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'Three letters picked without replacement from {q: 1, s: 4, l: 2, o: 4, y: 2, e: 1}. What is prob of picking 3 l?\n' | b'0\n' | b'Three letters picked without replacement from {q: 1, s: 4, l: 2, o: 4, y: 2, e: 1}. What is prob of picking 3 l?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence sbis when four letters picked without replacement from isosobsooiqsssosib.\n' | b'7/2040\n' | b'Calculate prob of sequence sbis when four letters picked without replacement from isosobsooiqsssosib.\n' | b'7/2040\n' | deepmind/math_dataset |
b'Let m = 2938 + -2936. Solve k = 3*k - m*h + 2, -k - 2*h = -5 for k.\n' | b'1\n' | b'Let m = 2938 + -2936. Solve k = 3*k - m*h + 2, -k - 2*h = -5 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify p**(3/13)*p*p**(-2) assuming p is positive.\n' | b'p**(-10/13)\n' | b'Simplify p**(3/13)*p*p**(-2) assuming p is positive.\n' | b'p**(-10/13)\n' | deepmind/math_dataset |
b'Simplify (h**(-5)*h/h**(5/2))**(-10/13)/(h**(1/5)*h**4)**5 assuming h is positive.\n' | b'h**(-16)\n' | b'Simplify (h**(-5)*h/h**(5/2))**(-10/13)/(h**(1/5)*h**4)**5 assuming h is positive.\n' | b'h**(-16)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 2 s when three letters picked without replacement from {u: 1, f: 2, a: 3, g: 4, s: 6}.\n' | b'3/28\n' | b'Calculate prob of picking 1 g and 2 s when three letters picked without replacement from {u: 1, f: 2, a: 3, g: 4, s: 6}.\n' | b'3/28\n' | deepmind/math_dataset |
b'Let o(m) = -3 + 8*m - m**3 + 2 + 11 - 6*m**2. Give o(-7).\n' | b'3\n' | b'Let o(m) = -3 + 8*m - m**3 + 2 + 11 - 6*m**2. Give o(-7).\n' | b'3\n' | deepmind/math_dataset |
b'Let l(p) = -41*p**3 + 2*p**2 - p. Let c be l(1). Let y(t) = -8*t + 77. Let h be y(10). Let s be (-19)/h + c/30. Solve -s*f - g = -5, -2*f - 11 + 31 = 4*g for f.\n' | b'0\n' | b'Let l(p) = -41*p**3 + 2*p**2 - p. Let c be l(1). Let y(t) = -8*t + 77. Let h be y(10). Let s be (-19)/h + c/30. Solve -s*f - g = -5, -2*f - 11 + 31 = 4*g for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let l be (-5 + 3)/(2/(-2)). Let h be -1 + (-271)/(-4) + 42/(-56). Suppose 155 = -35*k + h*k. Solve 0 = k*i + l*m - 3 + 4, 4*m - 7 = -i for i.\n' | b'-1\n' | b'Let l be (-5 + 3)/(2/(-2)). Let h be -1 + (-271)/(-4) + 42/(-56). Suppose 155 = -35*k + h*k. Solve 0 = k*i + l*m - 3 + 4, 4*m - 7 = -i for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(n) = -n**2 - 8*n - 5. Let s be l(-4). Suppose -m + 0 - 2 = 0. Let b be m + (-4)/(8/(-14)). Solve -3*z + 6 + 3 = a, -z = b*a + s for a.\n' | b'-3\n' | b'Let l(n) = -n**2 - 8*n - 5. Let s be l(-4). Suppose -m + 0 - 2 = 0. Let b be m + (-4)/(8/(-14)). Solve -3*z + 6 + 3 = a, -z = b*a + s for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(o) be the third derivative of o**6/120 + o**5/15 + o**4/12 - o**3/3 - 2*o**2. Give d(-4).\n' | b'-10\n' | b'Let d(o) be the third derivative of o**6/120 + o**5/15 + o**4/12 - o**3/3 - 2*o**2. Give d(-4).\n' | b'-10\n' | deepmind/math_dataset |
b'Let o(p) = -12*p**3 - p**2. Let f be (-920)/25 + (-12)/(-15). Let b be (1 - -2) + f/9. Determine o(b).\n' | b'11\n' | b'Let o(p) = -12*p**3 - p**2. Let f be (-920)/25 + (-12)/(-15). Let b be (1 - -2) + f/9. Determine o(b).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose 0 = -2*a + 4*a - 26. Let d = 84 + -156. Let v be (-1 - 1/2)/(54/d). Solve v*y = -3*m - a, -4*m + 3*y - 23 = -0*y for m.\n' | b'-5\n' | b'Suppose 0 = -2*a + 4*a - 26. Let d = 84 + -156. Let v be (-1 - 1/2)/(54/d). Solve v*y = -3*m - a, -4*m + 3*y - 23 = -0*y for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((d/(d/(d/((d**(3/10)*d)/d)))*d)**(-41)/(d**18)**(-48))**(-37) assuming d is positive.\n' | b'd**(-293891/10)\n' | b'Simplify ((d/(d/(d/((d**(3/10)*d)/d)))*d)**(-41)/(d**18)**(-48))**(-37) assuming d is positive.\n' | b'd**(-293891/10)\n' | deepmind/math_dataset |
b'Let f be 84/56 - 148/(-8). Solve 3*z + 11*v + f = 6*v, 3*z - 3*v = -12 for z.\n' | b'-5\n' | b'Let f be 84/56 - 148/(-8). Solve 3*z + 11*v + f = 6*v, 3*z - 3*v = -12 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence tltt when four letters picked without replacement from {w: 1, l: 3, t: 11}?\n' | b'33/364\n' | b'What is prob of sequence tltt when four letters picked without replacement from {w: 1, l: 3, t: 11}?\n' | b'33/364\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ennhhhensgfhhhhh. What is prob of picking 1 e and 2 n?\n' | b'3/280\n' | b'Three letters picked without replacement from ennhhhensgfhhhhh. What is prob of picking 1 e and 2 n?\n' | b'3/280\n' | deepmind/math_dataset |
b'Let f be ((-2)/6)/((-5 + 7)/(-150)). Let x be ((-60)/f - -3)/((-1)/(-5)). Solve -2*l - 1 = 5*v, 4*v - x*l = 10 + 3 for v.\n' | b'1\n' | b'Let f be ((-2)/6)/((-5 + 7)/(-150)). Let x be ((-60)/f - -3)/((-1)/(-5)). Solve -2*l - 1 = 5*v, 4*v - x*l = 10 + 3 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qhhqhhhhhqqqhhhhhq. What is prob of picking 2 h and 1 q?\n' | b'33/68\n' | b'Three letters picked without replacement from qhhqhhhhhqqqhhhhhq. What is prob of picking 2 h and 1 q?\n' | b'33/68\n' | deepmind/math_dataset |
b'Suppose 0*v = -3*v + 39. Find the second derivative of 14*y**4 - 5*y - 26*y**4 + v*y**4 - 30*y**3 + 2 wrt y.\n' | b'12*y**2 - 180*y\n' | b'Suppose 0*v = -3*v + 39. Find the second derivative of 14*y**4 - 5*y - 26*y**4 + v*y**4 - 30*y**3 + 2 wrt y.\n' | b'12*y**2 - 180*y\n' | deepmind/math_dataset |
b'Let p(d) = -3*d**3 + 37*d**2 - 13*d + 14. Let x be p(12). Solve 5*f - 8 = x*m + 3*f, m + f = 0 for m.\n' | b'-2\n' | b'Let p(d) = -3*d**3 + 37*d**2 - 13*d + 14. Let x be p(12). Solve 5*f - 8 = x*m + 3*f, m + f = 0 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(o) be the second derivative of 5*o + 1/6*o**3 + 1/2*o**2 + 0. Calculate j(-6).\n' | b'-5\n' | b'Let j(o) be the second derivative of 5*o + 1/6*o**3 + 1/2*o**2 + 0. Calculate j(-6).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 2 f when four letters picked without replacement from fpfppffpppp?\n' | b'21/55\n' | b'What is prob of picking 2 p and 2 f when four letters picked without replacement from fpfppffpppp?\n' | b'21/55\n' | deepmind/math_dataset |
b'Suppose -7 = -m - 1. What is the third derivative of -3*u**2 + 3*u**2 + 3*u**2 + 4*u**m wrt u?\n' | b'480*u**3\n' | b'Suppose -7 = -m - 1. What is the third derivative of -3*u**2 + 3*u**2 + 3*u**2 + 4*u**m wrt u?\n' | b'480*u**3\n' | deepmind/math_dataset |
b'Suppose -1 = -f, 4*h - 5*h + 5 = 3*f. Let x(j) = j**2 + j - 2. Let r be x(h). Let k(t) = 276*t**3 - 2*t**2 + 0 + 6*t**2 - 277*t**3 + 3. Calculate k(r).\n' | b'3\n' | b'Suppose -1 = -f, 4*h - 5*h + 5 = 3*f. Let x(j) = j**2 + j - 2. Let r be x(h). Let k(t) = 276*t**3 - 2*t**2 + 0 + 6*t**2 - 277*t**3 + 3. Calculate k(r).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {v: 2, r: 3, s: 5}.\n' | b'1/7\n' | b'Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {v: 2, r: 3, s: 5}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose -2*j = -1 + 5, 0 = 2*g + j + 126. Let d = g + 75. Suppose 3*n + d = -3*u + 5*u, -5*u + 3*n + 28 = 0. Solve u*a = 4*b, 4*a = -2*b - b for b.\n' | b'0\n' | b'Suppose -2*j = -1 + 5, 0 = 2*g + j + 126. Let d = g + 75. Suppose 3*n + d = -3*u + 5*u, -5*u + 3*n + 28 = 0. Solve u*a = 4*b, 4*a = -2*b - b for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(o) = -o**2 - 8*o + 16. Let z be d(-6). Differentiate 170 - 15*x**3 - 25*x**4 + 17*x**3 - z*x**4 + 66 - 29*x**4 with respect to x.\n' | b'-328*x**3 + 6*x**2\n' | b'Let d(o) = -o**2 - 8*o + 16. Let z be d(-6). Differentiate 170 - 15*x**3 - 25*x**4 + 17*x**3 - z*x**4 + 66 - 29*x**4 with respect to x.\n' | b'-328*x**3 + 6*x**2\n' | deepmind/math_dataset |
b'Let l = -40 + 42. Let m(r) be the second derivative of 9/20*r**5 - 9/2*r**l + 0*r**4 + 0*r**3 + 0 + 5*r. Differentiate m(n) with respect to n.\n' | b'27*n**2\n' | b'Let l = -40 + 42. Let m(r) be the second derivative of 9/20*r**5 - 9/2*r**l + 0*r**4 + 0*r**3 + 0 + 5*r. Differentiate m(n) with respect to n.\n' | b'27*n**2\n' | deepmind/math_dataset |
b'Suppose 30 = 2*a + 3*a. Find the third derivative of 28*j**6 + 6*j**2 - 27*j**a - 3*j**2 wrt j.\n' | b'120*j**3\n' | b'Suppose 30 = 2*a + 3*a. Find the third derivative of 28*j**6 + 6*j**2 - 27*j**a - 3*j**2 wrt j.\n' | b'120*j**3\n' | deepmind/math_dataset |
b'Let t(y) = -135*y - 4 - 136*y + 404*y - 136*y. Let a be (-2 - -4) + (-2 - -5). What is t(a)?\n' | b'-19\n' | b'Let t(y) = -135*y - 4 - 136*y + 404*y - 136*y. Let a be (-2 - -4) + (-2 - -5). What is t(a)?\n' | b'-19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 9, x: 7}. Give prob of picking 3 n.\n' | b'3/20\n' | b'Three letters picked without replacement from {n: 9, x: 7}. Give prob of picking 3 n.\n' | b'3/20\n' | deepmind/math_dataset |
b'Simplify ((z*z*z*z*z/(z/z**(-5/2))*z*z)/z**(-2/15))/((z/z**4)/z)**40 assuming z is positive.\n' | b'z**(4909/30)\n' | b'Simplify ((z*z*z*z*z/(z/z**(-5/2))*z*z)/z**(-2/15))/((z/z**4)/z)**40 assuming z is positive.\n' | b'z**(4909/30)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cccqqc. Give prob of sequence qqcc.\n' | b'1/15\n' | b'Four letters picked without replacement from cccqqc. Give prob of sequence qqcc.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -4*m - x = 4*x + 49, 0 = 5*m + 4*x + 50. Let p = m - -8. Solve -2*g = 2*j + 16, 1 = 5*j + p*g + 32 for j.\n' | b'-5\n' | b'Suppose -4*m - x = 4*x + 49, 0 = 5*m + 4*x + 50. Let p = m - -8. Solve -2*g = 2*j + 16, 1 = 5*j + p*g + 32 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*v = -16, -2*i + v + 14 = -2. Suppose 0 = l - 0*s + s - 5, i = 3*s. Let x = -8 + l. Let a(k) = k**2 + 5*k + 6. Determine a(x).\n' | b'6\n' | b'Suppose 4*v = -16, -2*i + v + 14 = -2. Suppose 0 = l - 0*s + s - 5, i = 3*s. Let x = -8 + l. Let a(k) = k**2 + 5*k + 6. Determine a(x).\n' | b'6\n' | deepmind/math_dataset |
b'Let u = 5341/3201 - 2/1067. Let t(i) be the second derivative of 4*i + 0 - u*i**4 + 0*i**3 - 10*i**2. Find the first derivative of t(j) wrt j.\n' | b'-40*j\n' | b'Let u = 5341/3201 - 2/1067. Let t(i) be the second derivative of 4*i + 0 - u*i**4 + 0*i**3 - 10*i**2. Find the first derivative of t(j) wrt j.\n' | b'-40*j\n' | deepmind/math_dataset |
b'Suppose -5*z + 5 + 0 = 0. Solve 4*n = -j + 6*j - z, -3*j = -5*n + 2 for j.\n' | b'1\n' | b'Suppose -5*z + 5 + 0 = 0. Solve 4*n = -j + 6*j - z, -3*j = -5*n + 2 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Differentiate -11*b**2 - 2 - 2 + 13*b**2 wrt b.\n' | b'4*b\n' | b'Differentiate -11*b**2 - 2 - 2 + 13*b**2 wrt b.\n' | b'4*b\n' | deepmind/math_dataset |
b'Suppose 23*c = 3*c + 1940. Suppose 3*o - c = -4*h, -5*h + 5*o = -36 - 59. Solve -h = -5*y - 3*q + 8, 0 = -4*y + q + 7 for y.\n' | b'3\n' | b'Suppose 23*c = 3*c + 1940. Suppose 3*o - c = -4*h, -5*h + 5*o = -36 - 59. Solve -h = -5*y - 3*q + 8, 0 = -4*y + q + 7 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(r) be the first derivative of 3*r**2/2 - 19*r + 18. Let m be x(7). Solve l + 5*c = 28, 3*c - 12 - 9 = -m*l for l.\n' | b'3\n' | b'Let x(r) be the first derivative of 3*r**2/2 - 19*r + 18. Let m be x(7). Solve l + 5*c = 28, 3*c - 12 - 9 = -m*l for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let l(n) = 2 + 3 + n - 2*n + 3. Determine l(5).\n' | b'3\n' | b'Let l(n) = 2 + 3 + n - 2*n + 3. Determine l(5).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence yz when two letters picked without replacement from qyzyzzzzyqzzq?\n' | b'7/52\n' | b'What is prob of sequence yz when two letters picked without replacement from qyzyzzzzyqzzq?\n' | b'7/52\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, x: 1, t: 4, e: 1, s: 2}. Give prob of sequence ts.\n' | b'1/9\n' | b'Two letters picked without replacement from {h: 1, x: 1, t: 4, e: 1, s: 2}. Give prob of sequence ts.\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify (b/b**20*((b/(b*b/(b**(-3)/b*b)))/b)/b)**(2/15) assuming b is positive.\n' | b'b**(-10/3)\n' | b'Simplify (b/b**20*((b/(b*b/(b**(-3)/b*b)))/b)/b)**(2/15) assuming b is positive.\n' | b'b**(-10/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 4, r: 2, m: 2, j: 1, x: 1}. What is prob of picking 1 r and 2 j?\n' | b'0\n' | b'Three letters picked without replacement from {t: 4, r: 2, m: 2, j: 1, x: 1}. What is prob of picking 1 r and 2 j?\n' | b'0\n' | deepmind/math_dataset |
b'Let u be ((-6)/14)/((-25)/175). Differentiate -23 + z**4 - 86*z**u + 98 - 9 with respect to z.\n' | b'4*z**3 - 258*z**2\n' | b'Let u be ((-6)/14)/((-25)/175). Differentiate -23 + z**4 - 86*z**u + 98 - 9 with respect to z.\n' | b'4*z**3 - 258*z**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, b: 4, n: 2, r: 5, z: 7, e: 1}. Give prob of sequence zb.\n' | b'7/95\n' | b'Two letters picked without replacement from {h: 1, b: 4, n: 2, r: 5, z: 7, e: 1}. Give prob of sequence zb.\n' | b'7/95\n' | deepmind/math_dataset |
b'Suppose -24 + 9 = -5*f. What is the first derivative of -f + 2*j**2 - j**2 - j**2 - 2*j**3 wrt j?\n' | b'-6*j**2\n' | b'Suppose -24 + 9 = -5*f. What is the first derivative of -f + 2*j**2 - j**2 - j**2 - 2*j**3 wrt j?\n' | b'-6*j**2\n' | deepmind/math_dataset |
b'Let j(d) be the first derivative of -5*d - 19*d**2 - 40 + 68 + 22*d. What is the first derivative of j(u) wrt u?\n' | b'-38\n' | b'Let j(d) be the first derivative of -5*d - 19*d**2 - 40 + 68 + 22*d. What is the first derivative of j(u) wrt u?\n' | b'-38\n' | deepmind/math_dataset |
b'Let q = 18811 + -18774. Solve -q*s + 12 = -39*s + 3*n, 3*s + 2*n + 5 = 0 for s.\n' | b'-3\n' | b'Let q = 18811 + -18774. Solve -q*s + 12 = -39*s + 3*n, 3*s + 2*n + 5 = 0 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence nol when three letters picked without replacement from onnlollnll.\n' | b'1/24\n' | b'Calculate prob of sequence nol when three letters picked without replacement from onnlollnll.\n' | b'1/24\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ququuuuuquuuqu. What is prob of picking 2 q and 1 u?\n' | b'15/91\n' | b'Three letters picked without replacement from ququuuuuquuuqu. What is prob of picking 2 q and 1 u?\n' | b'15/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence uuv when three letters picked without replacement from ggvwgwuwouggwug.\n' | b'1/455\n' | b'Calculate prob of sequence uuv when three letters picked without replacement from ggvwgwuwouggwug.\n' | b'1/455\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 d when two letters picked without replacement from xdt?\n' | b'1/3\n' | b'What is prob of picking 1 x and 1 d when two letters picked without replacement from xdt?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let z(u) = 2*u + 1. Let g = -83 + 83. Suppose g = -l - s + 2 + 5, 0 = 4*l + 5*s - 32. What is z(l)?\n' | b'7\n' | b'Let z(u) = 2*u + 1. Let g = -83 + 83. Suppose g = -l - s + 2 + 5, 0 = 4*l + 5*s - 32. What is z(l)?\n' | b'7\n' | deepmind/math_dataset |
b'Let h(s) be the second derivative of 182*s**5/5 + 398*s**3/3 - 758*s. Find the second derivative of h(n) wrt n.\n' | b'4368*n\n' | b'Let h(s) be the second derivative of 182*s**5/5 + 398*s**3/3 - 758*s. Find the second derivative of h(n) wrt n.\n' | b'4368*n\n' | deepmind/math_dataset |
b'Let u(s) = 502 + 21*s + 8*s - 327 - 7*s - 261 + s**2. What is u(-25)?\n' | b'-11\n' | b'Let u(s) = 502 + 21*s + 8*s - 327 - 7*s - 261 + s**2. What is u(-25)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (((h*h**29)/h**(-2/3))/((h/h**(2/9))/h*h*h/(((h**(-24)/h*h)/h)/h)))**(-45) assuming h is positive.\n' | b'h**(-130)\n' | b'Simplify (((h*h**29)/h**(-2/3))/((h/h**(2/9))/h*h*h/(((h**(-24)/h*h)/h)/h)))**(-45) assuming h is positive.\n' | b'h**(-130)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cccccccccc. Give prob of sequence ccc.\n' | b'1\n' | b'Three letters picked without replacement from cccccccccc. Give prob of sequence ccc.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from riiibdbibbiibibidb. Give prob of picking 1 b, 1 d, and 1 i.\n' | b'7/51\n' | b'Three letters picked without replacement from riiibdbibbiibibidb. Give prob of picking 1 b, 1 d, and 1 i.\n' | b'7/51\n' | deepmind/math_dataset |
b'Let x(i) = -3*i + 4. Let h(b) = b + 2. Let w be h(4). Let q = w + -4. Let t(r) = 3*r - 2. Let g be t(q). Calculate x(g).\n' | b'-8\n' | b'Let x(i) = -3*i + 4. Let h(b) = b + 2. Let w be h(4). Let q = w + -4. Let t(r) = 3*r - 2. Let g be t(q). Calculate x(g).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxxxxhxhxhxhxxxxxxx. What is prob of sequence hhxh?\n' | b'16/4845\n' | b'Four letters picked without replacement from xxxxxxhxhxhxhxxxxxxx. What is prob of sequence hhxh?\n' | b'16/4845\n' | deepmind/math_dataset |
b'Simplify (((f*f**0*f*f*f)/f*f)**(4/21))**(1/25)*(f/(f/f**(-1/2)))**(-1/22)/(f/(((f**(-2/3)/f)/f)/f)*f*f)**(7/3) assuming f is positive.\n' | b'f**(-1074313/69300)\n' | b'Simplify (((f*f**0*f*f*f)/f*f)**(4/21))**(1/25)*(f/(f/f**(-1/2)))**(-1/22)/(f/(((f**(-2/3)/f)/f)/f)*f*f)**(7/3) assuming f is positive.\n' | b'f**(-1074313/69300)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 2 w when three letters picked without replacement from tnwwt.\n' | b'1/5\n' | b'Calculate prob of picking 1 t and 2 w when three letters picked without replacement from tnwwt.\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, u: 1, x: 1, q: 3, p: 2, r: 4}. What is prob of picking 1 u and 1 q?\n' | b'1/22\n' | b'Two letters picked without replacement from {e: 1, u: 1, x: 1, q: 3, p: 2, r: 4}. What is prob of picking 1 u and 1 q?\n' | b'1/22\n' | deepmind/math_dataset |
b'Let j(s) = 2*s**2 + 2*s - 2. Let g(t) = -t**2 - 6*t - 7. Let n be g(-5). Let f be j(n). What is the second derivative of 5*m**4 + 3*m - 4*m - f*m**4 wrt m?\n' | b'36*m**2\n' | b'Let j(s) = 2*s**2 + 2*s - 2. Let g(t) = -t**2 - 6*t - 7. Let n be g(-5). Let f be j(n). What is the second derivative of 5*m**4 + 3*m - 4*m - f*m**4 wrt m?\n' | b'36*m**2\n' | deepmind/math_dataset |
b'Simplify (((f/(f*f*(f*f**0*f)/f*f)*f)/f)**32)**38 assuming f is positive.\n' | b'f**(-3648)\n' | b'Simplify (((f/(f*f*(f*f**0*f)/f*f)*f)/f)**32)**38 assuming f is positive.\n' | b'f**(-3648)\n' | deepmind/math_dataset |
b'Let q be ((-28)/56)/((-5)/30). Solve s - q*s = -4*v + 30, -2*s - 25 = -3*v for s.\n' | b'-5\n' | b'Let q be ((-28)/56)/((-5)/30). Solve s - q*s = -4*v + 30, -2*s - 25 = -3*v for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(j) = 2*j - 6. Let d be o(6). Let f be ((-22)/33)/(4/d). Let w(x) = 8*x**2 - x - 1. Calculate w(f).\n' | b'8\n' | b'Let o(j) = 2*j - 6. Let d be o(6). Let f be ((-22)/33)/(4/d). Let w(x) = 8*x**2 - x - 1. Calculate w(f).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 3 z when four letters picked without replacement from xxzzxzzzzxxzzzzzxz.\n' | b'22/51\n' | b'Calculate prob of picking 1 x and 3 z when four letters picked without replacement from xxzzxzzzzxxzzzzzxz.\n' | b'22/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 w when two letters picked without replacement from {y: 11, e: 4, w: 4}?\n' | b'2/57\n' | b'What is prob of picking 2 w when two letters picked without replacement from {y: 11, e: 4, w: 4}?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let i(f) = f**3 - 3*f - 1. Let s be i(3). Let q = s + 3. Suppose -3*d + q = d. Solve -d*c - 5*t - 5 = 0, 2*t + 18 = 3*c + 1 for c.\n' | b'3\n' | b'Let i(f) = f**3 - 3*f - 1. Let s be i(3). Let q = s + 3. Suppose -3*d + q = d. Solve -d*c - 5*t - 5 = 0, 2*t + 18 = 3*c + 1 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxjbbbbvnnnb. What is prob of sequence nnb?\n' | b'1/44\n' | b'Three letters picked without replacement from xxjbbbbvnnnb. What is prob of sequence nnb?\n' | b'1/44\n' | deepmind/math_dataset |
b'Let z(v) = 6*v - 5. Let a be z(2). Let q(b) = 3 + 2*b + 1 + 5*b + b**2 - 2*b**2. Give q(a).\n' | b'4\n' | b'Let z(v) = 6*v - 5. Let a be z(2). Let q(b) = 3 + 2*b + 1 + 5*b + b**2 - 2*b**2. Give q(a).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from zwkzqzcqqqzzkzcz?\n' | b'1/120\n' | b'What is prob of picking 2 c when two letters picked without replacement from zwkzqzcqqqzzkzcz?\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of sequence sr when two letters picked without replacement from zssssszszszzr?\n' | b'7/156\n' | b'What is prob of sequence sr when two letters picked without replacement from zssssszszszzr?\n' | b'7/156\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 10, g: 9}. Give prob of picking 1 g and 1 k.\n' | b'10/19\n' | b'Two letters picked without replacement from {k: 10, g: 9}. Give prob of picking 1 g and 1 k.\n' | b'10/19\n' | deepmind/math_dataset |
b'Let u be (-8)/(-6) + 6/9. Let f(r) be the first derivative of 1/6*r**6 + r**u + 0*r**3 + 0*r + 0*r**4 + 0*r**5 - 1. Find the second derivative of f(l) wrt l.\n' | b'20*l**3\n' | b'Let u be (-8)/(-6) + 6/9. Let f(r) be the first derivative of 1/6*r**6 + r**u + 0*r**3 + 0*r + 0*r**4 + 0*r**5 - 1. Find the second derivative of f(l) wrt l.\n' | b'20*l**3\n' | deepmind/math_dataset |
b'Let q(j) = 2*j - 1. Let b be ((-76)/(-10))/((-4)/(-10)). Suppose 10*m - b = 11*m. Let w = -13 - m. Determine q(w).\n' | b'11\n' | b'Let q(j) = 2*j - 1. Let b be ((-76)/(-10))/((-4)/(-10)). Suppose 10*m - b = 11*m. Let w = -13 - m. Determine q(w).\n' | b'11\n' | deepmind/math_dataset |
b'Let b(n) = -119*n + 248. Let g(c) = -c**2 + 595*c - 1244. Let j(h) = 11*b(h) + 2*g(h). Differentiate j(z) with respect to z.\n' | b'-4*z - 119\n' | b'Let b(n) = -119*n + 248. Let g(c) = -c**2 + 595*c - 1244. Let j(h) = 11*b(h) + 2*g(h). Differentiate j(z) with respect to z.\n' | b'-4*z - 119\n' | deepmind/math_dataset |
b'Simplify f**(-4/13)*f**(-8/7)*f/(f*f/((f**(-10)*f)/f))*f*f**(3/5)/f*f assuming f is positive.\n' | b'f**(-4937/455)\n' | b'Simplify f**(-4/13)*f**(-8/7)*f/(f*f/((f**(-10)*f)/f))*f*f**(3/5)/f*f assuming f is positive.\n' | b'f**(-4937/455)\n' | deepmind/math_dataset |
b'Let b(h) = 33*h**2 - 6*h + 5. Let x be b(-3). Let j = -315 + x. Solve -2*m = -j*d + 2*d, d = m + 1 for m.\n' | b'-3\n' | b'Let b(h) = 33*h**2 - 6*h + 5. Let x be b(-3). Let j = -315 + x. Solve -2*m = -j*d + 2*d, d = m + 1 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((u**(-1/3)*u)**(5/6))**(-6/17)/((u/u**0)**(-1/40)*((u*u/(((u*u**(-1))/u)/u)*u*u)/u)/(u/u**(1/7))) assuming u is positive.\n' | b'u**(-61603/14280)\n' | b'Simplify ((u**(-1/3)*u)**(5/6))**(-6/17)/((u/u**0)**(-1/40)*((u*u/(((u*u**(-1))/u)/u)*u*u)/u)/(u/u**(1/7))) assuming u is positive.\n' | b'u**(-61603/14280)\n' | deepmind/math_dataset |
b'What is prob of sequence wpu when three letters picked without replacement from shpsdwuwd?\n' | b'1/252\n' | b'What is prob of sequence wpu when three letters picked without replacement from shpsdwuwd?\n' | b'1/252\n' | deepmind/math_dataset |
b'Suppose -6*a - 3*f = -8*a, -a - f + 5 = 0. Solve -14 = a*n + 36*j - 34*j, 2*n - j - 7 = 0 for n.\n' | b'0\n' | b'Suppose -6*a - 3*f = -8*a, -a - f + 5 = 0. Solve -14 = a*n + 36*j - 34*j, 2*n - j - 7 = 0 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((t**(-3)*t*t**(-8)*t)/(((t**(3/4)/t)/t*t)/t)**(2/127))**(-4/7) assuming t is positive.\n' | b't**(4562/889)\n' | b'Simplify ((t**(-3)*t*t**(-8)*t)/(((t**(3/4)/t)/t*t)/t)**(2/127))**(-4/7) assuming t is positive.\n' | b't**(4562/889)\n' | deepmind/math_dataset |
b'Simplify (y**(-4)/y*y*y)**(-1/7)*(y/((y/(y/(y/y**0)))/y))**(8/9) assuming y is positive.\n' | b'y**(83/63)\n' | b'Simplify (y**(-4)/y*y*y)**(-1/7)*(y/((y/(y/(y/y**0)))/y))**(8/9) assuming y is positive.\n' | b'y**(83/63)\n' | deepmind/math_dataset |
b'Let c(i) = -9*i + 3. Let f(z) = -8*z + 2. Let p(h) = -6*c(h) + 7*f(h). Let w be p(-5). Find the second derivative of 3*a - 3*a**4 - a + w*a**4 + 0*a wrt a.\n' | b'36*a**2\n' | b'Let c(i) = -9*i + 3. Let f(z) = -8*z + 2. Let p(h) = -6*c(h) + 7*f(h). Let w be p(-5). Find the second derivative of 3*a - 3*a**4 - a + w*a**4 + 0*a wrt a.\n' | b'36*a**2\n' | deepmind/math_dataset |
b'Suppose -5*s - 8 = -4*l, 3*l - s - 8 = -l. Let m be l/(-6) - (-70)/30. Find the third derivative of 0*k + 0*k**2 - 7*k**m - 10*k**6 + 0*k wrt k.\n' | b'-1200*k**3\n' | b'Suppose -5*s - 8 = -4*l, 3*l - s - 8 = -l. Let m be l/(-6) - (-70)/30. Find the third derivative of 0*k + 0*k**2 - 7*k**m - 10*k**6 + 0*k wrt k.\n' | b'-1200*k**3\n' | deepmind/math_dataset |
b'Let m(w) = -3*w - 28. Let k be (5/5)/(-1)*9. Give m(k).\n' | b'-1\n' | b'Let m(w) = -3*w - 28. Let k be (5/5)/(-1)*9. Give m(k).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssuktksjsuka. What is prob of sequence sss?\n' | b'1/55\n' | b'Three letters picked without replacement from ssuktksjsuka. What is prob of sequence sss?\n' | b'1/55\n' | deepmind/math_dataset |
b'Simplify (w*w**(3/7))/(((w/(w/(w*w**(-2/7))))/w)/w*w)*w**(1/2)/(w**(3/5)/w) assuming w is positive.\n' | b'w**(183/70)\n' | b'Simplify (w*w**(3/7))/(((w/(w/(w*w**(-2/7))))/w)/w*w)*w**(1/2)/(w**(3/5)/w) assuming w is positive.\n' | b'w**(183/70)\n' | deepmind/math_dataset |
b'Let q be (97/194)/(1/6 + 0). Solve 97*t - 98*t = 3*n + 9, -5*t = 3*n - q for n.\n' | b'-4\n' | b'Let q be (97/194)/(1/6 + 0). Solve 97*t - 98*t = 3*n + 9, -5*t = 3*n - q for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(y) be the second derivative of -y**4/4 + 80*y**3/3 - 3149*y**2/2 + 3*y + 208. Find the first derivative of d(l) wrt l.\n' | b'-6*l + 160\n' | b'Let d(y) be the second derivative of -y**4/4 + 80*y**3/3 - 3149*y**2/2 + 3*y + 208. Find the first derivative of d(l) wrt l.\n' | b'-6*l + 160\n' | deepmind/math_dataset |
b'Simplify ((g**(-1/5)*g)/g*g**24)/((g**(-30)/g)/(g/(g/(g*(g/((((g*g**(-2/65))/g)/g)/g)*g)/g)))) assuming g is positive.\n' | b'g**(3824/65)\n' | b'Simplify ((g**(-1/5)*g)/g*g**24)/((g**(-30)/g)/(g/(g/(g*(g/((((g*g**(-2/65))/g)/g)/g)*g)/g)))) assuming g is positive.\n' | b'g**(3824/65)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, w: 1, j: 2, p: 2, y: 2, e: 3}. Give prob of picking 1 p, 1 j, and 1 w.\n' | b'1/55\n' | b'Three letters picked without replacement from {u: 2, w: 1, j: 2, p: 2, y: 2, e: 3}. Give prob of picking 1 p, 1 j, and 1 w.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let c(h) = -5*h - 48 + 26 + 24. Determine c(4).\n' | b'-18\n' | b'Let c(h) = -5*h - 48 + 26 + 24. Determine c(4).\n' | b'-18\n' | deepmind/math_dataset |
b'Simplify (n**(-1/38)*n*n**21)**28 assuming n is positive.\n' | b'n**(11690/19)\n' | b'Simplify (n**(-1/38)*n*n**21)**28 assuming n is positive.\n' | b'n**(11690/19)\n' | deepmind/math_dataset |
b'Simplify (((r*r*r*r**(1/12))/(r*((r**(4/7)/r)/r)/r))/(r/r**(-1/3)*r)**(-3/20))**17 assuming r is positive.\n' | b'r**(17357/210)\n' | b'Simplify (((r*r*r*r**(1/12))/(r*((r**(4/7)/r)/r)/r))/(r/r**(-1/3)*r)**(-3/20))**17 assuming r is positive.\n' | b'r**(17357/210)\n' | deepmind/math_dataset |
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