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 d(h) = -h**3 + 41*h**2 + 48*h + 63. Let u be d(42). Let y be ((u/(-28))/(-9))/(1/4). Solve s + 4*c - 11 = 5, -2*s - y*c = -20 for s.\n' | b'0\n' | b'Let d(h) = -h**3 + 41*h**2 + 48*h + 63. Let u be d(42). Let y be ((u/(-28))/(-9))/(1/4). Solve s + 4*c - 11 = 5, -2*s - y*c = -20 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((n/(n/((n/(n*n**(-5/4)))/n*n)))/n*n*n**(-4))/(n**(1/2))**22 assuming n is positive.\n' | b'n**(-55/4)\n' | b'Simplify ((n/(n/((n/(n*n**(-5/4)))/n*n)))/n*n*n**(-4))/(n**(1/2))**22 assuming n is positive.\n' | b'n**(-55/4)\n' | deepmind/math_dataset |
b'Let p be (-2)/4 + 35/14. Let y = p + 0. Solve 0 = -2*a - 4*v + 8, 0 = a - 5*a + v - y for a.\n' | b'0\n' | b'Let p be (-2)/4 + 35/14. Let y = p + 0. Solve 0 = -2*a - 4*v + 8, 0 = a - 5*a + v - y for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(w) = -w**3 - 17*w**2 - 16*w - 2. Let q = -150 + 30. Let f be -21 + (q/48)/(1/(-2)). Calculate y(f).\n' | b'-2\n' | b'Let y(w) = -w**3 - 17*w**2 - 16*w - 2. Let q = -150 + 30. Let f be -21 + (q/48)/(1/(-2)). Calculate y(f).\n' | b'-2\n' | deepmind/math_dataset |
b'Let v be (3/(-4))/(6/(-16)). What is the second derivative of 8*n**2 + 4*n - 3*n**2 - 6 - 89*n**v + 3 wrt n?\n' | b'-168\n' | b'Let v be (3/(-4))/(6/(-16)). What is the second derivative of 8*n**2 + 4*n - 3*n**2 - 6 - 89*n**v + 3 wrt n?\n' | b'-168\n' | deepmind/math_dataset |
b'Suppose 0 = -2*k - i + 87, 15*i - 20*i = 3*k - 106. Solve -37 = 2*d - 4*p - k, 3*p + 12 = 3*d for d.\n' | b'3\n' | b'Suppose 0 = -2*k - i + 87, 15*i - 20*i = 3*k - 106. Solve -37 = 2*d - 4*p - k, 3*p + 12 = 3*d for d.\n' | b'3\n' | deepmind/math_dataset |
b'Let o(i) = -7*i**2 + 11*i + 5. Let g(m) = 15*m**2 - 23*m - 10. Let v(h) = 6*g(h) + 13*o(h). Suppose -1 = -3*k + 2. Let c be k/(((-8)/28)/(-2)). What is v(c)?\n' | b'-9\n' | b'Let o(i) = -7*i**2 + 11*i + 5. Let g(m) = 15*m**2 - 23*m - 10. Let v(h) = 6*g(h) + 13*o(h). Suppose -1 = -3*k + 2. Let c be k/(((-8)/28)/(-2)). What is v(c)?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (q**35*q**(-21/8))/(q**(1/44))**(-12) assuming q is positive.\n' | b'q**(2873/88)\n' | b'Simplify (q**35*q**(-21/8))/(q**(1/44))**(-12) assuming q is positive.\n' | b'q**(2873/88)\n' | deepmind/math_dataset |
b'Simplify (j/(j*(j/((j**(1/4)/j)/j)*j)/j*j*j))/(j/((j*j/(j*j**3/j))/j))*(j**(-1))**(14/9)*((j*j**(-1/4))**(-3/7))**29 assuming j is positive.\n' | b'j**(-2347/126)\n' | b'Simplify (j/(j*(j/((j**(1/4)/j)/j)*j)/j*j*j))/(j/((j*j/(j*j**3/j))/j))*(j**(-1))**(14/9)*((j*j**(-1/4))**(-3/7))**29 assuming j is positive.\n' | b'j**(-2347/126)\n' | deepmind/math_dataset |
b'Let c be -2*3/(-30)*55. Differentiate -13*o**3 + 8*o**3 + c - 12*o**4 + 5*o**3 with respect to o.\n' | b'-48*o**3\n' | b'Let c be -2*3/(-30)*55. Differentiate -13*o**3 + 8*o**3 + c - 12*o**4 + 5*o**3 with respect to o.\n' | b'-48*o**3\n' | deepmind/math_dataset |
b'Simplify ((v/v**4)/v**(4/9))**27 assuming v is positive.\n' | b'v**(-93)\n' | b'Simplify ((v/v**4)/v**(4/9))**27 assuming v is positive.\n' | b'v**(-93)\n' | deepmind/math_dataset |
b'Simplify (z**(2/9)/((z/(z/(z/z**(-5/2))))/z)*((z*z/z**(-7))/z)/z*z*z**(3/10)/z)**(1/14) assuming z is positive.\n' | b'z**(113/315)\n' | b'Simplify (z**(2/9)/((z/(z/(z/z**(-5/2))))/z)*((z*z/z**(-7))/z)/z*z*z**(3/10)/z)**(1/14) assuming z is positive.\n' | b'z**(113/315)\n' | deepmind/math_dataset |
b'Let w(f) = -107 - 7*f + 213 + f**3 - 7*f**2 - 99. Determine w(8).\n' | b'15\n' | b'Let w(f) = -107 - 7*f + 213 + f**3 - 7*f**2 - 99. Determine w(8).\n' | b'15\n' | deepmind/math_dataset |
b'Let h be (-133)/1064 + (-41)/(-8). Let n(v) = 3*v. Let w be n(6). Let m be 96/(-28)*(-7)/1. Solve 4*c - 4*x - m = 0, h*c + x - 3*x = w for c.\n' | b'2\n' | b'Let h be (-133)/1064 + (-41)/(-8). Let n(v) = 3*v. Let w be n(6). Let m be 96/(-28)*(-7)/1. Solve 4*c - 4*x - m = 0, h*c + x - 3*x = w for c.\n' | b'2\n' | deepmind/math_dataset |
b'Find the third derivative of 0*i**2 + 2*i - 2*i - 18*i**6 - 10*i**2 wrt i.\n' | b'-2160*i**3\n' | b'Find the third derivative of 0*i**2 + 2*i - 2*i - 18*i**6 - 10*i**2 wrt i.\n' | b'-2160*i**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, k: 1, e: 2, c: 1, p: 1, b: 1}. Give prob of sequence el.\n' | b'1/21\n' | b'Two letters picked without replacement from {l: 1, k: 1, e: 2, c: 1, p: 1, b: 1}. Give prob of sequence el.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -3*z = -7*z + 8. Suppose 0*m - z = -m. Let r = 133 - 130. Solve r*q = m*n + 1 - 0, 5 = -5*q for n.\n' | b'-2\n' | b'Suppose -3*z = -7*z + 8. Suppose 0*m - z = -m. Let r = 133 - 130. Solve r*q = m*n + 1 - 0, 5 = -5*q for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify x/(x/x**(-3/8))*x/(x/x**(2/19))*(x**(-2/25))**(-39) assuming x is positive.\n' | b'x**(10831/3800)\n' | b'Simplify x/(x/x**(-3/8))*x/(x/x**(2/19))*(x**(-2/25))**(-39) assuming x is positive.\n' | b'x**(10831/3800)\n' | deepmind/math_dataset |
b'What is prob of sequence zhzp when four letters picked without replacement from zzbhpbkx?\n' | b'1/840\n' | b'What is prob of sequence zhzp when four letters picked without replacement from zzbhpbkx?\n' | b'1/840\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 1 i when three letters picked without replacement from {u: 2, x: 4, k: 4, i: 1}?\n' | b'1/165\n' | b'What is prob of picking 2 u and 1 i when three letters picked without replacement from {u: 2, x: 4, k: 4, i: 1}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let l = -170 + 179. Let j be -2*((-176)/99 - 2/l). Solve -19 = -5*u + j*b, -u = -b + 4*b for u.\n' | b'3\n' | b'Let l = -170 + 179. Let j be -2*((-176)/99 - 2/l). Solve -19 = -5*u + j*b, -u = -b + 4*b for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(b) be the third derivative of 2/105*b**7 - 15*b**2 + 0*b - 1/30*b**6 + 0*b**4 + 1/60*b**5 + 0 - b**3. What is the third derivative of v(k) wrt k?\n' | b'96*k - 24\n' | b'Let v(b) be the third derivative of 2/105*b**7 - 15*b**2 + 0*b - 1/30*b**6 + 0*b**4 + 1/60*b**5 + 0 - b**3. What is the third derivative of v(k) wrt k?\n' | b'96*k - 24\n' | deepmind/math_dataset |
b'Simplify (k*k**(2/33)*k*k)**(-25/3) assuming k is positive.\n' | b'k**(-2525/99)\n' | b'Simplify (k*k**(2/33)*k*k)**(-25/3) assuming k is positive.\n' | b'k**(-2525/99)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 2, w: 1, v: 2, i: 4, q: 7, j: 1}. Give prob of picking 1 q and 1 i.\n' | b'7/34\n' | b'Two letters picked without replacement from {u: 2, w: 1, v: 2, i: 4, q: 7, j: 1}. Give prob of picking 1 q and 1 i.\n' | b'7/34\n' | deepmind/math_dataset |
b'Suppose -57*u = -48*u - 27. Solve u*t - r + 1 = 3*r, 7 = -3*t + r for t.\n' | b'-3\n' | b'Suppose -57*u = -48*u - 27. Solve u*t - r + 1 = 3*r, 7 = -3*t + r for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lhbrllhlhrbblyybllhl. What is prob of sequence lhr?\n' | b'8/855\n' | b'Three letters picked without replacement from lhbrllhlhrbblyybllhl. What is prob of sequence lhr?\n' | b'8/855\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 3 c when four letters picked without replacement from cnccjcncjjcc?\n' | b'7/33\n' | b'What is prob of picking 1 j and 3 c when four letters picked without replacement from cnccjcncjjcc?\n' | b'7/33\n' | deepmind/math_dataset |
b'Let q(b) be the first derivative of 1/3*b**3 - 11*b + 0*b**4 + 0*b**2 - 39 + 0*b**5 - 3*b**6. Find the third derivative of q(u) wrt u.\n' | b'-1080*u**2\n' | b'Let q(b) be the first derivative of 1/3*b**3 - 11*b + 0*b**4 + 0*b**2 - 39 + 0*b**5 - 3*b**6. Find the third derivative of q(u) wrt u.\n' | b'-1080*u**2\n' | deepmind/math_dataset |
b'Simplify ((((d*d**(1/7))**(9/8))**(1/17))**(-30))**(13/2) assuming d is positive.\n' | b'd**(-1755/119)\n' | b'Simplify ((((d*d**(1/7))**(9/8))**(1/17))**(-30))**(13/2) assuming d is positive.\n' | b'd**(-1755/119)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jajj when four letters picked without replacement from jjvvjjvaaaajvvj.\n' | b'4/273\n' | b'Calculate prob of sequence jajj when four letters picked without replacement from jjvvjjvaaaajvvj.\n' | b'4/273\n' | deepmind/math_dataset |
b'Suppose 2*n - 20 = 6*n. Let g be 0 + -4 + 11 + n. Solve 0 = 5*f + 10, g*z - f - 6 = 2 for z.\n' | b'3\n' | b'Suppose 2*n - 20 = 6*n. Let g be 0 + -4 + 11 + n. Solve 0 = 5*f + 10, g*z - f - 6 = 2 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 9, h: 7}. Give prob of sequence rrhr.\n' | b'21/260\n' | b'Four letters picked without replacement from {r: 9, h: 7}. Give prob of sequence rrhr.\n' | b'21/260\n' | deepmind/math_dataset |
b'Let c(v) be the first derivative of -5*v**2/2 - 2*v - 142. Let w be -1 + 1 - (2 - 0). Calculate c(w).\n' | b'8\n' | b'Let c(v) be the first derivative of -5*v**2/2 - 2*v - 142. Let w be -1 + 1 - (2 - 0). Calculate c(w).\n' | b'8\n' | deepmind/math_dataset |
b'Let w be (6/4)/(3/12). Let d(z) = -5 - 5 + w - z. Suppose 0 = 14*t - 15*t. Give d(t).\n' | b'-4\n' | b'Let w be (6/4)/(3/12). Let d(z) = -5 - 5 + w - z. Suppose 0 = 14*t - 15*t. Give d(t).\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(f) be the first derivative of -3*f**4 + f**2/2 + f + 13. Give w(-1).\n' | b'12\n' | b'Let w(f) be the first derivative of -3*f**4 + f**2/2 + f + 13. Give w(-1).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify ((s/s**(-3/4))/s*s*s/(s/(s**(-3)*s)*s)*s)**(-2/41)*(s**4/(s*((s**(-2/13)*s)/s)/s))**(-1/31) assuming s is positive.\n' | b's**(-4025/33046)\n' | b'Simplify ((s/s**(-3/4))/s*s*s/(s/(s**(-3)*s)*s)*s)**(-2/41)*(s**4/(s*((s**(-2/13)*s)/s)/s))**(-1/31) assuming s is positive.\n' | b's**(-4025/33046)\n' | deepmind/math_dataset |
b'Suppose 0*c + 5*c + z = 50, 2*z = c + 1. Let r(g) = -59 + 12*g - 5*g + 10. Let x be r(c). Solve -4*s = -0 + 8, x = 4*i - s for i.\n' | b'3\n' | b'Suppose 0*c + 5*c + z = 50, 2*z = c + 1. Let r(g) = -59 + 12*g - 5*g + 10. Let x be r(c). Solve -4*s = -0 + 8, x = 4*i - s for i.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((g/(g*g**(-9/7)*g))/(g/g**(-6)))**(-6/17) assuming g is positive.\n' | b'g**(282/119)\n' | b'Simplify ((g/(g*g**(-9/7)*g))/(g/g**(-6)))**(-6/17) assuming g is positive.\n' | b'g**(282/119)\n' | deepmind/math_dataset |
b'Let m be -1 - (1 + 1 + -3). Let w(o) = o + 6. Let l be w(-8). Let h be 6 + (m/(-3))/l. Solve -3*b + 4*k = h*k - 19, 0 = -2*k + 10 for b.\n' | b'3\n' | b'Let m be -1 - (1 + 1 + -3). Let w(o) = o + 6. Let l be w(-8). Let h be 6 + (m/(-3))/l. Solve -3*b + 4*k = h*k - 19, 0 = -2*k + 10 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let n(q) = q - 7. Let l(w) = -w + 3. Let r(b) = -5*l(b) - 3*n(b). Calculate r(-4).\n' | b'-2\n' | b'Let n(q) = q - 7. Let l(w) = -w + 3. Let r(b) = -5*l(b) - 3*n(b). Calculate r(-4).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -12*t + 32 - 8. Solve 4*b - 2*a = 20, 1 = -2*b - t*a - 1 for b.\n' | b'3\n' | b'Suppose 0 = -12*t + 32 - 8. Solve 4*b - 2*a = 20, 1 = -2*b - t*a - 1 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let l = 4 - 1. Suppose l = -3*m + 9. Let i be 8/m*(-2)/(-4). Solve 2*w - x - 4 = 3*x, w + 3*x = i for w.\n' | b'2\n' | b'Let l = 4 - 1. Suppose l = -3*m + 9. Let i be 8/m*(-2)/(-4). Solve 2*w - x - 4 = 3*x, w + 3*x = i for w.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = 150*d - 23*d - 762. Let k(r) = -r**2 + 9*r - 17. What is k(d)?\n' | b'1\n' | b'Suppose 0 = 150*d - 23*d - 762. Let k(r) = -r**2 + 9*r - 17. What is k(d)?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, r: 4, k: 2, v: 2, x: 2}. Give prob of picking 1 v and 3 l.\n' | b'2/715\n' | b'Four letters picked without replacement from {l: 3, r: 4, k: 2, v: 2, x: 2}. Give prob of picking 1 v and 3 l.\n' | b'2/715\n' | deepmind/math_dataset |
b'Suppose 0*f - 41 = -3*g + 4*f, 2*f + 73 = 5*g. Let n be g/(3 + -8)*2/(-3). Solve 5*l - 4 = -2*j - 3, -j - 4 = -n*l for j.\n' | b'-2\n' | b'Suppose 0*f - 41 = -3*g + 4*f, 2*f + 73 = 5*g. Let n be g/(3 + -8)*2/(-3). Solve 5*l - 4 = -2*j - 3, -j - 4 = -n*l for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -56 = 3*h - 62. Suppose -3*a - 13 = -7*a - p, -3*a = h*p - 16. Find the third derivative of 12*q**4 + 16*q**2 - 35*q**2 - q + 8*q**a wrt q.\n' | b'288*q\n' | b'Suppose -56 = 3*h - 62. Suppose -3*a - 13 = -7*a - p, -3*a = h*p - 16. Find the third derivative of 12*q**4 + 16*q**2 - 35*q**2 - q + 8*q**a wrt q.\n' | b'288*q\n' | deepmind/math_dataset |
b'Let h(y) be the second derivative of 3*y**6/5 - 15*y**2 - 15*y. What is the first derivative of h(j) wrt j?\n' | b'72*j**3\n' | b'Let h(y) be the second derivative of 3*y**6/5 - 15*y**2 - 15*y. What is the first derivative of h(j) wrt j?\n' | b'72*j**3\n' | deepmind/math_dataset |
b'Let o be (33 + -3)/10 + 2. Let a(x) = 27*x - 15. What is a(o)?\n' | b'120\n' | b'Let o be (33 + -3)/10 + 2. Let a(x) = 27*x - 15. What is a(o)?\n' | b'120\n' | deepmind/math_dataset |
b'Calculate prob of sequence qt when two letters picked without replacement from {b: 3, u: 1, x: 4, q: 1, k: 2, t: 1}.\n' | b'1/132\n' | b'Calculate prob of sequence qt when two letters picked without replacement from {b: 3, u: 1, x: 4, q: 1, k: 2, t: 1}.\n' | b'1/132\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 3, u: 5}?\n' | b'15/28\n' | b'What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 3, u: 5}?\n' | b'15/28\n' | deepmind/math_dataset |
b'Suppose -16 - 2 = f. Let t be (-2)/1*f/12. Solve -y + a = -2*y + t, 0 = -2*y - 5*a for y.\n' | b'5\n' | b'Suppose -16 - 2 = f. Let t be (-2)/1*f/12. Solve -y + a = -2*y + t, 0 = -2*y - 5*a for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let g(a) = 4*a. Let o = -3 - -6. Suppose -u - 5 = 3*n - 1, 5*n + 16 = o*u. Let v be (-2)/(-12)*3*u. Calculate g(v).\n' | b'4\n' | b'Let g(a) = 4*a. Let o = -3 - -6. Suppose -u - 5 = 3*n - 1, 5*n + 16 = o*u. Let v be (-2)/(-12)*3*u. Calculate g(v).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((s**6/s)/s*s*s**(-1/2))/(s/(s*((s**(2/9)*s)/s)/s*s))**(-41))**(2/59) assuming s is positive.\n' | b's**(-83/531)\n' | b'Simplify (((s**6/s)/s*s*s**(-1/2))/(s/(s*((s**(2/9)*s)/s)/s*s))**(-41))**(2/59) assuming s is positive.\n' | b's**(-83/531)\n' | deepmind/math_dataset |
b'Simplify ((q*q*q/q**(-1/4)*q)**37)**31*q**(-3)/q*q*q*q**(1/3)*(q*q**3)/q**(7/2) assuming q is positive.\n' | b'q**(58483/12)\n' | b'Simplify ((q*q*q/q**(-1/4)*q)**37)**31*q**(-3)/q*q*q*q**(1/3)*(q*q**3)/q**(7/2) assuming q is positive.\n' | b'q**(58483/12)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 2, f: 9}. What is prob of sequence nffn?\n' | b'1/55\n' | b'Four letters picked without replacement from {n: 2, f: 9}. What is prob of sequence nffn?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let m(c) = 4*c + 19 + 33*c - 36*c. Calculate m(-9).\n' | b'10\n' | b'Let m(c) = 4*c + 19 + 33*c - 36*c. Calculate m(-9).\n' | b'10\n' | deepmind/math_dataset |
b'Let j = 1 + -7. Suppose 3*l - 13 = 11. Let z = l + j. Solve -f - 5*m = 16, -4*f - 3*m + z*m = -12 for f.\n' | b'4\n' | b'Let j = 1 + -7. Suppose 3*l - 13 = 11. Let z = l + j. Solve -f - 5*m = 16, -4*f - 3*m + z*m = -12 for f.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 h when two letters picked without replacement from aahkakkkhkakkkakkak?\n' | b'22/171\n' | b'What is prob of picking 1 k and 1 h when two letters picked without replacement from aahkakkkhkakkkakkak?\n' | b'22/171\n' | deepmind/math_dataset |
b'Suppose 2*q + 66 = 5*u + 70, u + 4*q = 8. Solve -2*i + 139*n - 138*n = 9, u = -4*n + 4 for i.\n' | b'-4\n' | b'Suppose 2*q + 66 = 5*u + 70, u + 4*q = 8. Solve -2*i + 139*n - 138*n = 9, u = -4*n + 4 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, y: 11}. Give prob of picking 2 y and 1 r.\n' | b'165/364\n' | b'Three letters picked without replacement from {r: 3, y: 11}. Give prob of picking 2 y and 1 r.\n' | b'165/364\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyyyyyyyfvyyyyyyyy. What is prob of picking 1 f and 1 v?\n' | b'1/153\n' | b'Two letters picked without replacement from yyyyyyyyfvyyyyyyyy. What is prob of picking 1 f and 1 v?\n' | b'1/153\n' | deepmind/math_dataset |
b'Simplify ((p/p**(-2))/p*p)**(-7)*(p*(p/(p*p**(-2/7)*p*p*p))/p*p)**(-12) assuming p is positive.\n' | b'p**(-3/7)\n' | b'Simplify ((p/p**(-2))/p*p)**(-7)*(p*(p/(p*p**(-2/7)*p*p*p))/p*p)**(-12) assuming p is positive.\n' | b'p**(-3/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 10, b: 4}. What is prob of picking 4 v?\n' | b'30/143\n' | b'Four letters picked without replacement from {v: 10, b: 4}. What is prob of picking 4 v?\n' | b'30/143\n' | deepmind/math_dataset |
b'Simplify (t**3/t)/t**5*(t/t**2)/t*t**(-2/15) assuming t is positive.\n' | b't**(-77/15)\n' | b'Simplify (t**3/t)/t**5*(t/t**2)/t*t**(-2/15) assuming t is positive.\n' | b't**(-77/15)\n' | deepmind/math_dataset |
b'What is prob of sequence cp when two letters picked without replacement from {p: 2, c: 4, r: 2, z: 3}?\n' | b'4/55\n' | b'What is prob of sequence cp when two letters picked without replacement from {p: 2, c: 4, r: 2, z: 3}?\n' | b'4/55\n' | deepmind/math_dataset |
b'Let y(v) = -v + 4. Let c be y(2). Let j(a) = a - 8 - a**3 + 5 + a. Calculate j(c).\n' | b'-7\n' | b'Let y(v) = -v + 4. Let c be y(2). Let j(a) = a - 8 - a**3 + 5 + a. Calculate j(c).\n' | b'-7\n' | deepmind/math_dataset |
b'Let g = -17143 + 17146. Solve -5*q + 20 = -g*d, 12*d - 20 = 16*d for q.\n' | b'1\n' | b'Let g = -17143 + 17146. Solve -5*q + 20 = -g*d, 12*d - 20 = 16*d for q.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify f/(f/f**(-2/25))*f*f*f*(f*f**(-19)/f)/f*f assuming f is positive.\n' | b'f**(-402/25)\n' | b'Simplify f/(f/f**(-2/25))*f*f*f*(f*f**(-19)/f)/f*f assuming f is positive.\n' | b'f**(-402/25)\n' | deepmind/math_dataset |
b'Simplify (p**(-5/6))**(-1/6) assuming p is positive.\n' | b'p**(5/36)\n' | b'Simplify (p**(-5/6))**(-1/6) assuming p is positive.\n' | b'p**(5/36)\n' | deepmind/math_dataset |
b'Let z = 7 + 0. Suppose 4*k + z*a - 3*a + 4 = 0, -5*k = -a - 13. What is the third derivative of -4*b**5 - 3*b**2 + 4*b**5 - k*b**5 wrt b?\n' | b'-120*b**2\n' | b'Let z = 7 + 0. Suppose 4*k + z*a - 3*a + 4 = 0, -5*k = -a - 13. What is the third derivative of -4*b**5 - 3*b**2 + 4*b**5 - k*b**5 wrt b?\n' | b'-120*b**2\n' | deepmind/math_dataset |
b'Let a = 19 - 19. Suppose v + 1 - 6 = a. What is the second derivative of 2*i**2 - 4*i**2 + 2*i**2 - 8*i - 6*i**v wrt i?\n' | b'-120*i**3\n' | b'Let a = 19 - 19. Suppose v + 1 - 6 = a. What is the second derivative of 2*i**2 - 4*i**2 + 2*i**2 - 8*i - 6*i**v wrt i?\n' | b'-120*i**3\n' | deepmind/math_dataset |
b'Let g = -151 + 161. Let u(w) = -w**2 - g + 17*w + 20 - 18*w. Calculate u(0).\n' | b'10\n' | b'Let g = -151 + 161. Let u(w) = -w**2 - g + 17*w + 20 - 18*w. Calculate u(0).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 6*v = -2104 - 1826. Let p = -652 - v. Let u(b) = -b**3 + 5*b - 2. What is u(p)?\n' | b'-14\n' | b'Suppose 6*v = -2104 - 1826. Let p = -652 - v. Let u(b) = -b**3 + 5*b - 2. What is u(p)?\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -i + 0 + 5 = 0. Suppose -2*x + 3*x - 4 = 0. Let l(s) = 5 + x*s - 5*s - 2*s. What is l(i)?\n' | b'-10\n' | b'Suppose -i + 0 + 5 = 0. Suppose -2*x + 3*x - 4 = 0. Let l(s) = 5 + x*s - 5*s - 2*s. What is l(i)?\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of sequence ldl when three letters picked without replacement from uuluddfful.\n' | b'1/180\n' | b'Calculate prob of sequence ldl when three letters picked without replacement from uuluddfful.\n' | b'1/180\n' | deepmind/math_dataset |
b'Let r(b) be the second derivative of -b**3/6 + b**2 + b. What is r(-2)?\n' | b'4\n' | b'Let r(b) be the second derivative of -b**3/6 + b**2 + b. What is r(-2)?\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -200*f + 206*f - 24 = 0. Let d(a) be the third derivative of 5/24*a**f + a**2 + a**3 + 0*a + 0. What is the first derivative of d(k) wrt k?\n' | b'5\n' | b'Suppose -200*f + 206*f - 24 = 0. Let d(a) be the third derivative of 5/24*a**f + a**2 + a**3 + 0*a + 0. What is the first derivative of d(k) wrt k?\n' | b'5\n' | deepmind/math_dataset |
b'Let w be 6*4*(-12)/(-32). Let h = -27 - -36. Let q = h - w. Solve -2*u - 4 + 6 = y, q = 2*y - 2*u - 10 for y.\n' | b'4\n' | b'Let w be 6*4*(-12)/(-32). Let h = -27 - -36. Let q = h - w. Solve -2*u - 4 + 6 = y, q = 2*y - 2*u - 10 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(v) = 3*v**2 - v + 23. Let z(n) = -n**2 - 8. Let h(d) = 4*q(d) + 11*z(d). Let s be h(4). Solve -2*p - x = 4, p + 12 = 2*p + s*x for p.\n' | b'-4\n' | b'Let q(v) = 3*v**2 - v + 23. Let z(n) = -n**2 - 8. Let h(d) = 4*q(d) + 11*z(d). Let s be h(4). Solve -2*p - x = 4, p + 12 = 2*p + s*x for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -4*g + 147 = 3*o + 18, 4*o = 2*g - 92. Let j(z) = -z**3 + 35*z**2 + 35*z + 37. What is j(g)?\n' | b'1\n' | b'Suppose -4*g + 147 = 3*o + 18, 4*o = 2*g - 92. Let j(z) = -z**3 + 35*z**2 + 35*z + 37. What is j(g)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 2 i when four letters picked without replacement from rrrrrririrrrr?\n' | b'1/13\n' | b'What is prob of picking 2 r and 2 i when four letters picked without replacement from rrrrrririrrrr?\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {g: 10}?\n' | b'1\n' | b'What is prob of picking 2 g when two letters picked without replacement from {g: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(h) = 45*h**2 + 70*h - 5. Let f(l) = 9*l**2 + 14*l - 1. Let i(u) = -4*c(u) + 22*f(u). Find the second derivative of i(p) wrt p.\n' | b'36\n' | b'Let c(h) = 45*h**2 + 70*h - 5. Let f(l) = 9*l**2 + 14*l - 1. Let i(u) = -4*c(u) + 22*f(u). Find the second derivative of i(p) wrt p.\n' | b'36\n' | deepmind/math_dataset |
b'Simplify d/d**(-2)*d**(-21) assuming d is positive.\n' | b'd**(-18)\n' | b'Simplify d/d**(-2)*d**(-21) assuming d is positive.\n' | b'd**(-18)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 e when two letters picked without replacement from {y: 1, d: 1, e: 1, t: 1, g: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 g and 1 e when two letters picked without replacement from {y: 1, d: 1, e: 1, t: 1, g: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(n) = -2*n + 3. Let q = -1 - -2. Let p(f) = 2 - f - q + 2 + 1. Let l(m) = -2*c(m) + 3*p(m). Calculate l(-5).\n' | b'1\n' | b'Let c(n) = -2*n + 3. Let q = -1 - -2. Let p(f) = 2 - f - q + 2 + 1. Let l(m) = -2*c(m) + 3*p(m). Calculate l(-5).\n' | b'1\n' | deepmind/math_dataset |
b'Let a(k) be the third derivative of 2*k**9/63 + 17*k**7/35 + 631*k**5/10 + k**4/8 - 3*k**2 - 1620*k. What is the third derivative of a(q) wrt q?\n' | b'1920*q**3 + 2448*q\n' | b'Let a(k) be the third derivative of 2*k**9/63 + 17*k**7/35 + 631*k**5/10 + k**4/8 - 3*k**2 - 1620*k. What is the third derivative of a(q) wrt q?\n' | b'1920*q**3 + 2448*q\n' | deepmind/math_dataset |
b'Simplify (w*(w*w**(1/4)*w*w)/w*w)/w**(-1/2)*w**(1/5)/w**0*(w**(-2/3)/w**(4/5))**(-7/6) assuming w is positive.\n' | b'w**(1199/180)\n' | b'Simplify (w*(w*w**(1/4)*w*w)/w*w)/w**(-1/2)*w**(1/5)/w**0*(w**(-2/3)/w**(4/5))**(-7/6) assuming w is positive.\n' | b'w**(1199/180)\n' | deepmind/math_dataset |
b'Find the second derivative of -288269*u**2 + 581605*u**2 - 290684*u**2 + 6 + 6*u - 4 wrt u.\n' | b'5304\n' | b'Find the second derivative of -288269*u**2 + 581605*u**2 - 290684*u**2 + 6 + 6*u - 4 wrt u.\n' | b'5304\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y and 2 s when four letters picked without replacement from {s: 3, y: 1, v: 13}.\n' | b'0\n' | b'Calculate prob of picking 2 y and 2 s when four letters picked without replacement from {s: 3, y: 1, v: 13}.\n' | b'0\n' | deepmind/math_dataset |
b'Let o(a) = -7*a - 18. Let g be o(-4). Suppose u + 4 = -0*u. Let b be u/(-6) + 4/(-6). Solve b = 5*l - g, 3*l = 5*m + 4*l + 3 for m.\n' | b'-1\n' | b'Let o(a) = -7*a - 18. Let g be o(-4). Suppose u + 4 = -0*u. Let b be u/(-6) + 4/(-6). Solve b = 5*l - g, 3*l = 5*m + 4*l + 3 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o(g) be the third derivative of -449*g**4/24 - 157*g**3/3 - 160*g**2 - 1. What is the first derivative of o(f) wrt f?\n' | b'-449\n' | b'Let o(g) be the third derivative of -449*g**4/24 - 157*g**3/3 - 160*g**2 - 1. What is the first derivative of o(f) wrt f?\n' | b'-449\n' | deepmind/math_dataset |
b'What is prob of sequence yaaz when four letters picked without replacement from {a: 2, z: 2, y: 1}?\n' | b'1/30\n' | b'What is prob of sequence yaaz when four letters picked without replacement from {a: 2, z: 2, y: 1}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let r(b) be the first derivative of 2*b**4 + 58*b**3 - 1363*b + 2062. Differentiate r(k) with respect to k.\n' | b'24*k**2 + 348*k\n' | b'Let r(b) be the first derivative of 2*b**4 + 58*b**3 - 1363*b + 2062. Differentiate r(k) with respect to k.\n' | b'24*k**2 + 348*k\n' | deepmind/math_dataset |
b'Suppose 2*v + z = 9, -4*v + 33 = 3*z - 6*z. Suppose -v*c = -3*c - 15. Suppose -j = c*o - 12, o - 5*j = -j + 15. Solve -1 = -s - 2*l, 4*l + 3 = o*s + 5*l for s.\n' | b'1\n' | b'Suppose 2*v + z = 9, -4*v + 33 = 3*z - 6*z. Suppose -v*c = -3*c - 15. Suppose -j = c*o - 12, o - 5*j = -j + 15. Solve -1 = -s - 2*l, 4*l + 3 = o*s + 5*l for s.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hjzjhjzhhjjjjhozjz. Give prob of picking 3 h.\n' | b'5/408\n' | b'Three letters picked without replacement from hjzjhjzhhjjjjhozjz. Give prob of picking 3 h.\n' | b'5/408\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uunuunun. What is prob of picking 3 u?\n' | b'5/28\n' | b'Three letters picked without replacement from uunuunun. What is prob of picking 3 u?\n' | b'5/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhh when three letters picked without replacement from pphhhhhhhhh.\n' | b'28/55\n' | b'Calculate prob of sequence hhh when three letters picked without replacement from pphhhhhhhhh.\n' | b'28/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 5, x: 1, d: 3, j: 7, p: 3}. What is prob of picking 2 p, 1 x, and 1 d?\n' | b'3/1292\n' | b'Four letters picked without replacement from {g: 5, x: 1, d: 3, j: 7, p: 3}. What is prob of picking 2 p, 1 x, and 1 d?\n' | b'3/1292\n' | deepmind/math_dataset |
b'Let q(m) be the first derivative of m**4/4 + m**3/3 + 14. Calculate q(-3).\n' | b'-18\n' | b'Let q(m) be the first derivative of m**4/4 + m**3/3 + 14. Calculate q(-3).\n' | b'-18\n' | deepmind/math_dataset |
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