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'Four letters picked without replacement from kkpkppkkkkkkkk. What is prob of sequence kpkk?\n' | b'45/364\n' | b'Four letters picked without replacement from kkpkppkkkkkkkk. What is prob of sequence kpkk?\n' | b'45/364\n' | deepmind/math_dataset |
b'Let v = 2 + -4. Let h be 0 - (v + (-1 - 0)). Suppose -h + 1 = -s. Solve -2*p + 7 = 4*r + 3, 4*p + 3*r + s = 0 for p.\n' | b'-2\n' | b'Let v = 2 + -4. Let h be 0 - (v + (-1 - 0)). Suppose -h + 1 = -s. Solve -2*p + 7 = 4*r + 3, 4*p + 3*r + s = 0 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify o/(o**(-5)/o)*o*o**(2/13)/o*o**(-3/2)*o**(-8) assuming o is positive.\n' | b'o**(-61/26)\n' | b'Simplify o/(o**(-5)/o)*o*o**(2/13)/o*o**(-3/2)*o**(-8) assuming o is positive.\n' | b'o**(-61/26)\n' | deepmind/math_dataset |
b'Simplify ((y/y**(-1))**(-1/2))**(-3/13)*y*y*y**3*y*y*y**(2/5)*(y**(-3)*y)/(y**(-2/9)/y) assuming y is positive.\n' | b'y**(4009/585)\n' | b'Simplify ((y/y**(-1))**(-1/2))**(-3/13)*y*y*y**3*y*y*y**(2/5)*(y**(-3)*y)/(y**(-2/9)/y) assuming y is positive.\n' | b'y**(4009/585)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 x when two letters picked without replacement from bfbbbfxbbbibbfbff.\n' | b'5/136\n' | b'Calculate prob of picking 1 f and 1 x when two letters picked without replacement from bfbbbfxbbbibbfbff.\n' | b'5/136\n' | deepmind/math_dataset |
b'Let s(n) = -17714*n - 2652. Let x(k) = -61996*k - 9282. Let h(v) = -18*s(v) + 5*x(v). What is the derivative of h(l) wrt l?\n' | b'8872\n' | b'Let s(n) = -17714*n - 2652. Let x(k) = -61996*k - 9282. Let h(v) = -18*s(v) + 5*x(v). What is the derivative of h(l) wrt l?\n' | b'8872\n' | deepmind/math_dataset |
b'Simplify ((c*c**(2/13))/(c*(c**(-1)/c)/c))**(-2/117)*(c**0)**22*c**(-5)*c**0 assuming c is positive.\n' | b'c**(-7687/1521)\n' | b'Simplify ((c*c**(2/13))/(c*(c**(-1)/c)/c))**(-2/117)*(c**0)**22*c**(-5)*c**0 assuming c is positive.\n' | b'c**(-7687/1521)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffhfhhf. What is prob of sequence hhh?\n' | b'1/35\n' | b'Three letters picked without replacement from ffhfhhf. What is prob of sequence hhh?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 4*k - 34 = 10. Let o = k - 8. Suppose o = -g + 6. Solve 23 = -5*v + 6*u - 2*u, 2*v + g*u = 0 for v.\n' | b'-3\n' | b'Suppose 4*k - 34 = 10. Let o = k - 8. Suppose o = -g + 6. Solve 23 = -5*v + 6*u - 2*u, 2*v + g*u = 0 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f = 530 + -530. Let j(b) be the third derivative of 1/12*b**4 - b**2 + f + 0*b - 7/6*b**3. Differentiate j(l) wrt l.\n' | b'2\n' | b'Let f = 530 + -530. Let j(b) be the third derivative of 1/12*b**4 - b**2 + f + 0*b - 7/6*b**3. Differentiate j(l) wrt l.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((r/((r*(r/(((r**8*r)/r)/r*r*r*r))/r)/r))/r)/r**13)**(-3/17) assuming r is positive.\n' | b'r**(9/17)\n' | b'Simplify (((r/((r*(r/(((r**8*r)/r)/r*r*r*r))/r)/r))/r)/r**13)**(-3/17) assuming r is positive.\n' | b'r**(9/17)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 14, b: 5}. What is prob of picking 1 b and 1 l?\n' | b'70/171\n' | b'Two letters picked without replacement from {l: 14, b: 5}. What is prob of picking 1 b and 1 l?\n' | b'70/171\n' | deepmind/math_dataset |
b'Simplify ((k/(k**(-3/2)/k))**(-29))**(3/28)/((k**(-8)*k*k/(k*k**(-2/19)))/((k**(1/4)*k)/k*k*k/k**(1/12)*k*k)) assuming k is positive.\n' | b'k**(85/456)\n' | b'Simplify ((k/(k**(-3/2)/k))**(-29))**(3/28)/((k**(-8)*k*k/(k*k**(-2/19)))/((k**(1/4)*k)/k*k*k/k**(1/12)*k*k)) assuming k is positive.\n' | b'k**(85/456)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from ssdsssddsss.\n' | b'3/55\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from ssdsssddsss.\n' | b'3/55\n' | deepmind/math_dataset |
b'Suppose 4*v + 13 = 5*s, 7*v - 4*v + 3*s - 24 = 0. Suppose -4*c - 20 = -2*o, 0 = 3*o - c - v*c - 28. What is the derivative of o - 2 + 2*a**4 - 3 wrt a?\n' | b'8*a**3\n' | b'Suppose 4*v + 13 = 5*s, 7*v - 4*v + 3*s - 24 = 0. Suppose -4*c - 20 = -2*o, 0 = 3*o - c - v*c - 28. What is the derivative of o - 2 + 2*a**4 - 3 wrt a?\n' | b'8*a**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vpqbvbvvswpb. Give prob of sequence vv.\n' | b'1/11\n' | b'Two letters picked without replacement from vpqbvbvvswpb. Give prob of sequence vv.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let v = 2 - -3. Let w(c) be the third derivative of -2/3*c**3 - 3*c**2 + 0*c + 1/24*c**4 + 0. What is w(v)?\n' | b'1\n' | b'Let v = 2 - -3. Let w(c) be the third derivative of -2/3*c**3 - 3*c**2 + 0*c + 1/24*c**4 + 0. What is w(v)?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ry when two letters picked without replacement from kygyruo.\n' | b'1/21\n' | b'Calculate prob of sequence ry when two letters picked without replacement from kygyruo.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let k(u) be the second derivative of -2*u**3/3 - 2*u. Let c(g) = -g**2 + 11*g - 26. Let b be (2*2)/(-13 + 14). Let r be c(b). Calculate k(r).\n' | b'-8\n' | b'Let k(u) be the second derivative of -2*u**3/3 - 2*u. Let c(g) = -g**2 + 11*g - 26. Let b be (2*2)/(-13 + 14). Let r be c(b). Calculate k(r).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose y + 18 = k + 5*y, -6 = k - 4*y. Let z(t) = -2*t + 8. Determine z(k).\n' | b'-4\n' | b'Suppose y + 18 = k + 5*y, -6 = k - 4*y. Let z(t) = -2*t + 8. Determine z(k).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ag when two letters picked without replacement from gafea.\n' | b'1/10\n' | b'Calculate prob of sequence ag when two letters picked without replacement from gafea.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -1 = -2*j - 5. Let o be (-2)/9 + j/(-9). Solve 2*c + 0*c + 2*l + 4 = o, 0 = 2*l - 6 for c.\n' | b'-5\n' | b'Suppose -1 = -2*j - 5. Let o be (-2)/9 + j/(-9). Solve 2*c + 0*c + 2*l + 4 = o, 0 = 2*l - 6 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(b) be the first derivative of -b**3 - 3*b + 5. Find the first derivative of v(q) wrt q.\n' | b'-6*q\n' | b'Let v(b) be the first derivative of -b**3 - 3*b + 5. Find the first derivative of v(q) wrt q.\n' | b'-6*q\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cvvrriih. What is prob of sequence rv?\n' | b'1/14\n' | b'Two letters picked without replacement from cvvrriih. What is prob of sequence rv?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 7, u: 1, g: 2, o: 2}. What is prob of sequence ouo?\n' | b'1/660\n' | b'Three letters picked without replacement from {t: 7, u: 1, g: 2, o: 2}. What is prob of sequence ouo?\n' | b'1/660\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e, 1 o, and 1 s when four letters picked without replacement from {e: 2, y: 4, p: 7, s: 1, o: 4}.\n' | b'1/765\n' | b'Calculate prob of picking 2 e, 1 o, and 1 s when four letters picked without replacement from {e: 2, y: 4, p: 7, s: 1, o: 4}.\n' | b'1/765\n' | deepmind/math_dataset |
b'Suppose -7 = v - 9. Find the third derivative of 7*c**2 + 8*c**v + 7*c**4 + 3*c**2 - 5*c**2 wrt c.\n' | b'168*c\n' | b'Suppose -7 = v - 9. Find the third derivative of 7*c**2 + 8*c**v + 7*c**4 + 3*c**2 - 5*c**2 wrt c.\n' | b'168*c\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, u: 1, x: 1, b: 1, a: 2}. What is prob of sequence ju?\n' | b'1/21\n' | b'Two letters picked without replacement from {j: 2, u: 1, x: 1, b: 1, a: 2}. What is prob of sequence ju?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((z*z**(3/8))**(-29))**(46/3))**(-1/10) assuming z is positive.\n' | b'z**(7337/120)\n' | b'Simplify (((z*z**(3/8))**(-29))**(46/3))**(-1/10) assuming z is positive.\n' | b'z**(7337/120)\n' | deepmind/math_dataset |
b'Let y = 0 + 4. Suppose 3*q - y*q + 1 = 0. Let s = 3 + q. Solve -2*j - 1 = x, -5*x - 1 = j + s for j.\n' | b'0\n' | b'Let y = 0 + 4. Suppose 3*q - y*q + 1 = 0. Let s = 3 + q. Solve -2*j - 1 = x, -5*x - 1 = j + s for j.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmm when three letters picked without replacement from {m: 10}.\n' | b'1\n' | b'Calculate prob of sequence mmm when three letters picked without replacement from {m: 10}.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 l when three letters picked without replacement from lvlvllvllll.\n' | b'8/55\n' | b'Calculate prob of picking 2 v and 1 l when three letters picked without replacement from lvlvllvllll.\n' | b'8/55\n' | deepmind/math_dataset |
b'Let x(b) = b**3 - 4*b**2 + b + 1. Let o = -13 + -63. Let c be o/(-20) - 4/(-20). Calculate x(c).\n' | b'5\n' | b'Let x(b) = b**3 - 4*b**2 + b + 1. Let o = -13 + -63. Let c be o/(-20) - 4/(-20). Calculate x(c).\n' | b'5\n' | deepmind/math_dataset |
b'Let x = -2 - -2. Suppose 0 = -3*f - x*f + 6. Find the third derivative of n**4 + n**2 + n**4 + 0*n**f wrt n.\n' | b'48*n\n' | b'Let x = -2 - -2. Suppose 0 = -3*f - x*f + 6. Find the third derivative of n**4 + n**2 + n**4 + 0*n**f wrt n.\n' | b'48*n\n' | deepmind/math_dataset |
b'Differentiate -4*f**2 - 19*f - 6*f + 2*f**2 - 7*f - 9*f - 49 wrt f.\n' | b'-4*f - 41\n' | b'Differentiate -4*f**2 - 19*f - 6*f + 2*f**2 - 7*f - 9*f - 49 wrt f.\n' | b'-4*f - 41\n' | deepmind/math_dataset |
b'Simplify (x**(-12/5)/((x*x**13*x)/x))**(-10) assuming x is positive.\n' | b'x**164\n' | b'Simplify (x**(-12/5)/((x*x**13*x)/x))**(-10) assuming x is positive.\n' | b'x**164\n' | deepmind/math_dataset |
b'Suppose -80*n = -74*n - 96. Solve 2*l = -5*m - 3, -2*l - n = l - 4*m for l.\n' | b'-4\n' | b'Suppose -80*n = -74*n - 96. Solve 2*l = -5*m - 3, -2*l - n = l - 4*m for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(z) be the second derivative of z**6/120 - z**5/30 - z**4/6 - z**3/6 - 37*z**2/2 + 11*z - 2. Let r(x) be the first derivative of o(x). Give r(3).\n' | b'-4\n' | b'Let o(z) be the second derivative of z**6/120 - z**5/30 - z**4/6 - z**3/6 - 37*z**2/2 + 11*z - 2. Let r(x) be the first derivative of o(x). Give r(3).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 17, c: 3}. Give prob of picking 2 y.\n' | b'68/95\n' | b'Two letters picked without replacement from {y: 17, c: 3}. Give prob of picking 2 y.\n' | b'68/95\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, k: 10}. Give prob of sequence fkk.\n' | b'15/91\n' | b'Three letters picked without replacement from {f: 4, k: 10}. Give prob of sequence fkk.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let h be (0/(2 - 5))/(-1). Solve 3*o - 9 = 0, h = -u - 3*o + 3 + 1 for u.\n' | b'-5\n' | b'Let h be (0/(2 - 5))/(-1). Solve 3*o - 9 = 0, h = -u - 3*o + 3 + 1 for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i = 405 + -400. Solve -5*v = -i*r - 20, 3*v = 17 - 2 for r.\n' | b'1\n' | b'Let i = 405 + -400. Solve -5*v = -i*r - 20, 3*v = 17 - 2 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from {y: 1, d: 1, f: 3}.\n' | b'3/10\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from {y: 1, d: 1, f: 3}.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 2 d when three letters picked without replacement from {z: 2, d: 4, t: 1, k: 2}?\n' | b'1/7\n' | b'What is prob of picking 1 k and 2 d when three letters picked without replacement from {z: 2, d: 4, t: 1, k: 2}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sbbsbbbb. Give prob of picking 1 b and 1 s.\n' | b'3/7\n' | b'Two letters picked without replacement from sbbsbbbb. Give prob of picking 1 b and 1 s.\n' | b'3/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 4, v: 2, x: 1}. Give prob of picking 4 x.\n' | b'0\n' | b'Four letters picked without replacement from {y: 4, v: 2, x: 1}. Give prob of picking 4 x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify l/(l*l/(((l*l*l**(-2/5))/l*l)/l)*l)*l/l**(19/3) assuming l is positive.\n' | b'l**(-101/15)\n' | b'Simplify l/(l*l/(((l*l*l**(-2/5))/l*l)/l)*l)*l/l**(19/3) assuming l is positive.\n' | b'l**(-101/15)\n' | deepmind/math_dataset |
b'Suppose -4*v = 4*o - 8, -2*o - 8 = -4*v + 5*o. Solve 4*l - v = c - 1, 2*c - 4 = 2*l for l.\n' | b'1\n' | b'Suppose -4*v = 4*o - 8, -2*o - 8 = -4*v + 5*o. Solve 4*l - v = c - 1, 2*c - 4 = 2*l for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let w(o) = -58*o + 43. Let p(y) = -57*y + 45. Let u(v) = -5*p(v) + 6*w(v). What is the derivative of u(s) wrt s?\n' | b'-63\n' | b'Let w(o) = -58*o + 43. Let p(y) = -57*y + 45. Let u(v) = -5*p(v) + 6*w(v). What is the derivative of u(s) wrt s?\n' | b'-63\n' | deepmind/math_dataset |
b'Suppose 3167*v + 4 = 3169*v. Solve -4*c + 2*c + 12 = -2*z, v*z + 27 = 5*c for z.\n' | b'-1\n' | b'Suppose 3167*v + 4 = 3169*v. Solve -4*c + 2*c + 12 = -2*z, v*z + 27 = 5*c for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c(g) be the third derivative of g**6/120 + g**4/24 - g**3/3 - g**2. Let k be 0 + 0 + (0 - -1). Let y be 2 + k + -3 + 0. What is c(y)?\n' | b'-2\n' | b'Let c(g) be the third derivative of g**6/120 + g**4/24 - g**3/3 - g**2. Let k be 0 + 0 + (0 - -1). Let y be 2 + k + -3 + 0. What is c(y)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -17*b + 12*b - 5 = -4*p, 3*b = -3. Let y be 2 - (p - 1)*1. Let x(s) = -s + 2. Calculate x(y).\n' | b'-1\n' | b'Suppose -17*b + 12*b - 5 = -4*p, 3*b = -3. Let y be 2 - (p - 1)*1. Let x(s) = -s + 2. Calculate x(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(i) = 3*i**3 - 228*i**2 - 231*i + 4. Let s be z(77). Let a be 0/((-5)/(15/6)). Solve a = 4*n - 3*r + 1, -5*r - 29 = 2*n + s for n.\n' | b'-4\n' | b'Let z(i) = 3*i**3 - 228*i**2 - 231*i + 4. Let s be z(77). Let a be 0/((-5)/(15/6)). Solve a = 4*n - 3*r + 1, -5*r - 29 = 2*n + s for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n/(n/n**(3/17))*n**(-10/9))/(n**(5/6))**(-1/6))**31 assuming n is positive.\n' | b'n**(-15097/612)\n' | b'Simplify ((n/(n/n**(3/17))*n**(-10/9))/(n**(5/6))**(-1/6))**31 assuming n is positive.\n' | b'n**(-15097/612)\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 2 z when four letters picked without replacement from vzzzzzzszzvszvz?\n' | b'3/91\n' | b'What is prob of picking 2 s and 2 z when four letters picked without replacement from vzzzzzzszzvszvz?\n' | b'3/91\n' | deepmind/math_dataset |
b'Let a(w) = -w**3 + w**2 - w - 1. Let j(f) = -1 - 3*f**3 - 5 - 2*f**2 - 2*f + f**2 + 4. Let z(q) = 2*a(q) - j(q). Find the third derivative of z(l) wrt l.\n' | b'6\n' | b'Let a(w) = -w**3 + w**2 - w - 1. Let j(f) = -1 - 3*f**3 - 5 - 2*f**2 - 2*f + f**2 + 4. Let z(q) = 2*a(q) - j(q). Find the third derivative of z(l) wrt l.\n' | b'6\n' | deepmind/math_dataset |
b'Let w = 354 - 349. Solve w = -x, -x - 7 + 2 = 3*t for t.\n' | b'0\n' | b'Let w = 354 - 349. Solve w = -x, -x - 7 + 2 = 3*t for t.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence mb when two letters picked without replacement from mbppgmmgpbpggmgmp.\n' | b'5/136\n' | b'Calculate prob of sequence mb when two letters picked without replacement from mbppgmmgpbpggmgmp.\n' | b'5/136\n' | deepmind/math_dataset |
b'Let r(u) be the first derivative of -173*u**7/7 - 103*u**3 + 183. What is the third derivative of r(m) wrt m?\n' | b'-20760*m**3\n' | b'Let r(u) be the first derivative of -173*u**7/7 - 103*u**3 + 183. What is the third derivative of r(m) wrt m?\n' | b'-20760*m**3\n' | deepmind/math_dataset |
b'Let f be ((-6)/(-8))/(27/72). Suppose f*n + 3*n - 76 = -3*x, -x = -n - 12. Solve -5*o + x = -2*r, 4*o = -r + 2*r + 16 for o.\n' | b'5\n' | b'Let f be ((-6)/(-8))/(27/72). Suppose f*n + 3*n - 76 = -3*x, -x = -n - 12. Solve -5*o + x = -2*r, 4*o = -r + 2*r + 16 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let j be (12 + -3)*(4/(-3))/(-2). Let y(w) = -7*w**3 + 2*w**2 + 2*w - 24. Let n(d) = -8*d**3 + 3*d**2 + 2*d - 27. Let r(x) = -8*n(x) + 9*y(x). What is r(j)?\n' | b'12\n' | b'Let j be (12 + -3)*(4/(-3))/(-2). Let y(w) = -7*w**3 + 2*w**2 + 2*w - 24. Let n(d) = -8*d**3 + 3*d**2 + 2*d - 27. Let r(x) = -8*n(x) + 9*y(x). What is r(j)?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, v: 6, g: 1, p: 1}. What is prob of sequence vg?\n' | b'1/12\n' | b'Two letters picked without replacement from {f: 1, v: 6, g: 1, p: 1}. What is prob of sequence vg?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let v(c) = -3*c - 13*c**2 + 4*c**2 + 3*c**2 + 7*c**2 - 2. Calculate v(6).\n' | b'16\n' | b'Let v(c) = -3*c - 13*c**2 + 4*c**2 + 3*c**2 + 7*c**2 - 2. Calculate v(6).\n' | b'16\n' | deepmind/math_dataset |
b'Let f(c) = c**2 + c - 1. Let t(q) = -46*q**2 - 7*q - 14. Let g(i) = 6*f(i) + t(i). Find the second derivative of g(x) wrt x.\n' | b'-80\n' | b'Let f(c) = c**2 + c - 1. Let t(q) = -46*q**2 - 7*q - 14. Let g(i) = 6*f(i) + t(i). Find the second derivative of g(x) wrt x.\n' | b'-80\n' | deepmind/math_dataset |
b'What is the second derivative of -8*f - 4*f**4 - 18 + 18 wrt f?\n' | b'-48*f**2\n' | b'What is the second derivative of -8*f - 4*f**4 - 18 + 18 wrt f?\n' | b'-48*f**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence dh when two letters picked without replacement from hdhdhhhhh.\n' | b'7/36\n' | b'Calculate prob of sequence dh when two letters picked without replacement from hdhdhhhhh.\n' | b'7/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i and 1 y when four letters picked without replacement from {s: 2, y: 1, i: 4, n: 3, z: 1}.\n' | b'2/165\n' | b'Calculate prob of picking 3 i and 1 y when four letters picked without replacement from {s: 2, y: 1, i: 4, n: 3, z: 1}.\n' | b'2/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, z: 10}. What is prob of picking 4 z?\n' | b'14/33\n' | b'Four letters picked without replacement from {a: 2, z: 10}. What is prob of picking 4 z?\n' | b'14/33\n' | deepmind/math_dataset |
b'Suppose -20 = -t - 4*f, -t - f - 2 + 7 = 0. Solve t = -5*c + z - 25, 0 = -3*z + 4*z for c.\n' | b'-5\n' | b'Suppose -20 = -t - 4*f, -t - f - 2 + 7 = 0. Solve t = -5*c + z - 25, 0 = -3*z + 4*z for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from diwoodddaaoddodda. What is prob of sequence iaw?\n' | b'1/1360\n' | b'Three letters picked without replacement from diwoodddaaoddodda. What is prob of sequence iaw?\n' | b'1/1360\n' | deepmind/math_dataset |
b'Let k(x) be the first derivative of -19*x**5/20 - 2*x**4/3 + 10*x + 26. Let s(v) be the first derivative of k(v). What is the third derivative of s(z) wrt z?\n' | b'-114\n' | b'Let k(x) be the first derivative of -19*x**5/20 - 2*x**4/3 + 10*x + 26. Let s(v) be the first derivative of k(v). What is the third derivative of s(z) wrt z?\n' | b'-114\n' | deepmind/math_dataset |
b'Let b = -15 + 15. Let v(d) be the first derivative of -1/5*d**5 + 0*d**4 + b*d**3 - 1 + 0*d + 1/2*d**2. Find the second derivative of v(j) wrt j.\n' | b'-12*j**2\n' | b'Let b = -15 + 15. Let v(d) be the first derivative of -1/5*d**5 + 0*d**4 + b*d**3 - 1 + 0*d + 1/2*d**2. Find the second derivative of v(j) wrt j.\n' | b'-12*j**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\n' | b'1\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from hhhqqhh.\n' | b'10/21\n' | b'Calculate prob of sequence hh when two letters picked without replacement from hhhqqhh.\n' | b'10/21\n' | deepmind/math_dataset |
b'What is the second derivative of 1911*g**2 + 4 - 3*g**4 + 2 - 1786*g**2 - 4 - 5 - 44*g wrt g?\n' | b'-36*g**2 + 250\n' | b'What is the second derivative of 1911*g**2 + 4 - 3*g**4 + 2 - 1786*g**2 - 4 - 5 - 44*g wrt g?\n' | b'-36*g**2 + 250\n' | deepmind/math_dataset |
b'Let s(h) = -49*h**3 - 2*h**2 + 1. Let q(t) = 1314*t + 7885. Let g be q(-6). Calculate s(g).\n' | b'-50\n' | b'Let s(h) = -49*h**3 - 2*h**2 + 1. Let q(t) = 1314*t + 7885. Let g be q(-6). Calculate s(g).\n' | b'-50\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 4, y: 5, r: 1, o: 3}. Give prob of sequence rk.\n' | b'1/39\n' | b'Two letters picked without replacement from {k: 4, y: 5, r: 1, o: 3}. Give prob of sequence rk.\n' | b'1/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooooukk. Give prob of sequence okk.\n' | b'4/105\n' | b'Three letters picked without replacement from ooooukk. Give prob of sequence okk.\n' | b'4/105\n' | deepmind/math_dataset |
b'Suppose -4*s = -i - 236, 16*i + s + 490 = 14*i. Let k = i - -247. Solve c - 2 = -5*o, -k*o = o - 5*c + 10 for o.\n' | b'0\n' | b'Suppose -4*s = -i - 236, 16*i + s + 490 = 14*i. Let k = i - -247. Solve c - 2 = -5*o, -k*o = o - 5*c + 10 for o.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose q + 11 = 2*n, -n - 2*q = -7 + 9. Solve -n*w - z = 2*z - 15, 12 = 5*w - 3*z for w.\n' | b'3\n' | b'Suppose q + 11 = 2*n, -n - 2*q = -7 + 9. Solve -n*w - z = 2*z - 15, 12 = 5*w - 3*z for w.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((f/(((f/f**(-4/7))/f)/f)*f)/f)/f*f/(f*f*f/(f/(f/(f/(f*f**(-17)))*f))))/(f*f**(1/12))**(1/94) assuming f is positive.\n' | b'f**(113837/7896)\n' | b'Simplify (((f/(((f/f**(-4/7))/f)/f)*f)/f)/f*f/(f*f*f/(f/(f/(f/(f*f**(-17)))*f))))/(f*f**(1/12))**(1/94) assuming f is positive.\n' | b'f**(113837/7896)\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from {y: 2, t: 4, h: 2}?\n' | b'3/14\n' | b'What is prob of sequence tt when two letters picked without replacement from {y: 2, t: 4, h: 2}?\n' | b'3/14\n' | deepmind/math_dataset |
b'Suppose -10 = -5*l + 31 - 16. Solve 0 = -l*q + 3*t - 30, -3*t = 2*q - 20 + 11 for q.\n' | b'-3\n' | b'Suppose -10 = -5*l + 31 - 16. Solve 0 = -l*q + 3*t - 30, -3*t = 2*q - 20 + 11 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(h) be the third derivative of 0*h - 5*h**2 - 2/3*h**4 + 1/60*h**5 - 3/2*h**3 + 1. What is z(16)?\n' | b'-9\n' | b'Let z(h) be the third derivative of 0*h - 5*h**2 - 2/3*h**4 + 1/60*h**5 - 3/2*h**3 + 1. What is z(16)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let b(v) = 31*v - 5*v - 17*v**2 + 21 + v**2. Let p(w) = -3*w**2 + 5*w + 4. Let j(m) = -2*b(m) + 11*p(m). Determine j(2).\n' | b'4\n' | b'Let b(v) = 31*v - 5*v - 17*v**2 + 21 + v**2. Let p(w) = -3*w**2 + 5*w + 4. Let j(m) = -2*b(m) + 11*p(m). Determine j(2).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, u: 2, a: 5}. Give prob of sequence acc.\n' | b'5/252\n' | b'Three letters picked without replacement from {c: 2, u: 2, a: 5}. Give prob of sequence acc.\n' | b'5/252\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ngnlnmggnmnnnmgg. Give prob of picking 1 l, 1 m, and 1 g.\n' | b'3/112\n' | b'Three letters picked without replacement from ngnlnmggnmnnnmgg. Give prob of picking 1 l, 1 m, and 1 g.\n' | b'3/112\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 6, e: 3, g: 4}. Give prob of sequence sg.\n' | b'2/13\n' | b'Two letters picked without replacement from {s: 6, e: 3, g: 4}. Give prob of sequence sg.\n' | b'2/13\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 2, w: 2}?\n' | b'1/2\n' | b'What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 2, w: 2}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let u be 3/(-1)*14/(-6). Solve 0*i = -i - 4*w + u, 2*i - 4*w + 10 = 0 for i.\n' | b'-1\n' | b'Let u be 3/(-1)*14/(-6). Solve 0*i = -i - 4*w + u, 2*i - 4*w + 10 = 0 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(r) = -r**3 - 8*r**2 + 5*r - 2. Let o(z) = z**3 + 7*z**2 - 4*z + 2. Let w(v) = -4*n(v) - 5*o(v). Determine w(-4).\n' | b'14\n' | b'Let n(r) = -r**3 - 8*r**2 + 5*r - 2. Let o(z) = z**3 + 7*z**2 - 4*z + 2. Let w(v) = -4*n(v) - 5*o(v). Determine w(-4).\n' | b'14\n' | deepmind/math_dataset |
b'Let g(a) = -a**2 - 7*a + 10. Let z be g(-8). Suppose -z*i + 5 - 17 = -3*b, -3*i + 3*b = 12. Solve 5*o - 7 = -2*h, i = -5*o - 4*h - 0 - 1 for o.\n' | b'3\n' | b'Let g(a) = -a**2 - 7*a + 10. Let z be g(-8). Suppose -z*i + 5 - 17 = -3*b, -3*i + 3*b = 12. Solve 5*o - 7 = -2*h, i = -5*o - 4*h - 0 - 1 for o.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -c + 3*c = 0. Let i(k) = -3*k + 15. Let t(o) = -7*o + 31. Let p be 3 + 10*-1 + 3. Let h(v) = p*t(v) + 9*i(v). What is h(c)?\n' | b'11\n' | b'Suppose -c + 3*c = 0. Let i(k) = -3*k + 15. Let t(o) = -7*o + 31. Let p be 3 + 10*-1 + 3. Let h(v) = p*t(v) + 9*i(v). What is h(c)?\n' | b'11\n' | deepmind/math_dataset |
b'Let p(r) = -r**2 - 9*r. Let i be p(-7). Suppose 0 = -3*g - 5 + i. What is the second derivative of g*b**4 + 3*b - 2*b - 4*b wrt b?\n' | b'36*b**2\n' | b'Let p(r) = -r**2 - 9*r. Let i be p(-7). Suppose 0 = -3*g - 5 + i. What is the second derivative of g*b**4 + 3*b - 2*b - 4*b wrt b?\n' | b'36*b**2\n' | deepmind/math_dataset |
b'Let c(w) = w**3 + 7*w**2 + 7*w + 7. Let i be -8 - (-7)/((-7)/(-2)). What is c(i)?\n' | b'1\n' | b'Let c(w) = w**3 + 7*w**2 + 7*w + 7. Let i be -8 - (-7)/((-7)/(-2)). What is c(i)?\n' | b'1\n' | deepmind/math_dataset |
b'Let a(z) = z**2 + 5*z + 3. Let p be a(-5). Let l(v) = 6*v + 2 + p - 6. What is l(1)?\n' | b'5\n' | b'Let a(z) = z**2 + 5*z + 3. Let p be a(-5). Let l(v) = 6*v + 2 + p - 6. What is l(1)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3*j + 3*z = -j + 63, 32 = j + 4*z. Suppose -3*b + 0 = -6. Suppose -s + b + 3 = 0. Solve -q + 4*q = s*l + 18, 0 = 4*l + j for q.\n' | b'1\n' | b'Suppose 3*j + 3*z = -j + 63, 32 = j + 4*z. Suppose -3*b + 0 = -6. Suppose -s + b + 3 = 0. Solve -q + 4*q = s*l + 18, 0 = 4*l + j for q.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooya. What is prob of sequence aoo?\n' | b'1/12\n' | b'Three letters picked without replacement from ooya. What is prob of sequence aoo?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose 42 = -7*c + 98. Solve 10 = 3*y - n, 0 = 3*y + 22*n - 21*n - c for y.\n' | b'3\n' | b'Suppose 42 = -7*c + 98. Solve 10 = 3*y - n, 0 = 3*y + 22*n - 21*n - c for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(i) be the third derivative of -1/4*i**4 + 0*i - 1/60*i**5 - 1/2*i**3 + 0 + i**2. Suppose 146*m - 152*m = 12. Determine g(m).\n' | b'5\n' | b'Let g(i) be the third derivative of -1/4*i**4 + 0*i - 1/60*i**5 - 1/2*i**3 + 0 + i**2. Suppose 146*m - 152*m = 12. Determine g(m).\n' | b'5\n' | deepmind/math_dataset |
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