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'What is prob of sequence xf when two letters picked without replacement from {p: 2, x: 9, f: 7}?\n' | b'7/34\n' | b'What is prob of sequence xf when two letters picked without replacement from {p: 2, x: 9, f: 7}?\n' | b'7/34\n' | deepmind/math_dataset |
b'Let t(u) = 6 + u**3 - 6*u**2 + 2*u**2 - 7. Let a(h) = -h**3 + 8*h**2 - 8*h + 10. Let i be a(7). What is t(i)?\n' | b'-10\n' | b'Let t(u) = 6 + u**3 - 6*u**2 + 2*u**2 - 7. Let a(h) = -h**3 + 8*h**2 - 8*h + 10. Let i be a(7). What is t(i)?\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from eooooioioeiioeeooio?\n' | b'2/57\n' | b'What is prob of sequence ee when two letters picked without replacement from eooooioioeiioeeooio?\n' | b'2/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qbqqbqqbvnnv. What is prob of picking 2 n?\n' | b'1/66\n' | b'Two letters picked without replacement from qbqqbqqbvnnv. What is prob of picking 2 n?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let i be (-1 - 0)/((-2)/6). Suppose i*d = -3*d. Let h(j) = j**3 + 5*j**2 - 14*j + 3. Let a be h(-7). Solve 5*p + y + 14 = 0, p = -a*y - d*y for p.\n' | b'-3\n' | b'Let i be (-1 - 0)/((-2)/6). Suppose i*d = -3*d. Let h(j) = j**3 + 5*j**2 - 14*j + 3. Let a be h(-7). Solve 5*p + y + 14 = 0, p = -a*y - d*y for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(k) = 0*k**2 + 9*k**3 - 8*k**3 - k**2. Calculate y(2).\n' | b'4\n' | b'Let y(k) = 0*k**2 + 9*k**3 - 8*k**3 - k**2. Calculate y(2).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (u**13*(u*u/(u*(u/u**(3/4)*u)/u))/u)/(u/u**(-1/3)*u/u**8) assuming u is positive.\n' | b'u**(221/12)\n' | b'Simplify (u**13*(u*u/(u*(u/u**(3/4)*u)/u))/u)/(u/u**(-1/3)*u/u**8) assuming u is positive.\n' | b'u**(221/12)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwvwwwwwwwvww. Give prob of picking 2 v and 1 w.\n' | b'1/26\n' | b'Three letters picked without replacement from wwvwwwwwwwvww. Give prob of picking 2 v and 1 w.\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -24*f - 24 = -28*f. Suppose -2 = f*w - 20. Let j(l) = -l**3 - l**2 + 4*l + 1. Calculate j(w).\n' | b'-23\n' | b'Suppose -24*f - 24 = -28*f. Suppose -2 = f*w - 20. Let j(l) = -l**3 - l**2 + 4*l + 1. Calculate j(w).\n' | b'-23\n' | deepmind/math_dataset |
b'Let d(b) be the first derivative of b**4/4 - 2*b**3 + b**2/2 - 6*b + 6. Let m be d(6). Solve -26 = -5*i + 4*w, i + 0*w - w - 6 = m for i.\n' | b'2\n' | b'Let d(b) be the first derivative of b**4/4 - 2*b**3 + b**2/2 - 6*b + 6. Let m be d(6). Solve -26 = -5*i + 4*w, i + 0*w - w - 6 = m for i.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk?\n' | b'1\n' | b'What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk?\n' | b'1\n' | deepmind/math_dataset |
b'Let y(o) = -o**2 - 4*o. Let z be y(-3). Solve v - 8 = z*r + 3, 2*v + 33 = -5*r for r.\n' | b'-5\n' | b'Let y(o) = -o**2 - 4*o. Let z be y(-3). Solve v - 8 = z*r + 3, 2*v + 33 = -5*r for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(y) = 7 + 2*y - y + 5 + 0*y. Let m be z(-9). What is the second derivative of -3*x + 2*x**3 + 3*x**2 - m*x**2 wrt x?\n' | b'12*x\n' | b'Let z(y) = 7 + 2*y - y + 5 + 0*y. Let m be z(-9). What is the second derivative of -3*x + 2*x**3 + 3*x**2 - m*x**2 wrt x?\n' | b'12*x\n' | deepmind/math_dataset |
b'Simplify p/(p*p**4)*p**(-1/2)*(p/p**(-2/3)*p)**(1/2) assuming p is positive.\n' | b'p**(-19/6)\n' | b'Simplify p/(p*p**4)*p**(-1/2)*(p/p**(-2/3)*p)**(1/2) assuming p is positive.\n' | b'p**(-19/6)\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-1))**36)**37/((l**2)**(-2/9)/((l*l*l**(-1/7))/l**(5/6))) assuming l is positive.\n' | b'l**(185/126)\n' | b'Simplify ((l*l**(-1))**36)**37/((l**2)**(-2/9)/((l*l*l**(-1/7))/l**(5/6))) assuming l is positive.\n' | b'l**(185/126)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, b: 4, t: 4, h: 3}. What is prob of picking 3 b?\n' | b'4/455\n' | b'Three letters picked without replacement from {f: 4, b: 4, t: 4, h: 3}. What is prob of picking 3 b?\n' | b'4/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, x: 3, m: 1, k: 2, g: 5}. Give prob of sequence kx.\n' | b'1/22\n' | b'Two letters picked without replacement from {j: 1, x: 3, m: 1, k: 2, g: 5}. Give prob of sequence kx.\n' | b'1/22\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, r: 1, k: 1, y: 2, u: 1, m: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, r: 1, k: 1, y: 2, u: 1, m: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n be 6/(-14) + (-93)/(-21). Let j be 2 - -4 - (4 - (4 - n)). Solve 2*s = -3*s + 25, j*l - 4*s = -10 for l.\n' | b'5\n' | b'Let n be 6/(-14) + (-93)/(-21). Let j be 2 - -4 - (4 - (4 - n)). Solve 2*s = -3*s + 25, j*l - 4*s = -10 for l.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence jjn when three letters picked without replacement from {j: 10, g: 1, n: 7}?\n' | b'35/272\n' | b'What is prob of sequence jjn when three letters picked without replacement from {j: 10, g: 1, n: 7}?\n' | b'35/272\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwtotewhet. What is prob of picking 1 e, 2 t, and 1 h?\n' | b'1/55\n' | b'Four letters picked without replacement from wwwtotewhet. What is prob of picking 1 e, 2 t, and 1 h?\n' | b'1/55\n' | deepmind/math_dataset |
b'Simplify l**(2/81)/((l*l**(-5/3)/l*l*l*l)/l)*(l*l/l**(-27)*l)**33 assuming l is positive.\n' | b'l**(80165/81)\n' | b'Simplify l**(2/81)/((l*l**(-5/3)/l*l*l*l)/l)*(l*l/l**(-27)*l)**33 assuming l is positive.\n' | b'l**(80165/81)\n' | deepmind/math_dataset |
b'Simplify m*m/(m*(m/(m**(-1/2)/m))/m)*m**(-10)*m*(m/(m**(-1/4)/m*m))/m*m**2/m assuming m is positive.\n' | b'm**(-33/4)\n' | b'Simplify m*m/(m*(m/(m**(-1/2)/m))/m)*m**(-10)*m*(m/(m**(-1/4)/m*m))/m*m**2/m assuming m is positive.\n' | b'm**(-33/4)\n' | deepmind/math_dataset |
b'Simplify ((i*i/(i*i**(-5)))/i**3)**48 assuming i is positive.\n' | b'i**144\n' | b'Simplify ((i*i/(i*i**(-5)))/i**3)**48 assuming i is positive.\n' | b'i**144\n' | deepmind/math_dataset |
b'Let j be -1 + 10 + (-77)/11. Solve -3*t - 15 = m - 7*t, -30 = -j*m - 4*t for m.\n' | b'5\n' | b'Let j be -1 + 10 + (-77)/11. Solve -3*t - 15 = m - 7*t, -30 = -j*m - 4*t for m.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify c**(4/13)/c**(-1/3) assuming c is positive.\n' | b'c**(25/39)\n' | b'Simplify c**(4/13)/c**(-1/3) assuming c is positive.\n' | b'c**(25/39)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fgpginkn. Give prob of picking 2 g.\n' | b'1/28\n' | b'Two letters picked without replacement from fgpginkn. Give prob of picking 2 g.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify o**(-4/7)*o*o**(-10/3) assuming o is positive.\n' | b'o**(-61/21)\n' | b'Simplify o**(-4/7)*o*o**(-10/3) assuming o is positive.\n' | b'o**(-61/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ywhhuujuujuju. What is prob of sequence huu?\n' | b'5/143\n' | b'Three letters picked without replacement from ywhhuujuujuju. What is prob of sequence huu?\n' | b'5/143\n' | deepmind/math_dataset |
b'Simplify ((t*(t*((t/t**12)/t*t)/t)/t)**(-25/3)/(((t**(-7/2)*t)/t)/t*t/(t**6*t)))**0 assuming t is positive.\n' | b'1\n' | b'Simplify ((t*(t*((t/t**12)/t*t)/t)/t)**(-25/3)/(((t**(-7/2)*t)/t)/t*t/(t**6*t)))**0 assuming t is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(o) = 4*o + 5*o**2 - o**2 + 0*o**3 + 0*o**2 - 1 + o**3. Determine f(-3).\n' | b'-4\n' | b'Let f(o) = 4*o + 5*o**2 - o**2 + 0*o**3 + 0*o**2 - 1 + o**3. Determine f(-3).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose x + 2*n = -46, 5*x = 3*x + 3*n - 99. Let h = 51 + x. Find the second derivative of 110*l**3 - 110*l**h - 3*l**5 - 9*l wrt l.\n' | b'-60*l**3\n' | b'Suppose x + 2*n = -46, 5*x = 3*x + 3*n - 99. Let h = 51 + x. Find the second derivative of 110*l**3 - 110*l**h - 3*l**5 - 9*l wrt l.\n' | b'-60*l**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhlehehe. What is prob of picking 1 l and 1 h?\n' | b'1/7\n' | b'Two letters picked without replacement from hhlehehe. What is prob of picking 1 l and 1 h?\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 9, n: 8, y: 2}. Give prob of picking 3 n and 1 y.\n' | b'28/969\n' | b'Four letters picked without replacement from {w: 9, n: 8, y: 2}. Give prob of picking 3 n and 1 y.\n' | b'28/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrzz when four letters picked without replacement from {z: 7, r: 4}.\n' | b'7/110\n' | b'Calculate prob of sequence rrzz when four letters picked without replacement from {z: 7, r: 4}.\n' | b'7/110\n' | deepmind/math_dataset |
b'Let t(i) = -14 - 4*i + 6*i + 5 - 8*i**2 + i**3 - 3. Determine t(8).\n' | b'4\n' | b'Let t(i) = -14 - 4*i + 6*i + 5 - 8*i**2 + i**3 - 3. Determine t(8).\n' | b'4\n' | deepmind/math_dataset |
b'Let u(l) = 6*l + 20. Let d be u(-1). What is the third derivative of 38*z**2 - z**3 - 8*z**2 + 0*z**3 - 20*z**5 - d*z**5 - 2*z + 31*z**2 wrt z?\n' | b'-2040*z**2 - 6\n' | b'Let u(l) = 6*l + 20. Let d be u(-1). What is the third derivative of 38*z**2 - z**3 - 8*z**2 + 0*z**3 - 20*z**5 - d*z**5 - 2*z + 31*z**2 wrt z?\n' | b'-2040*z**2 - 6\n' | deepmind/math_dataset |
b'Let c(w) be the first derivative of -25/2*w**2 + 24*w - 4/3*w**3 + 66. What is the derivative of c(g) wrt g?\n' | b'-8*g - 25\n' | b'Let c(w) be the first derivative of -25/2*w**2 + 24*w - 4/3*w**3 + 66. What is the derivative of c(g) wrt g?\n' | b'-8*g - 25\n' | deepmind/math_dataset |
b'Let b(x) be the third derivative of 3/8*x**4 - 17*x**2 + 0 + 11/30*x**5 + 0*x**3 + 0*x. Find the second derivative of b(s) wrt s.\n' | b'44\n' | b'Let b(x) be the third derivative of 3/8*x**4 - 17*x**2 + 0 + 11/30*x**5 + 0*x**3 + 0*x. Find the second derivative of b(s) wrt s.\n' | b'44\n' | deepmind/math_dataset |
b'Let y = 1669 - 1665. Solve -4*o - 20 = o - 4*w, -2*w - 16 = y*o for o.\n' | b'-4\n' | b'Let y = 1669 - 1665. Solve -4*o - 20 = o - 4*w, -2*w - 16 = y*o for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d = -1 + 5. Suppose 2*o = d*o + 10. Let q(v) be the first derivative of -v**2/2 - 3*v - 1. Calculate q(o).\n' | b'2\n' | b'Let d = -1 + 5. Suppose 2*o = d*o + 10. Let q(v) be the first derivative of -v**2/2 - 3*v - 1. Calculate q(o).\n' | b'2\n' | deepmind/math_dataset |
b'Let s(m) = 7*m**2 - 2*m + 1. Let k be 0/(2 - (-1 - 7)/(-2)). Suppose k = -r - r + 2. Give s(r).\n' | b'6\n' | b'Let s(m) = 7*m**2 - 2*m + 1. Let k be 0/(2 - (-1 - 7)/(-2)). Suppose k = -r - r + 2. Give s(r).\n' | b'6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from idddidiiddidiiddddd. What is prob of picking 4 d?\n' | b'165/1292\n' | b'Four letters picked without replacement from idddidiiddidiiddddd. What is prob of picking 4 d?\n' | b'165/1292\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {g: 4}?\n' | b'1\n' | b'What is prob of picking 2 g when two letters picked without replacement from {g: 4}?\n' | b'1\n' | deepmind/math_dataset |
b'Let k(f) = f**3 - 13*f**2 + 10*f + 14. Let z be k(13). Let v = -141 + z. Solve -5*s - v*b - 7 = 22, -s = -b + 1 for s.\n' | b'-4\n' | b'Let k(f) = f**3 - 13*f**2 + 10*f + 14. Let z be k(13). Let v = -141 + z. Solve -5*s - v*b - 7 = 22, -s = -b + 1 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (z**9/(z*z**(-9)/z))**(-32) assuming z is positive.\n' | b'z**(-576)\n' | b'Simplify (z**9/(z*z**(-9)/z))**(-32) assuming z is positive.\n' | b'z**(-576)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from awwivaaabavwiwa. Give prob of sequence av.\n' | b'2/35\n' | b'Two letters picked without replacement from awwivaaabavwiwa. Give prob of sequence av.\n' | b'2/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 v, 1 t, and 1 b when four letters picked without replacement from gttvbbtctbcvcb?\n' | b'32/1001\n' | b'What is prob of picking 1 g, 1 v, 1 t, and 1 b when four letters picked without replacement from gttvbbtctbcvcb?\n' | b'32/1001\n' | deepmind/math_dataset |
b'Let j(p) = 355*p**3 - p**2 - 5*p + 722. Let s(n) = 178*n**3 - 2*n + 361. Let g(v) = 2*j(v) - 5*s(v). What is the first derivative of g(m) wrt m?\n' | b'-540*m**2 - 4*m\n' | b'Let j(p) = 355*p**3 - p**2 - 5*p + 722. Let s(n) = 178*n**3 - 2*n + 361. Let g(v) = 2*j(v) - 5*s(v). What is the first derivative of g(m) wrt m?\n' | b'-540*m**2 - 4*m\n' | deepmind/math_dataset |
b'Let q(y) be the first derivative of -7/3*y**3 - 25 + y + 1/2*y**2. Calculate q(-1).\n' | b'-7\n' | b'Let q(y) be the first derivative of -7/3*y**3 - 25 + y + 1/2*y**2. Calculate q(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (k**(-10)*k)/k**(-13/4)*k**14/(k*k**10) assuming k is positive.\n' | b'k**(-11/4)\n' | b'Simplify (k**(-10)*k)/k**(-13/4)*k**14/(k*k**10) assuming k is positive.\n' | b'k**(-11/4)\n' | deepmind/math_dataset |
b'Suppose 0 = -292*n + 289*n + 762. Let l = -231 + n. Let a(z) = z**3 - 24*z**2 + 25*z - 46. What is a(l)?\n' | b'0\n' | b'Suppose 0 = -292*n + 289*n + 762. Let l = -231 + n. Let a(z) = z**3 - 24*z**2 + 25*z - 46. What is a(l)?\n' | b'0\n' | deepmind/math_dataset |
b'Let z(v) = 83*v**3 - 11*v**2 + 6*v + 106. Let b(u) = -82*u**3 + 9*u**2 - 5*u - 107. Let m(n) = 6*b(n) + 5*z(n). What is the derivative of m(q) wrt q?\n' | b'-231*q**2 - 2*q\n' | b'Let z(v) = 83*v**3 - 11*v**2 + 6*v + 106. Let b(u) = -82*u**3 + 9*u**2 - 5*u - 107. Let m(n) = 6*b(n) + 5*z(n). What is the derivative of m(q) wrt q?\n' | b'-231*q**2 - 2*q\n' | deepmind/math_dataset |
b'Let d(j) be the third derivative of -j**6/120 - j**5/15 + 7*j**4/24 + 7*j**3/6 + j**2. Suppose -1 = -o + 2*n, 4*o + 3*n + 3 = -26. Give d(o).\n' | b'-3\n' | b'Let d(j) be the third derivative of -j**6/120 - j**5/15 + 7*j**4/24 + 7*j**3/6 + j**2. Suppose -1 = -o + 2*n, 4*o + 3*n + 3 = -26. Give d(o).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((a/(a**(2/7)*a*a))**(7/3))**(-4/33) assuming a is positive.\n' | b'a**(4/11)\n' | b'Simplify ((a/(a**(2/7)*a*a))**(7/3))**(-4/33) assuming a is positive.\n' | b'a**(4/11)\n' | deepmind/math_dataset |
b'Calculate prob of sequence kvkk when four letters picked without replacement from {v: 6, k: 7}.\n' | b'21/286\n' | b'Calculate prob of sequence kvkk when four letters picked without replacement from {v: 6, k: 7}.\n' | b'21/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzzhzhzhzzzhhzzzzh.\n' | b'8/17\n' | b'Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzzhzhzhzzzhhzzzzh.\n' | b'8/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 1, d: 11, c: 2, q: 1, g: 1, w: 2}. What is prob of sequence ywg?\n' | b'1/2448\n' | b'Three letters picked without replacement from {y: 1, d: 11, c: 2, q: 1, g: 1, w: 2}. What is prob of sequence ywg?\n' | b'1/2448\n' | deepmind/math_dataset |
b'Let o(g) = g**2 + 1. Let x(z) = -7*z**2 + 4*z - 9. Let r(d) = -6*o(d) - x(d). Let i be r(3). What is the second derivative of -5*p + i*p**4 - p**4 + 3*p wrt p?\n' | b'-12*p**2\n' | b'Let o(g) = g**2 + 1. Let x(z) = -7*z**2 + 4*z - 9. Let r(d) = -6*o(d) - x(d). Let i be r(3). What is the second derivative of -5*p + i*p**4 - p**4 + 3*p wrt p?\n' | b'-12*p**2\n' | deepmind/math_dataset |
b'Suppose -23*t = -39 - 30. Solve -5*i = -3*i + t*g - 21, 4*g - 26 = -2*i for i.\n' | b'3\n' | b'Suppose -23*t = -39 - 30. Solve -5*i = -3*i + t*g - 21, 4*g - 26 = -2*i for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(c) = c + 1. Let x(q) = -2*q + 6 + 0*q - 4*q**2 - 2 + 3*q. Let a(b) = g(b) - x(b). Differentiate a(u) with respect to u.\n' | b'8*u\n' | b'Let g(c) = c + 1. Let x(q) = -2*q + 6 + 0*q - 4*q**2 - 2 + 3*q. Let a(b) = g(b) - x(b). Differentiate a(u) with respect to u.\n' | b'8*u\n' | deepmind/math_dataset |
b'Suppose 2*n + 0*n - 26 = -4*b, 4*b - 36 = -4*n. What is the second derivative of n*c**4 + 4*c**4 + 6*c - 6*c**4 wrt c?\n' | b'36*c**2\n' | b'Suppose 2*n + 0*n - 26 = -4*b, 4*b - 36 = -4*n. What is the second derivative of n*c**4 + 4*c**4 + 6*c - 6*c**4 wrt c?\n' | b'36*c**2\n' | deepmind/math_dataset |
b'Let i(f) = 2*f**2 - 19*f - 60. Let k be i(12). Suppose -49*g + 51*g - 4 = k. Solve -3*u = -2*n - 21, 0 = -2*n - 2*u + 2 + g for n.\n' | b'-3\n' | b'Let i(f) = 2*f**2 - 19*f - 60. Let k be i(12). Suppose -49*g + 51*g - 4 = k. Solve -3*u = -2*n - 21, 0 = -2*n - 2*u + 2 + g for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 4, g: 7, p: 5}. What is prob of picking 3 x?\n' | b'1/140\n' | b'Three letters picked without replacement from {x: 4, g: 7, p: 5}. What is prob of picking 3 x?\n' | b'1/140\n' | deepmind/math_dataset |
b'Simplify a**(-4/5)*a**(2/13)/a*a*(a/a**(-2))**(2/149) assuming a is positive.\n' | b'a**(-5868/9685)\n' | b'Simplify a**(-4/5)*a**(2/13)/a*a*(a/a**(-2))**(2/149) assuming a is positive.\n' | b'a**(-5868/9685)\n' | deepmind/math_dataset |
b'Let s(t) = -6*t + 3. Let p be (-5)/(-2)*(-6)/5. Let k be (-2)/p + 4/3. Calculate s(k).\n' | b'-9\n' | b'Let s(t) = -6*t + 3. Let p be (-5)/(-2)*(-6)/5. Let k be (-2)/p + 4/3. Calculate s(k).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 0 = 4*n + n - 2*u - 28, 0 = n - 2*u - 4. Let j(w) be the first derivative of 2 - 2*w**3 + w**2 + 1/4*w**4 + w. Calculate j(n).\n' | b'13\n' | b'Suppose 0 = 4*n + n - 2*u - 28, 0 = n - 2*u - 4. Let j(w) be the first derivative of 2 - 2*w**3 + w**2 + 1/4*w**4 + w. Calculate j(n).\n' | b'13\n' | deepmind/math_dataset |
b'Find the third derivative of 59635*i**3 - 195*i**6 - 59635*i**3 + 183*i**2 wrt i.\n' | b'-23400*i**3\n' | b'Find the third derivative of 59635*i**3 - 195*i**6 - 59635*i**3 + 183*i**2 wrt i.\n' | b'-23400*i**3\n' | deepmind/math_dataset |
b'Let u = -8 + 16. Suppose -c = c - u. Find the second derivative of p**4 + 4*p - 4*p - 2*p + 4*p**c wrt p.\n' | b'60*p**2\n' | b'Let u = -8 + 16. Suppose -c = c - u. Find the second derivative of p**4 + 4*p - 4*p - 2*p + 4*p**c wrt p.\n' | b'60*p**2\n' | deepmind/math_dataset |
b'Simplify ((((k**(-2/9)/k)/k)/k*k**(-2)/k)/(k*(k**6*k)/k*k**(2/9)))**(3/17) assuming k is positive.\n' | b'k**(-121/51)\n' | b'Simplify ((((k**(-2/9)/k)/k)/k*k**(-2)/k)/(k*(k**6*k)/k*k**(2/9)))**(3/17) assuming k is positive.\n' | b'k**(-121/51)\n' | deepmind/math_dataset |
b'Let l(k) = 7*k - 2. Suppose -m = 5*y + 10, 3*m - 30 = 4*y + y. Let v be (-1 - (-2)/2)/(5/m). Determine l(v).\n' | b'-2\n' | b'Let l(k) = 7*k - 2. Suppose -m = 5*y + 10, 3*m - 30 = 4*y + y. Let v be (-1 - (-2)/2)/(5/m). Determine l(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify d*d*d/(d**9*d)*d*d*d**(9/5)*(d/(d/d**9))/d**5 assuming d is positive.\n' | b'd**(4/5)\n' | b'Simplify d*d*d/(d**9*d)*d*d*d**(9/5)*(d/(d/d**9))/d**5 assuming d is positive.\n' | b'd**(4/5)\n' | deepmind/math_dataset |
b'Let j(x) = 8*x**2 - 2*x - 2. Let y be j(-2). Let g = -12 + y. Let d be (1 - 3)/(6/(-9)). Solve -5*r = 2*p + g, d*r - 2*p = -3*p - 13 for r.\n' | b'-4\n' | b'Let j(x) = 8*x**2 - 2*x - 2. Let y be j(-2). Let g = -12 + y. Let d be (1 - 3)/(6/(-9)). Solve -5*r = 2*p + g, d*r - 2*p = -3*p - 13 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(f) = -f - 1. Let j(z) = z**2 + 5*z. Let v(g) = j(g) + y(g). Determine v(-6).\n' | b'11\n' | b'Let y(f) = -f - 1. Let j(z) = z**2 + 5*z. Let v(g) = j(g) + y(g). Determine v(-6).\n' | b'11\n' | deepmind/math_dataset |
b'Let b = 137 - 141. Let f be (b - (4 - 16)) + (1 - 0). Suppose 7*h = f*h. Solve -5*w - 2*m = h, 2*m = -2*w + 2 + 4 for w.\n' | b'-2\n' | b'Let b = 137 - 141. Let f be (b - (4 - 16)) + (1 - 0). Suppose 7*h = f*h. Solve -5*w - 2*m = h, 2*m = -2*w + 2 + 4 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -19 = -0*n - 3*n - 2*o, -2*o - 16 = -4*n. Suppose -2*h + n = -1. Find the first derivative of h + 5 + 6*b**2 - 12 wrt b.\n' | b'12*b\n' | b'Suppose -19 = -0*n - 3*n - 2*o, -2*o - 16 = -4*n. Suppose -2*h + n = -1. Find the first derivative of h + 5 + 6*b**2 - 12 wrt b.\n' | b'12*b\n' | deepmind/math_dataset |
b'What is the third derivative of 16*g + 417*g**2 + 324*g**6 - 7354*g**6 - 436*g**2 wrt g?\n' | b'-843600*g**3\n' | b'What is the third derivative of 16*g + 417*g**2 + 324*g**6 - 7354*g**6 - 436*g**2 wrt g?\n' | b'-843600*g**3\n' | deepmind/math_dataset |
b'Let t = 0 - -2. Let q be (-12)/(-4) - (1 - t). Differentiate 0*b**q - b**4 + 2 + b**2 - b**2 wrt b.\n' | b'-4*b**3\n' | b'Let t = 0 - -2. Let q be (-12)/(-4) - (1 - t). Differentiate 0*b**q - b**4 + 2 + b**2 - b**2 wrt b.\n' | b'-4*b**3\n' | deepmind/math_dataset |
b'Let p be 4*((-33)/(-4) - 4). Suppose 20*v + 15 = p*v. Let l(y) = -y**2 - 5*y - 5. Determine l(v).\n' | b'-5\n' | b'Let p be 4*((-33)/(-4) - 4). Suppose 20*v + 15 = p*v. Let l(y) = -y**2 - 5*y - 5. Determine l(v).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 4, o: 2, v: 1, s: 3, k: 2, w: 2}. What is prob of sequence wvk?\n' | b'1/546\n' | b'Three letters picked without replacement from {p: 4, o: 2, v: 1, s: 3, k: 2, w: 2}. What is prob of sequence wvk?\n' | b'1/546\n' | deepmind/math_dataset |
b'Let y = 222 - 115. Suppose -103*m = -y*m + 8. Solve -2*f + 4*c = 8*c + 20, 0 = -m*f - c - 11 for f.\n' | b'-4\n' | b'Let y = 222 - 115. Suppose -103*m = -y*m + 8. Solve -2*f + 4*c = 8*c + 20, 0 = -m*f - c - 11 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = 2*f - z - 27, -2*f + 5867 - 5844 = -5*z. Let l be (18/(-15))/((-4)/10). Suppose -h + 1 = -l. Solve n = h*x + 3, 2*x + 2*n = -0 - f for x.\n' | b'-2\n' | b'Suppose 0 = 2*f - z - 27, -2*f + 5867 - 5844 = -5*z. Let l be (18/(-15))/((-4)/10). Suppose -h + 1 = -l. Solve n = h*x + 3, 2*x + 2*n = -0 - f for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(v) = -4*v**3 - 2*v**2 + v + 2. Let i be y(-1). Let w be (-1 + 2)/(-1) + i + 0. Solve -3*z + 4 = 4*c, w*z + 2*z + 2*c - 12 = 0 for z.\n' | b'4\n' | b'Let y(v) = -4*v**3 - 2*v**2 + v + 2. Let i be y(-1). Let w be (-1 + 2)/(-1) + i + 0. Solve -3*z + 4 = 4*c, w*z + 2*z + 2*c - 12 = 0 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Let c(p) = -7*p + 0*p + 8*p - 5*p**2 + p**3 + 1 - 2*p**2. Give c(7).\n' | b'8\n' | b'Let c(p) = -7*p + 0*p + 8*p - 5*p**2 + p**3 + 1 - 2*p**2. Give c(7).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (w**1)**(32/9)*w**7/w*w*w**(-17) assuming w is positive.\n' | b'w**(-58/9)\n' | b'Simplify (w**1)**(32/9)*w**7/w*w*w**(-17) assuming w is positive.\n' | b'w**(-58/9)\n' | deepmind/math_dataset |
b'What is prob of sequence hho when three letters picked without replacement from {h: 4, o: 10}?\n' | b'5/91\n' | b'What is prob of sequence hho when three letters picked without replacement from {h: 4, o: 10}?\n' | b'5/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 6, m: 13}. Give prob of picking 2 m and 1 r.\n' | b'156/323\n' | b'Three letters picked without replacement from {r: 6, m: 13}. Give prob of picking 2 m and 1 r.\n' | b'156/323\n' | deepmind/math_dataset |
b'Let k be -2 + 6 - (-3 - -5). Let z(l) = -12*l + 242. Let g be z(20). Solve f - g*f = 2*b + k, -2*b + 4 = 4*f for b.\n' | b'-2\n' | b'Let k be -2 + 6 - (-3 - -5). Let z(l) = -12*l + 242. Let g be z(20). Solve f - g*f = 2*b + k, -2*b + 4 = 4*f for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(l) be the second derivative of 2*l**6/5 - 7*l**3/3 + 1683*l**2/2 - 2629*l. What is the derivative of g(k) wrt k?\n' | b'48*k**3 - 14\n' | b'Let g(l) be the second derivative of 2*l**6/5 - 7*l**3/3 + 1683*l**2/2 - 2629*l. What is the derivative of g(k) wrt k?\n' | b'48*k**3 - 14\n' | deepmind/math_dataset |
b'What is prob of picking 3 v when three letters picked without replacement from {c: 5, v: 3}?\n' | b'1/56\n' | b'What is prob of picking 3 v when three letters picked without replacement from {c: 5, v: 3}?\n' | b'1/56\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, n: 1, d: 6, o: 6, c: 1}. What is prob of sequence cdd?\n' | b'1/136\n' | b'Three letters picked without replacement from {q: 3, n: 1, d: 6, o: 6, c: 1}. What is prob of sequence cdd?\n' | b'1/136\n' | deepmind/math_dataset |
b'Simplify r**0/((r/(r/r**(2/13)))/r)*r**(-7)/r**1*((r/(r**(3/8)/r))/r**(-2/13))/(r**(-2/5)*r**(-2/5)) assuming r is positive.\n' | b'r**(-183/40)\n' | b'Simplify r**0/((r/(r/r**(2/13)))/r)*r**(-7)/r**1*((r/(r**(3/8)/r))/r**(-2/13))/(r**(-2/5)*r**(-2/5)) assuming r is positive.\n' | b'r**(-183/40)\n' | deepmind/math_dataset |
b'What is prob of sequence ffvf when four letters picked without replacement from {f: 9, s: 4, v: 3}?\n' | b'9/260\n' | b'What is prob of sequence ffvf when four letters picked without replacement from {f: 9, s: 4, v: 3}?\n' | b'9/260\n' | deepmind/math_dataset |
b'What is prob of sequence ysb when three letters picked without replacement from {s: 5, y: 1, b: 3}?\n' | b'5/168\n' | b'What is prob of sequence ysb when three letters picked without replacement from {s: 5, y: 1, b: 3}?\n' | b'5/168\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, h: 4}. Give prob of picking 1 s and 2 h.\n' | b'18/35\n' | b'Three letters picked without replacement from {s: 3, h: 4}. Give prob of picking 1 s and 2 h.\n' | b'18/35\n' | deepmind/math_dataset |
b'Find the third derivative of -n**2 - 16*n**2 - 17*n**3 + 5*n**2 wrt n.\n' | b'-102\n' | b'Find the third derivative of -n**2 - 16*n**2 - 17*n**3 + 5*n**2 wrt n.\n' | b'-102\n' | deepmind/math_dataset |
b'Suppose 0 = -4*y + 17 + 7. Suppose y*z = 140 - 8. Let q = -20 + z. Solve 4*x - 5*w - 22 = 0, 0 = -3*x + q*w - w + 11 for x.\n' | b'3\n' | b'Suppose 0 = -4*y + 17 + 7. Suppose y*z = 140 - 8. Let q = -20 + z. Solve 4*x - 5*w - 22 = 0, 0 = -3*x + q*w - w + 11 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from huuhuuhuuh. Give prob of sequence uuuu.\n' | b'1/14\n' | b'Four letters picked without replacement from huuhuuhuuh. Give prob of sequence uuuu.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -j + 6*j - 15 = 0. Let u = j - -1. Let x(w) = 6 + w - 2*w + 0*w - 218*w**2 + 219*w**2 - 4*w. Determine x(u).\n' | b'2\n' | b'Suppose -j + 6*j - 15 = 0. Let u = j - -1. Let x(w) = 6 + w - 2*w + 0*w - 218*w**2 + 219*w**2 - 4*w. Determine x(u).\n' | b'2\n' | deepmind/math_dataset |
b'Let n(p) = -17*p**3 - 6*p**2 + 2*p. Let k(m) = m**3 - m**2 + m. Let o(v) = 6*k(v) - n(v). What is the second derivative of o(j) wrt j?\n' | b'138*j\n' | b'Let n(p) = -17*p**3 - 6*p**2 + 2*p. Let k(m) = m**3 - m**2 + m. Let o(v) = 6*k(v) - n(v). What is the second derivative of o(j) wrt j?\n' | b'138*j\n' | deepmind/math_dataset |
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