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 o be 10/(-4)*(-3 + 1). Suppose -o*p + 2*m - 3*m + 16 = 0, 0 = -4*p + 5*m + 7. Solve -4*w + 2*x = 28, -2 - 35 = 5*w - p*x for w.\n' | b'-5\n' | b'Let o be 10/(-4)*(-3 + 1). Suppose -o*p + 2*m - 3*m + 16 = 0, 0 = -4*p + 5*m + 7. Solve -4*w + 2*x = 28, -2 - 35 = 5*w - p*x for w.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 1, c: 1, x: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 1, c: 1, x: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let o be -3 + 4/2 - -3. Find the third derivative of -4*i**3 - 3*i**o + i**2 + 5*i**3 wrt i.\n' | b'6\n' | b'Let o be -3 + 4/2 - -3. Find the third derivative of -4*i**3 - 3*i**o + i**2 + 5*i**3 wrt i.\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((p**(-2/15)/p)**(-6/13))**40/((p/((p/p**(-2/35))/p*p*p))/(p**14/p))**(3/17) assuming p is positive.\n' | b'p**(181028/7735)\n' | b'Simplify ((p**(-2/15)/p)**(-6/13))**40/((p/((p/p**(-2/35))/p*p*p))/(p**14/p))**(3/17) assuming p is positive.\n' | b'p**(181028/7735)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zgcczczgzzcgccczczc. What is prob of picking 4 c?\n' | b'21/646\n' | b'Four letters picked without replacement from zgcczczgzzcgccczczc. What is prob of picking 4 c?\n' | b'21/646\n' | deepmind/math_dataset |
b'Let r be -2*(-1)/(-2) + 1. Let t = 15 - 12. Let s = -2 + t. Solve r = -4*m - 2*v - 8 + 26, v - s = 2*m for m.\n' | b'2\n' | b'Let r be -2*(-1)/(-2) + 1. Let t = 15 - 12. Let s = -2 + t. Solve r = -4*m - 2*v - 8 + 26, v - s = 2*m for m.\n' | b'2\n' | deepmind/math_dataset |
b'Let d = 2 - 0. Let f(n) be the second derivative of n**5/10 - n**4/4 + n**2/2 - 2*n + 40. Let w be f(d). Solve r - 7 = 4*h, -w*r - 4*h = h - 10 for r.\n' | b'3\n' | b'Let d = 2 - 0. Let f(n) be the second derivative of n**5/10 - n**4/4 + n**2/2 - 2*n + 40. Let w be f(d). Solve r - 7 = 4*h, -w*r - 4*h = h - 10 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (l*l/(l*l**(-5))*l)**37 assuming l is positive.\n' | b'l**259\n' | b'Simplify (l*l/(l*l**(-5))*l)**37 assuming l is positive.\n' | b'l**259\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rxixxaaxxarrirxexrra. What is prob of picking 1 x and 2 i?\n' | b'7/1140\n' | b'Three letters picked without replacement from rxixxaaxxarrirxexrra. What is prob of picking 1 x and 2 i?\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let u(a) = 3353*a**4 - 20*a**3 - 4*a - 4500. Let c(w) = -6705*w**4 + 35*w**3 + 7*w + 9001. Let i(p) = 4*c(p) + 7*u(p). What is the derivative of i(g) wrt g?\n' | b'-13396*g**3\n' | b'Let u(a) = 3353*a**4 - 20*a**3 - 4*a - 4500. Let c(w) = -6705*w**4 + 35*w**3 + 7*w + 9001. Let i(p) = 4*c(p) + 7*u(p). What is the derivative of i(g) wrt g?\n' | b'-13396*g**3\n' | deepmind/math_dataset |
b'Suppose -5*m - 20 = 0, -5*m - 36 = -2*t - 2*t. Let o be ((-12)/2)/(-6 - (-3 + -1)). Let j = -155 + 159. Solve 3*q - 5*w - j = 3, t*q - o*w - 13 = 0 for q.\n' | b'4\n' | b'Suppose -5*m - 20 = 0, -5*m - 36 = -2*t - 2*t. Let o be ((-12)/2)/(-6 - (-3 + -1)). Let j = -155 + 159. Solve 3*q - 5*w - j = 3, t*q - o*w - 13 = 0 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(l) be the first derivative of 31/2*l**2 - 83/6*l**6 + 0*l**4 + 0*l**5 + 0*l + 170 - 1/3*l**3. Find the third derivative of x(f) wrt f.\n' | b'-4980*f**2\n' | b'Let x(l) be the first derivative of 31/2*l**2 - 83/6*l**6 + 0*l**4 + 0*l**5 + 0*l + 170 - 1/3*l**3. Find the third derivative of x(f) wrt f.\n' | b'-4980*f**2\n' | deepmind/math_dataset |
b'Let v(g) = 698*g**3 - 38*g**2 + 8*g + 11. Let n(b) = 697*b**3 - 40*b**2 + 10*b + 12. Let q(s) = -4*n(s) + 5*v(s). Find the third derivative of q(z) wrt z.\n' | b'4212\n' | b'Let v(g) = 698*g**3 - 38*g**2 + 8*g + 11. Let n(b) = 697*b**3 - 40*b**2 + 10*b + 12. Let q(s) = -4*n(s) + 5*v(s). Find the third derivative of q(z) wrt z.\n' | b'4212\n' | deepmind/math_dataset |
b'Four letters picked without replacement from laavlzzllltzlmtlta. What is prob of sequence zzta?\n' | b'1/1360\n' | b'Four letters picked without replacement from laavlzzllltzlmtlta. What is prob of sequence zzta?\n' | b'1/1360\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {t: 1, b: 1, v: 2, o: 1, k: 1, z: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {t: 1, b: 1, v: 2, o: 1, k: 1, z: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let j(f) = -f**3 - 17*f**2 + 16*f - 34. Let t be j(-18). Let o be 1/(t*((-4)/24)/(-1)). Solve -3*i + 2*k - 8 = -i, -3*k + o = 0 for i.\n' | b'-3\n' | b'Let j(f) = -f**3 - 17*f**2 + 16*f - 34. Let t be j(-18). Let o be 1/(t*((-4)/24)/(-1)). Solve -3*i + 2*k - 8 = -i, -3*k + o = 0 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((h/(h*h*h/(h**(-2/67)/h)))/h)**(-25)*(h**(-17))**(2/17) assuming h is positive.\n' | b'h**(6616/67)\n' | b'Simplify ((h/(h*h*h/(h**(-2/67)/h)))/h)**(-25)*(h**(-17))**(2/17) assuming h is positive.\n' | b'h**(6616/67)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttwtdbdpwddyyb. Give prob of picking 2 b.\n' | b'1/91\n' | b'Two letters picked without replacement from ttwtdbdpwddyyb. Give prob of picking 2 b.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let m(r) = 200*r**4 - 3*r**3 - 3*r + 256. Let w(u) = -3199*u**4 + 49*u**3 + 49*u - 4095. Let n(f) = -49*m(f) - 3*w(f). Differentiate n(h) wrt h.\n' | b'-812*h**3\n' | b'Let m(r) = 200*r**4 - 3*r**3 - 3*r + 256. Let w(u) = -3199*u**4 + 49*u**3 + 49*u - 4095. Let n(f) = -49*m(f) - 3*w(f). Differentiate n(h) wrt h.\n' | b'-812*h**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hmhhhhwhbwhbwhhhmmb. What is prob of picking 1 b, 2 h, and 1 w?\n' | b'135/1292\n' | b'Four letters picked without replacement from hmhhhhwhbwhbwhhhmmb. What is prob of picking 1 b, 2 h, and 1 w?\n' | b'135/1292\n' | deepmind/math_dataset |
b'Let c(a) be the second derivative of 11*a + 9/2*a**3 + 0 - 2/3*a**4 + 0*a**2. What is the second derivative of c(x) wrt x?\n' | b'-16\n' | b'Let c(a) be the second derivative of 11*a + 9/2*a**3 + 0 - 2/3*a**4 + 0*a**2. What is the second derivative of c(x) wrt x?\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (p**5/(p*(p*p*p**31)/p))/((p**(8/3)*p)/(p*p/p**(-2/93)*p*p)) assuming p is positive.\n' | b'p**(-857/31)\n' | b'Simplify (p**5/(p*(p*p*p**31)/p))/((p**(8/3)*p)/(p*p/p**(-2/93)*p*p)) assuming p is positive.\n' | b'p**(-857/31)\n' | deepmind/math_dataset |
b'Simplify ((((d*d**(5/3)/d)/d)/(d/(d*d**10)*d))**(3/17))**17 assuming d is positive.\n' | b'd**29\n' | b'Simplify ((((d*d**(5/3)/d)/d)/(d/(d*d**10)*d))**(3/17))**17 assuming d is positive.\n' | b'd**29\n' | deepmind/math_dataset |
b'What is prob of sequence bb when two letters picked without replacement from bbb?\n' | b'1\n' | b'What is prob of sequence bb when two letters picked without replacement from bbb?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, e: 4, d: 1}. Give prob of sequence bed.\n' | b'1/28\n' | b'Three letters picked without replacement from {b: 3, e: 4, d: 1}. Give prob of sequence bed.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((i**(2/51)/i)/(i/(((i**(2/13)/i)/i)/i)))**(-24/7) assuming i is positive.\n' | b'i**(25496/1547)\n' | b'Simplify ((i**(2/51)/i)/(i/(((i**(2/13)/i)/i)/i)))**(-24/7) assuming i is positive.\n' | b'i**(25496/1547)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 q when three letters picked without replacement from {q: 9, p: 3}.\n' | b'27/220\n' | b'Calculate prob of picking 2 p and 1 q when three letters picked without replacement from {q: 9, p: 3}.\n' | b'27/220\n' | deepmind/math_dataset |
b'Let r = 4 - -1. Let l be (3 + -5)/((-4)/6). Solve -4*a - r*s + 11 = -5*a, -5*s = l*a - 27 for a.\n' | b'4\n' | b'Let r = 4 - -1. Let l be (3 + -5)/((-4)/6). Solve -4*a - r*s + 11 = -5*a, -5*s = l*a - 27 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(n) be the second derivative of 0*n**2 + 6 + 7*n - 65/12*n**4 + 0*n**3 - 197/30*n**6 + 0*n**5. Find the third derivative of j(k) wrt k.\n' | b'-4728*k\n' | b'Let j(n) be the second derivative of 0*n**2 + 6 + 7*n - 65/12*n**4 + 0*n**3 - 197/30*n**6 + 0*n**5. Find the third derivative of j(k) wrt k.\n' | b'-4728*k\n' | deepmind/math_dataset |
b'Let s = -16 + 18. Find the first derivative of c**2 - 11 + s - 6*c**2 wrt c.\n' | b'-10*c\n' | b'Let s = -16 + 18. Find the first derivative of c**2 - 11 + s - 6*c**2 wrt c.\n' | b'-10*c\n' | deepmind/math_dataset |
b'Suppose -2*p + h - 12 = 6*h, 4*p = -5*h - 4. Find the third derivative of 4*o**4 - 3*o**2 + 18*o**5 - 6*o**4 + 1 + 12*o**4 + 12*o**p - 15*o**5 wrt o.\n' | b'180*o**2 + 528*o\n' | b'Suppose -2*p + h - 12 = 6*h, 4*p = -5*h - 4. Find the third derivative of 4*o**4 - 3*o**2 + 18*o**5 - 6*o**4 + 1 + 12*o**4 + 12*o**p - 15*o**5 wrt o.\n' | b'180*o**2 + 528*o\n' | deepmind/math_dataset |
b'Let h be 7/(42/30) - 0. Let v(q) = -2*q + 5. Calculate v(h).\n' | b'-5\n' | b'Let h be 7/(42/30) - 0. Let v(q) = -2*q + 5. Calculate v(h).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, f: 3, j: 2, t: 6, h: 3}. Give prob of picking 1 i, 1 f, and 1 j.\n' | b'6/455\n' | b'Three letters picked without replacement from {i: 1, f: 3, j: 2, t: 6, h: 3}. Give prob of picking 1 i, 1 f, and 1 j.\n' | b'6/455\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/31)*k)/k)/k**13 assuming k is positive.\n' | b'k**(-405/31)\n' | b'Simplify ((k**(-2/31)*k)/k)/k**13 assuming k is positive.\n' | b'k**(-405/31)\n' | deepmind/math_dataset |
b'Suppose 2*v - 12 = -2. Let o(x) = -3*x + 32. Let q be o(6). Suppose -2*d + 5*c - 35 = -7*d, 2*d - q = 5*c. Solve -3*p = v*u - d*p - 30, 4*u = 5*p + 33 for u.\n' | b'2\n' | b'Suppose 2*v - 12 = -2. Let o(x) = -3*x + 32. Let q be o(6). Suppose -2*d + 5*c - 35 = -7*d, 2*d - q = 5*c. Solve -3*p = v*u - d*p - 30, 4*u = 5*p + 33 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 10, t: 3, e: 2}. What is prob of picking 3 m?\n' | b'24/91\n' | b'Three letters picked without replacement from {m: 10, t: 3, e: 2}. What is prob of picking 3 m?\n' | b'24/91\n' | deepmind/math_dataset |
b'Let v(k) be the third derivative of -k**5/60 + 13*k**4/24 + 5*k**3/3 - k**2 + 100*k. Calculate v(14).\n' | b'-4\n' | b'Let v(k) be the third derivative of -k**5/60 + 13*k**4/24 + 5*k**3/3 - k**2 + 100*k. Calculate v(14).\n' | b'-4\n' | deepmind/math_dataset |
b'Let b = -13 - -16. Suppose p + b*p = 12. Solve 5*d - 2*s - p*s + 35 = 0, -9 = 3*d + s for d.\n' | b'-4\n' | b'Let b = -13 - -16. Suppose p + b*p = 12. Solve 5*d - 2*s - p*s + 35 = 0, -9 = 3*d + s for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 q, and 1 z when three letters picked without replacement from zqqffzlfzz.\n' | b'1/15\n' | b'Calculate prob of picking 1 l, 1 q, and 1 z when three letters picked without replacement from zqqffzlfzz.\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnm when three letters picked without replacement from smmmnsqssnmnsmmsm.\n' | b'7/680\n' | b'Calculate prob of sequence nnm when three letters picked without replacement from smmmnsqssnmnsmmsm.\n' | b'7/680\n' | deepmind/math_dataset |
b'What is prob of sequence ntb when three letters picked without replacement from {t: 1, n: 4, f: 3, b: 2}?\n' | b'1/90\n' | b'What is prob of sequence ntb when three letters picked without replacement from {t: 1, n: 4, f: 3, b: 2}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Let d(v) be the first derivative of 0*v**4 - 1/2*v**2 + v**5 + 9 + 0*v**3 + 0*v. What is the second derivative of d(c) wrt c?\n' | b'60*c**2\n' | b'Let d(v) be the first derivative of 0*v**4 - 1/2*v**2 + v**5 + 9 + 0*v**3 + 0*v. What is the second derivative of d(c) wrt c?\n' | b'60*c**2\n' | deepmind/math_dataset |
b'Let g(n) = -n**3 + 14*n**2 - 4. Let q be g(14). Let a be 17*(-2 + q*6/(-8)). Let w(o) = o**3 - 18*o**2 + 18*o - 11. What is w(a)?\n' | b'6\n' | b'Let g(n) = -n**3 + 14*n**2 - 4. Let q be g(14). Let a be 17*(-2 + q*6/(-8)). Let w(o) = o**3 - 18*o**2 + 18*o - 11. What is w(a)?\n' | b'6\n' | deepmind/math_dataset |
b'Let r be (-25)/10*36/(-15) + 17. Solve 2*w = a, -w = -4*a - 37 + r for w.\n' | b'-2\n' | b'Let r be (-25)/10*36/(-15) + 17. Solve 2*w = a, -w = -4*a - 37 + r for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(j) = j - 2. Let v(h) = -h + 20. Let y be v(14). Suppose -y*s = -2*s. What is g(s)?\n' | b'-2\n' | b'Let g(j) = j - 2. Let v(h) = -h + 20. Let y be v(14). Suppose -y*s = -2*s. What is g(s)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let n = 589 - 585. Solve -4*l - 8 = x, 0 = 3*x - 5*l - 14 + n for x.\n' | b'0\n' | b'Let n = 589 - 585. Solve -4*l - 8 = x, 0 = 3*x - 5*l - 14 + n for x.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttwe when four letters picked without replacement from {w: 2, e: 2, t: 9}.\n' | b'12/715\n' | b'Calculate prob of sequence ttwe when four letters picked without replacement from {w: 2, e: 2, t: 9}.\n' | b'12/715\n' | deepmind/math_dataset |
b'What is prob of sequence uzwd when four letters picked without replacement from wduubblubzuwubl?\n' | b'1/3276\n' | b'What is prob of sequence uzwd when four letters picked without replacement from wduubblubzuwubl?\n' | b'1/3276\n' | deepmind/math_dataset |
b'Let a(v) = -v**3 - 3*v**2 - 5*v - 4. Let b be a(-4). Let p = b + -38. Let k(y) = 3*y + 3. Let z(o) = -5*o - 5. Let c(m) = 7*k(m) + 4*z(m). What is c(p)?\n' | b'-5\n' | b'Let a(v) = -v**3 - 3*v**2 - 5*v - 4. Let b be a(-4). Let p = b + -38. Let k(y) = 3*y + 3. Let z(o) = -5*o - 5. Let c(m) = 7*k(m) + 4*z(m). What is c(p)?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rmjmimmmmjijmmibripi. What is prob of picking 1 b and 1 j?\n' | b'3/190\n' | b'Two letters picked without replacement from rmjmimmmmjijmmibripi. What is prob of picking 1 b and 1 j?\n' | b'3/190\n' | deepmind/math_dataset |
b'Let b(y) = -5*y + 70. Let r be b(18). Let m be (-36)/(-10) + r/(-50). Solve -3*u = 4*a - 4*u + 11, -m*u = -3*a - 18 for a.\n' | b'-2\n' | b'Let b(y) = -5*y + 70. Let r be b(18). Let m be (-36)/(-10) + r/(-50). Solve -3*u = 4*a - 4*u + 11, -m*u = -3*a - 18 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(h) be the first derivative of 271*h**3/3 + 3*h**2 - 5*h + 46. Find the second derivative of r(y) wrt y.\n' | b'542\n' | b'Let r(h) be the first derivative of 271*h**3/3 + 3*h**2 - 5*h + 46. Find the second derivative of r(y) wrt y.\n' | b'542\n' | deepmind/math_dataset |
b'What is prob of sequence ddri when four letters picked without replacement from rrriidiiiiiiidi?\n' | b'1/546\n' | b'What is prob of sequence ddri when four letters picked without replacement from rrriidiiiiiiidi?\n' | b'1/546\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 3, m: 9}. What is prob of picking 2 m and 2 i?\n' | b'12/55\n' | b'Four letters picked without replacement from {i: 3, m: 9}. What is prob of picking 2 m and 2 i?\n' | b'12/55\n' | deepmind/math_dataset |
b'Simplify (r**(-7)*r*r**(-9))**5/((r**(1/2))**(-2/5)/(r**0/(r*r*r/(r/(r/((r*r**6)/r)))))) assuming r is positive.\n' | b'r**(-359/5)\n' | b'Simplify (r**(-7)*r*r**(-9))**5/((r**(1/2))**(-2/5)/(r**0/(r*r*r/(r/(r/((r*r**6)/r)))))) assuming r is positive.\n' | b'r**(-359/5)\n' | deepmind/math_dataset |
b'Simplify (((u*u/(u/((u**7/u)/u*u))*u)/(u/(u*u*(u**(-1/14)/u)/u)))/(u*(u/(u*u/u**9*u*u)*u*u)/u*u*u*u**(-1/8)/u*u))**(5/8) assuming u is positive.\n' | b'u**(-825/448)\n' | b'Simplify (((u*u/(u/((u**7/u)/u*u))*u)/(u/(u*u*(u**(-1/14)/u)/u)))/(u*(u/(u*u/u**9*u*u)*u*u)/u*u*u*u**(-1/8)/u*u))**(5/8) assuming u is positive.\n' | b'u**(-825/448)\n' | deepmind/math_dataset |
b'Suppose -34 = -13*x - 8. Let z be 26 - (40/x)/4. Suppose -z = -5*b + y - 0*y, -2*b + 7 = y. Solve b*w - 4*n = 0, -3*w + n + 16 = 2*w for w.\n' | b'4\n' | b'Suppose -34 = -13*x - 8. Let z be 26 - (40/x)/4. Suppose -z = -5*b + y - 0*y, -2*b + 7 = y. Solve b*w - 4*n = 0, -3*w + n + 16 = 2*w for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((((p/p**1)/p)/(p*(p*p**(-2/9))/p))/((p*((p*p**(2/7)*p)/p)/p)/(p**(-4)/p)))**(-3/17))**(-5/9) assuming p is positive.\n' | b'p**(-2540/3213)\n' | b'Simplify (((((p/p**1)/p)/(p*(p*p**(-2/9))/p))/((p*((p*p**(2/7)*p)/p)/p)/(p**(-4)/p)))**(-3/17))**(-5/9) assuming p is positive.\n' | b'p**(-2540/3213)\n' | deepmind/math_dataset |
b'Simplify ((y/y**(-2)*y)**(-2/17)/(y**(-8)*y**0))/(y**(-4/3)/((y**(-1/4)*y*y)/y)*y**(-5)*y*y*y**(-3/5)) assuming y is positive.\n' | b'y**(13477/1020)\n' | b'Simplify ((y/y**(-2)*y)**(-2/17)/(y**(-8)*y**0))/(y**(-4/3)/((y**(-1/4)*y*y)/y)*y**(-5)*y*y*y**(-3/5)) assuming y is positive.\n' | b'y**(13477/1020)\n' | deepmind/math_dataset |
b'Let n be 2 + -2 + 8 + -7. Solve b = -3*b - 4*h - 20, -h - n = -3*b for b.\n' | b'-1\n' | b'Let n be 2 + -2 + 8 + -7. Solve b = -3*b - 4*h - 20, -h - n = -3*b for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (y**(1/28)*y*y**(-10))/(y/(y/((y/y**(-7/4))/y))*y*y/y**(-1/9)) assuming y is positive.\n' | b'y**(-808/63)\n' | b'Simplify (y**(1/28)*y*y**(-10))/(y/(y/((y/y**(-7/4))/y))*y*y/y**(-1/9)) assuming y is positive.\n' | b'y**(-808/63)\n' | deepmind/math_dataset |
b'Let p(l) = -176*l - 4046. Let q be p(-23). Let s(m) be the first derivative of 1 - 1/4*m**4 + q*m**3 - m**2 - 5*m. Give s(5).\n' | b'10\n' | b'Let p(l) = -176*l - 4046. Let q be p(-23). Let s(m) be the first derivative of 1 - 1/4*m**4 + q*m**3 - m**2 - 5*m. Give s(5).\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, q: 19}. What is prob of sequence qqqw?\n' | b'1/20\n' | b'Four letters picked without replacement from {w: 1, q: 19}. What is prob of sequence qqqw?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify q/(q*q**5)*q/(q**(11/2)/q)*(q**3*q*q)/q**(2/19) assuming q is positive.\n' | b'q**(-137/38)\n' | b'Simplify q/(q*q**5)*q/(q**(11/2)/q)*(q**3*q*q)/q**(2/19) assuming q is positive.\n' | b'q**(-137/38)\n' | deepmind/math_dataset |
b'Let z(k) = -13*k**2 - 7*k - 13. Let d(a) = -a**2 + 453*a - 454. Let c be d(1). Determine z(c).\n' | b'-51\n' | b'Let z(k) = -13*k**2 - 7*k - 13. Let d(a) = -a**2 + 453*a - 454. Let c be d(1). Determine z(c).\n' | b'-51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, h: 1, c: 3, u: 2, e: 5, y: 3}. What is prob of sequence urr?\n' | b'0\n' | b'Three letters picked without replacement from {r: 1, h: 1, c: 3, u: 2, e: 5, y: 3}. What is prob of sequence urr?\n' | b'0\n' | deepmind/math_dataset |
b'Let n(c) = 6 + 3*c - 3 + 1 + 0. Calculate n(-4).\n' | b'-8\n' | b'Let n(c) = 6 + 3*c - 3 + 1 + 0. Calculate n(-4).\n' | b'-8\n' | deepmind/math_dataset |
b'Let o(u) = -13*u**2 - 13*u. Let h = 52 - 54. Let q(r) = -13*r**2 - 12*r. Let d(i) = h*o(i) + 3*q(i). What is the second derivative of d(c) wrt c?\n' | b'-26\n' | b'Let o(u) = -13*u**2 - 13*u. Let h = 52 - 54. Let q(r) = -13*r**2 - 12*r. Let d(i) = h*o(i) + 3*q(i). What is the second derivative of d(c) wrt c?\n' | b'-26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, a: 3, k: 1, r: 2, g: 6}. Give prob of picking 1 r and 1 a.\n' | b'1/13\n' | b'Two letters picked without replacement from {l: 1, a: 3, k: 1, r: 2, g: 6}. Give prob of picking 1 r and 1 a.\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify ((a**(-2/15))**(-10))**(27/5)*((a/(a/((a*a**9*a)/a)))/((a*a/(a**(-2/15)*a)*a)/a))**(-8/5) assuming a is positive.\n' | b'a**(-524/75)\n' | b'Simplify ((a**(-2/15))**(-10))**(27/5)*((a/(a/((a*a**9*a)/a)))/((a*a/(a**(-2/15)*a)*a)/a))**(-8/5) assuming a is positive.\n' | b'a**(-524/75)\n' | deepmind/math_dataset |
b'Let q(i) = i**3 - 8*i**2 + 8*i + 5. Let o be -5*(2 + 1 + (-34)/10). Suppose z = -o*x - x + 20, -3*z = -3*x + 12. Give q(x).\n' | b'-19\n' | b'Let q(i) = i**3 - 8*i**2 + 8*i + 5. Let o be -5*(2 + 1 + (-34)/10). Suppose z = -o*x - x + 20, -3*z = -3*x + 12. Give q(x).\n' | b'-19\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 w when four letters picked without replacement from ljjgwppwwjw.\n' | b'1/330\n' | b'Calculate prob of picking 4 w when four letters picked without replacement from ljjgwppwwjw.\n' | b'1/330\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 v when three letters picked without replacement from {v: 2, z: 11}?\n' | b'1/26\n' | b'What is prob of picking 1 z and 2 v when three letters picked without replacement from {v: 2, z: 11}?\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -2*w + 80 - 72 = 0. Suppose w = 5*m + 3*y, 3*m - 5*y + 6*y - 4 = 0. Solve 4*r - 17 = m*k - 3, 0 = 5*r - 2*k - 19 for r.\n' | b'5\n' | b'Suppose -2*w + 80 - 72 = 0. Suppose w = 5*m + 3*y, 3*m - 5*y + 6*y - 4 = 0. Solve 4*r - 17 = m*k - 3, 0 = 5*r - 2*k - 19 for r.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(d) be the first derivative of 4*d**7/7 + 8*d**6 - 103*d**3 - 238. Find the third derivative of w(b) wrt b.\n' | b'480*b**3 + 2880*b**2\n' | b'Let w(d) be the first derivative of 4*d**7/7 + 8*d**6 - 103*d**3 - 238. Find the third derivative of w(b) wrt b.\n' | b'480*b**3 + 2880*b**2\n' | deepmind/math_dataset |
b'Let h(z) be the third derivative of -245*z**5/6 + 1291*z**3/3 - z**2 - 99. What is the derivative of h(n) wrt n?\n' | b'-4900*n\n' | b'Let h(z) be the third derivative of -245*z**5/6 + 1291*z**3/3 - z**2 - 99. What is the derivative of h(n) wrt n?\n' | b'-4900*n\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrik when four letters picked without replacement from {y: 2, i: 6, t: 1, r: 3, x: 1, k: 2}.\n' | b'1/455\n' | b'Calculate prob of sequence rrik when four letters picked without replacement from {y: 2, i: 6, t: 1, r: 3, x: 1, k: 2}.\n' | b'1/455\n' | deepmind/math_dataset |
b'Let n(x) = -x**2 + 24*x - 55. Let g be n(22). Let m(t) = -t**2 - 10*t + 11. Let i be m(g). Solve 0 = -4*v - 2*f + 14, 2*v + 4*f - 7*f - 3 = i for v.\n' | b'3\n' | b'Let n(x) = -x**2 + 24*x - 55. Let g be n(22). Let m(t) = -t**2 - 10*t + 11. Let i be m(g). Solve 0 = -4*v - 2*f + 14, 2*v + 4*f - 7*f - 3 = i for v.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 4, d: 5, p: 1, e: 1, g: 3}. Give prob of picking 1 p and 1 j.\n' | b'4/91\n' | b'Two letters picked without replacement from {j: 4, d: 5, p: 1, e: 1, g: 3}. Give prob of picking 1 p and 1 j.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let p(q) be the second derivative of 23*q**6/30 + 5*q**4/12 + 24*q. Find the third derivative of p(n) wrt n.\n' | b'552*n\n' | b'Let p(q) be the second derivative of 23*q**6/30 + 5*q**4/12 + 24*q. Find the third derivative of p(n) wrt n.\n' | b'552*n\n' | deepmind/math_dataset |
b'Simplify ((g*g*g*g*g**(-1/2))**(-10/3))**(-4)*((g*g*g*g**(-1/3))/g)**(-46)*g**(-4)/g**1 assuming g is positive.\n' | b'g**(-35)\n' | b'Simplify ((g*g*g*g*g**(-1/2))**(-10/3))**(-4)*((g*g*g*g**(-1/3))/g)**(-46)*g**(-4)/g**1 assuming g is positive.\n' | b'g**(-35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oihphszoshhzsos. Give prob of sequence so.\n' | b'2/35\n' | b'Two letters picked without replacement from oihphszoshhzsos. Give prob of sequence so.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify n**(-2/11)/n**(18/11)*n**17/n*n**(5/11) assuming n is positive.\n' | b'n**(161/11)\n' | b'Simplify n**(-2/11)/n**(18/11)*n**17/n*n**(5/11) assuming n is positive.\n' | b'n**(161/11)\n' | deepmind/math_dataset |
b'Let c(g) = g**2. Let z(h) = 268*h**3 + 12*h**2 + 2*h + 310. Let w(r) = 12*c(r) - z(r). Find the first derivative of w(x) wrt x.\n' | b'-804*x**2 - 2\n' | b'Let c(g) = g**2. Let z(h) = 268*h**3 + 12*h**2 + 2*h + 310. Let w(r) = 12*c(r) - z(r). Find the first derivative of w(x) wrt x.\n' | b'-804*x**2 - 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence lig when three letters picked without replacement from lggliiilgiglligigig.\n' | b'245/5814\n' | b'Calculate prob of sequence lig when three letters picked without replacement from lggliiilgiglligigig.\n' | b'245/5814\n' | deepmind/math_dataset |
b'Let x(v) = v**2 + v + 1. Let p = -24 - -42. Suppose -4*w - 6 + p = 0. Suppose -2*r - 3*u + 8 = 0, -u = 5*r - w*u + 18. Give x(r).\n' | b'3\n' | b'Let x(v) = v**2 + v + 1. Let p = -24 - -42. Suppose -4*w - 6 + p = 0. Suppose -2*r - 3*u + 8 = 0, -u = 5*r - w*u + 18. Give x(r).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (u/u**(2/5)*u*u**(1/6)*u*u**(-1/23)*u*u*u*u*u*u*(u**(3/8)*u)/u*u)**(1/86) assuming u is positive.\n' | b'u**(27871/237360)\n' | b'Simplify (u/u**(2/5)*u*u**(1/6)*u*u**(-1/23)*u*u*u*u*u*u*(u**(3/8)*u)/u*u)**(1/86) assuming u is positive.\n' | b'u**(27871/237360)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, w: 7, l: 2, n: 2, s: 5}. What is prob of picking 1 a, 1 w, and 2 n?\n' | b'7/1530\n' | b'Four letters picked without replacement from {a: 2, w: 7, l: 2, n: 2, s: 5}. What is prob of picking 1 a, 1 w, and 2 n?\n' | b'7/1530\n' | deepmind/math_dataset |
b'Let c = -119 + 61. Let o = c + 62. Suppose s + 3 = -h + o, -4*h = 5*s. Solve -2*m + 20 = 4*b, h*m + 6 = -4*b + 26 for m.\n' | b'0\n' | b'Let c = -119 + 61. Let o = c + 62. Suppose s + 3 = -h + o, -4*h = 5*s. Solve -2*m + 20 = 4*b, h*m + 6 = -4*b + 26 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(j) = 12*j**3 + 2*j**2 - 2*j + 9. Let t(f) = 25*f**3 + 5*f**2 - 5*f + 17. Let p(m) = 5*i(m) - 2*t(m). Differentiate p(g) wrt g.\n' | b'30*g**2\n' | b'Let i(j) = 12*j**3 + 2*j**2 - 2*j + 9. Let t(f) = 25*f**3 + 5*f**2 - 5*f + 17. Let p(m) = 5*i(m) - 2*t(m). Differentiate p(g) wrt g.\n' | b'30*g**2\n' | deepmind/math_dataset |
b'Let l(k) = k**2 + 4*k + 7. Let o be l(-2). Solve f - 1 = -2*w + 9, 5*w - 27 = -o*f for f.\n' | b'4\n' | b'Let l(k) = k**2 + 4*k + 7. Let o be l(-2). Solve f - 1 = -2*w + 9, 5*w - 27 = -o*f for f.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (l**8/l**(-2/9))**25 assuming l is positive.\n' | b'l**(1850/9)\n' | b'Simplify (l**8/l**(-2/9))**25 assuming l is positive.\n' | b'l**(1850/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, j: 4}. Give prob of picking 2 j.\n' | b'2/5\n' | b'Two letters picked without replacement from {v: 2, j: 4}. Give prob of picking 2 j.\n' | b'2/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccmcgcdgdcdmg. Give prob of picking 1 c and 1 d.\n' | b'5/26\n' | b'Two letters picked without replacement from ccmcgcdgdcdmg. Give prob of picking 1 c and 1 d.\n' | b'5/26\n' | deepmind/math_dataset |
b'Let i = 12 + 8. Suppose -q = 4*q - i. Suppose 20*u - 10*u = 50. Solve y - u*f = 5, -8*y + f + 20 = -q*y for y.\n' | b'5\n' | b'Let i = 12 + 8. Suppose -q = 4*q - i. Suppose 20*u - 10*u = 50. Solve y - u*f = 5, -8*y + f + 20 = -q*y for y.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence lrm when three letters picked without replacement from {l: 11, r: 1, m: 3}?\n' | b'11/910\n' | b'What is prob of sequence lrm when three letters picked without replacement from {l: 11, r: 1, m: 3}?\n' | b'11/910\n' | deepmind/math_dataset |
b'Let z(x) be the third derivative of -x**5/20 + x**4/6 + x**2. Find the second derivative of z(w) wrt w.\n' | b'-6\n' | b'Let z(x) be the third derivative of -x**5/20 + x**4/6 + x**2. Find the second derivative of z(w) wrt w.\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ipiipiipppiiii. What is prob of picking 3 p?\n' | b'5/182\n' | b'Three letters picked without replacement from ipiipiipppiiii. What is prob of picking 3 p?\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify ((w/((w/w**(2/3))/w))/((w**(-1)*w)/w))/((w**5*w)/w*w**(-4))*(w*w**(-3/5))/w**(-5)*w**(-3)*w/(w*w/(w**(-2)*w))*w*w*w assuming w is positive.\n' | b'w**(76/15)\n' | b'Simplify ((w/((w/w**(2/3))/w))/((w**(-1)*w)/w))/((w**5*w)/w*w**(-4))*(w*w**(-3/5))/w**(-5)*w**(-3)*w/(w*w/(w**(-2)*w))*w*w*w assuming w is positive.\n' | b'w**(76/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, z: 10}. Give prob of picking 1 z and 2 p.\n' | b'1/22\n' | b'Three letters picked without replacement from {p: 2, z: 10}. Give prob of picking 1 z and 2 p.\n' | b'1/22\n' | deepmind/math_dataset |
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