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 f(m) = -m + 3. Let v be f(0). Suppose 0*t - t = -5*p + 3, 4*p - 9 = 3*t. Find the second derivative of -g + 0 - v*g**3 + p wrt g.\n' | b'-18*g\n' | b'Let f(m) = -m + 3. Let v be f(0). Suppose 0*t - t = -5*p + 3, 4*p - 9 = 3*t. Find the second derivative of -g + 0 - v*g**3 + p wrt g.\n' | b'-18*g\n' | deepmind/math_dataset |
b'Let o(c) = 0*c**3 - 1 - 26*c - c**3 - 4*c**2 + 24*c. Give o(-4).\n' | b'7\n' | b'Let o(c) = 0*c**3 - 1 - 26*c - c**3 - 4*c**2 + 24*c. Give o(-4).\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ekpqfekfqkvfevv. What is prob of sequence ek?\n' | b'3/70\n' | b'Two letters picked without replacement from ekpqfekfqkvfevv. What is prob of sequence ek?\n' | b'3/70\n' | deepmind/math_dataset |
b'What is the third derivative of -61*q**6 + 419*q**6 - 7730*q + 7730*q + 204*q**2 wrt q?\n' | b'42960*q**3\n' | b'What is the third derivative of -61*q**6 + 419*q**6 - 7730*q + 7730*q + 204*q**2 wrt q?\n' | b'42960*q**3\n' | deepmind/math_dataset |
b'Suppose -z - 4*z = 15, -t + 9 = -z. Suppose -t*u = -10*u + 24. Suppose 8*a + 12 = u*a. Let c(o) = -o**2 - 6*o - 4. Give c(a).\n' | b'-4\n' | b'Suppose -z - 4*z = 15, -t + 9 = -z. Suppose -t*u = -10*u + 24. Suppose 8*a + 12 = u*a. Let c(o) = -o**2 - 6*o - 4. Give c(a).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify r*r*r**(-8)/r*r*r/r**20 assuming r is positive.\n' | b'r**(-25)\n' | b'Simplify r*r*r**(-8)/r*r*r/r**20 assuming r is positive.\n' | b'r**(-25)\n' | deepmind/math_dataset |
b'Let j be (-2 - (-10)/4)*-6. Let b = 0 - j. Let o(r) = r**2 - 3*r + 2. Let l(s) = -s**2 + 3*s - 3. Let i(g) = -3*l(g) - 4*o(g). Give i(b).\n' | b'1\n' | b'Let j be (-2 - (-10)/4)*-6. Let b = 0 - j. Let o(r) = r**2 - 3*r + 2. Let l(s) = -s**2 + 3*s - 3. Let i(g) = -3*l(g) - 4*o(g). Give i(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let o(k) = 0*k + 2590 + 0*k + 2*k - 2591. What is o(-10)?\n' | b'-21\n' | b'Let o(k) = 0*k + 2590 + 0*k + 2*k - 2591. What is o(-10)?\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 g when three letters picked without replacement from qmrgggx?\n' | b'3/35\n' | b'What is prob of picking 1 q and 2 g when three letters picked without replacement from qmrgggx?\n' | b'3/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 4, u: 5, x: 3}. Give prob of sequence ttt.\n' | b'1/55\n' | b'Three letters picked without replacement from {t: 4, u: 5, x: 3}. Give prob of sequence ttt.\n' | b'1/55\n' | deepmind/math_dataset |
b'Find the second derivative of -29*y**4 + 3*y - 73*y**4 + 4*y**2 - 396*y**4 - 4*y**2 + 66 wrt y.\n' | b'-5976*y**2\n' | b'Find the second derivative of -29*y**4 + 3*y - 73*y**4 + 4*y**2 - 396*y**4 - 4*y**2 + 66 wrt y.\n' | b'-5976*y**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence xch when three letters picked without replacement from {x: 2, c: 1, h: 4}.\n' | b'4/105\n' | b'Calculate prob of sequence xch when three letters picked without replacement from {x: 2, c: 1, h: 4}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Simplify ((d/d**3*d)/d**(-1/3))**(-2/49)/((d**(-1))**(-47)*(d**(1/4)*d)**(4/5)) assuming d is positive.\n' | b'd**(-7052/147)\n' | b'Simplify ((d/d**3*d)/d**(-1/3))**(-2/49)/((d**(-1))**(-47)*(d**(1/4)*d)**(4/5)) assuming d is positive.\n' | b'd**(-7052/147)\n' | deepmind/math_dataset |
b'Let i = -7 - -10. Differentiate 60 + 80 - 184 - 10*k**i with respect to k.\n' | b'-30*k**2\n' | b'Let i = -7 - -10. Differentiate 60 + 80 - 184 - 10*k**i with respect to k.\n' | b'-30*k**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 8, d: 5}. Give prob of picking 1 d and 1 n.\n' | b'20/39\n' | b'Two letters picked without replacement from {n: 8, d: 5}. Give prob of picking 1 d and 1 n.\n' | b'20/39\n' | deepmind/math_dataset |
b'Suppose -4*r + i = -11, -4*r - 3*i = i + 4. Let a(k) be the first derivative of -2*k**2 - 1/4*k**4 + 6*k + r + 5/3*k**3. Determine a(4).\n' | b'6\n' | b'Suppose -4*r + i = -11, -4*r - 3*i = i + 4. Let a(k) be the first derivative of -2*k**2 - 1/4*k**4 + 6*k + r + 5/3*k**3. Determine a(4).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((y/(y/y**(2/43)))**(-9/7))**(-23) assuming y is positive.\n' | b'y**(414/301)\n' | b'Simplify ((y/(y/y**(2/43)))**(-9/7))**(-23) assuming y is positive.\n' | b'y**(414/301)\n' | deepmind/math_dataset |
b'Let j(g) = -2*g + 4. Let u = 43 + -43. Let r = -3 + u. Determine j(r).\n' | b'10\n' | b'Let j(g) = -2*g + 4. Let u = 43 + -43. Let r = -3 + u. Determine j(r).\n' | b'10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, c: 1, i: 1}. Give prob of sequence hic.\n' | b'1/12\n' | b'Three letters picked without replacement from {h: 2, c: 1, i: 1}. Give prob of sequence hic.\n' | b'1/12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from amwfmwmmafmwawmap. Give prob of sequence waww.\n' | b'1/595\n' | b'Four letters picked without replacement from amwfmwmmafmwawmap. Give prob of sequence waww.\n' | b'1/595\n' | deepmind/math_dataset |
b'Let i(z) be the second derivative of z**5/10 - 9*z**4/4 + 8*z**3/3 - 19*z**2/2 - 110*z. Let v be i(13). Solve 0*d + 4*d - 3*p = -15, -3*d + 4*p = v for d.\n' | b'0\n' | b'Let i(z) be the second derivative of z**5/10 - 9*z**4/4 + 8*z**3/3 - 19*z**2/2 - 110*z. Let v be i(13). Solve 0*d + 4*d - 3*p = -15, -3*d + 4*p = v for d.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyrrryy.\n' | b'14/55\n' | b'Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyrrryy.\n' | b'14/55\n' | deepmind/math_dataset |
b'Let o be 2/(2 - (1 - 1)). Let z(w) = -w - 1. Let h(a) = -11*a - 8. Let m(d) = -h(d) + 2*z(d). Let j(p) = -7*p - 4. Let c(q) = 4*j(q) + 3*m(q). What is c(o)?\n' | b'1\n' | b'Let o be 2/(2 - (1 - 1)). Let z(w) = -w - 1. Let h(a) = -11*a - 8. Let m(d) = -h(d) + 2*z(d). Let j(p) = -7*p - 4. Let c(q) = 4*j(q) + 3*m(q). What is c(o)?\n' | b'1\n' | deepmind/math_dataset |
b'Let s(c) be the second derivative of c**8/840 - c**4/8 + c**3/3 + c. Let j(m) be the second derivative of s(m). Find the first derivative of j(z) wrt z.\n' | b'8*z**3\n' | b'Let s(c) be the second derivative of c**8/840 - c**4/8 + c**3/3 + c. Let j(m) be the second derivative of s(m). Find the first derivative of j(z) wrt z.\n' | b'8*z**3\n' | deepmind/math_dataset |
b'Let x(q) = -q**3 + 2*q**2 + 9*q + 2. Let i be (-196)/(-36) - (-5 - (-392)/72). What is x(i)?\n' | b'-28\n' | b'Let x(q) = -q**3 + 2*q**2 + 9*q + 2. Let i be (-196)/(-36) - (-5 - (-392)/72). What is x(i)?\n' | b'-28\n' | deepmind/math_dataset |
b'Let n(b) = b + 31 + 6*b - 9*b + 12 - 3*b - b**2. Calculate n(-10).\n' | b'-7\n' | b'Let n(b) = b + 31 + 6*b - 9*b + 12 - 3*b - b**2. Calculate n(-10).\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of sequence nyy when three letters picked without replacement from {y: 2, n: 1}?\n' | b'1/3\n' | b'What is prob of sequence nyy when three letters picked without replacement from {y: 2, n: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose 0 = -134*b + 141*b - 28. Let j(x) be the first derivative of x**3/3 - 5*x + 3. Give j(b).\n' | b'11\n' | b'Suppose 0 = -134*b + 141*b - 28. Let j(x) be the first derivative of x**3/3 - 5*x + 3. Give j(b).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from stjsjtjtstjjj. Give prob of sequence tstt.\n' | b'3/715\n' | b'Four letters picked without replacement from stjsjtjtstjjj. Give prob of sequence tstt.\n' | b'3/715\n' | deepmind/math_dataset |
b'Suppose 2*r - 6 = p, p + r + 2*r = 19. Suppose -5*d + 4 + 51 = 0. Solve 4*u - 12 = 5*h, -2*h - 5*u + d + p = 0 for h.\n' | b'0\n' | b'Suppose 2*r - 6 = p, p + r + 2*r = 19. Suppose -5*d + 4 + 51 = 0. Solve 4*u - 12 = 5*h, -2*h - 5*u + d + p = 0 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let g be 17/442*(3 + 27) + 12/(-78). Let t(d) = 5*d**2 - 8*d + 5. Calculate t(g).\n' | b'2\n' | b'Let g be 17/442*(3 + 27) + 12/(-78). Let t(d) = 5*d**2 - 8*d + 5. Calculate t(g).\n' | b'2\n' | deepmind/math_dataset |
b'Let i(p) = -16*p**2 - 18*p**2 + 33*p**2. Let z(o) = -2*o**2 - 13*o. Let d(y) = -3*i(y) - z(y). What is the second derivative of d(t) wrt t?\n' | b'10\n' | b'Let i(p) = -16*p**2 - 18*p**2 + 33*p**2. Let z(o) = -2*o**2 - 13*o. Let d(y) = -3*i(y) - z(y). What is the second derivative of d(t) wrt t?\n' | b'10\n' | deepmind/math_dataset |
b'Let s be 2 + (4 - (-355)/(-60)). Let o(h) be the second derivative of h - 1/2*h**3 + 0 + 0*h**2 + s*h**4. Find the second derivative of o(j) wrt j.\n' | b'2\n' | b'Let s be 2 + (4 - (-355)/(-60)). Let o(h) be the second derivative of h - 1/2*h**3 + 0 + 0*h**2 + s*h**4. Find the second derivative of o(j) wrt j.\n' | b'2\n' | deepmind/math_dataset |
b'Find the third derivative of m - 4*m**2 + 21*m**3 + 11*m + 4151052 + 19*m**4 - 4151049 wrt m.\n' | b'456*m + 126\n' | b'Find the third derivative of m - 4*m**2 + 21*m**3 + 11*m + 4151052 + 19*m**4 - 4151049 wrt m.\n' | b'456*m + 126\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s, 1 v, and 1 h when four letters picked without replacement from {v: 7, y: 2, s: 4, b: 1, h: 4, g: 2}.\n' | b'56/1615\n' | b'Calculate prob of picking 2 s, 1 v, and 1 h when four letters picked without replacement from {v: 7, y: 2, s: 4, b: 1, h: 4, g: 2}.\n' | b'56/1615\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 c when two letters picked without replacement from {j: 1, c: 1, p: 2, d: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 d and 1 c when two letters picked without replacement from {j: 1, c: 1, p: 2, d: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ippxvcxw. What is prob of picking 1 i, 2 p, and 1 v?\n' | b'1/70\n' | b'Four letters picked without replacement from ippxvcxw. What is prob of picking 1 i, 2 p, and 1 v?\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/3))**(6/5))**(5/2)/(((f**(1/4)/f)/f*f)/((f*f*f/(f*f*f/(f/(f/f**(-5/3)))*f))/f)*(f/f**(-1))**(-25)) assuming f is positive.\n' | b'f**(541/12)\n' | b'Simplify ((f**(-2/3))**(6/5))**(5/2)/(((f**(1/4)/f)/f*f)/((f*f*f/(f*f*f/(f/(f/f**(-5/3)))*f))/f)*(f/f**(-1))**(-25)) assuming f is positive.\n' | b'f**(541/12)\n' | deepmind/math_dataset |
b'Let s(i) = 2*i + 59. Let p be s(-20). Differentiate 4*y**4 - 10*y**4 - 16*y**4 - p + 49 wrt y.\n' | b'-88*y**3\n' | b'Let s(i) = 2*i + 59. Let p be s(-20). Differentiate 4*y**4 - 10*y**4 - 16*y**4 - p + 49 wrt y.\n' | b'-88*y**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oooobuuouooououoosu. Give prob of sequence suoo.\n' | b'55/7752\n' | b'Four letters picked without replacement from oooobuuouooououoosu. Give prob of sequence suoo.\n' | b'55/7752\n' | deepmind/math_dataset |
b'Let y(x) be the first derivative of x**4/12 + x**3 - x**2 - 2. Let a(u) be the second derivative of y(u). Let t = 7 - 12. What is a(t)?\n' | b'-4\n' | b'Let y(x) be the first derivative of x**4/12 + x**3 - x**2 - 2. Let a(u) be the second derivative of y(u). Let t = 7 - 12. What is a(t)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (a/(a*a/(a*a/(a**3*a)*a))*a*a*a/(a**(-1/47)*a)*a)/(a*a**6/a*a**29/a*a) assuming a is positive.\n' | b'a**(-1597/47)\n' | b'Simplify (a/(a*a/(a*a/(a**3*a)*a))*a*a*a/(a**(-1/47)*a)*a)/(a*a**6/a*a**29/a*a) assuming a is positive.\n' | b'a**(-1597/47)\n' | deepmind/math_dataset |
b'Let b(p) = p + 3 - 7 - 1 + 2. Let y be b(7). Let d(w) be the third derivative of -w**5/60 + w**4/4 - w**3 + w**2. What is d(y)?\n' | b'2\n' | b'Let b(p) = p + 3 - 7 - 1 + 2. Let y be b(7). Let d(w) be the third derivative of -w**5/60 + w**4/4 - w**3 + w**2. What is d(y)?\n' | b'2\n' | deepmind/math_dataset |
b'Let n(q) be the second derivative of q**3 + 2*q**2 - 2*q - 586. Suppose -h - j + 1 = 0, 5*h + 4 = h - 2*j. What is n(h)?\n' | b'-14\n' | b'Let n(q) be the second derivative of q**3 + 2*q**2 - 2*q - 586. Suppose -h - j + 1 = 0, 5*h + 4 = h - 2*j. What is n(h)?\n' | b'-14\n' | deepmind/math_dataset |
b'Let q(b) be the third derivative of b**4/6 - 2*b**3 + 14*b**2. Let z be q(4). What is the third derivative of 20*j**4 - 32*j**4 + 54*j**4 - z*j**2 wrt j?\n' | b'1008*j\n' | b'Let q(b) be the third derivative of b**4/6 - 2*b**3 + 14*b**2. Let z be q(4). What is the third derivative of 20*j**4 - 32*j**4 + 54*j**4 - z*j**2 wrt j?\n' | b'1008*j\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {l: 1, o: 4, u: 2, d: 4, x: 6}.\n' | b'9/170\n' | b'Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {l: 1, o: 4, u: 2, d: 4, x: 6}.\n' | b'9/170\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaalllatapalrra. Give prob of sequence pt.\n' | b'1/210\n' | b'Two letters picked without replacement from aaalllatapalrra. Give prob of sequence pt.\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose -2*p - 6 = p - 3*a, -5*a = 2*p - 10. Let r(n) be the first derivative of 1/2*n**4 + p*n**3 - n - 3 - n**2. What is r(-1)?\n' | b'-1\n' | b'Suppose -2*p - 6 = p - 3*a, -5*a = 2*p - 10. Let r(n) be the first derivative of 1/2*n**4 + p*n**3 - n - 3 - n**2. What is r(-1)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(o) be the second derivative of -317*o**4/12 - o**3/3 - 38*o**2 + 3*o + 2. What is the second derivative of n(p) wrt p?\n' | b'-634\n' | b'Let n(o) be the second derivative of -317*o**4/12 - o**3/3 - 38*o**2 + 3*o + 2. What is the second derivative of n(p) wrt p?\n' | b'-634\n' | deepmind/math_dataset |
b'What is prob of picking 2 r when two letters picked without replacement from {r: 3, a: 3, h: 1}?\n' | b'1/7\n' | b'What is prob of picking 2 r when two letters picked without replacement from {r: 3, a: 3, h: 1}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d and 2 c when four letters picked without replacement from {d: 3, c: 17}.\n' | b'8/95\n' | b'Calculate prob of picking 2 d and 2 c when four letters picked without replacement from {d: 3, c: 17}.\n' | b'8/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nxll. What is prob of sequence xl?\n' | b'1/6\n' | b'Two letters picked without replacement from nxll. What is prob of sequence xl?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (v/(v*v*v**(4/3)*v*v))**(2/89)/(((v/v**20)/v)/(v/(v/(v*v/(v/v**(7/5)))))) assuming v is positive.\n' | b'v**(29774/1335)\n' | b'Simplify (v/(v*v*v**(4/3)*v*v))**(2/89)/(((v/v**20)/v)/(v/(v/(v*v/(v/v**(7/5)))))) assuming v is positive.\n' | b'v**(29774/1335)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {x: 6, m: 2, s: 1, z: 3}.\n' | b'3/11\n' | b'Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {x: 6, m: 2, s: 1, z: 3}.\n' | b'3/11\n' | deepmind/math_dataset |
b'Simplify (l**(-2/5))**(-1/6)*l*l/(l/(l*l*l**(-8)))*l**(-17) assuming l is positive.\n' | b'l**(-329/15)\n' | b'Simplify (l**(-2/5))**(-1/6)*l*l/(l/(l*l*l**(-8)))*l**(-17) assuming l is positive.\n' | b'l**(-329/15)\n' | deepmind/math_dataset |
b'What is prob of sequence hi when two letters picked without replacement from haotoiw?\n' | b'1/42\n' | b'What is prob of sequence hi when two letters picked without replacement from haotoiw?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from yvvyvvy.\n' | b'1/7\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from yvvyvvy.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let u(l) be the first derivative of -1/3*l**3 + 0*l**2 - 5 + 2*l. Find the first derivative of u(o) wrt o.\n' | b'-2*o\n' | b'Let u(l) be the first derivative of -1/3*l**3 + 0*l**2 - 5 + 2*l. Find the first derivative of u(o) wrt o.\n' | b'-2*o\n' | deepmind/math_dataset |
b'Four letters picked without replacement from guguggngbygbgng. What is prob of picking 1 b, 1 y, 1 g, and 1 n?\n' | b'32/1365\n' | b'Four letters picked without replacement from guguggngbygbgng. What is prob of picking 1 b, 1 y, 1 g, and 1 n?\n' | b'32/1365\n' | deepmind/math_dataset |
b'Suppose m - 4*m + 159 = -z, m + z - 57 = 0. Let q = 57 - m. Suppose -5*a - 4*h = -8, 0*h + 4*h - 8 = -4*a. Solve -5*g = -k - a*g - 9, q*g + 9 = -3*k for k.\n' | b'-4\n' | b'Suppose m - 4*m + 159 = -z, m + z - 57 = 0. Let q = 57 - m. Suppose -5*a - 4*h = -8, 0*h + 4*h - 8 = -4*a. Solve -5*g = -k - a*g - 9, q*g + 9 = -3*k for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(d) be the second derivative of -3343*d**4/4 - 8999*d**3/6 - 14*d + 51. What is the second derivative of v(g) wrt g?\n' | b'-20058\n' | b'Let v(d) be the second derivative of -3343*d**4/4 - 8999*d**3/6 - 14*d + 51. What is the second derivative of v(g) wrt g?\n' | b'-20058\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jmbjiijbjbb. Give prob of sequence ij.\n' | b'4/55\n' | b'Two letters picked without replacement from jmbjiijbjbb. Give prob of sequence ij.\n' | b'4/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lkifflkffkciflll. What is prob of sequence cl?\n' | b'1/48\n' | b'Two letters picked without replacement from lkifflkffkciflll. What is prob of sequence cl?\n' | b'1/48\n' | deepmind/math_dataset |
b'Suppose 3*q = z - 1, 20*z - 3 = 19*z + q. Solve -z*h + 22 = u, 1 = -2*u - 35*h + 36*h for u.\n' | b'2\n' | b'Suppose 3*q = z - 1, 20*z - 3 = 19*z + q. Solve -z*h + 22 = u, 1 = -2*u - 35*h + 36*h for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**(-11/4)))/f**(1/8)*(f/(f*f**(8/3))*f)**(2/11) assuming f is positive.\n' | b'f**(613/264)\n' | b'Simplify (f/(f*f**(-11/4)))/f**(1/8)*(f/(f*f**(8/3))*f)**(2/11) assuming f is positive.\n' | b'f**(613/264)\n' | deepmind/math_dataset |
b'Let a(x) = x**2 - 4. Let q be (-20)/(-9) - (2/9)/1. Let o be a(q). Solve o = -2*t, -5*d + 5*t = -4*d for d.\n' | b'0\n' | b'Let a(x) = x**2 - 4. Let q be (-20)/(-9) - (2/9)/1. Let o be a(q). Solve o = -2*t, -5*d + 5*t = -4*d for d.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (q**5/(q/q**4))**15 assuming q is positive.\n' | b'q**120\n' | b'Simplify (q**5/(q/q**4))**15 assuming q is positive.\n' | b'q**120\n' | deepmind/math_dataset |
b'Suppose n + 3*w - 62 = 0, -53*w = -52*w - 2. What is the second derivative of -60 + 61*y + 32 + n*y**2 + 13*y + 28 wrt y?\n' | b'112\n' | b'Suppose n + 3*w - 62 = 0, -53*w = -52*w - 2. What is the second derivative of -60 + 61*y + 32 + n*y**2 + 13*y + 28 wrt y?\n' | b'112\n' | deepmind/math_dataset |
b'Let x(u) = 5809*u**4 + 6*u**3 - 12*u**2 + 6*u + 422. Let s(j) = j**3 - 2*j**2 + j. Let w(h) = -6*s(h) + x(h). Differentiate w(y) wrt y.\n' | b'23236*y**3\n' | b'Let x(u) = 5809*u**4 + 6*u**3 - 12*u**2 + 6*u + 422. Let s(j) = j**3 - 2*j**2 + j. Let w(h) = -6*s(h) + x(h). Differentiate w(y) wrt y.\n' | b'23236*y**3\n' | deepmind/math_dataset |
b'Let a = 530 - 526. Solve 2*w + a = 4*d, w - 2 = 3*d - 5*d for w.\n' | b'0\n' | b'Let a = 530 - 526. Solve 2*w + a = 4*d, w - 2 = 3*d - 5*d for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let v = 16 + -11. Suppose 5*x = g + 6 + 2, 0 = g + x + 2. Let s = g - -6. Solve v*l = 10, -s*a - 5*l + 3*l - 5 = 0 for a.\n' | b'-3\n' | b'Let v = 16 + -11. Suppose 5*x = g + 6 + 2, 0 = g + x + 2. Let s = g - -6. Solve v*l = 10, -s*a - 5*l + 3*l - 5 = 0 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 6, n: 4, d: 5, z: 1}. Give prob of picking 3 d.\n' | b'1/56\n' | b'Three letters picked without replacement from {k: 6, n: 4, d: 5, z: 1}. Give prob of picking 3 d.\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify i/(i/(i**(-43)/i*i))*(i/(i/i**43))/i assuming i is positive.\n' | b'1/i\n' | b'Simplify i/(i/(i**(-43)/i*i))*(i/(i/i**43))/i assuming i is positive.\n' | b'1/i\n' | deepmind/math_dataset |
b'Simplify (u**(-2))**(4/21) assuming u is positive.\n' | b'u**(-8/21)\n' | b'Simplify (u**(-2))**(4/21) assuming u is positive.\n' | b'u**(-8/21)\n' | deepmind/math_dataset |
b'Let p(c) be the first derivative of c**2/2 + 7*c + 2. Let a be p(-5). What is the derivative of -1 + 2 - a*n**3 + 3*n**3 wrt n?\n' | b'3*n**2\n' | b'Let p(c) be the first derivative of c**2/2 + 7*c + 2. Let a be p(-5). What is the derivative of -1 + 2 - a*n**3 + 3*n**3 wrt n?\n' | b'3*n**2\n' | deepmind/math_dataset |
b'Differentiate -341 - 2260*u**3 - 2295*u**3 + 4664*u**3 wrt u.\n' | b'327*u**2\n' | b'Differentiate -341 - 2260*u**3 - 2295*u**3 + 4664*u**3 wrt u.\n' | b'327*u**2\n' | deepmind/math_dataset |
b'Differentiate 45*o**4 - 27*o**4 - 20*o**2 + 6*o**2 - 369 - 3*o**2 + 85 wrt o.\n' | b'72*o**3 - 34*o\n' | b'Differentiate 45*o**4 - 27*o**4 - 20*o**2 + 6*o**2 - 369 - 3*o**2 + 85 wrt o.\n' | b'72*o**3 - 34*o\n' | deepmind/math_dataset |
b'Simplify (l**(1/3)*l**(-1)*l)/((l**(5/4)/l*l)/(l*l**(1/12)*l)) assuming l is positive.\n' | b'l**(7/6)\n' | b'Simplify (l**(1/3)*l**(-1)*l)/((l**(5/4)/l*l)/(l*l**(1/12)*l)) assuming l is positive.\n' | b'l**(7/6)\n' | deepmind/math_dataset |
b'Simplify (((y/y**(-2/15))/y)/(y/(y**(-4)/y*y*y)))**(-4/19)*(y/(y*y/(y/y**1)))**36/(y**(2/9))**18 assuming y is positive.\n' | b'y**(-11168/285)\n' | b'Simplify (((y/y**(-2/15))/y)/(y/(y**(-4)/y*y*y)))**(-4/19)*(y/(y*y/(y/y**1)))**36/(y**(2/9))**18 assuming y is positive.\n' | b'y**(-11168/285)\n' | deepmind/math_dataset |
b'What is prob of sequence ne when two letters picked without replacement from neeqecceceeeeeeqeqee?\n' | b'13/380\n' | b'What is prob of sequence ne when two letters picked without replacement from neeqecceceeeeeeqeqee?\n' | b'13/380\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kvkbffhdvfvff. Give prob of picking 1 h, 1 f, and 1 k.\n' | b'5/143\n' | b'Three letters picked without replacement from kvkbffhdvfvff. Give prob of picking 1 h, 1 f, and 1 k.\n' | b'5/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, w: 1, s: 1, u: 1}. Give prob of picking 1 s, 1 m, and 1 u.\n' | b'1/5\n' | b'Three letters picked without replacement from {m: 2, w: 1, s: 1, u: 1}. Give prob of picking 1 s, 1 m, and 1 u.\n' | b'1/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from baababpaaabbaba.\n' | b'1/7\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from baababpaaabbaba.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let x(p) = p**3 - p - 388. Let v be x(0). Let h = v - -392. Solve -4*i - 16 = h*y, -5*i - 20 = y - 4*y for y.\n' | b'0\n' | b'Let x(p) = p**3 - p - 388. Let v be x(0). Let h = v - -392. Solve -4*i - 16 = h*y, -5*i - 20 = y - 4*y for y.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 2, e: 3, h: 4, m: 2, c: 2}. Give prob of picking 1 b, 1 m, and 1 c.\n' | b'4/143\n' | b'Three letters picked without replacement from {b: 2, e: 3, h: 4, m: 2, c: 2}. Give prob of picking 1 b, 1 m, and 1 c.\n' | b'4/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssssysssssss. What is prob of picking 2 s?\n' | b'5/6\n' | b'Two letters picked without replacement from ssssysssssss. What is prob of picking 2 s?\n' | b'5/6\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from pzzdfztzttzddefdfptt?\n' | b'1/190\n' | b'What is prob of picking 2 p when two letters picked without replacement from pzzdfztzttzddefdfptt?\n' | b'1/190\n' | deepmind/math_dataset |
b'What is prob of sequence ftm when three letters picked without replacement from fmt?\n' | b'1/6\n' | b'What is prob of sequence ftm when three letters picked without replacement from fmt?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (c**31/c)/(c**9/c)*(c/c**(-35))/(c**(-34)/c) assuming c is positive.\n' | b'c**93\n' | b'Simplify (c**31/c)/(c**9/c)*(c/c**(-35))/(c**(-34)/c) assuming c is positive.\n' | b'c**93\n' | deepmind/math_dataset |
b'Simplify ((((v**2)**1)**48)**(5/3))**(-13) assuming v is positive.\n' | b'v**(-2080)\n' | b'Simplify ((((v**2)**1)**48)**(5/3))**(-13) assuming v is positive.\n' | b'v**(-2080)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, s: 4, q: 7}. What is prob of picking 3 s?\n' | b'2/143\n' | b'Three letters picked without replacement from {x: 2, s: 4, q: 7}. What is prob of picking 3 s?\n' | b'2/143\n' | deepmind/math_dataset |
b'Let b = 412 - 109. Let x(a) = 7*a + 0*a**2 - 6*a**2 - 304*a**3 + b*a**3 - 9. Suppose -5*k = 31 + 4. What is x(k)?\n' | b'-9\n' | b'Let b = 412 - 109. Let x(a) = 7*a + 0*a**2 - 6*a**2 - 304*a**3 + b*a**3 - 9. Suppose -5*k = 31 + 4. What is x(k)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let r(a) be the first derivative of -931*a**4/4 + 682*a**2 - 1587. What is the second derivative of r(k) wrt k?\n' | b'-5586*k\n' | b'Let r(a) be the first derivative of -931*a**4/4 + 682*a**2 - 1587. What is the second derivative of r(k) wrt k?\n' | b'-5586*k\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dbjbjjc. What is prob of sequence jbcd?\n' | b'1/140\n' | b'Four letters picked without replacement from dbjbjjc. What is prob of sequence jbcd?\n' | b'1/140\n' | deepmind/math_dataset |
b'Simplify ((t/(t**(-2/3)/t)*t*t*((t*t/t**7*t*t)/t*t)/t)**7)**33 assuming t is positive.\n' | b't**154\n' | b'Simplify ((t/(t**(-2/3)/t)*t*t*((t*t/t**7*t*t)/t*t)/t)**7)**33 assuming t is positive.\n' | b't**154\n' | deepmind/math_dataset |
b'Let q(p) be the second derivative of 1/3*p**4 + p**2 + 114 + 0*p**3 + p. Determine q(-2).\n' | b'18\n' | b'Let q(p) be the second derivative of 1/3*p**4 + p**2 + 114 + 0*p**3 + p. Determine q(-2).\n' | b'18\n' | deepmind/math_dataset |
b'Let b(p) be the third derivative of p**10/50400 - p**6/60 + 3*p**5/20 - 12*p**2. Let l(j) be the third derivative of b(j). What is the derivative of l(z) wrt z?\n' | b'12*z**3\n' | b'Let b(p) be the third derivative of p**10/50400 - p**6/60 + 3*p**5/20 - 12*p**2. Let l(j) be the third derivative of b(j). What is the derivative of l(z) wrt z?\n' | b'12*z**3\n' | deepmind/math_dataset |
b'Let u(l) = l**3 - 3*l**2 - 5*l + 6. Suppose -12 = -4*n + 4. Let b be u(n). Solve -y = 4*z + 17, 0*z + 5 = 5*y + b*z for y.\n' | b'3\n' | b'Let u(l) = l**3 - 3*l**2 - 5*l + 6. Suppose -12 = -4*n + 4. Let b be u(n). Solve -y = 4*z + 17, 0*z + 5 = 5*y + b*z for y.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 9, o: 7, a: 1, e: 1}. What is prob of picking 2 m and 2 o?\n' | b'21/85\n' | b'Four letters picked without replacement from {m: 9, o: 7, a: 1, e: 1}. What is prob of picking 2 m and 2 o?\n' | b'21/85\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from qqdccccgcqcgqccqyccc?\n' | b'11/76\n' | b'What is prob of picking 3 c when three letters picked without replacement from qqdccccgcqcgqccqyccc?\n' | b'11/76\n' | deepmind/math_dataset |
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