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'Suppose 2*g - 3 = 15. Let f be (18/4)/(g/(-24)). Let w = 15 + f. Solve -4*o - n = -0*n, -n = -w*o for o.\n' | b'0\n' | b'Suppose 2*g - 3 = 15. Let f be (18/4)/(g/(-24)). Let w = 15 + f. Solve -4*o - n = -0*n, -n = -w*o for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(j) = 2*j - 4. Let v(c) = 2*c**3 + 24*c**2 - 24*c - 14. Let k be v(-12). Let o = 276 - k. Calculate d(o).\n' | b'0\n' | b'Let d(j) = 2*j - 4. Let v(c) = 2*c**3 + 24*c**2 - 24*c - 14. Let k be v(-12). Let o = 276 - k. Calculate d(o).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zqzzqqqq. Give prob of sequence qq.\n' | b'5/14\n' | b'Two letters picked without replacement from zqzzqqqq. Give prob of sequence qq.\n' | b'5/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gkpgkugugpukkkkukp. Give prob of sequence kg.\n' | b'14/153\n' | b'Two letters picked without replacement from gkpgkugugpukkkkukp. Give prob of sequence kg.\n' | b'14/153\n' | deepmind/math_dataset |
b'Let r(k) = -8*k**4 + 3*k**3 - 3*k + 11. Let o(y) = 15*y**4 - 5*y**3 + 5*y - 21. Let j(d) = -6*o(d) - 10*r(d). What is the first derivative of j(w) wrt w?\n' | b'-40*w**3\n' | b'Let r(k) = -8*k**4 + 3*k**3 - 3*k + 11. Let o(y) = 15*y**4 - 5*y**3 + 5*y - 21. Let j(d) = -6*o(d) - 10*r(d). What is the first derivative of j(w) wrt w?\n' | b'-40*w**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zbuucqscssucssc. Give prob of sequence uqs.\n' | b'1/182\n' | b'Three letters picked without replacement from zbuucqscssucssc. Give prob of sequence uqs.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let y(h) be the second derivative of 7*h**5/20 + h**4/3 + h**3/2 + h**2/2 + 320*h + 1. Give y(-2).\n' | b'-45\n' | b'Let y(h) be the second derivative of 7*h**5/20 + h**4/3 + h**3/2 + h**2/2 + 320*h + 1. Give y(-2).\n' | b'-45\n' | deepmind/math_dataset |
b'Simplify ((j**6)**(-19/3))**(-43) assuming j is positive.\n' | b'j**1634\n' | b'Simplify ((j**6)**(-19/3))**(-43) assuming j is positive.\n' | b'j**1634\n' | deepmind/math_dataset |
b'Let j(d) be the second derivative of 1/12*d**4 + 0 - 3*d - 3*d**2 + 0*d**3. Calculate j(0).\n' | b'-6\n' | b'Let j(d) be the second derivative of 1/12*d**4 + 0 - 3*d - 3*d**2 + 0*d**3. Calculate j(0).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbeb when four letters picked without replacement from babweib.\n' | b'1/140\n' | b'Calculate prob of sequence bbeb when four letters picked without replacement from babweib.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let z(c) = -15*c**3 + 5*c**2 - 6*c - 5. Let p(j) = -j**3 + j**2 - j - 1. Let s(y) = -5*p(y) + z(y). What is the second derivative of s(x) wrt x?\n' | b'-60*x\n' | b'Let z(c) = -15*c**3 + 5*c**2 - 6*c - 5. Let p(j) = -j**3 + j**2 - j - 1. Let s(y) = -5*p(y) + z(y). What is the second derivative of s(x) wrt x?\n' | b'-60*x\n' | deepmind/math_dataset |
b'Let x(d) = 2*d**2 + d - 1. Let w be (-5)/(-25) + (-32)/10. Give x(w).\n' | b'14\n' | b'Let x(d) = 2*d**2 + d - 1. Let w be (-5)/(-25) + (-32)/10. Give x(w).\n' | b'14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, h: 7}. What is prob of sequence hfh?\n' | b'1/6\n' | b'Three letters picked without replacement from {f: 2, h: 7}. What is prob of sequence hfh?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 2*c - 3 = 9. Suppose 0 = -12*f + c*f + 18. Solve -3*b = -b + g - 8, f*b = 4*g - 10 for b.\n' | b'2\n' | b'Suppose 2*c - 3 = 9. Suppose 0 = -12*f + c*f + 18. Solve -3*b = -b + g - 8, f*b = 4*g - 10 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 19, j: 1}. Give prob of sequence jk.\n' | b'1/20\n' | b'Two letters picked without replacement from {k: 19, j: 1}. Give prob of sequence jk.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify ((m**(1/14)/(m*m/(m/(m**(7/5)*m))))/(m**(-2/73)*m/(m/(m/((m*m**(-1/13))/m)))))**4 assuming m is positive.\n' | b'm**(-581674/33215)\n' | b'Simplify ((m**(1/14)/(m*m/(m/(m**(7/5)*m))))/(m**(-2/73)*m/(m/(m/((m*m**(-1/13))/m)))))**4 assuming m is positive.\n' | b'm**(-581674/33215)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zayvq. What is prob of sequence azq?\n' | b'1/60\n' | b'Three letters picked without replacement from zayvq. What is prob of sequence azq?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose 0 = -6*v + 512 - 110. Let g = 72 - v. Let y = 7 - g. Solve 4*m - i = -2*i + 1, 2*m + y*i = 2 for m.\n' | b'0\n' | b'Suppose 0 = -6*v + 512 - 110. Let g = 72 - v. Let y = 7 - g. Solve 4*m - i = -2*i + 1, 2*m + y*i = 2 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((j**(-3/4)*j)/j**(2/37))/(j**(-1/5)/(j/j**4)))**(-12) assuming j is positive.\n' | b'j**(5781/185)\n' | b'Simplify (((j**(-3/4)*j)/j**(2/37))/(j**(-1/5)/(j/j**4)))**(-12) assuming j is positive.\n' | b'j**(5781/185)\n' | deepmind/math_dataset |
b'Simplify (u**5*(u*u/((((((u*u**(-1/2))/u)/u)/u)/u)/u))/u)**47*(u*u/u**0*u)**(-24)/(u**(-1/8)/u**(-1/11)) assuming u is positive.\n' | b'u**(37095/88)\n' | b'Simplify (u**5*(u*u/((((((u*u**(-1/2))/u)/u)/u)/u)/u))/u)**47*(u*u/u**0*u)**(-24)/(u**(-1/8)/u**(-1/11)) assuming u is positive.\n' | b'u**(37095/88)\n' | deepmind/math_dataset |
b'Let o = 5 - 1. Let g(l) be the second derivative of -1/6*l**o + 0*l**2 + 2*l - 1/6*l**3 + 0. Find the second derivative of g(m) wrt m.\n' | b'-4\n' | b'Let o = 5 - 1. Let g(l) be the second derivative of -1/6*l**o + 0*l**2 + 2*l - 1/6*l**3 + 0. Find the second derivative of g(m) wrt m.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 r when two letters picked without replacement from ggrgggrgrgg.\n' | b'24/55\n' | b'Calculate prob of picking 1 g and 1 r when two letters picked without replacement from ggrgggrgrgg.\n' | b'24/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yqqyyy. Give prob of picking 3 q.\n' | b'0\n' | b'Three letters picked without replacement from yqqyyy. Give prob of picking 3 q.\n' | b'0\n' | deepmind/math_dataset |
b'Let c be (3 + -3 + -1)/((-6)/186). Find the second derivative of -46*u + 4*u - c*u**4 - 12*u**4 wrt u.\n' | b'-516*u**2\n' | b'Let c be (3 + -3 + -1)/((-6)/186). Find the second derivative of -46*u + 4*u - c*u**4 - 12*u**4 wrt u.\n' | b'-516*u**2\n' | deepmind/math_dataset |
b'Suppose -6*r + 885 = 92*r + 79*r. Solve w - r*u + 2 = -6*u, 3*w = 4*u - 20 for w.\n' | b'-4\n' | b'Suppose -6*r + 885 = 92*r + 79*r. Solve w - r*u + 2 = -6*u, 3*w = 4*u - 20 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, x: 1, s: 1, n: 1, c: 1}. What is prob of sequence nw?\n' | b'1/20\n' | b'Two letters picked without replacement from {w: 1, x: 1, s: 1, n: 1, c: 1}. What is prob of sequence nw?\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmxxxmmxxmmmmmmmm. What is prob of picking 2 m?\n' | b'26/51\n' | b'Two letters picked without replacement from mmmxxxmmxxmmmmmmmm. What is prob of picking 2 m?\n' | b'26/51\n' | deepmind/math_dataset |
b'Let h(z) = -z**3 + 19*z**2 - 76*z - 19. Suppose 5*q - 2*s + 38 = 7*q, q + 4*s - 37 = 0. What is h(q)?\n' | b'7\n' | b'Let h(z) = -z**3 + 19*z**2 - 76*z - 19. Suppose 5*q - 2*s + 38 = 7*q, q + 4*s - 37 = 0. What is h(q)?\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 5*j = 10, 4*b - 11 = -3*j + 3. Solve -3*x = 5*v + 20, x - 4*v - 1 = -b for x.\n' | b'-5\n' | b'Suppose 5*j = 10, 4*b - 11 = -3*j + 3. Solve -3*x = 5*v + 20, x - 4*v - 1 = -b for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let s(o) = 4 - o - o**3 + o - o**2 + 4*o. Let u be (-58)/18 + 1*(-20)/(-90). Calculate s(u).\n' | b'10\n' | b'Let s(o) = 4 - o - o**3 + o - o**2 + 4*o. Let u be (-58)/18 + 1*(-20)/(-90). Calculate s(u).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (u**(7/6)/u)/((u/u**(-3/14))/u*u)*(u/(u**(2/5)/u))/(((((u**(-20/9)*u)/u)/u)/u)/u) assuming u is positive.\n' | b'u**(1819/315)\n' | b'Simplify (u**(7/6)/u)/((u/u**(-3/14))/u*u)*(u/(u**(2/5)/u))/(((((u**(-20/9)*u)/u)/u)/u)/u) assuming u is positive.\n' | b'u**(1819/315)\n' | deepmind/math_dataset |
b'Simplify ((z**(-2)*z)/(z/(z*z**(-6/11)*z))*(z/z**(-1/4))**(-2))/((z**(-2/5)*z)/(z*(z/(z*z/(z*(z*z/((z/z**(-2/25)*z)/z))/z)))/z))**15 assuming z is positive.\n' | b'z**(-1457/110)\n' | b'Simplify ((z**(-2)*z)/(z/(z*z**(-6/11)*z))*(z/z**(-1/4))**(-2))/((z**(-2/5)*z)/(z*(z/(z*z/(z*(z*z/((z/z**(-2/25)*z)/z))/z)))/z))**15 assuming z is positive.\n' | b'z**(-1457/110)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwwwmjmwnwww. Give prob of sequence wmmj.\n' | b'3/2860\n' | b'Four letters picked without replacement from wwwwwmjmwnwww. Give prob of sequence wmmj.\n' | b'3/2860\n' | deepmind/math_dataset |
b'Let b(s) = -s**4 + 3*s**3 + 3*s - 18. Let t(v) = v**4 - 2*v**3 - 2*v + 18. Let c(m) = 2*b(m) + 3*t(m). Differentiate c(y) wrt y.\n' | b'4*y**3\n' | b'Let b(s) = -s**4 + 3*s**3 + 3*s - 18. Let t(v) = v**4 - 2*v**3 - 2*v + 18. Let c(m) = 2*b(m) + 3*t(m). Differentiate c(y) wrt y.\n' | b'4*y**3\n' | deepmind/math_dataset |
b'Simplify (((u/u**(6/7)*u*u)/u)/u*u*((u**(-2)/u)/u*u)/u*u*u*u**0*u*u**0)/((u*(u*u*u**1/u)/u)/(u*u/((u*u**(-3/5))/u)*u))**(1/60) assuming u is positive.\n' | b'u**(89/525)\n' | b'Simplify (((u/u**(6/7)*u*u)/u)/u*u*((u**(-2)/u)/u*u)/u*u*u*u**0*u*u**0)/((u*(u*u*u**1/u)/u)/(u*u/((u*u**(-3/5))/u)*u))**(1/60) assuming u is positive.\n' | b'u**(89/525)\n' | deepmind/math_dataset |
b'Let n(c) be the second derivative of 3*c**6/10 + 11*c**5/20 - 7*c**4/12 - 28*c**3 - 102*c - 8. Find the third derivative of n(u) wrt u.\n' | b'216*u + 66\n' | b'Let n(c) be the second derivative of 3*c**6/10 + 11*c**5/20 - 7*c**4/12 - 28*c**3 - 102*c - 8. Find the third derivative of n(u) wrt u.\n' | b'216*u + 66\n' | deepmind/math_dataset |
b'Let x(k) = 5*k**2 - 4*k + 1. Let y(c) = -c. Let j(g) = x(g) - 2*y(g). Let r(i) = -i**2 - 14*i - 23. Let u be r(-12). Calculate j(u).\n' | b'4\n' | b'Let x(k) = 5*k**2 - 4*k + 1. Let y(c) = -c. Let j(g) = x(g) - 2*y(g). Let r(i) = -i**2 - 14*i - 23. Let u be r(-12). Calculate j(u).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 1, e: 1, d: 1, o: 1, u: 3}. Give prob of sequence euud.\n' | b'1/140\n' | b'Four letters picked without replacement from {l: 1, e: 1, d: 1, o: 1, u: 3}. Give prob of sequence euud.\n' | b'1/140\n' | deepmind/math_dataset |
b'Suppose 3*w = 3*f, w + f + 12 = -4*f. Let x be 1/(1/(-1)) - w. Let u be 0/(x/(-3)*-3). Solve u = 4*o - 2*o - c - 1, 0 = -o - 3*c + 4 for o.\n' | b'1\n' | b'Suppose 3*w = 3*f, w + f + 12 = -4*f. Let x be 1/(1/(-1)) - w. Let u be 0/(x/(-3)*-3). Solve u = 4*o - 2*o - c - 1, 0 = -o - 3*c + 4 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 12, d: 6}. What is prob of sequence jjjd?\n' | b'11/102\n' | b'Four letters picked without replacement from {j: 12, d: 6}. What is prob of sequence jjjd?\n' | b'11/102\n' | deepmind/math_dataset |
b'Suppose 3*q - 2*q - 2 = -5*j, 4 = 2*q - 3*j. What is the second derivative of b + 5*b**2 - 3*b**2 - 2*b**q + b**4 wrt b?\n' | b'12*b**2\n' | b'Suppose 3*q - 2*q - 2 = -5*j, 4 = 2*q - 3*j. What is the second derivative of b + 5*b**2 - 3*b**2 - 2*b**q + b**4 wrt b?\n' | b'12*b**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, t: 1, o: 2, v: 10, n: 2, l: 2}. Give prob of sequence nnv.\n' | b'5/1224\n' | b'Three letters picked without replacement from {r: 1, t: 1, o: 2, v: 10, n: 2, l: 2}. Give prob of sequence nnv.\n' | b'5/1224\n' | deepmind/math_dataset |
b'Let b(o) = -4 - 6*o + 8 + o**2 - 2*o**2 - 3*o. Suppose 80 = 5*a - 13*a. Give b(a).\n' | b'-6\n' | b'Let b(o) = -4 - 6*o + 8 + o**2 - 2*o**2 - 3*o. Suppose 80 = 5*a - 13*a. Give b(a).\n' | b'-6\n' | deepmind/math_dataset |
b'Let n(p) be the second derivative of 0*p**3 + 27*p**2 + 0 + 77/20*p**5 + 0*p**4 - 79*p. Differentiate n(v) with respect to v.\n' | b'231*v**2\n' | b'Let n(p) be the second derivative of 0*p**3 + 27*p**2 + 0 + 77/20*p**5 + 0*p**4 - 79*p. Differentiate n(v) with respect to v.\n' | b'231*v**2\n' | deepmind/math_dataset |
b'Simplify (p/p**1)/(p/p**(9/5)) assuming p is positive.\n' | b'p**(4/5)\n' | b'Simplify (p/p**1)/(p/p**(9/5)) assuming p is positive.\n' | b'p**(4/5)\n' | deepmind/math_dataset |
b'Simplify ((((n**(-1/2)/n)/n)/n)**(-3/32)/(n*n**(2/3)*n*n**(-1/5)/n*n))/(n*n**(1/3)*(n**(-2)/n)/n)**(-5) assuming n is positive.\n' | b'n**(-4951/320)\n' | b'Simplify ((((n**(-1/2)/n)/n)/n)**(-3/32)/(n*n**(2/3)*n*n**(-1/5)/n*n))/(n*n**(1/3)*(n**(-2)/n)/n)**(-5) assuming n is positive.\n' | b'n**(-4951/320)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vi when two letters picked without replacement from {p: 1, i: 1, v: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence vi when two letters picked without replacement from {p: 1, i: 1, v: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let q(s) = s**2 + 5*s + 5. Let p be (-13)/3 - 1/(3/2). What is q(p)?\n' | b'5\n' | b'Let q(s) = s**2 + 5*s + 5. Let p be (-13)/3 - 1/(3/2). What is q(p)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((z**(2/5)*z)/(z/(z/((z*z**(1/9)/z*z)/z))))/(z*z**1*z)**(30/7) assuming z is positive.\n' | b'z**(-3644/315)\n' | b'Simplify ((z**(2/5)*z)/(z/(z/((z*z**(1/9)/z*z)/z))))/(z*z**1*z)**(30/7) assuming z is positive.\n' | b'z**(-3644/315)\n' | deepmind/math_dataset |
b'Simplify (q**(2/7))**18*(q**(-3)/q)/((q*q**(-11))/q) assuming q is positive.\n' | b'q**(85/7)\n' | b'Simplify (q**(2/7))**18*(q**(-3)/q)/((q*q**(-11))/q) assuming q is positive.\n' | b'q**(85/7)\n' | deepmind/math_dataset |
b'Let v be (-3175)/175 - 2/(1 - 15). Let g = 13 + v. Let p be 2*(g - 1)*2/4. Let t(a) = a**2 + 8*a + 6. Determine t(p).\n' | b'-6\n' | b'Let v be (-3175)/175 - 2/(1 - 15). Let g = 13 + v. Let p be 2*(g - 1)*2/4. Let t(a) = a**2 + 8*a + 6. Determine t(p).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hwcdnnchczcznn. What is prob of sequence zd?\n' | b'1/91\n' | b'Two letters picked without replacement from hwcdnnchczcznn. What is prob of sequence zd?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let x = 2 - 2. Let r(f) = -f - f + 3*f + x*f. Let b be r(3). Let q(i) = i + 4. Calculate q(b).\n' | b'7\n' | b'Let x = 2 - 2. Let r(f) = -f - f + 3*f + x*f. Let b be r(3). Let q(i) = i + 4. Calculate q(b).\n' | b'7\n' | deepmind/math_dataset |
b'Let b(f) = f**2 + 6*f + 3. Suppose 0 = -15*m + 582 - 3252. Let z = m + 172. Calculate b(z).\n' | b'3\n' | b'Let b(f) = f**2 + 6*f + 3. Suppose 0 = -15*m + 582 - 3252. Let z = m + 172. Calculate b(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let p(d) = d**3 + 4*d**2 - 2*d + 5. Suppose -2*a = c + 2*c + 130, 5*a + 311 = -4*c. Let b = a - -54. What is p(b)?\n' | b'-10\n' | b'Let p(d) = d**3 + 4*d**2 - 2*d + 5. Suppose -2*a = c + 2*c + 130, 5*a + 311 = -4*c. Let b = a - -54. What is p(b)?\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, e: 1, u: 1, x: 2, z: 4, n: 3}. Give prob of sequence xn.\n' | b'1/22\n' | b'Two letters picked without replacement from {k: 1, e: 1, u: 1, x: 2, z: 4, n: 3}. Give prob of sequence xn.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let u(k) = 6*k + 4. Let d be u(-2). Let l(x) = x**2 + 9*x. Give l(d).\n' | b'-8\n' | b'Let u(k) = 6*k + 4. Let d be u(-2). Let l(x) = x**2 + 9*x. Give l(d).\n' | b'-8\n' | deepmind/math_dataset |
b'Let b be (3 - 19 - -10)*1*-2. Let y(g) be the first derivative of g**3/3 - 7*g**2 + 26*g + 13. What is y(b)?\n' | b'2\n' | b'Let b be (3 - 19 - -10)*1*-2. Let y(g) be the first derivative of g**3/3 - 7*g**2 + 26*g + 13. What is y(b)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -5*d = -7*k + 338, -80*k - 2*d = -82*k + 100. Solve -5*z - 5*i - 30 = 0, 2*z + 48*i = k*i - 14 for z.\n' | b'-5\n' | b'Suppose -5*d = -7*k + 338, -80*k - 2*d = -82*k + 100. Solve -5*z - 5*i - 30 = 0, 2*z + 48*i = k*i - 14 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (a**(3/2)*a*a*a*a/a**2)/(((((a**(-1)*a)/a)/a)/a)/(a/a**(-1/3)*a)) assuming a is positive.\n' | b'a**(53/6)\n' | b'Simplify (a**(3/2)*a*a*a*a/a**2)/(((((a**(-1)*a)/a)/a)/a)/(a/a**(-1/3)*a)) assuming a is positive.\n' | b'a**(53/6)\n' | deepmind/math_dataset |
b'What is prob of sequence sf when two letters picked without replacement from hustfupfhtshff?\n' | b'4/91\n' | b'What is prob of sequence sf when two letters picked without replacement from hustfupfhtshff?\n' | b'4/91\n' | deepmind/math_dataset |
b'Simplify (v*v**1/v)**(-12)*(v/v**1)**41 assuming v is positive.\n' | b'v**(-12)\n' | b'Simplify (v*v**1/v)**(-12)*(v/v**1)**41 assuming v is positive.\n' | b'v**(-12)\n' | deepmind/math_dataset |
b'Let t(d) = -d**3 - 1. Let b(j) = 2*j**3 + 3*j**2 + 2*j. Let w be (-36)/15 + (-4)/(-10). Let p be b(w). Let z = 7 + p. Calculate t(z).\n' | b'0\n' | b'Let t(d) = -d**3 - 1. Let b(j) = 2*j**3 + 3*j**2 + 2*j. Let w be (-36)/15 + (-4)/(-10). Let p be b(w). Let z = 7 + p. Calculate t(z).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence frnr when four letters picked without replacement from frnnrrr.\n' | b'1/35\n' | b'Calculate prob of sequence frnr when four letters picked without replacement from frnnrrr.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let c(w) = w**3 - 11*w**2 + 9*w + 6. Suppose -31 - 39 = -7*z. Calculate c(z).\n' | b'-4\n' | b'Let c(w) = w**3 - 11*w**2 + 9*w + 6. Suppose -31 - 39 = -7*z. Calculate c(z).\n' | b'-4\n' | deepmind/math_dataset |
b'Let c(v) = 143*v**2 + v + 146. Let l(o) = -o**2 + 1. Let d(r) = -c(r) - 2*l(r). Differentiate d(f) with respect to f.\n' | b'-282*f - 1\n' | b'Let c(v) = 143*v**2 + v + 146. Let l(o) = -o**2 + 1. Let d(r) = -c(r) - 2*l(r). Differentiate d(f) with respect to f.\n' | b'-282*f - 1\n' | deepmind/math_dataset |
b'Let a be -2*((-12)/(-1) - -1). Let s be 6/(-18) + a/(-6). What is the third derivative of 0*i**6 + s*i**6 + 5*i**2 - 5*i**6 - 4*i**6 wrt i?\n' | b'-600*i**3\n' | b'Let a be -2*((-12)/(-1) - -1). Let s be 6/(-18) + a/(-6). What is the third derivative of 0*i**6 + s*i**6 + 5*i**2 - 5*i**6 - 4*i**6 wrt i?\n' | b'-600*i**3\n' | deepmind/math_dataset |
b'Simplify (q**(-1/2)/q**(1/8))**3 assuming q is positive.\n' | b'q**(-15/8)\n' | b'Simplify (q**(-1/2)/q**(1/8))**3 assuming q is positive.\n' | b'q**(-15/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yjjyjjyjjj. What is prob of picking 2 j?\n' | b'7/15\n' | b'Two letters picked without replacement from yjjyjjyjjj. What is prob of picking 2 j?\n' | b'7/15\n' | deepmind/math_dataset |
b'Let c(o) = -4 - 5*o**3 + 5 + 2*o + 3*o**3. Determine c(-1).\n' | b'1\n' | b'Let c(o) = -4 - 5*o**3 + 5 + 2*o + 3*o**3. Determine c(-1).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (v**11*v**(5/7)/v)**(-33)/((v*v**(-2/9))**(-46)*(v**(-2))**(-2/7)) assuming v is positive.\n' | b'v**(-20057/63)\n' | b'Simplify (v**11*v**(5/7)/v)**(-33)/((v*v**(-2/9))**(-46)*(v**(-2))**(-2/7)) assuming v is positive.\n' | b'v**(-20057/63)\n' | deepmind/math_dataset |
b'Suppose 5*w - 6 = -w. Solve -2*a - w = 3*q, 0*a = -4*q + 3*a - 7 for q.\n' | b'-1\n' | b'Suppose 5*w - 6 = -w. Solve -2*a - w = 3*q, 0*a = -4*q + 3*a - 7 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w**(-6/11)*w)**(5/16)*(w*w*w**(-16)*w)/(w**(3/7)*w) assuming w is positive.\n' | b'w**(-17601/1232)\n' | b'Simplify (w**(-6/11)*w)**(5/16)*(w*w*w**(-16)*w)/(w**(3/7)*w) assuming w is positive.\n' | b'w**(-17601/1232)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 7, e: 3}. Give prob of picking 1 z and 2 e.\n' | b'7/40\n' | b'Three letters picked without replacement from {z: 7, e: 3}. Give prob of picking 1 z and 2 e.\n' | b'7/40\n' | deepmind/math_dataset |
b'Let b(k) = 8*k + 32. Let z(j) = -5*j - 3. Let a(o) = 3*b(o) + 6*z(o). Give a(12).\n' | b'6\n' | b'Let b(k) = 8*k + 32. Let z(j) = -5*j - 3. Let a(o) = 3*b(o) + 6*z(o). Give a(12).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0 = -16*h + 2*h + 672. Let g be 24/h - 3/(-2). Solve g*i = 2*v + 3*i, -2*v + 4*i = 0 for v.\n' | b'0\n' | b'Suppose 0 = -16*h + 2*h + 672. Let g be 24/h - 3/(-2). Solve g*i = 2*v + 3*i, -2*v + 4*i = 0 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(k) be the first derivative of k**4/4 - 3*k**3 - 5*k**2 - 7*k + 5. Calculate i(10).\n' | b'-7\n' | b'Let i(k) be the first derivative of k**4/4 - 3*k**3 - 5*k**2 - 7*k + 5. Calculate i(10).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence scs when three letters picked without replacement from {x: 1, s: 2, c: 2, e: 2, n: 1}.\n' | b'1/84\n' | b'Calculate prob of sequence scs when three letters picked without replacement from {x: 1, s: 2, c: 2, e: 2, n: 1}.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let s(z) = -z**2 + 6*z - 6. Suppose -u - 10 = -5*d + 4*u, -2*u + 8 = 4*d. Let w(p) = 2*p**3 - 3*p**2 + 2*p - 3. Let r be w(d). Determine s(r).\n' | b'-1\n' | b'Let s(z) = -z**2 + 6*z - 6. Suppose -u - 10 = -5*d + 4*u, -2*u + 8 = 4*d. Let w(p) = 2*p**3 - 3*p**2 + 2*p - 3. Let r be w(d). Determine s(r).\n' | b'-1\n' | deepmind/math_dataset |
b'Let t(i) be the first derivative of 280*i**3/3 - 40*i - 122. Differentiate t(o) with respect to o.\n' | b'560*o\n' | b'Let t(i) be the first derivative of 280*i**3/3 - 40*i - 122. Differentiate t(o) with respect to o.\n' | b'560*o\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 11, w: 1}. What is prob of sequence wbb?\n' | b'1/12\n' | b'Three letters picked without replacement from {b: 11, w: 1}. What is prob of sequence wbb?\n' | b'1/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from prrrooggp. What is prob of sequence rgg?\n' | b'1/84\n' | b'Three letters picked without replacement from prrrooggp. What is prob of sequence rgg?\n' | b'1/84\n' | deepmind/math_dataset |
b'Suppose -6 - 3 = -3*w. Let g be ((-6)/w)/2*-1. Solve -g = 2*k + l, -4 = -k + l - 3 for k.\n' | b'0\n' | b'Suppose -6 - 3 = -3*w. Let g be ((-6)/w)/2*-1. Solve -g = 2*k + l, -4 = -k + l - 3 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iyvwyyxyvvywrxxvyw. Give prob of sequence vxww.\n' | b'1/1020\n' | b'Four letters picked without replacement from iyvwyyxyvvywrxxvyw. Give prob of sequence vxww.\n' | b'1/1020\n' | deepmind/math_dataset |
b'Simplify (m/(m**1/m))**(-15/7)*(m/m**(-1/3))**33 assuming m is positive.\n' | b'm**(293/7)\n' | b'Simplify (m/(m**1/m))**(-15/7)*(m/m**(-1/3))**33 assuming m is positive.\n' | b'm**(293/7)\n' | deepmind/math_dataset |
b'Simplify ((f**(1/4)/(f*f**(-13/3)))/((f*f**(-7/5)/f)/(f**(2/7)*f)))**28 assuming f is positive.\n' | b'f**(2633/15)\n' | b'Simplify ((f**(1/4)/(f*f**(-13/3)))/((f*f**(-7/5)/f)/(f**(2/7)*f)))**28 assuming f is positive.\n' | b'f**(2633/15)\n' | deepmind/math_dataset |
b'Simplify (((m**(1/17)*m)/m)/m**27)/(m/(m/(((m/(m/m**(-33))*m*m)/m)/m))*m**(5/2)) assuming m is positive.\n' | b'm**(121/34)\n' | b'Simplify (((m**(1/17)*m)/m)/m**27)/(m/(m/(((m/(m/m**(-33))*m*m)/m)/m))*m**(5/2)) assuming m is positive.\n' | b'm**(121/34)\n' | deepmind/math_dataset |
b'Simplify ((t/(t/(t*t/t**0)))**(-1/87))**0*(t**(-2/7)/t**(2/3))/((t**(-4/7)/t)/((t/(t*t**(-2/17)*t))/t)) assuming t is positive.\n' | b't**(-451/357)\n' | b'Simplify ((t/(t/(t*t/t**0)))**(-1/87))**0*(t**(-2/7)/t**(2/3))/((t**(-4/7)/t)/((t/(t*t**(-2/17)*t))/t)) assuming t is positive.\n' | b't**(-451/357)\n' | deepmind/math_dataset |
b'Simplify (j**1)**1*j**6*j**13 assuming j is positive.\n' | b'j**20\n' | b'Simplify (j**1)**1*j**6*j**13 assuming j is positive.\n' | b'j**20\n' | deepmind/math_dataset |
b'Let k = 69 - 65. Solve -20 = -k*a + 2*h + 2*h, 0 = -h - 3 for a.\n' | b'2\n' | b'Let k = 69 - 65. Solve -20 = -k*a + 2*h + 2*h, 0 = -h - 3 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (d**(8/5)*d**(1/5))/((d**(-3/10)*d)/d*d**(-1/2)) assuming d is positive.\n' | b'd**(13/5)\n' | b'Simplify (d**(8/5)*d**(1/5))/((d**(-3/10)*d)/d*d**(-1/2)) assuming d is positive.\n' | b'd**(13/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuyyyuyyyy. What is prob of sequence yuy?\n' | b'7/40\n' | b'Three letters picked without replacement from uuyyyuyyyy. What is prob of sequence yuy?\n' | b'7/40\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 9, i: 5, r: 2}. Give prob of sequence uui.\n' | b'3/28\n' | b'Three letters picked without replacement from {u: 9, i: 5, r: 2}. Give prob of sequence uui.\n' | b'3/28\n' | deepmind/math_dataset |
b'Let j(w) = w - 56 - 4*w + w + 60. Determine j(8).\n' | b'-12\n' | b'Let j(w) = w - 56 - 4*w + w + 60. Determine j(8).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (((u/u**(19/4))/(u/u**(-14)))**(-8/5))**(-7/3) assuming u is positive.\n' | b'u**(-70)\n' | b'Simplify (((u/u**(19/4))/(u/u**(-14)))**(-8/5))**(-7/3) assuming u is positive.\n' | b'u**(-70)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fftfffftff. What is prob of picking 1 f and 1 t?\n' | b'16/45\n' | b'Two letters picked without replacement from fftfffftff. What is prob of picking 1 f and 1 t?\n' | b'16/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, k: 4, o: 4, u: 7, e: 2, t: 2}. What is prob of sequence kl?\n' | b'1/95\n' | b'Two letters picked without replacement from {l: 1, k: 4, o: 4, u: 7, e: 2, t: 2}. What is prob of sequence kl?\n' | b'1/95\n' | deepmind/math_dataset |
b'What is prob of sequence ty when two letters picked without replacement from {t: 10, y: 9}?\n' | b'5/19\n' | b'What is prob of sequence ty when two letters picked without replacement from {t: 10, y: 9}?\n' | b'5/19\n' | deepmind/math_dataset |
b'What is prob of picking 3 b when three letters picked without replacement from {w: 3, b: 7}?\n' | b'7/24\n' | b'What is prob of picking 3 b when three letters picked without replacement from {w: 3, b: 7}?\n' | b'7/24\n' | deepmind/math_dataset |
b'Simplify (p/((p*p*p**18*p)/p))/(p**(-1/6)*p) assuming p is positive.\n' | b'p**(-119/6)\n' | b'Simplify (p/((p*p*p**18*p)/p))/(p**(-1/6)*p) assuming p is positive.\n' | b'p**(-119/6)\n' | deepmind/math_dataset |
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