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'Three letters picked without replacement from nyegeme. What is prob of picking 1 e, 1 m, and 1 n?\n' | b'3/35\n' | b'Three letters picked without replacement from nyegeme. What is prob of picking 1 e, 1 m, and 1 n?\n' | b'3/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, w: 1, c: 1, t: 1}. What is prob of sequence twc?\n' | b'1/60\n' | b'Three letters picked without replacement from {q: 2, w: 1, c: 1, t: 1}. What is prob of sequence twc?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose 2*k - 10 = -2. Solve 0 = 2*t - k*g - 6, -3 = 2*t + 2*g - 3*g for t.\n' | b'-3\n' | b'Suppose 2*k - 10 = -2. Solve 0 = 2*t - k*g - 6, -3 = 2*t + 2*g - 3*g for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbub. What is prob of picking 2 b?\n' | b'1/2\n' | b'Two letters picked without replacement from bbub. What is prob of picking 2 b?\n' | b'1/2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, v: 1, f: 4, q: 1, x: 1, h: 5}. Give prob of picking 1 v, 1 y, and 2 f.\n' | b'7/646\n' | b'Four letters picked without replacement from {y: 7, v: 1, f: 4, q: 1, x: 1, h: 5}. Give prob of picking 1 v, 1 y, and 2 f.\n' | b'7/646\n' | deepmind/math_dataset |
b'Find the third derivative of 3*r**2 - 5*r**6 + 11*r**2 - 4*r**6 - 5*r**2 wrt r.\n' | b'-1080*r**3\n' | b'Find the third derivative of 3*r**2 - 5*r**6 + 11*r**2 - 4*r**6 - 5*r**2 wrt r.\n' | b'-1080*r**3\n' | deepmind/math_dataset |
b'Let x(w) = -230*w + 1611. Let s be x(7). Solve -i = 5*k + s, 5*i + 3 = -3*k - 2 for k.\n' | b'0\n' | b'Let x(w) = -230*w + 1611. Let s be x(7). Solve -i = 5*k + s, 5*i + 3 = -3*k - 2 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(w) = -w**3 + 2*w**2 - w. Let s be (3 + (-1 - 4))*-1. Give a(s).\n' | b'-2\n' | b'Let a(w) = -w**3 + 2*w**2 - w. Let s be (3 + (-1 - 4))*-1. Give a(s).\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(v) = -332*v**2 + 331*v**2 - 15 - 5*v - 10 + 5 - 11*v. Give j(-15).\n' | b'-5\n' | b'Let j(v) = -332*v**2 + 331*v**2 - 15 - 5*v - 10 + 5 - 11*v. Give j(-15).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose a + 4*a + 2*t = 17, t = 2*a - 5. What is the derivative of -2*o**2 + 2*o**2 - 1 - 4*o**3 + 3*o**a wrt o?\n' | b'-3*o**2\n' | b'Suppose a + 4*a + 2*t = 17, t = 2*a - 5. What is the derivative of -2*o**2 + 2*o**2 - 1 - 4*o**3 + 3*o**a wrt o?\n' | b'-3*o**2\n' | deepmind/math_dataset |
b'Let k = 401 + -387. Suppose -15*b + 4 = -14*b. Solve b*q + y - 8 = 0, 0 = q + q + 5*y + k for q.\n' | b'3\n' | b'Let k = 401 + -387. Suppose -15*b + 4 = -14*b. Solve b*q + y - 8 = 0, 0 = q + q + 5*y + k for q.\n' | b'3\n' | deepmind/math_dataset |
b'Let t be 6 - 0/(63/(-3)). Let q(c) = c**2 - 1. Let v(h) = 7*h**2 - 11*h. Let k(i) = -6*q(i) + v(i). Calculate k(t).\n' | b'-24\n' | b'Let t be 6 - 0/(63/(-3)). Let q(c) = c**2 - 1. Let v(h) = 7*h**2 - 11*h. Let k(i) = -6*q(i) + v(i). Calculate k(t).\n' | b'-24\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, k: 15}.\n' | b'1/19\n' | b'Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, k: 15}.\n' | b'1/19\n' | deepmind/math_dataset |
b'Let q(l) be the first derivative of -22*l**3 - 24*l**2 + 94. What is the second derivative of q(f) wrt f?\n' | b'-132\n' | b'Let q(l) be the first derivative of -22*l**3 - 24*l**2 + 94. What is the second derivative of q(f) wrt f?\n' | b'-132\n' | deepmind/math_dataset |
b'Simplify ((k/(k*k**2))/(k/(k/k**(3/2))*k))**(-5/17)*k*k*k**(-8)*k**(-6)*k**(-3)*k*k**(-1) assuming k is positive.\n' | b'k**(-465/34)\n' | b'Simplify ((k/(k*k**2))/(k/(k/k**(3/2))*k))**(-5/17)*k*k*k**(-8)*k**(-6)*k**(-3)*k*k**(-1) assuming k is positive.\n' | b'k**(-465/34)\n' | deepmind/math_dataset |
b'Let i(q) = -6*q - 9. Let u be (18 - -3 - 4)*1. Suppose u*w + 90 = 7*w. Calculate i(w).\n' | b'45\n' | b'Let i(q) = -6*q - 9. Let u be (18 - -3 - 4)*1. Suppose u*w + 90 = 7*w. Calculate i(w).\n' | b'45\n' | deepmind/math_dataset |
b'Suppose 3*x + 24 - 8 = 5*w, -2*w - 6 = 5*x. Solve -3*f = -5*r + 14, f = w*r - f - 4 for r.\n' | b'4\n' | b'Suppose 3*x + 24 - 8 = 5*w, -2*w - 6 = 5*x. Solve -3*f = -5*r + 14, f = w*r - f - 4 for r.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 s, and 1 v when three letters picked without replacement from uvcccoocuksu?\n' | b'1/110\n' | b'What is prob of picking 1 o, 1 s, and 1 v when three letters picked without replacement from uvcccoocuksu?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let j(l) = 6*l**3 + l**2 + 4*l - 4. Let w be j(1). Find the first derivative of 7 - w*t + t - 3*t**2 + 2*t - 2*t wrt t.\n' | b'-6*t - 6\n' | b'Let j(l) = 6*l**3 + l**2 + 4*l - 4. Let w be j(1). Find the first derivative of 7 - w*t + t - 3*t**2 + 2*t - 2*t wrt t.\n' | b'-6*t - 6\n' | deepmind/math_dataset |
b'Let w(y) = -13516*y**3 + 15*y**2 + 14*y - 23. Let k(f) = -6756*f**3 + 7*f**2 + 7*f - 11. Let n(g) = 21*k(g) - 10*w(g). Find the third derivative of n(l) wrt l.\n' | b'-40296\n' | b'Let w(y) = -13516*y**3 + 15*y**2 + 14*y - 23. Let k(f) = -6756*f**3 + 7*f**2 + 7*f - 11. Let n(g) = 21*k(g) - 10*w(g). Find the third derivative of n(l) wrt l.\n' | b'-40296\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwv. What is prob of picking 2 w?\n' | b'1/3\n' | b'Two letters picked without replacement from wwv. What is prob of picking 2 w?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let z(y) = y**3 - 3*y**2 + 3*y - 5. Let n(s) = s**3 - 4*s**2 + 4*s - 5. Let g(m) = 4*n(m) - 5*z(m). Suppose 3*h + 4*d + 4 = 0, -2*h - 2*h - 5 = 5*d. Give g(h).\n' | b'5\n' | b'Let z(y) = y**3 - 3*y**2 + 3*y - 5. Let n(s) = s**3 - 4*s**2 + 4*s - 5. Let g(m) = 4*n(m) - 5*z(m). Suppose 3*h + 4*d + 4 = 0, -2*h - 2*h - 5 = 5*d. Give g(h).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, d: 2, j: 1}. Give prob of sequence zzjd.\n' | b'1/30\n' | b'Four letters picked without replacement from {z: 2, d: 2, j: 1}. Give prob of sequence zzjd.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let f(k) be the second derivative of -k**5/20 - k**4/4 + k**3/2 + k**2 - 83*k. Calculate f(-4).\n' | b'6\n' | b'Let f(k) be the second derivative of -k**5/20 - k**4/4 + k**3/2 + k**2 - 83*k. Calculate f(-4).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ulqrulluullulllu. What is prob of picking 1 q and 1 l?\n' | b'1/15\n' | b'Two letters picked without replacement from ulqrulluullulllu. What is prob of picking 1 q and 1 l?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let z = -53 + 45. Let h = z - -13. Solve 0 = -u - h*b - 15, -3*b = 2*b + 15 for u.\n' | b'0\n' | b'Let z = -53 + 45. Let h = z - -13. Solve 0 = -u - h*b - 15, -3*b = 2*b + 15 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let v be -1*(-9)/3*1. Differentiate 4*i**3 + 7 - 2*i**v - 20*i**3 + 6 with respect to i.\n' | b'-54*i**2\n' | b'Let v be -1*(-9)/3*1. Differentiate 4*i**3 + 7 - 2*i**v - 20*i**3 + 6 with respect to i.\n' | b'-54*i**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from crcxxxxxxxccxkxrcr. Give prob of sequence kx.\n' | b'1/34\n' | b'Two letters picked without replacement from crcxxxxxxxccxkxrcr. Give prob of sequence kx.\n' | b'1/34\n' | deepmind/math_dataset |
b'Let k be (-2)/6 - 2/3. Let x be (-2 - k) + 0 - 0. Let j(y) = 8*y**2 + y. Determine j(x).\n' | b'7\n' | b'Let k be (-2)/6 - 2/3. Let x be (-2 - k) + 0 - 0. Let j(y) = 8*y**2 + y. Determine j(x).\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 5, r: 1, q: 2, e: 1}. Give prob of picking 2 a.\n' | b'5/18\n' | b'Two letters picked without replacement from {a: 5, r: 1, q: 2, e: 1}. Give prob of picking 2 a.\n' | b'5/18\n' | deepmind/math_dataset |
b'Simplify (w**(-3/7)*(w*w**(-7/6)/w*w)/w)/(w/w**(2/33)*w)**(-1/11) assuming w is positive.\n' | b'w**(-7211/5082)\n' | b'Simplify (w**(-3/7)*(w*w**(-7/6)/w*w)/w)/(w/w**(2/33)*w)**(-1/11) assuming w is positive.\n' | b'w**(-7211/5082)\n' | deepmind/math_dataset |
b'Suppose 0*i + 16 = -2*i. Let p(f) = -f**2 - 9*f - 2. Let m be p(i). Let j(u) = m*u + 6*u**2 + 0*u**3 - u**2 + u**3. Give j(-4).\n' | b'-8\n' | b'Suppose 0*i + 16 = -2*i. Let p(f) = -f**2 - 9*f - 2. Let m be p(i). Let j(u) = m*u + 6*u**2 + 0*u**3 - u**2 + u**3. Give j(-4).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (b/b**14*b)/((b*b**(2/9)/b)/b)*b/(b/(b*b**(3/10)))*b*b**8/b assuming b is positive.\n' | b'b**(-173/90)\n' | b'Simplify (b/b**14*b)/((b*b**(2/9)/b)/b)*b/(b/(b*b**(3/10)))*b*b**8/b assuming b is positive.\n' | b'b**(-173/90)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lkklkblbllllbkbl. What is prob of sequence lkk?\n' | b'1/35\n' | b'Three letters picked without replacement from lkklkblbllllbkbl. What is prob of sequence lkk?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -v = -4*x + 10 + 9, -3*x + 5*v + 10 = 0. Let g(r) = 54*r - 13. Let d(a) = -a - 1. Let c(z) = x*d(z) - g(z). Differentiate c(h) with respect to h.\n' | b'-59\n' | b'Suppose -v = -4*x + 10 + 9, -3*x + 5*v + 10 = 0. Let g(r) = 54*r - 13. Let d(a) = -a - 1. Let c(z) = x*d(z) - g(z). Differentiate c(h) with respect to h.\n' | b'-59\n' | deepmind/math_dataset |
b'Simplify (w/(w*w**(-2)*w*w*w))**42*(w**2*w)**(-6) assuming w is positive.\n' | b'w**(-60)\n' | b'Simplify (w/(w*w**(-2)*w*w*w))**42*(w**2*w)**(-6) assuming w is positive.\n' | b'w**(-60)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y and 1 o when four letters picked without replacement from yyvovvyoyyv.\n' | b'2/33\n' | b'Calculate prob of picking 3 y and 1 o when four letters picked without replacement from yyvovvyoyyv.\n' | b'2/33\n' | deepmind/math_dataset |
b'Simplify (y**(-1/2)/y)**45/((y*y*y**8*y)/(y*y/(y*y**9*y))) assuming y is positive.\n' | b'y**(-175/2)\n' | b'Simplify (y**(-1/2)/y)**45/((y*y*y**8*y)/(y*y/(y*y**9*y))) assuming y is positive.\n' | b'y**(-175/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence cc when two letters picked without replacement from fyyybdcfcbbb.\n' | b'1/66\n' | b'Calculate prob of sequence cc when two letters picked without replacement from fyyybdcfcbbb.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let q(a) = -a**2 + 16*a + 59. Let k be q(18). Suppose -z = -k + 3. Solve 4*h = 2*x - z, -3*x = -2*x - 3*h - 15 for x.\n' | b'0\n' | b'Let q(a) = -a**2 + 16*a + 59. Let k be q(18). Suppose -z = -k + 3. Solve 4*h = 2*x - z, -3*x = -2*x - 3*h - 15 for x.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 4 r when four letters picked without replacement from {h: 2, r: 5}?\n' | b'1/7\n' | b'What is prob of picking 4 r when four letters picked without replacement from {h: 2, r: 5}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let r(v) = -20*v**3 + 2*v**2 + 5*v + 5. Let u(n) = 10*n**3 - n**2 - 2*n - 2. Let i(l) = 3*r(l) + 7*u(l). Let h be 1*(-9)/3 + 1. Let z be 10/4*h/5. Give i(z).\n' | b'-11\n' | b'Let r(v) = -20*v**3 + 2*v**2 + 5*v + 5. Let u(n) = 10*n**3 - n**2 - 2*n - 2. Let i(l) = 3*r(l) + 7*u(l). Let h be 1*(-9)/3 + 1. Let z be 10/4*h/5. Give i(z).\n' | b'-11\n' | deepmind/math_dataset |
b'Let n = -691 + 694. What is the third derivative of 0*d**n - 15*d**3 + 6 - 3*d**6 - 127*d**2 - 4 - 5*d**3 wrt d?\n' | b'-360*d**3 - 120\n' | b'Let n = -691 + 694. What is the third derivative of 0*d**n - 15*d**3 + 6 - 3*d**6 - 127*d**2 - 4 - 5*d**3 wrt d?\n' | b'-360*d**3 - 120\n' | deepmind/math_dataset |
b'Suppose 2*b - 12 = -4*h, -3*b = 3*h - 10 - 17. Let a = b + -10. Solve -5 = -2*y - a*q + 5*q, y + 2*q - 6 = 0 for y.\n' | b'4\n' | b'Suppose 2*b - 12 = -4*h, -3*b = 3*h - 10 - 17. Let a = b + -10. Solve -5 = -2*y - a*q + 5*q, y + 2*q - 6 = 0 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from {d: 2, w: 5, s: 3, q: 2}.\n' | b'1/22\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from {d: 2, w: 5, s: 3, q: 2}.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let x = -25171 + 25174. Suppose -c + 8 - 6 = 0. Solve c*u + 5*h - 15 = -u, 0 = x*u - h - 15 for u.\n' | b'5\n' | b'Let x = -25171 + 25174. Suppose -c + 8 - 6 = 0. Solve c*u + 5*h - 15 = -u, 0 = x*u - h - 15 for u.\n' | b'5\n' | deepmind/math_dataset |
b'Let p(i) = 117*i - 162. Let q(m) = 2*m - 3. Let v(s) = -p(s) + 54*q(s). Give v(2).\n' | b'-18\n' | b'Let p(i) = 117*i - 162. Let q(m) = 2*m - 3. Let v(s) = -p(s) + 54*q(s). Give v(2).\n' | b'-18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 4, r: 2, u: 8}.\n' | b'32/91\n' | b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 4, r: 2, u: 8}.\n' | b'32/91\n' | deepmind/math_dataset |
b'Suppose 3*w + 3*q - 78 = 0, 5*q - 80 = -4*w + 32. Solve -18 = 9*g - 14*g + l, -5*l - w = -g for g.\n' | b'3\n' | b'Suppose 3*w + 3*q - 78 = 0, 5*q - 80 = -4*w + 32. Solve -18 = 9*g - 14*g + l, -5*l - w = -g for g.\n' | b'3\n' | deepmind/math_dataset |
b'Let k = -30 - -31. Differentiate -k - 30*t**4 - 2165*t**3 + 2165*t**3 wrt t.\n' | b'-120*t**3\n' | b'Let k = -30 - -31. Differentiate -k - 30*t**4 - 2165*t**3 + 2165*t**3 wrt t.\n' | b'-120*t**3\n' | deepmind/math_dataset |
b'Let r = -98 + 103. Solve r*c - 24 = -x, 3*x - 7 = -4*c + 2*c for c.\n' | b'5\n' | b'Let r = -98 + 103. Solve r*c - 24 = -x, 3*x - 7 = -4*c + 2*c for c.\n' | b'5\n' | deepmind/math_dataset |
b'Let m(z) = -z**3 - 6. Let n be m(0). Let y = -683 + 691. Let h = y + n. Solve -2*w - 4 = h*x, 0*x + 5*w + 14 = -x for x.\n' | b'1\n' | b'Let m(z) = -z**3 - 6. Let n be m(0). Let y = -683 + 691. Let h = y + n. Solve -2*w - 4 = h*x, 0*x + 5*w + 14 = -x for x.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((l**(-2/3)/l)/l)/l*(l**12/l*l)/l)**19 assuming l is positive.\n' | b'l**(418/3)\n' | b'Simplify (((l**(-2/3)/l)/l)/l*(l**12/l*l)/l)**19 assuming l is positive.\n' | b'l**(418/3)\n' | deepmind/math_dataset |
b'Simplify ((z/z**(2/25))/z**(-12))**7 assuming z is positive.\n' | b'z**(2261/25)\n' | b'Simplify ((z/z**(2/25))/z**(-12))**7 assuming z is positive.\n' | b'z**(2261/25)\n' | deepmind/math_dataset |
b'What is the third derivative of 3891 + 692*d**5 - 1256*d**2 - 3625*d**5 - 3891 wrt d?\n' | b'-175980*d**2\n' | b'What is the third derivative of 3891 + 692*d**5 - 1256*d**2 - 3625*d**5 - 3891 wrt d?\n' | b'-175980*d**2\n' | deepmind/math_dataset |
b'Let r(h) = h + 3. Let v be r(-3). Suppose -b + v*b = -44. Suppose -w + 4*y = -28, -b = w - 3*w + 5*y. Solve 1 = f, 5*a - 2*f - w = f for a.\n' | b'3\n' | b'Let r(h) = h + 3. Let v be r(-3). Suppose -b + v*b = -44. Suppose -w + 4*y = -28, -b = w - 3*w + 5*y. Solve 1 = f, 5*a - 2*f - w = f for a.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0*b - 2*b - 450 = -2*n, -685 = -3*n - 2*b. Find the second derivative of 84*x**5 - n*x**5 - 25*x**5 - 85*x**5 - 226*x wrt x.\n' | b'-5060*x**3\n' | b'Suppose 0*b - 2*b - 450 = -2*n, -685 = -3*n - 2*b. Find the second derivative of 84*x**5 - n*x**5 - 25*x**5 - 85*x**5 - 226*x wrt x.\n' | b'-5060*x**3\n' | deepmind/math_dataset |
b'Simplify (((o*o**(-5))/o**(-2/11))/(o/(o**(3/2)/o)*o**5/o))**(1/21) assuming o is positive.\n' | b'o**(-61/154)\n' | b'Simplify (((o*o**(-5))/o**(-2/11))/(o/(o**(3/2)/o)*o**5/o))**(1/21) assuming o is positive.\n' | b'o**(-61/154)\n' | deepmind/math_dataset |
b'Suppose -6*r + 2 = -5*r, 64 = 5*b + 2*r. Let h(l) = -l**3 + 12*l**2 - 2*l + 26. Let v be h(b). Let f(p) = p. What is f(v)?\n' | b'2\n' | b'Suppose -6*r + 2 = -5*r, 64 = 5*b + 2*r. Let h(l) = -l**3 + 12*l**2 - 2*l + 26. Let v be h(b). Let f(p) = p. What is f(v)?\n' | b'2\n' | deepmind/math_dataset |
b'Let d be 4 - (8 + (-2 - -2)). Let b(n) = -3*n + 32. Let m(s) = -3*s + 38. Let u(q) = 7*b(q) - 6*m(q). Determine u(d).\n' | b'8\n' | b'Let d be 4 - (8 + (-2 - -2)). Let b(n) = -3*n + 32. Let m(s) = -3*s + 38. Let u(q) = 7*b(q) - 6*m(q). Determine u(d).\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 4, k: 9, f: 1, m: 2, z: 4}. What is prob of sequence dkkm?\n' | b'8/1615\n' | b'Four letters picked without replacement from {d: 4, k: 9, f: 1, m: 2, z: 4}. What is prob of sequence dkkm?\n' | b'8/1615\n' | deepmind/math_dataset |
b'Let a(q) = q - 6. Let s(n) = -6. Let r(z) = -2*a(z) + 3*s(z). Let d(t) = 11*t - 61. Let m be d(5). Determine r(m).\n' | b'6\n' | b'Let a(q) = q - 6. Let s(n) = -6. Let r(z) = -2*a(z) + 3*s(z). Let d(t) = 11*t - 61. Let m be d(5). Determine r(m).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence huh when three letters picked without replacement from hhjuhuhziuhw.\n' | b'1/22\n' | b'Calculate prob of sequence huh when three letters picked without replacement from hhjuhuhziuhw.\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify (c**(2/3)/(c**0/c)*c/c**7*c*c**6)/(c**(-3/5)*c**(1/2)*c**7/(c**(-2/5)*c)) assuming c is positive.\n' | b'c**(-109/30)\n' | b'Simplify (c**(2/3)/(c**0/c)*c/c**7*c*c**6)/(c**(-3/5)*c**(1/2)*c**7/(c**(-2/5)*c)) assuming c is positive.\n' | b'c**(-109/30)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ahcaahacahaaachaaa. Give prob of picking 1 a and 3 h.\n' | b'11/765\n' | b'Four letters picked without replacement from ahcaahacahaaachaaa. Give prob of picking 1 a and 3 h.\n' | b'11/765\n' | deepmind/math_dataset |
b'Let g(w) = 4*w**2 + 9*w - 9. Let l(s) = -2*s**2 - 5*s + 5. Let q(o) = -4*g(o) - 7*l(o). Let y(z) be the first derivative of q(z). Give y(1).\n' | b'-5\n' | b'Let g(w) = 4*w**2 + 9*w - 9. Let l(s) = -2*s**2 - 5*s + 5. Let q(o) = -4*g(o) - 7*l(o). Let y(z) be the first derivative of q(z). Give y(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify n**(1/33)/(n/(n**(-9/11)*n)) assuming n is positive.\n' | b'n**(-26/33)\n' | b'Simplify n**(1/33)/(n/(n**(-9/11)*n)) assuming n is positive.\n' | b'n**(-26/33)\n' | deepmind/math_dataset |
b'Suppose 61 - 329 = -67*l. Solve -4*n + 3*n - q = 0, -1 = 5*n + l*q for n.\n' | b'-1\n' | b'Suppose 61 - 329 = -67*l. Solve -4*n + 3*n - q = 0, -1 = 5*n + l*q for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((r*r/r**(3/13))/(r**11*r))/(r**4/r)**(-20) assuming r is positive.\n' | b'r**(647/13)\n' | b'Simplify ((r*r/r**(3/13))/(r**11*r))/(r**4/r)**(-20) assuming r is positive.\n' | b'r**(647/13)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 2 c, and 1 q when four letters picked without replacement from {q: 9, k: 2, c: 5}?\n' | b'9/91\n' | b'What is prob of picking 1 k, 2 c, and 1 q when four letters picked without replacement from {q: 9, k: 2, c: 5}?\n' | b'9/91\n' | deepmind/math_dataset |
b'Suppose 2*q - 6*q = 0. Let v = 4 - q. Suppose -10 = -2*a - i - 9, -2*a + 5*i = 5. Solve -3*d = -l - v*d - 3, a = 2*d + 10 for l.\n' | b'2\n' | b'Suppose 2*q - 6*q = 0. Let v = 4 - q. Suppose -10 = -2*a - i - 9, -2*a + 5*i = 5. Solve -3*d = -l - v*d - 3, a = 2*d + 10 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(x) = -1593*x - 1089. Let k(y) = 199*y + 136. Let w(p) = 4*i(p) + 33*k(p). What is the derivative of w(s) wrt s?\n' | b'195\n' | b'Let i(x) = -1593*x - 1089. Let k(y) = 199*y + 136. Let w(p) = 4*i(p) + 33*k(p). What is the derivative of w(s) wrt s?\n' | b'195\n' | deepmind/math_dataset |
b'Calculate prob of sequence lbbf when four letters picked without replacement from {f: 1, l: 1, p: 1, b: 8, k: 3, w: 2}.\n' | b'1/780\n' | b'Calculate prob of sequence lbbf when four letters picked without replacement from {f: 1, l: 1, p: 1, b: 8, k: 3, w: 2}.\n' | b'1/780\n' | deepmind/math_dataset |
b'Let a be (4 + -23 + 7)/(-2). Suppose 5*d + 0 = 5, -4*j + 2*d + a = 0. Solve 5*h - 2*r = -5*r - 14, -j*h + 5*r - 18 = 0 for h.\n' | b'-4\n' | b'Let a be (4 + -23 + 7)/(-2). Suppose 5*d + 0 = 5, -4*j + 2*d + a = 0. Solve 5*h - 2*r = -5*r - 14, -j*h + 5*r - 18 = 0 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*g + 0 = 12. Solve 5*d + 5*v + g + 4 = 0, 3*d + 18 = v for d.\n' | b'-5\n' | b'Suppose 2*g + 0 = 12. Solve 5*d + 5*v + g + 4 = 0, 3*d + 18 = v for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be ((-6)/(-4))/((25/5)/5). Let w(v) be the first derivative of 0*v - 1 + 0*v**3 - o*v**2 + 2/5*v**5 + 0*v**4. Find the second derivative of w(r) wrt r.\n' | b'24*r**2\n' | b'Let o be ((-6)/(-4))/((25/5)/5). Let w(v) be the first derivative of 0*v - 1 + 0*v**3 - o*v**2 + 2/5*v**5 + 0*v**4. Find the second derivative of w(r) wrt r.\n' | b'24*r**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iahwwhwzwa. Give prob of picking 1 i and 1 z.\n' | b'1/45\n' | b'Two letters picked without replacement from iahwwhwzwa. Give prob of picking 1 i and 1 z.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let c(u) = -u**2 + 7*u + 1. Let m(d) = 4*d - 33. Let w(q) = c(q) + m(q). Give w(9).\n' | b'-14\n' | b'Let c(u) = -u**2 + 7*u + 1. Let m(d) = 4*d - 33. Let w(q) = c(q) + m(q). Give w(9).\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, k: 1, c: 3, w: 3, r: 3, e: 1}. Give prob of sequence wg.\n' | b'1/26\n' | b'Two letters picked without replacement from {g: 2, k: 1, c: 3, w: 3, r: 3, e: 1}. Give prob of sequence wg.\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -r - 5*z = 0, 0 = 3*z - 2*z. Solve 0 = 4*s - 3*h - 0*h + 24, -5*h + 20 = r for s.\n' | b'-3\n' | b'Suppose -r - 5*z = 0, 0 = 3*z - 2*z. Solve 0 = 4*s - 3*h - 0*h + 24, -5*h + 20 = r for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -4*t - w = -19, 0 = t - 20*w + 23*w - 2. Let c be 6*(9/6)/3. Solve 0 = t*k - 15, -g - 5 = -c*g + k for g.\n' | b'4\n' | b'Suppose -4*t - w = -19, 0 = t - 20*w + 23*w - 2. Let c be 6*(9/6)/3. Solve 0 = t*k - 15, -g - 5 = -c*g + k for g.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (w**(2/3)*w**(-2/49)*(w**(-13))**(4/3))**14 assuming w is positive.\n' | b'w**(-4912/21)\n' | b'Simplify (w**(2/3)*w**(-2/49)*(w**(-13))**(4/3))**14 assuming w is positive.\n' | b'w**(-4912/21)\n' | deepmind/math_dataset |
b'Simplify ((t**(3/5))**(-37))**40 assuming t is positive.\n' | b't**(-888)\n' | b'Simplify ((t**(3/5))**(-37))**40 assuming t is positive.\n' | b't**(-888)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 s when two letters picked without replacement from ysgrddiiisidyyy.\n' | b'8/105\n' | b'Calculate prob of picking 1 i and 1 s when two letters picked without replacement from ysgrddiiisidyyy.\n' | b'8/105\n' | deepmind/math_dataset |
b'Simplify (((a**(-31)/a)/(a/(a*a/(((a**(2/57)/a)/a)/a))))**(3/11))**(-4/7) assuming a is positive.\n' | b'a**(6392/1463)\n' | b'Simplify (((a**(-31)/a)/(a/(a*a/(((a**(2/57)/a)/a)/a))))**(3/11))**(-4/7) assuming a is positive.\n' | b'a**(6392/1463)\n' | deepmind/math_dataset |
b'Simplify a**(-8/11)/(a*a**(-6/11)) assuming a is positive.\n' | b'a**(-13/11)\n' | b'Simplify a**(-8/11)/(a*a**(-6/11)) assuming a is positive.\n' | b'a**(-13/11)\n' | deepmind/math_dataset |
b'Suppose -t - 2*x - 3 = 0, 4 = -t - 3*x - 4. Let s(f) be the third derivative of -1/120*f**6 + 1/24*f**4 + 0 - 5/3*f**3 + 0*f + 7/60*f**5 + f**2. What is s(t)?\n' | b'-3\n' | b'Suppose -t - 2*x - 3 = 0, 4 = -t - 3*x - 4. Let s(f) be the third derivative of -1/120*f**6 + 1/24*f**4 + 0 - 5/3*f**3 + 0*f + 7/60*f**5 + f**2. What is s(t)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 6, i: 6}?\n' | b'6/11\n' | b'What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 6, i: 6}?\n' | b'6/11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bybybpbbzryy. Give prob of sequence zy.\n' | b'1/33\n' | b'Two letters picked without replacement from bybybpbbzryy. Give prob of sequence zy.\n' | b'1/33\n' | deepmind/math_dataset |
b'Find the third derivative of q**3 - q**2 + q**6 + 7*q - 5*q - 29*q**6 + 12*q wrt q.\n' | b'-3360*q**3 + 6\n' | b'Find the third derivative of q**3 - q**2 + q**6 + 7*q - 5*q - 29*q**6 + 12*q wrt q.\n' | b'-3360*q**3 + 6\n' | deepmind/math_dataset |
b'Simplify ((g/(g**(-2/37)*g))/(g/g**(-8/9)*g*g))/(g/(g/(g/(g/g**5)))*g*g**(-9)) assuming g is positive.\n' | b'g**(-278/333)\n' | b'Simplify ((g/(g**(-2/37)*g))/(g/g**(-8/9)*g*g))/(g/(g/(g/(g/g**5)))*g*g**(-9)) assuming g is positive.\n' | b'g**(-278/333)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hdedd. Give prob of picking 3 d and 1 e.\n' | b'1/5\n' | b'Four letters picked without replacement from hdedd. Give prob of picking 3 d and 1 e.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let z(u) be the second derivative of u**3/6 + 4*u**2 + 15*u. What is z(-6)?\n' | b'2\n' | b'Let z(u) be the second derivative of u**3/6 + 4*u**2 + 15*u. What is z(-6)?\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 7, m: 9}. Give prob of sequence pmp.\n' | b'9/80\n' | b'Three letters picked without replacement from {p: 7, m: 9}. Give prob of sequence pmp.\n' | b'9/80\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, p: 2, g: 1, f: 2, l: 1, r: 2}. Give prob of picking 2 l and 1 f.\n' | b'0\n' | b'Three letters picked without replacement from {q: 1, p: 2, g: 1, f: 2, l: 1, r: 2}. Give prob of picking 2 l and 1 f.\n' | b'0\n' | deepmind/math_dataset |
b'Let q be -1*(-1)/(3/3). Let h be 28 + 2/1 - q. Let t = 53 - h. Solve 0 = 7*i - 3*i - 4*a + t, a + 12 = -5*i for i.\n' | b'-3\n' | b'Let q be -1*(-1)/(3/3). Let h be 28 + 2/1 - q. Let t = 53 - h. Solve 0 = 7*i - 3*i - 4*a + t, a + 12 = -5*i for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(u) = 751*u - 751*u - u**2 + 2. Determine m(-2).\n' | b'-2\n' | b'Let m(u) = 751*u - 751*u - u**2 + 2. Determine m(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from {t: 2, q: 11, e: 1, y: 4, c: 1, x: 1}?\n' | b'11/38\n' | b'What is prob of sequence qq when two letters picked without replacement from {t: 2, q: 11, e: 1, y: 4, c: 1, x: 1}?\n' | b'11/38\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 x when two letters picked without replacement from qxzjjjjxjjkjx?\n' | b'1/26\n' | b'What is prob of picking 1 z and 1 x when two letters picked without replacement from qxzjjjjxjjkjx?\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -3*b = -5*t + 35, 6*b + 4*t + 9 = b. Let p(l) = -2*l - 5*l**2 + 2*l**3 + 4*l + 6 - 3*l**3. Determine p(b).\n' | b'-4\n' | b'Suppose -3*b = -5*t + 35, 6*b + 4*t + 9 = b. Let p(l) = -2*l - 5*l**2 + 2*l**3 + 4*l + 6 - 3*l**3. Determine p(b).\n' | b'-4\n' | deepmind/math_dataset |
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