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 0 = 6*s - 9*s - 3*l + 6, s + 5*l - 10 = 0. Let a(y) = -y - 3. Let o(x) = 5*x + 16. Let b(t) = -11*a(t) - 2*o(t). Determine b(s).\n' | b'1\n' | b'Suppose 0 = 6*s - 9*s - 3*l + 6, s + 5*l - 10 = 0. Let a(y) = -y - 3. Let o(x) = 5*x + 16. Let b(t) = -11*a(t) - 2*o(t). Determine b(s).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence thh when three letters picked without replacement from {g: 2, h: 5, t: 2}.\n' | b'5/63\n' | b'Calculate prob of sequence thh when three letters picked without replacement from {g: 2, h: 5, t: 2}.\n' | b'5/63\n' | deepmind/math_dataset |
b'Differentiate -16*j**2 + 14*j**2 - 21*j**2 - 939 - 22*j**2 - 32*j**2 wrt j.\n' | b'-154*j\n' | b'Differentiate -16*j**2 + 14*j**2 - 21*j**2 - 939 - 22*j**2 - 32*j**2 wrt j.\n' | b'-154*j\n' | deepmind/math_dataset |
b'Find the first derivative of 422 - 654*d**4 + 94 + 106*d**4 + 253 + 1 wrt d.\n' | b'-2192*d**3\n' | b'Find the first derivative of 422 - 654*d**4 + 94 + 106*d**4 + 253 + 1 wrt d.\n' | b'-2192*d**3\n' | deepmind/math_dataset |
b'What is prob of sequence jvwz when four letters picked without replacement from zwjgwvw?\n' | b'1/280\n' | b'What is prob of sequence jvwz when four letters picked without replacement from zwjgwvw?\n' | b'1/280\n' | deepmind/math_dataset |
b'Differentiate -o**4 - 495*o**2 - 4*o**4 + 2989 + 507*o**2 with respect to o.\n' | b'-20*o**3 + 24*o\n' | b'Differentiate -o**4 - 495*o**2 - 4*o**4 + 2989 + 507*o**2 with respect to o.\n' | b'-20*o**3 + 24*o\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrrrraarauaaarujaaa. What is prob of picking 2 r?\n' | b'14/95\n' | b'Two letters picked without replacement from rrrrrraarauaaarujaaa. What is prob of picking 2 r?\n' | b'14/95\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, h: 1, w: 6, b: 1}. What is prob of picking 3 w and 1 h?\n' | b'10/63\n' | b'Four letters picked without replacement from {y: 1, h: 1, w: 6, b: 1}. What is prob of picking 3 w and 1 h?\n' | b'10/63\n' | deepmind/math_dataset |
b'Suppose -23*n - 3 = -49. Suppose -63*u - 13 = -68*u - n*f, 2*u + 4*f = 2. Solve 2*a - u*x = 0, a = -2*a - 2*x + 13 for a.\n' | b'3\n' | b'Suppose -23*n - 3 = -49. Suppose -63*u - 13 = -68*u - n*f, 2*u + 4*f = 2. Solve 2*a - u*x = 0, a = -2*a - 2*x + 13 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Let v = -131 - -161. Solve 0 = -3*k + 3*u + v, -u = 3*k + 2*u for k.\n' | b'5\n' | b'Let v = -131 - -161. Solve 0 = -3*k + 3*u + v, -u = 3*k + 2*u for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let y(p) = -p**2 + 23*p - 90. Let k be y(18). Let h(g) = -g**2 + 18. What is h(k)?\n' | b'18\n' | b'Let y(p) = -p**2 + 23*p - 90. Let k be y(18). Let h(g) = -g**2 + 18. What is h(k)?\n' | b'18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eeurhour. Give prob of picking 1 h, 1 e, and 1 r.\n' | b'1/14\n' | b'Three letters picked without replacement from eeurhour. Give prob of picking 1 h, 1 e, and 1 r.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (((((d/((d*d/(d/d**(-5/4)))/d))/d*d)/d)/d)/d*d/(d*((d**6*d*d)/d)/d*d)*d/(d/(d**(-2/11)/d*d)*d)*d/(d/(d*d**(-1/5))))**(6/17) assuming d is positive.\n' | b'd**(-5367/1870)\n' | b'Simplify (((((d/((d*d/(d/d**(-5/4)))/d))/d*d)/d)/d)/d*d/(d*((d**6*d*d)/d)/d*d)*d/(d/(d**(-2/11)/d*d)*d)*d/(d/(d*d**(-1/5))))**(6/17) assuming d is positive.\n' | b'd**(-5367/1870)\n' | deepmind/math_dataset |
b'Simplify t**(2/5)*t**5*(t*t**4)/((t**7*t)/t) assuming t is positive.\n' | b't**(17/5)\n' | b'Simplify t**(2/5)*t**5*(t*t**4)/((t**7*t)/t) assuming t is positive.\n' | b't**(17/5)\n' | deepmind/math_dataset |
b'Let w(u) = u**2 + u - 1. Let h(n) = 7*n**2 + 10*n - 11. Suppose -6*j + 9*j = 6. Let f(l) = j*h(l) - 22*w(l). Find the second derivative of f(g) wrt g.\n' | b'-16\n' | b'Let w(u) = u**2 + u - 1. Let h(n) = 7*n**2 + 10*n - 11. Suppose -6*j + 9*j = 6. Let f(l) = j*h(l) - 22*w(l). Find the second derivative of f(g) wrt g.\n' | b'-16\n' | deepmind/math_dataset |
b'Find the third derivative of -11*w**3 - 24*w**3 + 4*w**2 - 27*w**3 - 5*w wrt w.\n' | b'-372\n' | b'Find the third derivative of -11*w**3 - 24*w**3 + 4*w**2 - 27*w**3 - 5*w wrt w.\n' | b'-372\n' | deepmind/math_dataset |
b'Let t(f) be the first derivative of 393*f**4/4 + 80*f**3 + 24. Find the third derivative of t(s) wrt s.\n' | b'2358\n' | b'Let t(f) be the first derivative of 393*f**4/4 + 80*f**3 + 24. Find the third derivative of t(s) wrt s.\n' | b'2358\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dnfcwvvnc. Give prob of sequence cn.\n' | b'1/18\n' | b'Two letters picked without replacement from dnfcwvvnc. Give prob of sequence cn.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify ((n*n/(n/(n**32/n))*n)/n)/n**(-21)*(n*n*n**(6/17)*n)/((n*n**(10/3))/n) assuming n is positive.\n' | b'n**(2704/51)\n' | b'Simplify ((n*n/(n/(n**32/n))*n)/n)/n**(-21)*(n*n*n**(6/17)*n)/((n*n**(10/3))/n) assuming n is positive.\n' | b'n**(2704/51)\n' | deepmind/math_dataset |
b'Suppose -a - 2*a - 5*m = -62, 5*m = a - 34. Let w be (-3)/2*a/(-9). What is the third derivative of w + 3*b**3 - 6 + 2*b**2 + 2 wrt b?\n' | b'18\n' | b'Suppose -a - 2*a - 5*m = -62, 5*m = a - 34. Let w be (-3)/2*a/(-9). What is the third derivative of w + 3*b**3 - 6 + 2*b**2 + 2 wrt b?\n' | b'18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 15, c: 4}. What is prob of picking 1 z and 1 c?\n' | b'20/57\n' | b'Two letters picked without replacement from {z: 15, c: 4}. What is prob of picking 1 z and 1 c?\n' | b'20/57\n' | deepmind/math_dataset |
b'Let y(l) be the third derivative of l**6/120 - 11*l**5/60 - 25*l**4/24 - l**3 + 948*l**2. Calculate y(13).\n' | b'7\n' | b'Let y(l) be the third derivative of l**6/120 - 11*l**5/60 - 25*l**4/24 - l**3 + 948*l**2. Calculate y(13).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (a*a**(-2/17)*a*a**(-7))**33 assuming a is positive.\n' | b'a**(-2871/17)\n' | b'Simplify (a*a**(-2/17)*a*a**(-7))**33 assuming a is positive.\n' | b'a**(-2871/17)\n' | deepmind/math_dataset |
b'Suppose -3*y + 5*g + 2778 = -184, 0 = -4*g - 20. Let p be 178/y - (-1 - 216/22). Solve -q + 2*n - p = -2*n, 6 = 3*n for q.\n' | b'-3\n' | b'Suppose -3*y + 5*g + 2778 = -184, 0 = -4*g - 20. Let p be 178/y - (-1 - 216/22). Solve -q + 2*n - p = -2*n, 6 = 3*n for q.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the second derivative of -653*n**4 - 2*n**3 - 21 + 2*n**3 - 239*n + 13 + 450*n wrt n?\n' | b'-7836*n**2\n' | b'What is the second derivative of -653*n**4 - 2*n**3 - 21 + 2*n**3 - 239*n + 13 + 450*n wrt n?\n' | b'-7836*n**2\n' | deepmind/math_dataset |
b'Simplify ((c/(c*((c*c**(-1/19))/c)/c))/c)/(c/(c/c**6))*c**(2/23)*c*c**(-4/3) assuming c is positive.\n' | b'c**(-8120/1311)\n' | b'Simplify ((c/(c*((c*c**(-1/19))/c)/c))/c)/(c/(c/c**6))*c**(2/23)*c*c**(-4/3) assuming c is positive.\n' | b'c**(-8120/1311)\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 u when three letters picked without replacement from wqubbuqaaaouuqo?\n' | b'18/455\n' | b'What is prob of picking 1 q and 2 u when three letters picked without replacement from wqubbuqaaaouuqo?\n' | b'18/455\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {s: 5, k: 11, n: 1, e: 3}.\n' | b'3/190\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {s: 5, k: 11, n: 1, e: 3}.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let f(q) be the first derivative of q**2/2 + 11*q - 3. Let w be f(-8). What is the third derivative of -x**3 + 3*x**w + x**2 + 3*x**3 - 6*x**3 wrt x?\n' | b'-6\n' | b'Let f(q) be the first derivative of q**2/2 + 11*q - 3. Let w be f(-8). What is the third derivative of -x**3 + 3*x**w + x**2 + 3*x**3 - 6*x**3 wrt x?\n' | b'-6\n' | deepmind/math_dataset |
b'Let s(w) be the second derivative of -w**9/3780 + w**7/840 + w**4/3 + 5*w. Let q(a) be the third derivative of s(a). What is the third derivative of q(t) wrt t?\n' | b'-96*t\n' | b'Let s(w) be the second derivative of -w**9/3780 + w**7/840 + w**4/3 + 5*w. Let q(a) be the third derivative of s(a). What is the third derivative of q(t) wrt t?\n' | b'-96*t\n' | deepmind/math_dataset |
b'Simplify ((z**(-10))**(-10)*(z*z*z/(z/z**12))/((z*z*z**(-37))/z*z))**19 assuming z is positive.\n' | b'z**2831\n' | b'Simplify ((z**(-10))**(-10)*(z*z*z/(z/z**12))/((z*z*z**(-37))/z*z))**19 assuming z is positive.\n' | b'z**2831\n' | deepmind/math_dataset |
b'Suppose 0*z = -z - 2*n + 5, -3*z - 3*n = -15. Solve z*b = k + 2, 5*b - k + 2*k = 8 for b.\n' | b'1\n' | b'Suppose 0*z = -z - 2*n + 5, -3*z - 3*n = -15. Solve z*b = k + 2, 5*b - k + 2*k = 8 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5*v - 3*u = 1 - 4, 4*v - u = 16. Suppose 0 = 3*p, -3*g + 0*g = -v*p - 12. Solve -2*i - 2*n + 5 = -1, 0 = -g*i + 2*n for i.\n' | b'1\n' | b'Suppose -5*v - 3*u = 1 - 4, 4*v - u = 16. Suppose 0 = 3*p, -3*g + 0*g = -v*p - 12. Solve -2*i - 2*n + 5 = -1, 0 = -g*i + 2*n for i.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {x: 1, a: 5, d: 1, j: 12}.\n' | b'5/171\n' | b'Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {x: 1, a: 5, d: 1, j: 12}.\n' | b'5/171\n' | deepmind/math_dataset |
b'Suppose 3*r - 22 = 8. Suppose 4*w = -10*w + 70. Suppose -w*q = z + 2*z - 10, q = -z. Solve -1 = 5*g - q*y + 4, 0 = -4*g + y - r for g.\n' | b'-3\n' | b'Suppose 3*r - 22 = 8. Suppose 4*w = -10*w + 70. Suppose -w*q = z + 2*z - 10, q = -z. Solve -1 = 5*g - q*y + 4, 0 = -4*g + y - r for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, j: 3, z: 4, s: 1, l: 2, r: 6}. Give prob of sequence lls.\n' | b'1/2448\n' | b'Three letters picked without replacement from {h: 2, j: 3, z: 4, s: 1, l: 2, r: 6}. Give prob of sequence lls.\n' | b'1/2448\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rprrcpcccrpprcvmvp. What is prob of picking 1 p and 1 v?\n' | b'10/153\n' | b'Two letters picked without replacement from rprrcpcccrpprcvmvp. What is prob of picking 1 p and 1 v?\n' | b'10/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from leeeeeeelleeleeeee. Give prob of picking 1 e and 1 l.\n' | b'56/153\n' | b'Two letters picked without replacement from leeeeeeelleeleeeee. Give prob of picking 1 e and 1 l.\n' | b'56/153\n' | deepmind/math_dataset |
b'Find the third derivative of -12*s**5 + 6*s**2 - 2*s**2 + 7*s**2 - 2*s**5 wrt s.\n' | b'-840*s**2\n' | b'Find the third derivative of -12*s**5 + 6*s**2 - 2*s**2 + 7*s**2 - 2*s**5 wrt s.\n' | b'-840*s**2\n' | deepmind/math_dataset |
b'Let s(b) = b**2 + 30. Let g be s(0). Solve 2*m = -5*q - 0*m + g, -4*m = 3*q - 32 for q.\n' | b'4\n' | b'Let s(b) = b**2 + 30. Let g be s(0). Solve 2*m = -5*q - 0*m + g, -4*m = 3*q - 32 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose r + 6*r = 21. Solve r*c = j - 15, -6*c + 2*c + 5*j = 31 for c.\n' | b'-4\n' | b'Suppose r + 6*r = 21. Solve r*c = j - 15, -6*c + 2*c + 5*j = 31 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(u) = u - u - 3 + u + 27. Let z be x(-22). Solve -o = 5*h - 15, -4*h - z*o = -0*o - 12 for h.\n' | b'3\n' | b'Let x(u) = u - u - 3 + u + 27. Let z be x(-22). Solve -o = 5*h - 15, -4*h - z*o = -0*o - 12 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {f: 6, s: 1, j: 5, e: 6, q: 1}.\n' | b'5/323\n' | b'Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {f: 6, s: 1, j: 5, e: 6, q: 1}.\n' | b'5/323\n' | deepmind/math_dataset |
b'Suppose -4*x + 24 + 8 = 0. Suppose -11 = x*z - 9*z. Suppose -f + 3*t = -2, 2*f - 2 = f - t. Solve d + z = -2*k, 4*d + f*k - 1 = -27 for d.\n' | b'-5\n' | b'Suppose -4*x + 24 + 8 = 0. Suppose -11 = x*z - 9*z. Suppose -f + 3*t = -2, 2*f - 2 = f - t. Solve d + z = -2*k, 4*d + f*k - 1 = -27 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let h = 2 + -5. Let q(j) = -1. Let n(l) = -3*l + 3. Let s be (-20)/(-6)*27/15. Let k(b) = s*q(b) + n(b). Determine k(h).\n' | b'6\n' | b'Let h = 2 + -5. Let q(j) = -1. Let n(l) = -3*l + 3. Let s be (-20)/(-6)*27/15. Let k(b) = s*q(b) + n(b). Determine k(h).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((k/(k/(k*k**(1/6)*k)))/(k*k*k*k*(k/(k**5/k)*k*k)/k*k*k*k))**(-50)/((k**1)**(-9/2)/((k**5/k*k*k)/k*k*k**(-4/5))) assuming k is positive.\n' | b'k**(4541/30)\n' | b'Simplify ((k/(k/(k*k**(1/6)*k)))/(k*k*k*k*(k/(k**5/k)*k*k)/k*k*k*k))**(-50)/((k**1)**(-9/2)/((k**5/k*k*k)/k*k*k**(-4/5))) assuming k is positive.\n' | b'k**(4541/30)\n' | deepmind/math_dataset |
b'Let z(v) = 4*v + 9. Let g be z(-2). Solve 3*k - 3 = -u, 2*u + g - 7 = -3*k for k.\n' | b'0\n' | b'Let z(v) = 4*v + 9. Let g be z(-2). Solve 3*k - 3 = -u, 2*u + g - 7 = -3*k for k.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 y when two letters picked without replacement from {y: 4, h: 4, q: 2, a: 3, k: 1}?\n' | b'12/91\n' | b'What is prob of picking 1 a and 1 y when two letters picked without replacement from {y: 4, h: 4, q: 2, a: 3, k: 1}?\n' | b'12/91\n' | deepmind/math_dataset |
b'What is prob of sequence iiid when four letters picked without replacement from {d: 5, i: 7}?\n' | b'35/396\n' | b'What is prob of sequence iiid when four letters picked without replacement from {d: 5, i: 7}?\n' | b'35/396\n' | deepmind/math_dataset |
b'What is prob of sequence kdhl when four letters picked without replacement from {h: 4, d: 1, l: 1, k: 2}?\n' | b'1/210\n' | b'What is prob of sequence kdhl when four letters picked without replacement from {h: 4, d: 1, l: 1, k: 2}?\n' | b'1/210\n' | deepmind/math_dataset |
b'What is prob of sequence xvvx when four letters picked without replacement from {v: 3, x: 5}?\n' | b'1/14\n' | b'What is prob of sequence xvvx when four letters picked without replacement from {v: 3, x: 5}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let a be (-10 - -9)/(1/(-4)). Solve -15 = -3*l, a*b + l - 14 = b for b.\n' | b'3\n' | b'Let a be (-10 - -9)/(1/(-4)). Solve -15 = -3*l, a*b + l - 14 = b for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let s be 2/(3 - 0 - (-141)/(-45)). Let q = -12 - s. Suppose -q*t - 3*g = -48, -4*t + 2*g - g = -49. Solve 5*i + z - t + 36 = 0, -1 = 4*i - 5*z for i.\n' | b'-4\n' | b'Let s be 2/(3 - 0 - (-141)/(-45)). Let q = -12 - s. Suppose -q*t - 3*g = -48, -4*t + 2*g - g = -49. Solve 5*i + z - t + 36 = 0, -1 = 4*i - 5*z for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {c: 3, r: 1, v: 3}.\n' | b'3/7\n' | b'Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {c: 3, r: 1, v: 3}.\n' | b'3/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, t: 2, r: 3, y: 2, n: 2, i: 1}. Give prob of sequence rhhy.\n' | b'1/990\n' | b'Four letters picked without replacement from {h: 2, t: 2, r: 3, y: 2, n: 2, i: 1}. Give prob of sequence rhhy.\n' | b'1/990\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 2 t when three letters picked without replacement from {s: 11, t: 2, j: 2, u: 4}?\n' | b'2/969\n' | b'What is prob of picking 1 j and 2 t when three letters picked without replacement from {s: 11, t: 2, j: 2, u: 4}?\n' | b'2/969\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-2))/(m**4*m)*(m*m**(-12))/((m**(3/16)/m)/m))**(-1/21) assuming m is positive.\n' | b'm**(81/112)\n' | b'Simplify ((m*m**(-2))/(m**4*m)*(m*m**(-12))/((m**(3/16)/m)/m))**(-1/21) assuming m is positive.\n' | b'm**(81/112)\n' | deepmind/math_dataset |
b'Let o(i) = -82*i**3 + 83*i**2 + i. Let r be o(1). Solve -4*w = -r*s + 18, 12 - 20 = 2*w for s.\n' | b'1\n' | b'Let o(i) = -82*i**3 + 83*i**2 + i. Let r be o(1). Solve -4*w = -r*s + 18, 12 - 20 = 2*w for s.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 3, e: 4, d: 1, w: 3, t: 2, m: 6}. What is prob of sequence de?\n' | b'2/171\n' | b'Two letters picked without replacement from {z: 3, e: 4, d: 1, w: 3, t: 2, m: 6}. What is prob of sequence de?\n' | b'2/171\n' | deepmind/math_dataset |
b'Let a(z) be the first derivative of -808*z**3/3 + 480*z**2 - 1147. Find the second derivative of a(g) wrt g.\n' | b'-1616\n' | b'Let a(z) be the first derivative of -808*z**3/3 + 480*z**2 - 1147. Find the second derivative of a(g) wrt g.\n' | b'-1616\n' | deepmind/math_dataset |
b'Let h(j) = -j**3 + 12*j**2 - 12*j + 14. Let o be h(11). Suppose 0 = -o*q - 2*k + 4, 23*q - 20*q = 5*k + 11. Solve -3*b + g + 2 = 0, 5*b - q*b - 5*g = 10 for b.\n' | b'0\n' | b'Let h(j) = -j**3 + 12*j**2 - 12*j + 14. Let o be h(11). Suppose 0 = -o*q - 2*k + 4, 23*q - 20*q = 5*k + 11. Solve -3*b + g + 2 = 0, 5*b - q*b - 5*g = 10 for b.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence bw when two letters picked without replacement from oapobqowqaq?\n' | b'1/110\n' | b'What is prob of sequence bw when two letters picked without replacement from oapobqowqaq?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let f(u) = -3*u**2. Suppose w - 4*r + 24 = -w, -3*w + r - 16 = 0. Let b be (w/6)/(1/(-6)). Suppose 0 = 3*j - 4*c + 7 - 24, 3*c = -b*j - 19. What is f(j)?\n' | b'-3\n' | b'Let f(u) = -3*u**2. Suppose w - 4*r + 24 = -w, -3*w + r - 16 = 0. Let b be (w/6)/(1/(-6)). Suppose 0 = 3*j - 4*c + 7 - 24, 3*c = -b*j - 19. What is f(j)?\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 10, x: 4}. Give prob of sequence txt.\n' | b'15/91\n' | b'Three letters picked without replacement from {t: 10, x: 4}. Give prob of sequence txt.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let g(o) be the second derivative of o**9/1008 - o**6/360 + o**3/3 - 4*o. Let m(t) be the second derivative of g(t). What is the third derivative of m(j) wrt j?\n' | b'180*j**2\n' | b'Let g(o) be the second derivative of o**9/1008 - o**6/360 + o**3/3 - 4*o. Let m(t) be the second derivative of g(t). What is the third derivative of m(j) wrt j?\n' | b'180*j**2\n' | deepmind/math_dataset |
b'Simplify ((s/s**(-1/3))**30/(s**(4/9)*s/(s*s**(-3)*s*s)*s))**33 assuming s is positive.\n' | b's**(3718/3)\n' | b'Simplify ((s/s**(-1/3))**30/(s**(4/9)*s/(s*s**(-3)*s*s)*s))**33 assuming s is positive.\n' | b's**(3718/3)\n' | deepmind/math_dataset |
b'Simplify x**(-12)*(x*x*(x**(2/25)/x)/x)/x*(x**2)**(-30) assuming x is positive.\n' | b'x**(-1823/25)\n' | b'Simplify x**(-12)*(x*x*(x**(2/25)/x)/x)/x*(x**2)**(-30) assuming x is positive.\n' | b'x**(-1823/25)\n' | deepmind/math_dataset |
b'Suppose -38*f = -12*f + 1144. Let u = -7 + 3. Let x be f/(-33)*(-30)/u. Solve -4*s + 2*c = -0*c - x, 0 = s + 4*c - 25 for s.\n' | b'5\n' | b'Suppose -38*f = -12*f + 1144. Let u = -7 + 3. Let x be f/(-33)*(-30)/u. Solve -4*s + 2*c = -0*c - x, 0 = s + 4*c - 25 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 9, m: 11}. What is prob of sequence ymyy?\n' | b'77/1615\n' | b'Four letters picked without replacement from {y: 9, m: 11}. What is prob of sequence ymyy?\n' | b'77/1615\n' | deepmind/math_dataset |
b'Let y(f) = -3*f**4 - 17*f**2 + 45*f - 7. Let s(k) = -5*k**4 - 25*k**2 + 67*k - 10. Let m(h) = 5*s(h) - 7*y(h). What is the second derivative of m(a) wrt a?\n' | b'-48*a**2 - 12\n' | b'Let y(f) = -3*f**4 - 17*f**2 + 45*f - 7. Let s(k) = -5*k**4 - 25*k**2 + 67*k - 10. Let m(h) = 5*s(h) - 7*y(h). What is the second derivative of m(a) wrt a?\n' | b'-48*a**2 - 12\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 2 h, and 1 j when four letters picked without replacement from cahhjjjjch?\n' | b'2/35\n' | b'What is prob of picking 1 a, 2 h, and 1 j when four letters picked without replacement from cahhjjjjch?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let y = -2 + 6. Suppose -y*i - i = 70. Let o be 4/6 + i/(-6). Solve -a + o = 2*j - 0, -j = -2*a + 6 for a.\n' | b'3\n' | b'Let y = -2 + 6. Suppose -y*i - i = 70. Let o be 4/6 + i/(-6). Solve -a + o = 2*j - 0, -j = -2*a + 6 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Let r be ((-2)/(-4))/(1 + 54/(-60)). Solve -4*q - 4*n - 25 = 7, -5*n = -r*q - 10 for q.\n' | b'-5\n' | b'Let r be ((-2)/(-4))/(1 + 54/(-60)). Solve -4*q - 4*n - 25 = 7, -5*n = -r*q - 10 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u and 2 m when four letters picked without replacement from iimmu.\n' | b'0\n' | b'Calculate prob of picking 2 u and 2 m when four letters picked without replacement from iimmu.\n' | b'0\n' | deepmind/math_dataset |
b'Let p = -920 - -575. Let w = p + 208. Let i = 141 + w. Solve -2*c + 4*m = -2, i*m + 17 = 4*c - 5*c for c.\n' | b'-5\n' | b'Let p = -920 - -575. Let w = p + 208. Let i = 141 + w. Solve -2*c + 4*m = -2, i*m + 17 = 4*c - 5*c for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m = -5 + 9. Suppose 6 = -3*g, -m*o + g + 0*g = -14. Let x(d) = 4*d**2 - d - 8. Let r(j) = 7*j**2 - 2*j - 15. Let z(t) = o*r(t) - 5*x(t). What is z(0)?\n' | b'-5\n' | b'Let m = -5 + 9. Suppose 6 = -3*g, -m*o + g + 0*g = -14. Let x(d) = 4*d**2 - d - 8. Let r(j) = 7*j**2 - 2*j - 15. Let z(t) = o*r(t) - 5*x(t). What is z(0)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -615 = 66*u - 189*u. Solve -v - 13 = 4*o, -u*v = 5*o + 21 - 1 for o.\n' | b'-3\n' | b'Suppose -615 = 66*u - 189*u. Solve -v - 13 = 4*o, -u*v = 5*o + 21 - 1 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the second derivative of 3*o + 8*o - 34*o**4 + 13*o wrt o?\n' | b'-408*o**2\n' | b'What is the second derivative of 3*o + 8*o - 34*o**4 + 13*o wrt o?\n' | b'-408*o**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w and 2 a when four letters picked without replacement from {w: 2, a: 2, m: 10}.\n' | b'1/1001\n' | b'Calculate prob of picking 2 w and 2 a when four letters picked without replacement from {w: 2, a: 2, m: 10}.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Simplify (g**(1/2))**(25/3)/((g/(g*g*g*g**0))/(g**(2/3)/g)) assuming g is positive.\n' | b'g**(35/6)\n' | b'Simplify (g**(1/2))**(25/3)/((g/(g*g*g*g**0))/(g**(2/3)/g)) assuming g is positive.\n' | b'g**(35/6)\n' | deepmind/math_dataset |
b'Let k(s) = -8*s + 0*s + 21 - 6*s. Let v(p) = 0*p - 3*p + 5*p + 5*p - 10. Let j(c) = -3*k(c) - 7*v(c). Differentiate j(x) wrt x.\n' | b'-7\n' | b'Let k(s) = -8*s + 0*s + 21 - 6*s. Let v(p) = 0*p - 3*p + 5*p + 5*p - 10. Let j(c) = -3*k(c) - 7*v(c). Differentiate j(x) wrt x.\n' | b'-7\n' | deepmind/math_dataset |
b'What is the third derivative of v**3 + 43*v**2 + 16*v**4 + 10*v**6 - 16*v**4 + 65*v**2 wrt v?\n' | b'1200*v**3 + 6\n' | b'What is the third derivative of v**3 + 43*v**2 + 16*v**4 + 10*v**6 - 16*v**4 + 65*v**2 wrt v?\n' | b'1200*v**3 + 6\n' | deepmind/math_dataset |
b'Simplify ((a/a**(-12))/(a**(-1/8)/a))**(4/11) assuming a is positive.\n' | b'a**(113/22)\n' | b'Simplify ((a/a**(-12))/(a**(-1/8)/a))**(4/11) assuming a is positive.\n' | b'a**(113/22)\n' | deepmind/math_dataset |
b'Simplify q**(2/5)/q*q**(-3)*(q*(q*q**(-1))/q)/q**(1/2)*((q/q**5)/q*q**6)/(q/(q/((q**(-6)*q)/q))*q*q**(3/8)/q) assuming q is positive.\n' | b'q**(101/40)\n' | b'Simplify q**(2/5)/q*q**(-3)*(q*(q*q**(-1))/q)/q**(1/2)*((q/q**5)/q*q**6)/(q/(q/((q**(-6)*q)/q))*q*q**(3/8)/q) assuming q is positive.\n' | b'q**(101/40)\n' | deepmind/math_dataset |
b'Suppose -2*p + 0*p = -812. Suppose s - 4*d + d = p, 3*d = 4*s - 1669. What is the second derivative of 10*g**4 + 421*g**3 + 2*g - s*g**3 wrt g?\n' | b'120*g**2\n' | b'Suppose -2*p + 0*p = -812. Suppose s - 4*d + d = p, 3*d = 4*s - 1669. What is the second derivative of 10*g**4 + 421*g**3 + 2*g - s*g**3 wrt g?\n' | b'120*g**2\n' | deepmind/math_dataset |
b'Let a be (-93)/(-372)*(22 + -2). Solve -2*u + 3 = f, 4*u = -a*f - 0*u + 3 for f.\n' | b'-1\n' | b'Let a be (-93)/(-372)*(22 + -2). Solve -2*u + 3 = f, 4*u = -a*f - 0*u + 3 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wvvpmggwmwwmwwvwmv. Give prob of sequence vmmw.\n' | b'7/1530\n' | b'Four letters picked without replacement from wvvpmggwmwwmwwvwmv. Give prob of sequence vmmw.\n' | b'7/1530\n' | deepmind/math_dataset |
b'Simplify t/(t/(t/t**(-2/13)))*((t*t**(-3))/t*t)/t*t*t**(2/5)*t**(2/5)*(((t*t**6)/t)/(t**(-6)*t*t))/(t**(1/4))**4 assuming t is positive.\n' | b't**(582/65)\n' | b'Simplify t/(t/(t/t**(-2/13)))*((t*t**(-3))/t*t)/t*t*t**(2/5)*t**(2/5)*(((t*t**6)/t)/(t**(-6)*t*t))/(t**(1/4))**4 assuming t is positive.\n' | b't**(582/65)\n' | deepmind/math_dataset |
b'What is the third derivative of 2*h**4 - 37*h**4 + 29*h**2 - 104*h**4 - 6*h**4 wrt h?\n' | b'-3480*h\n' | b'What is the third derivative of 2*h**4 - 37*h**4 + 29*h**2 - 104*h**4 - 6*h**4 wrt h?\n' | b'-3480*h\n' | deepmind/math_dataset |
b'Let t = -16 + 28. Suppose 5*k + 2*x - t = 0, x + 0*x - 5 = -2*k. What is the third derivative of 2*o**5 - k - o**2 + o**5 + 2 wrt o?\n' | b'180*o**2\n' | b'Let t = -16 + 28. Suppose 5*k + 2*x - t = 0, x + 0*x - 5 = -2*k. What is the third derivative of 2*o**5 - k - o**2 + o**5 + 2 wrt o?\n' | b'180*o**2\n' | deepmind/math_dataset |
b'Let w(n) = -10 - n**3 + 3*n**2 + 6 + 3*n - n + 0*n**2. Let q be w(3). Find the third derivative of 0*b**2 + 4*b**5 - 7*b**2 + b**q wrt b.\n' | b'240*b**2\n' | b'Let w(n) = -10 - n**3 + 3*n**2 + 6 + 3*n - n + 0*n**2. Let q be w(3). Find the third derivative of 0*b**2 + 4*b**5 - 7*b**2 + b**q wrt b.\n' | b'240*b**2\n' | deepmind/math_dataset |
b'Simplify (f**(-2/5))**(-10/9)/(f/f**(2/5)*f)**(7/2)*(f**0*f/(f**(1/5)/f)*f)**15 assuming f is positive.\n' | b'f**(1658/45)\n' | b'Simplify (f**(-2/5))**(-10/9)/(f/f**(2/5)*f)**(7/2)*(f**0*f/(f**(1/5)/f)*f)**15 assuming f is positive.\n' | b'f**(1658/45)\n' | deepmind/math_dataset |
b'Suppose -u + 1 = 2*x, -u - 5 = -4*x - 0. Suppose -z = -5*o + 20, -3*o = -5*o - z + x. Let w(q) = -q**2 + q - 4. Determine w(o).\n' | b'-10\n' | b'Suppose -u + 1 = 2*x, -u - 5 = -4*x - 0. Suppose -z = -5*o + 20, -3*o = -5*o - z + x. Let w(q) = -q**2 + q - 4. Determine w(o).\n' | b'-10\n' | deepmind/math_dataset |
b'Let b(r) = -4171*r**4 + 7*r**3 - 28*r**2 + 15575. Let z(h) = -2781*h**4 + 5*h**3 - 20*h**2 + 10384. Let s(q) = 5*b(q) - 7*z(q). Differentiate s(m) wrt m.\n' | b'-5552*m**3\n' | b'Let b(r) = -4171*r**4 + 7*r**3 - 28*r**2 + 15575. Let z(h) = -2781*h**4 + 5*h**3 - 20*h**2 + 10384. Let s(q) = 5*b(q) - 7*z(q). Differentiate s(m) wrt m.\n' | b'-5552*m**3\n' | deepmind/math_dataset |
b'Let p(j) = -j + 2. Let a be (-12)/8*(-136)/12. Suppose -20*t = -a*t - 15. Determine p(t).\n' | b'-3\n' | b'Let p(j) = -j + 2. Let a be (-12)/8*(-136)/12. Suppose -20*t = -a*t - 15. Determine p(t).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from hfffxfxfb?\n' | b'1/36\n' | b'What is prob of picking 2 x when two letters picked without replacement from hfffxfxfb?\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose 25*l - 29 - 21 = 0. Solve -x = -4*c + 2*x - 14, -l*x = -c - 6 for c.\n' | b'-2\n' | b'Suppose 25*l - 29 - 21 = 0. Solve -x = -4*c + 2*x - 14, -l*x = -c - 6 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a = -127 - -127. Solve y + 15 = -a*c + 3*c, 5*y - 15 = -3*c for c.\n' | b'5\n' | b'Let a = -127 - -127. Solve y + 15 = -a*c + 3*c, 5*y - 15 = -3*c for c.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (p**6/p**(-3/4))**1*((p/(p*p**(2/3))*p)/(p*p**7))/((p*p*p/p**(-2/7))/p**(4/7)) assuming p is positive.\n' | b'p**(-305/84)\n' | b'Simplify (p**6/p**(-3/4))**1*((p/(p*p**(2/3))*p)/(p*p**7))/((p*p*p/p**(-2/7))/p**(4/7)) assuming p is positive.\n' | b'p**(-305/84)\n' | deepmind/math_dataset |
b'Let u be 0 - 3 - -1 - 33/(-3). Suppose -f - 4*c + 26 = 0, 11 = 4*c - u. Let w(l) = l - 2. What is w(f)?\n' | b'4\n' | b'Let u be 0 - 3 - -1 - 33/(-3). Suppose -f - 4*c + 26 = 0, 11 = 4*c - u. Let w(l) = l - 2. What is w(f)?\n' | b'4\n' | deepmind/math_dataset |
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