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'Calculate prob of picking 1 i, 1 s, 1 c, and 1 t when four letters picked without replacement from {q: 3, c: 4, t: 5, o: 4, i: 1, s: 1}.\n' | b'1/153\n' | b'Calculate prob of picking 1 i, 1 s, 1 c, and 1 t when four letters picked without replacement from {q: 3, c: 4, t: 5, o: 4, i: 1, s: 1}.\n' | b'1/153\n' | deepmind/math_dataset |
b'Suppose -j + 3*l + 12 = 0, -2*l = 4*j + 10 - 2. Suppose 5*u + j*u = 3*i + 28, -5*u + 29 = -4*i. Solve 12 = k + 2*v - 3, -v = u*k - 30 for k.\n' | b'5\n' | b'Suppose -j + 3*l + 12 = 0, -2*l = 4*j + 10 - 2. Suppose 5*u + j*u = 3*i + 28, -5*u + 29 = -4*i. Solve 12 = k + 2*v - 3, -v = u*k - 30 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(v) be the first derivative of v**9/126 + v**5/15 + 2*v**2 - 2. Let c(d) be the second derivative of k(d). Find the third derivative of c(z) wrt z.\n' | b'480*z**3\n' | b'Let k(v) be the first derivative of v**9/126 + v**5/15 + 2*v**2 - 2. Let c(d) be the second derivative of k(d). Find the third derivative of c(z) wrt z.\n' | b'480*z**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 e, and 1 q when three letters picked without replacement from jwqeh?\n' | b'1/10\n' | b'What is prob of picking 1 h, 1 e, and 1 q when three letters picked without replacement from jwqeh?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence vh when two letters picked without replacement from {h: 4, v: 2, u: 2}.\n' | b'1/7\n' | b'Calculate prob of sequence vh when two letters picked without replacement from {h: 4, v: 2, u: 2}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, f: 3, r: 1, y: 1, w: 3, p: 3}. Give prob of sequence wyxp.\n' | b'1/910\n' | b'Four letters picked without replacement from {x: 4, f: 3, r: 1, y: 1, w: 3, p: 3}. Give prob of sequence wyxp.\n' | b'1/910\n' | deepmind/math_dataset |
b'What is prob of sequence nd when two letters picked without replacement from fdfnnvn?\n' | b'1/14\n' | b'What is prob of sequence nd when two letters picked without replacement from fdfnnvn?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 5*p - 23 = 22. Suppose 0 = -2*o - p + 11. Solve 2*z + o = -i + 6*z, z = 1 for i.\n' | b'3\n' | b'Suppose 5*p - 23 = 22. Suppose 0 = -2*o - p + 11. Solve 2*z + o = -i + 6*z, z = 1 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let i(j) = j**3 + 3*j**2 + 3*j + 2. Suppose 0*b + 4*b = 5*h + 3, -5*b = 2*h + 21. Give i(h).\n' | b'-7\n' | b'Let i(j) = j**3 + 3*j**2 + 3*j + 2. Suppose 0*b + 4*b = 5*h + 3, -5*b = 2*h + 21. Give i(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Differentiate 2 + 3*g**3 - 3 + 0 + 4 wrt g.\n' | b'9*g**2\n' | b'Differentiate 2 + 3*g**3 - 3 + 0 + 4 wrt g.\n' | b'9*g**2\n' | deepmind/math_dataset |
b'Simplify ((c*c**(-11))/c*c/((c**2/c)/c))**9 assuming c is positive.\n' | b'c**(-90)\n' | b'Simplify ((c*c**(-11))/c*c/((c**2/c)/c))**9 assuming c is positive.\n' | b'c**(-90)\n' | deepmind/math_dataset |
b'Let n(w) be the second derivative of w**5/20 + w**4/3 - w**3/6 - w**2 + w. Let k(g) = 33*g. Let h be k(-1). Let t be (-3 - h/15)*5. Calculate n(t).\n' | b'2\n' | b'Let n(w) be the second derivative of w**5/20 + w**4/3 - w**3/6 - w**2 + w. Let k(g) = 33*g. Let h be k(-1). Let t be (-3 - h/15)*5. Calculate n(t).\n' | b'2\n' | deepmind/math_dataset |
b'Let w be ((-6)/9)/(8/(-6))*0. Suppose 6*t + w*t = 2*t. Suppose 2*v + 3*m = 5*v - 3, -5*m = -3*v - 7. Solve 3*j - h - 12 = t, -2*h + v + 0 = 4*j for j.\n' | b'3\n' | b'Let w be ((-6)/9)/(8/(-6))*0. Suppose 6*t + w*t = 2*t. Suppose 2*v + 3*m = 5*v - 3, -5*m = -3*v - 7. Solve 3*j - h - 12 = t, -2*h + v + 0 = 4*j for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let h be -15 + 11 - -10*2. Suppose -h*i + 15*i + 2 = 0. Solve i*m + 16 = -2*o, 6*o - 3*o = -9 for m.\n' | b'-5\n' | b'Let h be -15 + 11 - -10*2. Suppose -h*i + 15*i + 2 = 0. Solve i*m + 16 = -2*o, 6*o - 3*o = -9 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a(p) = 159*p - 3816. Let g be a(24). Solve -o - 10 = -11, -4*n + 3*o + 5 = g for n.\n' | b'2\n' | b'Let a(p) = 159*p - 3816. Let g be a(24). Solve -o - 10 = -11, -4*n + 3*o + 5 = g for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let f(b) = b**3 - 5*b**2 + 6*b - 3. Let d(q) = 6*q + q**3 - 7*q**2 + 3 - 1 + 0. Let k be d(6). Suppose 3*r = 2*p + k, -4*r = -2*p - 0*p - 6. What is f(r)?\n' | b'5\n' | b'Let f(b) = b**3 - 5*b**2 + 6*b - 3. Let d(q) = 6*q + q**3 - 7*q**2 + 3 - 1 + 0. Let k be d(6). Suppose 3*r = 2*p + k, -4*r = -2*p - 0*p - 6. What is f(r)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((((w**40*w)/w)/w)/(w*w**(4/17)*w*w)*(w**(6/25)*w)**24)**(-15) assuming w is positive.\n' | b'w**(-83544/85)\n' | b'Simplify ((((w**40*w)/w)/w)/(w*w**(4/17)*w*w)*(w**(6/25)*w)**24)**(-15) assuming w is positive.\n' | b'w**(-83544/85)\n' | deepmind/math_dataset |
b'Let v(m) = -20*m**2 + 18*m + 13. Let n(t) = -7*t**2 + 6*t + 4. Let l(w) = -17*n(w) + 6*v(w). Let r be l(7). Solve -j = r*j + 5*u + 6, 22 = -4*j + 3*u for j.\n' | b'-4\n' | b'Let v(m) = -20*m**2 + 18*m + 13. Let n(t) = -7*t**2 + 6*t + 4. Let l(w) = -17*n(w) + 6*v(w). Let r be l(7). Solve -j = r*j + 5*u + 6, 22 = -4*j + 3*u for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nttnnxxxxtnntnnn. Give prob of sequence xxt.\n' | b'1/70\n' | b'Three letters picked without replacement from nttnnxxxxtnntnnn. Give prob of sequence xxt.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let n = 369 + -366. Suppose -2*g + 3*g + 2 = 0, 5*o = 5*g + 60. Solve -4*j + 0*j = 2*r + o, -n*r = 3*j + 3 for j.\n' | b'-4\n' | b'Let n = 369 + -366. Suppose -2*g + 3*g + 2 = 0, 5*o = 5*g + 60. Solve -4*j + 0*j = 2*r + o, -n*r = 3*j + 3 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(u) be the first derivative of 1/3*u**3 + 18*u - 10*u**2 + 41. What is j(19)?\n' | b'-1\n' | b'Let j(u) be the first derivative of 1/3*u**3 + 18*u - 10*u**2 + 41. What is j(19)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(b) = -2 - 1 + 0 + 4 + b. Let y be l(1). Solve 0 = 2*m + 5*o + 22, -y*m - 2*m = 3*o + 16 for m.\n' | b'-1\n' | b'Let l(b) = -2 - 1 + 0 + 4 + b. Let y be l(1). Solve 0 = 2*m + 5*o + 22, -y*m - 2*m = 3*o + 16 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((r*r*r**1)**(-27)/(((r**5/r)/r*r)/(r/r**(-2/7))))/((r/(r*r*r/r**(-1/5)))**(2/31))**(-2/63) assuming r is positive.\n' | b'r**(-817514/9765)\n' | b'Simplify ((r*r*r**1)**(-27)/(((r**5/r)/r*r)/(r/r**(-2/7))))/((r/(r*r*r/r**(-1/5)))**(2/31))**(-2/63) assuming r is positive.\n' | b'r**(-817514/9765)\n' | deepmind/math_dataset |
b'Suppose -26*u + 480 = -19*u + 25*u. Solve 2*l = 2*n, -u = -0*n - 3*n for l.\n' | b'5\n' | b'Suppose -26*u + 480 = -19*u + 25*u. Solve 2*l = 2*n, -u = -0*n - 3*n for l.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (y**(-2/15)/(y**(-5)/y))**(-7/5) assuming y is positive.\n' | b'y**(-616/75)\n' | b'Simplify (y**(-2/15)/(y**(-5)/y))**(-7/5) assuming y is positive.\n' | b'y**(-616/75)\n' | deepmind/math_dataset |
b'Suppose 1044 = 16*m - 7*m. Suppose 11*o - m = -28. Solve 0 = -2*z + o, 3*z = c + 2*z + 9 for c.\n' | b'-5\n' | b'Suppose 1044 = 16*m - 7*m. Suppose 11*o - m = -28. Solve 0 = -2*z + o, 3*z = c + 2*z + 9 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 3 s and 1 n when four letters picked without replacement from {n: 3, s: 15}?\n' | b'91/204\n' | b'What is prob of picking 3 s and 1 n when four letters picked without replacement from {n: 3, s: 15}?\n' | b'91/204\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 3 k when four letters picked without replacement from {f: 5, k: 4, p: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 1 f and 3 k when four letters picked without replacement from {f: 5, k: 4, p: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let k = 509 + -474. Solve -3*l = -3*h + l - k, -l + 10 = -h for h.\n' | b'-5\n' | b'Let k = 509 + -474. Solve -3*l = -3*h + l - k, -l + 10 = -h for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(y) = 8*y - 51. Let c be u(7). Let m be c - (-6)/(-4)*-2. Solve 4*h + q + 3*q = -m, 6 = -2*h - 3*q for h.\n' | b'0\n' | b'Let u(y) = 8*y - 51. Let c be u(7). Let m be c - (-6)/(-4)*-2. Solve 4*h + q + 3*q = -m, 6 = -2*h - 3*q for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(w) be the first derivative of 0*w + w**3 - 137/4*w**4 + 0*w**2 - 141. Find the third derivative of m(l) wrt l.\n' | b'-822\n' | b'Let m(w) be the first derivative of 0*w + w**3 - 137/4*w**4 + 0*w**2 - 141. Find the third derivative of m(l) wrt l.\n' | b'-822\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sosoossooo. What is prob of picking 1 o and 1 s?\n' | b'8/15\n' | b'Two letters picked without replacement from sosoossooo. What is prob of picking 1 o and 1 s?\n' | b'8/15\n' | deepmind/math_dataset |
b'Let v be 135/216*(8*1 - 0). Solve 3*j = v*z - 5, -2*j - 3*z + z + 2 = 0 for j.\n' | b'0\n' | b'Let v be 135/216*(8*1 - 0). Solve 3*j = v*z - 5, -2*j - 3*z + z + 2 = 0 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 3 u when four letters picked without replacement from oouunuuuouuuuuorouuu.\n' | b'286/4845\n' | b'Calculate prob of picking 1 n and 3 u when four letters picked without replacement from oouunuuuouuuuuorouuu.\n' | b'286/4845\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkgglglkk. Give prob of picking 2 k.\n' | b'1/6\n' | b'Two letters picked without replacement from kkgglglkk. Give prob of picking 2 k.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((v**14*v)/(v*v**(7/3)/v)*((v**(-23)/v*v)/v)/v**(-40))**(3/29) assuming v is positive.\n' | b'v**(86/29)\n' | b'Simplify ((v**14*v)/(v*v**(7/3)/v)*((v**(-23)/v*v)/v)/v**(-40))**(3/29) assuming v is positive.\n' | b'v**(86/29)\n' | deepmind/math_dataset |
b'Simplify (w*w**2/w*w**(-31))/(w/w**14)**(-3/40) assuming w is positive.\n' | b'w**(-1199/40)\n' | b'Simplify (w*w**2/w*w**(-31))/(w/w**14)**(-3/40) assuming w is positive.\n' | b'w**(-1199/40)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 4, a: 3}. Give prob of sequence la.\n' | b'2/7\n' | b'Two letters picked without replacement from {l: 4, a: 3}. Give prob of sequence la.\n' | b'2/7\n' | deepmind/math_dataset |
b'Suppose 31*w = 1681 + 3434. Suppose 0 = -179*d + w*d + 70. Solve 3*r = -3*y - 15, d*r + 14 + 11 = y for r.\n' | b'-5\n' | b'Suppose 31*w = 1681 + 3434. Suppose 0 = -179*d + w*d + 70. Solve 3*r = -3*y - 15, d*r + 14 + 11 = y for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aarraaa. What is prob of sequence aa?\n' | b'10/21\n' | b'Two letters picked without replacement from aarraaa. What is prob of sequence aa?\n' | b'10/21\n' | deepmind/math_dataset |
b'Suppose -4*h = -4*p - 264, 8*p - 9*p = 2*h - 135. Suppose -h = 11*g - 12. Let y(k) = -k**2 - 4*k + 1. Determine y(g).\n' | b'-4\n' | b'Suppose -4*h = -4*p - 264, 8*p - 9*p = 2*h - 135. Suppose -h = 11*g - 12. Let y(k) = -k**2 - 4*k + 1. Determine y(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Let r be (264/55 - 2/(-10)) + -3. Let n be r/(-6) + (-6)/(-18) + 46. What is the third derivative of 3*p**4 + n*p**5 - 3*p**4 + 22*p**2 - 55*p**5 wrt p?\n' | b'-540*p**2\n' | b'Let r be (264/55 - 2/(-10)) + -3. Let n be r/(-6) + (-6)/(-18) + 46. What is the third derivative of 3*p**4 + n*p**5 - 3*p**4 + 22*p**2 - 55*p**5 wrt p?\n' | b'-540*p**2\n' | deepmind/math_dataset |
b'Let c(b) = -3*b**2 - 4*b - 3. Let i(w) = 5*w**2 + 6*w - 13. Let q(m) = 4*m**2 + 6*m - 12. Let s(j) = -3*i(j) + 4*q(j). Let o be s(-7). Give c(o).\n' | b'-7\n' | b'Let c(b) = -3*b**2 - 4*b - 3. Let i(w) = 5*w**2 + 6*w - 13. Let q(m) = 4*m**2 + 6*m - 12. Let s(j) = -3*i(j) + 4*q(j). Let o be s(-7). Give c(o).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kakaikaaaakkkxxaax. What is prob of picking 3 k?\n' | b'5/204\n' | b'Three letters picked without replacement from kakaikaaaakkkxxaax. What is prob of picking 3 k?\n' | b'5/204\n' | deepmind/math_dataset |
b'Simplify (l/((l/l**2*l)/l))/(l/l**(-2/3))*(l*(l*l*l**2*l)/l)/l**(-6)*(l**(-1/3))**(-38)/(l**(-1/3)/(l*l**2)) assuming l is positive.\n' | b'l**(82/3)\n' | b'Simplify (l/((l/l**2*l)/l))/(l/l**(-2/3))*(l*(l*l*l**2*l)/l)/l**(-6)*(l**(-1/3))**(-38)/(l**(-1/3)/(l*l**2)) assuming l is positive.\n' | b'l**(82/3)\n' | deepmind/math_dataset |
b'Let q(d) = -2*d - 9. Let i be q(0). Let v(b) = -b**2 - 9*b + 33. Let s(j) = j**2 + 4*j - 16. Let t(n) = i*s(n) - 4*v(n). Differentiate t(r) wrt r.\n' | b'-10*r\n' | b'Let q(d) = -2*d - 9. Let i be q(0). Let v(b) = -b**2 - 9*b + 33. Let s(j) = j**2 + 4*j - 16. Let t(n) = i*s(n) - 4*v(n). Differentiate t(r) wrt r.\n' | b'-10*r\n' | deepmind/math_dataset |
b'Let v(i) = 2*i - 9. Let t be v(6). What is the second derivative of k + 3*k**3 + t*k**3 - 2*k**3 - 5*k**3 wrt k?\n' | b'-6*k\n' | b'Let v(i) = 2*i - 9. Let t be v(6). What is the second derivative of k + 3*k**3 + t*k**3 - 2*k**3 - 5*k**3 wrt k?\n' | b'-6*k\n' | deepmind/math_dataset |
b'Simplify (q**(-1/8)*q*q*q**(-4/9))**(1/20)/(((q/q**(2/13))/q)**(3/13))**(-2/49) assuming q is positive.\n' | b'q**(835663/11924640)\n' | b'Simplify (q**(-1/8)*q*q*q**(-4/9))**(1/20)/(((q/q**(2/13))/q)**(3/13))**(-2/49) assuming q is positive.\n' | b'q**(835663/11924640)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 6, z: 1, i: 1, b: 2, r: 7}. Give prob of picking 1 b and 1 z.\n' | b'1/68\n' | b'Two letters picked without replacement from {a: 6, z: 1, i: 1, b: 2, r: 7}. Give prob of picking 1 b and 1 z.\n' | b'1/68\n' | deepmind/math_dataset |
b'Let z(d) be the second derivative of 0*d**5 + 27*d - 3/14*d**8 + 0 + 11/6*d**4 + 0*d**2 + 0*d**3 + 0*d**6 + 0*d**7. Find the third derivative of z(n) wrt n.\n' | b'-1440*n**3\n' | b'Let z(d) be the second derivative of 0*d**5 + 27*d - 3/14*d**8 + 0 + 11/6*d**4 + 0*d**2 + 0*d**3 + 0*d**6 + 0*d**7. Find the third derivative of z(n) wrt n.\n' | b'-1440*n**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, n: 6, x: 2, z: 4, e: 3, p: 2}. What is prob of sequence pe?\n' | b'1/51\n' | b'Two letters picked without replacement from {g: 1, n: 6, x: 2, z: 4, e: 3, p: 2}. What is prob of sequence pe?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let p(b) = b**3 + 11*b**2 + 1. Let f be p(-11). Find the second derivative of -f + 1 + 38*a - 32*a + 6*a**5 wrt a.\n' | b'120*a**3\n' | b'Let p(b) = b**3 + 11*b**2 + 1. Let f be p(-11). Find the second derivative of -f + 1 + 38*a - 32*a + 6*a**5 wrt a.\n' | b'120*a**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, y: 1, h: 1, w: 1, q: 1}. Give prob of picking 1 h and 1 q.\n' | b'1/10\n' | b'Two letters picked without replacement from {r: 1, y: 1, h: 1, w: 1, q: 1}. Give prob of picking 1 h and 1 q.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence fi when two letters picked without replacement from uueiiiafeueraa?\n' | b'3/182\n' | b'What is prob of sequence fi when two letters picked without replacement from uueiiiafeueraa?\n' | b'3/182\n' | deepmind/math_dataset |
b'Let g(m) = 1. Let a(r) = -3 - r + 2*r + 0*r. Let q be a(2). Let o(t) = -t + 4. Let c(f) = q*o(f) + 6*g(f). What is c(-4)?\n' | b'-2\n' | b'Let g(m) = 1. Let a(r) = -3 - r + 2*r + 0*r. Let q be a(2). Let o(t) = -t + 4. Let c(f) = q*o(f) + 6*g(f). What is c(-4)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from doeooeoedoereed. Give prob of picking 2 e.\n' | b'1/7\n' | b'Two letters picked without replacement from doeooeoedoereed. Give prob of picking 2 e.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let i(p) = -p**3 + 6*p**2 + 16*p + 7. Let s be i(8). Solve -5*a - 3*f + 30 = s, 2*a = 2*f + 6 for a.\n' | b'4\n' | b'Let i(p) = -p**3 + 6*p**2 + 16*p + 7. Let s be i(8). Solve -5*a - 3*f + 30 = s, 2*a = 2*f + 6 for a.\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of -p**4 + 200*p**3 + 2*p**4 + 2*p**5 + 184*p**3 - 609*p**3 - 5387 - 2*p**2 wrt p?\n' | b'120*p**2 + 24*p - 1350\n' | b'What is the third derivative of -p**4 + 200*p**3 + 2*p**4 + 2*p**5 + 184*p**3 - 609*p**3 - 5387 - 2*p**2 wrt p?\n' | b'120*p**2 + 24*p - 1350\n' | deepmind/math_dataset |
b'Let a(b) = -b**3 - 3*b**2 + 4*b + 4. Let m be a(-4). Let k(j) = -j - 7. Let c be k(-7). Suppose -2*p = -c*p. Solve -3*o - m = -3*q + 2, -3*q = p for o.\n' | b'-2\n' | b'Let a(b) = -b**3 - 3*b**2 + 4*b + 4. Let m be a(-4). Let k(j) = -j - 7. Let c be k(-7). Suppose -2*p = -c*p. Solve -3*o - m = -3*q + 2, -3*q = p for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(i) be the third derivative of 11*i**4/24 - 2*i**2 - 1. Give b(1).\n' | b'11\n' | b'Let b(i) be the third derivative of 11*i**4/24 - 2*i**2 - 1. Give b(1).\n' | b'11\n' | deepmind/math_dataset |
b'Simplify (r**(-2/29))**(-11/2) assuming r is positive.\n' | b'r**(11/29)\n' | b'Simplify (r**(-2/29))**(-11/2) assuming r is positive.\n' | b'r**(11/29)\n' | deepmind/math_dataset |
b'Suppose -114 = -29*c + 201 - 54. Solve 3*h + c = 2*b, -5*b = -4*h - 70 + 58 for b.\n' | b'0\n' | b'Suppose -114 = -29*c + 201 - 54. Solve 3*h + c = 2*b, -5*b = -4*h - 70 + 58 for b.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 x and 1 v when four letters picked without replacement from yivxixiixxivxiixiyii?\n' | b'8/969\n' | b'What is prob of picking 3 x and 1 v when four letters picked without replacement from yivxixiixxivxiixiyii?\n' | b'8/969\n' | deepmind/math_dataset |
b'What is prob of sequence xpts when four letters picked without replacement from ptxpsptppsxp?\n' | b'2/495\n' | b'What is prob of sequence xpts when four letters picked without replacement from ptxpsptppsxp?\n' | b'2/495\n' | deepmind/math_dataset |
b'Calculate prob of sequence hywh when four letters picked without replacement from yhwwyhywyyjwyyjyhyy.\n' | b'5/1938\n' | b'Calculate prob of sequence hywh when four letters picked without replacement from yhwwyhywyyjwyyjyhyy.\n' | b'5/1938\n' | deepmind/math_dataset |
b'Let m(n) be the first derivative of -1641*n**4/2 + n**3/3 - 5779*n**2 + n + 7064. Find the second derivative of m(w) wrt w.\n' | b'-19692*w + 2\n' | b'Let m(n) be the first derivative of -1641*n**4/2 + n**3/3 - 5779*n**2 + n + 7064. Find the second derivative of m(w) wrt w.\n' | b'-19692*w + 2\n' | deepmind/math_dataset |
b'Let o(n) be the first derivative of 0*n + 0*n**2 - 108 + 14/3*n**3 + 1/4*n**4. Give o(-14).\n' | b'0\n' | b'Let o(n) be the first derivative of 0*n + 0*n**2 - 108 + 14/3*n**3 + 1/4*n**4. Give o(-14).\n' | b'0\n' | deepmind/math_dataset |
b'Let y(a) = -40 + 176*a**2 + 189*a - 6*a - 7 - 172*a**2. Calculate y(-46).\n' | b'-1\n' | b'Let y(a) = -40 + 176*a**2 + 189*a - 6*a - 7 - 172*a**2. Calculate y(-46).\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(b) be the third derivative of b**5/60 - b**3/3 - 5*b**2. Find the first derivative of v(i) wrt i.\n' | b'2*i\n' | b'Let v(b) be the third derivative of b**5/60 - b**3/3 - 5*b**2. Find the first derivative of v(i) wrt i.\n' | b'2*i\n' | deepmind/math_dataset |
b'Let z be 36*((-13)/(-6) - 2). Let d(v) = -v**2 - 8*v - 5. Let n be d(-5). What is the third derivative of z*g**2 - 354*g + n*g**5 + 354*g wrt g?\n' | b'600*g**2\n' | b'Let z be 36*((-13)/(-6) - 2). Let d(v) = -v**2 - 8*v - 5. Let n be d(-5). What is the third derivative of z*g**2 - 354*g + n*g**5 + 354*g wrt g?\n' | b'600*g**2\n' | deepmind/math_dataset |
b'Simplify b*b*b**16*b*b*(b/b**15*b)/b*b**(-1/2)*(b*b**(-3/11))/b assuming b is positive.\n' | b'b**(115/22)\n' | b'Simplify b*b*b**16*b*b*(b/b**15*b)/b*b**(-1/2)*(b*b**(-3/11))/b assuming b is positive.\n' | b'b**(115/22)\n' | deepmind/math_dataset |
b'What is prob of sequence qqww when four letters picked without replacement from {q: 3, w: 7}?\n' | b'1/20\n' | b'What is prob of sequence qqww when four letters picked without replacement from {q: 3, w: 7}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let n(x) = 10*x - 5398*x**2 + 10800*x**2 - 5401*x**2 - 16. Calculate n(-14).\n' | b'40\n' | b'Let n(x) = 10*x - 5398*x**2 + 10800*x**2 - 5401*x**2 - 16. Calculate n(-14).\n' | b'40\n' | deepmind/math_dataset |
b'Suppose -2*d + 0*d = 14. Let b be (-5)/(-10) + d/(-2). What is the second derivative of 2*f + b*f**5 - 2*f**5 + f**5 wrt f?\n' | b'60*f**3\n' | b'Suppose -2*d + 0*d = 14. Let b be (-5)/(-10) + d/(-2). What is the second derivative of 2*f + b*f**5 - 2*f**5 + f**5 wrt f?\n' | b'60*f**3\n' | deepmind/math_dataset |
b'Simplify ((r/r**(2/15))/(r/r**21))/(((r/(r**(4/13)*r))/r)/r**(2/21)) assuming r is positive.\n' | b'r**(30398/1365)\n' | b'Simplify ((r/r**(2/15))/(r/r**21))/(((r/(r**(4/13)*r))/r)/r**(2/21)) assuming r is positive.\n' | b'r**(30398/1365)\n' | deepmind/math_dataset |
b'Suppose -5*h - o = -0*h - 18, 5*h = 5*o. Find the second derivative of -v + 3*v - 3*v + v**h + 2*v**3 wrt v.\n' | b'18*v\n' | b'Suppose -5*h - o = -0*h - 18, 5*h = 5*o. Find the second derivative of -v + 3*v - 3*v + v**h + 2*v**3 wrt v.\n' | b'18*v\n' | deepmind/math_dataset |
b'Let k = 89 + -49. Let l be (135/75)/(6/k). Differentiate 3*p - p - 4 - l + 1 wrt p.\n' | b'2\n' | b'Let k = 89 + -49. Let l be (135/75)/(6/k). Differentiate 3*p - p - 4 - l + 1 wrt p.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (u*u*u**(-3)/u)/u**(4/9) assuming u is positive.\n' | b'u**(-22/9)\n' | b'Simplify (u*u*u**(-3)/u)/u**(4/9) assuming u is positive.\n' | b'u**(-22/9)\n' | deepmind/math_dataset |
b'Let m(c) = -c**3 + 3*c**2 - c + 2. Let b = -130 - -135. Suppose -4*y + b*y = 2. What is m(y)?\n' | b'4\n' | b'Let m(c) = -c**3 + 3*c**2 - c + 2. Let b = -130 - -135. Suppose -4*y + b*y = 2. What is m(y)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence mn when two letters picked without replacement from ttmjnxtmttjjjtjst.\n' | b'1/136\n' | b'Calculate prob of sequence mn when two letters picked without replacement from ttmjnxtmttjjjtjst.\n' | b'1/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, j: 3, g: 1, o: 6, t: 1, c: 1}. Give prob of sequence joa.\n' | b'3/286\n' | b'Three letters picked without replacement from {a: 1, j: 3, g: 1, o: 6, t: 1, c: 1}. Give prob of sequence joa.\n' | b'3/286\n' | deepmind/math_dataset |
b'Let f = 450 + -448. Solve 0 = -5*y + f*y + 3*i + 15, -4*y = 3*i + 1 for y.\n' | b'2\n' | b'Let f = 450 + -448. Solve 0 = -5*y + f*y + 3*i + 15, -4*y = 3*i + 1 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 13, o: 5}. Give prob of picking 1 o and 2 z.\n' | b'65/136\n' | b'Three letters picked without replacement from {z: 13, o: 5}. Give prob of picking 1 o and 2 z.\n' | b'65/136\n' | deepmind/math_dataset |
b'Let h(v) = -v**2 + 5*v + 2. Let q be h(5). Let r be (-6)/q + (26 - 3). What is the derivative of r + 2*a**3 - 11 + 4*a**3 wrt a?\n' | b'18*a**2\n' | b'Let h(v) = -v**2 + 5*v + 2. Let q be h(5). Let r be (-6)/q + (26 - 3). What is the derivative of r + 2*a**3 - 11 + 4*a**3 wrt a?\n' | b'18*a**2\n' | deepmind/math_dataset |
b'Simplify u/u**(-6)*u/(u**(9/2)*u) assuming u is positive.\n' | b'u**(5/2)\n' | b'Simplify u/u**(-6)*u/(u**(9/2)*u) assuming u is positive.\n' | b'u**(5/2)\n' | deepmind/math_dataset |
b'Let n = 16 + -4. Let c(f) = f**2 - 6*f + 5. Let g be c(6). Suppose g*t = 2 + 8. Solve -15 - 4 = 4*d + u, t*d + n = 2*u for d.\n' | b'-5\n' | b'Let n = 16 + -4. Let c(f) = f**2 - 6*f + 5. Let g be c(6). Suppose g*t = 2 + 8. Solve -15 - 4 = 4*d + u, t*d + n = 2*u for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 9}. Give prob of picking 2 w.\n' | b'1\n' | b'Two letters picked without replacement from {w: 9}. Give prob of picking 2 w.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 j, and 2 x when four letters picked without replacement from {j: 3, u: 7, x: 3}?\n' | b'63/715\n' | b'What is prob of picking 1 u, 1 j, and 2 x when four letters picked without replacement from {j: 3, u: 7, x: 3}?\n' | b'63/715\n' | deepmind/math_dataset |
b'Find the second derivative of -49628*w**2 - 54721*w**2 + 100261*w**2 + 1467*w wrt w.\n' | b'-8176\n' | b'Find the second derivative of -49628*w**2 - 54721*w**2 + 100261*w**2 + 1467*w wrt w.\n' | b'-8176\n' | deepmind/math_dataset |
b'Suppose -2*r - 70 = -3*p, 3*p = -2*r + r + 55. Suppose 2*s - 2*j - 2 = 0, 0 = -149*s + 153*s - j - 13. Solve 3*g + p = -g, s*q + 25 = -g for q.\n' | b'-5\n' | b'Suppose -2*r - 70 = -3*p, 3*p = -2*r + r + 55. Suppose 2*s - 2*j - 2 = 0, 0 = -149*s + 153*s - j - 13. Solve 3*g + p = -g, s*q + 25 = -g for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f be (-2)/(4/(-5))*84/105. Let d(y) = -38*y**3 - 5 - 2 + 37*y**3 + 5*y**f + 1 + y. Suppose -3*z = -6*z + 15. What is d(z)?\n' | b'-1\n' | b'Let f be (-2)/(4/(-5))*84/105. Let d(y) = -38*y**3 - 5 - 2 + 37*y**3 + 5*y**f + 1 + y. Suppose -3*z = -6*z + 15. What is d(z)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (o/(o*(o**(5/3)/o)/o))/(o/(o*((o*(o*o/(o*(o*(o*o**(-7)*o)/o)/o))/o*o)/o*o)/o))*o*o*o**6*o*o*o**3/o assuming o is positive.\n' | b'o**(58/3)\n' | b'Simplify (o/(o*(o**(5/3)/o)/o))/(o/(o*((o*(o*o/(o*(o*(o*o**(-7)*o)/o)/o))/o*o)/o*o)/o))*o*o*o**6*o*o*o**3/o assuming o is positive.\n' | b'o**(58/3)\n' | deepmind/math_dataset |
b'Simplify d*d**28*d/d**(-1/50) assuming d is positive.\n' | b'd**(1501/50)\n' | b'Simplify d*d**28*d/d**(-1/50) assuming d is positive.\n' | b'd**(1501/50)\n' | deepmind/math_dataset |
b'Simplify (((j**11/j)/j*j*j)/(j**9*j))**(1/16) assuming j is positive.\n' | b'j**(1/16)\n' | b'Simplify (((j**11/j)/j*j*j)/(j**9*j))**(1/16) assuming j is positive.\n' | b'j**(1/16)\n' | deepmind/math_dataset |
b'Let b = -19 - -21. Let j be -1*(2 + (-2 - 0)). Suppose 0*d + 8 = 5*d - 3*w, -5*d - w + 24 = 0. Solve j*v - b*x = -v - 2, -d*x = -3*v - 4 for v.\n' | b'0\n' | b'Let b = -19 - -21. Let j be -1*(2 + (-2 - 0)). Suppose 0*d + 8 = 5*d - 3*w, -5*d - w + 24 = 0. Solve j*v - b*x = -v - 2, -d*x = -3*v - 4 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let f be 14/14 - -2*2/(-4). Solve 3*x = 3*s - 2 - 10, f = -5*s - 3*x - 12 for s.\n' | b'0\n' | b'Let f be 14/14 - -2*2/(-4). Solve 3*x = 3*s - 2 - 10, f = -5*s - 3*x - 12 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(i) = 4*i. Let x(d) = 5*d - 1. Let o(c) = -6*v(c) + 5*x(c). Give o(4).\n' | b'-1\n' | b'Let v(i) = 4*i. Let x(d) = 5*d - 1. Let o(c) = -6*v(c) + 5*x(c). Give o(4).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 2 o when three letters picked without replacement from xxoxoooxog.\n' | b'1/3\n' | b'Calculate prob of picking 1 x and 2 o when three letters picked without replacement from xxoxoooxog.\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify ((((q/q**(-2/9)*q)/q)/q*q*q*q)/q**(-2/17))**(-11) assuming q is positive.\n' | b'q**(-5621/153)\n' | b'Simplify ((((q/q**(-2/9)*q)/q)/q*q*q*q)/q**(-2/17))**(-11) assuming q is positive.\n' | b'q**(-5621/153)\n' | deepmind/math_dataset |
b'Let t be ((-6)/16*-2)/(29/116). Suppose 8 = 2*s + 2*s. Suppose 0 = -s*o - t + 13. Solve -b = 5*c - 3*b + 2, 5 = -c + o*b for c.\n' | b'0\n' | b'Let t be ((-6)/16*-2)/(29/116). Suppose 8 = 2*s + 2*s. Suppose 0 = -s*o - t + 13. Solve -b = 5*c - 3*b + 2, 5 = -c + o*b for c.\n' | b'0\n' | deepmind/math_dataset |
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