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 h(v) = 0 + 3 + v - 6*v. Let l(j) = -20*j + 13. Let p(t) = -9*h(t) + 2*l(t). What is p(2)?\n' | b'9\n' | b'Let h(v) = 0 + 3 + v - 6*v. Let l(j) = -20*j + 13. Let p(t) = -9*h(t) + 2*l(t). What is p(2)?\n' | b'9\n' | deepmind/math_dataset |
b'Let b(g) be the second derivative of -g**3/6 - 3*g**2/2 + 142*g. Give b(-4).\n' | b'1\n' | b'Let b(g) be the second derivative of -g**3/6 - 3*g**2/2 + 142*g. Give b(-4).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (x/x**0*x)**(2/37)/((x*(x/x**2)/x*x)/(x*x**2)) assuming x is positive.\n' | b'x**(115/37)\n' | b'Simplify (x/x**0*x)**(2/37)/((x*(x/x**2)/x*x)/(x*x**2)) assuming x is positive.\n' | b'x**(115/37)\n' | deepmind/math_dataset |
b'Let u(i) be the first derivative of -i**4/4 + 2*i**3 - 2*i**2 - 3*i + 2. Suppose -3*l - 5 = -4*n, 0 = 4*l - 3*n + n - 10. Calculate u(l).\n' | b'2\n' | b'Let u(i) be the first derivative of -i**4/4 + 2*i**3 - 2*i**2 - 3*i + 2. Suppose -3*l - 5 = -4*n, 0 = 4*l - 3*n + n - 10. Calculate u(l).\n' | b'2\n' | deepmind/math_dataset |
b'Let c be -12*(-12 + 1267/105)*(-30)/8. Solve 0 = 63*l - 62*l + 4, 0 = 5*h - c*l - 12 for h.\n' | b'0\n' | b'Let c be -12*(-12 + 1267/105)*(-30)/8. Solve 0 = 63*l - 62*l + 4, 0 = 5*h - c*l - 12 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(f) = 3*f**3 - 8*f**2 - 38. Let h(d) = -13*d + 108. Let u be h(8). Let z(j) = 5*j**3 - 15*j**2 - 76. Let b(q) = u*z(q) - 7*x(q). Differentiate b(v) wrt v.\n' | b'-3*v**2 - 8*v\n' | b'Let x(f) = 3*f**3 - 8*f**2 - 38. Let h(d) = -13*d + 108. Let u be h(8). Let z(j) = 5*j**3 - 15*j**2 - 76. Let b(q) = u*z(q) - 7*x(q). Differentiate b(v) wrt v.\n' | b'-3*v**2 - 8*v\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from {q: 6}.\n' | b'1\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from {q: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Let j(c) = 3*c - 1. Let d be j(1). Suppose -h = d*l - 3, 4*l + 5*h = h. Solve 24 = -4*q + l*s + 4, -2*q - s = 0 for q.\n' | b'-2\n' | b'Let j(c) = 3*c - 1. Let d be j(1). Suppose -h = d*l - 3, 4*l + 5*h = h. Solve 24 = -4*q + l*s + 4, -2*q - s = 0 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -4*h - 1 = -17. Solve -h*t - i = 0, 3*t + 18 = t - 5*i for t.\n' | b'1\n' | b'Suppose -4*h - 1 = -17. Solve -h*t - i = 0, 3*t + 18 = t - 5*i for t.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -3*j - 3*d - 9 = 0, 3*d = j - 3*j - 11. Solve 8 = -j*r - 4*s, -5*s + 1 = -r + 4 for r.\n' | b'-2\n' | b'Suppose -3*j - 3*d - 9 = 0, 3*d = j - 3*j - 11. Solve 8 = -j*r - 4*s, -5*s + 1 = -r + 4 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w = 264 - 267. Let p be 0*(-1)/4*2. Let r(t) = -9*t**2 + p + 5*t + 4 + 10*t**2. Determine r(w).\n' | b'-2\n' | b'Let w = 264 - 267. Let p be 0*(-1)/4*2. Let r(t) = -9*t**2 + p + 5*t + 4 + 10*t**2. Determine r(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(y) = 2 - 6*y**2 + y**3 - 2 - 2 + 103*y - 99*y + 2*y**2. Calculate o(2).\n' | b'-2\n' | b'Let o(y) = 2 - 6*y**2 + y**3 - 2 - 2 + 103*y - 99*y + 2*y**2. Calculate o(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = 5*k - 12 - 23. Suppose -k*g = -g - 12. Find the third derivative of -6*d**2 - 4*d**5 + 0*d**2 + d**g + 3*d**2 wrt d.\n' | b'-240*d**2\n' | b'Suppose 0 = 5*k - 12 - 23. Suppose -k*g = -g - 12. Find the third derivative of -6*d**2 - 4*d**5 + 0*d**2 + d**g + 3*d**2 wrt d.\n' | b'-240*d**2\n' | deepmind/math_dataset |
b'Let r(n) be the first derivative of -3*n**2 + n + 16. Let w = -61 - -64. Suppose -3*x - w*x = 12. Calculate r(x).\n' | b'13\n' | b'Let r(n) be the first derivative of -3*n**2 + n + 16. Let w = -61 - -64. Suppose -3*x - w*x = 12. Calculate r(x).\n' | b'13\n' | deepmind/math_dataset |
b'Let s(r) be the second derivative of r**4/4 - 7*r**3/3 + 11*r**2 - 1614*r. Determine s(2).\n' | b'6\n' | b'Let s(r) be the second derivative of r**4/4 - 7*r**3/3 + 11*r**2 - 1614*r. Determine s(2).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((o*o*o/o**(4/7)*o*o**(-6)*o)**29)**(-24) assuming o is positive.\n' | b'o**(7656/7)\n' | b'Simplify ((o*o*o/o**(4/7)*o*o**(-6)*o)**29)**(-24) assuming o is positive.\n' | b'o**(7656/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ktnynstnnttrsrt. What is prob of sequence rnr?\n' | b'4/1365\n' | b'Three letters picked without replacement from ktnynstnnttrsrt. What is prob of sequence rnr?\n' | b'4/1365\n' | deepmind/math_dataset |
b'Simplify (x**(-1/11))**(-1/10)*x/(x*x*x**1*x*x)*x*x**(-3/5) assuming x is positive.\n' | b'x**(-79/22)\n' | b'Simplify (x**(-1/11))**(-1/10)*x/(x*x*x**1*x*x)*x*x**(-3/5) assuming x is positive.\n' | b'x**(-79/22)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 6, j: 6, x: 5, d: 1}. Give prob of picking 1 j and 3 x.\n' | b'1/51\n' | b'Four letters picked without replacement from {g: 6, j: 6, x: 5, d: 1}. Give prob of picking 1 j and 3 x.\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify ((l*l**(2/73)/l*l*l*l*l**(-19)*l*l)**(-1/4))**(3/5) assuming l is positive.\n' | b'l**(153/73)\n' | b'Simplify ((l*l**(2/73)/l*l*l*l*l**(-19)*l*l)**(-1/4))**(3/5) assuming l is positive.\n' | b'l**(153/73)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 7, t: 5}. Give prob of picking 3 u and 1 t.\n' | b'35/99\n' | b'Four letters picked without replacement from {u: 7, t: 5}. Give prob of picking 3 u and 1 t.\n' | b'35/99\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 m when two letters picked without replacement from {m: 2, p: 4, e: 3}?\n' | b'1/6\n' | b'What is prob of picking 1 e and 1 m when two letters picked without replacement from {m: 2, p: 4, e: 3}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let s(q) = q**2 - q - 6. Let u be s(4). Let j(y) = -y**3 + 5*y**2 + 7*y + 1. What is j(u)?\n' | b'7\n' | b'Let s(q) = q**2 - q - 6. Let u be s(4). Let j(y) = -y**3 + 5*y**2 + 7*y + 1. What is j(u)?\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 3*y - 22 = -7. Let a = 37 - 26. Let j be ((-12)/16)/((-462)/(-96) + -5). Solve -2 = -2*k + j*k - 2*n, y*n - a = 2*k for k.\n' | b'2\n' | b'Suppose 3*y - 22 = -7. Let a = 37 - 26. Let j be ((-12)/16)/((-462)/(-96) + -5). Solve -2 = -2*k + j*k - 2*n, y*n - a = 2*k for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let l be 6/(-4)*(-10)/3. Find the third derivative of 126 - 126 - 14*h**5 + 40*h**l - 26*h**2 wrt h.\n' | b'1560*h**2\n' | b'Let l be 6/(-4)*(-10)/3. Find the third derivative of 126 - 126 - 14*h**5 + 40*h**l - 26*h**2 wrt h.\n' | b'1560*h**2\n' | deepmind/math_dataset |
b'Simplify (((g/(g**(-6)/g)*g)/(g/(g/g**(-3/2))))/(g**(-1/3)*g**(-1/12)))/((((g/((g/g**3)/g))/g*g)/g*(g/g**(-4))/g)/(g**(-7)/(g**7*g*g))) assuming g is positive.\n' | b'g**(-145/12)\n' | b'Simplify (((g/(g**(-6)/g)*g)/(g/(g/g**(-3/2))))/(g**(-1/3)*g**(-1/12)))/((((g/((g/g**3)/g))/g*g)/g*(g/g**(-4))/g)/(g**(-7)/(g**7*g*g))) assuming g is positive.\n' | b'g**(-145/12)\n' | deepmind/math_dataset |
b'Let y(k) = -9*k + 8. Let v(j) = -27*j + 25. Let g(z) = -3*v(z) + 8*y(z). What is the first derivative of g(b) wrt b?\n' | b'9\n' | b'Let y(k) = -9*k + 8. Let v(j) = -27*j + 25. Let g(z) = -3*v(z) + 8*y(z). What is the first derivative of g(b) wrt b?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((((p**(-3/4)*p)/p)/((p/p**(3/5))/p))/((p*p**(8/3))/p)**4)**(-1/5) assuming p is positive.\n' | b'p**(649/300)\n' | b'Simplify ((((p**(-3/4)*p)/p)/((p/p**(3/5))/p))/((p*p**(8/3))/p)**4)**(-1/5) assuming p is positive.\n' | b'p**(649/300)\n' | deepmind/math_dataset |
b'Let g(j) be the second derivative of 7*j - 5/6*j**4 + 0*j**3 + 11/2*j**2 + 0. What is the first derivative of g(c) wrt c?\n' | b'-20*c\n' | b'Let g(j) be the second derivative of 7*j - 5/6*j**4 + 0*j**3 + 11/2*j**2 + 0. What is the first derivative of g(c) wrt c?\n' | b'-20*c\n' | deepmind/math_dataset |
b'Suppose -4*d + 2*o = -16, d + 3*d + 5*o - 30 = 0. Solve 5*g = 3*h - h + d, 4*h - 2 = -2*g for g.\n' | b'1\n' | b'Suppose -4*d + 2*o = -16, d + 3*d + 5*o - 30 = 0. Solve 5*g = 3*h - h + d, 4*h - 2 = -2*g for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let u be (-8 + (2 - -1))*22/(-55). Solve o + u*o - 19 = -4*h, -3*h = 4*o - 16 for o.\n' | b'1\n' | b'Let u be (-8 + (2 - -1))*22/(-55). Solve o + u*o - 19 = -4*h, -3*h = 4*o - 16 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (w**(-8)/w*w*w**(-5))/(w*w**0*w**(-1))*(w/(w/(w**9/w)*w)*w**(-2)/w*w*w)/((w/(((w/(w*w**(-2/21)/w))/w)/w)*w)/(w/w**(-1/7))) assuming w is positive.\n' | b'w**(-184/21)\n' | b'Simplify (w**(-8)/w*w*w**(-5))/(w*w**0*w**(-1))*(w/(w/(w**9/w)*w)*w**(-2)/w*w*w)/((w/(((w/(w*w**(-2/21)/w))/w)/w)*w)/(w/w**(-1/7))) assuming w is positive.\n' | b'w**(-184/21)\n' | deepmind/math_dataset |
b'Simplify (y**(3/2))**(5/13)*(y*(y**28*y)/y)/(((y/y**14)/y*y*y)/y) assuming y is positive.\n' | b'y**(1107/26)\n' | b'Simplify (y**(3/2))**(5/13)*(y*(y**28*y)/y)/(((y/y**14)/y*y*y)/y) assuming y is positive.\n' | b'y**(1107/26)\n' | deepmind/math_dataset |
b'Let v be 1*((-2)/4)/(5/(-20)). Solve 2*k = -4*t + v, -7*t = -2*t - 2*k - 7 for t.\n' | b'1\n' | b'Let v be 1*((-2)/4)/(5/(-20)). Solve 2*k = -4*t + v, -7*t = -2*t - 2*k - 7 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let n = 327 - 296. Suppose -17*a - 56 = -n*a. Solve 4*k - 5*z = -1 - 9, 0 = k - a*z + 8 for k.\n' | b'0\n' | b'Let n = 327 - 296. Suppose -17*a - 56 = -n*a. Solve 4*k - 5*z = -1 - 9, 0 = k - a*z + 8 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -4*g + 16 = 2*f, -4*g + 3*g - 3 = 4*f. Differentiate z**2 - 19 - 21*z**2 - 3 + g with respect to z.\n' | b'-40*z\n' | b'Suppose -4*g + 16 = 2*f, -4*g + 3*g - 3 = 4*f. Differentiate z**2 - 19 - 21*z**2 - 3 + g with respect to z.\n' | b'-40*z\n' | deepmind/math_dataset |
b'What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?\n' | b'66*a - 6\n' | b'What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?\n' | b'66*a - 6\n' | deepmind/math_dataset |
b'Suppose -3*s = 2*u - 19, 3*s + 15 = 5*u - 1. Let i be (0/(-1))/(((-8)/(-2))/(-4)). Suppose i = -6*y + 4 + 8. Solve y*g - 4*f + 35 = -g, s*f = -4*g - 5 for g.\n' | b'-5\n' | b'Suppose -3*s = 2*u - 19, 3*s + 15 = 5*u - 1. Let i be (0/(-1))/(((-8)/(-2))/(-4)). Suppose i = -6*y + 4 + 8. Solve y*g - 4*f + 35 = -g, s*f = -4*g - 5 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify z**7/(z*z/z**(2/17))*z*z*z**(-4/5)*z*z*z*z**(1/4) assuming z is positive.\n' | b'z**(3253/340)\n' | b'Simplify z**7/(z*z/z**(2/17))*z*z*z**(-4/5)*z*z*z*z**(1/4) assuming z is positive.\n' | b'z**(3253/340)\n' | deepmind/math_dataset |
b'Let w(f) = 22*f - 308. Suppose 1300 = 7*q + 1202. Calculate w(q).\n' | b'0\n' | b'Let w(f) = 22*f - 308. Suppose 1300 = 7*q + 1202. Calculate w(q).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nqniwiinnwi. Give prob of picking 3 n.\n' | b'4/165\n' | b'Three letters picked without replacement from nqniwiinnwi. Give prob of picking 3 n.\n' | b'4/165\n' | deepmind/math_dataset |
b'Let f = -15994 - -15998. Let b(n) be the first derivative of 0*n**2 + 0*n - n**3 + 0*n**f - 28/5*n**5 - 11. Find the third derivative of b(p) wrt p.\n' | b'-672*p\n' | b'Let f = -15994 - -15998. Let b(n) be the first derivative of 0*n**2 + 0*n - n**3 + 0*n**f - 28/5*n**5 - 11. Find the third derivative of b(p) wrt p.\n' | b'-672*p\n' | deepmind/math_dataset |
b'Let k be ((-22)/55)/((-1)/5) - -116. What is the third derivative of -k*v**2 + 2*v**5 - v**5 + 133*v**2 wrt v?\n' | b'60*v**2\n' | b'Let k be ((-22)/55)/((-1)/5) - -116. What is the third derivative of -k*v**2 + 2*v**5 - v**5 + 133*v**2 wrt v?\n' | b'60*v**2\n' | deepmind/math_dataset |
b'Simplify ((i/((i/((((i/i**(1/2))/i)/i)/i))/i))/i)/i**1*(i*i**3*i*i)/(i*i**(-3)) assuming i is positive.\n' | b'i**(9/2)\n' | b'Simplify ((i/((i/((((i/i**(1/2))/i)/i)/i))/i))/i)/i**1*(i*i**3*i*i)/(i*i**(-3)) assuming i is positive.\n' | b'i**(9/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, j: 4, x: 4, p: 3, o: 5}. What is prob of sequence ojp?\n' | b'10/969\n' | b'Three letters picked without replacement from {r: 3, j: 4, x: 4, p: 3, o: 5}. What is prob of sequence ojp?\n' | b'10/969\n' | deepmind/math_dataset |
b'Let z(h) = 13*h**2 + 6*h + 4. Let p(o) = -3*o**2 - o - 1. Let u(f) = -9*p(f) - 2*z(f). Give u(7).\n' | b'29\n' | b'Let z(h) = 13*h**2 + 6*h + 4. Let p(o) = -3*o**2 - o - 1. Let u(f) = -9*p(f) - 2*z(f). Give u(7).\n' | b'29\n' | deepmind/math_dataset |
b'Let s(l) = 4*l**2 - 24*l - 230. Let o be s(-6). Solve -32 = 5*f + 3*m, 4*f + 2*m + o = 34 for f.\n' | b'-4\n' | b'Let s(l) = 4*l**2 - 24*l - 230. Let o be s(-6). Solve -32 = 5*f + 3*m, 4*f + 2*m + o = 34 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence rj when two letters picked without replacement from rrrrrrrjjr.\n' | b'8/45\n' | b'Calculate prob of sequence rj when two letters picked without replacement from rrrrrrrjjr.\n' | b'8/45\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ozoaxtoyxytty. Give prob of sequence azo.\n' | b'1/572\n' | b'Three letters picked without replacement from ozoaxtoyxytty. Give prob of sequence azo.\n' | b'1/572\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lxtxlettxwlllxx. What is prob of sequence lel?\n' | b'2/273\n' | b'Three letters picked without replacement from lxtxlettxwlllxx. What is prob of sequence lel?\n' | b'2/273\n' | deepmind/math_dataset |
b'What is prob of sequence bn when two letters picked without replacement from {w: 2, v: 1, n: 1, b: 1}?\n' | b'1/20\n' | b'What is prob of sequence bn when two letters picked without replacement from {w: 2, v: 1, n: 1, b: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let s(p) = -7*p**3 - 11*p**2 - p + 29. Let o(b) = -17*b**2 - 14*b**3 - b + 14*b**3 - 10*b**3 + 43. Let z(k) = -5*o(k) + 7*s(k). Determine z(-8).\n' | b'4\n' | b'Let s(p) = -7*p**3 - 11*p**2 - p + 29. Let o(b) = -17*b**2 - 14*b**3 - b + 14*b**3 - 10*b**3 + 43. Let z(k) = -5*o(k) + 7*s(k). Determine z(-8).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, w: 4, o: 2, n: 7}. What is prob of sequence wov?\n' | b'1/273\n' | b'Three letters picked without replacement from {v: 1, w: 4, o: 2, n: 7}. What is prob of sequence wov?\n' | b'1/273\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, n: 4, l: 1, m: 2, j: 4, q: 3}. What is prob of picking 1 j, 1 y, 1 l, and 1 n?\n' | b'16/1365\n' | b'Four letters picked without replacement from {y: 1, n: 4, l: 1, m: 2, j: 4, q: 3}. What is prob of picking 1 j, 1 y, 1 l, and 1 n?\n' | b'16/1365\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 3, r: 9}. What is prob of sequence lr?\n' | b'9/44\n' | b'Two letters picked without replacement from {l: 3, r: 9}. What is prob of sequence lr?\n' | b'9/44\n' | deepmind/math_dataset |
b'Let z(v) = v**3 - 5*v**2 + 4*v - 6. Let q(n) = n**2 - 6*n - 1. Let y be q(7). Suppose -4*h - 4*m + 58 = 22, 2*m + y = 4*h. What is z(h)?\n' | b'-6\n' | b'Let z(v) = v**3 - 5*v**2 + 4*v - 6. Let q(n) = n**2 - 6*n - 1. Let y be q(7). Suppose -4*h - 4*m + 58 = 22, 2*m + y = 4*h. What is z(h)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is the second derivative of 20*i - 129 - 404*i**5 - 393*i + 128 - 237*i - 74*i wrt i?\n' | b'-8080*i**3\n' | b'What is the second derivative of 20*i - 129 - 404*i**5 - 393*i + 128 - 237*i - 74*i wrt i?\n' | b'-8080*i**3\n' | deepmind/math_dataset |
b'Let u(l) be the first derivative of 5*l**4/2 + l**2/2 - 306*l + 631. Differentiate u(b) wrt b.\n' | b'30*b**2 + 1\n' | b'Let u(l) be the first derivative of 5*l**4/2 + l**2/2 - 306*l + 631. Differentiate u(b) wrt b.\n' | b'30*b**2 + 1\n' | deepmind/math_dataset |
b'Simplify (q*q*q*q**(-16)*q)/(q**(1/8)*q) assuming q is positive.\n' | b'q**(-105/8)\n' | b'Simplify (q*q*q*q**(-16)*q)/(q**(1/8)*q) assuming q is positive.\n' | b'q**(-105/8)\n' | deepmind/math_dataset |
b'Let n(l) = -l**2 + 7*l + 332. Let r be n(-15). Solve -20 = 2*b - r*t, -4*b + 8*b + 15 = -t for b.\n' | b'-5\n' | b'Let n(l) = -l**2 + 7*l + 332. Let r be n(-15). Solve -20 = 2*b - r*t, -4*b + 8*b + 15 = -t for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p = 13 + -12. Suppose 0 = 7*z + p - 43. Let b(s) = 5 - 11*s**2 + 23*s**2 - 11*s**2 + 4 - z*s. What is b(6)?\n' | b'9\n' | b'Let p = 13 + -12. Suppose 0 = 7*z + p - 43. Let b(s) = 5 - 11*s**2 + 23*s**2 - 11*s**2 + 4 - z*s. What is b(6)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((z/(z*z**(-1)))**30)**(-14) assuming z is positive.\n' | b'z**(-420)\n' | b'Simplify ((z/(z*z**(-1)))**30)**(-14) assuming z is positive.\n' | b'z**(-420)\n' | deepmind/math_dataset |
b'Let i be ((-2)/3)/(4/(-42)). Let v(m) = -m + 5. Give v(i).\n' | b'-2\n' | b'Let i be ((-2)/3)/(4/(-42)). Let v(m) = -m + 5. Give v(i).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from cmmccmcmmcmmmmmmmmmm?\n' | b'1/19\n' | b'What is prob of picking 2 c when two letters picked without replacement from cmmccmcmmcmmmmmmmmmm?\n' | b'1/19\n' | deepmind/math_dataset |
b'Let z be 2/(-3)*(-2 - -11). Let f = 10 + z. Suppose -4*n = -0*n - 16. Solve -f*c + 5*k = -15 + n, 19 = 5*c - k for c.\n' | b'4\n' | b'Let z be 2/(-3)*(-2 - -11). Let f = 10 + z. Suppose -4*n = -0*n - 16. Solve -f*c + 5*k = -15 + n, 19 = 5*c - k for c.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qpappaprdadr.\n' | b'1/33\n' | b'Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qpappaprdadr.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let y(p) = -571*p - 591. Let n(o) = -311*o - 296. Let m(t) = -11*n(t) + 6*y(t). Calculate m(-58).\n' | b'0\n' | b'Let y(p) = -571*p - 591. Let n(o) = -311*o - 296. Let m(t) = -11*n(t) + 6*y(t). Calculate m(-58).\n' | b'0\n' | deepmind/math_dataset |
b'Let j be 2 + 2 + -1 + -2. Suppose -4*d = -7 - j. What is the second derivative of 0*s**2 + 0*s**2 + 3*s**d - 2*s wrt s?\n' | b'6\n' | b'Let j be 2 + 2 + -1 + -2. Suppose -4*d = -7 - j. What is the second derivative of 0*s**2 + 0*s**2 + 3*s**d - 2*s wrt s?\n' | b'6\n' | deepmind/math_dataset |
b'Let y(i) = 3*i**3 - 7*i**2 - 1. Let t(h) = -h**3 - h**2. Let o = -51 - -49. Let c(f) = o*y(f) + 14*t(f). Differentiate c(j) with respect to j.\n' | b'-60*j**2\n' | b'Let y(i) = 3*i**3 - 7*i**2 - 1. Let t(h) = -h**3 - h**2. Let o = -51 - -49. Let c(f) = o*y(f) + 14*t(f). Differentiate c(j) with respect to j.\n' | b'-60*j**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xllxxexr. Give prob of picking 1 r and 1 l.\n' | b'1/14\n' | b'Two letters picked without replacement from xllxxexr. Give prob of picking 1 r and 1 l.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is the third derivative of 46*i**5 + 57*i**5 + 522*i**2 - 7809*i**3 + 7811*i**3 wrt i?\n' | b'6180*i**2 + 12\n' | b'What is the third derivative of 46*i**5 + 57*i**5 + 522*i**2 - 7809*i**3 + 7811*i**3 wrt i?\n' | b'6180*i**2 + 12\n' | deepmind/math_dataset |
b'Simplify g**42/(g/(g*g**(-16/3)))*g**(-32)*g**(-31)/g assuming g is positive.\n' | b'g**(-82/3)\n' | b'Simplify g**42/(g/(g*g**(-16/3)))*g**(-32)*g**(-31)/g assuming g is positive.\n' | b'g**(-82/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 p when two letters picked without replacement from {x: 5, p: 2, w: 5}?\n' | b'5/33\n' | b'What is prob of picking 1 w and 1 p when two letters picked without replacement from {x: 5, p: 2, w: 5}?\n' | b'5/33\n' | deepmind/math_dataset |
b'Simplify b/b**(-14)*b/(b/(b*b/b**31)*b)*(b/b**(-3/4))**(-1/4) assuming b is positive.\n' | b'b**(-247/16)\n' | b'Simplify b/b**(-14)*b/(b/(b*b/b**31)*b)*(b/b**(-3/4))**(-1/4) assuming b is positive.\n' | b'b**(-247/16)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gttttxxjtxtjxgtrrtxg. Give prob of picking 2 t, 1 x, and 1 r.\n' | b'56/969\n' | b'Four letters picked without replacement from gttttxxjtxtjxgtrrtxg. Give prob of picking 2 t, 1 x, and 1 r.\n' | b'56/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 4, s: 3}. Give prob of sequence ss.\n' | b'1/7\n' | b'Two letters picked without replacement from {o: 4, s: 3}. Give prob of sequence ss.\n' | b'1/7\n' | deepmind/math_dataset |
b'Find the third derivative of -41*w**5 + 2*w**2 - 2*w**3 - 28*w**5 + 0*w**5 + 71*w wrt w.\n' | b'-4140*w**2 - 12\n' | b'Find the third derivative of -41*w**5 + 2*w**2 - 2*w**3 - 28*w**5 + 0*w**5 + 71*w wrt w.\n' | b'-4140*w**2 - 12\n' | deepmind/math_dataset |
b'Suppose -4 = -4*w - 4*d, 3*w - 2*d = d + 27. Suppose w*b + b = 12. Solve f = 5*l - 15, -l - 3 = -b*l - 4*f for l.\n' | b'3\n' | b'Suppose -4 = -4*w - 4*d, 3*w - 2*d = d + 27. Suppose w*b + b = 12. Solve f = 5*l - 15, -l - 3 = -b*l - 4*f for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let u = 114 - 109. Solve -u = 2*g - v, -5*g - 3*v - 5 = -8*v for g.\n' | b'-4\n' | b'Let u = 114 - 109. Solve -u = 2*g - v, -5*g - 3*v - 5 = -8*v for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(w) = -w**4 - w**2 - w + 1. Let h(v) = -6*v**5 + 6*v**4 + 6*v**2 - v - 6. Let p(k) = h(k) + 6*x(k). Find the second derivative of p(y) wrt y.\n' | b'-120*y**3\n' | b'Let x(w) = -w**4 - w**2 - w + 1. Let h(v) = -6*v**5 + 6*v**4 + 6*v**2 - v - 6. Let p(k) = h(k) + 6*x(k). Find the second derivative of p(y) wrt y.\n' | b'-120*y**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from nnccnqnccnccngcncq?\n' | b'1/153\n' | b'What is prob of picking 2 q when two letters picked without replacement from nnccnqnccnccngcncq?\n' | b'1/153\n' | deepmind/math_dataset |
b'Let k = -721 - -729. Let f(p) be the first derivative of -3/5*p**5 - k + 0*p + 0*p**2 + 0*p**4 + 5/3*p**3. Find the third derivative of f(v) wrt v.\n' | b'-72*v\n' | b'Let k = -721 - -729. Let f(p) be the first derivative of -3/5*p**5 - k + 0*p + 0*p**2 + 0*p**4 + 5/3*p**3. Find the third derivative of f(v) wrt v.\n' | b'-72*v\n' | deepmind/math_dataset |
b'Simplify (l**(-2/9)/l**(-4/3))**(2/85)*(l**4/(l**(1/3)*l))/((l*l*l**4*l*l*l)/l**(-2/15)) assuming l is positive.\n' | b'l**(-4927/765)\n' | b'Simplify (l**(-2/9)/l**(-4/3))**(2/85)*(l**4/(l**(1/3)*l))/((l*l*l**4*l*l*l)/l**(-2/15)) assuming l is positive.\n' | b'l**(-4927/765)\n' | deepmind/math_dataset |
b'Let t(p) be the first derivative of -p**2 + 3*p - 2. Suppose -4*a + 12 = 7*r - 2*r, 3 = a - 2*r. Suppose 2*i - 20 = -a*i. Calculate t(i).\n' | b'-5\n' | b'Let t(p) be the first derivative of -p**2 + 3*p - 2. Suppose -4*a + 12 = 7*r - 2*r, 3 = a - 2*r. Suppose 2*i - 20 = -a*i. Calculate t(i).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, j: 3, s: 1, h: 5}. What is prob of sequence vhs?\n' | b'1/144\n' | b'Three letters picked without replacement from {v: 1, j: 3, s: 1, h: 5}. What is prob of sequence vhs?\n' | b'1/144\n' | deepmind/math_dataset |
b'Suppose 0 = -5*b - l + 15, -2*l = 4*b + 2*l - 28. Solve 4*x - i = -4*i + 28, -x - b*i + 12 = 0 for x.\n' | b'4\n' | b'Suppose 0 = -5*b - l + 15, -2*l = 4*b + 2*l - 28. Solve 4*x - i = -4*i + 28, -x - b*i + 12 = 0 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((m*m/m**11*m)/m**(9/7))**(-2))**(1/33) assuming m is positive.\n' | b'm**(130/231)\n' | b'Simplify (((m*m/m**11*m)/m**(9/7))**(-2))**(1/33) assuming m is positive.\n' | b'm**(130/231)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 2 e when three letters picked without replacement from heeehhhhhqqhhhh.\n' | b'6/91\n' | b'Calculate prob of picking 1 h and 2 e when three letters picked without replacement from heeehhhhhqqhhhh.\n' | b'6/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, k: 7, l: 7}. Give prob of picking 1 k and 1 q.\n' | b'7/60\n' | b'Two letters picked without replacement from {q: 2, k: 7, l: 7}. Give prob of picking 1 k and 1 q.\n' | b'7/60\n' | deepmind/math_dataset |
b'Suppose -5*y + 11 = -h, y = 6*h - 2*h - 51. Let f(x) = -24*x + 20. Let l(q) = -5*q + 4. Let a(m) = h*l(m) - 3*f(m). Give a(7).\n' | b'10\n' | b'Suppose -5*y + 11 = -h, y = 6*h - 2*h - 51. Let f(x) = -24*x + 20. Let l(q) = -5*q + 4. Let a(m) = h*l(m) - 3*f(m). Give a(7).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (n*n**1)**(-1/13)/(n**(1/12)/n*n**(-2/3)) assuming n is positive.\n' | b'n**(223/156)\n' | b'Simplify (n*n**1)**(-1/13)/(n**(1/12)/n*n**(-2/3)) assuming n is positive.\n' | b'n**(223/156)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n, 1 q, and 1 b when three letters picked without replacement from neenneenqrnnnnbenan.\n' | b'10/969\n' | b'Calculate prob of picking 1 n, 1 q, and 1 b when three letters picked without replacement from neenneenqrnnnnbenan.\n' | b'10/969\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {v: 2, j: 2, m: 2}.\n' | b'1/15\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {v: 2, j: 2, m: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (v**(2/29)*v**(-9/7))/(v/(v*v**(2/3))*v*v)**(2/83) assuming v is positive.\n' | b'v**(-63127/50547)\n' | b'Simplify (v**(2/29)*v**(-9/7))/(v/(v*v**(2/3))*v*v)**(2/83) assuming v is positive.\n' | b'v**(-63127/50547)\n' | deepmind/math_dataset |
b'Let p(w) be the third derivative of w**6/720 - w**5/40 - w**4/24 - w**2. Let k(y) be the second derivative of p(y). Let h = -8 - -12. Give k(h).\n' | b'1\n' | b'Let p(w) be the third derivative of w**6/720 - w**5/40 - w**4/24 - w**2. Let k(y) be the second derivative of p(y). Let h = -8 - -12. Give k(h).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {c: 9, w: 9}?\n' | b'4/17\n' | b'What is prob of sequence ww when two letters picked without replacement from {c: 9, w: 9}?\n' | b'4/17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 2, p: 4, b: 4, f: 4, m: 6}. What is prob of picking 3 b and 1 m?\n' | b'8/1615\n' | b'Four letters picked without replacement from {g: 2, p: 4, b: 4, f: 4, m: 6}. What is prob of picking 3 b and 1 m?\n' | b'8/1615\n' | deepmind/math_dataset |
b'Find the second derivative of 3503*r**2 + 459*r - 3503*r**2 - 118*r**5 wrt r.\n' | b'-2360*r**3\n' | b'Find the second derivative of 3503*r**2 + 459*r - 3503*r**2 - 118*r**5 wrt r.\n' | b'-2360*r**3\n' | deepmind/math_dataset |
b'Suppose -5*c = -5*a + 15, -3*a + 8*a = 4*c + 14. Let q be ((-5)/10)/(-1)*a - 0. Let x(o) = 11*o**2 + 18*o - 18*o. What is x(q)?\n' | b'11\n' | b'Suppose -5*c = -5*a + 15, -3*a + 8*a = 4*c + 14. Let q be ((-5)/10)/(-1)*a - 0. Let x(o) = 11*o**2 + 18*o - 18*o. What is x(q)?\n' | b'11\n' | deepmind/math_dataset |
b'Let a(x) = 14*x**2 - 2*x + 1. Let n be 1*((-66)/(-14) - (-10)/35). Suppose -2*t = -n*t + 270. Suppose 95 = 5*j + t. Give a(j).\n' | b'13\n' | b'Let a(x) = 14*x**2 - 2*x + 1. Let n be 1*((-66)/(-14) - (-10)/35). Suppose -2*t = -n*t + 270. Suppose 95 = 5*j + t. Give a(j).\n' | b'13\n' | deepmind/math_dataset |
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