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 (w**2/(w**1*w))**(-45)/(((w*w/(w*w*w**(-2/5))*w*w)/(w*w**(-1/4)))/(w*w/(w/(w/(w/((w/w**(1/4)*w)/w))))*w*w*w/(w*w/w**(2/11))*w)) assuming w is positive.\n' | b'w**(251/110)\n' | b'Simplify (w**2/(w**1*w))**(-45)/(((w*w/(w*w*w**(-2/5))*w*w)/(w*w**(-1/4)))/(w*w/(w/(w/(w/((w/w**(1/4)*w)/w))))*w*w*w/(w*w/w**(2/11))*w)) assuming w is positive.\n' | b'w**(251/110)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {d: 4, s: 4, l: 1, f: 1}.\n' | b'16/45\n' | b'Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {d: 4, s: 4, l: 1, f: 1}.\n' | b'16/45\n' | deepmind/math_dataset |
b'Let n = 2 - -2. Suppose -d = n*d. Suppose -z = -d - 5. Solve -z*x - 4 = -4*y, 6*x - x + 12 = 2*y for y.\n' | b'-4\n' | b'Let n = 2 - -2. Suppose -d = n*d. Suppose -z = -d - 5. Solve -z*x - 4 = -4*y, 6*x - x + 12 = 2*y for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llfppzlzplll. What is prob of picking 1 z and 2 l?\n' | b'3/22\n' | b'Three letters picked without replacement from llfppzlzplll. What is prob of picking 1 z and 2 l?\n' | b'3/22\n' | deepmind/math_dataset |
b'Suppose -3060 = 1888*i - 1956*i. Solve -5*s - 4*b = 0, -5*s - 5*b - i = -10*b for s.\n' | b'-4\n' | b'Suppose -3060 = 1888*i - 1956*i. Solve -5*s - 4*b = 0, -5*s - 5*b - i = -10*b for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(q) be the second derivative of 799*q**6/30 + 523*q**4/12 + q - 23. What is the third derivative of u(n) wrt n?\n' | b'19176*n\n' | b'Let u(q) be the second derivative of 799*q**6/30 + 523*q**4/12 + q - 23. What is the third derivative of u(n) wrt n?\n' | b'19176*n\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, o: 3, m: 4, x: 4}. What is prob of sequence xow?\n' | b'3/182\n' | b'Three letters picked without replacement from {w: 3, o: 3, m: 4, x: 4}. What is prob of sequence xow?\n' | b'3/182\n' | deepmind/math_dataset |
b'Let d(g) = g**2 + 711*g - 2138. Let a be d(3). Solve 0 = -0*z - 5*z - 5*s + 20, -a*z - 3*s = -13 for z.\n' | b'1\n' | b'Let d(g) = g**2 + 711*g - 2138. Let a be d(3). Solve 0 = -0*z - 5*z - 5*s + 20, -a*z - 3*s = -13 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(n) = 2*n + 9. Suppose -9*z - 384 + 42 = 0. Let t be 19/z + (-60)/8. What is q(t)?\n' | b'-7\n' | b'Let q(n) = 2*n + 9. Suppose -9*z - 384 + 42 = 0. Let t be 19/z + (-60)/8. What is q(t)?\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence sx when two letters picked without replacement from {y: 2, p: 1, s: 3, x: 1}.\n' | b'1/14\n' | b'Calculate prob of sequence sx when two letters picked without replacement from {y: 2, p: 1, s: 3, x: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -2*d = -v + 4, -d + 14 = 5*v - 6. Solve -v*w + 3*o - 11 = 0, 13 = 3*o - 2 for w.\n' | b'1\n' | b'Suppose -2*d = -v + 4, -d + 14 = 5*v - 6. Solve -v*w + 3*o - 11 = 0, 13 = 3*o - 2 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((m/(m**(-17)*m))/((m**5*m)/m))/(((m*m*m**4)/m)/m)**(-11) assuming m is positive.\n' | b'm**56\n' | b'Simplify ((m/(m**(-17)*m))/((m**5*m)/m))/(((m*m*m**4)/m)/m)**(-11) assuming m is positive.\n' | b'm**56\n' | deepmind/math_dataset |
b'Let z(l) be the third derivative of l**5/12 - l**4/24 - l**3/6 - 2818*l**2. Let h(u) = -u**2 - 6*u + 6. Let b be h(-9). Let s be b/9 + 2/6. Determine z(s).\n' | b'21\n' | b'Let z(l) be the third derivative of l**5/12 - l**4/24 - l**3/6 - 2818*l**2. Let h(u) = -u**2 - 6*u + 6. Let b be h(-9). Let s be b/9 + 2/6. Determine z(s).\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (((u*u**(3/7)*u*u*u)/u)/(u*u**(16/9)*u)*(u/(u/(u*u**(-6/13))))**18)**(3/19) assuming u is positive.\n' | b'u**(7652/5187)\n' | b'Simplify (((u*u**(3/7)*u*u*u)/u)/(u*u**(16/9)*u)*(u/(u/(u*u**(-6/13))))**18)**(3/19) assuming u is positive.\n' | b'u**(7652/5187)\n' | deepmind/math_dataset |
b'Simplify m*m**(-5/12)*m**(-18)/m assuming m is positive.\n' | b'm**(-221/12)\n' | b'Simplify m*m**(-5/12)*m**(-18)/m assuming m is positive.\n' | b'm**(-221/12)\n' | deepmind/math_dataset |
b'Let q(f) = -f. Let o be q(-2). Let h(g) = g**2 - 15*g + 56. Let y be h(10). Let v(l) = -y*l**2 - 2*l**o - l - 1 + 7*l**2. What is v(-1)?\n' | b'-1\n' | b'Let q(f) = -f. Let o be q(-2). Let h(g) = g**2 - 15*g + 56. Let y be h(10). Let v(l) = -y*l**2 - 2*l**o - l - 1 + 7*l**2. What is v(-1)?\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vrrvvryvyvvyrrrwwy. What is prob of sequence rw?\n' | b'2/51\n' | b'Two letters picked without replacement from vrrvvryvyvvyrrrwwy. What is prob of sequence rw?\n' | b'2/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, y: 1, k: 4}. Give prob of sequence gg.\n' | b'1/21\n' | b'Two letters picked without replacement from {g: 2, y: 1, k: 4}. Give prob of sequence gg.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 1565 = 61*u - 14*u + 531. Suppose -5*d + 18 = -4*d. Solve -o + 4*q + d = 0, 0 = 3*o + 2*o - 3*q - u for o.\n' | b'2\n' | b'Suppose 1565 = 61*u - 14*u + 531. Suppose -5*d + 18 = -4*d. Solve -o + 4*q + d = 0, 0 = 3*o + 2*o - 3*q - u for o.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (g**(1/14)/(g**33/g*g))/(g**25/g**(18/13)) assuming g is positive.\n' | b'g**(-10291/182)\n' | b'Simplify (g**(1/14)/(g**33/g*g))/(g**25/g**(18/13)) assuming g is positive.\n' | b'g**(-10291/182)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {o: 2, c: 7, r: 1, s: 2, h: 1, z: 1}.\n' | b'1/182\n' | b'Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {o: 2, c: 7, r: 1, s: 2, h: 1, z: 1}.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let v = -19 + 13. Let p(n) = n**2 + 6*n. Determine p(v).\n' | b'0\n' | b'Let v = -19 + 13. Let p(n) = n**2 + 6*n. Determine p(v).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (m**6/m*(m**(-16)*m)/m)**(-45) assuming m is positive.\n' | b'm**495\n' | b'Simplify (m**6/m*(m**(-16)*m)/m)**(-45) assuming m is positive.\n' | b'm**495\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvuvvvvvvvvvv. Give prob of picking 2 v.\n' | b'11/13\n' | b'Two letters picked without replacement from vvuvvvvvvvvvv. Give prob of picking 2 v.\n' | b'11/13\n' | deepmind/math_dataset |
b'Let r be (-1)/4 - (-98)/8. Let m(g) = -57*g**3 + g. Let j be m(-1). Suppose x - j = -3*x. Solve -v - x = 5*c, 0 = 5*v - c + 6 + r for v.\n' | b'-4\n' | b'Let r be (-1)/4 - (-98)/8. Let m(g) = -57*g**3 + g. Let j be m(-1). Suppose x - j = -3*x. Solve -v - x = 5*c, 0 = 5*v - c + 6 + r for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from exc. Give prob of sequence cx.\n' | b'1/6\n' | b'Two letters picked without replacement from exc. Give prob of sequence cx.\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from xxxyyyyxxxxyxxxyxx.\n' | b'11/68\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from xxxyyyyxxxxyxxxyxx.\n' | b'11/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 w when two letters picked without replacement from wqwqmmmwmak.\n' | b'12/55\n' | b'Calculate prob of picking 1 m and 1 w when two letters picked without replacement from wqwqmmmwmak.\n' | b'12/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, m: 2}.\n' | b'2/5\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, m: 2}.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (d**(-15)*d**1)/(d/(d**(-5/6)/d))**42 assuming d is positive.\n' | b'd**(-133)\n' | b'Simplify (d**(-15)*d**1)/(d/(d**(-5/6)/d))**42 assuming d is positive.\n' | b'd**(-133)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 1 m, and 2 f when four letters picked without replacement from ffmjffsmjjjsffsfmmf?\n' | b'28/323\n' | b'What is prob of picking 1 s, 1 m, and 2 f when four letters picked without replacement from ffmjffsmjjjsffsfmmf?\n' | b'28/323\n' | deepmind/math_dataset |
b'Suppose 40 - 34 = 2*g. Let h(y) = -13 - 2*y + g*y + 11. Give h(5).\n' | b'3\n' | b'Suppose 40 - 34 = 2*g. Let h(y) = -13 - 2*y + g*y + 11. Give h(5).\n' | b'3\n' | deepmind/math_dataset |
b'Let w = 21 - 11. Let r(u) = u**2 - 10*u + 3. Let y be r(w). What is the third derivative of 0*g**y - 3*g**2 + 2*g**3 + 2*g**2 wrt g?\n' | b'12\n' | b'Let w = 21 - 11. Let r(u) = u**2 - 10*u + 3. Let y be r(w). What is the third derivative of 0*g**y - 3*g**2 + 2*g**3 + 2*g**2 wrt g?\n' | b'12\n' | deepmind/math_dataset |
b'Let i(d) be the first derivative of 2*d**3 + d**2 + 61. What is the second derivative of i(x) wrt x?\n' | b'12\n' | b'Let i(d) be the first derivative of 2*d**3 + d**2 + 61. What is the second derivative of i(x) wrt x?\n' | b'12\n' | deepmind/math_dataset |
b'Let r(h) = h**2 - 2*h - 4. Let o be 2*(-15)/(-6)*(-8)/(-10). Give r(o).\n' | b'4\n' | b'Let r(h) = h**2 - 2*h - 4. Let o be 2*(-15)/(-6)*(-8)/(-10). Give r(o).\n' | b'4\n' | deepmind/math_dataset |
b'Let k(v) be the third derivative of -1451*v**7/210 - v**4/12 + 5845*v**3/6 + 2*v**2 - 5555*v. Find the second derivative of k(f) wrt f.\n' | b'-17412*f**2\n' | b'Let k(v) be the third derivative of -1451*v**7/210 - v**4/12 + 5845*v**3/6 + 2*v**2 - 5555*v. Find the second derivative of k(f) wrt f.\n' | b'-17412*f**2\n' | deepmind/math_dataset |
b'Let v(u) = 3*u**3 + u**2 + 3*u + 2. Let z be v(-2). Let c = z + 28. Suppose -c*f = -15 - 5. Solve 7 = 4*y - 2*r + f*r, -r = -4*y + 3 for y.\n' | b'1\n' | b'Let v(u) = 3*u**3 + u**2 + 3*u + 2. Let z be v(-2). Let c = z + 28. Suppose -c*f = -15 - 5. Solve 7 = 4*y - 2*r + f*r, -r = -4*y + 3 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let g = 0 + 4. What is the derivative of -4 - 14*z**4 + g - 6 - 9 wrt z?\n' | b'-56*z**3\n' | b'Let g = 0 + 4. What is the derivative of -4 - 14*z**4 + g - 6 - 9 wrt z?\n' | b'-56*z**3\n' | deepmind/math_dataset |
b'Simplify (p*p**13)**1 assuming p is positive.\n' | b'p**14\n' | b'Simplify (p*p**13)**1 assuming p is positive.\n' | b'p**14\n' | deepmind/math_dataset |
b'Let z(o) = -16*o**3 + o**2 - 3*o. Let n(q) = -15*q**3 + q**2 - 4*q. Let j(m) = 3*n(m) - 4*z(m). What is j(1)?\n' | b'18\n' | b'Let z(o) = -16*o**3 + o**2 - 3*o. Let n(q) = -15*q**3 + q**2 - 4*q. Let j(m) = 3*n(m) - 4*z(m). What is j(1)?\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 l when two letters picked without replacement from livivviil.\n' | b'2/9\n' | b'Calculate prob of picking 1 i and 1 l when two letters picked without replacement from livivviil.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let q(z) = z**3 + 11*z**2 - 2*z - 16. Suppose 0 = -17*l + 23*l - 12. Suppose l*u = -85 + 63. Calculate q(u).\n' | b'6\n' | b'Let q(z) = z**3 + 11*z**2 - 2*z - 16. Suppose 0 = -17*l + 23*l - 12. Suppose l*u = -85 + 63. Calculate q(u).\n' | b'6\n' | deepmind/math_dataset |
b'Let f = -20 + 24. Let m be (f/14)/((-6)/(-84)). Solve -m*n + 9*n - 9 = -2*j, 0 = j + 5*n - 12 for j.\n' | b'-3\n' | b'Let f = -20 + 24. Let m be (f/14)/((-6)/(-84)). Solve -m*n + 9*n - 9 = -2*j, 0 = j + 5*n - 12 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (s**(-10)*s*s**(-13))/(s**(-2)/s**(3/16)) assuming s is positive.\n' | b's**(-317/16)\n' | b'Simplify (s**(-10)*s*s**(-13))/(s**(-2)/s**(3/16)) assuming s is positive.\n' | b's**(-317/16)\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from vvveeaavveeavae?\n' | b'1/7\n' | b'What is prob of sequence vv when two letters picked without replacement from vvveeaavveeavae?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 g when three letters picked without replacement from hkhhhhhhkphppphghhhg.\n' | b'11/95\n' | b'Calculate prob of picking 2 h and 1 g when three letters picked without replacement from hkhhhhhhkphppphghhhg.\n' | b'11/95\n' | deepmind/math_dataset |
b'Let n(y) = -2*y**3 - y**2 + 3*y + 2. Let s be (-14)/8 + 22/(-88). Give n(s).\n' | b'8\n' | b'Let n(y) = -2*y**3 - y**2 + 3*y + 2. Let s be (-14)/8 + 22/(-88). Give n(s).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 2 f, and 1 q when four letters picked without replacement from {f: 2, q: 3, c: 1, u: 6}.\n' | b'1/165\n' | b'Calculate prob of picking 1 c, 2 f, and 1 q when four letters picked without replacement from {f: 2, q: 3, c: 1, u: 6}.\n' | b'1/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, g: 2, w: 1, o: 1, h: 2, v: 1}. What is prob of sequence gnv?\n' | b'1/168\n' | b'Three letters picked without replacement from {n: 1, g: 2, w: 1, o: 1, h: 2, v: 1}. What is prob of sequence gnv?\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose -7*w = -2*w. Let r be (w/3)/(-2 + 0). Solve r = -3*h - 2*d + 6, 3*d = -4*h + d + 6 for h.\n' | b'0\n' | b'Suppose -7*w = -2*w. Let r be (w/3)/(-2 + 0). Solve r = -3*h - 2*d + 6, 3*d = -4*h + d + 6 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 3, z: 5}. What is prob of sequence czcz?\n' | b'1/14\n' | b'Four letters picked without replacement from {c: 3, z: 5}. What is prob of sequence czcz?\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 k, and 1 i when three letters picked without replacement from ookikiisiokiif?\n' | b'9/182\n' | b'What is prob of picking 1 f, 1 k, and 1 i when three letters picked without replacement from ookikiisiokiif?\n' | b'9/182\n' | deepmind/math_dataset |
b'Let c be ((-16)/6)/(8/(-12)). Suppose -2*a = -3*j + c, j - 4 = -a - 1. Solve -g - 1 = -5*v + 6, -2*g + a = 5*v for g.\n' | b'-2\n' | b'Let c be ((-16)/6)/(8/(-12)). Suppose -2*a = -3*j + c, j - 4 = -a - 1. Solve -g - 1 = -5*v + 6, -2*g + a = 5*v for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((b/b**1)/b)**(-13)*(b*b**1)**(-3/16) assuming b is positive.\n' | b'b**(101/8)\n' | b'Simplify ((b/b**1)/b)**(-13)*(b*b**1)**(-3/16) assuming b is positive.\n' | b'b**(101/8)\n' | deepmind/math_dataset |
b'What is prob of sequence iii when three letters picked without replacement from {x: 3, i: 9}?\n' | b'21/55\n' | b'What is prob of sequence iii when three letters picked without replacement from {x: 3, i: 9}?\n' | b'21/55\n' | deepmind/math_dataset |
b'Let v be ((-162)/(-24) + -5)/((-2)/(-8)). Let x(f) = v*f**2 + 8667*f + f**3 + 4 - 8667*f. Calculate x(-7).\n' | b'4\n' | b'Let v be ((-162)/(-24) + -5)/((-2)/(-8)). Let x(f) = v*f**2 + 8667*f + f**3 + 4 - 8667*f. Calculate x(-7).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 m and 2 b when four letters picked without replacement from {m: 3, b: 9}?\n' | b'12/55\n' | b'What is prob of picking 2 m and 2 b when four letters picked without replacement from {m: 3, b: 9}?\n' | b'12/55\n' | deepmind/math_dataset |
b'Let q(s) = 4*s + 3. Let m(o) = o. Let p be m(2). Let a be p/(-3) - 8/6. Let x(g) = -5*g - 4. Let f(u) = a*x(u) - 3*q(u). What is the derivative of f(h) wrt h?\n' | b'-2\n' | b'Let q(s) = 4*s + 3. Let m(o) = o. Let p be m(2). Let a be p/(-3) - 8/6. Let x(g) = -5*g - 4. Let f(u) = a*x(u) - 3*q(u). What is the derivative of f(h) wrt h?\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(r) = 2*r**3 + r**2 - r + 2. Suppose 5*d + 17 = -13. Let p be 16/d - (-54)/81. Calculate o(p).\n' | b'-8\n' | b'Let o(r) = 2*r**3 + r**2 - r + 2. Suppose 5*d + 17 = -13. Let p be 16/d - (-54)/81. Calculate o(p).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (((p**(-18/7)/p)/(p/p**(-1)))/(p*p**(-9))**2)**(2/29) assuming p is positive.\n' | b'p**(146/203)\n' | b'Simplify (((p**(-18/7)/p)/(p/p**(-1)))/(p*p**(-9))**2)**(2/29) assuming p is positive.\n' | b'p**(146/203)\n' | deepmind/math_dataset |
b'What is prob of sequence pf when two letters picked without replacement from {f: 2, k: 8, o: 3, p: 3}?\n' | b'1/40\n' | b'What is prob of sequence pf when two letters picked without replacement from {f: 2, k: 8, o: 3, p: 3}?\n' | b'1/40\n' | deepmind/math_dataset |
b'Let h be 0*5/20*-1. Suppose h = -11*s + 6*s + 15. Solve -r - 9 = -5*o + 10, -s*r = -o + 1 for r.\n' | b'1\n' | b'Let h be 0*5/20*-1. Suppose h = -11*s + 6*s + 15. Solve -r - 9 = -5*o + 10, -s*r = -o + 1 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(q) = 991*q**2 - 33*q + 10105. Let c(w) = -124*w**2 + 4*w - 1264. Let k(n) = -17*c(n) - 2*v(n). Find the first derivative of k(i) wrt i.\n' | b'252*i - 2\n' | b'Let v(q) = 991*q**2 - 33*q + 10105. Let c(w) = -124*w**2 + 4*w - 1264. Let k(n) = -17*c(n) - 2*v(n). Find the first derivative of k(i) wrt i.\n' | b'252*i - 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ea when two letters picked without replacement from aeyeeayyee.\n' | b'1/9\n' | b'Calculate prob of sequence ea when two letters picked without replacement from aeyeeayyee.\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify a**(1/24)*a/(a/a**(2/35))*a**(-5/7)/(a/a**(3/7)) assuming a is positive.\n' | b'a**(-997/840)\n' | b'Simplify a**(1/24)*a/(a/a**(2/35))*a**(-5/7)/(a/a**(3/7)) assuming a is positive.\n' | b'a**(-997/840)\n' | deepmind/math_dataset |
b'Let c(j) = j**2 - 7*j + 5. Suppose 35 = 11*b - 6*b. What is c(b)?\n' | b'5\n' | b'Let c(j) = j**2 - 7*j + 5. Suppose 35 = 11*b - 6*b. What is c(b)?\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, o: 3, f: 3, x: 3}. What is prob of picking 2 x?\n' | b'1/15\n' | b'Two letters picked without replacement from {v: 1, o: 3, f: 3, x: 3}. What is prob of picking 2 x?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 w when two letters picked without replacement from bkllwuuuwlbluuwwu?\n' | b'1/34\n' | b'What is prob of picking 1 k and 1 w when two letters picked without replacement from bkllwuuuwlbluuwwu?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let a = -22 + 27. Let j(h) be the third derivative of 1/210*h**7 + 2*h**2 + 0*h**4 + 0*h**6 + 0*h**a - 1/3*h**3 + 0 + 0*h. Differentiate j(r) wrt r.\n' | b'4*r**3\n' | b'Let a = -22 + 27. Let j(h) be the third derivative of 1/210*h**7 + 2*h**2 + 0*h**4 + 0*h**6 + 0*h**a - 1/3*h**3 + 0 + 0*h. Differentiate j(r) wrt r.\n' | b'4*r**3\n' | deepmind/math_dataset |
b'Simplify (j**(-3/16)/j)**45*((j/(j*j*j/(j*j*j**(-5)*j*j*j))*j)/j)**37 assuming j is positive.\n' | b'j**(-2039/16)\n' | b'Simplify (j**(-3/16)/j)**45*((j/(j*j*j/(j*j*j**(-5)*j*j*j))*j)/j)**37 assuming j is positive.\n' | b'j**(-2039/16)\n' | deepmind/math_dataset |
b'Let m(f) = f**2 - 3*f - 5. Let j be m(-4). Suppose j = 8*y - 1. Solve y*i + 8 = 2*t - 3*t, 12 = 2*i + 5*t for i.\n' | b'-4\n' | b'Let m(f) = f**2 - 3*f - 5. Let j be m(-4). Suppose j = 8*y - 1. Solve y*i + 8 = 2*t - 3*t, 12 = 2*i + 5*t for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = 2*f + f + 15. Let k(z) = -z**3 - 5*z**2 - 2*z - 5. Let v be k(f). Solve h + 2 + 1 = -2*c, -v*c - 20 = 0 for h.\n' | b'5\n' | b'Suppose 0 = 2*f + f + 15. Let k(z) = -z**3 - 5*z**2 - 2*z - 5. Let v be k(f). Solve h + 2 + 1 = -2*c, -v*c - 20 = 0 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Let q = 11 - 17. Let z be (-2)/q - (-15)/9. What is the third derivative of -y**z + y**3 - y**2 + y**2 wrt y?\n' | b'6\n' | b'Let q = 11 - 17. Let z be (-2)/q - (-15)/9. What is the third derivative of -y**z + y**3 - y**2 + y**2 wrt y?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify j**31*j/(j**(1/63)/j) assuming j is positive.\n' | b'j**(2078/63)\n' | b'Simplify j**31*j/(j**(1/63)/j) assuming j is positive.\n' | b'j**(2078/63)\n' | deepmind/math_dataset |
b'Simplify (u**(1/4))**(-1/43)/(u**(-3)*u**(1/3))*(u**(2/5))**(2/5)*u**(-1/5)*u/(u/u**(1/11))*u*u*u assuming u is positive.\n' | b'u**(810499/141900)\n' | b'Simplify (u**(1/4))**(-1/43)/(u**(-3)*u**(1/3))*(u**(2/5))**(2/5)*u**(-1/5)*u/(u/u**(1/11))*u*u*u assuming u is positive.\n' | b'u**(810499/141900)\n' | deepmind/math_dataset |
b'Let b(y) be the first derivative of 283*y**5/5 + 497*y**3/3 + 529. Find the third derivative of b(k) wrt k.\n' | b'6792*k\n' | b'Let b(y) be the first derivative of 283*y**5/5 + 497*y**3/3 + 529. Find the third derivative of b(k) wrt k.\n' | b'6792*k\n' | deepmind/math_dataset |
b'Calculate prob of sequence ytzp when four letters picked without replacement from ttjtyyytptpttzyj.\n' | b'1/780\n' | b'Calculate prob of sequence ytzp when four letters picked without replacement from ttjtyyytptpttzyj.\n' | b'1/780\n' | deepmind/math_dataset |
b'Simplify ((q**0*q)**(2/83)*q**(2/3)/(q*q**(-2/11)*q))**(6/31) assuming q is positive.\n' | b'q**(-6176/28303)\n' | b'Simplify ((q**0*q)**(2/83)*q**(2/3)/(q*q**(-2/11)*q))**(6/31) assuming q is positive.\n' | b'q**(-6176/28303)\n' | deepmind/math_dataset |
b'What is the first derivative of -390*p**3 - 816*p**3 - 132*p**2 - 47*p**2 + 179*p**2 - 2650 wrt p?\n' | b'-3618*p**2\n' | b'What is the first derivative of -390*p**3 - 816*p**3 - 132*p**2 - 47*p**2 + 179*p**2 - 2650 wrt p?\n' | b'-3618*p**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, g: 3, n: 3, u: 4}. Give prob of sequence guau.\n' | b'6/1001\n' | b'Four letters picked without replacement from {a: 4, g: 3, n: 3, u: 4}. Give prob of sequence guau.\n' | b'6/1001\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 2 f, and 1 a when four letters picked without replacement from vafffsfs.\n' | b'3/35\n' | b'Calculate prob of picking 1 v, 2 f, and 1 a when four letters picked without replacement from vafffsfs.\n' | b'3/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 6, j: 1, c: 2, v: 9}. What is prob of sequence cv?\n' | b'1/17\n' | b'Two letters picked without replacement from {q: 6, j: 1, c: 2, v: 9}. What is prob of sequence cv?\n' | b'1/17\n' | deepmind/math_dataset |
b'Let a(u) = -u**3 - u**2 + u + 31. Suppose -4 = -3*f - m, -5*f + 0*m = -2*m + 8. Let p be a(f). Solve -5*q - p = 3*l, 3*l = -2*q - 3 - 13 for l.\n' | b'-2\n' | b'Let a(u) = -u**3 - u**2 + u + 31. Suppose -4 = -3*f - m, -5*f + 0*m = -2*m + 8. Let p be a(f). Solve -5*q - p = 3*l, 3*l = -2*q - 3 - 13 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence yf when two letters picked without replacement from nfoyf?\n' | b'1/10\n' | b'What is prob of sequence yf when two letters picked without replacement from nfoyf?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q be (-10)/40 - (-74)/8. Suppose 4*z - 390 = -q*z. Suppose 12*p - 6*p - z = 0. Solve 5*m = 0, -m - 2*m + 15 = -p*y for y.\n' | b'-3\n' | b'Let q be (-10)/40 - (-74)/8. Suppose 4*z - 390 = -q*z. Suppose 12*p - 6*p - z = 0. Solve 5*m = 0, -m - 2*m + 15 = -p*y for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence eg when two letters picked without replacement from ddgddeddggddddqe.\n' | b'1/40\n' | b'Calculate prob of sequence eg when two letters picked without replacement from ddgddeddggddddqe.\n' | b'1/40\n' | deepmind/math_dataset |
b'What is the third derivative of -33*y**4 - 403*y**2 - 97*y**2 - 282*y**2 + 6*y**5 + 177*y**2 wrt y?\n' | b'360*y**2 - 792*y\n' | b'What is the third derivative of -33*y**4 - 403*y**2 - 97*y**2 - 282*y**2 + 6*y**5 + 177*y**2 wrt y?\n' | b'360*y**2 - 792*y\n' | deepmind/math_dataset |
b'Simplify ((t/((t*(t/(t**(2/3)/t))/t)/t))**(-14)*(t*(t*t*t**0/t*t*t)/t)**(-6/7))/((t**(-3)/(t**(-2/3)*t))/(t**5*t*(t*t*t/t**(-1)*t)/t)) assuming t is positive.\n' | b't**(10/7)\n' | b'Simplify ((t/((t*(t/(t**(2/3)/t))/t)/t))**(-14)*(t*(t*t*t**0/t*t*t)/t)**(-6/7))/((t**(-3)/(t**(-2/3)*t))/(t**5*t*(t*t*t/t**(-1)*t)/t)) assuming t is positive.\n' | b't**(10/7)\n' | deepmind/math_dataset |
b'Let y(m) = -m. Let z(j) = j**2 + 3*j - 5. Let o be z(-3). Let r(f) = -f**2 - 8*f - 12. Let l be r(o). Give y(l).\n' | b'-3\n' | b'Let y(m) = -m. Let z(j) = j**2 + 3*j - 5. Let o be z(-3). Let r(f) = -f**2 - 8*f - 12. Let l be r(o). Give y(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nlnlmnnmnnnmddd. What is prob of sequence mldn?\n' | b'1/260\n' | b'Four letters picked without replacement from nlnlmnnmnnnmddd. What is prob of sequence mldn?\n' | b'1/260\n' | deepmind/math_dataset |
b'Let b(s) be the second derivative of s**3 + 38*s**2 + 3293*s. What is b(-18)?\n' | b'-32\n' | b'Let b(s) be the second derivative of s**3 + 38*s**2 + 3293*s. What is b(-18)?\n' | b'-32\n' | deepmind/math_dataset |
b'Suppose 3*y = 7*y - 16. Suppose 5*o - 190 = -y*b, 6*o + 2*b = 9*o - 114. Find the second derivative of -6*d**4 - 79*d**4 + 42*d + o*d**4 wrt d.\n' | b'-564*d**2\n' | b'Suppose 3*y = 7*y - 16. Suppose 5*o - 190 = -y*b, 6*o + 2*b = 9*o - 114. Find the second derivative of -6*d**4 - 79*d**4 + 42*d + o*d**4 wrt d.\n' | b'-564*d**2\n' | deepmind/math_dataset |
b'Simplify ((u**(-22)*u)/((u*u**(-5/4)*u*u)/u))/(u/(u/(u**(-4/3)*u)))**(-13) assuming u is positive.\n' | b'u**(-313/12)\n' | b'Simplify ((u**(-22)*u)/((u*u**(-5/4)*u*u)/u))/(u/(u/(u**(-4/3)*u)))**(-13) assuming u is positive.\n' | b'u**(-313/12)\n' | deepmind/math_dataset |
b'Let h(b) = -8*b - 65. Let t be h(-10). Solve -2*i + 0 = -j + 5, 3*j + 4*i + t = 0 for j.\n' | b'-1\n' | b'Let h(b) = -8*b - 65. Let t be h(-10). Solve -2*i + 0 = -j + 5, 3*j + 4*i + t = 0 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'What is the second derivative of -2*j + 2*j**3 + 5*j - 7*j**3 - j wrt j?\n' | b'-30*j\n' | b'What is the second derivative of -2*j + 2*j**3 + 5*j - 7*j**3 - j wrt j?\n' | b'-30*j\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 w when three letters picked without replacement from wqwwqewbwqq.\n' | b'8/33\n' | b'Calculate prob of picking 1 q and 2 w when three letters picked without replacement from wqwwqewbwqq.\n' | b'8/33\n' | deepmind/math_dataset |
b'Let x(o) = 37*o - 23. Let c be x(11). Let d be (-6)/(-39) - c/(-39). Solve f - 3 = 2*k, -4*k + f - 1 - d = 0 for k.\n' | b'-4\n' | b'Let x(o) = 37*o - 23. Let c be x(11). Let d be (-6)/(-39) - c/(-39). Solve f - 3 = 2*k, -4*k + f - 1 - d = 0 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((r**(1/6)/r)/r*r**(-1/5))**(-1/31)/(r**(-4)*(r/((r/r**(-2/15))/r))/r*r*(r**5/r)/(r*(r**(-3/8)/r)/r)) assuming r is positive.\n' | b'r**(-1619/744)\n' | b'Simplify ((r**(1/6)/r)/r*r**(-1/5))**(-1/31)/(r**(-4)*(r/((r/r**(-2/15))/r))/r*r*(r**5/r)/(r*(r**(-3/8)/r)/r)) assuming r is positive.\n' | b'r**(-1619/744)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bb when two letters picked without replacement from {f: 9, b: 2}.\n' | b'1/55\n' | b'Calculate prob of sequence bb when two letters picked without replacement from {f: 9, b: 2}.\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 s, and 1 b when three letters picked without replacement from cscccbslccl?\n' | b'4/165\n' | b'What is prob of picking 1 l, 1 s, and 1 b when three letters picked without replacement from cscccbslccl?\n' | b'4/165\n' | deepmind/math_dataset |
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