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**(-4))**(2/19)*p**(1/7)/p*p/p**(-2/3))**(-4/39) assuming p is positive.\n' | b'p**(-620/15561)\n' | b'Simplify ((p**(-4))**(2/19)*p**(1/7)/p*p/p**(-2/3))**(-4/39) assuming p is positive.\n' | b'p**(-620/15561)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ijtjiicjjjisji. Give prob of sequence si.\n' | b'5/182\n' | b'Two letters picked without replacement from ijtjiicjjjisji. Give prob of sequence si.\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify (z*z**(-4)*z/(z/(z/z**0))*z*z*z**(-2)*z**(2/3))**(1/12) assuming z is positive.\n' | b'z**(-1/9)\n' | b'Simplify (z*z**(-4)*z/(z/(z/z**0))*z*z*z**(-2)*z**(2/3))**(1/12) assuming z is positive.\n' | b'z**(-1/9)\n' | deepmind/math_dataset |
b'Let p(t) be the first derivative of -784*t**3/3 - 1145*t**2/2 - 484. Find the second derivative of p(c) wrt c.\n' | b'-1568\n' | b'Let p(t) be the first derivative of -784*t**3/3 - 1145*t**2/2 - 484. Find the second derivative of p(c) wrt c.\n' | b'-1568\n' | deepmind/math_dataset |
b'Suppose 806*d - 673*d - 532 = 0. Solve 0 = -d*g - 4*q, 5*g = -0*q + 2*q - 35 for g.\n' | b'-5\n' | b'Suppose 806*d - 673*d - 532 = 0. Solve 0 = -d*g - 4*q, 5*g = -0*q + 2*q - 35 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*w = p - 15, -3*w + 5 = -10. Let s(r) = 3*r - 7. Let x(j) = -9*j + 22. Let v(a) = 7*s(a) + 2*x(a). What is v(p)?\n' | b'10\n' | b'Suppose -2*w = p - 15, -3*w + 5 = -10. Let s(r) = 3*r - 7. Let x(j) = -9*j + 22. Let v(a) = 7*s(a) + 2*x(a). What is v(p)?\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from elnrreyrneynlrr. Give prob of sequence ln.\n' | b'1/35\n' | b'Two letters picked without replacement from elnrreyrneynlrr. Give prob of sequence ln.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffffffffffrffff. What is prob of sequence rf?\n' | b'1/15\n' | b'Two letters picked without replacement from ffffffffffrffff. What is prob of sequence rf?\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (s**(3/11)*s**(-19))/((s*s**(-1/3))/(s/s**(-22))) assuming s is positive.\n' | b's**(119/33)\n' | b'Simplify (s**(3/11)*s**(-19))/((s*s**(-1/3))/(s/s**(-22))) assuming s is positive.\n' | b's**(119/33)\n' | deepmind/math_dataset |
b'Simplify y**(-18)*y**(14/5)*y*(y/(y*y/(y*y/y**(1/43)*y)*y*y*y))/(y/(y**(2/7)*y)) assuming y is positive.\n' | b'y**(-22481/1505)\n' | b'Simplify y**(-18)*y**(14/5)*y*(y/(y*y/(y*y/y**(1/43)*y)*y*y*y))/(y/(y**(2/7)*y)) assuming y is positive.\n' | b'y**(-22481/1505)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ih when two letters picked without replacement from hxhfiifa.\n' | b'1/14\n' | b'Calculate prob of sequence ih when two letters picked without replacement from hxhfiifa.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (q**(-1/8)*q)/q**(-1/5)*q**(-6)*(q*q**(2/7))/q*(((q/((q/(q*q*q*q*q**(-3/2)))/q)*q)/q)**(-2/37))**27 assuming q is positive.\n' | b'q**(-100983/10360)\n' | b'Simplify (q**(-1/8)*q)/q**(-1/5)*q**(-6)*(q*q**(2/7))/q*(((q/((q/(q*q*q*q*q**(-3/2)))/q)*q)/q)**(-2/37))**27 assuming q is positive.\n' | b'q**(-100983/10360)\n' | deepmind/math_dataset |
b'Simplify (m**(-3/5)*m**(2/11))**(1/71)*(m**(-1/2))**35/(m*m**0*m**(-2/11)) assuming m is positive.\n' | b'm**(-143111/7810)\n' | b'Simplify (m**(-3/5)*m**(2/11))**(1/71)*(m**(-1/2))**35/(m*m**0*m**(-2/11)) assuming m is positive.\n' | b'm**(-143111/7810)\n' | deepmind/math_dataset |
b'Let z be 2/(24/9) - 10/(-8). Suppose -6*d - 8*d = -z*d. Let b(t) = 2*t. Determine b(d).\n' | b'0\n' | b'Let z be 2/(24/9) - 10/(-8). Suppose -6*d - 8*d = -z*d. Let b(t) = 2*t. Determine b(d).\n' | b'0\n' | deepmind/math_dataset |
b'Let u(m) = m**2 - 4*m - 32. Let v be 8/8 - (56/7 - 2). Calculate u(v).\n' | b'13\n' | b'Let u(m) = m**2 - 4*m - 32. Let v be 8/8 - (56/7 - 2). Calculate u(v).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (r*r**3/r)**(-2/17)*r**(2/17)/((r/((r/((r*(r/((r/((r**1/r)/r))/r))/r*r*r*r)/r)*r)/r))/r*r*r) assuming r is positive.\n' | b'r**(-55/17)\n' | b'Simplify (r*r**3/r)**(-2/17)*r**(2/17)/((r/((r/((r*(r/((r/((r**1/r)/r))/r))/r*r*r*r)/r)*r)/r))/r*r*r) assuming r is positive.\n' | b'r**(-55/17)\n' | deepmind/math_dataset |
b'Simplify (m**12*m*m**(-1/2)*m*m/(m**(4/11)*m)*m**24)**(5/2) assuming m is positive.\n' | b'm**(4085/44)\n' | b'Simplify (m**12*m*m**(-1/2)*m*m/(m**(4/11)*m)*m**24)**(5/2) assuming m is positive.\n' | b'm**(4085/44)\n' | deepmind/math_dataset |
b'What is prob of sequence yiz when three letters picked without replacement from {j: 3, z: 2, v: 6, i: 4, y: 1}?\n' | b'1/420\n' | b'What is prob of sequence yiz when three letters picked without replacement from {j: 3, z: 2, v: 6, i: 4, y: 1}?\n' | b'1/420\n' | deepmind/math_dataset |
b'Simplify (g/(g*g**(2/3)/g))**(-1/29)/((g/g**(-5))/(g**4*g)) assuming g is positive.\n' | b'g**(-88/87)\n' | b'Simplify (g/(g*g**(2/3)/g))**(-1/29)/((g/g**(-5))/(g**4*g)) assuming g is positive.\n' | b'g**(-88/87)\n' | deepmind/math_dataset |
b'Simplify (u*u*u*u**0)**(6/13)*u*u*u/(u/(u/u**(1/5))*u)*u**14 assuming u is positive.\n' | b'u**(1117/65)\n' | b'Simplify (u*u*u*u**0)**(6/13)*u*u*u/(u/(u/u**(1/5))*u)*u**14 assuming u is positive.\n' | b'u**(1117/65)\n' | deepmind/math_dataset |
b'Simplify (b**(-9)*b**(-1/4)*b)/(b**(-2/13))**(9/7) assuming b is positive.\n' | b'b**(-2931/364)\n' | b'Simplify (b**(-9)*b**(-1/4)*b)/(b**(-2/13))**(9/7) assuming b is positive.\n' | b'b**(-2931/364)\n' | deepmind/math_dataset |
b'Let m(k) = 23*k + 1. Let t(g) = -g. Suppose 0*d = -2*d. Suppose d*v - 6*v - 6 = 0. Let l(u) = v*m(u) - 5*t(u). Differentiate l(a) with respect to a.\n' | b'-18\n' | b'Let m(k) = 23*k + 1. Let t(g) = -g. Suppose 0*d = -2*d. Suppose d*v - 6*v - 6 = 0. Let l(u) = v*m(u) - 5*t(u). Differentiate l(a) with respect to a.\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose -2*b + 25 = 3*b. Let p(c) = 2*c - 1. What is p(b)?\n' | b'9\n' | b'Suppose -2*b + 25 = 3*b. Let p(c) = 2*c - 1. What is p(b)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify h*(h**28/h)/h*h/(h*h*h**(-2/43))*((h**(-2/9)*h)/h)/h**(-26) assuming h is positive.\n' | b'h**(20056/387)\n' | b'Simplify h*(h**28/h)/h*h/(h*h*h**(-2/43))*((h**(-2/9)*h)/h)/h**(-26) assuming h is positive.\n' | b'h**(20056/387)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 a when two letters picked without replacement from ukbbbbrbirarabbiubru.\n' | b'4/95\n' | b'Calculate prob of picking 1 r and 1 a when two letters picked without replacement from ukbbbbrbirarabbiubru.\n' | b'4/95\n' | deepmind/math_dataset |
b'Suppose 31 = -8*y + 127. Suppose -y*l = -3*l - 36. Let k(g) = -9*g - l*g + g - 1 + 2*g. What is k(2)?\n' | b'-21\n' | b'Suppose 31 = -8*y + 127. Suppose -y*l = -3*l - 36. Let k(g) = -9*g - l*g + g - 1 + 2*g. What is k(2)?\n' | b'-21\n' | deepmind/math_dataset |
b'Let b(p) be the second derivative of 0*p**5 - 4/15*p**6 + 0*p**4 + 8*p + 0*p**2 - 11/6*p**3 + 0. Find the second derivative of b(l) wrt l.\n' | b'-96*l**2\n' | b'Let b(p) be the second derivative of 0*p**5 - 4/15*p**6 + 0*p**4 + 8*p + 0*p**2 - 11/6*p**3 + 0. Find the second derivative of b(l) wrt l.\n' | b'-96*l**2\n' | deepmind/math_dataset |
b'Simplify (m**(-6)*(m/((m/m**(1/5))/m))/m)**(-18) assuming m is positive.\n' | b'm**(522/5)\n' | b'Simplify (m**(-6)*(m/((m/m**(1/5))/m))/m)**(-18) assuming m is positive.\n' | b'm**(522/5)\n' | deepmind/math_dataset |
b'Let x(b) = -b**3 + 8*b**2 + 2*b + 4. Let r be x(8). Let k be (-2)/(-5) + (-8)/r. Find the first derivative of k - 2*c**3 + 3 - c**3 wrt c.\n' | b'-9*c**2\n' | b'Let x(b) = -b**3 + 8*b**2 + 2*b + 4. Let r be x(8). Let k be (-2)/(-5) + (-8)/r. Find the first derivative of k - 2*c**3 + 3 - c**3 wrt c.\n' | b'-9*c**2\n' | deepmind/math_dataset |
b'Let j(y) be the first derivative of 1/4*y**4 + 4/3*y**3 + 1 + y + y**2. Let x be j(-3). Let f(h) = 2*h - 3. Give f(x).\n' | b'5\n' | b'Let j(y) be the first derivative of 1/4*y**4 + 4/3*y**3 + 1 + y + y**2. Let x be j(-3). Let f(h) = 2*h - 3. Give f(x).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 p when three letters picked without replacement from {g: 2, q: 1, p: 1, k: 1, a: 2, s: 1}?\n' | b'0\n' | b'What is prob of picking 2 k and 1 p when three letters picked without replacement from {g: 2, q: 1, p: 1, k: 1, a: 2, s: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify g*g/(g*g**(-3))*g/g**9 assuming g is positive.\n' | b'g**(-4)\n' | b'Simplify g*g/(g*g**(-3))*g/g**9 assuming g is positive.\n' | b'g**(-4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 10, r: 2, o: 4, t: 3}. What is prob of sequence tov?\n' | b'20/969\n' | b'Three letters picked without replacement from {v: 10, r: 2, o: 4, t: 3}. What is prob of sequence tov?\n' | b'20/969\n' | deepmind/math_dataset |
b'Let v = -224 - -229. Solve 5*g + 4*h = -20, h - 15 = v*g + 4*h for g.\n' | b'0\n' | b'Let v = -224 - -229. Solve 5*g + 4*h = -20, h - 15 = v*g + 4*h for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let m = -9 + 22. Solve 0 = -2*i - s - 7, -3*i - 5*s - 15 = m for i.\n' | b'-1\n' | b'Let m = -9 + 22. Solve 0 = -2*i - s - 7, -3*i - 5*s - 15 = m for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence tu when two letters picked without replacement from {u: 3, e: 6, t: 8}.\n' | b'3/34\n' | b'Calculate prob of sequence tu when two letters picked without replacement from {u: 3, e: 6, t: 8}.\n' | b'3/34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, h: 2, q: 1, j: 4, s: 1, x: 11}. Give prob of sequence xo.\n' | b'11/380\n' | b'Two letters picked without replacement from {o: 1, h: 2, q: 1, j: 4, s: 1, x: 11}. Give prob of sequence xo.\n' | b'11/380\n' | deepmind/math_dataset |
b'Let y(r) = 25*r**2 - 2*r - 62. Let z(b) = 46*b**2 - 4*b - 126. Let w(s) = 11*y(s) - 6*z(s). What is w(10)?\n' | b'-6\n' | b'Let y(r) = 25*r**2 - 2*r - 62. Let z(b) = 46*b**2 - 4*b - 126. Let w(s) = 11*y(s) - 6*z(s). What is w(10)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let r be (-55)/22*12/(-10). Solve 3*p - 3 = -i - 2*p, -r*i + 3*p = -9 for i.\n' | b'3\n' | b'Let r be (-55)/22*12/(-10). Solve 3*p - 3 = -i - 2*p, -r*i + 3*p = -9 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {j: 2, i: 2, r: 8, e: 7}.\n' | b'7/57\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {j: 2, i: 2, r: 8, e: 7}.\n' | b'7/57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fhhhhfhf. What is prob of picking 2 h and 1 f?\n' | b'15/28\n' | b'Three letters picked without replacement from fhhhhfhf. What is prob of picking 2 h and 1 f?\n' | b'15/28\n' | deepmind/math_dataset |
b'What is prob of sequence qb when two letters picked without replacement from {q: 1, w: 1, z: 2, i: 1, j: 2, b: 1}?\n' | b'1/56\n' | b'What is prob of sequence qb when two letters picked without replacement from {q: 1, w: 1, z: 2, i: 1, j: 2, b: 1}?\n' | b'1/56\n' | deepmind/math_dataset |
b'Suppose 0 = 5*x - x - 16. Suppose -33 = -t + 2*a - 5, 84 = 3*t + 4*a. Suppose 11*p - 7*p - t = 0. Solve 0*k + x*k + 13 = b, 3*b + 4*k = p for b.\n' | b'5\n' | b'Suppose 0 = 5*x - x - 16. Suppose -33 = -t + 2*a - 5, 84 = 3*t + 4*a. Suppose 11*p - 7*p - t = 0. Solve 0*k + x*k + 13 = b, 3*b + 4*k = p for b.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3*u + t - 7 = 0, 0*t - 12 = -5*u - 2*t. What is the derivative of -4 + 3*k**4 + k**4 + 3 - u wrt k?\n' | b'16*k**3\n' | b'Suppose 3*u + t - 7 = 0, 0*t - 12 = -5*u - 2*t. What is the derivative of -4 + 3*k**4 + k**4 + 3 - u wrt k?\n' | b'16*k**3\n' | deepmind/math_dataset |
b'Let l(p) = p + 2. Let a(f) = -58*f**3 - 17*f**2 - 3*f - 4. Let b(i) = a(i) + 2*l(i). Find the third derivative of b(o) wrt o.\n' | b'-348\n' | b'Let l(p) = p + 2. Let a(f) = -58*f**3 - 17*f**2 - 3*f - 4. Let b(i) = a(i) + 2*l(i). Find the third derivative of b(o) wrt o.\n' | b'-348\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, r: 4, y: 1, n: 3, q: 2, t: 1}. What is prob of picking 1 y, 1 g, and 2 n?\n' | b'1/165\n' | b'Four letters picked without replacement from {g: 1, r: 4, y: 1, n: 3, q: 2, t: 1}. What is prob of picking 1 y, 1 g, and 2 n?\n' | b'1/165\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 z when three letters picked without replacement from {s: 3, b: 6, z: 3, r: 1}?\n' | b'9/286\n' | b'What is prob of picking 2 s and 1 z when three letters picked without replacement from {s: 3, b: 6, z: 3, r: 1}?\n' | b'9/286\n' | deepmind/math_dataset |
b'Let z(n) be the first derivative of -1/3*n**3 + 1/20*n**5 + 2*n**2 - 1/6*n**4 - 15 - 14*n. Let l(x) be the first derivative of z(x). Determine l(3).\n' | b'7\n' | b'Let z(n) be the first derivative of -1/3*n**3 + 1/20*n**5 + 2*n**2 - 1/6*n**4 - 15 - 14*n. Let l(x) be the first derivative of z(x). Determine l(3).\n' | b'7\n' | deepmind/math_dataset |
b'Let n = 9970 + -9953. Solve 4*d + 0*g - n = -5*g, 3*g = d for d.\n' | b'3\n' | b'Let n = 9970 + -9953. Solve 4*d + 0*g - n = -5*g, 3*g = d for d.\n' | b'3\n' | deepmind/math_dataset |
b'Let j be 1 - (2 + 0 - 4). Suppose b + 5 = j*u + 5*b, -2*u - 2*b = -4. Let c be (4 + -1)/1 - 1. Solve -2*k + 8 = d, u*d + c*k = k - 1 for d.\n' | b'-2\n' | b'Let j be 1 - (2 + 0 - 4). Suppose b + 5 = j*u + 5*b, -2*u - 2*b = -4. Let c be (4 + -1)/1 - 1. Solve -2*k + 8 = d, u*d + c*k = k - 1 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(a) be the first derivative of -2*a**6/3 - 7*a**2 + 18. What is the second derivative of i(x) wrt x?\n' | b'-80*x**3\n' | b'Let i(a) be the first derivative of -2*a**6/3 - 7*a**2 + 18. What is the second derivative of i(x) wrt x?\n' | b'-80*x**3\n' | deepmind/math_dataset |
b'Suppose -d + 2 - 3 = 0, -5*v + 24 = -4*d. Suppose -v*j - 9 = -25. Solve 2*w + 2*l + 1 = 5*w, j*l = 4*w - 4 for w.\n' | b'-1\n' | b'Suppose -d + 2 - 3 = 0, -5*v + 24 = -4*d. Suppose -v*j - 9 = -25. Solve 2*w + 2*l + 1 = 5*w, j*l = 4*w - 4 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(m) be the third derivative of m**6/120 + m**5/10 + 5*m**4/24 - m**3/3 + 23*m**2. Suppose -4*s - s - 45 = 5*o, 0 = -2*o + 2*s + 2. Give v(o).\n' | b'10\n' | b'Let v(m) be the third derivative of m**6/120 + m**5/10 + 5*m**4/24 - m**3/3 + 23*m**2. Suppose -4*s - s - 45 = 5*o, 0 = -2*o + 2*s + 2. Give v(o).\n' | b'10\n' | deepmind/math_dataset |
b'Let w = -86 + 88. What is the derivative of -329*z**2 - 33*z**4 + 329*z**w - 57 wrt z?\n' | b'-132*z**3\n' | b'Let w = -86 + 88. What is the derivative of -329*z**2 - 33*z**4 + 329*z**w - 57 wrt z?\n' | b'-132*z**3\n' | deepmind/math_dataset |
b'Let r be 2 + 2 - (7 + 40). Let y = r - -102. Find the second derivative of -7*n - 7*n - y*n**3 + 61*n**3 wrt n.\n' | b'12*n\n' | b'Let r be 2 + 2 - (7 + 40). Let y = r - -102. Find the second derivative of -7*n - 7*n - y*n**3 + 61*n**3 wrt n.\n' | b'12*n\n' | deepmind/math_dataset |
b'Simplify (((u**(-1)*u)/u*u*u)/u)**41/(u**(2/5)*u*u**(-5)) assuming u is positive.\n' | b'u**(18/5)\n' | b'Simplify (((u**(-1)*u)/u*u*u)/u)**41/(u**(2/5)*u*u**(-5)) assuming u is positive.\n' | b'u**(18/5)\n' | deepmind/math_dataset |
b'Let q be (-72)/168*21 + 0 + 9. Let k(u) be the first derivative of 9 + 0*u**4 + 2/5*u**5 + q*u**2 + 0*u + 40/3*u**3. What is the third derivative of k(v) wrt v?\n' | b'48*v\n' | b'Let q be (-72)/168*21 + 0 + 9. Let k(u) be the first derivative of 9 + 0*u**4 + 2/5*u**5 + q*u**2 + 0*u + 40/3*u**3. What is the third derivative of k(v) wrt v?\n' | b'48*v\n' | deepmind/math_dataset |
b'Simplify ((t**(1/4)*t)**13*((t**10/t)/t)/(t*t*t**(-22)))**(-45) assuming t is positive.\n' | b't**(-7965/4)\n' | b'Simplify ((t**(1/4)*t)**13*((t**10/t)/t)/(t*t*t**(-22)))**(-45) assuming t is positive.\n' | b't**(-7965/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvpvppvvvvvv. What is prob of picking 2 v?\n' | b'6/11\n' | b'Two letters picked without replacement from vvpvppvvvvvv. What is prob of picking 2 v?\n' | b'6/11\n' | deepmind/math_dataset |
b'What is prob of sequence vrcv when four letters picked without replacement from {b: 1, w: 2, c: 2, v: 3, r: 6}?\n' | b'3/1001\n' | b'What is prob of sequence vrcv when four letters picked without replacement from {b: 1, w: 2, c: 2, v: 3, r: 6}?\n' | b'3/1001\n' | deepmind/math_dataset |
b'Let c = -19 + 23. What is the derivative of c - 8 - 9*d**3 + 8*d**3 wrt d?\n' | b'-3*d**2\n' | b'Let c = -19 + 23. What is the derivative of c - 8 - 9*d**3 + 8*d**3 wrt d?\n' | b'-3*d**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, y: 3}. Give prob of sequence jy.\n' | b'3/10\n' | b'Two letters picked without replacement from {j: 2, y: 3}. Give prob of sequence jy.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is the third derivative of -3 - 569*r**3 + 3 + 1570*r**3 + 4116*r**2 wrt r?\n' | b'6006\n' | b'What is the third derivative of -3 - 569*r**3 + 3 + 1570*r**3 + 4116*r**2 wrt r?\n' | b'6006\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 9, b: 1, k: 1}. Give prob of picking 2 s and 1 k.\n' | b'12/55\n' | b'Three letters picked without replacement from {s: 9, b: 1, k: 1}. Give prob of picking 2 s and 1 k.\n' | b'12/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uvuvykvzguuv. Give prob of sequence uyvv.\n' | b'2/495\n' | b'Four letters picked without replacement from uvuvykvzguuv. Give prob of sequence uyvv.\n' | b'2/495\n' | deepmind/math_dataset |
b'Let t = 208 + -203. Suppose 2*q = -3*q + 10. Suppose q*k - 9 = t*k. Let v(d) = 2*d**2 + 2*d - 4. What is v(k)?\n' | b'8\n' | b'Let t = 208 + -203. Suppose 2*q = -3*q + 10. Suppose q*k - 9 = t*k. Let v(d) = 2*d**2 + 2*d - 4. What is v(k)?\n' | b'8\n' | deepmind/math_dataset |
b'Let v = 152 + -142. Solve -2*c = c - d - v, d = -4*c + 4 for c.\n' | b'2\n' | b'Let v = 152 + -142. Solve -2*c = c - d - v, d = -4*c + 4 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify d**25*d*d/(d*d**(-16))*d*d*d**(2/59)/((d/d**10)/d) assuming d is positive.\n' | b'd**(3188/59)\n' | b'Simplify d**25*d*d/(d*d**(-16))*d*d*d**(2/59)/((d/d**10)/d) assuming d is positive.\n' | b'd**(3188/59)\n' | deepmind/math_dataset |
b'What is the third derivative of 7*m**3 + 6*m**2 - 6*m**3 + m**3 wrt m?\n' | b'12\n' | b'What is the third derivative of 7*m**3 + 6*m**2 - 6*m**3 + m**3 wrt m?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from otdtlot. Give prob of picking 1 o and 1 d.\n' | b'2/21\n' | b'Two letters picked without replacement from otdtlot. Give prob of picking 1 o and 1 d.\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, c: 5, l: 7, b: 2, o: 1}. What is prob of picking 2 c?\n' | b'1/12\n' | b'Two letters picked without replacement from {h: 1, c: 5, l: 7, b: 2, o: 1}. What is prob of picking 2 c?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let q(o) be the second derivative of 16*o**5/5 + 8*o**4/3 + 10*o - 4. What is the third derivative of q(h) wrt h?\n' | b'384\n' | b'Let q(o) be the second derivative of 16*o**5/5 + 8*o**4/3 + 10*o - 4. What is the third derivative of q(h) wrt h?\n' | b'384\n' | deepmind/math_dataset |
b'Let s = 36 + -29. Let f(a) = -a**2 - 8*a - 8. Let w be f(-6). Find the second derivative of -2*c + 8*c**w + 4*c**4 - s*c**4 wrt c.\n' | b'60*c**2\n' | b'Let s = 36 + -29. Let f(a) = -a**2 - 8*a - 8. Let w be f(-6). Find the second derivative of -2*c + 8*c**w + 4*c**4 - s*c**4 wrt c.\n' | b'60*c**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hlhumin. What is prob of picking 1 l and 1 u?\n' | b'1/21\n' | b'Two letters picked without replacement from hlhumin. What is prob of picking 1 l and 1 u?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbdfffbbeb. What is prob of sequence bf?\n' | b'1/6\n' | b'Two letters picked without replacement from bbdfffbbeb. What is prob of sequence bf?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 548 = 246*r - 209*r + 215. Solve r = -2*c - o, -3*o - 15 = 4*c - 4*o for c.\n' | b'-4\n' | b'Suppose 548 = 246*r - 209*r + 215. Solve r = -2*c - o, -3*o - 15 = 4*c - 4*o for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (f**18*f)/f**(-1) assuming f is positive.\n' | b'f**20\n' | b'Simplify (f**18*f)/f**(-1) assuming f is positive.\n' | b'f**20\n' | deepmind/math_dataset |
b'Let j be (-22)/(-44) + (-5)/(-2). Let p = j - 2. Solve w - p = -4*t + 16, 0 = 3*w - 4*t + 13 for w.\n' | b'1\n' | b'Let j be (-22)/(-44) + (-5)/(-2). Let p = j - 2. Solve w - p = -4*t + 16, 0 = 3*w - 4*t + 13 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (l*l**4*l*l/(l/(l/(l*l*l*l/(l**(-2)*l)))))/((l**(-1/6)/l)/((l**(-1/3)*l)/l))*(l*(l**0/l)/l*l*l*(l*l**6)/l)/(l**(-1))**6 assuming l is positive.\n' | b'l**(95/6)\n' | b'Simplify (l*l**4*l*l/(l/(l/(l*l*l*l/(l**(-2)*l)))))/((l**(-1/6)/l)/((l**(-1/3)*l)/l))*(l*(l**0/l)/l*l*l*(l*l**6)/l)/(l**(-1))**6 assuming l is positive.\n' | b'l**(95/6)\n' | deepmind/math_dataset |
b'Let n = -80 - -84. Solve 3*p - 25 = 4*z, 4*p + p + 1 = -n*z for z.\n' | b'-4\n' | b'Let n = -80 - -84. Solve 3*p - 25 = 4*z, 4*p + p + 1 = -n*z for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(m) = -m + 2. Suppose f - 9*f = 40. Give a(f).\n' | b'7\n' | b'Let a(m) = -m + 2. Suppose f - 9*f = 40. Give a(f).\n' | b'7\n' | deepmind/math_dataset |
b'Let x(c) = -c**3 + 20*c**2 - 42*c + 43. Let m(j) = j**2 - 9*j. Let o(y) = -6*m(y) + x(y). Calculate o(15).\n' | b'-2\n' | b'Let x(c) = -c**3 + 20*c**2 - 42*c + 43. Let m(j) = j**2 - 9*j. Let o(y) = -6*m(y) + x(y). Calculate o(15).\n' | b'-2\n' | deepmind/math_dataset |
b'Let o = 50 - 30. Let i = -15 + o. What is the second derivative of -3*s + 0*s**5 + s + s**5 + s**i wrt s?\n' | b'40*s**3\n' | b'Let o = 50 - 30. Let i = -15 + o. What is the second derivative of -3*s + 0*s**5 + s + s**5 + s**i wrt s?\n' | b'40*s**3\n' | deepmind/math_dataset |
b'Let j(z) be the second derivative of 23*z**5/20 - 7*z**4/6 - z**2 - 11*z - 1. Find the third derivative of j(t) wrt t.\n' | b'138\n' | b'Let j(z) be the second derivative of 23*z**5/20 - 7*z**4/6 - z**2 - 11*z - 1. Find the third derivative of j(t) wrt t.\n' | b'138\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dlldl. Give prob of sequence dl.\n' | b'3/10\n' | b'Two letters picked without replacement from dlldl. Give prob of sequence dl.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (q**6*q**(2/13)*((q/(q/(q**(1/12)/q)))/q)/q*q**(-4)*q)/(((q*q*q**(1/10)*q*q)/q*q*q*q**0)/(q**(1/4)*q)**30) assuming q is positive.\n' | b'q**(25457/780)\n' | b'Simplify (q**6*q**(2/13)*((q/(q/(q**(1/12)/q)))/q)/q*q**(-4)*q)/(((q*q*q**(1/10)*q*q)/q*q*q*q**0)/(q**(1/4)*q)**30) assuming q is positive.\n' | b'q**(25457/780)\n' | deepmind/math_dataset |
b'Simplify (o**(-14/5)*o/(o/((o/o**(-7/5))/o))*o)/(o*o*o**(-2))**(-11) assuming o is positive.\n' | b'o**(-2/5)\n' | b'Simplify (o**(-14/5)*o/(o/((o/o**(-7/5))/o))*o)/(o*o*o**(-2))**(-11) assuming o is positive.\n' | b'o**(-2/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, e: 1, v: 6, t: 1, l: 1, p: 3}. Give prob of sequence pel.\n' | b'1/572\n' | b'Three letters picked without replacement from {s: 1, e: 1, v: 6, t: 1, l: 1, p: 3}. Give prob of sequence pel.\n' | b'1/572\n' | deepmind/math_dataset |
b'Let a(f) = -2*f**2 + 7*f. Let v(w) = w**2 - 7*w. Let t(u) = 2*a(u) + 3*v(u). Let q be -5 + (-10 - (-30)/3). Determine t(q).\n' | b'10\n' | b'Let a(f) = -2*f**2 + 7*f. Let v(w) = w**2 - 7*w. Let t(u) = 2*a(u) + 3*v(u). Let q be -5 + (-10 - (-30)/3). Determine t(q).\n' | b'10\n' | deepmind/math_dataset |
b'Let k(u) = 11*u**3 + 27*u**2 + 21*u + 5. Let f(l) = -5*l**3 - 13*l**2 - 10*l - 2. Let p(y) = 9*f(y) + 4*k(y). Let v = -21329 - -21321. Calculate p(v).\n' | b'-14\n' | b'Let k(u) = 11*u**3 + 27*u**2 + 21*u + 5. Let f(l) = -5*l**3 - 13*l**2 - 10*l - 2. Let p(y) = 9*f(y) + 4*k(y). Let v = -21329 - -21321. Calculate p(v).\n' | b'-14\n' | deepmind/math_dataset |
b'Calculate prob of sequence ww when two letters picked without replacement from aaaaawaaaawaaaaaaw.\n' | b'1/51\n' | b'Calculate prob of sequence ww when two letters picked without replacement from aaaaawaaaawaaaaaaw.\n' | b'1/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 y when two letters picked without replacement from ybv.\n' | b'1/3\n' | b'Calculate prob of picking 1 v and 1 y when two letters picked without replacement from ybv.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 x when two letters picked without replacement from gmlgmhxlml.\n' | b'1/15\n' | b'Calculate prob of picking 1 m and 1 x when two letters picked without replacement from gmlgmhxlml.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let j = -658 + 658. Solve z + 10 = -2*l - j, 5*l = 4*z - 25 for l.\n' | b'-5\n' | b'Let j = -658 + 658. Solve z + 10 = -2*l - j, 5*l = 4*z - 25 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(f) = -f**3 + 3*f**2 - f + 1. Let r(p) = -1688*p**4 - p**3 + 3*p**2 - 518*p + 1. Let a(h) = k(h) - r(h). What is the second derivative of a(n) wrt n?\n' | b'20256*n**2\n' | b'Let k(f) = -f**3 + 3*f**2 - f + 1. Let r(p) = -1688*p**4 - p**3 + 3*p**2 - 518*p + 1. Let a(h) = k(h) - r(h). What is the second derivative of a(n) wrt n?\n' | b'20256*n**2\n' | deepmind/math_dataset |
b'Let y(w) be the first derivative of 907*w**2/2 + 8861*w - 9968. Differentiate y(g) with respect to g.\n' | b'907\n' | b'Let y(w) be the first derivative of 907*w**2/2 + 8861*w - 9968. Differentiate y(g) with respect to g.\n' | b'907\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 5, m: 3}. What is prob of picking 2 p and 2 m?\n' | b'3/7\n' | b'Four letters picked without replacement from {p: 5, m: 3}. What is prob of picking 2 p and 2 m?\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify (((l**0*l*l)/(l*(l/(l*l**(4/3)))/l))/(l*l/(l/(l/l**(1/4))*l*l))**44)**(1/3) assuming l is positive.\n' | b'l**(43/9)\n' | b'Simplify (((l**0*l*l)/(l*(l/(l*l**(4/3)))/l))/(l*l/(l/(l/l**(1/4))*l*l))**44)**(1/3) assuming l is positive.\n' | b'l**(43/9)\n' | deepmind/math_dataset |
b'Let l(n) = -n - 7. Let r be l(-11). Suppose g - 1 = b, -3*g = 2*g + r*b + 4. Solve 4*j = 4*u + 20, -4*j + 14 = -g*j + 2*u for j.\n' | b'4\n' | b'Let l(n) = -n - 7. Let r be l(-11). Suppose g - 1 = b, -3*g = 2*g + r*b + 4. Solve 4*j = 4*u + 20, -4*j + 14 = -g*j + 2*u for j.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 3 q when three letters picked without replacement from quqqquqqq?\n' | b'5/12\n' | b'What is prob of picking 3 q when three letters picked without replacement from quqqquqqq?\n' | b'5/12\n' | deepmind/math_dataset |
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