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 the first derivative of -18*b**2 - 24*b + 8*b - 24 + 16*b wrt b?\n' | b'-36*b\n' | b'What is the first derivative of -18*b**2 - 24*b + 8*b - 24 + 16*b wrt b?\n' | b'-36*b\n' | deepmind/math_dataset |
b'Let o = -10/7 + 37/21. Let c(r) be the third derivative of 1/120*r**6 - o*r**3 + r**2 + 0 + 0*r + 0*r**4 + 0*r**5. Differentiate c(a) wrt a.\n' | b'3*a**2\n' | b'Let o = -10/7 + 37/21. Let c(r) be the third derivative of 1/120*r**6 - o*r**3 + r**2 + 0 + 0*r + 0*r**4 + 0*r**5. Differentiate c(a) wrt a.\n' | b'3*a**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, q: 2, j: 2}. Give prob of picking 2 q, 1 y, and 1 j.\n' | b'2/5\n' | b'Four letters picked without replacement from {y: 1, q: 2, j: 2}. Give prob of picking 2 q, 1 y, and 1 j.\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of sequence tti when three letters picked without replacement from trxittykrrtkktxiktxr?\n' | b'1/114\n' | b'What is prob of sequence tti when three letters picked without replacement from trxittykrrtkktxiktxr?\n' | b'1/114\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 2 o, and 1 p when four letters picked without replacement from jovoeopxepxeoxvjxj?\n' | b'4/255\n' | b'What is prob of picking 1 x, 2 o, and 1 p when four letters picked without replacement from jovoeopxepxeoxvjxj?\n' | b'4/255\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ucwwlucuu. Give prob of sequence cluw.\n' | b'1/189\n' | b'Four letters picked without replacement from ucwwlucuu. Give prob of sequence cluw.\n' | b'1/189\n' | deepmind/math_dataset |
b'Let s(k) = -6720*k**2 + 2242*k**2 + 2*k - 2 + 2252*k**2 + 2225*k**2. Let r be -4*(-2 + 1) - 0. Calculate s(r).\n' | b'-10\n' | b'Let s(k) = -6720*k**2 + 2242*k**2 + 2*k - 2 + 2252*k**2 + 2225*k**2. Let r be -4*(-2 + 1) - 0. Calculate s(r).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of sequence se when two letters picked without replacement from {e: 4, h: 8, s: 5}?\n' | b'5/68\n' | b'What is prob of sequence se when two letters picked without replacement from {e: 4, h: 8, s: 5}?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let r(s) be the third derivative of -s**4/24 + 6*s**3 + 16*s**2. Let w be r(22). Solve 18 = -3*u - 5*n + 2, -2*u - 5*n = w for u.\n' | b'-2\n' | b'Let r(s) be the third derivative of -s**4/24 + 6*s**3 + 16*s**2. Let w be r(22). Solve 18 = -3*u - 5*n + 2, -2*u - 5*n = w for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggr when three letters picked without replacement from {r: 3, g: 12}.\n' | b'66/455\n' | b'Calculate prob of sequence ggr when three letters picked without replacement from {r: 3, g: 12}.\n' | b'66/455\n' | deepmind/math_dataset |
b'Let f(z) = -z - 2. Let t be f(-4). Let c(y) = t - 327*y - 2 + 336*y. Let l = -4 - -3. Determine c(l).\n' | b'-9\n' | b'Let f(z) = -z - 2. Let t be f(-4). Let c(y) = t - 327*y - 2 + 336*y. Let l = -4 - -3. Determine c(l).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (((f/((f/(f*f*f/((f/(f*f/f**(-3/5))*f)/f*f))*f)/f))**(29/5))**(-3/22))**(-1/27) assuming f is positive.\n' | b'f**(29/275)\n' | b'Simplify (((f/((f/(f*f*f/((f/(f*f/f**(-3/5))*f)/f*f))*f)/f))**(29/5))**(-3/22))**(-1/27) assuming f is positive.\n' | b'f**(29/275)\n' | deepmind/math_dataset |
b'Simplify s**(6/5)*s**(5/4)*s*s assuming s is positive.\n' | b's**(89/20)\n' | b'Simplify s**(6/5)*s**(5/4)*s*s assuming s is positive.\n' | b's**(89/20)\n' | deepmind/math_dataset |
b'Find the second derivative of -4*t**3 + 4*t**4 + 0*t**3 - 4*t + 4*t**3 wrt t.\n' | b'48*t**2\n' | b'Find the second derivative of -4*t**3 + 4*t**4 + 0*t**3 - 4*t + 4*t**3 wrt t.\n' | b'48*t**2\n' | deepmind/math_dataset |
b'Let v = -19 + 48. Let a = v + -27. Solve -a*m + 9 = -7*m - 4*l, -m - 5 = 4*l for m.\n' | b'-1\n' | b'Let v = -19 + 48. Let a = v + -27. Solve -a*m + 9 = -7*m - 4*l, -m - 5 = 4*l for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((b**(-3/7))**(-45))**18 assuming b is positive.\n' | b'b**(2430/7)\n' | b'Simplify ((b**(-3/7))**(-45))**18 assuming b is positive.\n' | b'b**(2430/7)\n' | deepmind/math_dataset |
b'Simplify (q**(-3/11)*q**11)**2 assuming q is positive.\n' | b'q**(236/11)\n' | b'Simplify (q**(-3/11)*q**11)**2 assuming q is positive.\n' | b'q**(236/11)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, e: 1, t: 4}. What is prob of picking 1 t and 1 e?\n' | b'1/7\n' | b'Two letters picked without replacement from {p: 3, e: 1, t: 4}. What is prob of picking 1 t and 1 e?\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 0 = -i - 4*i + 25, 0 = -5*f - 5*i. Let w = -1 - f. Solve -2*y = -0*b + 4*b + 30, 15 = b - w*y for b.\n' | b'-5\n' | b'Suppose 0 = -i - 4*i + 25, 0 = -5*f - 5*i. Let w = -1 - f. Solve -2*y = -0*b + 4*b + 30, 15 = b - w*y for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be (-40)/(-140) - (-38)/14. Find the second derivative of -11*v**2 - 6*v**2 + o*v**5 + 17*v**2 - 6*v wrt v.\n' | b'60*v**3\n' | b'Let o be (-40)/(-140) - (-38)/14. Find the second derivative of -11*v**2 - 6*v**2 + o*v**5 + 17*v**2 - 6*v wrt v.\n' | b'60*v**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence mi when two letters picked without replacement from {m: 5, i: 1, j: 3, s: 1}.\n' | b'1/18\n' | b'Calculate prob of sequence mi when two letters picked without replacement from {m: 5, i: 1, j: 3, s: 1}.\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, c: 1, b: 1, u: 3, h: 2, a: 4}. What is prob of picking 1 u and 1 b?\n' | b'1/22\n' | b'Two letters picked without replacement from {i: 1, c: 1, b: 1, u: 3, h: 2, a: 4}. What is prob of picking 1 u and 1 b?\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 21 = 4*q - z, 5*q - 5*z = -1 + 46. Let a(r) = 4*r**3 + r**2 - 1. Let x be a(1). What is the derivative of l**x - l**q + 3*l**4 - 3 wrt l?\n' | b'12*l**3\n' | b'Suppose 21 = 4*q - z, 5*q - 5*z = -1 + 46. Let a(r) = 4*r**3 + r**2 - 1. Let x be a(1). What is the derivative of l**x - l**q + 3*l**4 - 3 wrt l?\n' | b'12*l**3\n' | deepmind/math_dataset |
b'Let d(a) be the first derivative of 3528*a**5/5 + 381*a**2 - 3*a - 2518. Find the second derivative of d(n) wrt n.\n' | b'42336*n**2\n' | b'Let d(a) be the first derivative of 3528*a**5/5 + 381*a**2 - 3*a - 2518. Find the second derivative of d(n) wrt n.\n' | b'42336*n**2\n' | deepmind/math_dataset |
b'Let y be 1 - (969/(-34))/((-1)/(-2)). Differentiate 9 - 43*i - y*i + 17*i - 138 with respect to i.\n' | b'-84\n' | b'Let y be 1 - (969/(-34))/((-1)/(-2)). Differentiate 9 - 43*i - y*i + 17*i - 138 with respect to i.\n' | b'-84\n' | deepmind/math_dataset |
b'Let y(j) = j**2 - 11*j + 13. Let h(u) = -u**3 + 13*u**2 - 12*u + 10. Let k be h(12). Let s be y(k). Suppose s - 4 = -r. Let p(c) = 16*c**2 + c. What is p(r)?\n' | b'17\n' | b'Let y(j) = j**2 - 11*j + 13. Let h(u) = -u**3 + 13*u**2 - 12*u + 10. Let k be h(12). Let s be y(k). Suppose s - 4 = -r. Let p(c) = 16*c**2 + c. What is p(r)?\n' | b'17\n' | deepmind/math_dataset |
b'Let i = 14571 + -14560. Let l = 6 + -4. Solve h - i = 4*d, 2*d - 4*d = -l*h + 10 for h.\n' | b'3\n' | b'Let i = 14571 + -14560. Let l = 6 + -4. Solve h - i = 4*d, 2*d - 4*d = -l*h + 10 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cssc. Give prob of picking 1 s and 2 c.\n' | b'1/2\n' | b'Three letters picked without replacement from cssc. Give prob of picking 1 s and 2 c.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -144*j + 110 = -142*j + 4*k, 2*j = -k + 128. Solve -3*t + 78 - j = i, -t + 5*i = -25 for t.\n' | b'5\n' | b'Suppose -144*j + 110 = -142*j + 4*k, 2*j = -k + 128. Solve -3*t + 78 - j = i, -t + 5*i = -25 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (d**0)**23/((d/d**(-2/7))/d**(-7))*((((d*d*d*d/(d**8/d))/d)/d)/(d/(d**(-3)*d)*d))**(3/11) assuming d is positive.\n' | b'd**(-827/77)\n' | b'Simplify (d**0)**23/((d/d**(-2/7))/d**(-7))*((((d*d*d*d/(d**8/d))/d)/d)/(d/(d**(-3)*d)*d))**(3/11) assuming d is positive.\n' | b'd**(-827/77)\n' | deepmind/math_dataset |
b'Let a(u) = -u**3 - 10*u**2 + 9*u - 7. Let m = -9 + -2. Let c be a(m). Solve 0*x - 5*r + c = 5*x, x = 5*r + 15 for x.\n' | b'5\n' | b'Let a(u) = -u**3 - 10*u**2 + 9*u - 7. Let m = -9 + -2. Let c be a(m). Solve 0*x - 5*r + c = 5*x, x = 5*r + 15 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ralrrrajaljjjrjlrlr. Give prob of picking 1 a and 1 j.\n' | b'5/57\n' | b'Two letters picked without replacement from ralrrrajaljjjrjlrlr. Give prob of picking 1 a and 1 j.\n' | b'5/57\n' | deepmind/math_dataset |
b'What is prob of picking 4 n when four letters picked without replacement from unununnnnnnn?\n' | b'14/55\n' | b'What is prob of picking 4 n when four letters picked without replacement from unununnnnnnn?\n' | b'14/55\n' | deepmind/math_dataset |
b'Let v(q) be the second derivative of -139*q**7/42 - 13*q**4/3 + q**3/6 + 132*q. Find the third derivative of v(g) wrt g.\n' | b'-8340*g**2\n' | b'Let v(q) be the second derivative of -139*q**7/42 - 13*q**4/3 + q**3/6 + 132*q. Find the third derivative of v(g) wrt g.\n' | b'-8340*g**2\n' | deepmind/math_dataset |
b'Let s be (1*(0/(-3))/(-2))/(-2). Let w = 0 - -4. Suppose 57 = w*l + 5*u, 8*l - 4*l = -u + 37. Solve -5*c - 9 = -4*h, -5*c - l = -3*h - s for h.\n' | b'1\n' | b'Let s be (1*(0/(-3))/(-2))/(-2). Let w = 0 - -4. Suppose 57 = w*l + 5*u, 8*l - 4*l = -u + 37. Solve -5*c - 9 = -4*h, -5*c - l = -3*h - s for h.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 o and 1 l when four letters picked without replacement from lloolcllool?\n' | b'4/55\n' | b'What is prob of picking 3 o and 1 l when four letters picked without replacement from lloolcllool?\n' | b'4/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 t when two letters picked without replacement from {z: 3, v: 1, k: 2, w: 2, j: 6, t: 1}?\n' | b'1/35\n' | b'What is prob of picking 1 z and 1 t when two letters picked without replacement from {z: 3, v: 1, k: 2, w: 2, j: 6, t: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let i = 39 - 19. Let w = i - -1. Let n = w - 26. Let j(c) = c**3 + 5*c**2 - 2*c - 1. Determine j(n).\n' | b'9\n' | b'Let i = 39 - 19. Let w = i - -1. Let n = w - 26. Let j(c) = c**3 + 5*c**2 - 2*c - 1. Determine j(n).\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of sequence kh when two letters picked without replacement from {x: 4, k: 2, l: 3, h: 2, j: 1, w: 3}?\n' | b'2/105\n' | b'What is prob of sequence kh when two letters picked without replacement from {x: 4, k: 2, l: 3, h: 2, j: 1, w: 3}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, w: 1, o: 4, c: 2, h: 1, a: 1}. What is prob of sequence hcog?\n' | b'1/495\n' | b'Four letters picked without replacement from {g: 3, w: 1, o: 4, c: 2, h: 1, a: 1}. What is prob of sequence hcog?\n' | b'1/495\n' | deepmind/math_dataset |
b'Let u(j) = 3*j**3 - 11*j**2 - 5*j + 7. Let m(s) = -2*s**3 + 5*s**2 + 3*s - 3. Let w(n) = 5*m(n) + 3*u(n). Give w(-8).\n' | b'6\n' | b'Let u(j) = 3*j**3 - 11*j**2 - 5*j + 7. Let m(s) = -2*s**3 + 5*s**2 + 3*s - 3. Let w(n) = 5*m(n) + 3*u(n). Give w(-8).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 3*b - 2*b + 5*q = 13, -q - 19 = -b. Let w(y) be the first derivative of -b*y - 10*y**4 - 19 + 53 - 17. What is the derivative of w(d) wrt d?\n' | b'-120*d**2\n' | b'Suppose 3*b - 2*b + 5*q = 13, -q - 19 = -b. Let w(y) be the first derivative of -b*y - 10*y**4 - 19 + 53 - 17. What is the derivative of w(d) wrt d?\n' | b'-120*d**2\n' | deepmind/math_dataset |
b'What is prob of sequence fj when two letters picked without replacement from jyjjjjfcjfjjjfj?\n' | b'1/7\n' | b'What is prob of sequence fj when two letters picked without replacement from jyjjjjfcjfjjjfj?\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, s: 5, m: 6, w: 5, v: 2}. Give prob of picking 1 w and 1 g.\n' | b'5/171\n' | b'Two letters picked without replacement from {g: 1, s: 5, m: 6, w: 5, v: 2}. Give prob of picking 1 w and 1 g.\n' | b'5/171\n' | deepmind/math_dataset |
b'Let m(y) = -y**2 - 5*y - 6. Let w(s) = 4*s**3 + 2*s**2 + 3*s + 7. Let a be w(-3). Let c be (115/a)/(2/8). Give m(c).\n' | b'-6\n' | b'Let m(y) = -y**2 - 5*y - 6. Let w(s) = 4*s**3 + 2*s**2 + 3*s + 7. Let a be w(-3). Let c be (115/a)/(2/8). Give m(c).\n' | b'-6\n' | deepmind/math_dataset |
b'Let r(i) = 6*i - 21. Let y(o) = -3*o + 10. Let m(k) = 4*r(k) + 7*y(k). Let d be m(6). Solve -4*v + 4 = 0, v + 2 + 17 = d*t for t.\n' | b'5\n' | b'Let r(i) = 6*i - 21. Let y(o) = -3*o + 10. Let m(k) = 4*r(k) + 7*y(k). Let d be m(6). Solve -4*v + 4 = 0, v + 2 + 17 = d*t for t.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3*w + a - 111 = 0, a + 177 = -3*w + 8*w. Suppose 0 = -6*k - 148 + 10. Let p = w + k. Solve -l + p = x + 3*x, 0 = -x - l + 4 for x.\n' | b'3\n' | b'Suppose 3*w + a - 111 = 0, a + 177 = -3*w + 8*w. Suppose 0 = -6*k - 148 + 10. Let p = w + k. Solve -l + p = x + 3*x, 0 = -x - l + 4 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (o/(o*o**(2/3)))/(o**(-6)/o)*o**(-3/2)/(o**(-1/5)/o) assuming o is positive.\n' | b'o**(181/30)\n' | b'Simplify (o/(o*o**(2/3)))/(o**(-6)/o)*o**(-3/2)/(o**(-1/5)/o) assuming o is positive.\n' | b'o**(181/30)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ngpi when four letters picked without replacement from gppcpvpippcvpn.\n' | b'1/3432\n' | b'Calculate prob of sequence ngpi when four letters picked without replacement from gppcpvpippcvpn.\n' | b'1/3432\n' | deepmind/math_dataset |
b'Let q(j) be the second derivative of -9*j**8/112 + j**5/10 - 8*j**2 + j. Let y(t) be the first derivative of q(t). What is the third derivative of y(w) wrt w?\n' | b'-1620*w**2\n' | b'Let q(j) be the second derivative of -9*j**8/112 + j**5/10 - 8*j**2 + j. Let y(t) be the first derivative of q(t). What is the third derivative of y(w) wrt w?\n' | b'-1620*w**2\n' | deepmind/math_dataset |
b'Simplify (u**(2/13))**(5/3)/(u**(3/7)/(u*u/((u/(u**(-15)/u))/u*u))) assuming u is positive.\n' | b'u**(-4142/273)\n' | b'Simplify (u**(2/13))**(5/3)/(u**(3/7)/(u*u/((u/(u**(-15)/u))/u*u))) assuming u is positive.\n' | b'u**(-4142/273)\n' | deepmind/math_dataset |
b'Simplify (s**(-4/19))**(-1/9)*s**(-5/19)/s**(-24) assuming s is positive.\n' | b's**(4063/171)\n' | b'Simplify (s**(-4/19))**(-1/9)*s**(-5/19)/s**(-24) assuming s is positive.\n' | b's**(4063/171)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lzz. Give prob of sequence zl.\n' | b'1/3\n' | b'Two letters picked without replacement from lzz. Give prob of sequence zl.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -6*a = -5*a - 9. Let c = a + -6. What is the second derivative of 0*n - n**c + 4*n**3 - 4*n + 0*n wrt n?\n' | b'18*n\n' | b'Suppose -6*a = -5*a - 9. Let c = a + -6. What is the second derivative of 0*n - n**c + 4*n**3 - 4*n + 0*n wrt n?\n' | b'18*n\n' | deepmind/math_dataset |
b'Let h(z) = z**3 + 8*z**2 + 8. Let q = 197 + -205. What is h(q)?\n' | b'8\n' | b'Let h(z) = z**3 + 8*z**2 + 8. Let q = 197 + -205. What is h(q)?\n' | b'8\n' | deepmind/math_dataset |
b'Let y = 4 + -3. Let q(n) = 3 - 4 + 1 + y + 3*n. Give q(2).\n' | b'7\n' | b'Let y = 4 + -3. Let q(n) = 3 - 4 + 1 + y + 3*n. Give q(2).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (d**(-6)*d**17*(d*d**(2/17))/d*d*d**14/d)**(-15) assuming d is positive.\n' | b'd**(-6405/17)\n' | b'Simplify (d**(-6)*d**17*(d*d**(2/17))/d*d*d**14/d)**(-15) assuming d is positive.\n' | b'd**(-6405/17)\n' | deepmind/math_dataset |
b'Suppose 7*p = 12*p + 5*n, -5*n + 0*n = -3*p. Solve -5*k - m - 24 = p, -9*k - 3*m + 13 = -11*k for k.\n' | b'-5\n' | b'Suppose 7*p = 12*p + 5*n, -5*n + 0*n = -3*p. Solve -5*k - m - 24 = p, -9*k - 3*m + 13 = -11*k for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (p*(p*p/(p*p**10))/p*p/p**(-18))/(p**(-1/4)/p*p**(-15)) assuming p is positive.\n' | b'p**(105/4)\n' | b'Simplify (p*(p*p/(p*p**10))/p*p/p**(-18))/(p**(-1/4)/p*p**(-15)) assuming p is positive.\n' | b'p**(105/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 4, h: 2, o: 2, w: 2}. What is prob of sequence lhl?\n' | b'1/30\n' | b'Three letters picked without replacement from {l: 4, h: 2, o: 2, w: 2}. What is prob of sequence lhl?\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (j/(j*j**(-24))*j**5/j)/(j**(-1/3))**7 assuming j is positive.\n' | b'j**(91/3)\n' | b'Simplify (j/(j*j**(-24))*j**5/j)/(j**(-1/3))**7 assuming j is positive.\n' | b'j**(91/3)\n' | deepmind/math_dataset |
b'Suppose 4*x - 5*x = y - 19, 10 = -5*x. Let w(b) = 66*b - 24. Let a(d) = -264*d + 96. Let u(v) = y*w(v) + 5*a(v). Find the first derivative of u(z) wrt z.\n' | b'66\n' | b'Suppose 4*x - 5*x = y - 19, 10 = -5*x. Let w(b) = 66*b - 24. Let a(d) = -264*d + 96. Let u(v) = y*w(v) + 5*a(v). Find the first derivative of u(z) wrt z.\n' | b'66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 3, e: 1, p: 3, d: 4, q: 3, v: 1}. Give prob of sequence ppp.\n' | b'1/455\n' | b'Three letters picked without replacement from {k: 3, e: 1, p: 3, d: 4, q: 3, v: 1}. Give prob of sequence ppp.\n' | b'1/455\n' | deepmind/math_dataset |
b'Let s = 734 - 736. Let l(u) be the third derivative of u**8/20160 + u**7/1680 + u**6/720 - u**5/60 + u**2. Let x(h) be the third derivative of l(h). Give x(s).\n' | b'-1\n' | b'Let s = 734 - 736. Let l(u) be the third derivative of u**8/20160 + u**7/1680 + u**6/720 - u**5/60 + u**2. Let x(h) be the third derivative of l(h). Give x(s).\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(g) = -31*g**2 + 8. Let n(m) = 32*m**2 - 8. Suppose 2*u = 3 - 13. Let k(a) = u*z(a) - 6*n(a). Differentiate k(w) wrt w.\n' | b'-74*w\n' | b'Let z(g) = -31*g**2 + 8. Let n(m) = 32*m**2 - 8. Suppose 2*u = 3 - 13. Let k(a) = u*z(a) - 6*n(a). Differentiate k(w) wrt w.\n' | b'-74*w\n' | deepmind/math_dataset |
b'Let s(p) = -355*p - 2*p**2 + 170*p + 175*p - 6. What is s(-7)?\n' | b'-34\n' | b'Let s(p) = -355*p - 2*p**2 + 170*p + 175*p - 6. What is s(-7)?\n' | b'-34\n' | deepmind/math_dataset |
b'Suppose 0 = -64*d - 124*d + 940. Solve 3*k = 5*g - 14, 0 = d*g + 4*k + 14 - 7 for g.\n' | b'1\n' | b'Suppose 0 = -64*d - 124*d + 940. Solve 3*k = 5*g - 14, 0 = d*g + 4*k + 14 - 7 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let r be (96/(-120))/((-6)/(-45)*-3). Suppose 24 = 2*h + r*h. Solve h*t - 4*t = j - 8, -4*j + t + 11 = 0 for j.\n' | b'2\n' | b'Let r be (96/(-120))/((-6)/(-45)*-3). Suppose 24 = 2*h + r*h. Solve h*t - 4*t = j - 8, -4*j + t + 11 = 0 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let t(g) = -3*g + 8 + g - 10. Let x(d) = -d**3 + 3*d**2 + 4. Let m be x(3). Determine t(m).\n' | b'-10\n' | b'Let t(g) = -3*g + 8 + g - 10. Let x(d) = -d**3 + 3*d**2 + 4. Let m be x(3). Determine t(m).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (m**(-2/15)*m)**(2/9)/(m/((m*m/m**(5/7))/m*m)*m*m*m**5) assuming m is positive.\n' | b'm**(-6163/945)\n' | b'Simplify (m**(-2/15)*m)**(2/9)/(m/((m*m/m**(5/7))/m*m)*m*m*m**5) assuming m is positive.\n' | b'm**(-6163/945)\n' | deepmind/math_dataset |
b'Simplify (((o*o**(-4/13)*o)/(o**19*o))/(o**(2/5)/(o/o**(12/11))))**(-24) assuming o is positive.\n' | b'o**(322584/715)\n' | b'Simplify (((o*o**(-4/13)*o)/(o**19*o))/(o**(2/5)/(o/o**(12/11))))**(-24) assuming o is positive.\n' | b'o**(322584/715)\n' | deepmind/math_dataset |
b'Suppose -3*i + 4*m = 11 + 3, 5*i = 2*m. Suppose i*a = -2*a. Let b = -131 - -135. Solve a = 2*v - 6*v - 5*n - 11, 0 = 5*v - b*n + 24 for v.\n' | b'-4\n' | b'Suppose -3*i + 4*m = 11 + 3, 5*i = 2*m. Suppose i*a = -2*a. Let b = -131 - -135. Solve a = 2*v - 6*v - 5*n - 11, 0 = 5*v - b*n + 24 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r be 3/(9/(-2))*-6. Let p be 268/3886 - 4/58. Solve r*g - 2*f + 16 = -p*g, 0 = 3*g + 4*f + 1 for g.\n' | b'-3\n' | b'Let r be 3/(9/(-2))*-6. Let p be 268/3886 - 4/58. Solve r*g - 2*f + 16 = -p*g, 0 = 3*g + 4*f + 1 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify r**10/(r**(-12/5)*r)*(r**(-3/2)*r)**34 assuming r is positive.\n' | b'r**(-28/5)\n' | b'Simplify r**10/(r**(-12/5)*r)*(r**(-3/2)*r)**34 assuming r is positive.\n' | b'r**(-28/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, l: 5, k: 2}. What is prob of sequence nlk?\n' | b'1/24\n' | b'Three letters picked without replacement from {n: 3, l: 5, k: 2}. What is prob of sequence nlk?\n' | b'1/24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vsvzsz. What is prob of picking 2 s?\n' | b'1/15\n' | b'Two letters picked without replacement from vsvzsz. What is prob of picking 2 s?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let i(b) = b. Let q be i(6). Solve -5*v = -q*v - 3*t, 0 = -5*v + 5*t for v.\n' | b'0\n' | b'Let i(b) = b. Let q be i(6). Solve -5*v = -q*v - 3*t, 0 = -5*v + 5*t for v.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from puppueubbzubebq. What is prob of sequence pee?\n' | b'1/455\n' | b'Three letters picked without replacement from puppueubbzubebq. What is prob of sequence pee?\n' | b'1/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from finifiifeeneiin. Give prob of sequence fe.\n' | b'3/70\n' | b'Two letters picked without replacement from finifiifeeneiin. Give prob of sequence fe.\n' | b'3/70\n' | deepmind/math_dataset |
b'Simplify (((d**(-14)/d)/d*d)/((d/(d/(d*d**14*d)))/d))/(d*d/(d/(d**7*d))*d*d/(d**(-14)/d)) assuming d is positive.\n' | b'd**(-56)\n' | b'Simplify (((d**(-14)/d)/d*d)/((d/(d/(d*d**14*d)))/d))/(d*d/(d/(d**7*d))*d*d/(d**(-14)/d)) assuming d is positive.\n' | b'd**(-56)\n' | deepmind/math_dataset |
b'Let q(c) be the first derivative of -c**4/4 - 5*c**3/3 + 5*c + 160. Give q(-4).\n' | b'-11\n' | b'Let q(c) be the first derivative of -c**4/4 - 5*c**3/3 + 5*c + 160. Give q(-4).\n' | b'-11\n' | deepmind/math_dataset |
b'Let s be (-192)/240*25 + 22. Let i(r) = r**3 + 5*r**2 + 4*r - 1. Let v be i(-3). Solve -s*d + v*d - 4 = -5*x, 0 = d - 2*x - 5 for d.\n' | b'3\n' | b'Let s be (-192)/240*25 + 22. Let i(r) = r**3 + 5*r**2 + 4*r - 1. Let v be i(-3). Solve -s*d + v*d - 4 = -5*x, 0 = d - 2*x - 5 for d.\n' | b'3\n' | deepmind/math_dataset |
b'Let m = 691 + -689. Let h(b) be the second derivative of -b**3 + 4*b**2 + 21*b. Determine h(m).\n' | b'-4\n' | b'Let m = 691 + -689. Let h(b) be the second derivative of -b**3 + 4*b**2 + 21*b. Determine h(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 4*s + 5*f - 47 = 0, 4*s + 6*f = 7*f + 77. Solve 27 = -5*d + 4*c - s, -2*c = -10 for d.\n' | b'-5\n' | b'Suppose 4*s + 5*f - 47 = 0, 4*s + 6*f = 7*f + 77. Solve 27 = -5*d + 4*c - s, -2*c = -10 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(u) be the first derivative of -9*u**5/5 + 9*u**2/2 + 4. What is the second derivative of l(n) wrt n?\n' | b'-108*n**2\n' | b'Let l(u) be the first derivative of -9*u**5/5 + 9*u**2/2 + 4. What is the second derivative of l(n) wrt n?\n' | b'-108*n**2\n' | deepmind/math_dataset |
b'Let p be (-13 + -9)/((-2)/17). Suppose 4*n = 47 - p. Let c = 35 + n. Solve 0*v = -5*v + 5*g - 30, -3*v + g - 14 = c for v.\n' | b'-4\n' | b'Let p be (-13 + -9)/((-2)/17). Suppose 4*n = 47 - p. Let c = 35 + n. Solve 0*v = -5*v + 5*g - 30, -3*v + g - 14 = c for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 9 = 3*j - 0*j, -3*f = 2*j - 153. Let o = 63 - f. Solve k - 2*s + 4*s = -o, 0 = 3*k + 2*s + 22 for k.\n' | b'-4\n' | b'Suppose 9 = 3*j - 0*j, -3*f = 2*j - 153. Let o = 63 - f. Solve k - 2*s + 4*s = -o, 0 = 3*k + 2*s + 22 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*k + 2 = -l, -3*k + 5*k + 3*l - 16 = 0. Let c(j) = -k*j + j**3 - 4*j + 6 - 2 + 4*j**2. Give c(-6).\n' | b'-32\n' | b'Suppose -3*k + 2 = -l, -3*k + 5*k + 3*l - 16 = 0. Let c(j) = -k*j + j**3 - 4*j + 6 - 2 + 4*j**2. Give c(-6).\n' | b'-32\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxnnnnolrnnnnlnxo. What is prob of picking 1 l and 1 x?\n' | b'3/68\n' | b'Two letters picked without replacement from xxnnnnolrnnnnlnxo. What is prob of picking 1 l and 1 x?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let n(w) be the first derivative of -509*w**6/6 - 2023*w**2/2 + 85. Find the second derivative of n(k) wrt k.\n' | b'-10180*k**3\n' | b'Let n(w) be the first derivative of -509*w**6/6 - 2023*w**2/2 + 85. Find the second derivative of n(k) wrt k.\n' | b'-10180*k**3\n' | deepmind/math_dataset |
b'Let l be 2/(-10) - (-4)/20. Let b(d) = -d**3 + d**2 + d + 2. Let n be b(l). Let r(a) = -8*a + 6 + a**2 - a + n*a. Determine r(6).\n' | b'0\n' | b'Let l be 2/(-10) - (-4)/20. Let b(d) = -d**3 + d**2 + d + 2. Let n be b(l). Let r(a) = -8*a + 6 + a**2 - a + n*a. Determine r(6).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {l: 3, q: 3}.\n' | b'1/5\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {l: 3, q: 3}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bkbkbkbkkbkk. Give prob of picking 2 k and 2 b.\n' | b'14/33\n' | b'Four letters picked without replacement from bkbkbkbkkbkk. Give prob of picking 2 k and 2 b.\n' | b'14/33\n' | deepmind/math_dataset |
b'Let q be -5*(-2 + (-8)/(-10)). Let m(k) be the third derivative of -k**5/60 + k**4/4 + k**3 - k**2. Calculate m(q).\n' | b'6\n' | b'Let q be -5*(-2 + (-8)/(-10)). Let m(k) be the third derivative of -k**5/60 + k**4/4 + k**3 - k**2. Calculate m(q).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (v*v**(-2/35)/v*v**(-7)/v*v*v)**(-14) assuming v is positive.\n' | b'v**(424/5)\n' | b'Simplify (v*v**(-2/35)/v*v**(-7)/v*v*v)**(-14) assuming v is positive.\n' | b'v**(424/5)\n' | deepmind/math_dataset |
b'Let y(l) = 3*l**3 + l**2 - 194*l + 4. Let x(k) = k**3 - 2*k**2 - k - 1. Let q(f) = -4*x(f) - y(f). Find the second derivative of q(a) wrt a.\n' | b'-42*a + 14\n' | b'Let y(l) = 3*l**3 + l**2 - 194*l + 4. Let x(k) = k**3 - 2*k**2 - k - 1. Let q(f) = -4*x(f) - y(f). Find the second derivative of q(a) wrt a.\n' | b'-42*a + 14\n' | deepmind/math_dataset |
b'Simplify (((l*l**7)/l)/(l/l**(-2/13))*l**(-2/11)*l/l**(1/4))**(-1/9) assuming l is positive.\n' | b'l**(-1223/1716)\n' | b'Simplify (((l*l**7)/l)/(l/l**(-2/13))*l**(-2/11)*l/l**(1/4))**(-1/9) assuming l is positive.\n' | b'l**(-1223/1716)\n' | deepmind/math_dataset |
b'Suppose 4*k - 92 = -4*h, 2*k + 3*h - 48 = -1. What is the second derivative of k*m**4 + 36*m - 16*m**4 - 7*m wrt m?\n' | b'72*m**2\n' | b'Suppose 4*k - 92 = -4*h, 2*k + 3*h - 48 = -1. What is the second derivative of k*m**4 + 36*m - 16*m**4 - 7*m wrt m?\n' | b'72*m**2\n' | deepmind/math_dataset |
b'Let g be 8/(-4)*(-8)/4. Solve g*t - 7 = -5*k, 5*t + 1 = -4*k + 3 for k.\n' | b'3\n' | b'Let g be 8/(-4)*(-8)/4. Solve g*t - 7 = -5*k, 5*t + 1 = -4*k + 3 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 1, e: 1, c: 1, b: 5, j: 3}. Give prob of sequence cbbb.\n' | b'1/132\n' | b'Four letters picked without replacement from {v: 1, e: 1, c: 1, b: 5, j: 3}. Give prob of sequence cbbb.\n' | b'1/132\n' | deepmind/math_dataset |
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