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(c) = 10*c**2 + 3*c - 6. Let y(x) = -7*x**2 - 2*x + 4. Let l(r) = 5*q(r) + 7*y(r). Suppose 0 = -o - 2*o + 9. Suppose 0 = u + o*u. Give l(u).\n' | b'-2\n' | b'Let q(c) = 10*c**2 + 3*c - 6. Let y(x) = -7*x**2 - 2*x + 4. Let l(r) = 5*q(r) + 7*y(r). Suppose 0 = -o - 2*o + 9. Suppose 0 = u + o*u. Give l(u).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 5*g - 4 = 3*o + 6, -o = 0. Suppose 0 = z - 3 - 9. Suppose 15*i - z = 12*i. Solve i*a = -12, a - g*a + 13 = 4*j for j.\n' | b'4\n' | b'Suppose 5*g - 4 = 3*o + 6, -o = 0. Suppose 0 = z - 3 - 9. Suppose 15*i - z = 12*i. Solve i*a = -12, a - g*a + 13 = 4*j for j.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence yvvu when four letters picked without replacement from {u: 1, e: 3, v: 1, j: 1, y: 1}?\n' | b'0\n' | b'What is prob of sequence yvvu when four letters picked without replacement from {u: 1, e: 3, v: 1, j: 1, y: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence zuzu when four letters picked without replacement from {u: 12, z: 3}?\n' | b'11/455\n' | b'What is prob of sequence zuzu when four letters picked without replacement from {u: 12, z: 3}?\n' | b'11/455\n' | deepmind/math_dataset |
b'Let m = -28 - -33. Solve 3*y - 1 = -3*k + 5*k, 15 = m*y for k.\n' | b'4\n' | b'Let m = -28 - -33. Solve 3*y - 1 = -3*k + 5*k, 15 = m*y for k.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3 = d + 5*k - 9, d - 2*k = -2. Suppose 2*c = -d*h - 42, -3*h = c - h + 25. Let n = c + 19. Solve 1 = z, -3*a - n*z - 2 = -5*a for a.\n' | b'2\n' | b'Suppose 3 = d + 5*k - 9, d - 2*k = -2. Suppose 2*c = -d*h - 42, -3*h = c - h + 25. Let n = c + 19. Solve 1 = z, -3*a - n*z - 2 = -5*a for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let x(a) be the second derivative of a**5/20 - 5*a**4/12 - 5*a**3/6 - 5*a**2 - 4*a. Let m be x(6). Let j(h) = 3*h + 1. Give j(m).\n' | b'-11\n' | b'Let x(a) be the second derivative of a**5/20 - 5*a**4/12 - 5*a**3/6 - 5*a**2 - 4*a. Let m be x(6). Let j(h) = 3*h + 1. Give j(m).\n' | b'-11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, m: 1, i: 3}. What is prob of picking 1 m and 1 i?\n' | b'3/28\n' | b'Two letters picked without replacement from {t: 4, m: 1, i: 3}. What is prob of picking 1 m and 1 i?\n' | b'3/28\n' | deepmind/math_dataset |
b'Suppose -3*h - 11 = -2*j, -3*j + 36 = -5*h + 19. Let d(r) = 2*r - 25. Let m be d(14). Let c(y) = 5*y**3 - 1 + y**3 + 2*y**2 - m*y**3. What is c(h)?\n' | b'-2\n' | b'Suppose -3*h - 11 = -2*j, -3*j + 36 = -5*h + 19. Let d(r) = 2*r - 25. Let m be d(14). Let c(y) = 5*y**3 - 1 + y**3 + 2*y**2 - m*y**3. What is c(h)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjamajmcjjcjjanjj. What is prob of picking 1 j and 1 c?\n' | b'9/68\n' | b'Two letters picked without replacement from jjamajmcjjcjjanjj. What is prob of picking 1 j and 1 c?\n' | b'9/68\n' | deepmind/math_dataset |
b'Let h(j) = -j**3 + j**2 + 2*j - 1. Let b(r) = 21*r**3 - 5*r**2 - 18*r - 340. Let q(y) = b(y) + 5*h(y). What is the first derivative of q(c) wrt c?\n' | b'48*c**2 - 8\n' | b'Let h(j) = -j**3 + j**2 + 2*j - 1. Let b(r) = 21*r**3 - 5*r**2 - 18*r - 340. Let q(y) = b(y) + 5*h(y). What is the first derivative of q(c) wrt c?\n' | b'48*c**2 - 8\n' | deepmind/math_dataset |
b'What is prob of picking 2 t when two letters picked without replacement from ttzztzttztt?\n' | b'21/55\n' | b'What is prob of picking 2 t when two letters picked without replacement from ttzztzttztt?\n' | b'21/55\n' | deepmind/math_dataset |
b'What is prob of sequence rkr when three letters picked without replacement from {r: 2, k: 10}?\n' | b'1/66\n' | b'What is prob of sequence rkr when three letters picked without replacement from {r: 2, k: 10}?\n' | b'1/66\n' | deepmind/math_dataset |
b'Differentiate 24 - 177*w - 188*w - 201 with respect to w.\n' | b'-365\n' | b'Differentiate 24 - 177*w - 188*w - 201 with respect to w.\n' | b'-365\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggvvdgrvg. Give prob of sequence vdv.\n' | b'1/120\n' | b'Three letters picked without replacement from gggvvdgrvg. Give prob of sequence vdv.\n' | b'1/120\n' | deepmind/math_dataset |
b'Let l(n) = n**3 + 7*n**2 + 5*n - 2. Let m be l(-6). Suppose -16*g + 1110 - 166 = 0. Let q = 60 - g. Solve -t - 5*j = 14, m*t - q + 0 = -j for t.\n' | b'1\n' | b'Let l(n) = n**3 + 7*n**2 + 5*n - 2. Let m be l(-6). Suppose -16*g + 1110 - 166 = 0. Let q = 60 - g. Solve -t - 5*j = 14, m*t - q + 0 = -j for t.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooozhoozoooooo. What is prob of picking 2 o and 1 h?\n' | b'55/364\n' | b'Three letters picked without replacement from ooozhoozoooooo. What is prob of picking 2 o and 1 h?\n' | b'55/364\n' | deepmind/math_dataset |
b'Let n = 146 + -226. Let u = -77 - n. What is the derivative of -206*i**3 + 422*i**3 - 40 - 244*i**u wrt i?\n' | b'-84*i**2\n' | b'Let n = 146 + -226. Let u = -77 - n. What is the derivative of -206*i**3 + 422*i**3 - 40 - 244*i**u wrt i?\n' | b'-84*i**2\n' | deepmind/math_dataset |
b'Let s(c) = -31*c**2 - 16*c + 21. Let r(f) = -15*f**2 - 9*f + 12. Let l(i) = 7*r(i) - 4*s(i). Calculate l(-1).\n' | b'18\n' | b'Let s(c) = -31*c**2 - 16*c + 21. Let r(f) = -15*f**2 - 9*f + 12. Let l(i) = 7*r(i) - 4*s(i). Calculate l(-1).\n' | b'18\n' | deepmind/math_dataset |
b'Let j be ((-30)/(-6))/(5*(-3)/(-54)). Solve c = -4*z + 16, -35*z + 33*z + j = -2*c for c.\n' | b'-4\n' | b'Let j be ((-30)/(-6))/(5*(-3)/(-54)). Solve c = -4*z + 16, -35*z + 33*z + j = -2*c for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (a*a*a**(-5/4)*a*a)/(a/(a**(4/3)/a))*a**(7/4)/a**(-3) assuming a is positive.\n' | b'a**(41/6)\n' | b'Simplify (a*a*a**(-5/4)*a*a)/(a/(a**(4/3)/a))*a**(7/4)/a**(-3) assuming a is positive.\n' | b'a**(41/6)\n' | deepmind/math_dataset |
b'Let p = 80 - 222. Let h = 145 + p. Solve 0 = -4*v - 3*n - 17, v + v - h*n = -13 for v.\n' | b'-5\n' | b'Let p = 80 - 222. Let h = 145 + p. Solve 0 = -4*v - 3*n - 17, v + v - h*n = -13 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((u**(-3/4)/u)/(u*u**5/u))/(u**4/u**(2/7)) assuming u is positive.\n' | b'u**(-293/28)\n' | b'Simplify ((u**(-3/4)/u)/(u*u**5/u))/(u**4/u**(2/7)) assuming u is positive.\n' | b'u**(-293/28)\n' | deepmind/math_dataset |
b'Let m(g) = g**3 + 5*g**2 - 5*g. Let p be (-15)/(-1)*(-1)/3. Let z = p - 4. Let n = 3 + z. Determine m(n).\n' | b'-6\n' | b'Let m(g) = g**3 + 5*g**2 - 5*g. Let p be (-15)/(-1)*(-1)/3. Let z = p - 4. Let n = 3 + z. Determine m(n).\n' | b'-6\n' | deepmind/math_dataset |
b'Let w(z) be the first derivative of -z**3/3 + 4*z**2 + 11*z - 8. Let n be w(9). Solve -3*r - 14 = -n*g, -2*r - 1 - 10 = -3*g for g.\n' | b'1\n' | b'Let w(z) be the first derivative of -z**3/3 + 4*z**2 + 11*z - 8. Let n be w(9). Solve -3*r - 14 = -n*g, -2*r - 1 - 10 = -3*g for g.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 11*i = -6412 + 6434. Solve n - 1 = -i*s - 2*n, 0 = 4*s - 5*n - 35 for s.\n' | b'5\n' | b'Suppose 11*i = -6412 + 6434. Solve n - 1 = -i*s - 2*n, 0 = 4*s - 5*n - 35 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let v(b) = 32*b + 230 + 21*b**2 + 23*b**2 - 63*b**2 + 18*b**2. Let g be v(-6). Solve 0 = -2*y + g*l + 14, -4*y + l = -6 - 13 for y.\n' | b'4\n' | b'Let v(b) = 32*b + 230 + 21*b**2 + 23*b**2 - 63*b**2 + 18*b**2. Let g be v(-6). Solve 0 = -2*y + g*l + 14, -4*y + l = -6 - 13 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let x = -33 - -10. Let g = x - -24. Let a be (-1 - 3)*(2/(-4))/g. Solve -6*b = a*k - 2*b + 16, -4*k + 4*b - 8 = 0 for k.\n' | b'-4\n' | b'Let x = -33 - -10. Let g = x - -24. Let a be (-1 - 3)*(2/(-4))/g. Solve -6*b = a*k - 2*b + 16, -4*k + 4*b - 8 = 0 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, e: 1, j: 2}. What is prob of sequence je?\n' | b'1/6\n' | b'Two letters picked without replacement from {t: 1, e: 1, j: 2}. What is prob of sequence je?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 10*g - 478 = -1978. Let y = 168 + g. Solve -2*l = -4*a, -2*a - y + 2 = -5*l for l.\n' | b'4\n' | b'Suppose 10*g - 478 = -1978. Let y = 168 + g. Solve -2*l = -4*a, -2*a - y + 2 = -5*l for l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -4*v = -4*j + 7*j - 8, j + 4*v = 8. Suppose j*a - 60 = -5*a. Solve 4*k - a = 4*b - 2*b, -k = -5*b - 3 for b.\n' | b'0\n' | b'Suppose -4*v = -4*j + 7*j - 8, j + 4*v = 8. Suppose j*a - 60 = -5*a. Solve 4*k - a = 4*b - 2*b, -k = -5*b - 3 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddgdnddadagdnd. Give prob of sequence gadg.\n' | b'4/3003\n' | b'Four letters picked without replacement from ddgdnddadagdnd. Give prob of sequence gadg.\n' | b'4/3003\n' | deepmind/math_dataset |
b'Let v(d) = d**3 + 3*d**2 - 53*d + 11. Let q be v(-9). Suppose 0*w - 4 = -q*w. Solve -5*n - 10 = w*c, -5*c - n + 16 = -c for c.\n' | b'5\n' | b'Let v(d) = d**3 + 3*d**2 - 53*d + 11. Let q be v(-9). Suppose 0*w - 4 = -q*w. Solve -5*n - 10 = w*c, -5*c - n + 16 = -c for c.\n' | b'5\n' | deepmind/math_dataset |
b'Let a = -154 + 157. Let o(p) = 45*p**a + 5*p**2 - 4 - 2*p - 46*p**3 + 2. Determine o(4).\n' | b'6\n' | b'Let a = -154 + 157. Let o(p) = 45*p**a + 5*p**2 - 4 - 2*p - 46*p**3 + 2. Determine o(4).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (((j*j**10)/(j/(j/j**(2/3))*j))**(-9/5))**(-2) assuming j is positive.\n' | b'j**(168/5)\n' | b'Simplify (((j*j**10)/(j/(j/j**(2/3))*j))**(-9/5))**(-2) assuming j is positive.\n' | b'j**(168/5)\n' | deepmind/math_dataset |
b'Let b(l) be the first derivative of 2*l**2 - 18*l + 177. What is b(6)?\n' | b'6\n' | b'Let b(l) be the first derivative of 2*l**2 - 18*l + 177. What is b(6)?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 9*n + 32 = 2*m + 8*n, 0 = 5*m - 5*n - 70. Solve f - 19 = -4*q, -2*q - 3*f = -5*q + m for q.\n' | b'5\n' | b'Suppose 9*n + 32 = 2*m + 8*n, 0 = 5*m - 5*n - 70. Solve f - 19 = -4*q, -2*q - 3*f = -5*q + m for q.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, q: 6, g: 1, t: 1, u: 3}. What is prob of sequence ug?\n' | b'3/182\n' | b'Two letters picked without replacement from {i: 3, q: 6, g: 1, t: 1, u: 3}. What is prob of sequence ug?\n' | b'3/182\n' | deepmind/math_dataset |
b'Four letters picked without replacement from puagypgy. Give prob of picking 2 y, 1 a, and 1 p.\n' | b'1/35\n' | b'Four letters picked without replacement from puagypgy. Give prob of picking 2 y, 1 a, and 1 p.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let s(f) = 167*f + 2702. Let l(y) = -79*y - 1349. Let i(p) = 11*l(p) + 6*s(p). What is the derivative of i(m) wrt m?\n' | b'133\n' | b'Let s(f) = 167*f + 2702. Let l(y) = -79*y - 1349. Let i(p) = 11*l(p) + 6*s(p). What is the derivative of i(m) wrt m?\n' | b'133\n' | deepmind/math_dataset |
b'Let x(c) be the third derivative of 71*c**5/10 - c**4/12 + 2245*c**3/6 - 1598*c**2. Differentiate x(y) wrt y.\n' | b'852*y - 2\n' | b'Let x(c) be the third derivative of 71*c**5/10 - c**4/12 + 2245*c**3/6 - 1598*c**2. Differentiate x(y) wrt y.\n' | b'852*y - 2\n' | deepmind/math_dataset |
b'Suppose 4*l = w + 5, 5*w + 0*l = 3*l + 9. Let z(a) = 2*a**2 - 4*a - 1. Let q be z(w). What is the second derivative of -7*y**q + 4*y - 11*y - 3*y wrt y?\n' | b'-140*y**3\n' | b'Suppose 4*l = w + 5, 5*w + 0*l = 3*l + 9. Let z(a) = 2*a**2 - 4*a - 1. Let q be z(w). What is the second derivative of -7*y**q + 4*y - 11*y - 3*y wrt y?\n' | b'-140*y**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cxvqxvcqvqvvvnfxnqx. Give prob of picking 1 q and 2 n.\n' | b'4/969\n' | b'Three letters picked without replacement from cxvqxvcqvqvvvnfxnqx. Give prob of picking 1 q and 2 n.\n' | b'4/969\n' | deepmind/math_dataset |
b'Let p(n) = 3*n. Let i be p(1). Let d be 90/20 + (-3)/2. Find the second derivative of -4 - 1 - i*q + 5 - d*q**2 wrt q.\n' | b'-6\n' | b'Let p(n) = 3*n. Let i be p(1). Let d be 90/20 + (-3)/2. Find the second derivative of -4 - 1 - i*q + 5 - d*q**2 wrt q.\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 2 i, 1 n, and 1 e when four letters picked without replacement from uienne?\n' | b'0\n' | b'What is prob of picking 2 i, 1 n, and 1 e when four letters picked without replacement from uienne?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence uh when two letters picked without replacement from uuthhuuthu.\n' | b'1/6\n' | b'Calculate prob of sequence uh when two letters picked without replacement from uuthhuuthu.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 2 x when three letters picked without replacement from hhjjjhhjjvljxhx?\n' | b'6/455\n' | b'What is prob of picking 1 j and 2 x when three letters picked without replacement from hhjjjhhjjvljxhx?\n' | b'6/455\n' | deepmind/math_dataset |
b'Let c = 14 + -13. Let u(z) = -z**2 - z. Let j(s) = 3*s**3 - 2*s**2 - 4*s + 1. Let m(q) = j(q) - 2*u(q). Calculate m(c).\n' | b'2\n' | b'Let c = 14 + -13. Let u(z) = -z**2 - z. Let j(s) = 3*s**3 - 2*s**2 - 4*s + 1. Let m(q) = j(q) - 2*u(q). Calculate m(c).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (j/(j*j**(-2)))**(-23)*(j*j**(-1/17))/(((j/(j*j**5))/j)/j) assuming j is positive.\n' | b'j**(-647/17)\n' | b'Simplify (j/(j*j**(-2)))**(-23)*(j*j**(-1/17))/(((j/(j*j**5))/j)/j) assuming j is positive.\n' | b'j**(-647/17)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwbwwwbwbwwbb. Give prob of sequence wb.\n' | b'10/39\n' | b'Two letters picked without replacement from wwbwwwbwbwwbb. Give prob of sequence wb.\n' | b'10/39\n' | deepmind/math_dataset |
b'Simplify (((h*h**(-1/4)*h)/((h/h**(-2/9)*h*h)/h))/((h**6*h)/(h*h**1*h)))/((h**(-1))**36/(h/(h*h**(-2)))**(2/97)) assuming h is positive.\n' | b'h**(110239/3492)\n' | b'Simplify (((h*h**(-1/4)*h)/((h/h**(-2/9)*h*h)/h))/((h**6*h)/(h*h**1*h)))/((h**(-1))**36/(h/(h*h**(-2)))**(2/97)) assuming h is positive.\n' | b'h**(110239/3492)\n' | deepmind/math_dataset |
b'Let r(s) = -2*s - 7. Suppose -2*p + 3 = 7. Let f(o) = o**2 + 2*o + 3. Let u be f(p). Suppose -2*j + u*j = -5. Give r(j).\n' | b'3\n' | b'Let r(s) = -2*s - 7. Suppose -2*p + 3 = 7. Let f(o) = o**2 + 2*o + 3. Let u be f(p). Suppose -2*j + u*j = -5. Give r(j).\n' | b'3\n' | deepmind/math_dataset |
b'Let k = 35 - 32. Let l(u) = -2*u + 6. Let d be l(k). Solve c = -2*c + f - 9, d = -3*c + 4*f for c.\n' | b'-4\n' | b'Let k = 35 - 32. Let l(u) = -2*u + 6. Let d be l(k). Solve c = -2*c + f - 9, d = -3*c + 4*f for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let c(v) = -2*v**2 + 73*v + 41. Let d be c(37). Solve -l = d*a + 6, -a - l - 3*l = 9 for a.\n' | b'-1\n' | b'Let c(v) = -2*v**2 + 73*v + 41. Let d be c(37). Solve -l = d*a + 6, -a - l - 3*l = 9 for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g = 208 + -389. Let u = -176 - g. Solve -t = -2*t + 1, 2*o - t + u = 0 for o.\n' | b'-2\n' | b'Let g = 208 + -389. Let u = -176 - g. Solve -t = -2*t + 1, 2*o - t + u = 0 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 4*a - 20 = 8. Let b = -3 + a. Solve -4*t + 20 = b*m, 4*m + 4*t + t - 24 = 0 for m.\n' | b'1\n' | b'Suppose 4*a - 20 = 8. Let b = -3 + a. Solve -4*t + 20 = b*m, 4*m + 4*t + t - 24 = 0 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (b**(-1))**(1/13)*(b/(b*b**4))**(-36) assuming b is positive.\n' | b'b**(1871/13)\n' | b'Simplify (b**(-1))**(1/13)*(b/(b*b**4))**(-36) assuming b is positive.\n' | b'b**(1871/13)\n' | deepmind/math_dataset |
b'Let g(u) be the second derivative of -17*u**8/56 - u**5/20 + 29*u**4/12 + 5*u. Find the third derivative of g(i) wrt i.\n' | b'-2040*i**3 - 6\n' | b'Let g(u) be the second derivative of -17*u**8/56 - u**5/20 + 29*u**4/12 + 5*u. Find the third derivative of g(i) wrt i.\n' | b'-2040*i**3 - 6\n' | deepmind/math_dataset |
b'What is the third derivative of 38*v**2 - 1254*v**3 - 404*v**3 - 43*v - 2326*v**3 - 2446*v**3 + 399*v**3 wrt v?\n' | b'-36186\n' | b'What is the third derivative of 38*v**2 - 1254*v**3 - 404*v**3 - 43*v - 2326*v**3 - 2446*v**3 + 399*v**3 wrt v?\n' | b'-36186\n' | deepmind/math_dataset |
b'Four letters picked without replacement from phddrrfdidrh. Give prob of sequence hdhr.\n' | b'1/495\n' | b'Four letters picked without replacement from phddrrfdidrh. Give prob of sequence hdhr.\n' | b'1/495\n' | deepmind/math_dataset |
b'Let d be (-831)/18 + 1/6. Let g = d + 28. Let l be (-21)/14 + g/(-4). Solve 3*m = l*f + 9, f + 2*f + 9 = -m for m.\n' | b'0\n' | b'Let d be (-831)/18 + 1/6. Let g = d + 28. Let l be (-21)/14 + g/(-4). Solve 3*m = l*f + 9, f + 2*f + 9 = -m for m.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((k**(2/3)/k)**(-47)*(k*k/(k/(k*k**(-6/5))))/(k/(k*k**6/k)))**(-11) assuming k is positive.\n' | b'k**(-3542/15)\n' | b'Simplify ((k**(2/3)/k)**(-47)*(k*k/(k/(k*k**(-6/5))))/(k/(k*k**6/k)))**(-11) assuming k is positive.\n' | b'k**(-3542/15)\n' | deepmind/math_dataset |
b'Let p(y) = 5*y**2 + 27*y + 25. Let x(t) be the second derivative of t**4/12 + 5*t**3/6 + 5*t**2/2 + 10*t + 1. Let h(z) = -2*p(z) + 11*x(z). Give h(0).\n' | b'5\n' | b'Let p(y) = 5*y**2 + 27*y + 25. Let x(t) be the second derivative of t**4/12 + 5*t**3/6 + 5*t**2/2 + 10*t + 1. Let h(z) = -2*p(z) + 11*x(z). Give h(0).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 m and 1 b when three letters picked without replacement from bbmkmkbkmkmbmkmmkk?\n' | b'7/68\n' | b'What is prob of picking 2 m and 1 b when three letters picked without replacement from bbmkmkbkmkmbmkmmkk?\n' | b'7/68\n' | deepmind/math_dataset |
b'Let w(x) = -2*x + 6. Suppose -3*d = 2*d - 100. Suppose -5*p = -p - d. Let a be w(p). Let h(z) = 3*z + 4. Give h(a).\n' | b'-8\n' | b'Let w(x) = -2*x + 6. Suppose -3*d = 2*d - 100. Suppose -5*p = -p - d. Let a be w(p). Let h(z) = 3*z + 4. Give h(a).\n' | b'-8\n' | deepmind/math_dataset |
b'Let p(a) be the third derivative of a**7/35 + 2*a**3/3 - 5*a**2. Differentiate p(y) wrt y.\n' | b'24*y**3\n' | b'Let p(a) be the third derivative of a**7/35 + 2*a**3/3 - 5*a**2. Differentiate p(y) wrt y.\n' | b'24*y**3\n' | deepmind/math_dataset |
b'Simplify (((n**(9/7))**1)**(-28))**(-11) assuming n is positive.\n' | b'n**396\n' | b'Simplify (((n**(9/7))**1)**(-28))**(-11) assuming n is positive.\n' | b'n**396\n' | deepmind/math_dataset |
b'Simplify ((l*l/(l**(-1)*l))/l)**34*(l**(-1/2))**(-22) assuming l is positive.\n' | b'l**45\n' | b'Simplify ((l*l/(l**(-1)*l))/l)**34*(l**(-1/2))**(-22) assuming l is positive.\n' | b'l**45\n' | deepmind/math_dataset |
b'Suppose 5*k - 9*k + 48 = 0. Suppose 7*j - 4*j = k. What is the second derivative of 5*o + j*o**2 - 7*o**2 - 7*o**2 wrt o?\n' | b'-20\n' | b'Suppose 5*k - 9*k + 48 = 0. Suppose 7*j - 4*j = k. What is the second derivative of 5*o + j*o**2 - 7*o**2 - 7*o**2 wrt o?\n' | b'-20\n' | deepmind/math_dataset |
b'Let d(m) = -m**2 - 17*m. Let w be d(-15). Let s = -14 + w. Let k = s - 11. Solve y - 19 = 5*z + 4, k*y - z + 5 = 0 for y.\n' | b'-2\n' | b'Let d(m) = -m**2 - 17*m. Let w be d(-15). Let s = -14 + w. Let k = s - 11. Solve y - 19 = 5*z + 4, k*y - z + 5 = 0 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m = 1 + 2. Suppose -2 = -4*k - 2*f, 3*k = -34*f + 37*f + 24. Suppose 0*t = -3*t. Solve m*l = -3, 2*z = -t*z - k*l + 1 for z.\n' | b'2\n' | b'Let m = 1 + 2. Suppose -2 = -4*k - 2*f, 3*k = -34*f + 37*f + 24. Suppose 0*t = -3*t. Solve m*l = -3, 2*z = -t*z - k*l + 1 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(z) = z. Let l(i) be the first derivative of -7*i**2/2 + i + 2. Let v(s) = -6*g(s) - l(s). What is v(2)?\n' | b'1\n' | b'Let g(z) = z. Let l(i) be the first derivative of -7*i**2/2 + i + 2. Let v(s) = -6*g(s) - l(s). What is v(2)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from chhhcchhhkkkch?\n' | b'1/364\n' | b'What is prob of picking 3 k when three letters picked without replacement from chhhcchhhkkkch?\n' | b'1/364\n' | deepmind/math_dataset |
b'Let l(d) be the third derivative of -31*d**7/70 - 155*d**3/6 + d**2 + 106*d. Find the first derivative of l(k) wrt k.\n' | b'-372*k**3\n' | b'Let l(d) be the third derivative of -31*d**7/70 - 155*d**3/6 + d**2 + 106*d. Find the first derivative of l(k) wrt k.\n' | b'-372*k**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from etstseesssseeesseee. What is prob of sequence ett?\n' | b'1/323\n' | b'Three letters picked without replacement from etstseesssseeesseee. What is prob of sequence ett?\n' | b'1/323\n' | deepmind/math_dataset |
b'Let i(w) = -w + 5. Let y be (-4)/(-6) + 39/9. Let o be i(y). Let p(v) = 6*v - 3. Let s be p(2). Solve o = c - 5*z - s, -3*z = 5 + 1 for c.\n' | b'-1\n' | b'Let i(w) = -w + 5. Let y be (-4)/(-6) + 39/9. Let o be i(y). Let p(v) = 6*v - 3. Let s be p(2). Solve o = c - 5*z - s, -3*z = 5 + 1 for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify y**(-5)/y**19 assuming y is positive.\n' | b'y**(-24)\n' | b'Simplify y**(-5)/y**19 assuming y is positive.\n' | b'y**(-24)\n' | deepmind/math_dataset |
b'Let d be 36/15*(-25)/(-2). Let g be ((-24)/(-30))/((-4)/d). Let i(f) = -f - 7. Determine i(g).\n' | b'-1\n' | b'Let d be 36/15*(-25)/(-2). Let g be ((-24)/(-30))/((-4)/d). Let i(f) = -f - 7. Determine i(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, k: 2, x: 2, a: 1, m: 1}. Give prob of sequence mxa.\n' | b'1/168\n' | b'Three letters picked without replacement from {y: 2, k: 2, x: 2, a: 1, m: 1}. Give prob of sequence mxa.\n' | b'1/168\n' | deepmind/math_dataset |
b'Let y(k) = -4*k + 6. Let c be y(4). Let t = 22 + c. Let i be (2/6)/(2/t). Let a(f) = f**2 + f + 2. Calculate a(i).\n' | b'8\n' | b'Let y(k) = -4*k + 6. Let c be y(4). Let t = 22 + c. Let i be (2/6)/(2/t). Let a(f) = f**2 + f + 2. Calculate a(i).\n' | b'8\n' | deepmind/math_dataset |
b'Let c(f) = f**2 - 6*f + 2. Suppose v - 20 = -5*z, -3*v - v = -3*z + 35. Determine c(z).\n' | b'-3\n' | b'Let c(f) = f**2 - 6*f + 2. Suppose v - 20 = -5*z, -3*v - v = -3*z + 35. Determine c(z).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from hhggghgw.\n' | b'3/14\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from hhggghgw.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let w = 35 + -34. Let j(z) be the first derivative of z**4/2 - 2*z**3/3 + z + 2. What is j(w)?\n' | b'1\n' | b'Let w = 35 + -34. Let j(z) be the first derivative of z**4/2 - 2*z**3/3 + z + 2. What is j(w)?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from coccccccccocii. Give prob of picking 4 c.\n' | b'30/143\n' | b'Four letters picked without replacement from coccccccccocii. Give prob of picking 4 c.\n' | b'30/143\n' | deepmind/math_dataset |
b'Let w(d) = -d**3 - 23*d**2 + 22*d - 30. Let s(h) = h**2 + 450*h - 5095. Let y be s(11). Calculate w(y).\n' | b'18\n' | b'Let w(d) = -d**3 - 23*d**2 + 22*d - 30. Let s(h) = h**2 + 450*h - 5095. Let y be s(11). Calculate w(y).\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhhn when four letters picked without replacement from {n: 7, h: 4}.\n' | b'7/330\n' | b'Calculate prob of sequence hhhn when four letters picked without replacement from {n: 7, h: 4}.\n' | b'7/330\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, x: 2}. Give prob of picking 1 x and 1 z.\n' | b'2/3\n' | b'Two letters picked without replacement from {z: 2, x: 2}. Give prob of picking 1 x and 1 z.\n' | b'2/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from urdudggggrudr. What is prob of picking 3 d and 1 g?\n' | b'4/715\n' | b'Four letters picked without replacement from urdudggggrudr. What is prob of picking 3 d and 1 g?\n' | b'4/715\n' | deepmind/math_dataset |
b'Let l(w) = w**2 + 6*w + 3. Let k be l(-5). Let c = k - -5. Solve 0 = -c*g - 5*b + 5, g + 4*g = -4*b - 9 for g.\n' | b'-5\n' | b'Let l(w) = w**2 + 6*w + 3. Let k be l(-5). Let c = k - -5. Solve 0 = -c*g - 5*b + 5, g + 4*g = -4*b - 9 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 u when two letters picked without replacement from uuuoouuuuuuuuuuuuuu?\n' | b'34/171\n' | b'What is prob of picking 1 o and 1 u when two letters picked without replacement from uuuoouuuuuuuuuuuuuu?\n' | b'34/171\n' | deepmind/math_dataset |
b'Simplify (z/(z/z**(-5/6))*z*z**(2/35)/z)**(-6/13) assuming z is positive.\n' | b'z**(163/455)\n' | b'Simplify (z/(z/z**(-5/6))*z*z**(2/35)/z)**(-6/13) assuming z is positive.\n' | b'z**(163/455)\n' | deepmind/math_dataset |
b'Let w(x) = -9*x + 0 - 10*x - 8. Let f(u) = -37*u - 16. Suppose -3*q + 31 = 4*v, -3*q + 2*v + 32 = 7*v. Let h(o) = q*w(o) - 4*f(o). Differentiate h(r) wrt r.\n' | b'-23\n' | b'Let w(x) = -9*x + 0 - 10*x - 8. Let f(u) = -37*u - 16. Suppose -3*q + 31 = 4*v, -3*q + 2*v + 32 = 7*v. Let h(o) = q*w(o) - 4*f(o). Differentiate h(r) wrt r.\n' | b'-23\n' | deepmind/math_dataset |
b'Let i be ((-10)/(-3))/((-6)/(-9)). Suppose 3*c = c + 8. Let s(t) = -3*t - t**3 - c*t**2 + 5 - i + 0. Determine s(-2).\n' | b'-2\n' | b'Let i be ((-10)/(-3))/((-6)/(-9)). Suppose 3*c = c + 8. Let s(t) = -3*t - t**3 - c*t**2 + 5 - i + 0. Determine s(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(z) = -59*z**3 + 4*z**2 + 4*z + 7. Let i(j) = j**2 + j. Let c(o) = 4*i(o) - q(o). What is the first derivative of c(r) wrt r?\n' | b'177*r**2\n' | b'Let q(z) = -59*z**3 + 4*z**2 + 4*z + 7. Let i(j) = j**2 + j. Let c(o) = 4*i(o) - q(o). What is the first derivative of c(r) wrt r?\n' | b'177*r**2\n' | deepmind/math_dataset |
b'Let t be 65/55 + (-2)/11. Let w be (t - 2)*(-8)/2. Solve m = w*g - 15, -m = -2*g - 4*m + 25 for g.\n' | b'5\n' | b'Let t be 65/55 + (-2)/11. Let w be (t - 2)*(-8)/2. Solve m = w*g - 15, -m = -2*g - 4*m + 25 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(z) = 30*z**2 - 17*z + 56. Let s = 110 - 116. Let u(v) = -10*v**2 + 6*v - 19. Let a(w) = s*b(w) - 17*u(w). Find the first derivative of a(r) wrt r.\n' | b'-20*r\n' | b'Let b(z) = 30*z**2 - 17*z + 56. Let s = 110 - 116. Let u(v) = -10*v**2 + 6*v - 19. Let a(w) = s*b(w) - 17*u(w). Find the first derivative of a(r) wrt r.\n' | b'-20*r\n' | deepmind/math_dataset |
b'Let u(a) be the third derivative of 0 - 53/12*a**4 + 8*a**3 + 0*a - 102*a**2. Differentiate u(y) with respect to y.\n' | b'-106\n' | b'Let u(a) be the third derivative of 0 - 53/12*a**4 + 8*a**3 + 0*a - 102*a**2. Differentiate u(y) with respect to y.\n' | b'-106\n' | deepmind/math_dataset |
b'Suppose 23*q - 22*q = 5. Find the third derivative of -2*a**2 - 23*a**5 - 22*a**q + 38*a**5 wrt a.\n' | b'-420*a**2\n' | b'Suppose 23*q - 22*q = 5. Find the third derivative of -2*a**2 - 23*a**5 - 22*a**q + 38*a**5 wrt a.\n' | b'-420*a**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 3, a: 1, g: 1, s: 6, z: 2, e: 2}. Give prob of picking 1 z and 1 e.\n' | b'4/105\n' | b'Two letters picked without replacement from {v: 3, a: 1, g: 1, s: 6, z: 2, e: 2}. Give prob of picking 1 z and 1 e.\n' | b'4/105\n' | deepmind/math_dataset |
b'What is prob of sequence qvv when three letters picked without replacement from sqvvsvvvvsvvsssss?\n' | b'7/510\n' | b'What is prob of sequence qvv when three letters picked without replacement from sqvvsvvvvsvvsssss?\n' | b'7/510\n' | deepmind/math_dataset |
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