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'What is prob of picking 1 e and 2 j when three letters picked without replacement from {j: 4, e: 6, i: 3, q: 2}?\n' | b'36/455\n' | b'What is prob of picking 1 e and 2 j when three letters picked without replacement from {j: 4, e: 6, i: 3, q: 2}?\n' | b'36/455\n' | deepmind/math_dataset |
b'Let z(c) = 25*c**4 - 3*c**3 + 181. Let h(x) = 27*x**4 - 5*x**3 + 181. Let m(l) = -4*h(l) + 6*z(l). What is the derivative of m(p) wrt p?\n' | b'168*p**3 + 6*p**2\n' | b'Let z(c) = 25*c**4 - 3*c**3 + 181. Let h(x) = 27*x**4 - 5*x**3 + 181. Let m(l) = -4*h(l) + 6*z(l). What is the derivative of m(p) wrt p?\n' | b'168*p**3 + 6*p**2\n' | deepmind/math_dataset |
b'Suppose 111 = 94*n - 77. Solve 5*y - p - 3 = 3*y, 2*y - 2*p = n for y.\n' | b'2\n' | b'Suppose 111 = 94*n - 77. Solve 5*y - p - 3 = 3*y, 2*y - 2*p = n for y.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*s + 15 = 3*y - 3, 2*s - 15 = -3*y. Solve 2*t + 4*d - 10 = t, 3*t + 3*d - y = 0 for t.\n' | b'-2\n' | b'Suppose -3*s + 15 = 3*y - 3, 2*s - 15 = -3*y. Solve 2*t + 4*d - 10 = t, 3*t + 3*d - y = 0 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(y) = -y**2 - 6*y - 6. Let z be c(-4). Let f be 3 + 0 - 0/(-1). Let d be (-1)/(-2) - 36/(-8). Solve -f*i = -d*n + 22, -z*i + 4*n = -3*i + 4 for i.\n' | b'-4\n' | b'Let c(y) = -y**2 - 6*y - 6. Let z be c(-4). Let f be 3 + 0 - 0/(-1). Let d be (-1)/(-2) - 36/(-8). Solve -f*i = -d*n + 22, -z*i + 4*n = -3*i + 4 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -4*d - 50 = 5*g - 90, -4*d + 2*g + 12 = 0. Solve -r = 3*p + 7, 0 = p + d*r - 1 - 6 for p.\n' | b'-3\n' | b'Suppose -4*d - 50 = 5*g - 90, -4*d + 2*g + 12 = 0. Solve -r = 3*p + 7, 0 = p + d*r - 1 - 6 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(l) be the first derivative of 1775*l**4/4 + 705*l**3 + 2613. What is the third derivative of c(q) wrt q?\n' | b'10650\n' | b'Let c(l) be the first derivative of 1775*l**4/4 + 705*l**3 + 2613. What is the third derivative of c(q) wrt q?\n' | b'10650\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 6, h: 13}. What is prob of picking 2 h and 1 y?\n' | b'156/323\n' | b'Three letters picked without replacement from {y: 6, h: 13}. What is prob of picking 2 h and 1 y?\n' | b'156/323\n' | deepmind/math_dataset |
b'Simplify ((u**(1/4))**(6/19))**(-6)/(((u*u*u**(-6))/u*u/u**2*u)/(u**(1/4)*u*u**(-3/7))) assuming u is positive.\n' | b'u**(2845/532)\n' | b'Simplify ((u**(1/4))**(6/19))**(-6)/(((u*u*u**(-6))/u*u/u**2*u)/(u**(1/4)*u*u**(-3/7))) assuming u is positive.\n' | b'u**(2845/532)\n' | deepmind/math_dataset |
b'What is prob of picking 3 b when three letters picked without replacement from ccccbcccbccccccccb?\n' | b'1/816\n' | b'What is prob of picking 3 b when three letters picked without replacement from ccccbcccbccccccccb?\n' | b'1/816\n' | deepmind/math_dataset |
b'Let j(z) = 9*z**6 - 27*z**3 + 24*z**2 - 27. Let a(h) = h**3 - h**2 + 1. Let f(r) = -54*a(r) - 2*j(r). What is the third derivative of f(t) wrt t?\n' | b'-2160*t**3\n' | b'Let j(z) = 9*z**6 - 27*z**3 + 24*z**2 - 27. Let a(h) = h**3 - h**2 + 1. Let f(r) = -54*a(r) - 2*j(r). What is the third derivative of f(t) wrt t?\n' | b'-2160*t**3\n' | deepmind/math_dataset |
b'Let p = -23 - -25. Suppose 3*q - 4*q = 0. Let l be -1*(1 - (-1 + 2)). Solve p*y + q = 5*c - 14, -c + 2 = l for y.\n' | b'-2\n' | b'Let p = -23 - -25. Suppose 3*q - 4*q = 0. Let l be -1*(1 - (-1 + 2)). Solve p*y + q = 5*c - 14, -c + 2 = l for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(z) = -z - 7. Let i(o) = -3*o - 20. Let a(h) = -3*i(h) + 8*r(h). Determine a(-9).\n' | b'-5\n' | b'Let r(z) = -z - 7. Let i(o) = -3*o - 20. Let a(h) = -3*i(h) + 8*r(h). Determine a(-9).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, k: 3, a: 1}. What is prob of sequence ak?\n' | b'3/20\n' | b'Two letters picked without replacement from {p: 1, k: 3, a: 1}. What is prob of sequence ak?\n' | b'3/20\n' | deepmind/math_dataset |
b'Simplify (d**(2/15)*d**(-3/4))**44 assuming d is positive.\n' | b'd**(-407/15)\n' | b'Simplify (d**(2/15)*d**(-3/4))**44 assuming d is positive.\n' | b'd**(-407/15)\n' | deepmind/math_dataset |
b'Let l(y) = -2*y**2 + 14*y - 19. Let j be (-1)/(119/(-483) + (56/(-92))/7). Give l(j).\n' | b'5\n' | b'Let l(y) = -2*y**2 + 14*y - 19. Let j be (-1)/(119/(-483) + (56/(-92))/7). Give l(j).\n' | b'5\n' | deepmind/math_dataset |
b'Let l(s) be the third derivative of 93*s**6/20 - s**5/30 + 29*s**4/6 - 68*s**2. Find the third derivative of l(g) wrt g.\n' | b'3348\n' | b'Let l(s) be the third derivative of 93*s**6/20 - s**5/30 + 29*s**4/6 - 68*s**2. Find the third derivative of l(g) wrt g.\n' | b'3348\n' | deepmind/math_dataset |
b'Simplify o/(((o/o**2)/o*o)/o)*o*o**(-3/4)*o*o*o**1*o*o*o**(-1/15) assuming o is positive.\n' | b'o**(491/60)\n' | b'Simplify o/(((o/o**2)/o*o)/o)*o*o**(-3/4)*o*o*o**1*o*o*o**(-1/15) assuming o is positive.\n' | b'o**(491/60)\n' | deepmind/math_dataset |
b'Let t be 238/(-20) + (151/(-10) - -4 - -11). Let r(a) = -a**2 - 8*a + 50. Determine r(t).\n' | b'2\n' | b'Let t be 238/(-20) + (151/(-10) - -4 - -11). Let r(a) = -a**2 - 8*a + 50. Determine r(t).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nknnnknkknn. What is prob of sequence knkn?\n' | b'7/110\n' | b'Four letters picked without replacement from nknnnknkknn. What is prob of sequence knkn?\n' | b'7/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hsfjdjjssjhsff. What is prob of sequence dhjj?\n' | b'1/1001\n' | b'Four letters picked without replacement from hsfjdjjssjhsff. What is prob of sequence dhjj?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 7, t: 3}. What is prob of picking 3 o?\n' | b'7/24\n' | b'Three letters picked without replacement from {o: 7, t: 3}. What is prob of picking 3 o?\n' | b'7/24\n' | deepmind/math_dataset |
b'Let q(l) = 4*l**2 + 37*l**3 - 25 - 9*l - 14*l**2 - 38*l**3. Let x be q(-10). What is the second derivative of 50*s - x*s + 6*s**2 + 3*s**2 wrt s?\n' | b'18\n' | b'Let q(l) = 4*l**2 + 37*l**3 - 25 - 9*l - 14*l**2 - 38*l**3. Let x be q(-10). What is the second derivative of 50*s - x*s + 6*s**2 + 3*s**2 wrt s?\n' | b'18\n' | deepmind/math_dataset |
b'Suppose 0 = 5*w + 5*p + 2 - 7, 1 = 4*w + p. Suppose w = 15*i - 13*i - 4. Let u(v) = 10 + 5*v - 2*v - i*v. What is u(0)?\n' | b'10\n' | b'Suppose 0 = 5*w + 5*p + 2 - 7, 1 = 4*w + p. Suppose w = 15*i - 13*i - 4. Let u(v) = 10 + 5*v - 2*v - i*v. What is u(0)?\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, v: 3, s: 1}. Give prob of sequence rsvv.\n' | b'1/20\n' | b'Four letters picked without replacement from {r: 1, v: 3, s: 1}. Give prob of sequence rsvv.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let h(r) be the first derivative of -r**3/3 - r**2 - r + 13. What is h(-1)?\n' | b'0\n' | b'Let h(r) be the first derivative of -r**3/3 - r**2 - r + 13. What is h(-1)?\n' | b'0\n' | deepmind/math_dataset |
b'Let o = -4 - -7. Let f = 5 - o. Let z(u) = 2*u - 1. Let n(q) = q**2 + 11*q - 5. Let j(c) = f*n(c) - 11*z(c). What is the first derivative of j(r) wrt r?\n' | b'4*r\n' | b'Let o = -4 - -7. Let f = 5 - o. Let z(u) = 2*u - 1. Let n(q) = q**2 + 11*q - 5. Let j(c) = f*n(c) - 11*z(c). What is the first derivative of j(r) wrt r?\n' | b'4*r\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbbjxtbt. What is prob of picking 2 t and 1 j?\n' | b'1/56\n' | b'Three letters picked without replacement from bbbjxtbt. What is prob of picking 2 t and 1 j?\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify (((((c*c**3)/c)/(c/c**1))/((c**1*c)/c)**(-6/17))**(-1/8))**(2/35) assuming c is positive.\n' | b'c**(-57/2380)\n' | b'Simplify (((((c*c**3)/c)/(c/c**1))/((c**1*c)/c)**(-6/17))**(-1/8))**(2/35) assuming c is positive.\n' | b'c**(-57/2380)\n' | deepmind/math_dataset |
b'Calculate prob of sequence oodd when four letters picked without replacement from ddodoodoooodddddddd.\n' | b'77/1292\n' | b'Calculate prob of sequence oodd when four letters picked without replacement from ddodoodoooodddddddd.\n' | b'77/1292\n' | deepmind/math_dataset |
b'Suppose -2*j + 22 = -2. Suppose h + j = 4*h. Find the second derivative of 3*d**5 - h*d - 5*d**5 + 5*d wrt d.\n' | b'-40*d**3\n' | b'Suppose -2*j + 22 = -2. Suppose h + j = 4*h. Find the second derivative of 3*d**5 - h*d - 5*d**5 + 5*d wrt d.\n' | b'-40*d**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 n when two letters picked without replacement from kkkpnckcckkcnpkknkpk.\n' | b'6/95\n' | b'Calculate prob of picking 1 c and 1 n when two letters picked without replacement from kkkpnckcckkcnpkknkpk.\n' | b'6/95\n' | deepmind/math_dataset |
b'Let p be (-10 - -16)/(4/232*4). What is the derivative of 90*v**2 - 175*v + 195 + 90*v + p*v wrt v?\n' | b'180*v + 2\n' | b'Let p be (-10 - -16)/(4/232*4). What is the derivative of 90*v**2 - 175*v + 195 + 90*v + p*v wrt v?\n' | b'180*v + 2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 3, c: 3, f: 5, k: 1}. Give prob of sequence lcc.\n' | b'3/220\n' | b'Three letters picked without replacement from {l: 3, c: 3, f: 5, k: 1}. Give prob of sequence lcc.\n' | b'3/220\n' | deepmind/math_dataset |
b'Simplify (v**(-6)*(v*v**5)/v)/((v*v*v**(-1)/v)/(v*v**(3/7)*v)) assuming v is positive.\n' | b'v**(10/7)\n' | b'Simplify (v**(-6)*(v*v**5)/v)/((v*v*v**(-1)/v)/(v*v**(3/7)*v)) assuming v is positive.\n' | b'v**(10/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 3 d when four letters picked without replacement from {z: 2, n: 3, d: 12}.\n' | b'33/119\n' | b'Calculate prob of picking 1 n and 3 d when four letters picked without replacement from {z: 2, n: 3, d: 12}.\n' | b'33/119\n' | deepmind/math_dataset |
b'Let v be (5 + -1 + 1)*(-13 - -12). Let s be (-4)/v - (-81)/5. Suppose -26 = -3*l - s. Solve -5*b + b = 5*y - 14, b - 2*y = -l for b.\n' | b'1\n' | b'Let v be (5 + -1 + 1)*(-13 - -12). Let s be (-4)/v - (-81)/5. Suppose -26 = -3*l - s. Solve -5*b + b = 5*y - 14, b - 2*y = -l for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(i) = -2*i - 9. Let k = -15 - -36. Let v be (8 + -6)*k/(-6). What is c(v)?\n' | b'5\n' | b'Let c(i) = -2*i - 9. Let k = -15 - -36. Let v be (8 + -6)*k/(-6). What is c(v)?\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence hzz when three letters picked without replacement from zphzppbp?\n' | b'1/168\n' | b'What is prob of sequence hzz when three letters picked without replacement from zphzppbp?\n' | b'1/168\n' | deepmind/math_dataset |
b'Simplify (x**(-4)*x*x**11/x)/((x**(-3/7)/x)/x**4) assuming x is positive.\n' | b'x**(87/7)\n' | b'Simplify (x**(-4)*x*x**11/x)/((x**(-3/7)/x)/x**4) assuming x is positive.\n' | b'x**(87/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, g: 2, l: 4, j: 9, t: 1}. What is prob of picking 2 l?\n' | b'3/68\n' | b'Two letters picked without replacement from {o: 1, g: 2, l: 4, j: 9, t: 1}. What is prob of picking 2 l?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let p be 6/3 + (-12)/(-3). What is the second derivative of -4*q + 6*q + 5*q + 3*q**3 - p*q wrt q?\n' | b'18*q\n' | b'Let p be 6/3 + (-12)/(-3). What is the second derivative of -4*q + 6*q + 5*q + 3*q**3 - p*q wrt q?\n' | b'18*q\n' | deepmind/math_dataset |
b'Simplify (z**2)**(31/4) assuming z is positive.\n' | b'z**(31/2)\n' | b'Simplify (z**2)**(31/4) assuming z is positive.\n' | b'z**(31/2)\n' | deepmind/math_dataset |
b'Let x(i) = -3*i - 7. Let c be x(-4). Let s be 77/14 + ((-15)/6)/5. What is the second derivative of 0*r**s + 2*r + 2*r**c - 14*r wrt r?\n' | b'40*r**3\n' | b'Let x(i) = -3*i - 7. Let c be x(-4). Let s be 77/14 + ((-15)/6)/5. What is the second derivative of 0*r**s + 2*r + 2*r**c - 14*r wrt r?\n' | b'40*r**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqj. Give prob of picking 1 j and 1 q.\n' | b'1/2\n' | b'Two letters picked without replacement from qqqj. Give prob of picking 1 j and 1 q.\n' | b'1/2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, g: 2, f: 1, p: 4}. What is prob of picking 1 g and 1 p?\n' | b'8/45\n' | b'Two letters picked without replacement from {c: 3, g: 2, f: 1, p: 4}. What is prob of picking 1 g and 1 p?\n' | b'8/45\n' | deepmind/math_dataset |
b'Suppose 28*r + 16 = 32*r. Let t be 0/(-1) - 0 - -2. Solve -6*y + r = 3*m - 2*y, t*m = -2*y + 4 for m.\n' | b'4\n' | b'Suppose 28*r + 16 = 32*r. Let t be 0/(-1) - 0 - -2. Solve -6*y + r = 3*m - 2*y, t*m = -2*y + 4 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let j be ((-21)/56)/(4/(-32)). Let f(v) = -2*v**3 + 3*v**2 - 3*v + 1. Calculate f(j).\n' | b'-35\n' | b'Let j be ((-21)/56)/(4/(-32)). Let f(v) = -2*v**3 + 3*v**2 - 3*v + 1. Calculate f(j).\n' | b'-35\n' | deepmind/math_dataset |
b'Suppose -5*g = -g - 4*d - 2124, 0 = 2*d - 2. Suppose 11*t = -444 + g. Solve 2*j + t = 4*c, -2*c - 5*j - 10 = -2 for c.\n' | b'1\n' | b'Suppose -5*g = -g - 4*d - 2124, 0 = 2*d - 2. Suppose 11*t = -444 + g. Solve 2*j + t = 4*c, -2*c - 5*j - 10 = -2 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 o, and 1 h when three letters picked without replacement from nookkkkhhnhosot.\n' | b'12/455\n' | b'Calculate prob of picking 1 t, 1 o, and 1 h when three letters picked without replacement from nookkkkhhnhosot.\n' | b'12/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from byyeybbbyyy. Give prob of sequence bbyy.\n' | b'1/22\n' | b'Four letters picked without replacement from byyeybbbyyy. Give prob of sequence bbyy.\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 4*x + 102 = 2*y - 8, -55 = x + 5*y. Let g = -18 - x. Suppose -1 = 4*n - 5*w - g, w - 1 = 0. Solve n*q + 30 = -5*c, -3*c = q + 9 + 2 for c.\n' | b'-2\n' | b'Suppose 4*x + 102 = 2*y - 8, -55 = x + 5*y. Let g = -18 - x. Suppose -1 = 4*n - 5*w - g, w - 1 = 0. Solve n*q + 30 = -5*c, -3*c = q + 9 + 2 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(j) be the first derivative of 221*j**5/5 - 223*j**3/3 - 218. What is the third derivative of s(a) wrt a?\n' | b'5304*a\n' | b'Let s(j) be the first derivative of 221*j**5/5 - 223*j**3/3 - 218. What is the third derivative of s(a) wrt a?\n' | b'5304*a\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jsjjsnjnnhh. Give prob of picking 1 n and 1 h.\n' | b'6/55\n' | b'Two letters picked without replacement from jsjjsnjnnhh. Give prob of picking 1 n and 1 h.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let c = -335 + 338. Suppose 4*b = 3*v + 21, -c = 2*v + 3*b - 6. Let z(y) = -2*y**2 + 5*y + 4. What is z(v)?\n' | b'-29\n' | b'Let c = -335 + 338. Suppose 4*b = 3*v + 21, -c = 2*v + 3*b - 6. Let z(y) = -2*y**2 + 5*y + 4. What is z(v)?\n' | b'-29\n' | deepmind/math_dataset |
b'Let o(p) = p**3 - p**2 + p - 1. Let d(n) = 2*n**2 - 2*n + 2. Let l(r) = d(r) + o(r). Let w = 0 + -3. What is l(w)?\n' | b'-14\n' | b'Let o(p) = p**3 - p**2 + p - 1. Let d(n) = 2*n**2 - 2*n + 2. Let l(r) = d(r) + o(r). Let w = 0 + -3. What is l(w)?\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwzw. Give prob of sequence ww.\n' | b'1/2\n' | b'Two letters picked without replacement from wwzw. Give prob of sequence ww.\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (i**(-8)*i*i**(-4))**(5/2)/((i**(-3/7)*i*i*i**(-2))/(i**(-5/3)*i*i**(-1/10))) assuming i is positive.\n' | b'i**(-2923/105)\n' | b'Simplify (i**(-8)*i*i**(-4))**(5/2)/((i**(-3/7)*i*i*i**(-2))/(i**(-5/3)*i*i**(-1/10))) assuming i is positive.\n' | b'i**(-2923/105)\n' | deepmind/math_dataset |
b'Let w = 734 + -448. Let n = 294 - w. Solve j - 6*j + 20 = 3*u, 0 = 3*u - 2*j + n for u.\n' | b'0\n' | b'Let w = 734 + -448. Let n = 294 - w. Solve j - 6*j + 20 = 3*u, 0 = 3*u - 2*j + n for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(m) = -2*m**3 - 5*m**2 + 6*m - 10. Let f(l) = -3*l**3 - 5*l**2 + 7*l - 11. Let w(t) = 4*d(t) - 3*f(t). Let x be (11525/(-922))/(40/(-16)). What is w(x)?\n' | b'8\n' | b'Let d(m) = -2*m**3 - 5*m**2 + 6*m - 10. Let f(l) = -3*l**3 - 5*l**2 + 7*l - 11. Let w(t) = 4*d(t) - 3*f(t). Let x be (11525/(-922))/(40/(-16)). What is w(x)?\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, b: 3, u: 10, p: 2}. Give prob of sequence ups.\n' | b'5/408\n' | b'Three letters picked without replacement from {s: 3, b: 3, u: 10, p: 2}. Give prob of sequence ups.\n' | b'5/408\n' | deepmind/math_dataset |
b'Let o(j) be the third derivative of 25*j**4/3 - 139*j**3/3 + 272*j**2. What is the derivative of o(w) wrt w?\n' | b'200\n' | b'Let o(j) be the third derivative of 25*j**4/3 - 139*j**3/3 + 272*j**2. What is the derivative of o(w) wrt w?\n' | b'200\n' | deepmind/math_dataset |
b'Calculate prob of sequence bu when two letters picked without replacement from {b: 1, y: 3, u: 1, r: 1, s: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence bu when two letters picked without replacement from {b: 1, y: 3, u: 1, r: 1, s: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let d be (1*5 - 1)/((-20)/(-15)). Differentiate 24 - 63*h**4 + 51*h**4 + d with respect to h.\n' | b'-48*h**3\n' | b'Let d be (1*5 - 1)/((-20)/(-15)). Differentiate 24 - 63*h**4 + 51*h**4 + d with respect to h.\n' | b'-48*h**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eezfcfaffaczeeecefae. What is prob of picking 2 z and 1 e?\n' | b'7/1140\n' | b'Three letters picked without replacement from eezfcfaffaczeeecefae. What is prob of picking 2 z and 1 e?\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let t(i) = i**2 + 3*i - 4. Let a be t(-4). Let r = 197697 - 197694. Solve a = -r*v - 2*c + 5, 1 = -3*v + 4*c for v.\n' | b'1\n' | b'Let t(i) = i**2 + 3*i - 4. Let a be t(-4). Let r = 197697 - 197694. Solve a = -r*v - 2*c + 5, 1 = -3*v + 4*c for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let j(h) be the second derivative of 0*h**3 + 0*h**2 + 5/3*h**4 + 0 + 0*h**5 - 17*h + 0*h**6 + 3/56*h**8 + 0*h**7. What is the third derivative of j(y) wrt y?\n' | b'360*y**3\n' | b'Let j(h) be the second derivative of 0*h**3 + 0*h**2 + 5/3*h**4 + 0 + 0*h**5 - 17*h + 0*h**6 + 3/56*h**8 + 0*h**7. What is the third derivative of j(y) wrt y?\n' | b'360*y**3\n' | deepmind/math_dataset |
b'Let z(g) = -g**2 - 5*g + 8. Let t be z(-6). What is the third derivative of 4*l**t + 3*l**2 - 11*l**2 + 2*l**2 + 2*l**5 wrt l?\n' | b'120*l**2\n' | b'Let z(g) = -g**2 - 5*g + 8. Let t be z(-6). What is the third derivative of 4*l**t + 3*l**2 - 11*l**2 + 2*l**2 + 2*l**5 wrt l?\n' | b'120*l**2\n' | deepmind/math_dataset |
b'Simplify y*y/(y/(y*y/(y/((y*y/((y*y**(-1/16))/y*y))/y))))*y/y**(-7)*y*(y/y**(-8))/(y**1/y*y) assuming y is positive.\n' | b'y**(305/16)\n' | b'Simplify y*y/(y/(y*y/(y/((y*y/((y*y**(-1/16))/y*y))/y))))*y/y**(-7)*y*(y/y**(-8))/(y**1/y*y) assuming y is positive.\n' | b'y**(305/16)\n' | deepmind/math_dataset |
b'Suppose 5*y + 57 - 62 = 0. Let t(k) be the second derivative of k**6/180 - 5*k**4/12 - 2*k. Let c(v) be the third derivative of t(v). Determine c(y).\n' | b'4\n' | b'Suppose 5*y + 57 - 62 = 0. Let t(k) be the second derivative of k**6/180 - 5*k**4/12 - 2*k. Let c(v) be the third derivative of t(v). Determine c(y).\n' | b'4\n' | deepmind/math_dataset |
b'Let i be -3 + 0 - (-2 + 42). Let x = -25 - i. Suppose -5*k + 7 + x = 0, d = 3*k - 12. Solve d*z = 12, 5*s + 2*z = z + 29 for s.\n' | b'5\n' | b'Let i be -3 + 0 - (-2 + 42). Let x = -25 - i. Suppose -5*k + 7 + x = 0, d = 3*k - 12. Solve d*z = 12, 5*s + 2*z = z + 29 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (c**(-3/7)/c**5*(c**(1/3)/c*c*c)/(c*c/(c/(c*c/c**(-2/19)))))**(1/5) assuming c is positive.\n' | b'c**(-2873/1995)\n' | b'Simplify (c**(-3/7)/c**5*(c**(1/3)/c*c*c)/(c*c/(c/(c*c/c**(-2/19)))))**(1/5) assuming c is positive.\n' | b'c**(-2873/1995)\n' | deepmind/math_dataset |
b'Let i(f) = 0*f**2 - 3*f**2 - 1 + f - f**3 + 9*f**2. Give i(6).\n' | b'5\n' | b'Let i(f) = 0*f**2 - 3*f**2 - 1 + f - f**3 + 9*f**2. Give i(6).\n' | b'5\n' | deepmind/math_dataset |
b'Let f(p) be the second derivative of 3*p**3 + 314*p**2 - 14*p + 58. Determine f(-35).\n' | b'-2\n' | b'Let f(p) be the second derivative of 3*p**3 + 314*p**2 - 14*p + 58. Determine f(-35).\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(v) = v + 13. Let c be s(-11). Suppose -c*o = 4*o - 12. Solve 5*l - o*z + 12 = 0, 5*l + 4*z + 52 = 16 for l.\n' | b'-4\n' | b'Let s(v) = v + 13. Let c be s(-11). Suppose -c*o = 4*o - 12. Solve 5*l - o*z + 12 = 0, 5*l + 4*z + 52 = 16 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(b) be the third derivative of -23*b**7/210 + 1501*b**3/6 - 994*b**2. Differentiate p(u) with respect to u.\n' | b'-92*u**3\n' | b'Let p(b) be the third derivative of -23*b**7/210 + 1501*b**3/6 - 994*b**2. Differentiate p(u) with respect to u.\n' | b'-92*u**3\n' | deepmind/math_dataset |
b'Suppose -4*j + 3*n - 7 = 0, -n - 4*n + 31 = 3*j. Let y(k) = -j*k - 13 + 2*k**3 + 11 - k**3. Give y(-2).\n' | b'-6\n' | b'Suppose -4*j + 3*n - 7 = 0, -n - 4*n + 31 = 3*j. Let y(k) = -j*k - 13 + 2*k**3 + 11 - k**3. Give y(-2).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 x, and 2 t when four letters picked without replacement from mtxxxxxxxxxxxt.\n' | b'1/91\n' | b'Calculate prob of picking 1 m, 1 x, and 2 t when four letters picked without replacement from mtxxxxxxxxxxxt.\n' | b'1/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 e, and 2 m when four letters picked without replacement from zbbbdmemenebedbbdedb.\n' | b'4/969\n' | b'Calculate prob of picking 1 d, 1 e, and 2 m when four letters picked without replacement from zbbbdmemenebedbbdedb.\n' | b'4/969\n' | deepmind/math_dataset |
b'Simplify ((g**(1/8))**(4/7))**(-2/27)*g**(2/23)*g*(g*g/(g**(-1)*g))/g*g*(g**(-2))**(2/27) assuming g is positive.\n' | b'g**(12752/4347)\n' | b'Simplify ((g**(1/8))**(4/7))**(-2/27)*g**(2/23)*g*(g*g/(g**(-1)*g))/g*g*(g**(-2))**(2/27) assuming g is positive.\n' | b'g**(12752/4347)\n' | deepmind/math_dataset |
b'Let x be (-3)/12*2*0. Let y = -29 + 32. Solve 5*r = -x*q - q - y, -3 = q + 2*r for q.\n' | b'-3\n' | b'Let x be (-3)/12*2*0. Let y = -29 + 32. Solve 5*r = -x*q - q - y, -3 = q + 2*r for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(m) = -31*m**2 + 219*m + 3. Let r be c(7). Solve -o + 2*o + r = -4*k, -2*o - 3*k = 19 for o.\n' | b'-5\n' | b'Let c(m) = -31*m**2 + 219*m + 3. Let r be c(7). Solve -o + 2*o + r = -4*k, -2*o - 3*k = 19 for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y/(y/y**3)*y**26)/(y/y**33*y*y**(-16)) assuming y is positive.\n' | b'y**76\n' | b'Simplify (y/(y/y**3)*y**26)/(y/y**33*y*y**(-16)) assuming y is positive.\n' | b'y**76\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fpxswspbpwsppwpxwf. Give prob of picking 1 s, 2 p, and 1 b.\n' | b'1/68\n' | b'Four letters picked without replacement from fpxswspbpwsppwpxwf. Give prob of picking 1 s, 2 p, and 1 b.\n' | b'1/68\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from gmgmmm?\n' | b'1/15\n' | b'What is prob of picking 2 g when two letters picked without replacement from gmgmmm?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, s: 1, c: 3, e: 2, o: 3, u: 2}. What is prob of sequence boeu?\n' | b'1/990\n' | b'Four letters picked without replacement from {b: 1, s: 1, c: 3, e: 2, o: 3, u: 2}. What is prob of sequence boeu?\n' | b'1/990\n' | deepmind/math_dataset |
b'Suppose -b = -2*b + 17. Suppose -h = 4*o - b, -1 = -0*h + 3*h - o. Let k(v) = -h + 5*v**2 + 0*v**2 + 1. Determine k(-1).\n' | b'5\n' | b'Suppose -b = -2*b + 17. Suppose -h = 4*o - b, -1 = -0*h + 3*h - o. Let k(v) = -h + 5*v**2 + 0*v**2 + 1. Determine k(-1).\n' | b'5\n' | deepmind/math_dataset |
b'Let j(c) be the second derivative of 539*c**5/20 + 191*c**3/6 - 3*c**2/2 - 397*c. Find the second derivative of j(d) wrt d.\n' | b'3234*d\n' | b'Let j(c) be the second derivative of 539*c**5/20 + 191*c**3/6 - 3*c**2/2 - 397*c. Find the second derivative of j(d) wrt d.\n' | b'3234*d\n' | deepmind/math_dataset |
b'Simplify (z*z/z**(-1/10)*z/z**(-1/21))/((z*z**(-1/8))/z*z**(-21)) assuming z is positive.\n' | b'z**(20389/840)\n' | b'Simplify (z*z/z**(-1/10)*z/z**(-1/21))/((z*z**(-1/8))/z*z**(-21)) assuming z is positive.\n' | b'z**(20389/840)\n' | deepmind/math_dataset |
b'Simplify (g**(-2)/g**(-7))**(1/29) assuming g is positive.\n' | b'g**(5/29)\n' | b'Simplify (g**(-2)/g**(-7))**(1/29) assuming g is positive.\n' | b'g**(5/29)\n' | deepmind/math_dataset |
b'Suppose 2*v + 148 = 5*f + 131, 0 = -5*f + 5*v + 5. Solve -5*d + 30 = 5*u, -12 = u + f*d - 7*d for u.\n' | b'0\n' | b'Suppose 2*v + 148 = 5*f + 131, 0 = -5*f + 5*v + 5. Solve -5*d + 30 = 5*u, -12 = u + f*d - 7*d for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(k) = -k**2 - 9*k - 3. Let s be n(-8). Solve -t + 4*u - 3 = 0, -s*u = -2*u for t.\n' | b'-3\n' | b'Let n(k) = -k**2 - 9*k - 3. Let s be n(-8). Solve -t + 4*u - 3 = 0, -s*u = -2*u for t.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ik when two letters picked without replacement from nkkkkogkin?\n' | b'1/18\n' | b'What is prob of sequence ik when two letters picked without replacement from nkkkkogkin?\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose 0 = -14896*h + 14965*h - 345. Solve 3*j - h*j - 6 = -z, 5*j = 2*z - 13 for j.\n' | b'-1\n' | b'Suppose 0 = -14896*h + 14965*h - 345. Solve 3*j - h*j - 6 = -z, 5*j = 2*z - 13 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (n**(-10))**(15/7)*n**(3/4)/(n/(n*n**(2/15)*n)) assuming n is positive.\n' | b'n**(-8209/420)\n' | b'Simplify (n**(-10))**(15/7)*n**(3/4)/(n/(n*n**(2/15)*n)) assuming n is positive.\n' | b'n**(-8209/420)\n' | deepmind/math_dataset |
b'Simplify ((t/(t**(-5)*t)*t*t**(19/5)*t)/(t/(t/t**(-1/28))*t*(t**(-23)/t)/t))**(9/8) assuming t is positive.\n' | b't**(43893/1120)\n' | b'Simplify ((t/(t**(-5)*t)*t*t**(19/5)*t)/(t/(t/t**(-1/28))*t*(t**(-23)/t)/t))**(9/8) assuming t is positive.\n' | b't**(43893/1120)\n' | deepmind/math_dataset |
b'Calculate prob of sequence kq when two letters picked without replacement from kqquqqakkkkqkk.\n' | b'5/26\n' | b'Calculate prob of sequence kq when two letters picked without replacement from kqquqqakkkkqkk.\n' | b'5/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddy when three letters picked without replacement from {y: 3, d: 2}.\n' | b'1/10\n' | b'Calculate prob of sequence ddy when three letters picked without replacement from {y: 3, d: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let h = -26 - -28. Suppose 5*f = 4*g - 28, -2*g + 10 = -5*f - 14. Let k(t) = 1 - g*t + 0*t + 0. Calculate k(h).\n' | b'-3\n' | b'Let h = -26 - -28. Suppose 5*f = 4*g - 28, -2*g + 10 = -5*f - 14. Let k(t) = 1 - g*t + 0*t + 0. Calculate k(h).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence zc when two letters picked without replacement from {z: 2, r: 1, x: 1, e: 1, c: 1, a: 2}?\n' | b'1/28\n' | b'What is prob of sequence zc when two letters picked without replacement from {z: 2, r: 1, x: 1, e: 1, c: 1, a: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
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