question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify ((p**(-1/3))**(-13/4)/((p*p**(-4)/p)/(p**(-2)*p)))/((p*p**4*p)/p**(-2/5))**(6/11) assuming p is positive.\n' | b'p**(391/660)\n' | b'Simplify ((p**(-1/3))**(-13/4)/((p*p**(-4)/p)/(p**(-2)*p)))/((p*p**4*p)/p**(-2/5))**(6/11) assuming p is positive.\n' | b'p**(391/660)\n' | deepmind/math_dataset |
b'Let p(q) = -372*q - 367*q - 368*q + q**3 + 1115*q + 2 - 8*q**2. What is p(7)?\n' | b'9\n' | b'Let p(q) = -372*q - 367*q - 368*q + q**3 + 1115*q + 2 - 8*q**2. What is p(7)?\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 v when three letters picked without replacement from vvvivvvv.\n' | b'5/8\n' | b'Calculate prob of picking 3 v when three letters picked without replacement from vvvivvvv.\n' | b'5/8\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 h when two letters picked without replacement from khwwwwhkhwwkwwwkwwww?\n' | b'6/95\n' | b'What is prob of picking 1 k and 1 h when two letters picked without replacement from khwwwwhkhwwkwwwkwwww?\n' | b'6/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, a: 2}. Give prob of picking 2 a.\n' | b'1/10\n' | b'Two letters picked without replacement from {o: 3, a: 2}. Give prob of picking 2 a.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let b = 3 - 3. Suppose b = 3*l - 4*g - 5, 4*g + 1 - 5 = 0. Find the second derivative of 4*j - 4*j - 2*j - l*j**2 + 4*j wrt j.\n' | b'-6\n' | b'Let b = 3 - 3. Suppose b = 3*l - 4*g - 5, 4*g + 1 - 5 = 0. Find the second derivative of 4*j - 4*j - 2*j - l*j**2 + 4*j wrt j.\n' | b'-6\n' | deepmind/math_dataset |
b'Find the second derivative of 55*c + 184*c**2 - 7*c**2 - 28*c**2 wrt c.\n' | b'298\n' | b'Find the second derivative of 55*c + 184*c**2 - 7*c**2 - 28*c**2 wrt c.\n' | b'298\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 w, and 1 i when three letters picked without replacement from {w: 2, c: 3, z: 2, i: 1, d: 3, m: 1}.\n' | b'3/110\n' | b'Calculate prob of picking 1 c, 1 w, and 1 i when three letters picked without replacement from {w: 2, c: 3, z: 2, i: 1, d: 3, m: 1}.\n' | b'3/110\n' | deepmind/math_dataset |
b'Let z be ((-1 - -2) + -2)/(32/(-192)). Let y(v) = -z + v + 5 - 13 + 5. Give y(7).\n' | b'-2\n' | b'Let z be ((-1 - -2) + -2)/(32/(-192)). Let y(v) = -z + v + 5 - 13 + 5. Give y(7).\n' | b'-2\n' | deepmind/math_dataset |
b'Let t = 24 + -8. Let c be 44/t - (-2)/8. Let f(q) = 10*q**3 + q**2 + q - 1. Let p be f(1). Solve -c*d + 10 = -2*u, -3*u = 3*d - d - p for d.\n' | b'4\n' | b'Let t = 24 + -8. Let c be 44/t - (-2)/8. Let f(q) = 10*q**3 + q**2 + q - 1. Let p be f(1). Solve -c*d + 10 = -2*u, -3*u = 3*d - d - p for d.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m and 1 w when three letters picked without replacement from mumerrmrmuwummw.\n' | b'6/91\n' | b'Calculate prob of picking 2 m and 1 w when three letters picked without replacement from mumerrmrmuwummw.\n' | b'6/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 3, s: 3, c: 1}. What is prob of picking 2 f?\n' | b'1/7\n' | b'Two letters picked without replacement from {f: 3, s: 3, c: 1}. What is prob of picking 2 f?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the derivative of 3164 + 35*h**3 + 62*h**3 - 22*h**3 + 1010*h**3 wrt h?\n' | b'3255*h**2\n' | b'What is the derivative of 3164 + 35*h**3 + 62*h**3 - 22*h**3 + 1010*h**3 wrt h?\n' | b'3255*h**2\n' | deepmind/math_dataset |
b'Simplify (z**7/(((z*z**12)/z)/z))/(z*z/(z*z*(z*z**(2/23)/z*z)/z)*z**(2/9)*z) assuming z is positive.\n' | b'z**(-1063/207)\n' | b'Simplify (z**7/(((z*z**12)/z)/z))/(z*z/(z*z*(z*z**(2/23)/z*z)/z)*z**(2/9)*z) assuming z is positive.\n' | b'z**(-1063/207)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ggggghghmggmmgggmh. Give prob of sequence mggg.\n' | b'11/204\n' | b'Four letters picked without replacement from ggggghghmggmmgggmh. Give prob of sequence mggg.\n' | b'11/204\n' | deepmind/math_dataset |
b'Simplify (b**(9/4)*b**(-14/5)*((b/(b/(b/((b*b**(-1/15))/b)*b)*b))/b)/((b*b**(-7/5))/b))**(2/29) assuming b is positive.\n' | b'b**(11/174)\n' | b'Simplify (b**(9/4)*b**(-14/5)*((b/(b/(b/((b*b**(-1/15))/b)*b)*b))/b)/((b*b**(-7/5))/b))**(2/29) assuming b is positive.\n' | b'b**(11/174)\n' | deepmind/math_dataset |
b'Let z(o) be the third derivative of -667*o**4/24 + 104*o**3/3 + 3*o**2 - 3. Differentiate z(c) with respect to c.\n' | b'-667\n' | b'Let z(o) be the third derivative of -667*o**4/24 + 104*o**3/3 + 3*o**2 - 3. Differentiate z(c) with respect to c.\n' | b'-667\n' | deepmind/math_dataset |
b'Let o be (40/160)/((-2)/(-16)). Solve 0 = v + o*m - 6 - 6, 0 = -5*v - m + 24 for v.\n' | b'4\n' | b'Let o be (40/160)/((-2)/(-16)). Solve 0 = v + o*m - 6 - 6, 0 = -5*v - m + 24 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let c(h) = h**2 - 14*h - 68. Let d be c(-4). Solve -5*o = -i - 4*o, 10 = i + d*o for i.\n' | b'2\n' | b'Let c(h) = h**2 - 14*h - 68. Let d be c(-4). Solve -5*o = -i - 4*o, 10 = i + d*o for i.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = y + 22*n - 25*n + 6, 5*y = -4*n + 65. Solve y*u - 9 = 4*b + 12*u, 2 = -b - u for b.\n' | b'-3\n' | b'Suppose 0 = y + 22*n - 25*n + 6, 5*y = -4*n + 65. Solve y*u - 9 = 4*b + 12*u, 2 = -b - u for b.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 j when two letters picked without replacement from {d: 6, j: 3, y: 2, e: 4, a: 2, x: 1}?\n' | b'2/51\n' | b'What is prob of picking 1 a and 1 j when two letters picked without replacement from {d: 6, j: 3, y: 2, e: 4, a: 2, x: 1}?\n' | b'2/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhdhqqqqqhdq. What is prob of picking 1 q and 2 d?\n' | b'3/110\n' | b'Three letters picked without replacement from hhdhqqqqqhdq. What is prob of picking 1 q and 2 d?\n' | b'3/110\n' | deepmind/math_dataset |
b'Simplify (((((n*n**21)/n)/n)/n)/(n*n**(-3/4)))/(n**(-10/9)/(n*n**(2/5))) assuming n is positive.\n' | b'n**(3827/180)\n' | b'Simplify (((((n*n**21)/n)/n)/n)/(n*n**(-3/4)))/(n**(-10/9)/(n*n**(2/5))) assuming n is positive.\n' | b'n**(3827/180)\n' | deepmind/math_dataset |
b'Let v(i) = -i**3 - 3*i**2 - 2*i - 1. Let x be 2/(-8) - 102/(-24). Let s be 18/x*28/6. Let d be (-6)/s + 12/(-7). Calculate v(d).\n' | b'-1\n' | b'Let v(i) = -i**3 - 3*i**2 - 2*i - 1. Let x be 2/(-8) - 102/(-24). Let s be 18/x*28/6. Let d be (-6)/s + 12/(-7). Calculate v(d).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w/w**(1/3))/w**3*w**(-2/11)/w**(3/5) assuming w is positive.\n' | b'w**(-514/165)\n' | b'Simplify (w/w**(1/3))/w**3*w**(-2/11)/w**(3/5) assuming w is positive.\n' | b'w**(-514/165)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, o: 2}. What is prob of sequence ooh?\n' | b'1/3\n' | b'Three letters picked without replacement from {h: 1, o: 2}. What is prob of sequence ooh?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let j = -5258 + 5260. Let p = 7 - 5. Solve -2*y - 6 = 0, j*h + p = 3*y + 1 for h.\n' | b'-5\n' | b'Let j = -5258 + 5260. Let p = 7 - 5. Solve -2*y - 6 = 0, j*h + p = 3*y + 1 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -8*a + 4*a = 4*h - 60, -2*a + 2*h = -14. What is the derivative of -50*n**3 - 23 + a - 4 - 11 wrt n?\n' | b'-150*n**2\n' | b'Suppose -8*a + 4*a = 4*h - 60, -2*a + 2*h = -14. What is the derivative of -50*n**3 - 23 + a - 4 - 11 wrt n?\n' | b'-150*n**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from teieeiieieiti?\n' | b'5/39\n' | b'What is prob of picking 2 e when two letters picked without replacement from teieeiieieiti?\n' | b'5/39\n' | deepmind/math_dataset |
b'Let f be 2 - (-3 - -5 - 0). Let h(k) = 2 + 3 + f*k + k. Suppose -3*x = -4*x. Calculate h(x).\n' | b'5\n' | b'Let f be 2 - (-3 - -5 - 0). Let h(k) = 2 + 3 + f*k + k. Suppose -3*x = -4*x. Calculate h(x).\n' | b'5\n' | deepmind/math_dataset |
b'Let g(r) = 7*r**2 + 8*r + 17. Let y(h) = 26*h**2 + 31*h + 70. Let f(w) = 11*g(w) - 3*y(w). Give f(-8).\n' | b'-47\n' | b'Let g(r) = 7*r**2 + 8*r + 17. Let y(h) = 26*h**2 + 31*h + 70. Let f(w) = 11*g(w) - 3*y(w). Give f(-8).\n' | b'-47\n' | deepmind/math_dataset |
b'Simplify (b/(b*b*b/b**(-1/8))*b**(-2/55)*(b*((b/(b**(-1)*b))/b)/b)**(10/7))**(1/2) assuming b is positive.\n' | b'b**(-951/880)\n' | b'Simplify (b/(b*b*b/b**(-1/8))*b**(-2/55)*(b*((b/(b**(-1)*b))/b)/b)**(10/7))**(1/2) assuming b is positive.\n' | b'b**(-951/880)\n' | deepmind/math_dataset |
b'Let m(h) = -3*h + 5. Let p = -7 + 0. Let v be m(p). Solve 5*b + 2*z - v = 0, -3 = -3*b + z + 6 for b.\n' | b'4\n' | b'Let m(h) = -3*h + 5. Let p = -7 + 0. Let v be m(p). Solve 5*b + 2*z - v = 0, -3 = -3*b + z + 6 for b.\n' | b'4\n' | deepmind/math_dataset |
b'Let d be (1*(-4 + 3) + 14)/1. Find the second derivative of -2*l**4 - 5*l**5 - 2*l - d*l**5 + 2*l**4 wrt l.\n' | b'-360*l**3\n' | b'Let d be (1*(-4 + 3) + 14)/1. Find the second derivative of -2*l**4 - 5*l**5 - 2*l - d*l**5 + 2*l**4 wrt l.\n' | b'-360*l**3\n' | deepmind/math_dataset |
b'Let u(z) = -z - 4. Let d(m) = 2*m + 9. Let x(t) = 2*d(t) + 5*u(t). Let w be 2 - 1/(2/(-4)). Suppose 4*a = -r + w, 0 = 3*a - a - 4*r - 20. Determine x(a).\n' | b'-4\n' | b'Let u(z) = -z - 4. Let d(m) = 2*m + 9. Let x(t) = 2*d(t) + 5*u(t). Let w be 2 - 1/(2/(-4)). Suppose 4*a = -r + w, 0 = 3*a - a - 4*r - 20. Determine x(a).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oooorrooooooo. Give prob of sequence oo.\n' | b'55/78\n' | b'Two letters picked without replacement from oooorrooooooo. Give prob of sequence oo.\n' | b'55/78\n' | deepmind/math_dataset |
b'Suppose 94*a + 210 = -512 + 3918. Solve -4*v + 36*c = a*c + 12, 3*c = 3*v + 3 for v.\n' | b'-5\n' | b'Suppose 94*a + 210 = -512 + 3918. Solve -4*v + 36*c = a*c + 12, 3*c = 3*v + 3 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, t: 2, v: 1, c: 1, x: 2, q: 3}. What is prob of picking 3 b?\n' | b'1/220\n' | b'Three letters picked without replacement from {b: 3, t: 2, v: 1, c: 1, x: 2, q: 3}. What is prob of picking 3 b?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let g(t) = 2*t. Let f(z) = 21*z. Let b(h) = -5*f(h) + 49*g(h). Let c(i) = i + 1. Let o(k) = b(k) + 6*c(k). Determine o(6).\n' | b'0\n' | b'Let g(t) = 2*t. Let f(z) = 21*z. Let b(h) = -5*f(h) + 49*g(h). Let c(i) = i + 1. Let o(k) = b(k) + 6*c(k). Determine o(6).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 3*z + 6, -5*z - 18 = -5*d + d. What is the third derivative of -6*y**5 + 3 - 3 - 462*y**d + 446*y**2 wrt y?\n' | b'-360*y**2\n' | b'Suppose 0 = 3*z + 6, -5*z - 18 = -5*d + d. What is the third derivative of -6*y**5 + 3 - 3 - 462*y**d + 446*y**2 wrt y?\n' | b'-360*y**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, a: 1, z: 3, c: 6}. What is prob of picking 1 a and 1 c?\n' | b'1/11\n' | b'Two letters picked without replacement from {e: 2, a: 1, z: 3, c: 6}. What is prob of picking 1 a and 1 c?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let s(d) = -d - 1. Let f(x) = x**2 - x + 7. Let w(v) = v - 7. Let l(i) = -3*f(i) - 4*w(i). Let a(k) = -l(k) + s(k). Differentiate a(r) with respect to r.\n' | b'6*r\n' | b'Let s(d) = -d - 1. Let f(x) = x**2 - x + 7. Let w(v) = v - 7. Let l(i) = -3*f(i) - 4*w(i). Let a(k) = -l(k) + s(k). Differentiate a(r) with respect to r.\n' | b'6*r\n' | deepmind/math_dataset |
b'Simplify ((d*d/d**(-2/5)*d)**(1/8)*d**1/(d*d**(-7)*d))**(-22) assuming d is positive.\n' | b'd**(-2827/20)\n' | b'Simplify ((d*d/d**(-2/5)*d)**(1/8)*d**1/(d*d**(-7)*d))**(-22) assuming d is positive.\n' | b'd**(-2827/20)\n' | deepmind/math_dataset |
b'Let p(c) be the second derivative of c**5/20 - 5*c**4/12 + 5*c**3/6 + c**2/2 + 2*c. Let a(z) = z - 25. Let q be a(7). Let w = q - -22. Give p(w).\n' | b'5\n' | b'Let p(c) be the second derivative of c**5/20 - 5*c**4/12 + 5*c**3/6 + c**2/2 + 2*c. Let a(z) = z - 25. Let q be a(7). Let w = q - -22. Give p(w).\n' | b'5\n' | deepmind/math_dataset |
b'Let w(x) = 3*x - 7. Let q be w(5). Let a = -5 + q. Let z(f) = f**2 + 4*f + 6. Let y be z(-3). Solve 4*n - y*u + 11 = a, -5*u = -2*n - 4 for n.\n' | b'-2\n' | b'Let w(x) = 3*x - 7. Let q be w(5). Let a = -5 + q. Let z(f) = f**2 + 4*f + 6. Let y be z(-3). Solve 4*n - y*u + 11 = a, -5*u = -2*n - 4 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z be (9 + -1)/(16/4). Let l(m) = 11*m - 29. What is l(z)?\n' | b'-7\n' | b'Let z be (9 + -1)/(16/4). Let l(m) = 11*m - 29. What is l(z)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (s**(-6/13)*s)/(s*(s**(-1/4)*s*s)/s) assuming s is positive.\n' | b's**(-63/52)\n' | b'Simplify (s**(-6/13)*s)/(s*(s**(-1/4)*s*s)/s) assuming s is positive.\n' | b's**(-63/52)\n' | deepmind/math_dataset |
b'Let d(f) = 154*f**4 + 5*f**2 - 8*f + 4. Let p(g) = -155*g**4 - 3*g**2 + 7*g - 3. Let r(m) = -3*d(m) - 4*p(m). Find the third derivative of r(t) wrt t.\n' | b'3792*t\n' | b'Let d(f) = 154*f**4 + 5*f**2 - 8*f + 4. Let p(g) = -155*g**4 - 3*g**2 + 7*g - 3. Let r(m) = -3*d(m) - 4*p(m). Find the third derivative of r(t) wrt t.\n' | b'3792*t\n' | deepmind/math_dataset |
b'Let z(d) be the second derivative of d**5/20 + d**4/24 - d**2 + 2*d. Let r(k) be the first derivative of z(k). Let i = 6325 - 6326. Determine r(i).\n' | b'2\n' | b'Let z(d) be the second derivative of d**5/20 + d**4/24 - d**2 + 2*d. Let r(k) be the first derivative of z(k). Let i = 6325 - 6326. Determine r(i).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (a**6)**(-28) assuming a is positive.\n' | b'a**(-168)\n' | b'Simplify (a**6)**(-28) assuming a is positive.\n' | b'a**(-168)\n' | deepmind/math_dataset |
b'Simplify (((y*y**(1/4))/y*y)**(-3))**(-9)*(y*(y/(y/y**(1/3)))/y*y**(-1))/((y/(y*y*y**(-2/23))*y)/y**(3/2)) assuming y is positive.\n' | b'y**(9521/276)\n' | b'Simplify (((y*y**(1/4))/y*y)**(-3))**(-9)*(y*(y/(y/y**(1/3)))/y*y**(-1))/((y/(y*y*y**(-2/23))*y)/y**(3/2)) assuming y is positive.\n' | b'y**(9521/276)\n' | deepmind/math_dataset |
b'Let y be (-95)/(-2) + 1/(-2). Let b = y + -34. Suppose 0*u + 2 = 2*p - u, -3*u = p + 6. Solve 5*q + 17 = 3*x, b = 3*q - p*x + 4*x for q.\n' | b'-1\n' | b'Let y be (-95)/(-2) + 1/(-2). Let b = y + -34. Suppose 0*u + 2 = 2*p - u, -3*u = p + 6. Solve 5*q + 17 = 3*x, b = 3*q - p*x + 4*x for q.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from cvfbuvqufvvcuquuv?\n' | b'5/68\n' | b'What is prob of picking 2 u when two letters picked without replacement from cvfbuvqufvvcuquuv?\n' | b'5/68\n' | deepmind/math_dataset |
b'Calculate prob of sequence eq when two letters picked without replacement from iaqiaiieicaiiiacaaa.\n' | b'1/342\n' | b'Calculate prob of sequence eq when two letters picked without replacement from iaqiaiieicaiiiacaaa.\n' | b'1/342\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 y when three letters picked without replacement from dyoy?\n' | b'1/4\n' | b'What is prob of picking 1 o and 2 y when three letters picked without replacement from dyoy?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let s = 455 + -439. Let p be (-14)/(1 + 0) - -2. Let t = p + s. Solve 3*y = t*z + 23, -z - 5 = -3*y + 12 for y.\n' | b'5\n' | b'Let s = 455 + -439. Let p be (-14)/(1 + 0) - -2. Let t = p + s. Solve 3*y = t*z + 23, -z - 5 = -3*y + 12 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let r = 22 + -22. Solve u + 2 = -0*u, r = -4*g + 5*u + 22 for g.\n' | b'3\n' | b'Let r = 22 + -22. Solve u + 2 = -0*u, r = -4*g + 5*u + 22 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddrddvrrrrhrddd. What is prob of sequence rvh?\n' | b'1/455\n' | b'Three letters picked without replacement from ddrddvrrrrhrddd. What is prob of sequence rvh?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let i(w) = -22 - 13 - 4*w - 5*w - 19 + 48. What is i(-6)?\n' | b'48\n' | b'Let i(w) = -22 - 13 - 4*w - 5*w - 19 + 48. What is i(-6)?\n' | b'48\n' | deepmind/math_dataset |
b'Calculate prob of sequence cmcn when four letters picked without replacement from {v: 1, s: 3, m: 1, d: 1, c: 2, n: 3}.\n' | b'1/1320\n' | b'Calculate prob of sequence cmcn when four letters picked without replacement from {v: 1, s: 3, m: 1, d: 1, c: 2, n: 3}.\n' | b'1/1320\n' | deepmind/math_dataset |
b'Simplify (z**(-1))**(-48)/((z/(z*z**(-2/19)))/z*z**5*z)*(z**(2/7))**(-22)*(z*z**4)/(z*z*z*z**(3/2)) assuming z is positive.\n' | b'z**(9871/266)\n' | b'Simplify (z**(-1))**(-48)/((z/(z*z**(-2/19)))/z*z**5*z)*(z**(2/7))**(-22)*(z*z**4)/(z*z*z*z**(3/2)) assuming z is positive.\n' | b'z**(9871/266)\n' | deepmind/math_dataset |
b'Suppose -2*k = 2*w + 2, 2*w + w - 5*k - 21 = 0. Find the third derivative of -6*o**2 - 3*o**3 + 1 - 1 + 0*o**w wrt o.\n' | b'-18\n' | b'Suppose -2*k = 2*w + 2, 2*w + w - 5*k - 21 = 0. Find the third derivative of -6*o**2 - 3*o**3 + 1 - 1 + 0*o**w wrt o.\n' | b'-18\n' | deepmind/math_dataset |
b'Simplify (h**(2/27)*h)/((h**(-28)/h)/h) assuming h is positive.\n' | b'h**(839/27)\n' | b'Simplify (h**(2/27)*h)/((h**(-28)/h)/h) assuming h is positive.\n' | b'h**(839/27)\n' | deepmind/math_dataset |
b'Let i(k) = k - 8. Let b be i(2). Let d(a) = -9*a - 60. Let n be d(b). Let u(c) = -c**3 - 6*c**2 + 4*c + 9. Calculate u(n).\n' | b'-15\n' | b'Let i(k) = k - 8. Let b be i(2). Let d(a) = -9*a - 60. Let n be d(b). Let u(c) = -c**3 - 6*c**2 + 4*c + 9. Calculate u(n).\n' | b'-15\n' | deepmind/math_dataset |
b'Let f(x) be the third derivative of -10*x - 1/6*x**4 + 1/6*x**3 - 10*x**2 + 0 + 1/60*x**5. Calculate f(2).\n' | b'-3\n' | b'Let f(x) be the third derivative of -10*x - 1/6*x**4 + 1/6*x**3 - 10*x**2 + 0 + 1/60*x**5. Calculate f(2).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((n*(n/(n*n/(n/(n/(n*n*(n/(n/(n/(((n/n**13)/n)/n))))/n*n*n)))))/n)/(n*n**5))**(-8/3)*((n*(n**(1/5)/n)/n)/(n**(-1/11)/n))**(-50) assuming n is positive.\n' | b'n**(-1448/33)\n' | b'Simplify ((n*(n/(n*n/(n/(n/(n*n*(n/(n/(n/(((n/n**13)/n)/n))))/n*n*n)))))/n)/(n*n**5))**(-8/3)*((n*(n**(1/5)/n)/n)/(n**(-1/11)/n))**(-50) assuming n is positive.\n' | b'n**(-1448/33)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, z: 6}. What is prob of sequence dz?\n' | b'3/14\n' | b'Two letters picked without replacement from {d: 2, z: 6}. What is prob of sequence dz?\n' | b'3/14\n' | deepmind/math_dataset |
b'Let y = 38 - 26. Let z = -7 + y. Let c = 1 - -1. Solve c*a = -z*w - 33, 21 = -4*a - 3*w - 10 for a.\n' | b'-4\n' | b'Let y = 38 - 26. Let z = -7 + y. Let c = 1 - -1. Solve c*a = -z*w - 33, 21 = -4*a - 3*w - 10 for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g be 2/3 + (-4)/(-3). Suppose 0*j + 10 = g*j. Solve 2*q + 3*q = -j*k, 4*q - 25 = k for k.\n' | b'-5\n' | b'Let g be 2/3 + (-4)/(-3). Suppose 0*j + 10 = g*j. Solve 2*q + 3*q = -j*k, 4*q - 25 = k for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l be (-16)/6*6/(-4). Let k be 73/3 - 2/6. Suppose 28*z - 32 = k*z. Solve -4*m = -4*v + z, 2*m + m = -2*v + l for v.\n' | b'2\n' | b'Let l be (-16)/6*6/(-4). Let k be 73/3 - 2/6. Suppose 28*z - 32 = k*z. Solve -4*m = -4*v + z, 2*m + m = -2*v + l for v.\n' | b'2\n' | deepmind/math_dataset |
b'Let o be ((-108)/5)/(-4) + (-28)/70. Suppose 3*k + o = -l + 13, 5*l - 8 = k. Solve 0 = 5*n + 2*u + 11, 2*n - 2*u = 4*n + l for n.\n' | b'-3\n' | b'Let o be ((-108)/5)/(-4) + (-28)/70. Suppose 3*k + o = -l + 13, 5*l - 8 = k. Solve 0 = 5*n + 2*u + 11, 2*n - 2*u = 4*n + l for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(f) = 8664*f**3 + 3294*f**2 + 8*f. Let k(d) = -8665*d**3 - 3281*d**2 - 10*d. Let n(s) = -4*k(s) - 5*p(s). What is the third derivative of n(t) wrt t?\n' | b'-51960\n' | b'Let p(f) = 8664*f**3 + 3294*f**2 + 8*f. Let k(d) = -8665*d**3 - 3281*d**2 - 10*d. Let n(s) = -4*k(s) - 5*p(s). What is the third derivative of n(t) wrt t?\n' | b'-51960\n' | deepmind/math_dataset |
b'Let w be (0 - 1)/(5/2 + -2). Let v(k) = 4*k + 3. Give v(w).\n' | b'-5\n' | b'Let w be (0 - 1)/(5/2 + -2). Let v(k) = 4*k + 3. Give v(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify q**33*q**(1/25) assuming q is positive.\n' | b'q**(826/25)\n' | b'Simplify q**33*q**(1/25) assuming q is positive.\n' | b'q**(826/25)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l and 2 i when four letters picked without replacement from {i: 2, l: 2}.\n' | b'1\n' | b'Calculate prob of picking 2 l and 2 i when four letters picked without replacement from {i: 2, l: 2}.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(s) = -6*s + 4. Let w be n(0). Solve -g + 5*o + 5 = 17, 2*o - 18 = -w*g for g.\n' | b'3\n' | b'Let n(s) = -6*s + 4. Let w be n(0). Solve -g + 5*o + 5 = 17, 2*o - 18 = -w*g for g.\n' | b'3\n' | deepmind/math_dataset |
b'Let s = 13 + -8. Let q(c) = c + 7. What is q(s)?\n' | b'12\n' | b'Let s = 13 + -8. Let q(c) = c + 7. What is q(s)?\n' | b'12\n' | deepmind/math_dataset |
b'Let n be -1 + (-46 + 2)/(-11). Solve 2*b + 1 = 2*z - 7, -5*b = -n*z + 14 for b.\n' | b'-1\n' | b'Let n be -1 + (-46 + 2)/(-11). Solve 2*b + 1 = 2*z - 7, -5*b = -n*z + 14 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 2 k when four letters picked without replacement from sbcqqkkbkccbkckk?\n' | b'9/364\n' | b'What is prob of picking 2 b and 2 k when four letters picked without replacement from sbcqqkkbkccbkckk?\n' | b'9/364\n' | deepmind/math_dataset |
b'Simplify (g/(g/(g/(g**0*g))))**(-2/125)*g**(-1/6)/g*g**(1/3) assuming g is positive.\n' | b'g**(-5/6)\n' | b'Simplify (g/(g/(g/(g**0*g))))**(-2/125)*g**(-1/6)/g*g**(1/3) assuming g is positive.\n' | b'g**(-5/6)\n' | deepmind/math_dataset |
b'Simplify ((u*u**(2/13))/((u*u/u**2)/u))**50 assuming u is positive.\n' | b'u**(1400/13)\n' | b'Simplify ((u*u**(2/13))/((u*u/u**2)/u))**50 assuming u is positive.\n' | b'u**(1400/13)\n' | deepmind/math_dataset |
b'Let f be 3/2*(-8)/(-6). Suppose -31 = -2*h + 35. Suppose v + 5 = h. Solve z = -2*z + 5*o + v, 11 = z - f*o for z.\n' | b'1\n' | b'Let f be 3/2*(-8)/(-6). Suppose -31 = -2*h + 35. Suppose v + 5 = h. Solve z = -2*z + 5*o + v, 11 = z - f*o for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(j) = -j**3 + 16*j**2 - 24*j - 26. Let w be u(14). What is the second derivative of -w*d + 148*d**3 + 2*d**2 - 23*d - 44*d**3 wrt d?\n' | b'624*d + 4\n' | b'Let u(j) = -j**3 + 16*j**2 - 24*j - 26. Let w be u(14). What is the second derivative of -w*d + 148*d**3 + 2*d**2 - 23*d - 44*d**3 wrt d?\n' | b'624*d + 4\n' | deepmind/math_dataset |
b'Suppose -d + 30 = 3*d - 2*i, 3 = -3*i. Solve -2*p + 6 = 2*t, t = -2*t - 5*p + d for t.\n' | b'4\n' | b'Suppose -d + 30 = 3*d - 2*i, 3 = -3*i. Solve -2*p + 6 = 2*t, t = -2*t - 5*p + d for t.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 o when four letters picked without replacement from omuuuuoououuuu.\n' | b'48/143\n' | b'Calculate prob of picking 3 u and 1 o when four letters picked without replacement from omuuuuoououuuu.\n' | b'48/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tzwtttwwiwwtztwwww. What is prob of picking 1 i and 1 w?\n' | b'1/17\n' | b'Two letters picked without replacement from tzwtttwwiwwtztwwww. What is prob of picking 1 i and 1 w?\n' | b'1/17\n' | deepmind/math_dataset |
b'Simplify (k**1*k*k**(-5)*(k**(-2/5)*k)**45)/((k**2)**10*k**(-2/13)*k**(5/2)) assuming k is positive.\n' | b'k**(43/26)\n' | b'Simplify (k**1*k*k**(-5)*(k**(-2/5)*k)**45)/((k**2)**10*k**(-2/13)*k**(5/2)) assuming k is positive.\n' | b'k**(43/26)\n' | deepmind/math_dataset |
b'Let c(t) = -4*t**2 + 9*t - 2. Let l(w) = 11*w**2 - 28*w + 7. Let r(o) = 8*c(o) + 3*l(o). Give r(11).\n' | b'-6\n' | b'Let c(t) = -4*t**2 + 9*t - 2. Let l(w) = 11*w**2 - 28*w + 7. Let r(o) = 8*c(o) + 3*l(o). Give r(11).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 1, g: 1, n: 2, k: 1}. What is prob of picking 1 n, 1 g, 1 x, and 1 k?\n' | b'2/5\n' | b'Four letters picked without replacement from {x: 1, g: 1, n: 2, k: 1}. What is prob of picking 1 n, 1 g, 1 x, and 1 k?\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of sequence sxx when three letters picked without replacement from gxsggagkgkxxg?\n' | b'1/286\n' | b'What is prob of sequence sxx when three letters picked without replacement from gxsggagkgkxxg?\n' | b'1/286\n' | deepmind/math_dataset |
b'Suppose -6084 + 652 = 7*d. Let l = d - -1435. Differentiate -329*i**4 - 327*i**4 - 7 + l*i**4 wrt i.\n' | b'12*i**3\n' | b'Suppose -6084 + 652 = 7*d. Let l = d - -1435. Differentiate -329*i**4 - 327*i**4 - 7 + l*i**4 wrt i.\n' | b'12*i**3\n' | deepmind/math_dataset |
b'Simplify (((q/(q**(-3/17)*q))/q)/q*q**(2/21)*q)/(q**(-4/17))**(-9) assuming q is positive.\n' | b'q**(-1016/357)\n' | b'Simplify (((q/(q**(-3/17)*q))/q)/q*q**(2/21)*q)/(q**(-4/17))**(-9) assuming q is positive.\n' | b'q**(-1016/357)\n' | deepmind/math_dataset |
b'Simplify ((n/((n*n/((n*n/(n*n**(-36)))/n))/n))/n**(-1/28))**(-1/21) assuming n is positive.\n' | b'n**(-1009/588)\n' | b'Simplify ((n/((n*n/((n*n/(n*n**(-36)))/n))/n))/n**(-1/28))**(-1/21) assuming n is positive.\n' | b'n**(-1009/588)\n' | deepmind/math_dataset |
b'Let m be (-24)/3*(-1)/2. What is the derivative of 0 + 0*q**4 + 2 - m + q**4 wrt q?\n' | b'4*q**3\n' | b'Let m be (-24)/3*(-1)/2. What is the derivative of 0 + 0*q**4 + 2 - m + q**4 wrt q?\n' | b'4*q**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 7, n: 5, c: 3, q: 2}. What is prob of picking 2 c and 2 n?\n' | b'3/238\n' | b'Four letters picked without replacement from {f: 7, n: 5, c: 3, q: 2}. What is prob of picking 2 c and 2 n?\n' | b'3/238\n' | deepmind/math_dataset |
b'Suppose 3*p - 4*p = 0. Suppose -21*h + 22*h - 14 = p. Find the second derivative of -2*d**2 + 5*d**2 + 8*d**2 + 2*d**2 + h*d wrt d.\n' | b'26\n' | b'Suppose 3*p - 4*p = 0. Suppose -21*h + 22*h - 14 = p. Find the second derivative of -2*d**2 + 5*d**2 + 8*d**2 + 2*d**2 + h*d wrt d.\n' | b'26\n' | deepmind/math_dataset |
b'Suppose 0 = 5*q + 44 - 14. Let c(f) = f**2 + 7*f + 1. Determine c(q).\n' | b'-5\n' | b'Suppose 0 = 5*q + 44 - 14. Let c(f) = f**2 + 7*f + 1. Determine c(q).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssllqeqqlls. What is prob of picking 1 q and 1 e?\n' | b'3/55\n' | b'Two letters picked without replacement from ssllqeqqlls. What is prob of picking 1 q and 1 e?\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify ((h*h*h*(h/h**(-1/9))/h*h*h)**(2/11)*((h**4*h*h)/h)**(23/3))**(4/3) assuming h is positive.\n' | b'h**(15548/297)\n' | b'Simplify ((h*h*h*(h/h**(-1/9))/h*h*h)**(2/11)*((h**4*h*h)/h)**(23/3))**(4/3) assuming h is positive.\n' | b'h**(15548/297)\n' | deepmind/math_dataset |
b'Simplify (((g/g**34)/g)/(g*g**(-15/4)))**(-45) assuming g is positive.\n' | b'g**(5625/4)\n' | b'Simplify (((g/g**34)/g)/(g*g**(-15/4)))**(-45) assuming g is positive.\n' | b'g**(5625/4)\n' | deepmind/math_dataset |
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