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 dd when two letters picked without replacement from {d: 8, o: 3}?\n' | b'28/55\n' | b'What is prob of sequence dd when two letters picked without replacement from {d: 8, o: 3}?\n' | b'28/55\n' | deepmind/math_dataset |
b'Suppose -4*w - 10 + 30 = 0. Suppose -5*o - 3 = -18. Solve 4*k + 4*j = -4 - 4, w*j = o*k - 34 for k.\n' | b'3\n' | b'Suppose -4*w - 10 + 30 = 0. Suppose -5*o - 3 = -18. Solve 4*k + 4*j = -4 - 4, w*j = o*k - 34 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let b(d) be the first derivative of -14*d**5/5 + d**2 + 5. Find the second derivative of b(o) wrt o.\n' | b'-168*o**2\n' | b'Let b(d) be the first derivative of -14*d**5/5 + d**2 + 5. Find the second derivative of b(o) wrt o.\n' | b'-168*o**2\n' | deepmind/math_dataset |
b'Let x be 7 + -2*(-6)/(-4). Suppose -5*l + 4*l + x = 0. Find the third derivative of -2*q**2 + 0*q**l - q**4 - 2*q**2 wrt q.\n' | b'-24*q\n' | b'Let x be 7 + -2*(-6)/(-4). Suppose -5*l + 4*l + x = 0. Find the third derivative of -2*q**2 + 0*q**l - q**4 - 2*q**2 wrt q.\n' | b'-24*q\n' | deepmind/math_dataset |
b'Let a(c) be the second derivative of -3*c + 0 + 8/3*c**3 + 41/2*c**2. What is the derivative of a(z) wrt z?\n' | b'16\n' | b'Let a(c) be the second derivative of -3*c + 0 + 8/3*c**3 + 41/2*c**2. What is the derivative of a(z) wrt z?\n' | b'16\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 f, and 1 s when three letters picked without replacement from {f: 5, e: 4, c: 1, s: 10}?\n' | b'5/114\n' | b'What is prob of picking 1 c, 1 f, and 1 s when three letters picked without replacement from {f: 5, e: 4, c: 1, s: 10}?\n' | b'5/114\n' | deepmind/math_dataset |
b'Let j(c) = c**3 + 28*c**2 + 60*c + 216. Let p be j(-26). Solve 0 = -5*f + l + 18, 18 = 5*f + 3*l - p for f.\n' | b'4\n' | b'Let j(c) = c**3 + 28*c**2 + 60*c + 216. Let p be j(-26). Solve 0 = -5*f + l + 18, 18 = 5*f + 3*l - p for f.\n' | b'4\n' | deepmind/math_dataset |
b'Let d(o) = 2*o**2 - 5*o - 1. Let j be d(3). Find the third derivative of 13*h**5 + 3*h**3 - 3*h**3 + h**2 + 5*h**j wrt h.\n' | b'780*h**2\n' | b'Let d(o) = 2*o**2 - 5*o - 1. Let j be d(3). Find the third derivative of 13*h**5 + 3*h**3 - 3*h**3 + h**2 + 5*h**j wrt h.\n' | b'780*h**2\n' | deepmind/math_dataset |
b'What is prob of sequence db when two letters picked without replacement from {b: 1, d: 1, n: 1}?\n' | b'1/6\n' | b'What is prob of sequence db when two letters picked without replacement from {b: 1, d: 1, n: 1}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let v = -30 + 30. Let m be 10/6*126/35. Let t(p) = 5*p + m - 6*p + p**2 + p - p. What is t(v)?\n' | b'6\n' | b'Let v = -30 + 30. Let m be 10/6*126/35. Let t(p) = 5*p + m - 6*p + p**2 + p - p. What is t(v)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from {t: 3, j: 2, b: 1, k: 2, y: 4}.\n' | b'1/11\n' | b'Calculate prob of sequence yy when two letters picked without replacement from {t: 3, j: 2, b: 1, k: 2, y: 4}.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let r(a) be the second derivative of 371*a**6/5 - a**5/20 + a**4/12 + 89*a**3/3 - a**2/2 - 16*a + 3. Find the third derivative of r(h) wrt h.\n' | b'53424*h - 6\n' | b'Let r(a) be the second derivative of 371*a**6/5 - a**5/20 + a**4/12 + 89*a**3/3 - a**2/2 - 16*a + 3. Find the third derivative of r(h) wrt h.\n' | b'53424*h - 6\n' | deepmind/math_dataset |
b'Calculate prob of sequence jyy when three letters picked without replacement from {y: 5, s: 5, b: 3, h: 1, j: 4}.\n' | b'5/306\n' | b'Calculate prob of sequence jyy when three letters picked without replacement from {y: 5, s: 5, b: 3, h: 1, j: 4}.\n' | b'5/306\n' | deepmind/math_dataset |
b'Simplify (u*u*u**2*u*(u/(u**(2/41)*u*u))/u)/(u**(-1/5)*u**(11/2)) assuming u is positive.\n' | b'u**(-963/410)\n' | b'Simplify (u*u*u**2*u*(u/(u**(2/41)*u*u))/u)/(u**(-1/5)*u**(11/2)) assuming u is positive.\n' | b'u**(-963/410)\n' | deepmind/math_dataset |
b'What is prob of sequence ffa when three letters picked without replacement from {z: 1, f: 3, a: 3}?\n' | b'3/35\n' | b'What is prob of sequence ffa when three letters picked without replacement from {z: 1, f: 3, a: 3}?\n' | b'3/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from {r: 3, u: 4, f: 1, d: 2, i: 4}.\n' | b'1/91\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from {r: 3, u: 4, f: 1, d: 2, i: 4}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let s be 3 - (0 - 3 - -26). Let z be (-3)/(-1 + (-5)/s). Find the third derivative of -2*c**4 - 19*c**z + 3*c**4 + 25*c**2 - 8*c**4 wrt c.\n' | b'-624*c\n' | b'Let s be 3 - (0 - 3 - -26). Let z be (-3)/(-1 + (-5)/s). Find the third derivative of -2*c**4 - 19*c**z + 3*c**4 + 25*c**2 - 8*c**4 wrt c.\n' | b'-624*c\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oxjojxjjjjjjxjj. Give prob of picking 1 j, 1 o, and 2 x.\n' | b'4/91\n' | b'Four letters picked without replacement from oxjojxjjjjjjxjj. Give prob of picking 1 j, 1 o, and 2 x.\n' | b'4/91\n' | deepmind/math_dataset |
b'Differentiate q**2 + 12885 - q**2 - 12276 - 138*q**3 - 166*q**3 with respect to q.\n' | b'-912*q**2\n' | b'Differentiate q**2 + 12885 - q**2 - 12276 - 138*q**3 - 166*q**3 with respect to q.\n' | b'-912*q**2\n' | deepmind/math_dataset |
b'Let t(f) be the second derivative of -3*f**5/20 - 3*f**3/2 + 7*f. What is the second derivative of t(b) wrt b?\n' | b'-18*b\n' | b'Let t(f) be the second derivative of -3*f**5/20 - 3*f**3/2 + 7*f. What is the second derivative of t(b) wrt b?\n' | b'-18*b\n' | deepmind/math_dataset |
b'Let t(l) = l**3 + 8*l**2 + 12*l + 9. Suppose 27 = -3*s + 9. Let w be t(s). Find the first derivative of -6*x + 2 - w + 3*x wrt x.\n' | b'-3\n' | b'Let t(l) = l**3 + 8*l**2 + 12*l + 9. Suppose 27 = -3*s + 9. Let w be t(s). Find the first derivative of -6*x + 2 - w + 3*x wrt x.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((v**(-17)/v)/(v/v**(10/9)))/(v**(-33)*v)**41 assuming v is positive.\n' | b'v**(11647/9)\n' | b'Simplify ((v**(-17)/v)/(v/v**(10/9)))/(v**(-33)*v)**41 assuming v is positive.\n' | b'v**(11647/9)\n' | deepmind/math_dataset |
b'Simplify (a**(-1/2))**(-29)*a*a**(-2/3)*a*a**(-2/3)/a*a assuming a is positive.\n' | b'a**(91/6)\n' | b'Simplify (a**(-1/2))**(-29)*a*a**(-2/3)*a*a**(-2/3)/a*a assuming a is positive.\n' | b'a**(91/6)\n' | deepmind/math_dataset |
b'Simplify ((f**2/f*f)/f)**(-13) assuming f is positive.\n' | b'f**(-13)\n' | b'Simplify ((f**2/f*f)/f)**(-13) assuming f is positive.\n' | b'f**(-13)\n' | deepmind/math_dataset |
b'Simplify f**(-1/46)*(f*f*f**(-38)*f*f)/f assuming f is positive.\n' | b'f**(-1611/46)\n' | b'Simplify f**(-1/46)*(f*f*f**(-38)*f*f)/f assuming f is positive.\n' | b'f**(-1611/46)\n' | deepmind/math_dataset |
b'Simplify (x/x**(-27))**(7/4) assuming x is positive.\n' | b'x**49\n' | b'Simplify (x/x**(-27))**(7/4) assuming x is positive.\n' | b'x**49\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvivvv.\n' | b'5/6\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvivvv.\n' | b'5/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ehe when three letters picked without replacement from {h: 1, e: 2}.\n' | b'1/3\n' | b'Calculate prob of sequence ehe when three letters picked without replacement from {h: 1, e: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 p when three letters picked without replacement from ncbzpnccscnpssp.\n' | b'9/455\n' | b'Calculate prob of picking 1 n and 2 p when three letters picked without replacement from ncbzpnccscnpssp.\n' | b'9/455\n' | deepmind/math_dataset |
b'Let m(p) be the third derivative of -11*p**8/336 - 13*p**4/6 - 10*p**2 + 1. Find the second derivative of m(g) wrt g.\n' | b'-220*g**3\n' | b'Let m(p) be the third derivative of -11*p**8/336 - 13*p**4/6 - 10*p**2 + 1. Find the second derivative of m(g) wrt g.\n' | b'-220*g**3\n' | deepmind/math_dataset |
b'Let k be 2/(-5) + (-64)/(-10). Let r be 3/(3/(4 + -7)). Let v = r + k. Solve -1 = -v*j + 4*c + 7, 25 = -5*c for j.\n' | b'-4\n' | b'Let k be 2/(-5) + (-64)/(-10). Let r be 3/(3/(4 + -7)). Let v = r + k. Solve -1 = -v*j + 4*c + 7, 25 = -5*c for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence drg when three letters picked without replacement from dgrgdr.\n' | b'1/15\n' | b'Calculate prob of sequence drg when three letters picked without replacement from dgrgdr.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let q(t) be the first derivative of -36*t**5/5 - 12*t**3 - 14. What is the third derivative of q(n) wrt n?\n' | b'-864*n\n' | b'Let q(t) be the first derivative of -36*t**5/5 - 12*t**3 - 14. What is the third derivative of q(n) wrt n?\n' | b'-864*n\n' | deepmind/math_dataset |
b'Let d be ((-6)/14)/((-100)/(-700)). Let w(z) = -2*z**2 - 9*z - 10. What is w(d)?\n' | b'-1\n' | b'Let d be ((-6)/14)/((-100)/(-700)). Let w(z) = -2*z**2 - 9*z - 10. What is w(d)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence aahh when four letters picked without replacement from hjjjhjjajhja?\n' | b'1/990\n' | b'What is prob of sequence aahh when four letters picked without replacement from hjjjhjjajhja?\n' | b'1/990\n' | deepmind/math_dataset |
b'Simplify b*(b*b**(2/13))/b*b/(b*b**2*b*b)*b**2*b**(-1/3)*b/(b/(b**(-1)/b*b))*b*(b*b**(1/3))/b*(b/b**8)/((b/(b/(b*b**(-1/2)/b*b*b)))/b*b) assuming b is positive.\n' | b'b**(-243/26)\n' | b'Simplify b*(b*b**(2/13))/b*b/(b*b**2*b*b)*b**2*b**(-1/3)*b/(b/(b**(-1)/b*b))*b*(b*b**(1/3))/b*(b/b**8)/((b/(b/(b*b**(-1/2)/b*b*b)))/b*b) assuming b is positive.\n' | b'b**(-243/26)\n' | deepmind/math_dataset |
b'Let c(f) be the second derivative of f**6/15 + 7*f**5/10 - 551*f**4/12 + 316*f. Find the third derivative of c(i) wrt i.\n' | b'48*i + 84\n' | b'Let c(f) be the second derivative of f**6/15 + 7*f**5/10 - 551*f**4/12 + 316*f. Find the third derivative of c(i) wrt i.\n' | b'48*i + 84\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qpbauzba. What is prob of sequence zb?\n' | b'1/28\n' | b'Two letters picked without replacement from qpbauzba. What is prob of sequence zb?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let q(t) = -3*t + 2. Let n be q(2). Let m be n/(-14) - (-6)/(-21). Suppose 2*p = 3*c - 11, 3*p - 4 = -3*c - 2*p. Solve w + 2*o + 1 + 1 = m, 5*o + 5 = c*w for w.\n' | b'0\n' | b'Let q(t) = -3*t + 2. Let n be q(2). Let m be n/(-14) - (-6)/(-21). Suppose 2*p = 3*c - 11, 3*p - 4 = -3*c - 2*p. Solve w + 2*o + 1 + 1 = m, 5*o + 5 = c*w for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let j(r) = -15*r + 28. Let f(l) = -7*l + 14. Let h(m) = 13*f(m) - 6*j(m). Let k be h(1). Let x = 9 + -4. Solve -n + x*p = -5*n + k, 0 = -2*n + 5*p - 1 for n.\n' | b'2\n' | b'Let j(r) = -15*r + 28. Let f(l) = -7*l + 14. Let h(m) = 13*f(m) - 6*j(m). Let k be h(1). Let x = 9 + -4. Solve -n + x*p = -5*n + k, 0 = -2*n + 5*p - 1 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let m be 0 + (0 - (1 + -3)). Let s(j) = j**2 - 5*j + 5. Let w be s(4). Solve y - z = -w, 23 = y + 4*y + m*z for y.\n' | b'3\n' | b'Let m be 0 + (0 - (1 + -3)). Let s(j) = j**2 - 5*j + 5. Let w be s(4). Solve y - z = -w, 23 = y + 4*y + m*z for y.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 r and 1 o when four letters picked without replacement from wouuyrwurr.\n' | b'1/210\n' | b'Calculate prob of picking 3 r and 1 o when four letters picked without replacement from wouuyrwurr.\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose 26*y - 16 = 36. Let l(g) be the second derivative of 0*g**4 - 11/2*g**y + 0*g**3 + 0 + 7/20*g**5 + 2*g. What is the derivative of l(t) wrt t?\n' | b'21*t**2\n' | b'Suppose 26*y - 16 = 36. Let l(g) be the second derivative of 0*g**4 - 11/2*g**y + 0*g**3 + 0 + 7/20*g**5 + 2*g. What is the derivative of l(t) wrt t?\n' | b'21*t**2\n' | deepmind/math_dataset |
b'Let k = 18 + -19. Let i be k/(-4) + 56/32. Suppose -2*v + 0 = -3*l - 10, 0 = -2*v + 5*l + 10. Solve -8 = -3*b - 2*g, -i = b - v*g + 1 for b.\n' | b'2\n' | b'Let k = 18 + -19. Let i be k/(-4) + 56/32. Suppose -2*v + 0 = -3*l - 10, 0 = -2*v + 5*l + 10. Solve -8 = -3*b - 2*g, -i = b - v*g + 1 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let u(i) be the first derivative of 11*i**2/2 + 70*i - 1140. Give u(-7).\n' | b'-7\n' | b'Let u(i) be the first derivative of 11*i**2/2 + 70*i - 1140. Give u(-7).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tqrrppopprt. Give prob of sequence ppqp.\n' | b'1/330\n' | b'Four letters picked without replacement from tqrrppopprt. Give prob of sequence ppqp.\n' | b'1/330\n' | deepmind/math_dataset |
b'Simplify ((u*u**49)/(u*u/u**(-28)*u)*u**34/(u**29/u))**18 assuming u is positive.\n' | b'u**450\n' | b'Simplify ((u*u**49)/(u*u/u**(-28)*u)*u**34/(u**29/u))**18 assuming u is positive.\n' | b'u**450\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffwdwwpdddwddwddff. What is prob of sequence wfp?\n' | b'5/1224\n' | b'Three letters picked without replacement from ffwdwwpdddwddwddff. What is prob of sequence wfp?\n' | b'5/1224\n' | deepmind/math_dataset |
b'Let k = 85 + -75. Suppose 0 = -q - 4 + k. Let n(x) = x + 2. Give n(q).\n' | b'8\n' | b'Let k = 85 + -75. Suppose 0 = -q - 4 + k. Let n(x) = x + 2. Give n(q).\n' | b'8\n' | deepmind/math_dataset |
b'Let c(d) be the third derivative of 0 + 0*d + 7/24*d**4 + 5/6*d**3 + 4*d**2 + 7/60*d**5 + 1/120*d**6. Give c(-6).\n' | b'-1\n' | b'Let c(d) be the third derivative of 0 + 0*d + 7/24*d**4 + 5/6*d**3 + 4*d**2 + 7/60*d**5 + 1/120*d**6. Give c(-6).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmmymymmmmm. What is prob of picking 1 m and 1 y?\n' | b'11/39\n' | b'Two letters picked without replacement from mmmmmymymmmmm. What is prob of picking 1 m and 1 y?\n' | b'11/39\n' | deepmind/math_dataset |
b'Let d be -2 + -1 + (-854)/(-122). Solve 3*o - 2*g = -d*g - 11, 1 = 3*o - g for o.\n' | b'-1\n' | b'Let d be -2 + -1 + (-854)/(-122). Solve 3*o - 2*g = -d*g - 11, 1 = 3*o - g for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w*w**(-3/13)/w*w)/w*w/(w*w**17*w*w*w) assuming w is positive.\n' | b'w**(-263/13)\n' | b'Simplify (w*w**(-3/13)/w*w)/w*w/(w*w**17*w*w*w) assuming w is positive.\n' | b'w**(-263/13)\n' | deepmind/math_dataset |
b'What is prob of sequence nmt when three letters picked without replacement from {m: 2, w: 1, i: 2, t: 2, n: 3, d: 4}?\n' | b'1/182\n' | b'What is prob of sequence nmt when three letters picked without replacement from {m: 2, w: 1, i: 2, t: 2, n: 3, d: 4}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Simplify ((x**5*x)/x)/(x*x/(x**(-1/8)*x))*(x/(x**0/x))**39 assuming x is positive.\n' | b'x**(655/8)\n' | b'Simplify ((x**5*x)/x)/(x*x/(x**(-1/8)*x))*(x/(x**0/x))**39 assuming x is positive.\n' | b'x**(655/8)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, p: 11, m: 2}.\n' | b'21/190\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, p: 11, m: 2}.\n' | b'21/190\n' | deepmind/math_dataset |
b'Suppose -12 = -w + 4*w, 4*w + 12 = -2*k. Suppose k*i - 20 = -3*i. Let z = 18 + -13. Solve t - 16 = a - i*t, -z*t = -5*a for a.\n' | b'4\n' | b'Suppose -12 = -w + 4*w, 4*w + 12 = -2*k. Suppose k*i - 20 = -3*i. Let z = 18 + -13. Solve t - 16 = a - i*t, -z*t = -5*a for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let s(z) be the first derivative of z**6/30 - 5*z**4/24 + 3*z**2/2 + 3. Let k(i) be the second derivative of s(i). What is the second derivative of k(u) wrt u?\n' | b'24*u\n' | b'Let s(z) be the first derivative of z**6/30 - 5*z**4/24 + 3*z**2/2 + 3. Let k(i) be the second derivative of s(i). What is the second derivative of k(u) wrt u?\n' | b'24*u\n' | deepmind/math_dataset |
b'Let w(t) be the first derivative of 4*t**6/3 + 17*t**5/5 + t**3 - 11*t**2 + 527. What is the third derivative of w(q) wrt q?\n' | b'480*q**2 + 408*q\n' | b'Let w(t) be the first derivative of 4*t**6/3 + 17*t**5/5 + t**3 - 11*t**2 + 527. What is the third derivative of w(q) wrt q?\n' | b'480*q**2 + 408*q\n' | deepmind/math_dataset |
b'Let p be 3*(-7 - -2 - 2). Suppose -2 = 2*b - 4*b - 2*l, -3*l + 15 = -3*b. Let u be b/7 + (-48)/p. Solve -5*v + 8 = -s, -6 + 2 = u*v + 2*s for v.\n' | b'1\n' | b'Let p be 3*(-7 - -2 - 2). Suppose -2 = 2*b - 4*b - 2*l, -3*l + 15 = -3*b. Let u be b/7 + (-48)/p. Solve -5*v + 8 = -s, -6 + 2 = u*v + 2*s for v.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5*m = -4 + 14. Let s(u) = -3*u - 11. Let f(o) = o + 5. Let n(j) = m*s(j) - 5*f(j). What is n(8)?\n' | b'5\n' | b'Suppose -5*m = -4 + 14. Let s(u) = -3*u - 11. Let f(o) = o + 5. Let n(j) = m*s(j) - 5*f(j). What is n(8)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (c**(1/4))**48*(c**(1/4)/c)**(-3) assuming c is positive.\n' | b'c**(57/4)\n' | b'Simplify (c**(1/4))**48*(c**(1/4)/c)**(-3) assuming c is positive.\n' | b'c**(57/4)\n' | deepmind/math_dataset |
b'Calculate prob of sequence eggg when four letters picked without replacement from {g: 11, e: 3}.\n' | b'45/364\n' | b'Calculate prob of sequence eggg when four letters picked without replacement from {g: 11, e: 3}.\n' | b'45/364\n' | deepmind/math_dataset |
b'Let m(b) be the first derivative of -2*b + 1/2*b**2 - 2 + 1/6*b**3. Let y(q) be the first derivative of m(q). Find the first derivative of y(f) wrt f.\n' | b'1\n' | b'Let m(b) be the first derivative of -2*b + 1/2*b**2 - 2 + 1/6*b**3. Let y(q) be the first derivative of m(q). Find the first derivative of y(f) wrt f.\n' | b'1\n' | deepmind/math_dataset |
b'Let l(z) = -1 - 2 - 46*z + 4*z**2 + 23*z - z**3 + 21*z. Determine l(3).\n' | b'0\n' | b'Let l(z) = -1 - 2 - 46*z + 4*z**2 + 23*z - z**3 + 21*z. Determine l(3).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((g*g**(2/7)*g)/g**(2/5)*g**5*g*g**(-6/5)*g)**(34/9) assuming g is positive.\n' | b'g**(9146/315)\n' | b'Simplify ((g*g**(2/7)*g)/g**(2/5)*g**5*g*g**(-6/5)*g)**(34/9) assuming g is positive.\n' | b'g**(9146/315)\n' | deepmind/math_dataset |
b'What is prob of sequence nddd when four letters picked without replacement from {d: 4, g: 2, n: 1}?\n' | b'1/35\n' | b'What is prob of sequence nddd when four letters picked without replacement from {d: 4, g: 2, n: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let m = 135 + -132. Let b(c) be the second derivative of 0*c**4 + 0*c**m + 2*c + c**2 + 0 + 3/20*c**5. What is the derivative of b(w) wrt w?\n' | b'9*w**2\n' | b'Let m = 135 + -132. Let b(c) be the second derivative of 0*c**4 + 0*c**m + 2*c + c**2 + 0 + 3/20*c**5. What is the derivative of b(w) wrt w?\n' | b'9*w**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 6}. What is prob of sequence uu?\n' | b'1\n' | b'Two letters picked without replacement from {u: 6}. What is prob of sequence uu?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -b + y = 0, 5*b - 3*y = -0*b + 4. Let f = -208 + 258. Suppose 0 = -15*r - 5 + f. Solve 0*v - 6 = -r*v + 4*t, 3*t = -b*v + 4 for v.\n' | b'2\n' | b'Suppose -b + y = 0, 5*b - 3*y = -0*b + 4. Let f = -208 + 258. Suppose 0 = -15*r - 5 + f. Solve 0*v - 6 = -r*v + 4*t, 3*t = -b*v + 4 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjjjjaeejjjjjjjjj. Give prob of picking 2 j.\n' | b'91/136\n' | b'Two letters picked without replacement from jjjjjaeejjjjjjjjj. Give prob of picking 2 j.\n' | b'91/136\n' | deepmind/math_dataset |
b'Simplify s**(3/11)/s*s*s**3 assuming s is positive.\n' | b's**(36/11)\n' | b'Simplify s**(3/11)/s*s*s**3 assuming s is positive.\n' | b's**(36/11)\n' | deepmind/math_dataset |
b'Suppose 0 = 4*u + 245 - 257. Solve 0 = 2*k - 3*g + 1, 4*g + 17 = 2*k - u*k for k.\n' | b'-5\n' | b'Suppose 0 = 4*u + 245 - 257. Solve 0 = 2*k - 3*g + 1, 4*g + 17 = 2*k - u*k for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(f) = 7*f**3 + f**2 - 2*f + 2. Let s be o(1). Suppose -17 = 3*w - s. Let x be -3 - -5 - (w + 0). Solve x*k = 2*a - 26, 4*a - 42 = 5*k - 10 for a.\n' | b'3\n' | b'Let o(f) = 7*f**3 + f**2 - 2*f + 2. Let s be o(1). Suppose -17 = 3*w - s. Let x be -3 - -5 - (w + 0). Solve x*k = 2*a - 26, 4*a - 42 = 5*k - 10 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*n - y = 17, 0 - 45 = -5*n + 5*y. Let t be 1*(-6)/3 + n. What is the third derivative of 3*q**2 - q**3 + 0*q**3 - 2*q**t - 2*q**2 wrt q?\n' | b'-6\n' | b'Suppose 3*n - y = 17, 0 - 45 = -5*n + 5*y. Let t be 1*(-6)/3 + n. What is the third derivative of 3*q**2 - q**3 + 0*q**3 - 2*q**t - 2*q**2 wrt q?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((w*w/w**2)/w)/w)/((w**(-5)/w)/w)*(w/(w**0/w))/(w/w**(-5)) assuming w is positive.\n' | b'w\n' | b'Simplify (((w*w/w**2)/w)/w)/((w**(-5)/w)/w)*(w/(w**0/w))/(w/w**(-5)) assuming w is positive.\n' | b'w\n' | deepmind/math_dataset |
b'Calculate prob of sequence rvd when three letters picked without replacement from {r: 1, s: 3, b: 6, m: 2, v: 1, d: 2}.\n' | b'1/1365\n' | b'Calculate prob of sequence rvd when three letters picked without replacement from {r: 1, s: 3, b: 6, m: 2, v: 1, d: 2}.\n' | b'1/1365\n' | deepmind/math_dataset |
b'Find the third derivative of 6*q**2 - 141*q**3 + 3*q**5 - 2*q - 22*q**2 + 150*q**3 wrt q.\n' | b'180*q**2 + 54\n' | b'Find the third derivative of 6*q**2 - 141*q**3 + 3*q**5 - 2*q - 22*q**2 + 150*q**3 wrt q.\n' | b'180*q**2 + 54\n' | deepmind/math_dataset |
b'What is prob of sequence rp when two letters picked without replacement from {p: 3, w: 7, r: 3}?\n' | b'3/52\n' | b'What is prob of sequence rp when two letters picked without replacement from {p: 3, w: 7, r: 3}?\n' | b'3/52\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, f: 1, z: 3}. Give prob of picking 1 z and 1 m.\n' | b'3/7\n' | b'Two letters picked without replacement from {m: 3, f: 1, z: 3}. Give prob of picking 1 z and 1 m.\n' | b'3/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 3, m: 2, s: 3, n: 1, x: 1, b: 9}. Give prob of sequence nlb.\n' | b'3/646\n' | b'Three letters picked without replacement from {l: 3, m: 2, s: 3, n: 1, x: 1, b: 9}. Give prob of sequence nlb.\n' | b'3/646\n' | deepmind/math_dataset |
b'Let k(c) be the second derivative of 7*c**3/3 - 109*c**2/2 - 2*c + 9. Let s be k(9). Solve -u - s = y + 3*y, -3*u = y + 18 for y.\n' | b'-3\n' | b'Let k(c) be the second derivative of 7*c**3/3 - 109*c**2/2 - 2*c + 9. Let s be k(9). Solve -u - s = y + 3*y, -3*u = y + 18 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(z) = z + 3 - 3*z + z. Suppose -6 = -3*t + 6. Suppose 18 = t*q + 2. Give f(q).\n' | b'-1\n' | b'Let f(z) = z + 3 - 3*z + z. Suppose -6 = -3*t + 6. Suppose 18 = t*q + 2. Give f(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 7}. Give prob of picking 2 z.\n' | b'1\n' | b'Two letters picked without replacement from {z: 7}. Give prob of picking 2 z.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from uuxdfsuuxdsuf.\n' | b'1/78\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from uuxdfsuuxdsuf.\n' | b'1/78\n' | deepmind/math_dataset |
b'Let b(t) = -t**3 + t**2 + t + 1. Let x(j) = -j**3 - 5*j**2 - 5*j + 5. Let h(r) = 5*b(r) + x(r). Differentiate h(m) wrt m.\n' | b'-18*m**2\n' | b'Let b(t) = -t**3 + t**2 + t + 1. Let x(j) = -j**3 - 5*j**2 - 5*j + 5. Let h(r) = 5*b(r) + x(r). Differentiate h(m) wrt m.\n' | b'-18*m**2\n' | deepmind/math_dataset |
b'Let x(t) = -5*t**3 - 4*t**2 + t + 2. Let f be x(-1). Solve 0 = 4*b - 3*b + g - 1, -4*b - f = g for b.\n' | b'-1\n' | b'Let x(t) = -5*t**3 - 4*t**2 + t + 2. Let f be x(-1). Solve 0 = 4*b - 3*b + g - 1, -4*b - f = g for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -o = -301 + 293. Solve 0 = 4*a - 10*x + o*x, 3*a + 14 = -2*x for a.\n' | b'-2\n' | b'Suppose -o = -301 + 293. Solve 0 = 4*a - 10*x + o*x, 3*a + 14 = -2*x for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence sg when two letters picked without replacement from ssgssgsgsggg.\n' | b'3/11\n' | b'Calculate prob of sequence sg when two letters picked without replacement from ssgssgsgsggg.\n' | b'3/11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mqqlsltlqqqqqsqqmqll. What is prob of sequence lql?\n' | b'5/171\n' | b'Three letters picked without replacement from mqqlsltlqqqqqsqqmqll. What is prob of sequence lql?\n' | b'5/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, z: 8, e: 1, y: 6}. Give prob of picking 2 y and 1 e.\n' | b'3/112\n' | b'Three letters picked without replacement from {m: 1, z: 8, e: 1, y: 6}. Give prob of picking 2 y and 1 e.\n' | b'3/112\n' | deepmind/math_dataset |
b'Let k(g) = -21*g - 6. Let w = -8521 - -8519. What is k(w)?\n' | b'36\n' | b'Let k(g) = -21*g - 6. Let w = -8521 - -8519. What is k(w)?\n' | b'36\n' | deepmind/math_dataset |
b'Let z(v) = v + 0*v**2 - 46 - 24*v**2 - 3*v - v. Let n(c) = -24*c**2 - 3*c - 44. Let l(x) = 4*n(x) - 3*z(x). Differentiate l(t) with respect to t.\n' | b'-48*t - 3\n' | b'Let z(v) = v + 0*v**2 - 46 - 24*v**2 - 3*v - v. Let n(c) = -24*c**2 - 3*c - 44. Let l(x) = 4*n(x) - 3*z(x). Differentiate l(t) with respect to t.\n' | b'-48*t - 3\n' | deepmind/math_dataset |
b'Let n(g) = 2*g**4 + 248*g**3 - 4567. Let y(d) = -2*d**4 + d**3 + 2*d + 1. Let m(k) = n(k) - y(k). Differentiate m(r) wrt r.\n' | b'16*r**3 + 741*r**2 - 2\n' | b'Let n(g) = 2*g**4 + 248*g**3 - 4567. Let y(d) = -2*d**4 + d**3 + 2*d + 1. Let m(k) = n(k) - y(k). Differentiate m(r) wrt r.\n' | b'16*r**3 + 741*r**2 - 2\n' | deepmind/math_dataset |
b'Find the third derivative of v**5 + 2*v**2 + 7*v**2 + 18 - 2*v**2 - 6 - 5*v**5 + 25*v**4 wrt v.\n' | b'-240*v**2 + 600*v\n' | b'Find the third derivative of v**5 + 2*v**2 + 7*v**2 + 18 - 2*v**2 - 6 - 5*v**5 + 25*v**4 wrt v.\n' | b'-240*v**2 + 600*v\n' | deepmind/math_dataset |
b'What is prob of sequence fsfb when four letters picked without replacement from {s: 7, e: 2, f: 5, b: 4}?\n' | b'7/918\n' | b'What is prob of sequence fsfb when four letters picked without replacement from {s: 7, e: 2, f: 5, b: 4}?\n' | b'7/918\n' | deepmind/math_dataset |
b'Calculate prob of sequence rzy when three letters picked without replacement from yrymzzmb.\n' | b'1/84\n' | b'Calculate prob of sequence rzy when three letters picked without replacement from yrymzzmb.\n' | b'1/84\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from txlxtxttnttxnntxxtt?\n' | b'1/57\n' | b'What is prob of sequence nn when two letters picked without replacement from txlxtxttnttxnntxxtt?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let r be 2/6 + 40/6. Let z(s) = 42*s + 13. Let v(p) = -157*p - 51. Let b(t) = 4*v(t) + 15*z(t). What is b(r)?\n' | b'5\n' | b'Let r be 2/6 + 40/6. Let z(s) = 42*s + 13. Let v(p) = -157*p - 51. Let b(t) = 4*v(t) + 15*z(t). What is b(r)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify g/(((g/g**(-26))/g)/g*g)*g**20*(g/g**(-26))/(g/g**(-3/11)) assuming g is positive.\n' | b'g**(228/11)\n' | b'Simplify g/(((g/g**(-26))/g)/g*g)*g**20*(g/g**(-26))/(g/g**(-3/11)) assuming g is positive.\n' | b'g**(228/11)\n' | deepmind/math_dataset |
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