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'Simplify (f**43)**(3/19)*(f*f**(-36/11))**27 assuming f is positive.\n' | b'f**(-11406/209)\n' | b'Simplify (f**43)**(3/19)*(f*f**(-36/11))**27 assuming f is positive.\n' | b'f**(-11406/209)\n' | deepmind/math_dataset |
b'Let s(k) be the second derivative of -31*k + 33/2*k**2 + 0 - 7/6*k**3 + 1/12*k**4. Find the first derivative of s(l) wrt l.\n' | b'2*l - 7\n' | b'Let s(k) be the second derivative of -31*k + 33/2*k**2 + 0 - 7/6*k**3 + 1/12*k**4. Find the first derivative of s(l) wrt l.\n' | b'2*l - 7\n' | deepmind/math_dataset |
b'Let w(y) = 3*y**2 + 29*y - 137. Let g(z) = 5*z**2 + 59*z - 275. Let h(u) = 4*g(u) - 7*w(u). Differentiate h(f) with respect to f.\n' | b'-2*f + 33\n' | b'Let w(y) = 3*y**2 + 29*y - 137. Let g(z) = 5*z**2 + 59*z - 275. Let h(u) = 4*g(u) - 7*w(u). Differentiate h(f) with respect to f.\n' | b'-2*f + 33\n' | deepmind/math_dataset |
b'Let w be 123/9 + 4/(-6). Let x be (-50)/(-2) - (-2)/(-3 - -2). Suppose w = 6*k - x. Solve 5*y = 5*o + 9 + k, -4*o = -y + 3 for y.\n' | b'3\n' | b'Let w be 123/9 + 4/(-6). Let x be (-50)/(-2) - (-2)/(-3 - -2). Suppose w = 6*k - x. Solve 5*y = 5*o + 9 + k, -4*o = -y + 3 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let u(f) be the third derivative of -f**5/60 - f**4/12 + f**3/2 + 2*f**2. Give u(-3).\n' | b'0\n' | b'Let u(f) be the third derivative of -f**5/60 - f**4/12 + f**3/2 + 2*f**2. Give u(-3).\n' | b'0\n' | deepmind/math_dataset |
b'Let y(i) be the first derivative of 184 - 82*i + 199/2*i**2. Differentiate y(g) with respect to g.\n' | b'199\n' | b'Let y(i) be the first derivative of 184 - 82*i + 199/2*i**2. Differentiate y(g) with respect to g.\n' | b'199\n' | deepmind/math_dataset |
b'Let d(a) = a**3 + a**2 - 14. Suppose -7*u + 2*u + 40 = 0. Let o be (u - 18)*(-1 - 1). Let p be 0*(-3 + o/8). Determine d(p).\n' | b'-14\n' | b'Let d(a) = a**3 + a**2 - 14. Suppose -7*u + 2*u + 40 = 0. Let o be (u - 18)*(-1 - 1). Let p be 0*(-3 + o/8). Determine d(p).\n' | b'-14\n' | deepmind/math_dataset |
b'Let z(l) = l**2 - 8. Suppose -8 = -4*j, -8 = -11*p + 10*p - 4*j. Determine z(p).\n' | b'-8\n' | b'Let z(l) = l**2 - 8. Suppose -8 = -4*j, -8 = -11*p + 10*p - 4*j. Determine z(p).\n' | b'-8\n' | deepmind/math_dataset |
b'What is the first derivative of 41*p + 7 + 83*p - 54*p wrt p?\n' | b'70\n' | b'What is the first derivative of 41*p + 7 + 83*p - 54*p wrt p?\n' | b'70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, q: 1, d: 6, t: 4, r: 1}. Give prob of picking 1 d and 1 r.\n' | b'1/13\n' | b'Two letters picked without replacement from {f: 1, q: 1, d: 6, t: 4, r: 1}. Give prob of picking 1 d and 1 r.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let z(h) = -h**2 - 10*h + 1. Let j be (4/10 - 36/(-10)) + -2. Let f(t) = -8*t - t**j - 3 - 16 + t. Let q be f(-3). Give z(q).\n' | b'22\n' | b'Let z(h) = -h**2 - 10*h + 1. Let j be (4/10 - 36/(-10)) + -2. Let f(t) = -8*t - t**j - 3 - 16 + t. Let q be f(-3). Give z(q).\n' | b'22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ptkkt. Give prob of picking 2 t and 2 k.\n' | b'1/5\n' | b'Four letters picked without replacement from ptkkt. Give prob of picking 2 t and 2 k.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of sequence bbbb when four letters picked without replacement from {b: 8, h: 5}?\n' | b'14/143\n' | b'What is prob of sequence bbbb when four letters picked without replacement from {b: 8, h: 5}?\n' | b'14/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvtttttttt. What is prob of picking 1 v and 3 t?\n' | b'28/55\n' | b'Four letters picked without replacement from vvvtttttttt. What is prob of picking 1 v and 3 t?\n' | b'28/55\n' | deepmind/math_dataset |
b'Let h(y) = y + 1. Let o(x) = x + 2. Let a(w) = -2*h(w) + o(w). Determine a(2).\n' | b'-2\n' | b'Let h(y) = y + 1. Let o(x) = x + 2. Let a(w) = -2*h(w) + o(w). Determine a(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(k) be the first derivative of 3*k**2/2 + 3*k - 2. Let f(b) = 9*b + 9. Let j(m) = 11*a(m) - 4*f(m). Differentiate j(s) wrt s.\n' | b'-3\n' | b'Let a(k) be the first derivative of 3*k**2/2 + 3*k - 2. Let f(b) = 9*b + 9. Let j(m) = 11*a(m) - 4*f(m). Differentiate j(s) wrt s.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from swwwwwtwkkkwcktctk. Give prob of picking 1 t and 1 w.\n' | b'7/51\n' | b'Two letters picked without replacement from swwwwwtwkkkwcktctk. Give prob of picking 1 t and 1 w.\n' | b'7/51\n' | deepmind/math_dataset |
b'Let d(n) = -n**3 - 9*n**2 - 7*n + 10. Let m be 2 - 2 - (3 + 5). Let c be d(m). Let l(r) = -2*r**3 + 3*r**2 - r + 1. Calculate l(c).\n' | b'-5\n' | b'Let d(n) = -n**3 - 9*n**2 - 7*n + 10. Let m be 2 - 2 - (3 + 5). Let c be d(m). Let l(r) = -2*r**3 + 3*r**2 - r + 1. Calculate l(c).\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(h) be the second derivative of 6*h + 0*h**4 + 0*h**6 + 0*h**5 - 1/7*h**7 + 0 + 0*h**2 - 1/6*h**3. Find the second derivative of l(p) wrt p.\n' | b'-120*p**3\n' | b'Let l(h) be the second derivative of 6*h + 0*h**4 + 0*h**6 + 0*h**5 - 1/7*h**7 + 0 + 0*h**2 - 1/6*h**3. Find the second derivative of l(p) wrt p.\n' | b'-120*p**3\n' | deepmind/math_dataset |
b'Suppose 3*g = g + 4. Suppose c = -g*c - 5*y + 2, -4*c + 4*y = -24. Solve -2 = -4*m - 2*r, 2*m - 3*m + 14 = -c*r for m.\n' | b'2\n' | b'Suppose 3*g = g + 4. Suppose c = -g*c - 5*y + 2, -4*c + 4*y = -24. Solve -2 = -4*m - 2*r, 2*m - 3*m + 14 = -c*r for m.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (z/z**(-1/5))**(-21/5)/(z/(z*((z/(z/z**(-2)))/z)/z*z)*z/(z**(2/15)/z)) assuming z is positive.\n' | b'z**(-743/75)\n' | b'Simplify (z/z**(-1/5))**(-21/5)/(z/(z*((z/(z/z**(-2)))/z)/z*z)*z/(z**(2/15)/z)) assuming z is positive.\n' | b'z**(-743/75)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 2 t when three letters picked without replacement from tzzztzbbb.\n' | b'1/21\n' | b'Calculate prob of picking 1 z and 2 t when three letters picked without replacement from tzzztzbbb.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {o: 2, u: 3, m: 1, n: 3, i: 1}.\n' | b'1/45\n' | b'Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {o: 2, u: 3, m: 1, n: 3, i: 1}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Calculate prob of sequence ewe when three letters picked without replacement from {e: 2, w: 2}.\n' | b'1/6\n' | b'Calculate prob of sequence ewe when three letters picked without replacement from {e: 2, w: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dndiinvddviidvi. Give prob of sequence vinv.\n' | b'1/546\n' | b'Four letters picked without replacement from dndiinvddviidvi. Give prob of sequence vinv.\n' | b'1/546\n' | deepmind/math_dataset |
b'Suppose 5*k = -5*v + 20, 4*v = 3*k - k + 28. Suppose -v = u - 21. Solve -l - 7*r + 24 = -2*r, -5*l - 4*r + u = 0 for l.\n' | b'-1\n' | b'Suppose 5*k = -5*v + 20, 4*v = 3*k - k + 28. Suppose -v = u - 21. Solve -l - 7*r + 24 = -2*r, -5*l - 4*r + u = 0 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 3, j: 1, t: 5, e: 4, a: 1}. What is prob of sequence eu?\n' | b'6/91\n' | b'Two letters picked without replacement from {u: 3, j: 1, t: 5, e: 4, a: 1}. What is prob of sequence eu?\n' | b'6/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence tjt when three letters picked without replacement from ccjjocctttjjtjccjtct.\n' | b'1/38\n' | b'Calculate prob of sequence tjt when three letters picked without replacement from ccjjocctttjjtjccjtct.\n' | b'1/38\n' | deepmind/math_dataset |
b'What is prob of sequence msx when three letters picked without replacement from {e: 5, x: 5, m: 2, s: 7}?\n' | b'35/2907\n' | b'What is prob of sequence msx when three letters picked without replacement from {e: 5, x: 5, m: 2, s: 7}?\n' | b'35/2907\n' | deepmind/math_dataset |
b'Suppose 0 = 4*p - 4*h, 2*p + 3*h = 6*p. Suppose 5*s = -20 + 40. Solve 2*x + 4*v - 2 = -p*v, 5 = -s*x + v for x.\n' | b'-1\n' | b'Suppose 0 = 4*p - 4*h, 2*p + 3*h = 6*p. Suppose 5*s = -20 + 40. Solve 2*x + 4*v - 2 = -p*v, 5 = -s*x + v for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from njpqnmmt. Give prob of picking 1 n and 1 t.\n' | b'1/14\n' | b'Two letters picked without replacement from njpqnmmt. Give prob of picking 1 n and 1 t.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify f**1/(f/(f/f**0))*((f/(f/f**(-13/6))*f)/f)/(f/(f/(f/((f/(f**(-1/41)/f))/f)))*f) assuming f is positive.\n' | b'f**(-527/246)\n' | b'Simplify f**1/(f/(f/f**0))*((f/(f/f**(-13/6))*f)/f)/(f/(f/(f/((f/(f**(-1/41)/f))/f)))*f) assuming f is positive.\n' | b'f**(-527/246)\n' | deepmind/math_dataset |
b'Calculate prob of sequence oyo when three letters picked without replacement from {o: 4, u: 1, f: 2, y: 1}.\n' | b'1/28\n' | b'Calculate prob of sequence oyo when three letters picked without replacement from {o: 4, u: 1, f: 2, y: 1}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let y(f) = -167*f**3 + 3*f**2 - 26*f - 24. Let d(l) = -334*l**3 + 6*l**2 - 57*l - 48. Let z(h) = 6*d(h) - 13*y(h). Find the second derivative of z(c) wrt c.\n' | b'1002*c - 6\n' | b'Let y(f) = -167*f**3 + 3*f**2 - 26*f - 24. Let d(l) = -334*l**3 + 6*l**2 - 57*l - 48. Let z(h) = 6*d(h) - 13*y(h). Find the second derivative of z(c) wrt c.\n' | b'1002*c - 6\n' | deepmind/math_dataset |
b'Calculate prob of sequence jg when two letters picked without replacement from {j: 5, u: 2, e: 4, z: 2, i: 1, g: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence jg when two letters picked without replacement from {j: 5, u: 2, e: 4, z: 2, i: 1, g: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let l be 20*(-7)/(-56)*4. What is the third derivative of -64*n**2 + n + l - 4*n - 10 - 260*n**3 + 94*n**3 wrt n?\n' | b'-996\n' | b'Let l be 20*(-7)/(-56)*4. What is the third derivative of -64*n**2 + n + l - 4*n - 10 - 260*n**3 + 94*n**3 wrt n?\n' | b'-996\n' | deepmind/math_dataset |
b'Suppose 20*d - 28 = 6*d. Find the third derivative of 5*v**d + 13 + 70*v**4 - 52*v**4 + 0*v**2 wrt v.\n' | b'432*v\n' | b'Suppose 20*d - 28 = 6*d. Find the third derivative of 5*v**d + 13 + 70*v**4 - 52*v**4 + 0*v**2 wrt v.\n' | b'432*v\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, t: 3, z: 8, p: 1, o: 2, y: 3}. Give prob of picking 1 t and 1 u.\n' | b'1/51\n' | b'Two letters picked without replacement from {u: 1, t: 3, z: 8, p: 1, o: 2, y: 3}. Give prob of picking 1 t and 1 u.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let v(h) = -23*h**2 - 6*h - 19. Let l be v(-3). Let b = -203 - l. Solve 2*d = 2*p + 16, d + 6 - b = -2*p for d.\n' | b'5\n' | b'Let v(h) = -23*h**2 - 6*h - 19. Let l be v(-3). Let b = -203 - l. Solve 2*d = 2*p + 16, d + 6 - b = -2*p for d.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from iiiiiiiisiisssiiii.\n' | b'2/51\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from iiiiiiiisiisssiiii.\n' | b'2/51\n' | deepmind/math_dataset |
b'Suppose -44 = -10*t - 14. Solve x + o = -0*o + t, 4*o - 12 = 2*x for x.\n' | b'0\n' | b'Suppose -44 = -10*t - 14. Solve x + o = -0*o + t, 4*o - 12 = 2*x for x.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*d - d + 9 = 0. Suppose 0*r = d*r + 12. Let h(f) = -f**2 - 4*f - 1. Calculate h(r).\n' | b'-1\n' | b'Suppose -2*d - d + 9 = 0. Suppose 0*r = d*r + 12. Let h(f) = -f**2 - 4*f - 1. Calculate h(r).\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(r) be the second derivative of 3*r**5/10 - 169*r**4/12 - r**3/6 - 1680*r**2 - 3576*r - 2. What is the second derivative of g(h) wrt h?\n' | b'36*h - 338\n' | b'Let g(r) be the second derivative of 3*r**5/10 - 169*r**4/12 - r**3/6 - 1680*r**2 - 3576*r - 2. What is the second derivative of g(h) wrt h?\n' | b'36*h - 338\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwwwwwwwww. What is prob of picking 3 w?\n' | b'1\n' | b'Three letters picked without replacement from wwwwwwwwww. What is prob of picking 3 w?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence fpp when three letters picked without replacement from pppfpff?\n' | b'6/35\n' | b'What is prob of sequence fpp when three letters picked without replacement from pppfpff?\n' | b'6/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g, 1 s, and 2 a when four letters picked without replacement from gsaga.\n' | b'2/5\n' | b'Calculate prob of picking 1 g, 1 s, and 2 a when four letters picked without replacement from gsaga.\n' | b'2/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kkykkykkkyk. What is prob of picking 1 y and 2 k?\n' | b'28/55\n' | b'Three letters picked without replacement from kkykkykkkyk. What is prob of picking 1 y and 2 k?\n' | b'28/55\n' | deepmind/math_dataset |
b'Simplify (z**(-8)*z*z**(-1/9))**(1/8) assuming z is positive.\n' | b'z**(-8/9)\n' | b'Simplify (z**(-8)*z*z**(-1/9))**(1/8) assuming z is positive.\n' | b'z**(-8/9)\n' | deepmind/math_dataset |
b'Suppose -3*w + 1 + 8 = -3*q, -3*w = -4*q - 7. What is the second derivative of 15*z**5 + 93*z - 24*z**w - 23*z**5 - 4*z**5 wrt z?\n' | b'-720*z**3\n' | b'Suppose -3*w + 1 + 8 = -3*q, -3*w = -4*q - 7. What is the second derivative of 15*z**5 + 93*z - 24*z**w - 23*z**5 - 4*z**5 wrt z?\n' | b'-720*z**3\n' | deepmind/math_dataset |
b'Suppose -2*g - g + 4*w + 3 = 0, -g + 3*w = 4. Suppose -81 - 9 = -g*d. Suppose r = -0 + 8. Solve 0 = h + 5*i + 10 + d, i = -h - r for h.\n' | b'-3\n' | b'Suppose -2*g - g + 4*w + 3 = 0, -g + 3*w = 4. Suppose -81 - 9 = -g*d. Suppose r = -0 + 8. Solve 0 = h + 5*i + 10 + d, i = -h - r for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k be (-2 - -1) + 0 + (-7 - -11). What is the third derivative of -2*y**4 - y**3 + 3*y**2 + 24*y**2 + y**k wrt y?\n' | b'-48*y\n' | b'Let k be (-2 - -1) + 0 + (-7 - -11). What is the third derivative of -2*y**4 - y**3 + 3*y**2 + 24*y**2 + y**k wrt y?\n' | b'-48*y\n' | deepmind/math_dataset |
b'Let z(t) = -19*t**3 - 4*t**2 + 5*t + 2. Let y(d) = d**3 + d**2 - d + 1. Let x(v) = 4*y(v) + z(v). What is the first derivative of x(p) wrt p?\n' | b'-45*p**2 + 1\n' | b'Let z(t) = -19*t**3 - 4*t**2 + 5*t + 2. Let y(d) = d**3 + d**2 - d + 1. Let x(v) = 4*y(v) + z(v). What is the first derivative of x(p) wrt p?\n' | b'-45*p**2 + 1\n' | deepmind/math_dataset |
b'Let g = -6 - -2. Let k be 2 - (g/2 - -2). What is the third derivative of 4*h**2 - 6*h**2 + h**k + 2*h**5 wrt h?\n' | b'120*h**2\n' | b'Let g = -6 - -2. Let k be 2 - (g/2 - -2). What is the third derivative of 4*h**2 - 6*h**2 + h**k + 2*h**5 wrt h?\n' | b'120*h**2\n' | deepmind/math_dataset |
b'Let r(g) = -17 - 13 - 20 + 49 - 6*g. Determine r(-1).\n' | b'5\n' | b'Let r(g) = -17 - 13 - 20 + 49 - 6*g. Determine r(-1).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -4*s + 23 = m, 4*m + 0*m = -s + 17. Let i = s - 2. Find the third derivative of -i + 6*b**2 + 5*b**4 + 3 wrt b.\n' | b'120*b\n' | b'Suppose -4*s + 23 = m, 4*m + 0*m = -s + 17. Let i = s - 2. Find the third derivative of -i + 6*b**2 + 5*b**4 + 3 wrt b.\n' | b'120*b\n' | deepmind/math_dataset |
b'Simplify u**8/(u*u*(u**(-2/21)*u)/u)*(u**(-8)/u)/((u*(u/((u/(u**(2/13)*u))/u)*u)/u*u)/u)*((u*u**(-3/7))/u**0)**21 assuming u is positive.\n' | b'u**(1622/273)\n' | b'Simplify u**8/(u*u*(u**(-2/21)*u)/u)*(u**(-8)/u)/((u*(u/((u/(u**(2/13)*u))/u)*u)/u*u)/u)*((u*u**(-3/7))/u**0)**21 assuming u is positive.\n' | b'u**(1622/273)\n' | deepmind/math_dataset |
b'Simplify c**(-3/5)*c/((c*(c*c/c**(-1/24)*c)/c*c*c)/c)*c**16*c*c**5 assuming c is positive.\n' | b'c**(2203/120)\n' | b'Simplify c**(-3/5)*c/((c*(c*c/c**(-1/24)*c)/c*c*c)/c)*c**16*c*c**5 assuming c is positive.\n' | b'c**(2203/120)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 i when two letters picked without replacement from viitrzd.\n' | b'2/21\n' | b'Calculate prob of picking 1 t and 1 i when two letters picked without replacement from viitrzd.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let a(w) be the first derivative of -w**4/4 - 5*w**3/3 + 5*w**2/2 + 7*w + 1. Suppose -46 + 3176 = 10*y. Let v = 307 - y. What is a(v)?\n' | b'13\n' | b'Let a(w) be the first derivative of -w**4/4 - 5*w**3/3 + 5*w**2/2 + 7*w + 1. Suppose -46 + 3176 = 10*y. Let v = 307 - y. What is a(v)?\n' | b'13\n' | deepmind/math_dataset |
b'Let x(a) = 2*a**3 - 21*a**2 - 8*a - 31. Let p be x(11). Let m(z) = z**3 + 2*z**p - 1 + z**2 - 2 + 2*z**2 + 4*z. What is m(-4)?\n' | b'-3\n' | b'Let x(a) = 2*a**3 - 21*a**2 - 8*a - 31. Let p be x(11). Let m(z) = z**3 + 2*z**p - 1 + z**2 - 2 + 2*z**2 + 4*z. What is m(-4)?\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 5, r: 3, t: 1, q: 5, m: 4}. Give prob of sequence qm.\n' | b'10/153\n' | b'Two letters picked without replacement from {e: 5, r: 3, t: 1, q: 5, m: 4}. Give prob of sequence qm.\n' | b'10/153\n' | deepmind/math_dataset |
b'Let m(d) = 0 + 2277*d - 5 - 2227*d + 6. Give m(1).\n' | b'51\n' | b'Let m(d) = 0 + 2277*d - 5 - 2227*d + 6. Give m(1).\n' | b'51\n' | deepmind/math_dataset |
b'Let d = 104 + -99. Suppose d*m - 30 = 5*q, -3*m = -0 - 3. Let t(c) = -2*c - 3. Determine t(q).\n' | b'7\n' | b'Let d = 104 + -99. Suppose d*m - 30 = 5*q, -3*m = -0 - 3. Let t(c) = -2*c - 3. Determine t(q).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 w when two letters picked without replacement from jwjww?\n' | b'3/5\n' | b'What is prob of picking 1 j and 1 w when two letters picked without replacement from jwjww?\n' | b'3/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gtwevveegdwgvteeve. Give prob of sequence dt.\n' | b'1/153\n' | b'Two letters picked without replacement from gtwevveegdwgvteeve. Give prob of sequence dt.\n' | b'1/153\n' | deepmind/math_dataset |
b'Let c be (6/(-8))/((-5)/(-120)*-1). Let v(k) = 4*k - 61. Determine v(c).\n' | b'11\n' | b'Let c be (6/(-8))/((-5)/(-120)*-1). Let v(k) = 4*k - 61. Determine v(c).\n' | b'11\n' | deepmind/math_dataset |
b'Let c(l) = -3*l + 1. Let i be c(-1). Solve -3*x + 2*d - 7 = -i, -12 = 4*d for x.\n' | b'-3\n' | b'Let c(l) = -3*l + 1. Let i be c(-1). Solve -3*x + 2*d - 7 = -i, -12 = 4*d for x.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 3 c when four letters picked without replacement from {l: 4, x: 7, c: 3}?\n' | b'1/143\n' | b'What is prob of picking 1 x and 3 c when four letters picked without replacement from {l: 4, x: 7, c: 3}?\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify (j**(-3/5))**(1/61)*(j*(j*j**(-7))/j)/(((j*j**(2/7)/j*j)/j)/j*j) assuming j is positive.\n' | b'j**(-13441/2135)\n' | b'Simplify (j**(-3/5))**(1/61)*(j*(j*j**(-7))/j)/(((j*j**(2/7)/j*j)/j)/j*j) assuming j is positive.\n' | b'j**(-13441/2135)\n' | deepmind/math_dataset |
b'Simplify w**45*w*w**(2/11)*w*(w/(w*w**(-28)))/(w/w**(-6/17)) assuming w is positive.\n' | b'w**(13806/187)\n' | b'Simplify w**45*w*w**(2/11)*w*(w/(w*w**(-28)))/(w/w**(-6/17)) assuming w is positive.\n' | b'w**(13806/187)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pttpjpptwptpttttjptp. Give prob of picking 2 t.\n' | b'18/95\n' | b'Two letters picked without replacement from pttpjpptwptpttttjptp. Give prob of picking 2 t.\n' | b'18/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {e: 1, f: 1, h: 1, c: 2, x: 2, s: 1}.\n' | b'1/14\n' | b'Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {e: 1, f: 1, h: 1, c: 2, x: 2, s: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of sequence mbmb when four letters picked without replacement from mbmbbbmb?\n' | b'1/14\n' | b'What is prob of sequence mbmb when four letters picked without replacement from mbmbbbmb?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((a**(2/7)*a**(-1/2)*(a**(-1))**12)**(-9/8))**(17/4) assuming a is positive.\n' | b'a**(26163/448)\n' | b'Simplify ((a**(2/7)*a**(-1/2)*(a**(-1))**12)**(-9/8))**(17/4) assuming a is positive.\n' | b'a**(26163/448)\n' | deepmind/math_dataset |
b'Suppose 2 + 6 = -2*n - 2*l, 20 = -2*n - 5*l. Let v(o) be the third derivative of 0 + 1/3*o**3 + 5*o**2 + 1/6*o**4 + n*o. Differentiate v(k) with respect to k.\n' | b'4\n' | b'Suppose 2 + 6 = -2*n - 2*l, 20 = -2*n - 5*l. Let v(o) be the third derivative of 0 + 1/3*o**3 + 5*o**2 + 1/6*o**4 + n*o. Differentiate v(k) with respect to k.\n' | b'4\n' | deepmind/math_dataset |
b'Let z be 3*14/6 - 24*30/180. Let n(v) be the second derivative of 16*v + 0 + 11/6*v**z - 11*v**2. Find the first derivative of n(b) wrt b.\n' | b'11\n' | b'Let z be 3*14/6 - 24*30/180. Let n(v) be the second derivative of 16*v + 0 + 11/6*v**z - 11*v**2. Find the first derivative of n(b) wrt b.\n' | b'11\n' | deepmind/math_dataset |
b'Let a(n) be the third derivative of n**10/240 + n**6/90 - 2*n**3/3 + 2*n**2. Let d(u) be the first derivative of a(u). Find the third derivative of d(w) wrt w.\n' | b'2520*w**3\n' | b'Let a(n) be the third derivative of n**10/240 + n**6/90 - 2*n**3/3 + 2*n**2. Let d(u) be the first derivative of a(u). Find the third derivative of d(w) wrt w.\n' | b'2520*w**3\n' | deepmind/math_dataset |
b'Let w = 732 - 738. Let z(l) = -l**3 - 5*l**2 + 3*l - 10. Give z(w).\n' | b'8\n' | b'Let w = 732 - 738. Let z(l) = -l**3 - 5*l**2 + 3*l - 10. Give z(w).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -45*d + 49*d + 184 = 0. Let q be (-3 + -1 - -1) + d. Let z = q + 51. Solve 2*g = 3*g - 2*v - 6, z*g = v for g.\n' | b'-2\n' | b'Suppose -45*d + 49*d + 184 = 0. Let q be (-3 + -1 - -1) + d. Let z = q + 51. Solve 2*g = 3*g - 2*v - 6, z*g = v for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0*h - 28 = 7*h. Let b(u) be the third derivative of -u**4/8 - u**3/2 - u**2. What is b(h)?\n' | b'9\n' | b'Suppose 0*h - 28 = 7*h. Let b(u) be the third derivative of -u**4/8 - u**3/2 - u**2. What is b(h)?\n' | b'9\n' | deepmind/math_dataset |
b'Let x(b) be the second derivative of b**10/30240 + b**6/360 + b**4/3 - 2*b. Let d(i) be the third derivative of x(i). Find the second derivative of d(f) wrt f.\n' | b'20*f**3\n' | b'Let x(b) be the second derivative of b**10/30240 + b**6/360 + b**4/3 - 2*b. Let d(i) be the third derivative of x(i). Find the second derivative of d(f) wrt f.\n' | b'20*f**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 2, s: 2, m: 3, l: 4}. Give prob of picking 2 s and 1 b.\n' | b'2/165\n' | b'Three letters picked without replacement from {b: 2, s: 2, m: 3, l: 4}. Give prob of picking 2 s and 1 b.\n' | b'2/165\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from wwxwxwxxxxxxw.\n' | b'14/39\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from wwxwxwxxxxxxw.\n' | b'14/39\n' | deepmind/math_dataset |
b'Let b be (0 - (-4)/(-10))*-5. Let h be -6*(-5)/(15/4). Solve a - b = 5*t, -2*t = 4*a - t - h for a.\n' | b'2\n' | b'Let b be (0 - (-4)/(-10))*-5. Let h be -6*(-5)/(15/4). Solve a - b = 5*t, -2*t = 4*a - t - h for a.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 6, v: 5, h: 2}?\n' | b'2/13\n' | b'What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 6, v: 5, h: 2}?\n' | b'2/13\n' | deepmind/math_dataset |
b'Simplify ((c**(1/3)/c**(-3/2))**(1/40))**7 assuming c is positive.\n' | b'c**(77/240)\n' | b'Simplify ((c**(1/3)/c**(-3/2))**(1/40))**7 assuming c is positive.\n' | b'c**(77/240)\n' | deepmind/math_dataset |
b'Let z = -3 - -3. Suppose 4*t + z*t = 0. Suppose -3*k + 5*k = t. Let i(y) = y + 4. What is i(k)?\n' | b'4\n' | b'Let z = -3 - -3. Suppose 4*t + z*t = 0. Suppose -3*k + 5*k = t. Let i(y) = y + 4. What is i(k)?\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, s: 3, o: 8, w: 2, z: 1, d: 1}. What is prob of sequence zod?\n' | b'1/612\n' | b'Three letters picked without replacement from {r: 3, s: 3, o: 8, w: 2, z: 1, d: 1}. What is prob of sequence zod?\n' | b'1/612\n' | deepmind/math_dataset |
b'Let b(r) = -5*r - 23. Suppose 10*o = -0*o - 2*o - 144. Give b(o).\n' | b'37\n' | b'Let b(r) = -5*r - 23. Suppose 10*o = -0*o - 2*o - 144. Give b(o).\n' | b'37\n' | deepmind/math_dataset |
b'Simplify (o**(-1/3))**(3/7)/(o**1/o)**(4/15)*o**4*o**1*o/((o*o**(-1/8))/o)*o**(2/9)*o assuming o is positive.\n' | b'o**(3631/504)\n' | b'Simplify (o**(-1/3))**(3/7)/(o**1/o)**(4/15)*o**4*o**1*o/((o*o**(-1/8))/o)*o**(2/9)*o assuming o is positive.\n' | b'o**(3631/504)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 2 o when three letters picked without replacement from ooggoogok.\n' | b'5/14\n' | b'Calculate prob of picking 1 g and 2 o when three letters picked without replacement from ooggoogok.\n' | b'5/14\n' | deepmind/math_dataset |
b'Suppose 0*l - 4*l - 36 = 0. Let n be (-19)/(-4) + l/(-36). What is the second derivative of 96 - 4*b - 96 - 3*b**n wrt b?\n' | b'-60*b**3\n' | b'Suppose 0*l - 4*l - 36 = 0. Let n be (-19)/(-4) + l/(-36). What is the second derivative of 96 - 4*b - 96 - 3*b**n wrt b?\n' | b'-60*b**3\n' | deepmind/math_dataset |
b'Simplify (j**7*j**(-12))**(-4/3) assuming j is positive.\n' | b'j**(20/3)\n' | b'Simplify (j**7*j**(-12))**(-4/3) assuming j is positive.\n' | b'j**(20/3)\n' | deepmind/math_dataset |
b'Simplify ((o**(-4)/(o/(((o/((o*(o**4/o)/o*o)/o))/o)/o)))/((o**(1/6)*o)/(o/(o/(o/((o*(o**(-4)/o)/o)/o))))))**(-2/27) assuming o is positive.\n' | b'o**(19/81)\n' | b'Simplify ((o**(-4)/(o/(((o/((o*(o**4/o)/o*o)/o))/o)/o)))/((o**(1/6)*o)/(o/(o/(o/((o*(o**(-4)/o)/o)/o))))))**(-2/27) assuming o is positive.\n' | b'o**(19/81)\n' | deepmind/math_dataset |
b'Let y be (-8)/(-2) - (-6 + 8). Let c be -1 - (3 - 4 - y). Suppose -4*t + 3*h + 6 = 0, -c*t + 14 = 2*t + h. Solve 0 = -4*a + 4*v, 8*v - t*v = 4*a for a.\n' | b'0\n' | b'Let y be (-8)/(-2) - (-6 + 8). Let c be -1 - (3 - 4 - y). Suppose -4*t + 3*h + 6 = 0, -c*t + 14 = 2*t + h. Solve 0 = -4*a + 4*v, 8*v - t*v = 4*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, j: 1}. What is prob of sequence mmm?\n' | b'1/4\n' | b'Three letters picked without replacement from {m: 3, j: 1}. What is prob of sequence mmm?\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 3 v when four letters picked without replacement from {x: 5, f: 3, q: 1, v: 9}?\n' | b'7/255\n' | b'What is prob of picking 1 q and 3 v when four letters picked without replacement from {x: 5, f: 3, q: 1, v: 9}?\n' | b'7/255\n' | deepmind/math_dataset |
b'Calculate prob of sequence oxy when three letters picked without replacement from {o: 5, e: 1, f: 2, x: 2, y: 2, s: 2}.\n' | b'5/546\n' | b'Calculate prob of sequence oxy when three letters picked without replacement from {o: 5, e: 1, f: 2, x: 2, y: 2, s: 2}.\n' | b'5/546\n' | deepmind/math_dataset |
b'Simplify h/h**(1/2)*h*h**(-5/2)*h assuming h is positive.\n' | b'1\n' | b'Simplify h/h**(1/2)*h*h**(-5/2)*h assuming h is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify h/h**(-7)*h**(-3/52)*h*h*h*h**(-21/8)*h*h*h/h**39 assuming h is positive.\n' | b'h**(-2879/104)\n' | b'Simplify h/h**(-7)*h**(-3/52)*h*h*h*h**(-21/8)*h*h*h/h**39 assuming h is positive.\n' | b'h**(-2879/104)\n' | deepmind/math_dataset |
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