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 n = -1 + 6. Let b be (13 - (6 + -3)) + 2. Solve 2*z = n*z - 3*i + b, -3*z - 8 = -2*i for z.\n' | b'0\n' | b'Let n = -1 + 6. Let b be (13 - (6 + -3)) + 2. Solve 2*z = n*z - 3*i + b, -3*z - 8 = -2*i for z.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of 0*i**5 - 5*i**5 - 6*i**5 + i**2 - 17*i**2 wrt i?\n' | b'-660*i**2\n' | b'What is the third derivative of 0*i**5 - 5*i**5 - 6*i**5 + i**2 - 17*i**2 wrt i?\n' | b'-660*i**2\n' | deepmind/math_dataset |
b'Let x(s) be the third derivative of 3*s**2 + 0 + 0*s**4 - 1/60*s**6 - 1/2*s**3 + 0*s**5 + 0*s. What is the first derivative of x(m) wrt m?\n' | b'-6*m**2\n' | b'Let x(s) be the third derivative of 3*s**2 + 0 + 0*s**4 - 1/60*s**6 - 1/2*s**3 + 0*s**5 + 0*s. What is the first derivative of x(m) wrt m?\n' | b'-6*m**2\n' | deepmind/math_dataset |
b'Let h(k) = 6*k - 15. Let r(m) = -m + 3. Let j(v) = 2*h(v) + 11*r(v). Let i = -8 - -12. What is j(i)?\n' | b'7\n' | b'Let h(k) = 6*k - 15. Let r(m) = -m + 3. Let j(v) = 2*h(v) + 11*r(v). Let i = -8 - -12. What is j(i)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-20))/(y*y**4*y)*(y*y**(-18)*y)/(y**(3/2)*y))**36 assuming y is positive.\n' | b'y**(-1566)\n' | b'Simplify ((y*y**(-20))/(y*y**4*y)*(y*y**(-18)*y)/(y**(3/2)*y))**36 assuming y is positive.\n' | b'y**(-1566)\n' | deepmind/math_dataset |
b'Let s(t) be the first derivative of -t**3/3 + 2*t**2 + 18*t + 1419. Give s(-3).\n' | b'-3\n' | b'Let s(t) be the first derivative of -t**3/3 + 2*t**2 + 18*t + 1419. Give s(-3).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 5, s: 2, w: 4}. What is prob of sequence ww?\n' | b'6/55\n' | b'Two letters picked without replacement from {l: 5, s: 2, w: 4}. What is prob of sequence ww?\n' | b'6/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rvivkvylyyir. What is prob of sequence ki?\n' | b'1/66\n' | b'Two letters picked without replacement from rvivkvylyyir. What is prob of sequence ki?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let c(b) be the second derivative of b**3/6 - b**2 + 9*b. Determine c(2).\n' | b'0\n' | b'Let c(b) be the second derivative of b**3/6 - b**2 + 9*b. Determine c(2).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 4*z - 23 - 5 = 0. Let v(q) = -7*q - 53. Let w(x) = 3*x + 25. Let h(y) = -6*v(y) - 13*w(y). Give h(z).\n' | b'14\n' | b'Suppose 4*z - 23 - 5 = 0. Let v(q) = -7*q - 53. Let w(x) = 3*x + 25. Let h(y) = -6*v(y) - 13*w(y). Give h(z).\n' | b'14\n' | deepmind/math_dataset |
b'Let c(d) = 80 + 100 - 21*d + 0*d + 106 - 320. What is c(-2)?\n' | b'8\n' | b'Let c(d) = 80 + 100 - 21*d + 0*d + 106 - 320. What is c(-2)?\n' | b'8\n' | deepmind/math_dataset |
b'Let l be (-4)/(-14) + (-164)/(-14). Suppose 5*b - 3 - l = 0. Suppose -11*x + 6*x + 115 = 0. Solve 4*s - b*z = -7, z = -s + 6*z - x for s.\n' | b'2\n' | b'Let l be (-4)/(-14) + (-164)/(-14). Suppose 5*b - 3 - l = 0. Suppose -11*x + 6*x + 115 = 0. Solve 4*s - b*z = -7, z = -s + 6*z - x for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let f(t) be the second derivative of t**4/12 - 19174*t. Let v(s) = -s**3 + s**2 + s + 1. Let q be v(0). Let k be (q + -2)/1 - -4. Give f(k).\n' | b'9\n' | b'Let f(t) be the second derivative of t**4/12 - 19174*t. Let v(s) = -s**3 + s**2 + s + 1. Let q be v(0). Let k be (q + -2)/1 - -4. Give f(k).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -5*l - o = -8 - 8, 3*l = -2*o + 4. Let j(f) = -f**2 + 4*f + 5. What is j(l)?\n' | b'5\n' | b'Suppose -5*l - o = -8 - 8, 3*l = -2*o + 4. Let j(f) = -f**2 + 4*f + 5. What is j(l)?\n' | b'5\n' | deepmind/math_dataset |
b'Let q(v) = -v**2 - 8*v + 8. Suppose 2*x - 3*h + 13 = 0, -10*x + 2*h + 34 = -14*x. Give q(x).\n' | b'8\n' | b'Let q(v) = -v**2 - 8*v + 8. Suppose 2*x - 3*h + 13 = 0, -10*x + 2*h + 34 = -14*x. Give q(x).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of sequence aacc when four letters picked without replacement from {c: 3, a: 17}?\n' | b'4/285\n' | b'What is prob of sequence aacc when four letters picked without replacement from {c: 3, a: 17}?\n' | b'4/285\n' | deepmind/math_dataset |
b'What is prob of sequence gj when two letters picked without replacement from nsnjgssjgs?\n' | b'2/45\n' | b'What is prob of sequence gj when two letters picked without replacement from nsnjgssjgs?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let u be (-148)/(-18) - 2/9. Let j(b) = -8*b - 9. Let d be j(-3). Suppose -3*w - d = -u*w. Solve -w*p = -2*z + 6 + 11, -3*p + 3 = 3*z for z.\n' | b'4\n' | b'Let u be (-148)/(-18) - 2/9. Let j(b) = -8*b - 9. Let d be j(-3). Suppose -3*w - d = -u*w. Solve -w*p = -2*z + 6 + 11, -3*p + 3 = 3*z for z.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(a) be the second derivative of -a**5/20 + a**4/3 - a**3/3 + a**2/2 + 28*a. Determine x(3).\n' | b'4\n' | b'Let x(a) be the second derivative of -a**5/20 + a**4/3 - a**3/3 + a**2/2 + 28*a. Determine x(3).\n' | b'4\n' | deepmind/math_dataset |
b'Let v(i) = 57*i**4 + 4*i**3 - i**2 + 7*i + 17. Let u(t) = -t**4 + t**3 + 2*t - 2. Let k(o) = 4*u(o) - v(o). What is the second derivative of k(b) wrt b?\n' | b'-732*b**2 + 2\n' | b'Let v(i) = 57*i**4 + 4*i**3 - i**2 + 7*i + 17. Let u(t) = -t**4 + t**3 + 2*t - 2. Let k(o) = 4*u(o) - v(o). What is the second derivative of k(b) wrt b?\n' | b'-732*b**2 + 2\n' | deepmind/math_dataset |
b'What is prob of sequence kww when three letters picked without replacement from kkwwk?\n' | b'1/10\n' | b'What is prob of sequence kww when three letters picked without replacement from kkwwk?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f(j) = -34*j + 2. Let d be 67/(-5) - 4/(-10). Let w(q) be the third derivative of 17*q**4/24 - q**3/6 - 3096*q**2. Let a(u) = d*w(u) - 6*f(u). What is a(1)?\n' | b'-16\n' | b'Let f(j) = -34*j + 2. Let d be 67/(-5) - 4/(-10). Let w(q) be the third derivative of 17*q**4/24 - q**3/6 - 3096*q**2. Let a(u) = d*w(u) - 6*f(u). What is a(1)?\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (y**(-4))**(-2/47)*y**(-5)/(y*y**(-10)/y) assuming y is positive.\n' | b'y**(243/47)\n' | b'Simplify (y**(-4))**(-2/47)*y**(-5)/(y*y**(-10)/y) assuming y is positive.\n' | b'y**(243/47)\n' | deepmind/math_dataset |
b'Simplify (((f**(1/4))**(-2/25)*f/f**(-5/3)*f/((f/(f*f**(-3)))/f))**(9/8))**40 assuming f is positive.\n' | b'f**(741/10)\n' | b'Simplify (((f**(1/4))**(-2/25)*f/f**(-5/3)*f/((f/(f*f**(-3)))/f))**(9/8))**40 assuming f is positive.\n' | b'f**(741/10)\n' | deepmind/math_dataset |
b'Let u be (-1)/2 + (-220)/88. Let b(z) = z**2 - 4*z + 1. Give b(u).\n' | b'22\n' | b'Let u be (-1)/2 + (-220)/88. Let b(z) = z**2 - 4*z + 1. Give b(u).\n' | b'22\n' | deepmind/math_dataset |
b'Let m(q) = 14*q**3 + 21*q**2 - 537. Let n(s) = s**3 + 3. Let x(z) = -m(z) + 3*n(z). Differentiate x(c) wrt c.\n' | b'-33*c**2 - 42*c\n' | b'Let m(q) = 14*q**3 + 21*q**2 - 537. Let n(s) = s**3 + 3. Let x(z) = -m(z) + 3*n(z). Differentiate x(c) wrt c.\n' | b'-33*c**2 - 42*c\n' | deepmind/math_dataset |
b'Let i(r) be the third derivative of -r**5/60 + r**4/4 - r**3/3 + 6*r**2. Suppose -b + 3*b - 25 = -5*l, -l = -3*b + 12. Calculate i(b).\n' | b'3\n' | b'Let i(r) be the third derivative of -r**5/60 + r**4/4 - r**3/3 + 6*r**2. Suppose -b + 3*b - 25 = -5*l, -l = -3*b + 12. Calculate i(b).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rsneksl. Give prob of picking 1 l and 1 r.\n' | b'1/21\n' | b'Two letters picked without replacement from rsneksl. Give prob of picking 1 l and 1 r.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 3*u = -u + 3*d + 20, 5*d = 2*u - 24. Solve -2*w - u*w - 3*g = -9, g - 3 = 4*w for w.\n' | b'0\n' | b'Suppose 3*u = -u + 3*d + 20, 5*d = 2*u - 24. Solve -2*w - u*w - 3*g = -9, g - 3 = 4*w for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let p = -8 - -19. Suppose 9 = 4*c - p. Let t(m) = m**3 + 0*m**3 - 1 - 6*m**2 + 6*m - 6. Give t(c).\n' | b'-2\n' | b'Let p = -8 - -19. Suppose 9 = 4*c - p. Let t(m) = m**3 + 0*m**3 - 1 - 6*m**2 + 6*m - 6. Give t(c).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i = 10 + -9. Solve q = -t + i, -9 = -2*q - q for t.\n' | b'-2\n' | b'Let i = 10 + -9. Solve q = -t + i, -9 = -2*q - q for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence nngn when four letters picked without replacement from gnggnnggnnngggngnnng.\n' | b'20/323\n' | b'Calculate prob of sequence nngn when four letters picked without replacement from gnggnnggnnngggngnnng.\n' | b'20/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zvzvzzzvzz. What is prob of sequence zzzv?\n' | b'1/8\n' | b'Four letters picked without replacement from zvzvzzzvzz. What is prob of sequence zzzv?\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify l**(5/9)/(((l**9/l)/l)/l) assuming l is positive.\n' | b'l**(-49/9)\n' | b'Simplify l**(5/9)/(((l**9/l)/l)/l) assuming l is positive.\n' | b'l**(-49/9)\n' | deepmind/math_dataset |
b'Suppose -2*o - o + 9 = 0. Suppose 3*d - 4*c - 20 = 0, -c - 20 = -4*d + 3*c. What is the third derivative of -g**2 - g**3 + g**4 + d*g**4 + g**o wrt g?\n' | b'24*g\n' | b'Suppose -2*o - o + 9 = 0. Suppose 3*d - 4*c - 20 = 0, -c - 20 = -4*d + 3*c. What is the third derivative of -g**2 - g**3 + g**4 + d*g**4 + g**o wrt g?\n' | b'24*g\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kfcki. Give prob of sequence ik.\n' | b'1/10\n' | b'Two letters picked without replacement from kfcki. Give prob of sequence ik.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from {y: 2, u: 1, r: 2, v: 1}.\n' | b'1/15\n' | b'Calculate prob of sequence yy when two letters picked without replacement from {y: 2, u: 1, r: 2, v: 1}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (y**17*y**6)**(-43) assuming y is positive.\n' | b'y**(-989)\n' | b'Simplify (y**17*y**6)**(-43) assuming y is positive.\n' | b'y**(-989)\n' | deepmind/math_dataset |
b'What is prob of sequence nnnn when four letters picked without replacement from {n: 7}?\n' | b'1\n' | b'What is prob of sequence nnnn when four letters picked without replacement from {n: 7}?\n' | b'1\n' | deepmind/math_dataset |
b'Let g(o) be the second derivative of -o**8/840 + o**5/60 + o**3/3 + 4*o. Let m(p) be the second derivative of g(p). What is the second derivative of m(k) wrt k?\n' | b'-24*k**2\n' | b'Let g(o) be the second derivative of -o**8/840 + o**5/60 + o**3/3 + 4*o. Let m(p) be the second derivative of g(p). What is the second derivative of m(k) wrt k?\n' | b'-24*k**2\n' | deepmind/math_dataset |
b'What is prob of sequence lbwp when four letters picked without replacement from lplpwlppllupwwpub?\n' | b'3/1904\n' | b'What is prob of sequence lbwp when four letters picked without replacement from lplpwlppllupwwpub?\n' | b'3/1904\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, g: 1, a: 2, d: 2, j: 6, p: 1}. What is prob of sequence agpj?\n' | b'1/2730\n' | b'Four letters picked without replacement from {u: 3, g: 1, a: 2, d: 2, j: 6, p: 1}. What is prob of sequence agpj?\n' | b'1/2730\n' | deepmind/math_dataset |
b'What is the second derivative of 146*x**2 + 144*x**2 + 137*x**2 - 427*x**2 - 3767*x - 7184*x**4 wrt x?\n' | b'-86208*x**2\n' | b'What is the second derivative of 146*x**2 + 144*x**2 + 137*x**2 - 427*x**2 - 3767*x - 7184*x**4 wrt x?\n' | b'-86208*x**2\n' | deepmind/math_dataset |
b'Let m be 2*6/(-4) + -1. Suppose 5*c + 3*a = -5, 0 = c + 3*c - 3*a + 31. Let d be (-4 - c)/m - -2. Solve 3*z = d*o - 20, 2*z = 2*o + z - 12 for o.\n' | b'4\n' | b'Let m be 2*6/(-4) + -1. Suppose 5*c + 3*a = -5, 0 = c + 3*c - 3*a + 31. Let d be (-4 - c)/m - -2. Solve 3*z = d*o - 20, 2*z = 2*o + z - 12 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 6, u: 2, n: 1, j: 2}. Give prob of sequence jju.\n' | b'2/495\n' | b'Three letters picked without replacement from {f: 6, u: 2, n: 1, j: 2}. Give prob of sequence jju.\n' | b'2/495\n' | deepmind/math_dataset |
b'Let h(b) = -b**2 + 16*b + 39. Let p(w) = 3*w + 45. Let z be p(-9). Determine h(z).\n' | b'3\n' | b'Let h(b) = -b**2 + 16*b + 39. Let p(w) = 3*w + 45. Let z be p(-9). Determine h(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let x(f) = f**3 - f**2 + 2. Suppose -4*b + 5 = b. Let y be (0 - (2 + b)) + 3. Determine x(y).\n' | b'2\n' | b'Let x(f) = f**3 - f**2 + 2. Suppose -4*b + 5 = b. Let y be (0 - (2 + b)) + 3. Determine x(y).\n' | b'2\n' | deepmind/math_dataset |
b'Let p(z) be the second derivative of -291*z**4/4 + 501*z**2 - 211*z + 2. Differentiate p(s) wrt s.\n' | b'-1746*s\n' | b'Let p(z) be the second derivative of -291*z**4/4 + 501*z**2 - 211*z + 2. Differentiate p(s) wrt s.\n' | b'-1746*s\n' | deepmind/math_dataset |
b'Let d = 541 - 541. Let v be (1/2)/((-3)/(-126)). Solve 5*k + 0*m = -3*m - v, 3*k + m + 11 = d for k.\n' | b'-3\n' | b'Let d = 541 - 541. Let v be (1/2)/((-3)/(-126)). Solve 5*k + 0*m = -3*m - v, 3*k + m + 11 = d for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 3 m when four letters picked without replacement from {b: 13, m: 3}.\n' | b'1/140\n' | b'Calculate prob of picking 1 b and 3 m when four letters picked without replacement from {b: 13, m: 3}.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let x = -635 - -841. What is the second derivative of -1245*v + 20*v**4 + x*v**4 + 7 + 1242*v wrt v?\n' | b'2712*v**2\n' | b'Let x = -635 - -841. What is the second derivative of -1245*v + 20*v**4 + x*v**4 + 7 + 1242*v wrt v?\n' | b'2712*v**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 a, and 1 s when three letters picked without replacement from aessssejejehjee.\n' | b'12/455\n' | b'Calculate prob of picking 1 j, 1 a, and 1 s when three letters picked without replacement from aessssejejehjee.\n' | b'12/455\n' | deepmind/math_dataset |
b'Simplify (l**10*l)/l**(-6)*l*l**3/l*l**12 assuming l is positive.\n' | b'l**32\n' | b'Simplify (l**10*l)/l**(-6)*l*l**3/l*l**12 assuming l is positive.\n' | b'l**32\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gxg. What is prob of sequence gx?\n' | b'1/3\n' | b'Two letters picked without replacement from gxg. What is prob of sequence gx?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify u**(-2/13)*u*u/(u**(2/25)*u)*(u*u**(-2/3)*u)/u**19 assuming u is positive.\n' | b'u**(-16478/975)\n' | b'Simplify u**(-2/13)*u*u/(u**(2/25)*u)*(u*u**(-2/3)*u)/u**19 assuming u is positive.\n' | b'u**(-16478/975)\n' | deepmind/math_dataset |
b'Let k = 61 + -57. Let t be -2 + -1 - (2 - 3). Let j = -2 - t. Solve -4*n = -4*p + 12, k*p = -j*p + n for p.\n' | b'-1\n' | b'Let k = 61 + -57. Let t be -2 + -1 - (2 - 3). Let j = -2 - t. Solve -4*n = -4*p + 12, k*p = -j*p + n for p.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 p when two letters picked without replacement from pxpxpspkdddxp?\n' | b'5/26\n' | b'What is prob of picking 1 d and 1 p when two letters picked without replacement from pxpxpspkdddxp?\n' | b'5/26\n' | deepmind/math_dataset |
b'Let x(d) = d + 1. Let i(k) = -5 - 3*k + 8 + 6. Let c(j) = -i(j) - 4*x(j). Let y be c(-13). Solve w - 5*f + 11 = y, -5*w + 5*f - 6 - 9 = 0 for w.\n' | b'-1\n' | b'Let x(d) = d + 1. Let i(k) = -5 - 3*k + 8 + 6. Let c(j) = -i(j) - 4*x(j). Let y be c(-13). Solve w - 5*f + 11 = y, -5*w + 5*f - 6 - 9 = 0 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y = -2475 - -2476. Let x(l) = 5*l**3 + 3*l - 2. Determine x(y).\n' | b'6\n' | b'Let y = -2475 - -2476. Let x(l) = 5*l**3 + 3*l - 2. Determine x(y).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, j: 4, k: 3, t: 2, s: 1}. What is prob of sequence jsf?\n' | b'2/495\n' | b'Three letters picked without replacement from {f: 1, j: 4, k: 3, t: 2, s: 1}. What is prob of sequence jsf?\n' | b'2/495\n' | deepmind/math_dataset |
b'Simplify (q*q**27/q*q*q)/(q**(-44)/q)*(q/q**(8/11))/(q*q*q*q/(q*q**(-43))*q) assuming q is positive.\n' | b'q**(300/11)\n' | b'Simplify (q*q**27/q*q*q)/(q**(-44)/q)*(q/q**(8/11))/(q*q*q*q/(q*q**(-43))*q) assuming q is positive.\n' | b'q**(300/11)\n' | deepmind/math_dataset |
b'What is prob of sequence gue when three letters picked without replacement from {u: 4, e: 2, i: 2, g: 8}?\n' | b'2/105\n' | b'What is prob of sequence gue when three letters picked without replacement from {u: 4, e: 2, i: 2, g: 8}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 q, and 1 i when three letters picked without replacement from {i: 1, m: 1, v: 2, q: 1, z: 2, u: 1}.\n' | b'1/56\n' | b'Calculate prob of picking 1 m, 1 q, and 1 i when three letters picked without replacement from {i: 1, m: 1, v: 2, q: 1, z: 2, u: 1}.\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify ((y/(y/(y*y**1*y)))/(y/((y/(y*(y**14/y)/y))/y*y)))**38 assuming y is positive.\n' | b'y**(-380)\n' | b'Simplify ((y/(y/(y*y**1*y)))/(y/((y/(y*(y**14/y)/y))/y*y)))**38 assuming y is positive.\n' | b'y**(-380)\n' | deepmind/math_dataset |
b'Let n(v) = -16*v - 47. Let j be n(-6). Find the first derivative of 0*p**2 + 114 - j - 55*p**2 wrt p.\n' | b'-110*p\n' | b'Let n(v) = -16*v - 47. Let j be n(-6). Find the first derivative of 0*p**2 + 114 - j - 55*p**2 wrt p.\n' | b'-110*p\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, y: 2, h: 1, e: 2, d: 7, j: 2}. Give prob of sequence ey.\n' | b'2/105\n' | b'Two letters picked without replacement from {n: 1, y: 2, h: 1, e: 2, d: 7, j: 2}. Give prob of sequence ey.\n' | b'2/105\n' | deepmind/math_dataset |
b'Simplify (v**(1/8)/(v**(-6)/v))**46/((v/(v*v/((v*v*v/v**4)/v)*v)*(v*(v**(-5/3)/v*v)/v)/v)/(v**(5/3)/(v/((v*(v/(v**7/v))/v)/v)*v*v))) assuming v is positive.\n' | b'v**(3925/12)\n' | b'Simplify (v**(1/8)/(v**(-6)/v))**46/((v/(v*v/((v*v*v/v**4)/v)*v)*(v*(v**(-5/3)/v*v)/v)/v)/(v**(5/3)/(v/((v*(v/(v**7/v))/v)/v)*v*v))) assuming v is positive.\n' | b'v**(3925/12)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, i: 1, w: 4, k: 1}. Give prob of picking 1 w and 1 i.\n' | b'4/45\n' | b'Two letters picked without replacement from {h: 4, i: 1, w: 4, k: 1}. Give prob of picking 1 w and 1 i.\n' | b'4/45\n' | deepmind/math_dataset |
b'Suppose -3*y - 4*y = -3*y. Let n(m) = -m**3 + m - 9. What is n(y)?\n' | b'-9\n' | b'Suppose -3*y - 4*y = -3*y. Let n(m) = -m**3 + m - 9. What is n(y)?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (d**(2/15)/d)**(2/7)*(d/d**(2/19))**(3/7) assuming d is positive.\n' | b'd**(271/1995)\n' | b'Simplify (d**(2/15)/d)**(2/7)*(d/d**(2/19))**(3/7) assuming d is positive.\n' | b'd**(271/1995)\n' | deepmind/math_dataset |
b'Let p(j) = 134*j**6 + 6*j**5 + j**2 - 70*j - 6. Let q(c) = c**5 - 1. Let b(s) = p(s) - 6*q(s). Find the third derivative of b(t) wrt t.\n' | b'16080*t**3\n' | b'Let p(j) = 134*j**6 + 6*j**5 + j**2 - 70*j - 6. Let q(c) = c**5 - 1. Let b(s) = p(s) - 6*q(s). Find the third derivative of b(t) wrt t.\n' | b'16080*t**3\n' | deepmind/math_dataset |
b'Suppose -2*h + 20 = -0*h + 4*t, 0 = 2*h - 4*t + 12. Let i be 4*h + 360/(-60). Solve 4 = -4*c + i*d - 4, 3*c + 3 = 3*d for c.\n' | b'-3\n' | b'Suppose -2*h + 20 = -0*h + 4*t, 0 = 2*h - 4*t + 12. Let i be 4*h + 360/(-60). Solve 4 = -4*c + i*d - 4, 3*c + 3 = 3*d for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h(a) = -99*a**2 - 6*a + 27. Let b(y) = -85*y**2 - 5*y + 26. Let q(j) = 7*b(j) - 6*h(j). Determine q(0).\n' | b'20\n' | b'Let h(a) = -99*a**2 - 6*a + 27. Let b(y) = -85*y**2 - 5*y + 26. Let q(j) = 7*b(j) - 6*h(j). Determine q(0).\n' | b'20\n' | deepmind/math_dataset |
b'Find the first derivative of -323 + 19143*n**4 - 20772*n**4 + 3803 wrt n.\n' | b'-6516*n**3\n' | b'Find the first derivative of -323 + 19143*n**4 - 20772*n**4 + 3803 wrt n.\n' | b'-6516*n**3\n' | deepmind/math_dataset |
b'Let w be (0 - 1)/(11/(-110)). Suppose 4*u = 3*u - 2, -b = 3*u + 1. Let o = w - b. Solve -2*i - 4 = -v - 3, v = o*i + 4 for v.\n' | b'-1\n' | b'Let w be (0 - 1)/(11/(-110)). Suppose 4*u = 3*u - 2, -b = 3*u + 1. Let o = w - b. Solve -2*i - 4 = -v - 3, v = o*i + 4 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u = 19 - 20. Let t(q) = -q**3 + q**2 + q - 1. Let s(x) = -8*x**3 + 5*x**2 + 5*x + 3. Let y(f) = u*s(f) + 5*t(f). What is the derivative of y(l) wrt l?\n' | b'9*l**2\n' | b'Let u = 19 - 20. Let t(q) = -q**3 + q**2 + q - 1. Let s(x) = -8*x**3 + 5*x**2 + 5*x + 3. Let y(f) = u*s(f) + 5*t(f). What is the derivative of y(l) wrt l?\n' | b'9*l**2\n' | deepmind/math_dataset |
b'Let i(y) = -38*y + 1. Let w be i(-1). Let a = 92 - w. Suppose -29 = -2*z + x, -7*z = -3*z - x - a. Solve -2*n - 28 = 5*t, z = 3*n - 4*n - 2*t for n.\n' | b'-4\n' | b'Let i(y) = -38*y + 1. Let w be i(-1). Let a = 92 - w. Suppose -29 = -2*z + x, -7*z = -3*z - x - a. Solve -2*n - 28 = 5*t, z = 3*n - 4*n - 2*t for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence kid when three letters picked without replacement from {n: 1, d: 1, k: 1, c: 3, p: 2, i: 3}.\n' | b'1/330\n' | b'Calculate prob of sequence kid when three letters picked without replacement from {n: 1, d: 1, k: 1, c: 3, p: 2, i: 3}.\n' | b'1/330\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, i: 9}.\n' | b'5/182\n' | b'Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, i: 9}.\n' | b'5/182\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 z when four letters picked without replacement from {z: 3, j: 3, s: 5, c: 6}.\n' | b'9/476\n' | b'Calculate prob of picking 2 c and 2 z when four letters picked without replacement from {z: 3, j: 3, s: 5, c: 6}.\n' | b'9/476\n' | deepmind/math_dataset |
b'Simplify (n/(n**(-1/3)/n))**14*(n*n/n**(-1))**(4/15)*((n*n**(-2))/n)**(-14)*(n*n/n**(-2/7)*n)/((n**(3/8)/n*n*n)/n) assuming n is positive.\n' | b'n**(54077/840)\n' | b'Simplify (n/(n**(-1/3)/n))**14*(n*n/n**(-1))**(4/15)*((n*n**(-2))/n)**(-14)*(n*n/n**(-2/7)*n)/((n**(3/8)/n*n*n)/n) assuming n is positive.\n' | b'n**(54077/840)\n' | deepmind/math_dataset |
b'Suppose 15*h = 14*h + 2. Solve 3*b - 4 = h*w + 18, w + 9 = b for b.\n' | b'4\n' | b'Suppose 15*h = 14*h + 2. Solve 3*b - 4 = h*w + 18, w + 9 = b for b.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((l/l**(-1/8))/(l*l**6/l))/(l**0)**(-1/10))/(l**0*l**5)**37 assuming l is positive.\n' | b'l**(-1519/8)\n' | b'Simplify (((l/l**(-1/8))/(l*l**6/l))/(l**0)**(-1/10))/(l**0*l**5)**37 assuming l is positive.\n' | b'l**(-1519/8)\n' | deepmind/math_dataset |
b'Let n(m) = m**2 + 5*m + 8. Let d be n(-4). Suppose -a + 1 = 4*z, 3*z - 1 = -a + 1. Solve 10 = 3*l - d*y, 3*l - a - 2 = y for l.\n' | b'2\n' | b'Let n(m) = m**2 + 5*m + 8. Let d be n(-4). Suppose -a + 1 = 4*z, 3*z - 1 = -a + 1. Solve 10 = 3*l - d*y, 3*l - a - 2 = y for l.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(v) be the third derivative of 0*v**3 + 2*v**2 + 0*v - 1/60*v**5 + 0*v**4 + 0 - 1/40*v**6. Let h be ((-2)/(-3))/(2/3). Determine g(h).\n' | b'-4\n' | b'Let g(v) be the third derivative of 0*v**3 + 2*v**2 + 0*v - 1/60*v**5 + 0*v**4 + 0 - 1/40*v**6. Let h be ((-2)/(-3))/(2/3). Determine g(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(a) = -a**2 + 4*a - 8. Let q(o) = -o**3 - 10*o**2 - 24*o - 15. Let d be q(-7). What is b(d)?\n' | b'-20\n' | b'Let b(a) = -a**2 + 4*a - 8. Let q(o) = -o**3 - 10*o**2 - 24*o - 15. Let d be q(-7). What is b(d)?\n' | b'-20\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from nchbnncbzn.\n' | b'2/15\n' | b'Calculate prob of sequence nn when two letters picked without replacement from nchbnncbzn.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let i be 1 + (-1 - (0 - 46)). Suppose -4*m + 3*r + 76 = 0, -2*m - 2*r = 8 - i. Solve -f + m = -4*o, 30 = -4*o + 2*f + 12 for o.\n' | b'-5\n' | b'Let i be 1 + (-1 - (0 - 46)). Suppose -4*m + 3*r + 76 = 0, -2*m - 2*r = 8 - i. Solve -f + m = -4*o, 30 = -4*o + 2*f + 12 for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((d/(d**(2/9)*d))/d**0)**(-13)*((d/(d*d*d/(d**(2/27)*d*d*d)*d)*d)/d**(7/5))**(6/13) assuming d is positive.\n' | b'd**(178/65)\n' | b'Simplify ((d/(d**(2/9)*d))/d**0)**(-13)*((d/(d*d*d/(d**(2/27)*d*d*d)*d)*d)/d**(7/5))**(6/13) assuming d is positive.\n' | b'd**(178/65)\n' | deepmind/math_dataset |
b'Let r(h) be the third derivative of h**7/168 - h**6/18 + h**3/2 - 18*h**2. Let x(p) be the first derivative of r(p). What is the third derivative of x(s) wrt s?\n' | b'30\n' | b'Let r(h) be the third derivative of h**7/168 - h**6/18 + h**3/2 - 18*h**2. Let x(p) be the first derivative of r(p). What is the third derivative of x(s) wrt s?\n' | b'30\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\n' | b'1\n' | b'Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((f/(f*f*f**(-1))*f*f)/(f**(-2/3)*f))**(-17) assuming f is positive.\n' | b'f**(-85/3)\n' | b'Simplify ((f/(f*f*f**(-1))*f*f)/(f**(-2/3)*f))**(-17) assuming f is positive.\n' | b'f**(-85/3)\n' | deepmind/math_dataset |
b'Let s(q) be the third derivative of -q**4/24 - q**3/2 - 3*q**2. Let d be s(-5). Solve m = 4*t + 13 + 4, -4*m - d*t + 14 = 0 for m.\n' | b'5\n' | b'Let s(q) be the third derivative of -q**4/24 - q**3/2 - 3*q**2. Let d be s(-5). Solve m = 4*t + 13 + 4, -4*m - d*t + 14 = 0 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Let v(h) be the third derivative of -h**6/720 + h**5/30 + h**4/24 - 17*h**2. Let y(p) be the second derivative of v(p). What is y(6)?\n' | b'-2\n' | b'Let v(h) be the third derivative of -h**6/720 + h**5/30 + h**4/24 - 17*h**2. Let y(p) be the second derivative of v(p). What is y(6)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(k) be the first derivative of -4083*k**4/2 + 9286*k**3/3 - 5624. What is the third derivative of x(l) wrt l?\n' | b'-48996\n' | b'Let x(k) be the first derivative of -4083*k**4/2 + 9286*k**3/3 - 5624. What is the third derivative of x(l) wrt l?\n' | b'-48996\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 v when three letters picked without replacement from {i: 2, h: 1, f: 2, n: 1, v: 2}?\n' | b'1/28\n' | b'What is prob of picking 2 f and 1 v when three letters picked without replacement from {i: 2, h: 1, f: 2, n: 1, v: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bddvbbvdbbvvvbdvvvbb. Give prob of picking 1 d and 2 b.\n' | b'28/285\n' | b'Three letters picked without replacement from bddvbbvdbbvvvbdvvvbb. Give prob of picking 1 d and 2 b.\n' | b'28/285\n' | deepmind/math_dataset |
b'Suppose 0 = -q + 3*g - 6, 2*g + 3*g - 6 = 3*q. Suppose u = 2*b - 6, 0 = q*b - 3*u - 9 - 3. Solve 2*i = -3*h + 4, -b*h = 3*i + 2 + 2 for i.\n' | b'-4\n' | b'Suppose 0 = -q + 3*g - 6, 2*g + 3*g - 6 = 3*q. Suppose u = 2*b - 6, 0 = q*b - 3*u - 9 - 3. Solve 2*i = -3*h + 4, -b*h = 3*i + 2 + 2 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(f) be the first derivative of -11/3*f**3 - 9 + 0*f**2 + 0*f**4 - 7/5*f**5 + 0*f. Find the third derivative of l(s) wrt s.\n' | b'-168*s\n' | b'Let l(f) be the first derivative of -11/3*f**3 - 9 + 0*f**2 + 0*f**4 - 7/5*f**5 + 0*f. Find the third derivative of l(s) wrt s.\n' | b'-168*s\n' | deepmind/math_dataset |
b'Simplify (u**(-1/19)*u*u**(-1/4)*u)**(26/9) assuming u is positive.\n' | b'u**(559/114)\n' | b'Simplify (u**(-1/19)*u*u**(-1/4)*u)**(26/9) assuming u is positive.\n' | b'u**(559/114)\n' | deepmind/math_dataset |
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