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 u = 217/9210 + 3/307. Let v(s) be the second derivative of 0*s**5 + 0*s**2 + u*s**6 - 6*s + 0 + 0*s**3 + s**4. Find the third derivative of v(m) wrt m.\n' | b'24*m\n' | b'Let u = 217/9210 + 3/307. Let v(s) be the second derivative of 0*s**5 + 0*s**2 + u*s**6 - 6*s + 0 + 0*s**3 + s**4. Find the third derivative of v(m) wrt m.\n' | b'24*m\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, v: 1, p: 3}. Give prob of sequence vp.\n' | b'3/20\n' | b'Two letters picked without replacement from {a: 1, v: 1, p: 3}. Give prob of sequence vp.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let m(k) be the third derivative of -13*k**8/112 - 2*k**7/105 - k**6/30 - k**5/12 - 5*k**3/2 - 279*k**2. What is the third derivative of m(o) wrt o?\n' | b'-2340*o**2 - 96*o - 24\n' | b'Let m(k) be the third derivative of -13*k**8/112 - 2*k**7/105 - k**6/30 - k**5/12 - 5*k**3/2 - 279*k**2. What is the third derivative of m(o) wrt o?\n' | b'-2340*o**2 - 96*o - 24\n' | deepmind/math_dataset |
b'Let u(a) = -3*a. Suppose -3*b = -2*d + b + 26, -2*d = b - 6. Determine u(d).\n' | b'-15\n' | b'Let u(a) = -3*a. Suppose -3*b = -2*d + b + 26, -2*d = b - 6. Determine u(d).\n' | b'-15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, x: 1, w: 1, v: 1, c: 1}. What is prob of picking 3 s?\n' | b'1/35\n' | b'Three letters picked without replacement from {s: 3, x: 1, w: 1, v: 1, c: 1}. What is prob of picking 3 s?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -5*w = -4*r + 7 + 9, -4*r + 16 = 3*w. Let l(m) = -3*m + 1. Give l(r).\n' | b'-11\n' | b'Suppose -5*w = -4*r + 7 + 9, -4*r + 16 = 3*w. Let l(m) = -3*m + 1. Give l(r).\n' | b'-11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssnnssss. Give prob of sequence ss.\n' | b'15/28\n' | b'Two letters picked without replacement from ssnnssss. Give prob of sequence ss.\n' | b'15/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnnnnynnnnnnn. Give prob of sequence nn.\n' | b'11/13\n' | b'Two letters picked without replacement from nnnnnynnnnnnn. Give prob of sequence nn.\n' | b'11/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 9, r: 6, z: 4}. Give prob of picking 2 a.\n' | b'4/19\n' | b'Two letters picked without replacement from {a: 9, r: 6, z: 4}. Give prob of picking 2 a.\n' | b'4/19\n' | deepmind/math_dataset |
b'Let x = -5 + 6. Let r(w) = -35*w - 20. Let j(p) = -5*p - 3. Let c(t) = 20*j(t) - 3*r(t). Let n be c(x). Solve n*o = -5*d - 0 + 20, 2*d = -o + 6 for o.\n' | b'2\n' | b'Let x = -5 + 6. Let r(w) = -35*w - 20. Let j(p) = -5*p - 3. Let c(t) = 20*j(t) - 3*r(t). Let n be c(x). Solve n*o = -5*d - 0 + 20, 2*d = -o + 6 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Let y(g) = -g**3 - 2*g**2 + 2*g. Let b(u) = 2*u**2 - 26*u + 12 + 0*u**2 - 15. Let x be b(13). Let o be y(x). Solve -3*q + o*n = -6*q + 6, -n - 7 = 4*q for q.\n' | b'-3\n' | b'Let y(g) = -g**3 - 2*g**2 + 2*g. Let b(u) = 2*u**2 - 26*u + 12 + 0*u**2 - 15. Let x be b(13). Let o be y(x). Solve -3*q + o*n = -6*q + 6, -n - 7 = 4*q for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(k) be the third derivative of -5/24*k**4 + 1/12*k**5 - 4 + 1/3*k**3 - 1/120*k**6 + k**2 + 0*k. What is r(4)?\n' | b'-2\n' | b'Let r(k) be the third derivative of -5/24*k**4 + 1/12*k**5 - 4 + 1/3*k**3 - 1/120*k**6 + k**2 + 0*k. What is r(4)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let d = 533 - 531. Suppose 2*f + 3 = -3*z, -5*f = -f + d*z - 6. Solve -f*b + 5*j = 5, 0*j = -b + 2*j - 2 for b.\n' | b'0\n' | b'Let d = 533 - 531. Suppose 2*f + 3 = -3*z, -5*f = -f + d*z - 6. Solve -f*b + 5*j = 5, 0*j = -b + 2*j - 2 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let l be 14/8 - (-1)/4. Suppose 5*j - u = 22, -u + 2 = -l*u. Find the second derivative of -7*v**4 + v - v + 4*v**j + 3*v wrt v.\n' | b'-36*v**2\n' | b'Let l be 14/8 - (-1)/4. Suppose 5*j - u = 22, -u + 2 = -l*u. Find the second derivative of -7*v**4 + v - v + 4*v**j + 3*v wrt v.\n' | b'-36*v**2\n' | deepmind/math_dataset |
b'Simplify (o*o/o**11*o*o*(o**(-3/7)*o)/o)/((o*o**(-1))/o*o*o/(o*o**7*o)) assuming o is positive.\n' | b'o**(4/7)\n' | b'Simplify (o*o/o**11*o*o*(o**(-3/7)*o)/o)/((o*o**(-1))/o*o*o/(o*o**7*o)) assuming o is positive.\n' | b'o**(4/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {l: 4, x: 3, p: 2, e: 1, q: 4}.\n' | b'1/91\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {l: 4, x: 3, p: 2, e: 1, q: 4}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let i(b) = -2*b + 1 + 0*b**2 - 4 - b**2. Let y = 13 - 1. Let n = y - 15. Calculate i(n).\n' | b'-6\n' | b'Let i(b) = -2*b + 1 + 0*b**2 - 4 - b**2. Let y = 13 - 1. Let n = y - 15. Calculate i(n).\n' | b'-6\n' | deepmind/math_dataset |
b'Find the second derivative of -907 + 2495*h + 3344*h**5 - 2498*h - 850*h**5 wrt h.\n' | b'49880*h**3\n' | b'Find the second derivative of -907 + 2495*h + 3344*h**5 - 2498*h - 850*h**5 wrt h.\n' | b'49880*h**3\n' | deepmind/math_dataset |
b'Let a be (-10)/(-3)*6/5. Let b be ((-9)/2)/((-2)/a). Find the first derivative of -3 + b*r**3 - 5*r**4 - 9*r**3 wrt r.\n' | b'-20*r**3\n' | b'Let a be (-10)/(-3)*6/5. Let b be ((-9)/2)/((-2)/a). Find the first derivative of -3 + b*r**3 - 5*r**4 - 9*r**3 wrt r.\n' | b'-20*r**3\n' | deepmind/math_dataset |
b'Let c(k) be the second derivative of k**6/120 + k**5/15 - 5*k**4/24 - k**3/3 + 97*k**2/2 + 30*k. Let r(v) be the first derivative of c(v). What is r(-3)?\n' | b'22\n' | b'Let c(k) be the second derivative of k**6/120 + k**5/15 - 5*k**4/24 - k**3/3 + 97*k**2/2 + 30*k. Let r(v) be the first derivative of c(v). What is r(-3)?\n' | b'22\n' | deepmind/math_dataset |
b'Let p(t) = -2*t**2 + 36*t + 19. Let f be p(17). Let c(i) = -26*i**3 - 2 - 28*i**3 + 2*i**2 + 4*i + f*i**3. What is c(3)?\n' | b'1\n' | b'Let p(t) = -2*t**2 + 36*t + 19. Let f be p(17). Let c(i) = -26*i**3 - 2 - 28*i**3 + 2*i**2 + 4*i + f*i**3. What is c(3)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence sati when four letters picked without replacement from nnasissnnst?\n' | b'1/1980\n' | b'What is prob of sequence sati when four letters picked without replacement from nnasissnnst?\n' | b'1/1980\n' | deepmind/math_dataset |
b'Suppose -13*x = -15*x + 10. Suppose t = x*t + 40. Let w = 12 + t. Solve -l - 2*o = 0, l + w*o - 2 = o for l.\n' | b'4\n' | b'Suppose -13*x = -15*x + 10. Suppose t = x*t + 40. Let w = 12 + t. Solve -l - 2*o = 0, l + w*o - 2 = o for l.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from {i: 9, e: 9}?\n' | b'4/17\n' | b'What is prob of picking 2 e when two letters picked without replacement from {i: 9, e: 9}?\n' | b'4/17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, e: 2, k: 10, c: 1, u: 3, h: 2}. Give prob of picking 2 k, 1 h, and 1 c.\n' | b'6/323\n' | b'Four letters picked without replacement from {w: 2, e: 2, k: 10, c: 1, u: 3, h: 2}. Give prob of picking 2 k, 1 h, and 1 c.\n' | b'6/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ortradrr. What is prob of picking 1 d, 2 r, and 1 o?\n' | b'3/35\n' | b'Four letters picked without replacement from ortradrr. What is prob of picking 1 d, 2 r, and 1 o?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let r = 12 + -19. Let b = -7 - r. Solve -v - 3 = -4*p, b = 2*p + v - 3 for p.\n' | b'1\n' | b'Let r = 12 + -19. Let b = -7 - r. Solve -v - 3 = -4*p, b = 2*p + v - 3 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(d) be the first derivative of -13*d**4/6 - 20*d**3/3 - 6*d**2 - 3. Let y(n) be the second derivative of v(n). Find the first derivative of y(u) wrt u.\n' | b'-52\n' | b'Let v(d) be the first derivative of -13*d**4/6 - 20*d**3/3 - 6*d**2 - 3. Let y(n) be the second derivative of v(n). Find the first derivative of y(u) wrt u.\n' | b'-52\n' | deepmind/math_dataset |
b'What is prob of sequence uuzz when four letters picked without replacement from zuzzuuzuauza?\n' | b'10/297\n' | b'What is prob of sequence uuzz when four letters picked without replacement from zuzzuuzuauza?\n' | b'10/297\n' | deepmind/math_dataset |
b'Let u(x) be the first derivative of x**4/4 - x**3 - 3*x**2/2 - 5*x + 2. Let d be (-12 - (-5 + 1))/(-2). Determine u(d).\n' | b'-1\n' | b'Let u(x) be the first derivative of x**4/4 - x**3 - 3*x**2/2 - 5*x + 2. Let d be (-12 - (-5 + 1))/(-2). Determine u(d).\n' | b'-1\n' | deepmind/math_dataset |
b'Let a = 3 - 5. Let t = 7 + -5. Let n(w) = 2 + 4*w + 0*w - t*w. Determine n(a).\n' | b'-2\n' | b'Let a = 3 - 5. Let t = 7 + -5. Let n(w) = 2 + 4*w + 0*w - t*w. Determine n(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from knkkknnnktknkx. Give prob of sequence tt.\n' | b'0\n' | b'Two letters picked without replacement from knkkknnnktknkx. Give prob of sequence tt.\n' | b'0\n' | deepmind/math_dataset |
b'Let p = -57438 + 57444. Let s(b) be the second derivative of -b**4/12 + 7*b**3/6 - 2*b**2 - b. Determine s(p).\n' | b'2\n' | b'Let p = -57438 + 57444. Let s(b) be the second derivative of -b**4/12 + 7*b**3/6 - 2*b**2 - b. Determine s(p).\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 t when three letters picked without replacement from tqtqqahqeattaqht.\n' | b'5/56\n' | b'Calculate prob of picking 1 q and 2 t when three letters picked without replacement from tqtqqahqeattaqht.\n' | b'5/56\n' | deepmind/math_dataset |
b'Simplify ((z*z*((z/(z/(z**(2/19)/z*z)))/z)/z)/(z*z**(-20)*z*z))**(-16) assuming z is positive.\n' | b'z**(-5200/19)\n' | b'Simplify ((z*z*((z/(z/(z**(2/19)/z*z)))/z)/z)/(z*z**(-20)*z*z))**(-16) assuming z is positive.\n' | b'z**(-5200/19)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sjsjsjjssssjsjsj. What is prob of picking 3 s?\n' | b'3/20\n' | b'Three letters picked without replacement from sjsjsjjssssjsjsj. What is prob of picking 3 s?\n' | b'3/20\n' | deepmind/math_dataset |
b'Suppose -m + 48 = 3*c + 3*m, 3*m = 3*c - 69. Suppose -4*b - j = -2*b + 20, 4*b - 3*j = -c. Let i be 34/10 + b/20. Let n(y) = -y. What is n(i)?\n' | b'-3\n' | b'Suppose -m + 48 = 3*c + 3*m, 3*m = 3*c - 69. Suppose -4*b - j = -2*b + 20, 4*b - 3*j = -c. Let i be 34/10 + b/20. Let n(y) = -y. What is n(i)?\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -4*b - 2*d = -3*b + 4, -4*b = d + 2. Let a(n) = 2 + 3*n**2 - n**2 - 3*n**2. What is a(b)?\n' | b'2\n' | b'Suppose -4*b - 2*d = -3*b + 4, -4*b = d + 2. Let a(n) = 2 + 3*n**2 - n**2 - 3*n**2. What is a(b)?\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 2, p: 10, w: 6}. Give prob of picking 2 w and 2 d.\n' | b'1/204\n' | b'Four letters picked without replacement from {d: 2, p: 10, w: 6}. Give prob of picking 2 w and 2 d.\n' | b'1/204\n' | deepmind/math_dataset |
b'Suppose -3*h + 7 + 3 = -u, 3*u + 4*h - 22 = 0. What is the third derivative of k**6 - 46*k**u + 19*k**2 + 17*k**2 wrt k?\n' | b'120*k**3\n' | b'Suppose -3*h + 7 + 3 = -u, 3*u + 4*h - 22 = 0. What is the third derivative of k**6 - 46*k**u + 19*k**2 + 17*k**2 wrt k?\n' | b'120*k**3\n' | deepmind/math_dataset |
b'Let a(n) be the first derivative of 0*n**4 - 121 + 2/5*n**5 + 0*n**2 + 233/3*n**3 + 0*n + 11/2*n**6. Find the third derivative of a(w) wrt w.\n' | b'1980*w**2 + 48*w\n' | b'Let a(n) be the first derivative of 0*n**4 - 121 + 2/5*n**5 + 0*n**2 + 233/3*n**3 + 0*n + 11/2*n**6. Find the third derivative of a(w) wrt w.\n' | b'1980*w**2 + 48*w\n' | deepmind/math_dataset |
b'Let c(z) = -11*z**3 - 2*z**2 + 1. Let a(r) = -r**3 - 2*r**2 + 111*r - 110. Let h be a(9). What is c(h)?\n' | b'81\n' | b'Let c(z) = -11*z**3 - 2*z**2 + 1. Let a(r) = -r**3 - 2*r**2 + 111*r - 110. Let h be a(9). What is c(h)?\n' | b'81\n' | deepmind/math_dataset |
b'Let c = 16 + -9. Suppose -p = -6*f - 0 - 4, 5*f + p = 4. Solve 4*v = -0*y - 2*y - 10, f = y + 4*v + c for y.\n' | b'-3\n' | b'Let c = 16 + -9. Suppose -p = -6*f - 0 - 4, 5*f + p = 4. Solve 4*v = -0*y - 2*y - 10, f = y + 4*v + c for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let g(z) be the first derivative of -z**2/2 + 5*z - 110. Determine g(14).\n' | b'-9\n' | b'Let g(z) be the first derivative of -z**2/2 + 5*z - 110. Determine g(14).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, w: 2, y: 3, b: 6}. What is prob of sequence yybw?\n' | b'1/455\n' | b'Four letters picked without replacement from {p: 4, w: 2, y: 3, b: 6}. What is prob of sequence yybw?\n' | b'1/455\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-3)/i*i**0*i)/(i*i**2*i/i**2))**30 assuming i is positive.\n' | b'i**(-120)\n' | b'Simplify ((i*i**(-3)/i*i**0*i)/(i*i**2*i/i**2))**30 assuming i is positive.\n' | b'i**(-120)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ip when two letters picked without replacement from {r: 1, v: 2, a: 1, i: 2, p: 1, z: 1}.\n' | b'1/28\n' | b'Calculate prob of sequence ip when two letters picked without replacement from {r: 1, v: 2, a: 1, i: 2, p: 1, z: 1}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let m = 4 - -1. Suppose -4*c - 138 = -m*f, -67 = -2*f - 4*c - 23. Solve 4*p - f = 2*q, 4*q - 3*p + 5*p + 12 = 0 for q.\n' | b'-5\n' | b'Let m = 4 - -1. Suppose -4*c - 138 = -m*f, -67 = -2*f - 4*c - 23. Solve 4*p - f = 2*q, 4*q - 3*p + 5*p + 12 = 0 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*f = 186 + 106. Let n = f - -75. Let m(u) = 3 - n - 8 + 3*u. What is m(5)?\n' | b'8\n' | b'Suppose -4*f = 186 + 106. Let n = f - -75. Let m(u) = 3 - n - 8 + 3*u. What is m(5)?\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, j: 6, r: 5, u: 3, z: 1, l: 1}. What is prob of sequence jz?\n' | b'1/57\n' | b'Two letters picked without replacement from {d: 3, j: 6, r: 5, u: 3, z: 1, l: 1}. What is prob of sequence jz?\n' | b'1/57\n' | deepmind/math_dataset |
b'Simplify ((r/(r*r**(1/4)*r))**(-6/7))**(-10/3) assuming r is positive.\n' | b'r**(-25/7)\n' | b'Simplify ((r/(r*r**(1/4)*r))**(-6/7))**(-10/3) assuming r is positive.\n' | b'r**(-25/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nbnnpnppppbpnp. What is prob of picking 1 n and 2 p?\n' | b'15/52\n' | b'Three letters picked without replacement from nbnnpnppppbpnp. What is prob of picking 1 n and 2 p?\n' | b'15/52\n' | deepmind/math_dataset |
b'Let q(r) = -r**3 - 2*r + 1. Let i(z) = 7*z - 38. Let u be i(6). Let g be 12/(-18)*(-36)/(-8) + u. Calculate q(g).\n' | b'-2\n' | b'Let q(r) = -r**3 - 2*r + 1. Let i(z) = 7*z - 38. Let u be i(6). Let g be 12/(-18)*(-36)/(-8) + u. Calculate q(g).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 2*m + 0 = -4*v + 26, -m + 2*v - 3 = 0. Let g(y) = -268 + 136 - m*y + 132. What is g(1)?\n' | b'-5\n' | b'Suppose 2*m + 0 = -4*v + 26, -m + 2*v - 3 = 0. Let g(y) = -268 + 136 - m*y + 132. What is g(1)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let a(c) = c**3 + 10*c**2 + 8*c - 11. Let x be a(-9). Let z(h) be the first derivative of -h**2 - 5 + 6 - 4 - 13*h + 11*h. Calculate z(x).\n' | b'2\n' | b'Let a(c) = c**3 + 10*c**2 + 8*c - 11. Let x be a(-9). Let z(h) be the first derivative of -h**2 - 5 + 6 - 4 - 13*h + 11*h. Calculate z(x).\n' | b'2\n' | deepmind/math_dataset |
b'Let r(i) be the third derivative of 103*i**7/210 + 17*i**4/8 + 93*i**2. What is the second derivative of r(c) wrt c?\n' | b'1236*c**2\n' | b'Let r(i) be the third derivative of 103*i**7/210 + 17*i**4/8 + 93*i**2. What is the second derivative of r(c) wrt c?\n' | b'1236*c**2\n' | deepmind/math_dataset |
b'Let m be (-3)/(-6)*-2*-1. Let v be (2 - -2)*(m - 0). Suppose b + b - v = 0. Solve 2*d = -o - 2, b*o + 3*o + 3*d - 11 = 0 for o.\n' | b'4\n' | b'Let m be (-3)/(-6)*-2*-1. Let v be (2 - -2)*(m - 0). Suppose b + b - v = 0. Solve 2*d = -o - 2, b*o + 3*o + 3*d - 11 = 0 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -4*s = -4*w - 8, -s - 10 + 12 = 5*w. Let t(y) be the second derivative of y - 3/2*y**2 + 0*y**3 - 7/12*y**4 + w. Differentiate t(b) with respect to b.\n' | b'-14*b\n' | b'Suppose -4*s = -4*w - 8, -s - 10 + 12 = 5*w. Let t(y) be the second derivative of y - 3/2*y**2 + 0*y**3 - 7/12*y**4 + w. Differentiate t(b) with respect to b.\n' | b'-14*b\n' | deepmind/math_dataset |
b'Calculate prob of sequence ci when two letters picked without replacement from ffafififaiffffcfcif.\n' | b'4/171\n' | b'Calculate prob of sequence ci when two letters picked without replacement from ffafififaiffffcfcif.\n' | b'4/171\n' | deepmind/math_dataset |
b'Let h(z) = -z**3 + 10*z**2 - 8*z - 9. Let u be h(9). Let p(t) = -t**3 - t**2 + t + 35. Let k be p(u). Solve -2*o = -d - 15, -k = -3*o + o + 5*d for o.\n' | b'5\n' | b'Let h(z) = -z**3 + 10*z**2 - 8*z - 9. Let u be h(9). Let p(t) = -t**3 - t**2 + t + 35. Let k be p(u). Solve -2*o = -d - 15, -k = -3*o + o + 5*d for o.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 5, r: 4, s: 1, c: 5, w: 4}. What is prob of picking 1 s, 2 c, and 1 w?\n' | b'10/969\n' | b'Four letters picked without replacement from {p: 5, r: 4, s: 1, c: 5, w: 4}. What is prob of picking 1 s, 2 c, and 1 w?\n' | b'10/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 b, and 1 w when three letters picked without replacement from {q: 2, w: 4, z: 2, g: 5, s: 4, b: 2}?\n' | b'40/969\n' | b'What is prob of picking 1 g, 1 b, and 1 w when three letters picked without replacement from {q: 2, w: 4, z: 2, g: 5, s: 4, b: 2}?\n' | b'40/969\n' | deepmind/math_dataset |
b'Let i(b) be the first derivative of b**4/4 + 4*b**3/3 + 2*b**2 + 3*b - 1. Suppose 4 + 0 = -2*t. Let d be i(t). Solve -f + 8 = 4*c, -4*c + d*c - 11 = -3*f for c.\n' | b'1\n' | b'Let i(b) be the first derivative of b**4/4 + 4*b**3/3 + 2*b**2 + 3*b - 1. Suppose 4 + 0 = -2*t. Let d be i(t). Solve -f + 8 = 4*c, -4*c + d*c - 11 = -3*f for c.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, o: 1, x: 3}. What is prob of picking 1 k and 2 x?\n' | b'3/10\n' | b'Three letters picked without replacement from {k: 1, o: 1, x: 3}. What is prob of picking 1 k and 2 x?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify ((u**4*u**(-7)/u*u)/((u/u**(-2/11))/u*u/u**(-7)))/((u*u**(3/5)/u*u/(u**0/u))/(u**(-1/7)*u/(u/u**(2/7)*u))) assuming u is positive.\n' | b'u**(-5636/385)\n' | b'Simplify ((u**4*u**(-7)/u*u)/((u/u**(-2/11))/u*u/u**(-7)))/((u*u**(3/5)/u*u/(u**0/u))/(u**(-1/7)*u/(u/u**(2/7)*u))) assuming u is positive.\n' | b'u**(-5636/385)\n' | deepmind/math_dataset |
b'Suppose -10 = 2*p + 12. Let r be p/(-4) - 2/(-8). Solve -5*c + 12 = 3*h, 4*c = 5*h - r*h + 14 for c.\n' | b'3\n' | b'Suppose -10 = 2*p + 12. Let r be p/(-4) - 2/(-8). Solve -5*c + 12 = 3*h, 4*c = 5*h - r*h + 14 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify u/(u**(3/11)/u*u*u)*(u*(u/(u/(u**(2/37)*u))*u)/u)/u assuming u is positive.\n' | b'u**(318/407)\n' | b'Simplify u/(u**(3/11)/u*u*u)*(u*(u/(u/(u**(2/37)*u))*u)/u)/u assuming u is positive.\n' | b'u**(318/407)\n' | deepmind/math_dataset |
b'Let v = -32 + 21. Let q(y) = -y**3 - 12*y**2 - 11*y + 2. Let l be q(v). Let c(b) be the first derivative of -2*b**3/3 + b**2/2 - 2*b - 295. Determine c(l).\n' | b'-8\n' | b'Let v = -32 + 21. Let q(y) = -y**3 - 12*y**2 - 11*y + 2. Let l be q(v). Let c(b) be the first derivative of -2*b**3/3 + b**2/2 - 2*b - 295. Determine c(l).\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iggjtt. What is prob of picking 1 i and 1 t?\n' | b'2/15\n' | b'Two letters picked without replacement from iggjtt. What is prob of picking 1 i and 1 t?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let v = 9 - 5. Solve -v*r - 12 = -f + 4*f, r = f + 4 for r.\n' | b'0\n' | b'Let v = 9 - 5. Solve -v*r - 12 = -f + 4*f, r = f + 4 for r.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (f**4/f**(-2)*f**7*f*f*f/((f/(f**(-1/10)/f))/f))/(f**(-6)/f**(-3/7))**(-5) assuming f is positive.\n' | b'f**(-907/70)\n' | b'Simplify (f**4/f**(-2)*f**7*f*f*f/((f/(f**(-1/10)/f))/f))/(f**(-6)/f**(-3/7))**(-5) assuming f is positive.\n' | b'f**(-907/70)\n' | deepmind/math_dataset |
b'Let a(x) be the third derivative of -206*x**7/105 - x**6/60 - 853*x**5/60 + x**3/3 - 594*x**2. What is the third derivative of a(k) wrt k?\n' | b'-9888*k - 12\n' | b'Let a(x) be the third derivative of -206*x**7/105 - x**6/60 - 853*x**5/60 + x**3/3 - 594*x**2. What is the third derivative of a(k) wrt k?\n' | b'-9888*k - 12\n' | deepmind/math_dataset |
b'What is prob of sequence hdl when three letters picked without replacement from hmdla?\n' | b'1/60\n' | b'What is prob of sequence hdl when three letters picked without replacement from hmdla?\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify (b**1)**40*b**(-8)/b**4 assuming b is positive.\n' | b'b**28\n' | b'Simplify (b**1)**40*b**(-8)/b**4 assuming b is positive.\n' | b'b**28\n' | deepmind/math_dataset |
b'Let y(k) be the second derivative of 17*k**8/1680 - 41*k**5/120 - 23*k**4/4 - 20*k + 1. Let o(m) be the third derivative of y(m). Differentiate o(q) wrt q.\n' | b'204*q**2\n' | b'Let y(k) be the second derivative of 17*k**8/1680 - 41*k**5/120 - 23*k**4/4 - 20*k + 1. Let o(m) be the third derivative of y(m). Differentiate o(q) wrt q.\n' | b'204*q**2\n' | deepmind/math_dataset |
b'Let r be (-3 + -3)*(-28)/3. Suppose 0 = 3*l - 3*f + f - r, 5*l - 88 = -2*f. Let v be 2 - (10/15)/(2/(-3)). Solve 0 = -2*k - 10, -3*a - v*k - l = -0*a for a.\n' | b'-1\n' | b'Let r be (-3 + -3)*(-28)/3. Suppose 0 = 3*l - 3*f + f - r, 5*l - 88 = -2*f. Let v be 2 - (10/15)/(2/(-3)). Solve 0 = -2*k - 10, -3*a - v*k - l = -0*a for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Let t = 9602 - 9608. Let z(i) be the first derivative of -i**3/3 - 2*i**2 + 6*i + 1. Give z(t).\n' | b'-6\n' | b'Let t = 9602 - 9608. Let z(i) be the first derivative of -i**3/3 - 2*i**2 + 6*i + 1. Give z(t).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, n: 3}. What is prob of sequence pn?\n' | b'1/4\n' | b'Two letters picked without replacement from {p: 1, n: 3}. What is prob of sequence pn?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let b = 1 + 3. Let f = -4 - -9. Suppose 0 = 3*r - 4*r - 5*d - 3, 3*r + d = f. Solve 9 + 1 = 5*c, -2*c - b = -r*u for u.\n' | b'4\n' | b'Let b = 1 + 3. Let f = -4 - -9. Suppose 0 = 3*r - 4*r - 5*d - 3, 3*r + d = f. Solve 9 + 1 = 5*c, -2*c - b = -r*u for u.\n' | b'4\n' | deepmind/math_dataset |
b'Let m(i) be the second derivative of -71*i**6/15 - i**3/3 - 21*i**2/2 - 108*i - 2. What is the second derivative of m(f) wrt f?\n' | b'-1704*f**2\n' | b'Let m(i) be the second derivative of -71*i**6/15 - i**3/3 - 21*i**2/2 - 108*i - 2. What is the second derivative of m(f) wrt f?\n' | b'-1704*f**2\n' | deepmind/math_dataset |
b'Let o(y) be the first derivative of 0*y**3 + 1 - 3/4*y**4 + 0*y**2 - 2*y. Differentiate o(b) with respect to b.\n' | b'-9*b**2\n' | b'Let o(y) be the first derivative of 0*y**3 + 1 - 3/4*y**4 + 0*y**2 - 2*y. Differentiate o(b) with respect to b.\n' | b'-9*b**2\n' | deepmind/math_dataset |
b'Let m(g) = -3 + 19*g - 27*g + 1. Let k be m(-1). Let p(a) = -8*a + k + 11 + a**2 - 10. Give p(6).\n' | b'-5\n' | b'Let m(g) = -3 + 19*g - 27*g + 1. Let k be m(-1). Let p(a) = -8*a + k + 11 + a**2 - 10. Give p(6).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence iii when three letters picked without replacement from {i: 3}?\n' | b'1\n' | b'What is prob of sequence iii when three letters picked without replacement from {i: 3}?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (t**(3/4)*t**(-1))/(t/t**(2/3))**(-11/3) assuming t is positive.\n' | b't**(35/36)\n' | b'Simplify (t**(3/4)*t**(-1))/(t/t**(2/3))**(-11/3) assuming t is positive.\n' | b't**(35/36)\n' | deepmind/math_dataset |
b'Simplify (((j**1/j*j**(-1/2))/((j*(j/(j**(-12)/j))/j)/(j/(j/(j/(j**(-4)*j*j*j))))))**(-23))**(12/11) assuming j is positive.\n' | b'j**(3450/11)\n' | b'Simplify (((j**1/j*j**(-1/2))/((j*(j/(j**(-12)/j))/j)/(j/(j/(j/(j**(-4)*j*j*j))))))**(-23))**(12/11) assuming j is positive.\n' | b'j**(3450/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 p when two letters picked without replacement from {j: 4, v: 1, f: 12, p: 2}?\n' | b'2/171\n' | b'What is prob of picking 1 v and 1 p when two letters picked without replacement from {j: 4, v: 1, f: 12, p: 2}?\n' | b'2/171\n' | deepmind/math_dataset |
b'Let f(x) = x**2 - 2*x - 6. Let j be f(4). Let h(t) = -11 + 8 - 5*t + 6 - t**j. Suppose 2*g + 9 = -5*v, -5*g + 27 = -g - 5*v. What is h(g)?\n' | b'-21\n' | b'Let f(x) = x**2 - 2*x - 6. Let j be f(4). Let h(t) = -11 + 8 - 5*t + 6 - t**j. Suppose 2*g + 9 = -5*v, -5*g + 27 = -g - 5*v. What is h(g)?\n' | b'-21\n' | deepmind/math_dataset |
b'Let l be (354/(-295))/((-1 + -5)*5/100). Solve -p + l*i - 9*i + 6 = 0, 2*i - 3 = -p for p.\n' | b'1\n' | b'Let l be (354/(-295))/((-1 + -5)*5/100). Solve -p + l*i - 9*i + 6 = 0, 2*i - 3 = -p for p.\n' | b'1\n' | deepmind/math_dataset |
b'What is the second derivative of 1015*b - 87*b**2 + 1 - 2067*b + 1037*b wrt b?\n' | b'-174\n' | b'What is the second derivative of 1015*b - 87*b**2 + 1 - 2067*b + 1037*b wrt b?\n' | b'-174\n' | deepmind/math_dataset |
b'Let j(z) = 4. Let k(l) = -1. Let f(g) = -j(g) - 6*k(g). Let p(h) = -39*h + 128. Let b(t) = 2*f(t) - p(t). Differentiate b(q) wrt q.\n' | b'39\n' | b'Let j(z) = 4. Let k(l) = -1. Let f(g) = -j(g) - 6*k(g). Let p(h) = -39*h + 128. Let b(t) = 2*f(t) - p(t). Differentiate b(q) wrt q.\n' | b'39\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 v when two letters picked without replacement from lvylqlvln?\n' | b'1/18\n' | b'What is prob of picking 1 y and 1 v when two letters picked without replacement from lvylqlvln?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let o(d) be the second derivative of -d**6/5 - 9*d**2/2 - 10*d. Find the first derivative of o(j) wrt j.\n' | b'-24*j**3\n' | b'Let o(d) be the second derivative of -d**6/5 - 9*d**2/2 - 10*d. Find the first derivative of o(j) wrt j.\n' | b'-24*j**3\n' | deepmind/math_dataset |
b'Suppose -6*o - 84 = 4*k - o, -o = -k - 12. Let m be (-585)/(-60) + (-2)/k*2. Suppose 0 = 2*g - m - 0. Let j(s) = -s - 1. Determine j(g).\n' | b'-6\n' | b'Suppose -6*o - 84 = 4*k - o, -o = -k - 12. Let m be (-585)/(-60) + (-2)/k*2. Suppose 0 = 2*g - m - 0. Let j(s) = -s - 1. Determine j(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 3, c: 8, p: 3, n: 3}. What is prob of picking 3 p and 1 c?\n' | b'2/595\n' | b'Four letters picked without replacement from {r: 3, c: 8, p: 3, n: 3}. What is prob of picking 3 p and 1 c?\n' | b'2/595\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 a when two letters picked without replacement from yascydst?\n' | b'1/28\n' | b'What is prob of picking 1 t and 1 a when two letters picked without replacement from yascydst?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose -4*x - 3*s - 15 = 0, 5*s + 31 = -3*x + 6. Solve 5*n + g - 25 = 0, -4*g + 4 = -4*n - x*g for n.\n' | b'4\n' | b'Suppose -4*x - 3*s - 15 = 0, 5*s + 31 = -3*x + 6. Solve 5*n + g - 25 = 0, -4*g + 4 = -4*n - x*g for n.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence oo when two letters picked without replacement from oooii?\n' | b'3/10\n' | b'What is prob of sequence oo when two letters picked without replacement from oooii?\n' | b'3/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zozoozzhzzzhhozh. What is prob of picking 4 z?\n' | b'1/26\n' | b'Four letters picked without replacement from zozoozzhzzzhhozh. What is prob of picking 4 z?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let j(z) = z**2 + 2*z + 1. Suppose 1 = l - 2*l. Calculate j(l).\n' | b'0\n' | b'Let j(z) = z**2 + 2*z + 1. Suppose 1 = l - 2*l. Calculate j(l).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffififffffffffif. What is prob of picking 3 f?\n' | b'143/280\n' | b'Three letters picked without replacement from ffififffffffffif. What is prob of picking 3 f?\n' | b'143/280\n' | deepmind/math_dataset |
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