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'Simplify c/(c/c**4)*((((c**(2/117)*c)/c)/c)/c)/c*(c**(-34)*c)/(c/c**(-2/109)) assuming c is positive.\n' | b'c**(-420865/12753)\n' | b'Simplify c/(c/c**4)*((((c**(2/117)*c)/c)/c)/c)/c*(c**(-34)*c)/(c/c**(-2/109)) assuming c is positive.\n' | b'c**(-420865/12753)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jyyy. Give prob of picking 2 y.\n' | b'1/2\n' | b'Two letters picked without replacement from jyyy. Give prob of picking 2 y.\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify ((n**(16/3))**(2/17)/(n**(-2/9)/n**(1/28)))**12 assuming n is positive.\n' | b'n**(3793/357)\n' | b'Simplify ((n**(16/3))**(2/17)/(n**(-2/9)/n**(1/28)))**12 assuming n is positive.\n' | b'n**(3793/357)\n' | deepmind/math_dataset |
b'Let j be -23 - 1224/(-54) - (8/(-6) + -1). Solve -2*u + 0*u - j = -2*v, u = 4*v - 16 for v.\n' | b'5\n' | b'Let j be -23 - 1224/(-54) - (8/(-6) + -1). Solve -2*u + 0*u - j = -2*v, u = 4*v - 16 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(g) = g**2 - 3*g - 235. Let s be k(-14). Solve 0 = 7*l - 5*l + 3*j - 6, s*l + 5 = -j for l.\n' | b'-3\n' | b'Let k(g) = g**2 - 3*g - 235. Let s be k(-14). Solve 0 = 7*l - 5*l + 3*j - 6, s*l + 5 = -j for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify x**(1/19)/(x**46*x)*(x*x**(1/25))/x**(16/3) assuming x is positive.\n' | b'x**(-73018/1425)\n' | b'Simplify x**(1/19)/(x**46*x)*(x*x**(1/25))/x**(16/3) assuming x is positive.\n' | b'x**(-73018/1425)\n' | deepmind/math_dataset |
b'Simplify (m**(6/11)*m*m**8*m*(m/(m**(-1/3)*m))**15)**(9/5) assuming m is positive.\n' | b'm**(1539/55)\n' | b'Simplify (m**(6/11)*m*m**8*m*(m/(m**(-1/3)*m))**15)**(9/5) assuming m is positive.\n' | b'm**(1539/55)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, d: 1, t: 2, y: 11}. Give prob of picking 2 w.\n' | b'1/120\n' | b'Two letters picked without replacement from {w: 2, d: 1, t: 2, y: 11}. Give prob of picking 2 w.\n' | b'1/120\n' | deepmind/math_dataset |
b'Let t(w) = w - 4. Suppose 3 = o - 3. Give t(o).\n' | b'2\n' | b'Let t(w) = w - 4. Suppose 3 = o - 3. Give t(o).\n' | b'2\n' | deepmind/math_dataset |
b'Let q(j) = 51 - 2*j**2 + 3*j**2 - 58 - 7*j. Let i(v) = -v**3 - 4*v**2 - 2*v - 1. Let h be i(-4). Calculate q(h).\n' | b'-7\n' | b'Let q(j) = 51 - 2*j**2 + 3*j**2 - 58 - 7*j. Let i(v) = -v**3 - 4*v**2 - 2*v - 1. Let h be i(-4). Calculate q(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qdqdodoq. What is prob of picking 1 q and 2 o?\n' | b'3/56\n' | b'Three letters picked without replacement from qdqdodoq. What is prob of picking 1 q and 2 o?\n' | b'3/56\n' | deepmind/math_dataset |
b'What is the third derivative of -4 + 219*n**3 + 6 - 5*n**2 - 369*n**3 wrt n?\n' | b'-900\n' | b'What is the third derivative of -4 + 219*n**3 + 6 - 5*n**2 - 369*n**3 wrt n?\n' | b'-900\n' | deepmind/math_dataset |
b'Find the third derivative of -17 + 17 - 23*k**4 + 22*k**2 wrt k.\n' | b'-552*k\n' | b'Find the third derivative of -17 + 17 - 23*k**4 + 22*k**2 wrt k.\n' | b'-552*k\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 4, d: 1, u: 2, y: 1, w: 1, g: 6}. What is prob of picking 1 d, 1 u, 1 g, and 1 w?\n' | b'4/455\n' | b'Four letters picked without replacement from {z: 4, d: 1, u: 2, y: 1, w: 1, g: 6}. What is prob of picking 1 d, 1 u, 1 g, and 1 w?\n' | b'4/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, p: 6, a: 1, q: 3, i: 2}. What is prob of picking 2 p?\n' | b'5/26\n' | b'Two letters picked without replacement from {f: 1, p: 6, a: 1, q: 3, i: 2}. What is prob of picking 2 p?\n' | b'5/26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnohhhoonaoo. Give prob of sequence hna.\n' | b'1/143\n' | b'Three letters picked without replacement from nnnohhhoonaoo. Give prob of sequence hna.\n' | b'1/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvjslljkllvt. What is prob of sequence jtl?\n' | b'1/165\n' | b'Three letters picked without replacement from vvjslljkllvt. What is prob of sequence jtl?\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose -2*p + 4*p = 12. Let y = -1 + p. Let n be (34/(-6))/((-10)/30). Solve 4*u + 0*u + n = y*z, -3*z = u for z.\n' | b'1\n' | b'Suppose -2*p + 4*p = 12. Let y = -1 + p. Let n be (34/(-6))/((-10)/30). Solve 4*u + 0*u + n = y*z, -3*z = u for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(v) = -4*v + 22. Let f be k(5). Let c(j) = j**2 - j. What is c(f)?\n' | b'2\n' | b'Let k(v) = -4*v + 22. Let f be k(5). Let c(j) = j**2 - j. What is c(f)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 - 12 = -10*h + 8. Let d(z) be the second derivative of 0*z**3 - 6*z**h + 0*z**4 + 13/20*z**5 + 0 + 11*z. What is the derivative of d(g) wrt g?\n' | b'39*g**2\n' | b'Suppose 0 - 12 = -10*h + 8. Let d(z) be the second derivative of 0*z**3 - 6*z**h + 0*z**4 + 13/20*z**5 + 0 + 11*z. What is the derivative of d(g) wrt g?\n' | b'39*g**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kaaakaaaaak. What is prob of sequence aaak?\n' | b'7/55\n' | b'Four letters picked without replacement from kaaakaaaaak. What is prob of sequence aaak?\n' | b'7/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, y: 1, p: 5, m: 7, k: 4, g: 2}. What is prob of picking 2 p?\n' | b'1/19\n' | b'Two letters picked without replacement from {d: 1, y: 1, p: 5, m: 7, k: 4, g: 2}. What is prob of picking 2 p?\n' | b'1/19\n' | deepmind/math_dataset |
b'Let r(x) = x**2 + 5*x. Suppose 4*a + 53 = 3*i + 19, 16 = 4*i + 2*a. Let f be 16/20*(1 - i). Give r(f).\n' | b'-4\n' | b'Let r(x) = x**2 + 5*x. Suppose 4*a + 53 = 3*i + 19, 16 = 4*i + 2*a. Let f be 16/20*(1 - i). Give r(f).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 d, 1 j, and 1 p when three letters picked without replacement from xdixpdddjdjidxx?\n' | b'12/455\n' | b'What is prob of picking 1 d, 1 j, and 1 p when three letters picked without replacement from xdixpdddjdjidxx?\n' | b'12/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxnnhxxhnrqxx. Give prob of sequence nxhx.\n' | b'3/286\n' | b'Four letters picked without replacement from xxnnhxxhnrqxx. Give prob of sequence nxhx.\n' | b'3/286\n' | deepmind/math_dataset |
b'Let t(w) = 0 - 3*w - 7*w**3 - w**3 + 7*w**3 + 6*w**2 - 8. Determine t(6).\n' | b'-26\n' | b'Let t(w) = 0 - 3*w - 7*w**3 - w**3 + 7*w**3 + 6*w**2 - 8. Determine t(6).\n' | b'-26\n' | deepmind/math_dataset |
b'Let a(v) = v - 1. Let r(p) = 42*p + 2. Let h = -66 - -62. Let o(f) = h*a(f) + r(f). Differentiate o(c) with respect to c.\n' | b'38\n' | b'Let a(v) = v - 1. Let r(p) = 42*p + 2. Let h = -66 - -62. Let o(f) = h*a(f) + r(f). Differentiate o(c) with respect to c.\n' | b'38\n' | deepmind/math_dataset |
b'Let u(r) be the first derivative of r**3/3 - 3*r**2 - 5*r + 5. Calculate u(6).\n' | b'-5\n' | b'Let u(r) be the first derivative of r**3/3 - 3*r**2 - 5*r + 5. Calculate u(6).\n' | b'-5\n' | deepmind/math_dataset |
b'Let d(m) be the second derivative of 9*m**5/20 + 7*m**4/12 + 26*m**3/3 + 57*m. What is the second derivative of d(i) wrt i?\n' | b'54*i + 14\n' | b'Let d(m) be the second derivative of 9*m**5/20 + 7*m**4/12 + 26*m**3/3 + 57*m. What is the second derivative of d(i) wrt i?\n' | b'54*i + 14\n' | deepmind/math_dataset |
b'Find the second derivative of 65*i - 572*i**2 - 91*i**2 + 632 - 1269 + 637 wrt i.\n' | b'-1326\n' | b'Find the second derivative of 65*i - 572*i**2 - 91*i**2 + 632 - 1269 + 637 wrt i.\n' | b'-1326\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 2 r when four letters picked without replacement from {p: 2, h: 2, l: 2, r: 3}?\n' | b'1/42\n' | b'What is prob of picking 2 p and 2 r when four letters picked without replacement from {p: 2, h: 2, l: 2, r: 3}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let b(x) be the first derivative of -2*x**3 + 0*x + 3 + 7/2*x**2. What is the second derivative of b(v) wrt v?\n' | b'-12\n' | b'Let b(x) be the first derivative of -2*x**3 + 0*x + 3 + 7/2*x**2. What is the second derivative of b(v) wrt v?\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {m: 2, q: 3}.\n' | b'3/10\n' | b'Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {m: 2, q: 3}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (g/(g*g**(-23)/g))/g*g*g**(-4)/g*g assuming g is positive.\n' | b'g**20\n' | b'Simplify (g/(g*g**(-23)/g))/g*g*g**(-4)/g*g assuming g is positive.\n' | b'g**20\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 5, y: 5, q: 4}.\n' | b'20/91\n' | b'Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 5, y: 5, q: 4}.\n' | b'20/91\n' | deepmind/math_dataset |
b'Let f be 105/(-14)*8/(-10). What is the first derivative of -6*q**3 - 14*q**4 + f*q**3 + 15 wrt q?\n' | b'-56*q**3\n' | b'Let f be 105/(-14)*8/(-10). What is the first derivative of -6*q**3 - 14*q**4 + f*q**3 + 15 wrt q?\n' | b'-56*q**3\n' | deepmind/math_dataset |
b'Suppose 10 = -5*k, 3*s - 12 = 5*k + 43. Find the third derivative of 24*l**3 - 12*l + 27*l - s*l - 20*l**2 wrt l.\n' | b'144\n' | b'Suppose 10 = -5*k, 3*s - 12 = 5*k + 43. Find the third derivative of 24*l**3 - 12*l + 27*l - s*l - 20*l**2 wrt l.\n' | b'144\n' | deepmind/math_dataset |
b'Suppose 0 = 2*j - c + 15, j - c + 10 = 2. Let t be (-120)/210 - 39/j. Solve t*q = 4*x - 5 - 4, -4*x = -4 for q.\n' | b'-1\n' | b'Suppose 0 = 2*j - c + 15, j - c + 10 = 2. Let t be (-120)/210 - 39/j. Solve t*q = 4*x - 5 - 4, -4*x = -4 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((r*(r*r**(2/5))/r)/r)/r*r)**(-3/16)/(r*r**(-2/11)*(r*r**6*r)/r) assuming r is positive.\n' | b'r**(-3473/440)\n' | b'Simplify (((r*(r*r**(2/5))/r)/r)/r*r)**(-3/16)/(r*r**(-2/11)*(r*r**6*r)/r) assuming r is positive.\n' | b'r**(-3473/440)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 c when two letters picked without replacement from cchhhheec.\n' | b'1/3\n' | b'Calculate prob of picking 1 h and 1 c when two letters picked without replacement from cchhhheec.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -n = l + 18, -l - 54 - 6 = 4*n. Let f(h) = -h**2 - 15*h - 17. Give f(n).\n' | b'-3\n' | b'Suppose -n = l + 18, -l - 54 - 6 = 4*n. Let f(h) = -h**2 - 15*h - 17. Give f(n).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 7, p: 2}. What is prob of picking 1 p and 1 u?\n' | b'7/18\n' | b'Two letters picked without replacement from {u: 7, p: 2}. What is prob of picking 1 p and 1 u?\n' | b'7/18\n' | deepmind/math_dataset |
b'Let y(o) be the third derivative of 0*o - 4/105*o**7 + 0 + 0*o**3 + 0*o**5 + 1/4*o**4 + 0*o**6 - 7*o**2. Find the second derivative of y(r) wrt r.\n' | b'-96*r**2\n' | b'Let y(o) be the third derivative of 0*o - 4/105*o**7 + 0 + 0*o**3 + 0*o**5 + 1/4*o**4 + 0*o**6 - 7*o**2. Find the second derivative of y(r) wrt r.\n' | b'-96*r**2\n' | deepmind/math_dataset |
b'Suppose -5*w = -27 + 7. Suppose -29 = -w*a - 5. Find the third derivative of -3*t**2 + a*t**5 - t**2 - 8*t**2 wrt t.\n' | b'360*t**2\n' | b'Suppose -5*w = -27 + 7. Suppose -29 = -w*a - 5. Find the third derivative of -3*t**2 + a*t**5 - t**2 - 8*t**2 wrt t.\n' | b'360*t**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 1, y: 7, q: 5, m: 3}. Give prob of sequence mqmx.\n' | b'1/1456\n' | b'Four letters picked without replacement from {x: 1, y: 7, q: 5, m: 3}. Give prob of sequence mqmx.\n' | b'1/1456\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {u: 1, i: 2, r: 1, h: 1, y: 4}.\n' | b'2/9\n' | b'Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {u: 1, i: 2, r: 1, h: 1, y: 4}.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let j(h) be the third derivative of -29*h**5/60 - h**4/24 + 18*h**2. Find the second derivative of j(o) wrt o.\n' | b'-58\n' | b'Let j(h) be the third derivative of -29*h**5/60 - h**4/24 + 18*h**2. Find the second derivative of j(o) wrt o.\n' | b'-58\n' | deepmind/math_dataset |
b'Let a(v) = v**3 - 10*v**2 + 10*v - 7. Let m(c) = -4*c - 19. Let g be m(4). Let b = g + 44. Give a(b).\n' | b'2\n' | b'Let a(v) = v**3 - 10*v**2 + 10*v - 7. Let m(c) = -4*c - 19. Let g be m(4). Let b = g + 44. Give a(b).\n' | b'2\n' | deepmind/math_dataset |
b'Let f(z) = 6 - 27951*z**3 - 12*z**2 - 24*z + 2*z**2 + 27952*z**3. What is f(12)?\n' | b'6\n' | b'Let f(z) = 6 - 27951*z**3 - 12*z**2 - 24*z + 2*z**2 + 27952*z**3. What is f(12)?\n' | b'6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmmmtmmmtt. Give prob of sequence ttmm.\n' | b'1/20\n' | b'Four letters picked without replacement from mmmmtmmmtt. Give prob of sequence ttmm.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let o(s) = -12*s**3 + 29*s**3 + 7 - 18*s**3 + 6*s**2 + 6*s. Determine o(7).\n' | b'0\n' | b'Let o(s) = -12*s**3 + 29*s**3 + 7 - 18*s**3 + 6*s**2 + 6*s. Determine o(7).\n' | b'0\n' | deepmind/math_dataset |
b'Let q(r) = r**2 - 21*r - 26. Let x be q(22). Let m(o) = -2*o - 14. Calculate m(x).\n' | b'-6\n' | b'Let q(r) = r**2 - 21*r - 26. Let x be q(22). Let m(o) = -2*o - 14. Calculate m(x).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, f: 1, j: 2, m: 1, k: 2}. What is prob of picking 1 k and 1 j?\n' | b'1/7\n' | b'Two letters picked without replacement from {r: 2, f: 1, j: 2, m: 1, k: 2}. What is prob of picking 1 k and 1 j?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence jp when two letters picked without replacement from {p: 1, l: 3, w: 1, j: 2}.\n' | b'1/21\n' | b'Calculate prob of sequence jp when two letters picked without replacement from {p: 1, l: 3, w: 1, j: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 5 - 21 = -4*k. Suppose -k*z + 6 = -2*z. Solve -z*l - 2*l - 2*t = -18, t + 2 = 3*l for l.\n' | b'2\n' | b'Suppose 5 - 21 = -4*k. Suppose -k*z + 6 = -2*z. Solve -z*l - 2*l - 2*t = -18, t + 2 = 3*l for l.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (v/((v*v/(v**(1/24)*v)*v)/v))**(-38)/(v*v/((v**17/v)/v))**34 assuming v is positive.\n' | b'v**(5285/12)\n' | b'Simplify (v/((v*v/(v**(1/24)*v)*v)/v))**(-38)/(v*v/((v**17/v)/v))**34 assuming v is positive.\n' | b'v**(5285/12)\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 x when three letters picked without replacement from xxf?\n' | b'0\n' | b'What is prob of picking 2 f and 1 x when three letters picked without replacement from xxf?\n' | b'0\n' | deepmind/math_dataset |
b'Let t(o) = o**3 + 7*o**2 + 7*o - 1. Let n(p) = -2*p**2 + 37*p - 16. Let g be n(18). Suppose g*q - 8 = 5*a, 2*a + a + 24 = -2*q. Give t(q).\n' | b'-7\n' | b'Let t(o) = o**3 + 7*o**2 + 7*o - 1. Let n(p) = -2*p**2 + 37*p - 16. Let g be n(18). Suppose g*q - 8 = 5*a, 2*a + a + 24 = -2*q. Give t(q).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((n**(2/7)*n)/n**(14/5)*n*n*n**11*((n**3/n)/n)/n*n)**29 assuming n is positive.\n' | b'n**(12673/35)\n' | b'Simplify ((n**(2/7)*n)/n**(14/5)*n*n*n**11*((n**3/n)/n)/n*n)**29 assuming n is positive.\n' | b'n**(12673/35)\n' | deepmind/math_dataset |
b'Simplify m**(2/15)*m**(-1)*(m**(1/4)*m)/m**(-1/8) assuming m is positive.\n' | b'm**(61/120)\n' | b'Simplify m**(2/15)*m**(-1)*(m**(1/4)*m)/m**(-1/8) assuming m is positive.\n' | b'm**(61/120)\n' | deepmind/math_dataset |
b'Simplify ((g**(-2)*g/g**9)/((g*g*g/g**(-8))/g*g*g**(6/11)))**(8/15) assuming g is positive.\n' | b'g**(-632/55)\n' | b'Simplify ((g**(-2)*g/g**9)/((g*g*g/g**(-8))/g*g*g**(6/11)))**(8/15) assuming g is positive.\n' | b'g**(-632/55)\n' | deepmind/math_dataset |
b'Simplify ((u/u**(23/3))/u**(-21))**46 assuming u is positive.\n' | b'u**(1978/3)\n' | b'Simplify ((u/u**(23/3))/u**(-21))**46 assuming u is positive.\n' | b'u**(1978/3)\n' | deepmind/math_dataset |
b'Let t(y) be the third derivative of 0*y**5 + 2*y**2 + 0 + 0*y**3 + 0*y**6 - 7/24*y**4 + 0*y + 1/168*y**8 + 0*y**7. Find the second derivative of t(f) wrt f.\n' | b'40*f**3\n' | b'Let t(y) be the third derivative of 0*y**5 + 2*y**2 + 0 + 0*y**3 + 0*y**6 - 7/24*y**4 + 0*y + 1/168*y**8 + 0*y**7. Find the second derivative of t(f) wrt f.\n' | b'40*f**3\n' | deepmind/math_dataset |
b'What is prob of sequence sbz when three letters picked without replacement from jtzsbbsy?\n' | b'1/84\n' | b'What is prob of sequence sbz when three letters picked without replacement from jtzsbbsy?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let d be 1 + -1 + -3 + 3. Let f = d + 2. What is the derivative of 0 + 1 - f*l**2 + 3*l**2 wrt l?\n' | b'2*l\n' | b'Let d be 1 + -1 + -3 + 3. Let f = d + 2. What is the derivative of 0 + 1 - f*l**2 + 3*l**2 wrt l?\n' | b'2*l\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 x, and 1 z when three letters picked without replacement from buzxiazu.\n' | b'1/14\n' | b'Calculate prob of picking 1 u, 1 x, and 1 z when three letters picked without replacement from buzxiazu.\n' | b'1/14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gzvvigvivzgggvz. Give prob of picking 4 v.\n' | b'1/273\n' | b'Four letters picked without replacement from gzvvigvivzgggvz. Give prob of picking 4 v.\n' | b'1/273\n' | deepmind/math_dataset |
b'What is prob of sequence ea when two letters picked without replacement from eea?\n' | b'1/3\n' | b'What is prob of sequence ea when two letters picked without replacement from eea?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (((u/(u*u*u**8))**29)**3)**12 assuming u is positive.\n' | b'u**(-9396)\n' | b'Simplify (((u/(u*u*u**8))**29)**3)**12 assuming u is positive.\n' | b'u**(-9396)\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from {x: 1, j: 2, s: 2, f: 4, o: 1}?\n' | b'1/45\n' | b'What is prob of picking 2 s when two letters picked without replacement from {x: 1, j: 2, s: 2, f: 4, o: 1}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose -5*r - 4*z = -4, 3*r - 12 - 8 = 2*z. Suppose r*m - 113 = -41. Find the second derivative of -2*i**3 + 8*i**3 - 3*i + 6*i**3 + m*i wrt i.\n' | b'72*i\n' | b'Suppose -5*r - 4*z = -4, 3*r - 12 - 8 = 2*z. Suppose r*m - 113 = -41. Find the second derivative of -2*i**3 + 8*i**3 - 3*i + 6*i**3 + m*i wrt i.\n' | b'72*i\n' | deepmind/math_dataset |
b'Simplify (j*j**(-1)*j**(-4))/(j**(-2/15)*j**(-2/7)*j) assuming j is positive.\n' | b'j**(-481/105)\n' | b'Simplify (j*j**(-1)*j**(-4))/(j**(-2/15)*j**(-2/7)*j) assuming j is positive.\n' | b'j**(-481/105)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 7, w: 2}. What is prob of sequence ttt?\n' | b'5/12\n' | b'Three letters picked without replacement from {t: 7, w: 2}. What is prob of sequence ttt?\n' | b'5/12\n' | deepmind/math_dataset |
b'Calculate prob of sequence wydy when four letters picked without replacement from wdodyvvwvvya.\n' | b'1/1485\n' | b'Calculate prob of sequence wydy when four letters picked without replacement from wdodyvvwvvya.\n' | b'1/1485\n' | deepmind/math_dataset |
b'Simplify (q**(1/2)/q)**(-1/3)*q**4/q**(1/7) assuming q is positive.\n' | b'q**(169/42)\n' | b'Simplify (q**(1/2)/q)**(-1/3)*q**4/q**(1/7) assuming q is positive.\n' | b'q**(169/42)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n when three letters picked without replacement from {d: 2, i: 1, n: 4}.\n' | b'4/35\n' | b'Calculate prob of picking 3 n when three letters picked without replacement from {d: 2, i: 1, n: 4}.\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from axxaxax. Give prob of picking 2 a.\n' | b'1/7\n' | b'Two letters picked without replacement from axxaxax. Give prob of picking 2 a.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let o = -70 - -296. Let b be -4 + (-6)/2 + o. What is the second derivative of -3*a - 229*a**5 - 3*a + b*a**5 wrt a?\n' | b'-200*a**3\n' | b'Let o = -70 - -296. Let b be -4 + (-6)/2 + o. What is the second derivative of -3*a - 229*a**5 - 3*a + b*a**5 wrt a?\n' | b'-200*a**3\n' | deepmind/math_dataset |
b'Let u = -6408 + 6412. Solve -u*d = -82*r + 83*r + 21, -r = d + 9 for d.\n' | b'-4\n' | b'Let u = -6408 + 6412. Solve -u*d = -82*r + 83*r + 21, -r = d + 9 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaaiaaaaaiaaai. What is prob of picking 2 i?\n' | b'1/40\n' | b'Two letters picked without replacement from aaaaaiaaaaaiaaai. What is prob of picking 2 i?\n' | b'1/40\n' | deepmind/math_dataset |
b'Calculate prob of sequence in when two letters picked without replacement from nnznnninnngyyniiinz.\n' | b'20/171\n' | b'Calculate prob of sequence in when two letters picked without replacement from nnznnninnngyyniiinz.\n' | b'20/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jojjijiiojjiijjij. What is prob of sequence jjo?\n' | b'3/85\n' | b'Three letters picked without replacement from jojjijiiojjiijjij. What is prob of sequence jjo?\n' | b'3/85\n' | deepmind/math_dataset |
b'Simplify (s/(s/s**(-1/3)*s)*(s/(s/(s/(s/s**(1/3)))))/s*s*(s*s/(s/s**3))/s**(1/5))/((s*s**0/s)**(-21/5)*((s*s**0)/s)**(2/29)) assuming s is positive.\n' | b's**(14/5)\n' | b'Simplify (s/(s/s**(-1/3)*s)*(s/(s/(s/(s/s**(1/3)))))/s*s*(s*s/(s/s**3))/s**(1/5))/((s*s**0/s)**(-21/5)*((s*s**0)/s)**(2/29)) assuming s is positive.\n' | b's**(14/5)\n' | deepmind/math_dataset |
b'Simplify (((u**(-3/11)*u*u)/u)/u*u*u)/(u**20/u)*((u/(u*u/((u*u*u/(u*u**9/u))/u)))/u)**27 assuming u is positive.\n' | b'u**(-2863/11)\n' | b'Simplify (((u**(-3/11)*u*u)/u)/u*u*u)/(u**20/u)*((u/(u*u/((u*u*u/(u*u**9/u))/u)))/u)**27 assuming u is positive.\n' | b'u**(-2863/11)\n' | deepmind/math_dataset |
b'Simplify ((g*g*g*g**1/g)**28)**(2/65)*(g*g*g/g**1)**25*g/g**(-2/13)*g*(g*g**(2/9)/g)/g*g assuming g is positive.\n' | b'g**(32152/585)\n' | b'Simplify ((g*g*g*g**1/g)**28)**(2/65)*(g*g*g/g**1)**25*g/g**(-2/13)*g*(g*g**(2/9)/g)/g*g assuming g is positive.\n' | b'g**(32152/585)\n' | deepmind/math_dataset |
b'Simplify (f**(-2/29))**(10/9) assuming f is positive.\n' | b'f**(-20/261)\n' | b'Simplify (f**(-2/29))**(10/9) assuming f is positive.\n' | b'f**(-20/261)\n' | deepmind/math_dataset |
b'Simplify (j**26)**(2/123)*(j**(-15)*j)**(-43) assuming j is positive.\n' | b'j**(74098/123)\n' | b'Simplify (j**26)**(2/123)*(j**(-15)*j)**(-43) assuming j is positive.\n' | b'j**(74098/123)\n' | deepmind/math_dataset |
b'Simplify (x**(2/3)*x)**(-7)/((x**(-2/3)*x)/(x**(-4)/x*x)) assuming x is positive.\n' | b'x**(-16)\n' | b'Simplify (x**(2/3)*x)**(-7)/((x**(-2/3)*x)/(x**(-4)/x*x)) assuming x is positive.\n' | b'x**(-16)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 t, and 2 n when four letters picked without replacement from njggjnjgnt?\n' | b'3/70\n' | b'What is prob of picking 1 g, 1 t, and 2 n when four letters picked without replacement from njggjnjgnt?\n' | b'3/70\n' | deepmind/math_dataset |
b'Let l(i) be the second derivative of 73*i**7/14 + 220*i**3/3 + 357*i. What is the second derivative of l(n) wrt n?\n' | b'4380*n**3\n' | b'Let l(i) be the second derivative of 73*i**7/14 + 220*i**3/3 + 357*i. What is the second derivative of l(n) wrt n?\n' | b'4380*n**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 4, o: 1, g: 5, t: 1, x: 4}. Give prob of sequence ggx.\n' | b'8/273\n' | b'Three letters picked without replacement from {d: 4, o: 1, g: 5, t: 1, x: 4}. Give prob of sequence ggx.\n' | b'8/273\n' | deepmind/math_dataset |
b'Simplify (k/k**(-1/17))/(k*k**33) assuming k is positive.\n' | b'k**(-560/17)\n' | b'Simplify (k/k**(-1/17))/(k*k**33) assuming k is positive.\n' | b'k**(-560/17)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xrgr when four letters picked without replacement from {g: 1, s: 1, r: 2, k: 2, x: 2, c: 4}.\n' | b'1/2970\n' | b'Calculate prob of sequence xrgr when four letters picked without replacement from {g: 1, s: 1, r: 2, k: 2, x: 2, c: 4}.\n' | b'1/2970\n' | deepmind/math_dataset |
b'Simplify j/(j**28/j)*(j/(j/(j/(j*j/(j**(-2/67)/j)))))/j assuming j is positive.\n' | b'j**(-1945/67)\n' | b'Simplify j/(j**28/j)*(j/(j/(j/(j*j/(j**(-2/67)/j)))))/j assuming j is positive.\n' | b'j**(-1945/67)\n' | deepmind/math_dataset |
b'Let i(h) be the second derivative of 0*h**6 + 0*h**5 - 14*h + 0*h**3 + 0*h**2 + 43/4*h**4 + 5 + 29/14*h**7. Find the third derivative of i(m) wrt m.\n' | b'5220*m**2\n' | b'Let i(h) be the second derivative of 0*h**6 + 0*h**5 - 14*h + 0*h**3 + 0*h**2 + 43/4*h**4 + 5 + 29/14*h**7. Find the third derivative of i(m) wrt m.\n' | b'5220*m**2\n' | deepmind/math_dataset |
b'Let i(m) be the second derivative of -m**7/840 + m**4/24 + m**3/3 + 2*m. Let g(n) be the second derivative of i(n). Differentiate g(h) wrt h.\n' | b'-3*h**2\n' | b'Let i(m) be the second derivative of -m**7/840 + m**4/24 + m**3/3 + 2*m. Let g(n) be the second derivative of i(n). Differentiate g(h) wrt h.\n' | b'-3*h**2\n' | deepmind/math_dataset |
b'Let o be 11 + 1/(-1) - (0 - 1). Solve h + 4*h + 3*z = -o, -h - z = 1 for h.\n' | b'-4\n' | b'Let o be 11 + 1/(-1) - (0 - 1). Solve h + 4*h + 3*z = -o, -h - z = 1 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, t: 6, g: 3, i: 1, p: 2}. What is prob of picking 1 t, 1 i, and 1 p?\n' | b'6/143\n' | b'Three letters picked without replacement from {z: 1, t: 6, g: 3, i: 1, p: 2}. What is prob of picking 1 t, 1 i, and 1 p?\n' | b'6/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 8, k: 2}. Give prob of sequence bk.\n' | b'8/45\n' | b'Two letters picked without replacement from {b: 8, k: 2}. Give prob of sequence bk.\n' | b'8/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fifikfiffkifok. Give prob of picking 1 i and 1 k.\n' | b'12/91\n' | b'Two letters picked without replacement from fifikfiffkifok. Give prob of picking 1 i and 1 k.\n' | b'12/91\n' | deepmind/math_dataset |
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