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'Let h(f) be the second derivative of -18*f + 1/3*f**3 + 7/2*f**2 + 0. Give h(-6).\n' | b'-5\n' | b'Let h(f) be the second derivative of -18*f + 1/3*f**3 + 7/2*f**2 + 0. Give h(-6).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 g, and 2 l when four letters picked without replacement from {g: 1, e: 1, b: 1, l: 4, t: 1}.\n' | b'3/35\n' | b'Calculate prob of picking 1 b, 1 g, and 2 l when four letters picked without replacement from {g: 1, e: 1, b: 1, l: 4, t: 1}.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let c(n) = -2*n + 7 - 4 - 7*n**2 - 4. Give c(-1).\n' | b'-6\n' | b'Let c(n) = -2*n + 7 - 4 - 7*n**2 - 4. Give c(-1).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, l: 4, o: 1, s: 3, r: 8}. What is prob of sequence ros?\n' | b'1/170\n' | b'Three letters picked without replacement from {e: 1, l: 4, o: 1, s: 3, r: 8}. What is prob of sequence ros?\n' | b'1/170\n' | deepmind/math_dataset |
b'Suppose -4*p + 24 = 2*d + 4, 3*p + 2*d = 16. Solve 24 = -4*k + p*s, -5*k - 8*s + 9*s - 18 = 0 for k.\n' | b'-3\n' | b'Suppose -4*p + 24 = 2*d + 4, 3*p + 2*d = 16. Solve 24 = -4*k + p*s, -5*k - 8*s + 9*s - 18 = 0 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o(d) be the first derivative of -171*d**5 + 307*d - 561. Differentiate o(p) wrt p.\n' | b'-3420*p**3\n' | b'Let o(d) be the first derivative of -171*d**5 + 307*d - 561. Differentiate o(p) wrt p.\n' | b'-3420*p**3\n' | deepmind/math_dataset |
b'Simplify (z/(z/z**19*z*z))/(z*z**(-2/57)) assuming z is positive.\n' | b'z**(914/57)\n' | b'Simplify (z/(z/z**19*z*z))/(z*z**(-2/57)) assuming z is positive.\n' | b'z**(914/57)\n' | deepmind/math_dataset |
b'Let g(i) = 3914*i**5 + 5*i**2 + 440*i. Let p(s) = -1955*s**5 - 2*s**2 - 220*s. Let o(h) = -3*g(h) - 7*p(h). Find the third derivative of o(w) wrt w.\n' | b'116580*w**2\n' | b'Let g(i) = 3914*i**5 + 5*i**2 + 440*i. Let p(s) = -1955*s**5 - 2*s**2 - 220*s. Let o(h) = -3*g(h) - 7*p(h). Find the third derivative of o(w) wrt w.\n' | b'116580*w**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 3, e: 8}. What is prob of sequence sess?\n' | b'1/165\n' | b'Four letters picked without replacement from {s: 3, e: 8}. What is prob of sequence sess?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (q**6*q*q/q**(-5))**(2/39)/((((q**(-6/5)/q)/q*q*q)/q)/((q*q**(1/7))/q))**40 assuming q is positive.\n' | b'q**(1982/21)\n' | b'Simplify (q**6*q*q/q**(-5))**(2/39)/((((q**(-6/5)/q)/q*q*q)/q)/((q*q**(1/7))/q))**40 assuming q is positive.\n' | b'q**(1982/21)\n' | deepmind/math_dataset |
b'Let p(m) = -5 + 0 - m**3 - m**2 - 6*m + 7*m**2. Let a = 2768 + -2763. Calculate p(a).\n' | b'-10\n' | b'Let p(m) = -5 + 0 - m**3 - m**2 - 6*m + 7*m**2. Let a = 2768 + -2763. Calculate p(a).\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from agsaaggagagjsass. What is prob of picking 3 a?\n' | b'1/28\n' | b'Three letters picked without replacement from agsaaggagagjsass. What is prob of picking 3 a?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let n(l) = 2*l**2 + 3*l + 3. Suppose -25 = 3*x + 2*x. Let y = x - -3. Calculate n(y).\n' | b'5\n' | b'Let n(l) = 2*l**2 + 3*l + 3. Suppose -25 = 3*x + 2*x. Let y = x - -3. Calculate n(y).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyeyeyyyy. What is prob of sequence ye?\n' | b'7/36\n' | b'Two letters picked without replacement from yyeyeyyyy. What is prob of sequence ye?\n' | b'7/36\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 4, b: 2, v: 5, p: 4}. What is prob of sequence qbpv?\n' | b'4/819\n' | b'Four letters picked without replacement from {q: 4, b: 2, v: 5, p: 4}. What is prob of sequence qbpv?\n' | b'4/819\n' | deepmind/math_dataset |
b'Suppose -8*b - 447 + 463 = 0. Suppose 0*h + 29 = 3*f - 4*h, 0 = b*h + 10. Solve -2*d = f*g + 6, -g - 7 = 4*d - 15 for d.\n' | b'3\n' | b'Suppose -8*b - 447 + 463 = 0. Suppose 0*h + 29 = 3*f - 4*h, 0 = b*h + 10. Solve -2*d = f*g + 6, -g - 7 = 4*d - 15 for d.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(r) = -11*r**3 - 8*r**2 + 15*r + 17. Let q(a) = -5*a**3 - 4*a**2 + 7*a + 8. Let h(u) = -4*d(u) + 9*q(u). Determine h(-4).\n' | b'-8\n' | b'Let d(r) = -11*r**3 - 8*r**2 + 15*r + 17. Let q(a) = -5*a**3 - 4*a**2 + 7*a + 8. Let h(u) = -4*d(u) + 9*q(u). Determine h(-4).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 3 w when four letters picked without replacement from {w: 5, a: 2}?\n' | b'4/7\n' | b'What is prob of picking 1 a and 3 w when four letters picked without replacement from {w: 5, a: 2}?\n' | b'4/7\n' | deepmind/math_dataset |
b'Let d = -22 - 0. Let n = 27 + d. Solve 0 = -n*h + 3*p - p - 16, h + 8 = 2*p for h.\n' | b'-2\n' | b'Let d = -22 - 0. Let n = 27 + d. Solve 0 = -n*h + 3*p - p - 16, h + 8 = 2*p for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, w: 2, h: 1, u: 2, x: 1}. Give prob of sequence qw.\n' | b'1/21\n' | b'Two letters picked without replacement from {q: 1, w: 2, h: 1, u: 2, x: 1}. Give prob of sequence qw.\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllwuttixtll. What is prob of sequence wti?\n' | b'1/440\n' | b'Three letters picked without replacement from lllwuttixtll. What is prob of sequence wti?\n' | b'1/440\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, c: 4, w: 2, m: 6}. Give prob of picking 1 y and 1 w.\n' | b'2/35\n' | b'Two letters picked without replacement from {y: 3, c: 4, w: 2, m: 6}. Give prob of picking 1 y and 1 w.\n' | b'2/35\n' | deepmind/math_dataset |
b'What is the derivative of 185*c + 5*c**2 - 2391 - 27*c - 12*c - 55*c wrt c?\n' | b'10*c + 91\n' | b'What is the derivative of 185*c + 5*c**2 - 2391 - 27*c - 12*c - 55*c wrt c?\n' | b'10*c + 91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rwrwrwrrrrwrrwmrw. Give prob of sequence wmw.\n' | b'1/136\n' | b'Three letters picked without replacement from rwrwrwrrrrwrrwmrw. Give prob of sequence wmw.\n' | b'1/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, p: 1, r: 4, c: 6, a: 1}. Give prob of sequence cc.\n' | b'5/26\n' | b'Two letters picked without replacement from {l: 1, p: 1, r: 4, c: 6, a: 1}. Give prob of sequence cc.\n' | b'5/26\n' | deepmind/math_dataset |
b'Suppose 0 - 12 = -3*c. Let s be (-2)/6 + 246/(-18). Let k be (-20)/(-28) - c/s. Let f(y) = y**2 - 2*y + 1. What is f(k)?\n' | b'0\n' | b'Suppose 0 - 12 = -3*c. Let s be (-2)/6 + 246/(-18). Let k be (-20)/(-28) - c/s. Let f(y) = y**2 - 2*y + 1. What is f(k)?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 6, t: 6, q: 4, s: 3}. What is prob of sequence qq?\n' | b'2/57\n' | b'Two letters picked without replacement from {j: 6, t: 6, q: 4, s: 3}. What is prob of sequence qq?\n' | b'2/57\n' | deepmind/math_dataset |
b'Suppose -4*g = 5*u - 3, -3*u + 5 = 71*g - 67*g. Suppose 3*l = 6*l. Solve l = b - g, 5*m = b + 23 for m.\n' | b'5\n' | b'Suppose -4*g = 5*u - 3, -3*u + 5 = 71*g - 67*g. Suppose 3*l = 6*l. Solve l = b - g, 5*m = b + 23 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -10 = 3*z - z, 0 = 5*y - 4*z - 595. Find the second derivative of -y + 3*r - 6*r**3 + 115 wrt r.\n' | b'-36*r\n' | b'Suppose -10 = 3*z - z, 0 = 5*y - 4*z - 595. Find the second derivative of -y + 3*r - 6*r**3 + 115 wrt r.\n' | b'-36*r\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from vnnnnviiinnnni.\n' | b'1/91\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from vnnnnviiinnnni.\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify (x/x**(-15))/(x**(-36)*x)*(x**0)**17 assuming x is positive.\n' | b'x**51\n' | b'Simplify (x/x**(-15))/(x**(-36)*x)*(x**0)**17 assuming x is positive.\n' | b'x**51\n' | deepmind/math_dataset |
b'Let d(f) = 2*f**2 + 7*f - 12. Let a = 1472 - 1478. Calculate d(a).\n' | b'18\n' | b'Let d(f) = 2*f**2 + 7*f - 12. Let a = 1472 - 1478. Calculate d(a).\n' | b'18\n' | deepmind/math_dataset |
b'Let z(o) = -4*o + 2. Let l(j) = -j**3 + 5*j**2 - 4*j + 4. Let p be l(4). Let n(f) = -4*f + 4. Let v(a) = p*z(a) - 3*n(a). Calculate v(-7).\n' | b'24\n' | b'Let z(o) = -4*o + 2. Let l(j) = -j**3 + 5*j**2 - 4*j + 4. Let p be l(4). Let n(f) = -4*f + 4. Let v(a) = p*z(a) - 3*n(a). Calculate v(-7).\n' | b'24\n' | deepmind/math_dataset |
b'What is prob of sequence pjxa when four letters picked without replacement from ajpappx?\n' | b'1/140\n' | b'What is prob of sequence pjxa when four letters picked without replacement from ajpappx?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let a be (-4)/(-10) + (-43)/(-5). Let t be 24/a - 2/3. Let i(k) = -2*k**2 + 0*k**t + 1 + k**2 - k + 2*k. Determine i(3).\n' | b'-5\n' | b'Let a be (-4)/(-10) + (-43)/(-5). Let t be 24/a - 2/3. Let i(k) = -2*k**2 + 0*k**t + 1 + k**2 - k + 2*k. Determine i(3).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence is when two letters picked without replacement from ttistsdwwssx?\n' | b'1/33\n' | b'What is prob of sequence is when two letters picked without replacement from ttistsdwwssx?\n' | b'1/33\n' | deepmind/math_dataset |
b'Suppose 81 = 4*a - 51. Suppose u = 4*j - a, u + u - 15 = -j. Differentiate j*q**4 - 5*q**4 + 7 + 6*q**4 with respect to q.\n' | b'40*q**3\n' | b'Suppose 81 = 4*a - 51. Suppose u = 4*j - a, u + u - 15 = -j. Differentiate j*q**4 - 5*q**4 + 7 + 6*q**4 with respect to q.\n' | b'40*q**3\n' | deepmind/math_dataset |
b'Let u be (9 - 3)*(451/33 - 12). Solve 3*i - 2*o = -u, -3*i - 15 = 9*o - 12*o for i.\n' | b'0\n' | b'Let u be (9 - 3)*(451/33 - 12). Solve 3*i - 2*o = -u, -3*i - 15 = 9*o - 12*o for i.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 f when three letters picked without replacement from nnfrqf.\n' | b'1/10\n' | b'Calculate prob of picking 2 n and 1 f when three letters picked without replacement from nnfrqf.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(b) = 11*b**2 - 27*b + 25. Let i(u) = -u**2 - 1. Let y(q) = 8*q**2 - 13*q + 15. Let z(p) = 3*i(p) + y(p). Let n(t) = -4*c(t) + 9*z(t). Give n(7).\n' | b'-6\n' | b'Let c(b) = 11*b**2 - 27*b + 25. Let i(u) = -u**2 - 1. Let y(q) = 8*q**2 - 13*q + 15. Let z(p) = 3*i(p) + y(p). Let n(t) = -4*c(t) + 9*z(t). Give n(7).\n' | b'-6\n' | deepmind/math_dataset |
b'Let z = -26 + 26. Suppose 7*c + 9 - 359 = z. Suppose -53*p = -c*p + 12. Let l(o) = o**3 + 5*o**2 + 5*o + 3. Give l(p).\n' | b'-1\n' | b'Let z = -26 + 26. Suppose 7*c + 9 - 359 = z. Suppose -53*p = -c*p + 12. Let l(o) = o**3 + 5*o**2 + 5*o + 3. Give l(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence fkfh when four letters picked without replacement from {f: 4, h: 2, k: 7}.\n' | b'7/715\n' | b'Calculate prob of sequence fkfh when four letters picked without replacement from {f: 4, h: 2, k: 7}.\n' | b'7/715\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 1 p, and 2 s when four letters picked without replacement from apszisarssiipiispspa?\n' | b'20/323\n' | b'What is prob of picking 1 i, 1 p, and 2 s when four letters picked without replacement from apszisarssiipiispspa?\n' | b'20/323\n' | deepmind/math_dataset |
b'What is prob of sequence fkn when three letters picked without replacement from {f: 4, n: 1, e: 2, k: 2, v: 2, t: 3}?\n' | b'1/273\n' | b'What is prob of sequence fkn when three letters picked without replacement from {f: 4, n: 1, e: 2, k: 2, v: 2, t: 3}?\n' | b'1/273\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 1 j, and 1 x when three letters picked without replacement from jdyxtddxjdtjytyj.\n' | b'3/70\n' | b'Calculate prob of picking 1 y, 1 j, and 1 x when three letters picked without replacement from jdyxtddxjdtjytyj.\n' | b'3/70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, y: 2, k: 3, m: 1}. Give prob of picking 2 y.\n' | b'1/21\n' | b'Two letters picked without replacement from {c: 1, y: 2, k: 3, m: 1}. Give prob of picking 2 y.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is the derivative of -1343 + 5 - 984*l**4 + 156 wrt l?\n' | b'-3936*l**3\n' | b'What is the derivative of -1343 + 5 - 984*l**4 + 156 wrt l?\n' | b'-3936*l**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 r when three letters picked without replacement from {k: 1, r: 1, u: 5, w: 4}?\n' | b'2/55\n' | b'What is prob of picking 2 w and 1 r when three letters picked without replacement from {k: 1, r: 1, u: 5, w: 4}?\n' | b'2/55\n' | deepmind/math_dataset |
b'What is prob of sequence smw when three letters picked without replacement from stmmmmws?\n' | b'1/42\n' | b'What is prob of sequence smw when three letters picked without replacement from stmmmmws?\n' | b'1/42\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 3, p: 1, j: 2, w: 2, z: 4}. What is prob of picking 3 k?\n' | b'1/220\n' | b'Three letters picked without replacement from {k: 3, p: 1, j: 2, w: 2, z: 4}. What is prob of picking 3 k?\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (a*(a*a/(a/(a*a**(-1/11)/a))*a)/a*a*a/((a/a**(-2)*a)/a))/((a**(-1/4)/a)/a**(2/27))*((a**(-2))**(-1/28))**(-19) assuming a is positive.\n' | b'a**(7285/8316)\n' | b'Simplify (a*(a*a/(a/(a*a**(-1/11)/a))*a)/a*a*a/((a/a**(-2)*a)/a))/((a**(-1/4)/a)/a**(2/27))*((a**(-2))**(-1/28))**(-19) assuming a is positive.\n' | b'a**(7285/8316)\n' | deepmind/math_dataset |
b'What is prob of sequence af when two letters picked without replacement from {u: 1, w: 3, n: 5, f: 2, i: 3, a: 1}?\n' | b'1/105\n' | b'What is prob of sequence af when two letters picked without replacement from {u: 1, w: 3, n: 5, f: 2, i: 3, a: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, k: 2, v: 1}. Give prob of sequence dv.\n' | b'1/12\n' | b'Two letters picked without replacement from {d: 1, k: 2, v: 1}. Give prob of sequence dv.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let a(i) = -i - 3. Suppose 4 = -2*b, z + 4*b + 3 + 11 = 0. Let w be a(z). Differentiate -2 - 4*u**3 + u**w + 4*u**3 with respect to u.\n' | b'3*u**2\n' | b'Let a(i) = -i - 3. Suppose 4 = -2*b, z + 4*b + 3 + 11 = 0. Let w be a(z). Differentiate -2 - 4*u**3 + u**w + 4*u**3 with respect to u.\n' | b'3*u**2\n' | deepmind/math_dataset |
b'Suppose -13*z = -18*z + 10. What is the first derivative of -4*u**z + 1204 - 1289 + 2*u**2 + 25*u**4 wrt u?\n' | b'100*u**3 - 4*u\n' | b'Suppose -13*z = -18*z + 10. What is the first derivative of -4*u**z + 1204 - 1289 + 2*u**2 + 25*u**4 wrt u?\n' | b'100*u**3 - 4*u\n' | deepmind/math_dataset |
b'Let a(f) be the first derivative of 15*f**5 - 10/3*f**3 + 157 + 3/2*f**2 + 0*f + 0*f**4. What is the third derivative of a(k) wrt k?\n' | b'1800*k\n' | b'Let a(f) be the first derivative of 15*f**5 - 10/3*f**3 + 157 + 3/2*f**2 + 0*f + 0*f**4. What is the third derivative of a(k) wrt k?\n' | b'1800*k\n' | deepmind/math_dataset |
b'Suppose 5*c = -3*h + 1226, 354 + 1756 = 5*h - 5*c. What is the third derivative of 65*a**2 + 417 - h + 10*a**3 wrt a?\n' | b'60\n' | b'Suppose 5*c = -3*h + 1226, 354 + 1756 = 5*h - 5*c. What is the third derivative of 65*a**2 + 417 - h + 10*a**3 wrt a?\n' | b'60\n' | deepmind/math_dataset |
b'Suppose 2*t + 2 = 3*q - 9, 4*t - 2*q = -2. Let y(c) = 3*c**3 + t*c**2 + c + 3 + 0*c**3 + c - 2*c**3. Give y(-2).\n' | b'-1\n' | b'Suppose 2*t + 2 = 3*q - 9, 4*t - 2*q = -2. Let y(c) = 3*c**3 + t*c**2 + c + 3 + 0*c**3 + c - 2*c**3. Give y(-2).\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(h) be the second derivative of -h**6/5 - h**5/2 + 73*h**4/4 - 239*h. Find the third derivative of d(k) wrt k.\n' | b'-144*k - 60\n' | b'Let d(h) be the second derivative of -h**6/5 - h**5/2 + 73*h**4/4 - 239*h. Find the third derivative of d(k) wrt k.\n' | b'-144*k - 60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttsestttsi. Give prob of sequence tt.\n' | b'2/9\n' | b'Two letters picked without replacement from ttsestttsi. Give prob of sequence tt.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let v(a) be the first derivative of 65*a**4/4 - 32*a**2 + 81. What is the second derivative of v(l) wrt l?\n' | b'390*l\n' | b'Let v(a) be the first derivative of 65*a**4/4 - 32*a**2 + 81. What is the second derivative of v(l) wrt l?\n' | b'390*l\n' | deepmind/math_dataset |
b'Let p(x) be the first derivative of -1/4*x**4 - x**2 + 2*x - 2/3*x**3 + 3. Let d = -2937 - -2939. Determine p(d).\n' | b'-18\n' | b'Let p(x) be the first derivative of -1/4*x**4 - x**2 + 2*x - 2/3*x**3 + 3. Let d = -2937 - -2939. Determine p(d).\n' | b'-18\n' | deepmind/math_dataset |
b'Let f(c) = -11*c**3 - 8*c**2 + 3*c + 3. Let o(k) = 33*k**3 + 21*k**2 - 10*k - 10. Let v(g) = -8*f(g) - 3*o(g). Find the second derivative of v(y) wrt y.\n' | b'-66*y + 2\n' | b'Let f(c) = -11*c**3 - 8*c**2 + 3*c + 3. Let o(k) = 33*k**3 + 21*k**2 - 10*k - 10. Let v(g) = -8*f(g) - 3*o(g). Find the second derivative of v(y) wrt y.\n' | b'-66*y + 2\n' | deepmind/math_dataset |
b'What is prob of sequence aa when two letters picked without replacement from aaaaa?\n' | b'1\n' | b'What is prob of sequence aa when two letters picked without replacement from aaaaa?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(h) = 3*h**2 + 15*h + 8. Let g(r) = 2*r**2 - 13*r + 1. Let t be g(6). Let w(k) = -2*k**2 - 10*k - 5. Let x(l) = t*c(l) - 8*w(l). Calculate x(-4).\n' | b'-4\n' | b'Let c(h) = 3*h**2 + 15*h + 8. Let g(r) = 2*r**2 - 13*r + 1. Let t be g(6). Let w(k) = -2*k**2 - 10*k - 5. Let x(l) = t*c(l) - 8*w(l). Calculate x(-4).\n' | b'-4\n' | deepmind/math_dataset |
b'Let q = -38 - -41. Let x(t) = q + 48*t + 3*t**2 + t**3 - 6*t**2 + 52*t - 101*t. Determine x(3).\n' | b'0\n' | b'Let q = -38 - -41. Let x(t) = q + 48*t + 3*t**2 + t**3 - 6*t**2 + 52*t - 101*t. Determine x(3).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify d/(d*d*d*d**(-1/32))*((d*d/(d*d/(d**(-1/17)*d)))/d)/d*(d*d/d**(2/51)*d)/d**6 assuming d is positive.\n' | b'd**(-9901/1632)\n' | b'Simplify d/(d*d*d*d**(-1/32))*((d*d/(d*d/(d**(-1/17)*d)))/d)/d*(d*d/d**(2/51)*d)/d**6 assuming d is positive.\n' | b'd**(-9901/1632)\n' | deepmind/math_dataset |
b'Suppose -6*a - 50 = -a. Let f = a + 12. What is the derivative of -1 - 5*r**3 + 5 + f*r**3 wrt r?\n' | b'-9*r**2\n' | b'Suppose -6*a - 50 = -a. Let f = a + 12. What is the derivative of -1 - 5*r**3 + 5 + f*r**3 wrt r?\n' | b'-9*r**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 8, s: 3}. What is prob of sequence ys?\n' | b'12/55\n' | b'Two letters picked without replacement from {y: 8, s: 3}. What is prob of sequence ys?\n' | b'12/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 4, w: 14}. What is prob of sequence whhh?\n' | b'7/1530\n' | b'Four letters picked without replacement from {h: 4, w: 14}. What is prob of sequence whhh?\n' | b'7/1530\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xqxxooqoqxqkxtxk. What is prob of sequence xk?\n' | b'1/20\n' | b'Two letters picked without replacement from xqxxooqoqxqkxtxk. What is prob of sequence xk?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let c be 3/(-2) - (-7)/(-2). Let w(u) = u**2 + 6*u + 7. Let d be w(c). Solve 10 = -v - d*x - 2*x, -5*x = -5*v + 25 for v.\n' | b'2\n' | b'Let c be 3/(-2) - (-7)/(-2). Let w(u) = u**2 + 6*u + 7. Let d be w(c). Solve 10 = -v - d*x - 2*x, -5*x = -5*v + 25 for v.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence pp when two letters picked without replacement from {u: 5, p: 2, v: 1, a: 1, r: 3}?\n' | b'1/66\n' | b'What is prob of sequence pp when two letters picked without replacement from {u: 5, p: 2, v: 1, a: 1, r: 3}?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let m(n) = -n**3 + 8*n**2 + n - 4. Let c be m(8). Let x(u) = -1973*u + u**2 - 2000*u - 1 + 3966*u. Determine x(c).\n' | b'-13\n' | b'Let m(n) = -n**3 + 8*n**2 + n - 4. Let c be m(8). Let x(u) = -1973*u + u**2 - 2000*u - 1 + 3966*u. Determine x(c).\n' | b'-13\n' | deepmind/math_dataset |
b'Let m(d) be the first derivative of d**6/30 + 5*d**2/2 + 4*d + 3. Let g(k) be the first derivative of m(k). Differentiate g(j) with respect to j.\n' | b'4*j**3\n' | b'Let m(d) be the first derivative of d**6/30 + 5*d**2/2 + 4*d + 3. Let g(k) be the first derivative of m(k). Differentiate g(j) with respect to j.\n' | b'4*j**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rdnjnuus. What is prob of picking 1 j and 2 u?\n' | b'1/56\n' | b'Three letters picked without replacement from rdnjnuus. What is prob of picking 1 j and 2 u?\n' | b'1/56\n' | deepmind/math_dataset |
b'What is prob of sequence jj when two letters picked without replacement from {g: 7, j: 1, e: 2, a: 3, n: 3, s: 2}?\n' | b'0\n' | b'What is prob of sequence jj when two letters picked without replacement from {g: 7, j: 1, e: 2, a: 3, n: 3, s: 2}?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((j*j*j**9)/j**(2/27))/((j**(-9)/j)/j**(-2/3)))**(-13) assuming j is positive.\n' | b'j**(-7111/27)\n' | b'Simplify (((j*j*j**9)/j**(2/27))/((j**(-9)/j)/j**(-2/3)))**(-13) assuming j is positive.\n' | b'j**(-7111/27)\n' | deepmind/math_dataset |
b'Let x(w) be the third derivative of -22/3*w**3 + 0 - 1/12*w**4 + 0*w + 13*w**2 - 1/12*w**5. What is the first derivative of x(p) wrt p?\n' | b'-10*p - 2\n' | b'Let x(w) be the third derivative of -22/3*w**3 + 0 - 1/12*w**4 + 0*w + 13*w**2 - 1/12*w**5. What is the first derivative of x(p) wrt p?\n' | b'-10*p - 2\n' | deepmind/math_dataset |
b'Let m(n) = 463*n**4 - 34*n**2 - 11*n + 1. Let z(w) = -116*w**4 + 9*w**2 + 3*w. Let v(a) = -6*m(a) - 22*z(a). Find the third derivative of v(c) wrt c.\n' | b'-5424*c\n' | b'Let m(n) = 463*n**4 - 34*n**2 - 11*n + 1. Let z(w) = -116*w**4 + 9*w**2 + 3*w. Let v(a) = -6*m(a) - 22*z(a). Find the third derivative of v(c) wrt c.\n' | b'-5424*c\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 o when two letters picked without replacement from johojhhj?\n' | b'3/14\n' | b'What is prob of picking 1 h and 1 o when two letters picked without replacement from johojhhj?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((v**9/v*v*v/((v/(v*v*v**14*v)*v)/v))**(-4/11))**(-39) assuming v is positive.\n' | b'v**(4056/11)\n' | b'Simplify ((v**9/v*v*v/((v/(v*v*v**14*v)*v)/v))**(-4/11))**(-39) assuming v is positive.\n' | b'v**(4056/11)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 5, u: 7}. What is prob of picking 3 n?\n' | b'1/22\n' | b'Three letters picked without replacement from {n: 5, u: 7}. What is prob of picking 3 n?\n' | b'1/22\n' | deepmind/math_dataset |
b'What is the third derivative of 15956*t**5 - 7942*t**5 - 8227*t**5 + t**3 + 169 + 6*t - t**2 wrt t?\n' | b'-12780*t**2 + 6\n' | b'What is the third derivative of 15956*t**5 - 7942*t**5 - 8227*t**5 + t**3 + 169 + 6*t - t**2 wrt t?\n' | b'-12780*t**2 + 6\n' | deepmind/math_dataset |
b'Suppose -5*j + 5 + 0 = 5*b, -4*j = -2*b - 10. Suppose -3*u + u - 2 = 0, i - 3 = -u. Find the second derivative of j - i - 3*g**4 - g + 2 wrt g.\n' | b'-36*g**2\n' | b'Suppose -5*j + 5 + 0 = 5*b, -4*j = -2*b - 10. Suppose -3*u + u - 2 = 0, i - 3 = -u. Find the second derivative of j - i - 3*g**4 - g + 2 wrt g.\n' | b'-36*g**2\n' | deepmind/math_dataset |
b'Let r(i) be the second derivative of -67*i**5/20 + i**3/3 + 237*i**2/2 + 62*i. Differentiate r(o) with respect to o.\n' | b'-201*o**2 + 2\n' | b'Let r(i) be the second derivative of -67*i**5/20 + i**3/3 + 237*i**2/2 + 62*i. Differentiate r(o) with respect to o.\n' | b'-201*o**2 + 2\n' | deepmind/math_dataset |
b'Let k(c) be the second derivative of 1/4*c**4 - 1/4*c**5 - 3*c + 0 + 0*c**3 + 0*c**2. What is the third derivative of k(v) wrt v?\n' | b'-30\n' | b'Let k(c) be the second derivative of 1/4*c**4 - 1/4*c**5 - 3*c + 0 + 0*c**3 + 0*c**2. What is the third derivative of k(v) wrt v?\n' | b'-30\n' | deepmind/math_dataset |
b'Simplify ((((f*f*f**3/f*f)/f)/f)/((f/f**(1/5))/f)*(f**1)**(2/15))**(10/19) assuming f is positive.\n' | b'f**(100/57)\n' | b'Simplify ((((f*f*f**3/f*f)/f)/f)/((f/f**(1/5))/f)*(f**1)**(2/15))**(10/19) assuming f is positive.\n' | b'f**(100/57)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 3, p: 3}. Give prob of picking 2 p and 2 w.\n' | b'3/5\n' | b'Four letters picked without replacement from {w: 3, p: 3}. Give prob of picking 2 p and 2 w.\n' | b'3/5\n' | deepmind/math_dataset |
b'Let f(r) = -r**2 + r + 5. Let x(d) = -d. Let t(q) = f(q) + 3*x(q). Let m = 32 + -18. Let p = 10 - m. Calculate t(p).\n' | b'-3\n' | b'Let f(r) = -r**2 + r + 5. Let x(d) = -d. Let t(q) = f(q) + 3*x(q). Let m = 32 + -18. Let p = 10 - m. Calculate t(p).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kyghakao. Give prob of picking 1 a, 1 h, 1 g, and 1 k.\n' | b'2/35\n' | b'Four letters picked without replacement from kyghakao. Give prob of picking 1 a, 1 h, 1 g, and 1 k.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let v(x) be the third derivative of x**5/6 + 5*x**3/2 + 36*x**2. What is the derivative of v(l) wrt l?\n' | b'20*l\n' | b'Let v(x) be the third derivative of x**5/6 + 5*x**3/2 + 36*x**2. What is the derivative of v(l) wrt l?\n' | b'20*l\n' | deepmind/math_dataset |
b'What is the derivative of -6*o**3 - 14 + 3*o**3 - o**3 wrt o?\n' | b'-12*o**2\n' | b'What is the derivative of -6*o**3 - 14 + 3*o**3 - o**3 wrt o?\n' | b'-12*o**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tmimtimninniminiti. What is prob of picking 2 n?\n' | b'2/51\n' | b'Two letters picked without replacement from tmimtimninniminiti. What is prob of picking 2 n?\n' | b'2/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 2 z when three letters picked without replacement from gwgzwzuuzggg.\n' | b'3/110\n' | b'Calculate prob of picking 1 u and 2 z when three letters picked without replacement from gwgzwzuuzggg.\n' | b'3/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence hq when two letters picked without replacement from dvqhv.\n' | b'1/20\n' | b'Calculate prob of sequence hq when two letters picked without replacement from dvqhv.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (y/y**(-3/8))**(-8/11) assuming y is positive.\n' | b'1/y\n' | b'Simplify (y/y**(-3/8))**(-8/11) assuming y is positive.\n' | b'1/y\n' | deepmind/math_dataset |
b'Let s(w) = -16*w**3 + 43*w - 13. Let q(t) = 8*t**3 - 21*t + 6. Let a(b) = 13*q(b) + 6*s(b). Find the second derivative of a(y) wrt y.\n' | b'48*y\n' | b'Let s(w) = -16*w**3 + 43*w - 13. Let q(t) = 8*t**3 - 21*t + 6. Let a(b) = 13*q(b) + 6*s(b). Find the second derivative of a(y) wrt y.\n' | b'48*y\n' | deepmind/math_dataset |
b'Let i be (-9)/(-6 - -3) - 1. What is the derivative of -937 - 6*z**2 + 926 + i*z + 24*z**2 wrt z?\n' | b'36*z + 2\n' | b'Let i be (-9)/(-6 - -3) - 1. What is the derivative of -937 - 6*z**2 + 926 + i*z + 24*z**2 wrt z?\n' | b'36*z + 2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, a: 3, u: 1, r: 4, s: 2}. What is prob of picking 2 a and 1 i?\n' | b'3/110\n' | b'Three letters picked without replacement from {i: 2, a: 3, u: 1, r: 4, s: 2}. What is prob of picking 2 a and 1 i?\n' | b'3/110\n' | deepmind/math_dataset |
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