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 ((l/(l/l**(-3/2)))/l*l*l*l*l/(((l*l*l**(-2))/l)/l))/(l**(8/7)/(l**(-1/6)*l)) assuming l is positive.\n' | b'l**(67/21)\n' | b'Simplify ((l/(l/l**(-3/2)))/l*l*l*l*l/(((l*l*l**(-2))/l)/l))/(l**(8/7)/(l**(-1/6)*l)) assuming l is positive.\n' | b'l**(67/21)\n' | deepmind/math_dataset |
b'Simplify m**(-1/4)*(m**17/m)/m assuming m is positive.\n' | b'm**(59/4)\n' | b'Simplify m**(-1/4)*(m**17/m)/m assuming m is positive.\n' | b'm**(59/4)\n' | deepmind/math_dataset |
b'Let v = 9 - 4. Suppose 31 = 2*f - 5*m, 4*m - 25 = -v*f + 6*m. What is the third derivative of p**2 + f*p**5 + 0*p**5 + 2*p**2 wrt p?\n' | b'180*p**2\n' | b'Let v = 9 - 4. Suppose 31 = 2*f - 5*m, 4*m - 25 = -v*f + 6*m. What is the third derivative of p**2 + f*p**5 + 0*p**5 + 2*p**2 wrt p?\n' | b'180*p**2\n' | deepmind/math_dataset |
b'Suppose -3*b + 107 = -1. Let x = b + -36. Solve x*l + 3 = l - i, 2*i + 16 = 4*l for l.\n' | b'5\n' | b'Suppose -3*b + 107 = -1. Let x = b + -36. Solve x*l + 3 = l - i, 2*i + 16 = 4*l for l.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 13, p: 2, d: 3, h: 1}. Give prob of picking 1 g, 2 p, and 1 d.\n' | b'13/1292\n' | b'Four letters picked without replacement from {g: 13, p: 2, d: 3, h: 1}. Give prob of picking 1 g, 2 p, and 1 d.\n' | b'13/1292\n' | deepmind/math_dataset |
b'Let c(s) be the third derivative of 1/15*s**6 + 0*s**4 + 13/30*s**5 + 0*s + 0*s**3 - 11*s**2 + 0. What is the third derivative of c(t) wrt t?\n' | b'48\n' | b'Let c(s) be the third derivative of 1/15*s**6 + 0*s**4 + 13/30*s**5 + 0*s + 0*s**3 - 11*s**2 + 0. What is the third derivative of c(t) wrt t?\n' | b'48\n' | deepmind/math_dataset |
b'Let k(o) be the first derivative of 2*o**2 + 3*o + 7. Differentiate k(i) with respect to i.\n' | b'4\n' | b'Let k(o) be the first derivative of 2*o**2 + 3*o + 7. Differentiate k(i) with respect to i.\n' | b'4\n' | deepmind/math_dataset |
b'Let s(x) = 4*x**2 - x + 133. Let l(h) = -20*h**2 + 5*h - 664. Let k(j) = 2*l(j) + 11*s(j). What is the first derivative of k(n) wrt n?\n' | b'8*n - 1\n' | b'Let s(x) = 4*x**2 - x + 133. Let l(h) = -20*h**2 + 5*h - 664. Let k(j) = 2*l(j) + 11*s(j). What is the first derivative of k(n) wrt n?\n' | b'8*n - 1\n' | deepmind/math_dataset |
b'Let y be (3 - 3) + -3*2. Let g(t) be the second derivative of 2 + 2/3*t**3 + 2*t - 3*t**2 + 1/12*t**4. Calculate g(y).\n' | b'6\n' | b'Let y be (3 - 3) + -3*2. Let g(t) be the second derivative of 2 + 2/3*t**3 + 2*t - 3*t**2 + 1/12*t**4. Calculate g(y).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, g: 7}. Give prob of sequence dd.\n' | b'5/33\n' | b'Two letters picked without replacement from {d: 5, g: 7}. Give prob of sequence dd.\n' | b'5/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, t: 3, j: 1, q: 4, k: 2, d: 4}. Give prob of sequence qdn.\n' | b'8/1365\n' | b'Three letters picked without replacement from {n: 1, t: 3, j: 1, q: 4, k: 2, d: 4}. Give prob of sequence qdn.\n' | b'8/1365\n' | deepmind/math_dataset |
b'Simplify (k/k**(-6))**(-4)*(k**(-10/7))**(23/3) assuming k is positive.\n' | b'k**(-818/21)\n' | b'Simplify (k/k**(-6))**(-4)*(k**(-10/7))**(23/3) assuming k is positive.\n' | b'k**(-818/21)\n' | deepmind/math_dataset |
b'Let j(f) = -11*f**3 - 6*f + 11. Let r(a) = -33*a**3 - 17*a + 34. Let u(d) = 17*j(d) - 6*r(d). Find the first derivative of u(o) wrt o.\n' | b'33*o**2\n' | b'Let j(f) = -11*f**3 - 6*f + 11. Let r(a) = -33*a**3 - 17*a + 34. Let u(d) = 17*j(d) - 6*r(d). Find the first derivative of u(o) wrt o.\n' | b'33*o**2\n' | deepmind/math_dataset |
b'Simplify (o**(-1/11)/(o/(o/(o*o**(1/10))*o)))/(o*(o*o/(o**(-1/4)/o))/o*o*o**(-9)) assuming o is positive.\n' | b'o**(1003/220)\n' | b'Simplify (o**(-1/11)/(o/(o/(o*o**(1/10))*o)))/(o*(o*o/(o**(-1/4)/o))/o*o*o**(-9)) assuming o is positive.\n' | b'o**(1003/220)\n' | deepmind/math_dataset |
b'Simplify ((g**(-12)/g)/g*g)/g**(-12)*(g**0/g*g)**24 assuming g is positive.\n' | b'1/g\n' | b'Simplify ((g**(-12)/g)/g*g)/g**(-12)*(g**0/g*g)**24 assuming g is positive.\n' | b'1/g\n' | deepmind/math_dataset |
b'Simplify (((s**(-7)/s*s*s)**(-37))**(2/135))**1 assuming s is positive.\n' | b's**(148/45)\n' | b'Simplify (((s**(-7)/s*s*s)**(-37))**(2/135))**1 assuming s is positive.\n' | b's**(148/45)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 4, i: 5, q: 1, l: 1}. What is prob of sequence ip?\n' | b'2/11\n' | b'Two letters picked without replacement from {p: 4, i: 5, q: 1, l: 1}. What is prob of sequence ip?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let t(u) = 3460*u**2 - 6352*u + 102. Let a(j) = 1153*j**2 - 2117*j + 36. Let k(n) = -17*a(n) + 6*t(n). Find the second derivative of k(c) wrt c.\n' | b'2318\n' | b'Let t(u) = 3460*u**2 - 6352*u + 102. Let a(j) = 1153*j**2 - 2117*j + 36. Let k(n) = -17*a(n) + 6*t(n). Find the second derivative of k(c) wrt c.\n' | b'2318\n' | deepmind/math_dataset |
b'Suppose 3*y = 9*y - 18. Differentiate 1269 + 8*b**3 - 776 - 698 + y*b**4 with respect to b.\n' | b'12*b**3 + 24*b**2\n' | b'Suppose 3*y = 9*y - 18. Differentiate 1269 + 8*b**3 - 776 - 698 + y*b**4 with respect to b.\n' | b'12*b**3 + 24*b**2\n' | deepmind/math_dataset |
b'Let b(g) = 7*g - 4. Let n = -151 - -153. Give b(n).\n' | b'10\n' | b'Let b(g) = 7*g - 4. Let n = -151 - -153. Give b(n).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (g**7/g**(2/31))**44 assuming g is positive.\n' | b'g**(9460/31)\n' | b'Simplify (g**7/g**(2/31))**44 assuming g is positive.\n' | b'g**(9460/31)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 9, k: 9}. What is prob of sequence ckkc?\n' | b'6/85\n' | b'Four letters picked without replacement from {c: 9, k: 9}. What is prob of sequence ckkc?\n' | b'6/85\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxxxxxc. Give prob of picking 2 x.\n' | b'3/4\n' | b'Two letters picked without replacement from xxxxxxxc. Give prob of picking 2 x.\n' | b'3/4\n' | deepmind/math_dataset |
b'Simplify (t*t/((t/(t/(t**1/t)))/t))**(-11/5)/(t**(1/3)/t*t**(-1/2)) assuming t is positive.\n' | b't**(-163/30)\n' | b'Simplify (t*t/((t/(t/(t**1/t)))/t))**(-11/5)/(t**(1/3)/t*t**(-1/2)) assuming t is positive.\n' | b't**(-163/30)\n' | deepmind/math_dataset |
b'Simplify (j*(j*j*j**(-4/5))/j*j*j**22)**(-6) assuming j is positive.\n' | b'j**(-726/5)\n' | b'Simplify (j*(j*j*j**(-4/5))/j*j*j**22)**(-6) assuming j is positive.\n' | b'j**(-726/5)\n' | deepmind/math_dataset |
b'Suppose 15 = -v - 4*b, -3*b + 1 = 5*v - 9. Let d = 94 + -89. What is the second derivative of -d*u**2 + 5*u - 3*u**3 + v*u**2 + 0*u**2 wrt u?\n' | b'-18*u\n' | b'Suppose 15 = -v - 4*b, -3*b + 1 = 5*v - 9. Let d = 94 + -89. What is the second derivative of -d*u**2 + 5*u - 3*u**3 + v*u**2 + 0*u**2 wrt u?\n' | b'-18*u\n' | deepmind/math_dataset |
b'Let s(o) = -o + 6. Let u be s(0). Let v(y) be the second derivative of y**4/12 - y**3 + y**2/2 - 1477*y. Give v(u).\n' | b'1\n' | b'Let s(o) = -o + 6. Let u be s(0). Let v(y) be the second derivative of y**4/12 - y**3 + y**2/2 - 1477*y. Give v(u).\n' | b'1\n' | deepmind/math_dataset |
b'Let l(g) = 55*g**3 - 13*g**2 - 4*g - 4. Let h(y) = 43 - y - 27*y**2 - 8*y - 52 + 110*y**3. Let s(v) = 4*h(v) - 9*l(v). Find the third derivative of s(c) wrt c.\n' | b'-330\n' | b'Let l(g) = 55*g**3 - 13*g**2 - 4*g - 4. Let h(y) = 43 - y - 27*y**2 - 8*y - 52 + 110*y**3. Let s(v) = 4*h(v) - 9*l(v). Find the third derivative of s(c) wrt c.\n' | b'-330\n' | deepmind/math_dataset |
b'Let n be (14/(4 + -2))/1. Let s(i) = -i**3 + 8*i - 9*i - 76*i**2 - 1 + 83*i**2. Calculate s(n).\n' | b'-8\n' | b'Let n be (14/(4 + -2))/1. Let s(i) = -i**3 + 8*i - 9*i - 76*i**2 - 1 + 83*i**2. Calculate s(n).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of sequence unu when three letters picked without replacement from {n: 10, u: 2, o: 3}?\n' | b'2/273\n' | b'What is prob of sequence unu when three letters picked without replacement from {n: 10, u: 2, o: 3}?\n' | b'2/273\n' | deepmind/math_dataset |
b'Suppose -235*s - 68*s + 1216 = s. Solve 4*x = -3*f + 12, 121*f - 117*f = s*x - 12 for x.\n' | b'3\n' | b'Suppose -235*s - 68*s + 1216 = s. Solve 4*x = -3*f + 12, 121*f - 117*f = s*x - 12 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxxx. Give prob of sequence xx.\n' | b'1\n' | b'Two letters picked without replacement from xxxxx. Give prob of sequence xx.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = -23*o + 24*o. Suppose -4*d = -0*q + 2*q - 26, o = -4*q + 5*d + 39. Solve 5*k = -0*r + r + q, 3*k + 4*r - 2 = 0 for k.\n' | b'2\n' | b'Suppose 0 = -23*o + 24*o. Suppose -4*d = -0*q + 2*q - 26, o = -4*q + 5*d + 39. Solve 5*k = -0*r + r + q, 3*k + 4*r - 2 = 0 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let w(j) = 5*j**3 - 3*j**2 + 3*j + 186. Let o(p) = 10*p**3 - 4*p**2 + 4*p + 186. Let s(i) = 3*o(i) - 4*w(i). Differentiate s(g) with respect to g.\n' | b'30*g**2\n' | b'Let w(j) = 5*j**3 - 3*j**2 + 3*j + 186. Let o(p) = 10*p**3 - 4*p**2 + 4*p + 186. Let s(i) = 3*o(i) - 4*w(i). Differentiate s(g) with respect to g.\n' | b'30*g**2\n' | deepmind/math_dataset |
b'Simplify ((p**2)**(-5/16)/(p**(-1)/(((p**(-10)*p)/p)/p)))**(-8) assuming p is positive.\n' | b'p**85\n' | b'Simplify ((p**2)**(-5/16)/(p**(-1)/(((p**(-10)*p)/p)/p)))**(-8) assuming p is positive.\n' | b'p**85\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 1, n: 1, k: 2, m: 1, i: 2}. What is prob of sequence lini?\n' | b'1/420\n' | b'Four letters picked without replacement from {l: 1, n: 1, k: 2, m: 1, i: 2}. What is prob of sequence lini?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let n be 2/(-10) - 16/(-5). Solve n*z + 2*v = -2*v - 2, 0 = 4*z - 2*v - 12 for z.\n' | b'2\n' | b'Let n be 2/(-10) - 16/(-5). Solve n*z + 2*v = -2*v - 2, 0 = 4*z - 2*v - 12 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((r**(-1/2)*r)/r)/r)**(15/7)*((r*r/r**(-2/5))/r)**(-34) assuming r is positive.\n' | b'r**(-3557/70)\n' | b'Simplify (((r**(-1/2)*r)/r)/r)**(15/7)*((r*r/r**(-2/5))/r)**(-34) assuming r is positive.\n' | b'r**(-3557/70)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmmymymyyymmmm. What is prob of picking 4 m?\n' | b'18/143\n' | b'Four letters picked without replacement from mmmymymyyymmmm. What is prob of picking 4 m?\n' | b'18/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qpzqkpqkpqqqpkzwp. Give prob of picking 1 k and 2 p.\n' | b'3/68\n' | b'Three letters picked without replacement from qpzqkpqkpqqqpkzwp. Give prob of picking 1 k and 2 p.\n' | b'3/68\n' | deepmind/math_dataset |
b'Let u(o) = 22*o**2 + 2*o - 33*o**3 - 19*o**2 - 13*o**2 + 0*o + 6 + 34*o**3. Determine u(9).\n' | b'-57\n' | b'Let u(o) = 22*o**2 + 2*o - 33*o**3 - 19*o**2 - 13*o**2 + 0*o + 6 + 34*o**3. Determine u(9).\n' | b'-57\n' | deepmind/math_dataset |
b'Let f(b) = -2*b**2 + 14*b - 9. Let p be f(6). What is the second derivative of -2*j + p*j - 6*j**4 + 2*j**4 - 7*j**4 wrt j?\n' | b'-132*j**2\n' | b'Let f(b) = -2*b**2 + 14*b - 9. Let p be f(6). What is the second derivative of -2*j + p*j - 6*j**4 + 2*j**4 - 7*j**4 wrt j?\n' | b'-132*j**2\n' | deepmind/math_dataset |
b'What is the first derivative of -672*u**2 - 467 + 2271 - 3221*u**2 - 2545*u**2 - 810*u**2 wrt u?\n' | b'-14496*u\n' | b'What is the first derivative of -672*u**2 - 467 + 2271 - 3221*u**2 - 2545*u**2 - 810*u**2 wrt u?\n' | b'-14496*u\n' | deepmind/math_dataset |
b'Let y(s) = 2*s - s + 2*s + s**2 - 8. Let r be y(-5). Solve -8 = -4*v - 4*d, 3*v - r - 6 = -d for v.\n' | b'3\n' | b'Let y(s) = 2*s - s + 2*s + s**2 - 8. Let r be y(-5). Solve -8 = -4*v - 4*d, 3*v - r - 6 = -d for v.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ycfcnqc. Give prob of picking 2 c and 1 f.\n' | b'3/35\n' | b'Three letters picked without replacement from ycfcnqc. Give prob of picking 2 c and 1 f.\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify (x**(1/2))**(3/11)*x*x*x**(-1/3)*x**(-2/5)*x assuming x is positive.\n' | b'x**(793/330)\n' | b'Simplify (x**(1/2))**(3/11)*x*x*x**(-1/3)*x**(-2/5)*x assuming x is positive.\n' | b'x**(793/330)\n' | deepmind/math_dataset |
b'Let t(v) = 12*v**2 - v. Suppose -2*a + 6*a = -4. Give t(a).\n' | b'13\n' | b'Let t(v) = 12*v**2 - v. Suppose -2*a + 6*a = -4. Give t(a).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify ((o**4)**12)**(-23) assuming o is positive.\n' | b'o**(-1104)\n' | b'Simplify ((o**4)**12)**(-23) assuming o is positive.\n' | b'o**(-1104)\n' | deepmind/math_dataset |
b'Let u = -22 + 24. Solve -6 = -4*g - 2*o, 3*o + u = -4*g + 7 for g.\n' | b'2\n' | b'Let u = -22 + 24. Solve -6 = -4*g - 2*o, 3*o + u = -4*g + 7 for g.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence whvd when four letters picked without replacement from wdwvdvwdwdhhhvhochch?\n' | b'4/1615\n' | b'What is prob of sequence whvd when four letters picked without replacement from wdwvdvwdwdhhhvhochch?\n' | b'4/1615\n' | deepmind/math_dataset |
b'Suppose -3 = -0*x - x. Let o = x - 1. Find the first derivative of 2*y - o*y - 2 - 3*y**2 wrt y.\n' | b'-6*y\n' | b'Suppose -3 = -0*x - x. Let o = x - 1. Find the first derivative of 2*y - o*y - 2 - 3*y**2 wrt y.\n' | b'-6*y\n' | deepmind/math_dataset |
b'Let w = -1 + -13. Let o = w - -18. Solve -o*x + 4*h + 7 = h, 5*h = 2*x + 7 for x.\n' | b'4\n' | b'Let w = -1 + -13. Let o = w - -18. Solve -o*x + 4*h + 7 = h, 5*h = 2*x + 7 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Find the first derivative of 0*k + 5*k + 3 - 4*k - 5*k wrt k.\n' | b'-4\n' | b'Find the first derivative of 0*k + 5*k + 3 - 4*k - 5*k wrt k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((i*i/(i/(i/i**(-9)))*i*i*i)**(-34)/((i**(1/5)*i)/i)**35)**(29/5) assuming i is positive.\n' | b'i**(-14007/5)\n' | b'Simplify ((i*i/(i/(i/i**(-9)))*i*i*i)**(-34)/((i**(1/5)*i)/i)**35)**(29/5) assuming i is positive.\n' | b'i**(-14007/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 1 n when two letters picked without replacement from znq.\n' | b'1/3\n' | b'Calculate prob of picking 1 q and 1 n when two letters picked without replacement from znq.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let c = -8 - -8. What is the third derivative of -7*t**2 - t**5 + c*t**5 + 6*t**2 wrt t?\n' | b'-60*t**2\n' | b'Let c = -8 - -8. What is the third derivative of -7*t**2 - t**5 + c*t**5 + 6*t**2 wrt t?\n' | b'-60*t**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence dry when three letters picked without replacement from {b: 1, d: 1, k: 2, y: 1, r: 3, q: 4}.\n' | b'1/440\n' | b'Calculate prob of sequence dry when three letters picked without replacement from {b: 1, d: 1, k: 2, y: 1, r: 3, q: 4}.\n' | b'1/440\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, n: 5, r: 3, q: 6}. What is prob of picking 2 r and 1 o?\n' | b'3/455\n' | b'Three letters picked without replacement from {o: 1, n: 5, r: 3, q: 6}. What is prob of picking 2 r and 1 o?\n' | b'3/455\n' | deepmind/math_dataset |
b'Let y(z) = 0 + 0*z**2 + 0 - 2*z**2 + 5*z. Let n(b) = 0*b + 2*b**2 + b - 3*b**2. Let g(h) = -4*n(h) + y(h). What is the second derivative of g(q) wrt q?\n' | b'4\n' | b'Let y(z) = 0 + 0*z**2 + 0 - 2*z**2 + 5*z. Let n(b) = 0*b + 2*b**2 + b - 3*b**2. Let g(h) = -4*n(h) + y(h). What is the second derivative of g(q) wrt q?\n' | b'4\n' | deepmind/math_dataset |
b'Let a(t) = -21*t + 19. Let s be a(6). Let h be 5/(25/(-10)) - s. Suppose 28*k - h = 25*k. Solve 3*z = -w - w - 5, -3*z - k = -4*w for w.\n' | b'5\n' | b'Let a(t) = -21*t + 19. Let s be a(6). Let h be 5/(25/(-10)) - s. Suppose 28*k - h = 25*k. Solve 3*z = -w - w - 5, -3*z - k = -4*w for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let y(i) = i**2 - i - 8. Let b be -72 - 9/(63/(-28)). Let p = -62 - b. Determine y(p).\n' | b'22\n' | b'Let y(i) = i**2 - i - 8. Let b be -72 - 9/(63/(-28)). Let p = -62 - b. Determine y(p).\n' | b'22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwbbwjjwjwwbbjw. What is prob of picking 1 j and 2 b?\n' | b'24/455\n' | b'Three letters picked without replacement from wwbbwjjwjwwbbjw. What is prob of picking 1 j and 2 b?\n' | b'24/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 12, a: 2, d: 3, f: 2, i: 1}. What is prob of sequence si?\n' | b'3/95\n' | b'Two letters picked without replacement from {s: 12, a: 2, d: 3, f: 2, i: 1}. What is prob of sequence si?\n' | b'3/95\n' | deepmind/math_dataset |
b'Let j(a) = a**2 - a + 9. Suppose 7*z - 184 - 1538 = 0. Let u = -239 + z. Calculate j(u).\n' | b'51\n' | b'Let j(a) = a**2 - a + 9. Suppose 7*z - 184 - 1538 = 0. Let u = -239 + z. Calculate j(u).\n' | b'51\n' | deepmind/math_dataset |
b'Suppose 0 = 3*h - 8*h. Let p(f) = -f**2 + f + 3. Let q be p(h). What is the first derivative of g**q - 7*g**3 + 89*g**2 - 7 - 89*g**2 wrt g?\n' | b'-18*g**2\n' | b'Suppose 0 = 3*h - 8*h. Let p(f) = -f**2 + f + 3. Let q be p(h). What is the first derivative of g**q - 7*g**3 + 89*g**2 - 7 - 89*g**2 wrt g?\n' | b'-18*g**2\n' | deepmind/math_dataset |
b'Simplify ((d*d**(-4/7))/(d/(d*d**(-14)*d)))**(-3/2) assuming d is positive.\n' | b'd**(132/7)\n' | b'Simplify ((d*d**(-4/7))/(d/(d*d**(-14)*d)))**(-3/2) assuming d is positive.\n' | b'd**(132/7)\n' | deepmind/math_dataset |
b'Suppose 0 = -a - 3*a + 48. Let b = a + -17. Let t(u) = u**2 + 6*u - 1. Give t(b).\n' | b'-6\n' | b'Suppose 0 = -a - 3*a + 48. Let b = a + -17. Let t(u) = u**2 + 6*u - 1. Give t(b).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, v: 8}. What is prob of picking 2 q?\n' | b'1/45\n' | b'Two letters picked without replacement from {q: 2, v: 8}. What is prob of picking 2 q?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let w(n) be the second derivative of n**3/3 - n**2/2 + 59*n. Give w(0).\n' | b'-1\n' | b'Let w(n) be the second derivative of n**3/3 - n**2/2 + 59*n. Give w(0).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iriiifiryiirriiriii. What is prob of picking 1 f and 3 r?\n' | b'5/1938\n' | b'Four letters picked without replacement from iriiifiryiirriiriii. What is prob of picking 1 f and 3 r?\n' | b'5/1938\n' | deepmind/math_dataset |
b'Simplify ((g*g/g**(-2/7)*g**(-4)/g)/(g**(-2/9)*g*g**(-2/9)))/(g**(2/7)*g**(1/3))**19 assuming g is positive.\n' | b'g**(-947/63)\n' | b'Simplify ((g*g/g**(-2/7)*g**(-4)/g)/(g**(-2/9)*g*g**(-2/9)))/(g**(2/7)*g**(1/3))**19 assuming g is positive.\n' | b'g**(-947/63)\n' | deepmind/math_dataset |
b'Simplify (x**(1/6)/x**(8/7))**46 assuming x is positive.\n' | b'x**(-943/21)\n' | b'Simplify (x**(1/6)/x**(8/7))**46 assuming x is positive.\n' | b'x**(-943/21)\n' | deepmind/math_dataset |
b'Let n(a) = -11*a + 2*a + 16 - 4 - 735*a**2 + 734*a**2. What is n(-10)?\n' | b'2\n' | b'Let n(a) = -11*a + 2*a + 16 - 4 - 735*a**2 + 734*a**2. What is n(-10)?\n' | b'2\n' | deepmind/math_dataset |
b'What is the third derivative of s**5 - 11*s**2 - 11*s**5 + 16*s**2 wrt s?\n' | b'-600*s**2\n' | b'What is the third derivative of s**5 - 11*s**2 - 11*s**5 + 16*s**2 wrt s?\n' | b'-600*s**2\n' | deepmind/math_dataset |
b'Suppose -2*c + 118 = -2*f, -4*f - 5*c = -0*f + 191. Let y = 57 + f. Solve -2*r + 4*q + 6 = 0, 1 + 0 = -y*r + q for r.\n' | b'-1\n' | b'Suppose -2*c + 118 = -2*f, -4*f - 5*c = -0*f + 191. Let y = 57 + f. Solve -2*r + 4*q + 6 = 0, 1 + 0 = -y*r + q for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(r) = -r**2 - 8*r - 8. Let n be x(-6). Suppose 4*h - n = -24. Let g(j) = -j**3 - 6*j**2 - 6*j - 6. What is g(h)?\n' | b'-1\n' | b'Let x(r) = -r**2 - 8*r - 8. Let n be x(-6). Suppose 4*h - n = -24. Let g(j) = -j**3 - 6*j**2 - 6*j - 6. What is g(h)?\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {d: 1, m: 3, n: 2, r: 3, i: 1}.\n' | b'1/15\n' | b'Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {d: 1, m: 3, n: 2, r: 3, i: 1}.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence vvvv when four letters picked without replacement from {t: 3, l: 4, v: 5, u: 2, n: 5}?\n' | b'5/3876\n' | b'What is prob of sequence vvvv when four letters picked without replacement from {t: 3, l: 4, v: 5, u: 2, n: 5}?\n' | b'5/3876\n' | deepmind/math_dataset |
b'Suppose d + 11 = 2*n + 3*n, 5*n - 15 = 0. What is the third derivative of -6*a**4 + 3*a**2 + 3*a**d - 6*a**2 wrt a?\n' | b'-72*a\n' | b'Suppose d + 11 = 2*n + 3*n, 5*n - 15 = 0. What is the third derivative of -6*a**4 + 3*a**2 + 3*a**d - 6*a**2 wrt a?\n' | b'-72*a\n' | deepmind/math_dataset |
b'Let s(r) = 1660*r**2 - 16*r - 3516. Let x(i) = -333*i**2 + 3*i + 703. Let a(o) = -2*s(o) - 11*x(o). What is the first derivative of a(d) wrt d?\n' | b'686*d - 1\n' | b'Let s(r) = 1660*r**2 - 16*r - 3516. Let x(i) = -333*i**2 + 3*i + 703. Let a(o) = -2*s(o) - 11*x(o). What is the first derivative of a(d) wrt d?\n' | b'686*d - 1\n' | deepmind/math_dataset |
b'Find the third derivative of 12*o**2 + 15*o**3 + 7*o**2 - 3*o**2 wrt o.\n' | b'90\n' | b'Find the third derivative of 12*o**2 + 15*o**3 + 7*o**2 - 3*o**2 wrt o.\n' | b'90\n' | deepmind/math_dataset |
b'Simplify (g**(-24))**(-12/13)/(g**(10/13)*g)**17 assuming g is positive.\n' | b'g**(-103/13)\n' | b'Simplify (g**(-24))**(-12/13)/(g**(10/13)*g)**17 assuming g is positive.\n' | b'g**(-103/13)\n' | deepmind/math_dataset |
b'Differentiate -343 + 63 - 98 - 250 - 246*q**2 wrt q.\n' | b'-492*q\n' | b'Differentiate -343 + 63 - 98 - 250 - 246*q**2 wrt q.\n' | b'-492*q\n' | deepmind/math_dataset |
b'Let t(a) be the first derivative of -3*a**5/5 - 7*a**3 - 281*a + 179. Differentiate t(z) wrt z.\n' | b'-12*z**3 - 42*z\n' | b'Let t(a) be the first derivative of -3*a**5/5 - 7*a**3 - 281*a + 179. Differentiate t(z) wrt z.\n' | b'-12*z**3 - 42*z\n' | deepmind/math_dataset |
b'Suppose 3*m = -d + 5, -10 = -2*d - 0. Let f(x) be the first derivative of 0*x**3 + 9/4*x**4 - 9/2*x**2 + 5 + m*x. What is the second derivative of f(l) wrt l?\n' | b'54*l\n' | b'Suppose 3*m = -d + 5, -10 = -2*d - 0. Let f(x) be the first derivative of 0*x**3 + 9/4*x**4 - 9/2*x**2 + 5 + m*x. What is the second derivative of f(l) wrt l?\n' | b'54*l\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 2 l when three letters picked without replacement from {w: 2, l: 2, y: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 y and 2 l when three letters picked without replacement from {w: 2, l: 2, y: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify q**(-2/23)/q*q*q/(q/(q/(q/(q*q**10/q)))) assuming q is positive.\n' | b'q**(228/23)\n' | b'Simplify q**(-2/23)/q*q*q/(q/(q/(q/(q*q**10/q)))) assuming q is positive.\n' | b'q**(228/23)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvjvvrjjvjrjj. Give prob of sequence vr.\n' | b'5/78\n' | b'Two letters picked without replacement from vvjvvrjjvjrjj. Give prob of sequence vr.\n' | b'5/78\n' | deepmind/math_dataset |
b'Let x(r) = -21*r + 3 + 11*r + 2*r**2 + 12*r. Calculate x(-2).\n' | b'7\n' | b'Let x(r) = -21*r + 3 + 11*r + 2*r**2 + 12*r. Calculate x(-2).\n' | b'7\n' | deepmind/math_dataset |
b'Let c = -21 + 31. Suppose c = -2*n, -28 = m - 5*m + 4*n. Solve 0*b - 5 = b, 2*a + 16 = -m*b for a.\n' | b'-3\n' | b'Let c = -21 + 31. Suppose c = -2*n, -28 = m - 5*m + 4*n. Solve 0*b - 5 = b, 2*a + 16 = -m*b for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(i) = 3*i - 3. Let v(r) = -r + 0 + 20 - 1 + 2*r. Let d be v(-16). Calculate b(d).\n' | b'6\n' | b'Let b(i) = 3*i - 3. Let v(r) = -r + 0 + 20 - 1 + 2*r. Let d be v(-16). Calculate b(d).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rroroowoyywoorwwyyyr. What is prob of picking 2 w and 1 y?\n' | b'1/38\n' | b'Three letters picked without replacement from rroroowoyywoorwwyyyr. What is prob of picking 2 w and 1 y?\n' | b'1/38\n' | deepmind/math_dataset |
b'Calculate prob of sequence buuu when four letters picked without replacement from {b: 4, u: 3, i: 1}.\n' | b'1/70\n' | b'Calculate prob of sequence buuu when four letters picked without replacement from {b: 4, u: 3, i: 1}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hvhhvqvhvvvhhvvvhv. What is prob of sequence hhvv?\n' | b'7/136\n' | b'Four letters picked without replacement from hvhhvqvhvvvhhvvvhv. What is prob of sequence hhvv?\n' | b'7/136\n' | deepmind/math_dataset |
b'Let u(j) = 4*j**3 - 4*j**2 - j - 1. Let y(v) = v**3 - v + 1. Let w(m) = u(m) - 5*y(m). Suppose -17 = -4*h + 23. Let n = h + -15. Determine w(n).\n' | b'-1\n' | b'Let u(j) = 4*j**3 - 4*j**2 - j - 1. Let y(v) = v**3 - v + 1. Let w(m) = u(m) - 5*y(m). Suppose -17 = -4*h + 23. Let n = h + -15. Determine w(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(d) = -d**3 + 6*d**2 + d + 2. Let q be l(6). Let z be 28/q - (-1)/(-2). Solve 0*k - 5*k = 5, -z = -m + 4*k for m.\n' | b'-1\n' | b'Let l(d) = -d**3 + 6*d**2 + d + 2. Let q be l(6). Let z be 28/q - (-1)/(-2). Solve 0*k - 5*k = 5, -z = -m + 4*k for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(i) be the third derivative of -i**4/24 + i**3/6 + 12*i**2. Give x(4).\n' | b'-3\n' | b'Let x(i) be the third derivative of -i**4/24 + i**3/6 + 12*i**2. Give x(4).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, a: 1, q: 1, m: 13}. Give prob of sequence dqd.\n' | b'1/2040\n' | b'Three letters picked without replacement from {d: 2, a: 1, q: 1, m: 13}. Give prob of sequence dqd.\n' | b'1/2040\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {u: 1, w: 2, b: 1}.\n' | b'1/4\n' | b'Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {u: 1, w: 2, b: 1}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 b, and 1 y when three letters picked without replacement from {k: 2, b: 4, e: 1, q: 1, n: 6, y: 1}.\n' | b'4/455\n' | b'Calculate prob of picking 1 q, 1 b, and 1 y when three letters picked without replacement from {k: 2, b: 4, e: 1, q: 1, n: 6, y: 1}.\n' | b'4/455\n' | deepmind/math_dataset |
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