question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify ((o**1)**(-24)/(o/o**(-1/3)*(((o/o**(-2/13)*o)/o)/o)/o*o*o))/((o**(1/2)/o)**(-8))**(1/74) assuming o is positive.\n' | b'o**(-38299/1443)\n' | b'Simplify ((o**1)**(-24)/(o/o**(-1/3)*(((o/o**(-2/13)*o)/o)/o)/o*o*o))/((o**(1/2)/o)**(-8))**(1/74) assuming o is positive.\n' | b'o**(-38299/1443)\n' | deepmind/math_dataset |
b'Let z(h) = -h**2 - h + 1. Let q(r) = -4*r + 9. Let f(k) = -q(k) - z(k). Suppose 53 = -4*i - 3*o, -38*o + 35*o - 37 = 2*i. Determine f(i).\n' | b'14\n' | b'Let z(h) = -h**2 - h + 1. Let q(r) = -4*r + 9. Let f(k) = -q(k) - z(k). Suppose 53 = -4*i - 3*o, -38*o + 35*o - 37 = 2*i. Determine f(i).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify m/(m**(6/5)/m*m*m)*m**35*m*m/(m**(-3/8)/m)*m**(2/25) assuming m is positive.\n' | b'm**(7451/200)\n' | b'Simplify m/(m**(6/5)/m*m*m)*m**35*m*m/(m**(-3/8)/m)*m**(2/25) assuming m is positive.\n' | b'm**(7451/200)\n' | deepmind/math_dataset |
b'Let b(m) be the third derivative of m**8/168 - m**7/14 - m**4/24 + 4*m**3/3 - 4*m**2 - 9*m. What is the second derivative of b(j) wrt j?\n' | b'40*j**3 - 180*j**2\n' | b'Let b(m) be the third derivative of m**8/168 - m**7/14 - m**4/24 + 4*m**3/3 - 4*m**2 - 9*m. What is the second derivative of b(j) wrt j?\n' | b'40*j**3 - 180*j**2\n' | deepmind/math_dataset |
b'Simplify m**(-1/6)/((m/((m/(m*((m*(m**(4/15)/m)/m)/m)/m))/m*m))/m) assuming m is positive.\n' | b'm**(77/30)\n' | b'Simplify m**(-1/6)/((m/((m/(m*((m*(m**(4/15)/m)/m)/m)/m))/m*m))/m) assuming m is positive.\n' | b'm**(77/30)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 6, c: 6}. What is prob of picking 2 j?\n' | b'5/22\n' | b'Two letters picked without replacement from {j: 6, c: 6}. What is prob of picking 2 j?\n' | b'5/22\n' | deepmind/math_dataset |
b'Let n(l) = -l**3 + 26*l**2 - 30*l - 43. Let d be n(24). Let p = d + -385. Solve -b - w = 2*w + 20, 15 = -p*b + w for b.\n' | b'-5\n' | b'Let n(l) = -l**3 + 26*l**2 - 30*l - 43. Let d be n(24). Let p = d + -385. Solve -b - w = 2*w + 20, 15 = -p*b + w for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m(y) be the second derivative of 0 + 5*y - 3/2*y**2 + 1/6*y**3. Let q(f) = f**2 + 9*f + 5. Let x be q(-8). Give m(x).\n' | b'-6\n' | b'Let m(y) be the second derivative of 0 + 5*y - 3/2*y**2 + 1/6*y**3. Let q(f) = f**2 + 9*f + 5. Let x be q(-8). Give m(x).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (m*m**(1/4)*m**(1/7))/(m**5)**(-33) assuming m is positive.\n' | b'm**(4659/28)\n' | b'Simplify (m*m**(1/4)*m**(1/7))/(m**5)**(-33) assuming m is positive.\n' | b'm**(4659/28)\n' | deepmind/math_dataset |
b'Suppose -z - 97 = -3*q, 5*q - 5*z = q + 144. Suppose -r - 30 = -q. Let a(s) = 5*s**2 - s. What is a(r)?\n' | b'4\n' | b'Suppose -z - 97 = -3*q, 5*q - 5*z = q + 144. Suppose -r - 30 = -q. Let a(s) = 5*s**2 - s. What is a(r)?\n' | b'4\n' | deepmind/math_dataset |
b'Let d(u) = u**2 - 7*u. Let n be d(8). Let z(f) = -f**2 + 19*f - 16. Let t be z(18). Solve l + 4*c = c + 17, 0 = t*c - n for l.\n' | b'5\n' | b'Let d(u) = u**2 - 7*u. Let n be d(8). Let z(f) = -f**2 + 19*f - 16. Let t be z(18). Solve l + 4*c = c + 17, 0 = t*c - n for l.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (x**7)**(-18) assuming x is positive.\n' | b'x**(-126)\n' | b'Simplify (x**7)**(-18) assuming x is positive.\n' | b'x**(-126)\n' | deepmind/math_dataset |
b'What is prob of sequence lff when three letters picked without replacement from {f: 2, l: 3}?\n' | b'1/10\n' | b'What is prob of sequence lff when three letters picked without replacement from {f: 2, l: 3}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lcccccllll. What is prob of picking 2 c and 2 l?\n' | b'10/21\n' | b'Four letters picked without replacement from lcccccllll. What is prob of picking 2 c and 2 l?\n' | b'10/21\n' | deepmind/math_dataset |
b'Let s(k) = -k**2 - 7*k - 2. Suppose 0 = -5*q - 3 - 7. Let u(a) = 17*a + 31. Let f be u(q). Calculate s(f).\n' | b'10\n' | b'Let s(k) = -k**2 - 7*k - 2. Suppose 0 = -5*q - 3 - 7. Let u(a) = 17*a + 31. Let f be u(q). Calculate s(f).\n' | b'10\n' | deepmind/math_dataset |
b'Let a = 21 + -14. Let y be 24/(-10)*20/(-6). What is the second derivative of y + 5 - a*k + 12*k**2 - 13 wrt k?\n' | b'24\n' | b'Let a = 21 + -14. Let y be 24/(-10)*20/(-6). What is the second derivative of y + 5 - a*k + 12*k**2 - 13 wrt k?\n' | b'24\n' | deepmind/math_dataset |
b'Let j(k) = k**2 - 7*k - 5. Let o = 339 - 330. Determine j(o).\n' | b'13\n' | b'Let j(k) = k**2 - 7*k - 5. Let o = 339 - 330. Determine j(o).\n' | b'13\n' | deepmind/math_dataset |
b'Calculate prob of sequence zzq when three letters picked without replacement from fqfqfzffqwfqfszzwq.\n' | b'5/816\n' | b'Calculate prob of sequence zzq when three letters picked without replacement from fqfqfzffqwfqfszzwq.\n' | b'5/816\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkmkmbbkkkmmmmmmmmbb. What is prob of picking 1 b and 1 k?\n' | b'12/95\n' | b'Two letters picked without replacement from kkmkmbbkkkmmmmmmmmbb. What is prob of picking 1 b and 1 k?\n' | b'12/95\n' | deepmind/math_dataset |
b'Simplify (y/((y**(4/19)/y)/y)*y)/(y/y**(3/28)*y) assuming y is positive.\n' | b'y**(1009/532)\n' | b'Simplify (y/((y**(4/19)/y)/y)*y)/(y/y**(3/28)*y) assuming y is positive.\n' | b'y**(1009/532)\n' | deepmind/math_dataset |
b'Let f = -2 - -6. Suppose h - p = -2, 10 = h + f*p + p. Suppose h = -2*d + 5 + 11. Let t(c) = -c**2 + 8*c - 4. Calculate t(d).\n' | b'-4\n' | b'Let f = -2 - -6. Suppose h - p = -2, 10 = h + f*p + p. Suppose h = -2*d + 5 + 11. Let t(c) = -c**2 + 8*c - 4. Calculate t(d).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (s**27*s)/(s**(-1/18)/s) assuming s is positive.\n' | b's**(523/18)\n' | b'Simplify (s**27*s)/(s**(-1/18)/s) assuming s is positive.\n' | b's**(523/18)\n' | deepmind/math_dataset |
b'Let h(z) be the second derivative of 3817*z**3/3 + 689*z**2 - 6172*z. Differentiate h(w) with respect to w.\n' | b'7634\n' | b'Let h(z) be the second derivative of 3817*z**3/3 + 689*z**2 - 6172*z. Differentiate h(w) with respect to w.\n' | b'7634\n' | deepmind/math_dataset |
b'Suppose 3*n - 1 = -4*b, 7*b - 12*b = -n + 32. Let l(f) = 9*f**2 - 7*f + 6. Let k(q) = -16*q**2 + 13*q - 11. Let s(y) = n*l(y) + 4*k(y). What is s(6)?\n' | b'-20\n' | b'Suppose 3*n - 1 = -4*b, 7*b - 12*b = -n + 32. Let l(f) = 9*f**2 - 7*f + 6. Let k(q) = -16*q**2 + 13*q - 11. Let s(y) = n*l(y) + 4*k(y). What is s(6)?\n' | b'-20\n' | deepmind/math_dataset |
b'What is prob of sequence uk when two letters picked without replacement from uimmftktmftutmmtmt?\n' | b'1/153\n' | b'What is prob of sequence uk when two letters picked without replacement from uimmftktmftutmmtmt?\n' | b'1/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from enoonjnjneeinzj. Give prob of sequence ne.\n' | b'1/14\n' | b'Two letters picked without replacement from enoonjnjneeinzj. Give prob of sequence ne.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -4*r = -f + 12, 2*f + r - 7 = f. Suppose 2*z + 0 = 5*k - 28, -2*z + f = 4*k. Let w = 1714 - 1710. Solve -b - 4 = -5*m, -m - 2*b - k = w for m.\n' | b'0\n' | b'Suppose -4*r = -f + 12, 2*f + r - 7 = f. Suppose 2*z + 0 = 5*k - 28, -2*z + f = 4*k. Let w = 1714 - 1710. Solve -b - 4 = -5*m, -m - 2*b - k = w for m.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i and 1 e when four letters picked without replacement from eiedezdedzzdzziidzz.\n' | b'1/969\n' | b'Calculate prob of picking 3 i and 1 e when four letters picked without replacement from eiedezdedzzdzziidzz.\n' | b'1/969\n' | deepmind/math_dataset |
b'Suppose 5*h - 6*h + 3 = 0. What is the derivative of r**3 - 3*r**h - r**3 - 2 wrt r?\n' | b'-9*r**2\n' | b'Suppose 5*h - 6*h + 3 = 0. What is the derivative of r**3 - 3*r**h - r**3 - 2 wrt r?\n' | b'-9*r**2\n' | deepmind/math_dataset |
b'Let r(j) = -2*j**2 - 70*j - 187. Let i be r(-32). Solve -4*o + 22 = -5*k, 0 = 5*k + i*o - 4*o + 7 for k.\n' | b'-2\n' | b'Let r(j) = -2*j**2 - 70*j - 187. Let i be r(-32). Solve -4*o + 22 = -5*k, 0 = 5*k + i*o - 4*o + 7 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (m**9)**(-10)/(m**(-3/7)/(m*m*m**(-6/5)/m*m)) assuming m is positive.\n' | b'm**(-3107/35)\n' | b'Simplify (m**9)**(-10)/(m**(-3/7)/(m*m*m**(-6/5)/m*m)) assuming m is positive.\n' | b'm**(-3107/35)\n' | deepmind/math_dataset |
b'Let l be (-2)/15 - 1885/(-75). Find the third derivative of l*t + 14*t**2 - t**4 + 31*t**3 - 32*t**2 + 19*t**2 wrt t.\n' | b'-24*t + 186\n' | b'Let l be (-2)/15 - 1885/(-75). Find the third derivative of l*t + 14*t**2 - t**4 + 31*t**3 - 32*t**2 + 19*t**2 wrt t.\n' | b'-24*t + 186\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 s, and 2 m when four letters picked without replacement from xxxxsxxmsmxxxsxxxmx.\n' | b'39/1292\n' | b'Calculate prob of picking 1 x, 1 s, and 2 m when four letters picked without replacement from xxxxsxxmsmxxxsxxxmx.\n' | b'39/1292\n' | deepmind/math_dataset |
b'What is prob of sequence rmdm when four letters picked without replacement from dmdzddmrmdomt?\n' | b'1/286\n' | b'What is prob of sequence rmdm when four letters picked without replacement from dmdzddmrmdomt?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let c be 36/(-30) - ((-252)/35 + -1). Let z(f) = -11*f + 26. Give z(c).\n' | b'-51\n' | b'Let c be 36/(-30) - ((-252)/35 + -1). Let z(f) = -11*f + 26. Give z(c).\n' | b'-51\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {d: 1, v: 1, u: 1, r: 2, n: 1, q: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {d: 1, v: 1, u: 1, r: 2, n: 1, q: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify ((m*m/(m*m*m*m**1*m*m*m)*m)**3/(m*m**1*m)**(-38))/((((m*m**8)/m)/m**(-4))/(m**(-1)*m*m)**5) assuming m is positive.\n' | b'm**95\n' | b'Simplify ((m*m/(m*m*m*m**1*m*m*m)*m)**3/(m*m**1*m)**(-38))/((((m*m**8)/m)/m**(-4))/(m**(-1)*m*m)**5) assuming m is positive.\n' | b'm**95\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 x when three letters picked without replacement from xouxu.\n' | b'1/10\n' | b'Calculate prob of picking 1 o and 2 x when three letters picked without replacement from xouxu.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let a(b) be the third derivative of -b**4/6 + b**3/2 - 2*b**2. What is a(4)?\n' | b'-13\n' | b'Let a(b) be the third derivative of -b**4/6 + b**3/2 - 2*b**2. What is a(4)?\n' | b'-13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from edebeeedesddbeeeeee. What is prob of picking 1 b and 2 e?\n' | b'44/323\n' | b'Three letters picked without replacement from edebeeedesddbeeeeee. What is prob of picking 1 b and 2 e?\n' | b'44/323\n' | deepmind/math_dataset |
b'Simplify (f**(-10))**(-3/2)/(f**24*f**(-14)) assuming f is positive.\n' | b'f**5\n' | b'Simplify (f**(-10))**(-3/2)/(f**24*f**(-14)) assuming f is positive.\n' | b'f**5\n' | deepmind/math_dataset |
b'Calculate prob of sequence qx when two letters picked without replacement from snxznqiz.\n' | b'1/56\n' | b'Calculate prob of sequence qx when two letters picked without replacement from snxznqiz.\n' | b'1/56\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from uuuurruuuru.\n' | b'3/55\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from uuuurruuuru.\n' | b'3/55\n' | deepmind/math_dataset |
b'What is prob of sequence eee when three letters picked without replacement from meeeeeeememmeeme?\n' | b'33/112\n' | b'What is prob of sequence eee when three letters picked without replacement from meeeeeeememmeeme?\n' | b'33/112\n' | deepmind/math_dataset |
b'Let i(u) be the first derivative of -77 + 55/3*u**3 + 1/4*u**4 + 140*u + 0*u**2. What is the first derivative of i(r) wrt r?\n' | b'3*r**2 + 110*r\n' | b'Let i(u) be the first derivative of -77 + 55/3*u**3 + 1/4*u**4 + 140*u + 0*u**2. What is the first derivative of i(r) wrt r?\n' | b'3*r**2 + 110*r\n' | deepmind/math_dataset |
b'Calculate prob of sequence og when two letters picked without replacement from odsosgsowaasawdad.\n' | b'3/272\n' | b'Calculate prob of sequence og when two letters picked without replacement from odsosgsowaasawdad.\n' | b'3/272\n' | deepmind/math_dataset |
b'Let y = -5050 - -5087. Solve -73*q + 78*q + y = -4*j, -5*q + 2*j - 19 = 0 for q.\n' | b'-5\n' | b'Let y = -5050 - -5087. Solve -73*q + 78*q + y = -4*j, -5*q + 2*j - 19 = 0 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 4, f: 1, l: 12, q: 2}. Give prob of picking 4 l.\n' | b'165/1292\n' | b'Four letters picked without replacement from {g: 4, f: 1, l: 12, q: 2}. Give prob of picking 4 l.\n' | b'165/1292\n' | deepmind/math_dataset |
b'Calculate prob of sequence yr when two letters picked without replacement from {r: 1, y: 2}.\n' | b'1/3\n' | b'Calculate prob of sequence yr when two letters picked without replacement from {r: 1, y: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let m(k) = k**2 - k - 5. Let w(s) = -2*s**2 + 3*s + 4 + 11 - s**2. Let c(a) = a**3 - 6*a**2 + a - 3. Let h be c(6). Let v(p) = h*w(p) + 8*m(p). Determine v(0).\n' | b'5\n' | b'Let m(k) = k**2 - k - 5. Let w(s) = -2*s**2 + 3*s + 4 + 11 - s**2. Let c(a) = a**3 - 6*a**2 + a - 3. Let h be c(6). Let v(p) = h*w(p) + 8*m(p). Determine v(0).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((v/(v**(-3/11)*v))/v**(-2/9))**(-15/7) assuming v is positive.\n' | b'v**(-35/33)\n' | b'Simplify ((v/(v**(-3/11)*v))/v**(-2/9))**(-15/7) assuming v is positive.\n' | b'v**(-35/33)\n' | deepmind/math_dataset |
b'Let r = -27 + 60. Let c(y) = -r*y**2 + 34*y**2 - 4*y + 3*y. Give c(-1).\n' | b'2\n' | b'Let r = -27 + 60. Let c(y) = -r*y**2 + 34*y**2 - 4*y + 3*y. Give c(-1).\n' | b'2\n' | deepmind/math_dataset |
b'Let a(c) = c**2 + 20*c - 19. Let f be a(-21). Solve 5*i + w + 17 = 0, -w + f*w = i + 7 for i.\n' | b'-4\n' | b'Let a(c) = c**2 + 20*c - 19. Let f be a(-21). Solve 5*i + w + 17 = 0, -w + f*w = i + 7 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(m) be the first derivative of -m**3/3 + 5*m**2 + 16*m + 48. Differentiate d(g) with respect to g.\n' | b'-2*g + 10\n' | b'Let d(m) be the first derivative of -m**3/3 + 5*m**2 + 16*m + 48. Differentiate d(g) with respect to g.\n' | b'-2*g + 10\n' | deepmind/math_dataset |
b'Simplify (c**(-2)*(c*c*c**(4/3))/c)**(-32)/((c**1)**(-1/5)/((c/(c/(c/c**(2/11))))/((c/(c/(c*c*c**2)*c)*c)/c))) assuming c is positive.\n' | b'c**(-2087/165)\n' | b'Simplify (c**(-2)*(c*c*c**(4/3))/c)**(-32)/((c**1)**(-1/5)/((c/(c/(c/c**(2/11))))/((c/(c/(c*c*c**2)*c)*c)/c))) assuming c is positive.\n' | b'c**(-2087/165)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ttntttttntt. What is prob of sequence ntt?\n' | b'8/55\n' | b'Three letters picked without replacement from ttntttttntt. What is prob of sequence ntt?\n' | b'8/55\n' | deepmind/math_dataset |
b'Let b be (45/(-30))/((-1)/2). Suppose -2*m - p = 0, 3*p + 21 = 3*m + b. What is the derivative of -4 + 3*q**m - 4*q**2 - 3*q**2 + 3 wrt q?\n' | b'-8*q\n' | b'Let b be (45/(-30))/((-1)/2). Suppose -2*m - p = 0, 3*p + 21 = 3*m + b. What is the derivative of -4 + 3*q**m - 4*q**2 - 3*q**2 + 3 wrt q?\n' | b'-8*q\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 g when two letters picked without replacement from {v: 4, c: 2, g: 2}?\n' | b'1/7\n' | b'What is prob of picking 1 c and 1 g when two letters picked without replacement from {v: 4, c: 2, g: 2}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccx when three letters picked without replacement from ccccxx.\n' | b'1/5\n' | b'Calculate prob of sequence ccx when three letters picked without replacement from ccccxx.\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ccjjcgvcgiiccvicvi. What is prob of picking 1 g and 3 i?\n' | b'2/765\n' | b'Four letters picked without replacement from ccjjcgvcgiiccvicvi. What is prob of picking 1 g and 3 i?\n' | b'2/765\n' | deepmind/math_dataset |
b'Simplify ((t*t**(1/4))/t)**(-5/6)*t**(-3)*t/(t*t**2/t) assuming t is positive.\n' | b't**(-101/24)\n' | b'Simplify ((t*t**(1/4))/t)**(-5/6)*t**(-3)*t/(t*t**2/t) assuming t is positive.\n' | b't**(-101/24)\n' | deepmind/math_dataset |
b'Suppose 2*a + 7*h + 105 = 6*a, -3*a = -h - 66. Suppose -m = -2*m + 19. Suppose m = 8*g - a. Solve -5*k - 5*v = 15, -g*k - 5*v = -3*k + 15 for k.\n' | b'0\n' | b'Suppose 2*a + 7*h + 105 = 6*a, -3*a = -h - 66. Suppose -m = -2*m + 19. Suppose m = 8*g - a. Solve -5*k - 5*v = 15, -g*k - 5*v = -3*k + 15 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*h - 2 = -10. Let k(j) = 4*j - 1. Determine k(h).\n' | b'15\n' | b'Suppose -2*h - 2 = -10. Let k(j) = 4*j - 1. Determine k(h).\n' | b'15\n' | deepmind/math_dataset |
b'Let i(k) be the third derivative of k**7/105 - 2729*k**6/120 - k**5/15 + 577*k**4/12 + 2*k**2 - 2524*k. What is the third derivative of i(o) wrt o?\n' | b'48*o - 16374\n' | b'Let i(k) be the third derivative of k**7/105 - 2729*k**6/120 - k**5/15 + 577*k**4/12 + 2*k**2 - 2524*k. What is the third derivative of i(o) wrt o?\n' | b'48*o - 16374\n' | deepmind/math_dataset |
b'Let r(u) = -u**3 - 6*u**2 - 4*u + 3. Suppose -3*z = -8*z - 20. What is r(z)?\n' | b'-13\n' | b'Let r(u) = -u**3 - 6*u**2 - 4*u + 3. Suppose -3*z = -8*z - 20. What is r(z)?\n' | b'-13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffffnn. What is prob of picking 3 f?\n' | b'1/5\n' | b'Three letters picked without replacement from ffffnn. What is prob of picking 3 f?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -u = r + 2*u - 15, -2*r + 45 = u. Suppose 3*s = -3*s + r. What is the second derivative of s*t - 5*t**4 - 6*t - t**4 wrt t?\n' | b'-72*t**2\n' | b'Suppose -u = r + 2*u - 15, -2*r + 45 = u. Suppose 3*s = -3*s + r. What is the second derivative of s*t - 5*t**4 - 6*t - t**4 wrt t?\n' | b'-72*t**2\n' | deepmind/math_dataset |
b'Let z be -2*2/(-10)*15. Suppose -5*a + z = -4*a. Solve -4*i - v = -4, 3*v - a*v = i - 12 for i.\n' | b'0\n' | b'Let z be -2*2/(-10)*15. Suppose -5*a + z = -4*a. Solve -4*i - v = -4, 3*v - a*v = i - 12 for i.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence uegg when four letters picked without replacement from {e: 3, g: 2, u: 10}?\n' | b'1/546\n' | b'What is prob of sequence uegg when four letters picked without replacement from {e: 3, g: 2, u: 10}?\n' | b'1/546\n' | deepmind/math_dataset |
b'Let l be -1 - 8/(-2) - 1. Differentiate 14 - 4*j**l - 6 - 2 - 4 with respect to j.\n' | b'-8*j\n' | b'Let l be -1 - 8/(-2) - 1. Differentiate 14 - 4*j**l - 6 - 2 - 4 with respect to j.\n' | b'-8*j\n' | deepmind/math_dataset |
b'Simplify ((n**5/(n/n**1))/(n**(1/3))**(8/3))/((n*n*n*n**(1/2)*n*n*n)**(6/17)*((n**(-6)/n)/n)/((n**(1/10)*n)/n)) assuming n is positive.\n' | b'n**(15173/1530)\n' | b'Simplify ((n**5/(n/n**1))/(n**(1/3))**(8/3))/((n*n*n*n**(1/2)*n*n*n)**(6/17)*((n**(-6)/n)/n)/((n**(1/10)*n)/n)) assuming n is positive.\n' | b'n**(15173/1530)\n' | deepmind/math_dataset |
b'Let g be ((-60)/70 - (-1)/(-7))*0. Solve -2*s + l = -7 + 2, g = 2*l + 10 for s.\n' | b'0\n' | b'Let g be ((-60)/70 - (-1)/(-7))*0. Solve -2*s + l = -7 + 2, g = 2*l + 10 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(h) be the second derivative of 11*h**7/21 - h**6/30 - 35*h**4/12 + 3*h. Find the third derivative of k(b) wrt b.\n' | b'1320*b**2 - 24*b\n' | b'Let k(h) be the second derivative of 11*h**7/21 - h**6/30 - 35*h**4/12 + 3*h. Find the third derivative of k(b) wrt b.\n' | b'1320*b**2 - 24*b\n' | deepmind/math_dataset |
b'Suppose 2*q = 2*x - 6, -1 - 1 = 4*q - 2*x. What is the derivative of 4 + 0*h**2 - 3*h**3 + 0*h**q + 9 wrt h?\n' | b'-9*h**2\n' | b'Suppose 2*q = 2*x - 6, -1 - 1 = 4*q - 2*x. What is the derivative of 4 + 0*h**2 - 3*h**3 + 0*h**q + 9 wrt h?\n' | b'-9*h**2\n' | deepmind/math_dataset |
b'Suppose 2*f - 17 = 3*a, f + 3*a - 2 = -7. Differentiate -3*b**4 - 231 + 37*b**f + 212 wrt b.\n' | b'136*b**3\n' | b'Suppose 2*f - 17 = 3*a, f + 3*a - 2 = -7. Differentiate -3*b**4 - 231 + 37*b**f + 212 wrt b.\n' | b'136*b**3\n' | deepmind/math_dataset |
b'Suppose -2*f - 2*h = 8, 4*f - 10*h + 20 = -15*h. Solve 4*g = f, -3*i + i - g - 2 = 0 for i.\n' | b'-1\n' | b'Suppose -2*f - 2*h = 8, 4*f - 10*h + 20 = -15*h. Solve 4*g = f, -3*i + i - g - 2 = 0 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o be -3 + 3 + (0 - -3). Let l = o - 6. Let r be (-2)/3 - 2/l. Solve -i + 8 = -p - 4*p, r = 3*i - 5*p - 14 for i.\n' | b'3\n' | b'Let o be -3 + 3 + (0 - -3). Let l = o - 6. Let r be (-2)/3 - 2/l. Solve -i + 8 = -p - 4*p, r = 3*i - 5*p - 14 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let n(w) be the second derivative of 281*w**4/12 - 457*w**3/6 - 721*w. Find the second derivative of n(t) wrt t.\n' | b'562\n' | b'Let n(w) be the second derivative of 281*w**4/12 - 457*w**3/6 - 721*w. Find the second derivative of n(t) wrt t.\n' | b'562\n' | deepmind/math_dataset |
b'Let n(a) = a**2 - 18*a - 10. Let y be n(15). Let o = y + 59. What is the second derivative of 17*j + j**5 - 858*j**o + 858*j**4 wrt j?\n' | b'20*j**3\n' | b'Let n(a) = a**2 - 18*a - 10. Let y be n(15). Let o = y + 59. What is the second derivative of 17*j + j**5 - 858*j**o + 858*j**4 wrt j?\n' | b'20*j**3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*w - 4*w + 14. Find the second derivative of -i + 7*i - w*i**3 + 6*i + 2*i**3 wrt i.\n' | b'-30*i\n' | b'Suppose 0 = 2*w - 4*w + 14. Find the second derivative of -i + 7*i - w*i**3 + 6*i + 2*i**3 wrt i.\n' | b'-30*i\n' | deepmind/math_dataset |
b'Let t(o) = -o**2 + 4. Let n(y) = -y**3 - y**2 + y - 2. Let f be n(-2). Let r be t(f). Solve -w - 2*w + r*h = 1, 5*w - h = 21 for w.\n' | b'5\n' | b'Let t(o) = -o**2 + 4. Let n(y) = -y**3 - y**2 + y - 2. Let f be n(-2). Let r be t(f). Solve -w - 2*w + r*h = 1, 5*w - h = 21 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 1, u: 1, g: 1, o: 1, l: 1, f: 2}. What is prob of sequence fmfg?\n' | b'1/420\n' | b'Four letters picked without replacement from {m: 1, u: 1, g: 1, o: 1, l: 1, f: 2}. What is prob of sequence fmfg?\n' | b'1/420\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 4, m: 14}. What is prob of sequence ymy?\n' | b'7/204\n' | b'Three letters picked without replacement from {y: 4, m: 14}. What is prob of sequence ymy?\n' | b'7/204\n' | deepmind/math_dataset |
b'Suppose z = -2*l + 20, 0 - 25 = -2*z + l. Let j = z + -10. What is the second derivative of 8*t**4 - j*t**4 - 6*t**4 + 7*t wrt t?\n' | b'-24*t**2\n' | b'Suppose z = -2*l + 20, 0 - 25 = -2*z + l. Let j = z + -10. What is the second derivative of 8*t**4 - j*t**4 - 6*t**4 + 7*t wrt t?\n' | b'-24*t**2\n' | deepmind/math_dataset |
b'Let p be (0 - 4)*3/(-6). Suppose -3*r + 25 = 2*d, -3*d - 1 = p*r - 11. Solve 2*f - 2*b = 2, -4*f - b = -r - 13 for f.\n' | b'5\n' | b'Let p be (0 - 4)*3/(-6). Suppose -3*r + 25 = 2*d, -3*d - 1 = p*r - 11. Solve 2*f - 2*b = 2, -4*f - b = -r - 13 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 7, m: 2}. Give prob of sequence uumu.\n' | b'5/36\n' | b'Four letters picked without replacement from {u: 7, m: 2}. Give prob of sequence uumu.\n' | b'5/36\n' | deepmind/math_dataset |
b'Let t = -8 - -7. Let r be (1 - (5 - 2))*t. Solve -5*s + 0*s = r*l - 10, 4*s - 21 = l for l.\n' | b'-5\n' | b'Let t = -8 - -7. Let r be (1 - (5 - 2))*t. Solve -5*s + 0*s = r*l - 10, 4*s - 21 = l for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yrhqi. Give prob of sequence hri.\n' | b'1/60\n' | b'Three letters picked without replacement from yrhqi. Give prob of sequence hri.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((a**(-3)*a*a/(a/a**(-1/4))*a)/(a/(a**(-3/7)*a))**(-15/2))**27 assuming a is positive.\n' | b'a**(1485/28)\n' | b'Simplify ((a**(-3)*a*a/(a/a**(-1/4))*a)/(a/(a**(-3/7)*a))**(-15/2))**27 assuming a is positive.\n' | b'a**(1485/28)\n' | deepmind/math_dataset |
b'Calculate prob of sequence zm when two letters picked without replacement from {m: 1, z: 3}.\n' | b'1/4\n' | b'Calculate prob of sequence zm when two letters picked without replacement from {m: 1, z: 3}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify (g**(2/5))**18*(g*g*g*g**1*g)/g**(1/2)*(g**4*g)/(g/((g/g**(-2/5))/g))*(g*g/g**(2/3)*g)/g**(-2/9) assuming g is positive.\n' | b'g**(1679/90)\n' | b'Simplify (g**(2/5))**18*(g*g*g*g**1*g)/g**(1/2)*(g**4*g)/(g/((g/g**(-2/5))/g))*(g*g/g**(2/3)*g)/g**(-2/9) assuming g is positive.\n' | b'g**(1679/90)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xjtej. What is prob of picking 1 e and 1 j?\n' | b'1/5\n' | b'Two letters picked without replacement from xjtej. What is prob of picking 1 e and 1 j?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let i = 3 + -2. Let j(x) be the first derivative of 7*x**3/3 + x + 4. What is j(i)?\n' | b'8\n' | b'Let i = 3 + -2. Let j(x) be the first derivative of 7*x**3/3 + x + 4. What is j(i)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -17*a + 6*a + 55 = 0. Let o be (0 - (-1)/1)/(1/a). Suppose 0*t + 3*t - 2*m = 23, 41 = o*t - 4*m. Solve 0 = -5*z + 5*q, -3*q + 14 = t*z + 38 for z.\n' | b'-3\n' | b'Suppose -17*a + 6*a + 55 = 0. Let o be (0 - (-1)/1)/(1/a). Suppose 0*t + 3*t - 2*m = 23, 41 = o*t - 4*m. Solve 0 = -5*z + 5*q, -3*q + 14 = t*z + 38 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/8*l**4 - 1/2*l**3. Let s(j) = -j**3 + 3*j**2 - 3*j. Let v be s(2). Give z(v).\n' | b'3\n' | b'Let z(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/8*l**4 - 1/2*l**3. Let s(j) = -j**3 + 3*j**2 - 3*j. Let v be s(2). Give z(v).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence yoj when three letters picked without replacement from {j: 1, o: 3, y: 4, d: 12}?\n' | b'1/570\n' | b'What is prob of sequence yoj when three letters picked without replacement from {j: 1, o: 3, y: 4, d: 12}?\n' | b'1/570\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 1, q: 4, z: 2, j: 2, x: 3}. Give prob of picking 1 j, 2 q, and 1 z.\n' | b'8/165\n' | b'Four letters picked without replacement from {a: 1, q: 4, z: 2, j: 2, x: 3}. Give prob of picking 1 j, 2 q, and 1 z.\n' | b'8/165\n' | deepmind/math_dataset |
b'Let g(v) = -2*v + 2. Let l = -8 - -4. Let j = 8 + l. Give g(j).\n' | b'-6\n' | b'Let g(v) = -2*v + 2. Let l = -8 - -4. Let j = 8 + l. Give g(j).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 1 y, and 2 d when four letters picked without replacement from {y: 1, d: 6, c: 7, e: 1}.\n' | b'1/91\n' | b'Calculate prob of picking 1 e, 1 y, and 2 d when four letters picked without replacement from {y: 1, d: 6, c: 7, e: 1}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence stts when four letters picked without replacement from {c: 1, t: 4, s: 8}.\n' | b'28/715\n' | b'Calculate prob of sequence stts when four letters picked without replacement from {c: 1, t: 4, s: 8}.\n' | b'28/715\n' | deepmind/math_dataset |
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