)/l)/l)**(-47)) assuming l is positive.\n' | b'l**(49567/195)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rraajajattt. What is prob of picking 2 t, 1 j, and 1 a?\n' | b'4/55\n' | b'Four letters picked without replacement from rraajajattt. What is prob of picking 2 t, 1 j, and 1 a?\n' | b'4/55\n' | deepmind/math_dataset |
b'Let f(y) = -5*y - 44. Let d be f(-18). Suppose -3*c - 2*l + 60 = l, l + d = 2*c. Find the second derivative of 51*b**4 - 2*b**3 + c*b + 2*b**3 - 22*b**4 wrt b.\n' | b'348*b**2\n' | b'Let f(y) = -5*y - 44. Let d be f(-18). Suppose -3*c - 2*l + 60 = l, l + d = 2*c. Find the second derivative of 51*b**4 - 2*b**3 + c*b + 2*b**3 - 22*b**4 wrt b.\n' | b'348*b**2\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/9)/v)/v**12)**(-17/2)*(v**(-6/11)*(v/(v*v**1/v))/v)/(v/(v**(-1)/v))**(-8/3) assuming v is positive.\n' | b'v**(23531/198)\n' | b'Simplify ((v**(-2/9)/v)/v**12)**(-17/2)*(v**(-6/11)*(v/(v*v**1/v))/v)/(v/(v**(-1)/v))**(-8/3) assuming v is positive.\n' | b'v**(23531/198)\n' | deepmind/math_dataset |
b'Let s = 2170 + -2168. Let d(t) be the second derivative of 11*t + 0*t**s - 1/2*t**4 + 0 - 13/6*t**3. Find the second derivative of d(c) wrt c.\n' | b'-12\n' | b'Let s = 2170 + -2168. Let d(t) be the second derivative of 11*t + 0*t**s - 1/2*t**4 + 0 - 13/6*t**3. Find the second derivative of d(c) wrt c.\n' | b'-12\n' | deepmind/math_dataset |
b'Let p(z) = -5*z**3 - 2*z**2 + 2*z - 2. Let a(u) = 24*u**3 + 10*u**2 - 8*u + 10. Let s(x) = 3*a(x) + 14*p(x). Give s(-1).\n' | b'-2\n' | b'Let p(z) = -5*z**3 - 2*z**2 + 2*z - 2. Let a(u) = 24*u**3 + 10*u**2 - 8*u + 10. Let s(x) = 3*a(x) + 14*p(x). Give s(-1).\n' | b'-2\n' | deepmind/math_dataset |
b'Let f = 18 - 19. Let z be (-19)/(-2) + f/2. Let w(h) = -h**2 + 8*h + 11. Determine w(z).\n' | b'2\n' | b'Let f = 18 - 19. Let z be (-19)/(-2) + f/2. Let w(h) = -h**2 + 8*h + 11. Determine w(z).\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bdabdnabhbbkhdbbbb.\n' | b'1/17\n' | b'Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bdabdnabhbbkhdbbbb.\n' | b'1/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 5, p: 2, z: 2, h: 8, u: 1}. What is prob of picking 1 v and 2 h?\n' | b'35/204\n' | b'Three letters picked without replacement from {v: 5, p: 2, z: 2, h: 8, u: 1}. What is prob of picking 1 v and 2 h?\n' | b'35/204\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxxxxxxxxxxgqq. What is prob of picking 2 q and 1 g?\n' | b'1/680\n' | b'Three letters picked without replacement from xxxxxxxxxxxxxxgqq. What is prob of picking 2 q and 1 g?\n' | b'1/680\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, g: 4, l: 3}. Give prob of picking 2 l.\n' | b'1/12\n' | b'Two letters picked without replacement from {v: 2, g: 4, l: 3}. Give prob of picking 2 l.\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffhnnfojfo. Give prob of picking 2 n.\n' | b'1/45\n' | b'Two letters picked without replacement from ffhnnfojfo. Give prob of picking 2 n.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let o(t) be the third derivative of -3*t**2 + 17/6*t**3 + 1/3*t**4 + 0 + 0*t. Differentiate o(c) wrt c.\n' | b'8\n' | b'Let o(t) be the third derivative of -3*t**2 + 17/6*t**3 + 1/3*t**4 + 0 + 0*t. Differentiate o(c) wrt c.\n' | b'8\n' | deepmind/math_dataset |
b'Let d be 41/13 + (-60)/52 + 1. Let z(l) = -l + 3. Let v be z(3). Solve v*t + 8 = o - 3*t, d*o - 3 = 2*t for o.\n' | b'-1\n' | b'Let d be 41/13 + (-60)/52 + 1. Let z(l) = -l + 3. Let v be z(3). Solve v*t + 8 = o - 3*t, d*o - 3 = 2*t for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose x = 5*x. Let d = 4 - x. Suppose -42*n + 27 = -33*n. Solve -n*g + 0*g = -4*c + 25, 4 = d*c + 4*g for c.\n' | b'4\n' | b'Suppose x = 5*x. Let d = 4 - x. Suppose -42*n + 27 = -33*n. Solve -n*g + 0*g = -4*c + 25, 4 = d*c + 4*g for c.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooioooi. What is prob of picking 2 i and 2 o?\n' | b'2/7\n' | b'Four letters picked without replacement from ooioooi. What is prob of picking 2 i and 2 o?\n' | b'2/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {s: 1, w: 11}.\n' | b'5/6\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {s: 1, w: 11}.\n' | b'5/6\n' | deepmind/math_dataset |
b'Let x be (0 + (-1 - -1))/(-1). Let n(b) = -3*b - 4. Let i be n(2). Let s be (-324)/(-60) + 4/i. Solve -s*k + 26 = -j - 0*k, x = 4*j + k - 1 for j.\n' | b'-1\n' | b'Let x be (0 + (-1 - -1))/(-1). Let n(b) = -3*b - 4. Let i be n(2). Let s be (-324)/(-60) + 4/i. Solve -s*k + 26 = -j - 0*k, x = 4*j + k - 1 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 3, g: 9, s: 1, t: 6}. Give prob of sequence gttt.\n' | b'15/1292\n' | b'Four letters picked without replacement from {f: 3, g: 9, s: 1, t: 6}. Give prob of sequence gttt.\n' | b'15/1292\n' | deepmind/math_dataset |
b'Let m(z) = 4*z**3 - 246*z**2 + 120*z + 157. Let q be m(61). Solve -5*v = -4*o - 2, 0 = -q*o + 30*o - 2*v + 14 for o.\n' | b'2\n' | b'Let m(z) = 4*z**3 - 246*z**2 + 120*z + 157. Let q be m(61). Solve -5*v = -4*o - 2, 0 = -q*o + 30*o - 2*v + 14 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Let q(r) = -46*r + 48. Let d be q(1). Suppose 0 = u + 2 - 4. Suppose 0 = u*w - 3*w + 12. Solve -j = d*o + 4*j - 13, 4*j - w = -2*o for o.\n' | b'4\n' | b'Let q(r) = -46*r + 48. Let d be q(1). Suppose 0 = u + 2 - 4. Suppose 0 = u*w - 3*w + 12. Solve -j = d*o + 4*j - 13, 4*j - w = -2*o for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(c) = -3*c**3 + 21*c**2 - 32*c + 10. Let s(b) = -2*b**3 + 14*b**2 - 21*b + 7. Let o(r) = -8*s(r) + 5*x(r). What is o(6)?\n' | b'6\n' | b'Let x(c) = -3*c**3 + 21*c**2 - 32*c + 10. Let s(b) = -2*b**3 + 14*b**2 - 21*b + 7. Let o(r) = -8*s(r) + 5*x(r). What is o(6)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence zh when two letters picked without replacement from lzscpch.\n' | b'1/42\n' | b'Calculate prob of sequence zh when two letters picked without replacement from lzscpch.\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 e when four letters picked without replacement from {p: 13, e: 5}.\n' | b'1/612\n' | b'Calculate prob of picking 4 e when four letters picked without replacement from {p: 13, e: 5}.\n' | b'1/612\n' | deepmind/math_dataset |
b'Let r = -284 - -299. Suppose 3*n = r, -4*n + 7 = 3*q - 34. Solve 5*l = -3*m + 5, 4*l + 2*m - 41 = q*m for l.\n' | b'4\n' | b'Let r = -284 - -299. Suppose 3*n = r, -4*n + 7 = 3*q - 34. Solve 5*l = -3*m + 5, 4*l + 2*m - 41 = q*m for l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = 3*i - 5*w + 14, 10*i - 7*i = 2*w - 2. Solve 0*l + i = 2*l, 0 = 3*y + 5*l + 1 for y.\n' | b'-2\n' | b'Suppose 0 = 3*i - 5*w + 14, 10*i - 7*i = 2*w - 2. Solve 0*l + i = 2*l, 0 = 3*y + 5*l + 1 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 a when three letters picked without replacement from {x: 1, z: 1, a: 18}?\n' | b'68/95\n' | b'What is prob of picking 3 a when three letters picked without replacement from {x: 1, z: 1, a: 18}?\n' | b'68/95\n' | deepmind/math_dataset |
b'Calculate prob of sequence lls when three letters picked without replacement from llllllss.\n' | b'5/28\n' | b'Calculate prob of sequence lls when three letters picked without replacement from llllllss.\n' | b'5/28\n' | deepmind/math_dataset |
b'Let f(p) be the second derivative of 33*p**5/10 - p**3/2 + 2265*p**2/2 - 340*p. Differentiate f(v) with respect to v.\n' | b'198*v**2 - 3\n' | b'Let f(p) be the second derivative of 33*p**5/10 - p**3/2 + 2265*p**2/2 - 340*p. Differentiate f(v) with respect to v.\n' | b'198*v**2 - 3\n' | deepmind/math_dataset |
b'Suppose 3*f - 29 - 43 = 0. Let m be ((-1)/2)/((-3)/f). Suppose -6*o = -m*o - 4. Solve o*t - r = 2*r + 11, 5*t - r = 8 for t.\n' | b'1\n' | b'Suppose 3*f - 29 - 43 = 0. Let m be ((-1)/2)/((-3)/f). Suppose -6*o = -m*o - 4. Solve o*t - r = 2*r + 11, 5*t - r = 8 for t.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, k: 1, w: 1, x: 2, n: 1, y: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, k: 1, w: 1, x: 2, n: 1, y: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, v: 6, u: 1, z: 4, p: 1}. Give prob of picking 2 z.\n' | b'2/35\n' | b'Two letters picked without replacement from {n: 3, v: 6, u: 1, z: 4, p: 1}. Give prob of picking 2 z.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let w(y) = -y**3 - y**2 + y - 5. Let r be w(-3). Suppose -23 = -r*p + 17. Solve -h + 0*o + 2*o = 3, -h - p*o + 21 = 0 for h.\n' | b'5\n' | b'Let w(y) = -y**3 - y**2 + y - 5. Let r be w(-3). Suppose -23 = -r*p + 17. Solve -h + 0*o + 2*o = 3, -h - p*o + 21 = 0 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (l*(l*l**1)/l)**47*(l*l*l**5)/l**0 assuming l is positive.\n' | b'l**101\n' | b'Simplify (l*(l*l**1)/l)**47*(l*l*l**5)/l**0 assuming l is positive.\n' | b'l**101\n' | deepmind/math_dataset |
b'Simplify z*z**(-1/13)*z*z**(-2/55)*z*(z**(6/13))**50 assuming z is positive.\n' | b'z**(1428/55)\n' | b'Simplify z*z**(-1/13)*z*z**(-2/55)*z*(z**(6/13))**50 assuming z is positive.\n' | b'z**(1428/55)\n' | deepmind/math_dataset |
b'Simplify ((m**8*m)/(m*m*m*(m/m**0)/m*m))**(-2/27) assuming m is positive.\n' | b'm**(-10/27)\n' | b'Simplify ((m**8*m)/(m*m*m*(m/m**0)/m*m))**(-2/27) assuming m is positive.\n' | b'm**(-10/27)\n' | deepmind/math_dataset |
b'Let h(l) = -3*l**2 + 69*l - 126. Let d be h(21). Solve d = -2*z - u + 2, u = -5*z - 2*u + 5 for z.\n' | b'1\n' | b'Let h(l) = -3*l**2 + 69*l - 126. Let d be h(21). Solve d = -2*z - u + 2, u = -5*z - 2*u + 5 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bnaabhj. What is prob of sequence jbn?\n' | b'1/105\n' | b'Three letters picked without replacement from bnaabhj. What is prob of sequence jbn?\n' | b'1/105\n' | deepmind/math_dataset |
b'Suppose 0 = 24*d - 14*d - 25350. Suppose 2028 = 3*u + u + 3*x, d = 5*u - x. Find the third derivative of -u*k**6 + 254*k**6 + 254*k**6 - 37*k**2 wrt k.\n' | b'120*k**3\n' | b'Suppose 0 = 24*d - 14*d - 25350. Suppose 2028 = 3*u + u + 3*x, d = 5*u - x. Find the third derivative of -u*k**6 + 254*k**6 + 254*k**6 - 37*k**2 wrt k.\n' | b'120*k**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 4, l: 4, b: 4, t: 2}. What is prob of sequence ll?\n' | b'6/91\n' | b'Two letters picked without replacement from {u: 4, l: 4, b: 4, t: 2}. What is prob of sequence ll?\n' | b'6/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 5, c: 5, s: 1, e: 7, j: 1, m: 1}. What is prob of picking 1 m and 2 s?\n' | b'0\n' | b'Three letters picked without replacement from {f: 5, c: 5, s: 1, e: 7, j: 1, m: 1}. What is prob of picking 1 m and 2 s?\n' | b'0\n' | deepmind/math_dataset |
b'Let g(q) be the second derivative of 13/20*q**5 + 0*q**2 - 5*q + 6 + 9/4*q**4 - 1/3*q**3. What is the third derivative of g(v) wrt v?\n' | b'78\n' | b'Let g(q) be the second derivative of 13/20*q**5 + 0*q**2 - 5*q + 6 + 9/4*q**4 - 1/3*q**3. What is the third derivative of g(v) wrt v?\n' | b'78\n' | deepmind/math_dataset |
b'Suppose 23 - 8 = 5*k. Let l be (-15)/(-10)*8/k. Solve 5*f + 33 = -l*s, 32 = -5*f - 3*s + 1 for f.\n' | b'-5\n' | b'Suppose 23 - 8 = 5*k. Let l be (-15)/(-10)*8/k. Solve 5*f + 33 = -l*s, 32 = -5*f - 3*s + 1 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 4 r when four letters picked without replacement from {r: 5}?\n' | b'1\n' | b'What is prob of picking 4 r when four letters picked without replacement from {r: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 8*u + 4*d = 6*u + 14, 0 = -4*u + 3*d + 61. Solve -7 - u = 5*r + v, -5 = -5*r + 4*v for r.\n' | b'-3\n' | b'Suppose 8*u + 4*d = 6*u + 14, 0 = -4*u + 3*d + 61. Solve -7 - u = 5*r + v, -5 = -5*r + 4*v for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u be -3 - (-9)/6*2. Suppose u*x = -3*x + 15. Solve -3*n + 0*n - 5*g = x, -n + 2*g + 2 = 0 for n.\n' | b'0\n' | b'Let u be -3 - (-9)/6*2. Suppose u*x = -3*x + 15. Solve -3*n + 0*n - 5*g = x, -n + 2*g + 2 = 0 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify x**(-1/3)*x**(-4)*(x*x*x**(-1/2))**(-3/7)*(x/(x/x**(-1/2))*x)/x**(-3/2)*x**(-3)/(x**(1/4)/x) assuming x is positive.\n' | b'x**(-439/84)\n' | b'Simplify x**(-1/3)*x**(-4)*(x*x*x**(-1/2))**(-3/7)*(x/(x/x**(-1/2))*x)/x**(-3/2)*x**(-3)/(x**(1/4)/x) assuming x is positive.\n' | b'x**(-439/84)\n' | deepmind/math_dataset |
b'Let u(w) = -387*w**4 + 18*w**3 - 569*w + 6. Let v(m) = 388*m**4 - 15*m**3 + 569*m - 5. Let p(t) = 5*u(t) + 6*v(t). What is the second derivative of p(h) wrt h?\n' | b'4716*h**2\n' | b'Let u(w) = -387*w**4 + 18*w**3 - 569*w + 6. Let v(m) = 388*m**4 - 15*m**3 + 569*m - 5. Let p(t) = 5*u(t) + 6*v(t). What is the second derivative of p(h) wrt h?\n' | b'4716*h**2\n' | deepmind/math_dataset |
b'Suppose -5 = -5*j + 10. Let u(i) = -4*i**2 + 6*i + 59*i**3 + 58*i**3 - 3*i - 166*i**3 + 50*i**3 - 3. Determine u(j).\n' | b'-3\n' | b'Suppose -5 = -5*j + 10. Let u(i) = -4*i**2 + 6*i + 59*i**3 + 58*i**3 - 3*i - 166*i**3 + 50*i**3 - 3. Determine u(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Let o(z) = z**3 - 7*z**2 + 7*z - 5. Let j be o(6). Suppose 0 - 2 = -2*m. Find the first derivative of 2*y**3 - 2 + j - m wrt y.\n' | b'6*y**2\n' | b'Let o(z) = z**3 - 7*z**2 + 7*z - 5. Let j be o(6). Suppose 0 - 2 = -2*m. Find the first derivative of 2*y**3 - 2 + j - m wrt y.\n' | b'6*y**2\n' | deepmind/math_dataset |
b'Simplify ((((z/(z**(-19)/z)*z)/z)/z)/z*z**(-20/9))**(-21) assuming z is positive.\n' | b'z**(-1057/3)\n' | b'Simplify ((((z/(z**(-19)/z)*z)/z)/z)/z*z**(-20/9))**(-21) assuming z is positive.\n' | b'z**(-1057/3)\n' | deepmind/math_dataset |
b'Let l(a) = 4*a - a - 2 - 2*a. Let i = 177 + -149. Suppose -44 = -5*p + b, -4*p - 4*b + i = -3*b. Give l(p).\n' | b'6\n' | b'Let l(a) = 4*a - a - 2 - 2*a. Let i = 177 + -149. Suppose -44 = -5*p + b, -4*p - 4*b + i = -3*b. Give l(p).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 6, k: 13}. What is prob of picking 3 n?\n' | b'20/969\n' | b'Three letters picked without replacement from {n: 6, k: 13}. What is prob of picking 3 n?\n' | b'20/969\n' | deepmind/math_dataset |
b'Simplify (((a/(a/(a*a/(a/(a/a**22)))))/a)/((a*a*a/(a**1/a)*a)/a))**(-12) assuming a is positive.\n' | b'a**288\n' | b'Simplify (((a/(a/(a*a/(a/(a/a**22)))))/a)/((a*a*a/(a**1/a)*a)/a))**(-12) assuming a is positive.\n' | b'a**288\n' | deepmind/math_dataset |
b'Simplify (((y**(-6)/y)/y)/y**(-4/5))/(y*y*y/(y*(y*(y**(-1)*y)/y)/y*y)*y*y*(y*((y**(-2)*y*y)/y)/y*y)/y) assuming y is positive.\n' | b'y**(-51/5)\n' | b'Simplify (((y**(-6)/y)/y)/y**(-4/5))/(y*y*y/(y*(y*(y**(-1)*y)/y)/y*y)*y*y*(y*((y**(-2)*y*y)/y)/y*y)/y) assuming y is positive.\n' | b'y**(-51/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vyvyvyvvvyyvyvvy. What is prob of picking 2 y?\n' | b'7/40\n' | b'Two letters picked without replacement from vyvyvyvvvyyvyvvy. What is prob of picking 2 y?\n' | b'7/40\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ttuututttutttu. Give prob of sequence utut.\n' | b'60/1001\n' | b'Four letters picked without replacement from ttuututttutttu. Give prob of sequence utut.\n' | b'60/1001\n' | deepmind/math_dataset |
b'Let r(a) be the third derivative of -7*a**8/48 + a**6/120 - 8*a**5/5 - 45*a**2. What is the third derivative of r(k) wrt k?\n' | b'-2940*k**2 + 6\n' | b'Let r(a) be the third derivative of -7*a**8/48 + a**6/120 - 8*a**5/5 - 45*a**2. What is the third derivative of r(k) wrt k?\n' | b'-2940*k**2 + 6\n' | deepmind/math_dataset |
b'What is prob of picking 2 w, 1 h, and 1 e when four letters picked without replacement from {j: 2, h: 5, z: 1, w: 1, e: 7}?\n' | b'0\n' | b'What is prob of picking 2 w, 1 h, and 1 e when four letters picked without replacement from {j: 2, h: 5, z: 1, w: 1, e: 7}?\n' | b'0\n' | deepmind/math_dataset |
b'Let c(h) = h**3 - h**2 + 2*h - 1. Let t(g) = g - 8. Suppose 4*r - f = 38, 40 = 2*r + r + 5*f. Let p be t(r). Suppose 0 = -s + 4, -s + 2*s = p*w. Give c(w).\n' | b'7\n' | b'Let c(h) = h**3 - h**2 + 2*h - 1. Let t(g) = g - 8. Suppose 4*r - f = 38, 40 = 2*r + r + 5*f. Let p be t(r). Suppose 0 = -s + 4, -s + 2*s = p*w. Give c(w).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (j*j**(-2/3))**(-12)*j**2*j*j**(2/9)*j**(-4)/(j**(1/4)*j*j)*(j**4/j)/(j*j*(j**(3/5)/j*j)/j) assuming j is positive.\n' | b'j**(-1013/180)\n' | b'Simplify (j*j**(-2/3))**(-12)*j**2*j*j**(2/9)*j**(-4)/(j**(1/4)*j*j)*(j**4/j)/(j*j*(j**(3/5)/j*j)/j) assuming j is positive.\n' | b'j**(-1013/180)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b, 1 z, and 1 l when four letters picked without replacement from {b: 11, z: 7, l: 1}.\n' | b'385/3876\n' | b'Calculate prob of picking 2 b, 1 z, and 1 l when four letters picked without replacement from {b: 11, z: 7, l: 1}.\n' | b'385/3876\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from phhppp.\n' | b'1/15\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from phhppp.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let o(c) be the third derivative of 1/24*c**4 + 0*c - 2*c**2 - 7/6*c**3 + 0. Determine o(6).\n' | b'-1\n' | b'Let o(c) be the third derivative of 1/24*c**4 + 0*c - 2*c**2 - 7/6*c**3 + 0. Determine o(6).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 6, m: 4, p: 1, g: 1, d: 1}. Give prob of picking 2 m and 2 u.\n' | b'18/143\n' | b'Four letters picked without replacement from {u: 6, m: 4, p: 1, g: 1, d: 1}. Give prob of picking 2 m and 2 u.\n' | b'18/143\n' | deepmind/math_dataset |
b'Let r = -1 - 0. Let m(v) be the third derivative of 3*v**6/40 + v**5/60 - v**3/6 - 2*v**2. Give m(r).\n' | b'-9\n' | b'Let r = -1 - 0. Let m(v) be the third derivative of 3*v**6/40 + v**5/60 - v**3/6 - 2*v**2. Give m(r).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 10, d: 2, e: 4}. What is prob of sequence dkek?\n' | b'3/182\n' | b'Four letters picked without replacement from {k: 10, d: 2, e: 4}. What is prob of sequence dkek?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify ((h**(-7/3)*h)/h*h**6)/(h*h**(-4)*(h*h**9)/h*h*h) assuming h is positive.\n' | b'h**(-13/3)\n' | b'Simplify ((h**(-7/3)*h)/h*h**6)/(h*h**(-4)*(h*h**9)/h*h*h) assuming h is positive.\n' | b'h**(-13/3)\n' | deepmind/math_dataset |
b'Let g(t) = -t**2 - t + 12. Let n be g(0). Let l = n + -6. Let s be l/(3/(-2) - -3). Let d(z) = z**2 - 3*z + 2. What is d(s)?\n' | b'6\n' | b'Let g(t) = -t**2 - t + 12. Let n be g(0). Let l = n + -6. Let s be l/(3/(-2) - -3). Let d(z) = z**2 - 3*z + 2. What is d(s)?\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cmcqqcmccccc. Give prob of picking 2 m and 1 q.\n' | b'1/110\n' | b'Three letters picked without replacement from cmcqqcmccccc. Give prob of picking 2 m and 1 q.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g and 1 r when three letters picked without replacement from grggvrg.\n' | b'12/35\n' | b'Calculate prob of picking 2 g and 1 r when three letters picked without replacement from grggvrg.\n' | b'12/35\n' | deepmind/math_dataset |
b'Let n = 1901 - 1897. Solve 3*a + 4 = -2*v, 5*a - 3*v + 16 = -n*v for a.\n' | b'-4\n' | b'Let n = 1901 - 1897. Solve 3*a + 4 = -2*v, 5*a - 3*v + 16 = -n*v for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from opaooaoaoj. Give prob of sequence oao.\n' | b'1/12\n' | b'Three letters picked without replacement from opaooaoaoj. Give prob of sequence oao.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify ((d/(d**1*d))**35)**(-25/4) assuming d is positive.\n' | b'd**(875/4)\n' | b'Simplify ((d/(d**1*d))**35)**(-25/4) assuming d is positive.\n' | b'd**(875/4)\n' | deepmind/math_dataset |
b'Suppose 1 = -2*c + 7. Suppose -2*j + 4 = -c*j. Let n(d) = 0 - 3 - 3 - 6*d - d**2. Calculate n(j).\n' | b'2\n' | b'Suppose 1 = -2*c + 7. Suppose -2*j + 4 = -c*j. Let n(d) = 0 - 3 - 3 - 6*d - d**2. Calculate n(j).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 4, s: 1, j: 1, e: 2}. What is prob of sequence eer?\n' | b'1/42\n' | b'Three letters picked without replacement from {r: 4, s: 1, j: 1, e: 2}. What is prob of sequence eer?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 1, e: 1, m: 1, r: 1, u: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 1, e: 1, m: 1, r: 1, u: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 0 = g + 3*t - t - 10, -g - 2 = -t. Let c(x) = 1 + x**2 - x**g - 3*x**2 + x**3. Let u(i) = i**3 - 9*i**2 + 23*i - 12. Let v be u(5). Calculate c(v).\n' | b'1\n' | b'Suppose 0 = g + 3*t - t - 10, -g - 2 = -t. Let c(x) = 1 + x**2 - x**g - 3*x**2 + x**3. Let u(i) = i**3 - 9*i**2 + 23*i - 12. Let v be u(5). Calculate c(v).\n' | b'1\n' | deepmind/math_dataset |
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