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 j = 1213 - 1210. Let s(g) = g**3 - 2*g**2 - 2*g. Determine s(j).\n' | b'3\n' | b'Let j = 1213 - 1210. Let s(g) = g**3 - 2*g**2 - 2*g. Determine s(j).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 3, z: 2, g: 1, w: 1}. What is prob of sequence owoz?\n' | b'1/70\n' | b'Four letters picked without replacement from {o: 3, z: 2, g: 1, w: 1}. What is prob of sequence owoz?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let i(d) = d**3 + 2*d**2 + 4*d + 27. Let x be i(-3). Let h(j) = -2*j**2 + 9*j - 3. Determine h(x).\n' | b'-21\n' | b'Let i(d) = d**3 + 2*d**2 + 4*d + 27. Let x be i(-3). Let h(j) = -2*j**2 + 9*j - 3. Determine h(x).\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of picking 4 z when four letters picked without replacement from {z: 4, w: 3}?\n' | b'1/35\n' | b'What is prob of picking 4 z when four letters picked without replacement from {z: 4, w: 3}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (n/n**6*n)/n**(-1/11)*n/n**(2/11)*n**(-2/5)/n*n assuming n is positive.\n' | b'n**(-192/55)\n' | b'Simplify (n/n**6*n)/n**(-1/11)*n/n**(2/11)*n**(-2/5)/n*n assuming n is positive.\n' | b'n**(-192/55)\n' | deepmind/math_dataset |
b'Let a(i) = -8*i - 87. Let x = -11007 - -11000. Calculate a(x).\n' | b'-31\n' | b'Let a(i) = -8*i - 87. Let x = -11007 - -11000. Calculate a(x).\n' | b'-31\n' | deepmind/math_dataset |
b'Let p(m) = m**2 + 20*m + 14. Let v = 141 + -160. Let b be p(v). Let q(r) = -2*r + 7. What is q(b)?\n' | b'17\n' | b'Let p(m) = m**2 + 20*m + 14. Let v = 141 + -160. Let b be p(v). Let q(r) = -2*r + 7. What is q(b)?\n' | b'17\n' | deepmind/math_dataset |
b'Let x(a) = -a + 2. Suppose 0 = 4*f + 5*w - 17, 5*f = w + 25 - 11. Calculate x(f).\n' | b'-1\n' | b'Let x(a) = -a + 2. Suppose 0 = 4*f + 5*w - 17, 5*f = w + 25 - 11. Calculate x(f).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence tx when two letters picked without replacement from {l: 1, z: 1, t: 1, x: 1, r: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence tx when two letters picked without replacement from {l: 1, z: 1, t: 1, x: 1, r: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqqq when four letters picked without replacement from qniqnqqqnqqnq.\n' | b'14/143\n' | b'Calculate prob of sequence qqqq when four letters picked without replacement from qniqnqqqnqqnq.\n' | b'14/143\n' | deepmind/math_dataset |
b'Suppose 2*b + 10 = 3*c, -4*b - 4*c - 11 = 9. Let k(x) = -3*x - 19*x**2 - 1 - 2*x + 17*x**2 - 2. What is k(b)?\n' | b'-28\n' | b'Suppose 2*b + 10 = 3*c, -4*b - 4*c - 11 = 9. Let k(x) = -3*x - 19*x**2 - 1 - 2*x + 17*x**2 - 2. What is k(b)?\n' | b'-28\n' | deepmind/math_dataset |
b'Suppose o - 18 = -3*b, -3*b + 6*b + 5*o = 30. Suppose 4*m - b*a = 0, 3*m + 6*a = 2*a. Solve -3*f = -m*u + 3*u + 12, -3*u - f = 4 for u.\n' | b'0\n' | b'Suppose o - 18 = -3*b, -3*b + 6*b + 5*o = 30. Suppose 4*m - b*a = 0, 3*m + 6*a = 2*a. Solve -3*f = -m*u + 3*u + 12, -3*u - f = 4 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let h(f) be the third derivative of f**6/120 + f**5/15 + f**4/24 - f**3/3 + 14*f**2. Let i = -2 - 1. What is h(i)?\n' | b'4\n' | b'Let h(f) be the third derivative of f**6/120 + f**5/15 + f**4/24 - f**3/3 + 14*f**2. Let i = -2 - 1. What is h(i)?\n' | b'4\n' | deepmind/math_dataset |
b'Let y(k) = -2*k**2 + 11*k + 6. Suppose 4*h + p = 5 + 16, 4*p - 4 = 0. Determine y(h).\n' | b'11\n' | b'Let y(k) = -2*k**2 + 11*k + 6. Suppose 4*h + p = 5 + 16, 4*p - 4 = 0. Determine y(h).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose -3*b + 2 + 5 = 2*p, 0 = -5*p - 2*b + 12. Find the first derivative of 4*v + 0*v - 5*v + 5 - p*v wrt v.\n' | b'-3\n' | b'Suppose -3*b + 2 + 5 = 2*p, 0 = -5*p - 2*b + 12. Find the first derivative of 4*v + 0*v - 5*v + 5 - p*v wrt v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(r) = -2436*r**5 + 16*r**2 + 1481*r. Let y(u) = -1624*u**5 + 10*u**2 + 987*u. Let s(g) = -5*w(g) + 8*y(g). Find the second derivative of s(o) wrt o.\n' | b'-16240*o**3\n' | b'Let w(r) = -2436*r**5 + 16*r**2 + 1481*r. Let y(u) = -1624*u**5 + 10*u**2 + 987*u. Let s(g) = -5*w(g) + 8*y(g). Find the second derivative of s(o) wrt o.\n' | b'-16240*o**3\n' | deepmind/math_dataset |
b'Let f(r) be the first derivative of r**2 + 6*r - 4. Let n be f(-6). Let j be n/5*10/(-4). Let d(h) = -3*h. Give d(j).\n' | b'-9\n' | b'Let f(r) be the first derivative of r**2 + 6*r - 4. Let n be f(-6). Let j be n/5*10/(-4). Let d(h) = -3*h. Give d(j).\n' | b'-9\n' | deepmind/math_dataset |
b'Let o(q) = q**2 + 2*q + 3. Let m(i) = -4*i**2 - 8*i - 14. Let a(c) = 2*c**2 + 4*c + 7. Let t(s) = -13*a(s) - 6*m(s). Let j(n) = 14*o(n) + 6*t(n). Give j(-3).\n' | b'6\n' | b'Let o(q) = q**2 + 2*q + 3. Let m(i) = -4*i**2 - 8*i - 14. Let a(c) = 2*c**2 + 4*c + 7. Let t(s) = -13*a(s) - 6*m(s). Let j(n) = 14*o(n) + 6*t(n). Give j(-3).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0*f - 27 = -3*f - 4*h, f + h = 8. Suppose 11 = 4*p - 0*p - u, 0 = f*p + 4*u - 19. Find the second derivative of 3*o + 0*o**3 - o - 2*o**p wrt o.\n' | b'-12*o\n' | b'Suppose 0*f - 27 = -3*f - 4*h, f + h = 8. Suppose 11 = 4*p - 0*p - u, 0 = f*p + 4*u - 19. Find the second derivative of 3*o + 0*o**3 - o - 2*o**p wrt o.\n' | b'-12*o\n' | deepmind/math_dataset |
b'Let b(j) = -j**3 - j + j**2 + 4 - 7 + 8. Give b(0).\n' | b'5\n' | b'Let b(j) = -j**3 - j + j**2 + 4 - 7 + 8. Give b(0).\n' | b'5\n' | deepmind/math_dataset |
b'Let k be ((-6)/15)/(3/(-15)). Let q(c) = -c**3 + 4*c - 12*c**2 + 21*c**2 + 0*c**3 - 13*c**k + 3. Let a = -1246 + 1241. Calculate q(a).\n' | b'8\n' | b'Let k be ((-6)/15)/(3/(-15)). Let q(c) = -c**3 + 4*c - 12*c**2 + 21*c**2 + 0*c**3 - 13*c**k + 3. Let a = -1246 + 1241. Calculate q(a).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (o*(o*(o*(o/(o/(o*o**2*o)))/o)/o*o*o)/o)**(-32/3)*o**(-2/3)/((o/((o/o**(-2/3)*o)/o))/o) assuming o is positive.\n' | b'o**(-63)\n' | b'Simplify (o*(o*(o*(o/(o/(o*o**2*o)))/o)/o*o*o)/o)**(-32/3)*o**(-2/3)/((o/((o/o**(-2/3)*o)/o))/o) assuming o is positive.\n' | b'o**(-63)\n' | deepmind/math_dataset |
b'Let h be 81/6 + 2/4. Suppose -2*z + h = 3*l, -17 = -4*l - z + 5. Solve -5*c + 5*i = -30, 5*c + 5*i = c + l for c.\n' | b'4\n' | b'Let h be 81/6 + 2/4. Suppose -2*z + h = 3*l, -17 = -4*l - z + 5. Solve -5*c + 5*i = -30, 5*c + 5*i = c + l for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence cmd when three letters picked without replacement from {d: 1, n: 1, c: 1, h: 4, m: 1}?\n' | b'1/336\n' | b'What is prob of sequence cmd when three letters picked without replacement from {d: 1, n: 1, c: 1, h: 4, m: 1}?\n' | b'1/336\n' | deepmind/math_dataset |
b'Simplify (x*x/x**42)/(((x/(x**21*x))/x)/x) assuming x is positive.\n' | b'x**(-17)\n' | b'Simplify (x*x/x**42)/(((x/(x**21*x))/x)/x) assuming x is positive.\n' | b'x**(-17)\n' | deepmind/math_dataset |
b'Simplify d**(-17)*d**11*d assuming d is positive.\n' | b'd**(-5)\n' | b'Simplify d**(-17)*d**11*d assuming d is positive.\n' | b'd**(-5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, j: 2, k: 1, r: 7, e: 4, c: 3}. What is prob of sequence dej?\n' | b'1/612\n' | b'Three letters picked without replacement from {d: 1, j: 2, k: 1, r: 7, e: 4, c: 3}. What is prob of sequence dej?\n' | b'1/612\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yypfep. What is prob of sequence pye?\n' | b'1/30\n' | b'Three letters picked without replacement from yypfep. What is prob of sequence pye?\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (p/(p/p**(-6)))/(p**(3/2)*p)*p**(-13)/(p*p**(1/30)*p) assuming p is positive.\n' | b'p**(-353/15)\n' | b'Simplify (p/(p/p**(-6)))/(p**(3/2)*p)*p**(-13)/(p*p**(1/30)*p) assuming p is positive.\n' | b'p**(-353/15)\n' | deepmind/math_dataset |
b'Let g = 8 + 25. Let h = g + -26. Let c(t) = h + 0*t + 4 - 8 - t. Calculate c(-4).\n' | b'7\n' | b'Let g = 8 + 25. Let h = g + -26. Let c(t) = h + 0*t + 4 - 8 - t. Calculate c(-4).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 5775*a + 52 = 5788*a. Let g(z) = -z**3 + 2*z**2 + 3. Let p(d) = -d**3 + d**2 + 3. Let q(x) = 3*g(x) - 2*p(x). Calculate q(a).\n' | b'3\n' | b'Suppose 5775*a + 52 = 5788*a. Let g(z) = -z**3 + 2*z**2 + 3. Let p(d) = -d**3 + d**2 + 3. Let q(x) = 3*g(x) - 2*p(x). Calculate q(a).\n' | b'3\n' | deepmind/math_dataset |
b'Let q(k) = -586*k**4 + 75*k + 8. Let b(t) = -2931*t**4 + 376*t + 43. Let m(o) = -2*b(o) + 11*q(o). What is the second derivative of m(a) wrt a?\n' | b'-7008*a**2\n' | b'Let q(k) = -586*k**4 + 75*k + 8. Let b(t) = -2931*t**4 + 376*t + 43. Let m(o) = -2*b(o) + 11*q(o). What is the second derivative of m(a) wrt a?\n' | b'-7008*a**2\n' | deepmind/math_dataset |
b'Suppose -5*z + 4*z + 3 = 0. Let a = 3 - z. Solve 0 = k - 3*t + 19, 3*k - 5*t = -a*t - 37 for k.\n' | b'-4\n' | b'Suppose -5*z + 4*z + 3 = 0. Let a = 3 - z. Solve 0 = k - 3*t + 19, 3*k - 5*t = -a*t - 37 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 k when three letters picked without replacement from vvuvkupkkkvvvpurk.\n' | b'1/136\n' | b'Calculate prob of picking 2 p and 1 k when three letters picked without replacement from vvuvkupkkkvvvpurk.\n' | b'1/136\n' | deepmind/math_dataset |
b'Suppose -12 = 2*z - 4*f, -3*z + 2*f = f - 2. Solve b + 7 = z*a, -2*b + 5 = 4*a - b for a.\n' | b'2\n' | b'Suppose -12 = 2*z - 4*f, -3*z + 2*f = f - 2. Solve b + 7 = z*a, -2*b + 5 = 4*a - b for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let n = 301 + -289. Solve 5*l + n = 2*g + 2*g, 0 = g + l + 6 for g.\n' | b'-2\n' | b'Let n = 301 + -289. Solve 5*l + n = 2*g + 2*g, 0 = g + l + 6 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -108*m - 44 = -130*m. Let o(k) = -k**2 - 3*k + 2. Calculate o(m).\n' | b'-8\n' | b'Suppose -108*m - 44 = -130*m. Let o(k) = -k**2 - 3*k + 2. Calculate o(m).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose f = 4 + 1. What is the derivative of 7*t - 1 + f - 2*t - 2*t wrt t?\n' | b'3\n' | b'Suppose f = 4 + 1. What is the derivative of 7*t - 1 + f - 2*t - 2*t wrt t?\n' | b'3\n' | deepmind/math_dataset |
b'What is the first derivative of 2*i**3 + 8 - 14*i**3 + 11*i**3 wrt i?\n' | b'-3*i**2\n' | b'What is the first derivative of 2*i**3 + 8 - 14*i**3 + 11*i**3 wrt i?\n' | b'-3*i**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 6, o: 1, m: 3, l: 1, p: 4}. Give prob of sequence pmpo.\n' | b'1/910\n' | b'Four letters picked without replacement from {q: 6, o: 1, m: 3, l: 1, p: 4}. Give prob of sequence pmpo.\n' | b'1/910\n' | deepmind/math_dataset |
b'Let p(t) = -t - 34. Let m be ((-8)/4 - -60)*(10 + 42/(-4)). Calculate p(m).\n' | b'-5\n' | b'Let p(t) = -t - 34. Let m be ((-8)/4 - -60)*(10 + 42/(-4)). Calculate p(m).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g and 1 v when four letters picked without replacement from vggvvgg.\n' | b'12/35\n' | b'Calculate prob of picking 3 g and 1 v when four letters picked without replacement from vggvvgg.\n' | b'12/35\n' | deepmind/math_dataset |
b'Let y(s) = 3*s + 1. Let a(u) = -u**2 + 9*u - 10. Let d be a(7). Determine y(d).\n' | b'13\n' | b'Let y(s) = 3*s + 1. Let a(u) = -u**2 + 9*u - 10. Let d be a(7). Determine y(d).\n' | b'13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 14, n: 1}. Give prob of picking 3 m.\n' | b'4/5\n' | b'Three letters picked without replacement from {m: 14, n: 1}. Give prob of picking 3 m.\n' | b'4/5\n' | deepmind/math_dataset |
b'Suppose d - 15 = 4*d, -s = d - 401. Let t = s - 238. Let u be 2/5 - t/(-30). Solve 3*c - 5*k = 5*c + u, -c = 3*k + 4 for c.\n' | b'2\n' | b'Suppose d - 15 = 4*d, -s = d - 401. Let t = s - 238. Let u be 2/5 - t/(-30). Solve 3*c - 5*k = 5*c + u, -c = 3*k + 4 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (k**(-2/3)*k)**(-49)/(k/((k*k/(k/(k*(k/k**(1/8))/k))*k)/k)*k/((k**(1/3)*k*k)/k)*k*k) assuming k is positive.\n' | b'k**(-137/8)\n' | b'Simplify (k**(-2/3)*k)**(-49)/(k/((k*k/(k/(k*(k/k**(1/8))/k))*k)/k)*k/((k**(1/3)*k*k)/k)*k*k) assuming k is positive.\n' | b'k**(-137/8)\n' | deepmind/math_dataset |
b'Calculate prob of sequence usss when four letters picked without replacement from suuuuss.\n' | b'1/35\n' | b'Calculate prob of sequence usss when four letters picked without replacement from suuuuss.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let n be -22*-3*(-2)/(-12). Let h = 17 - n. Find the third derivative of 24*k**2 + 2*k**6 - 20*k**2 - 3*k**h wrt k.\n' | b'-120*k**3\n' | b'Let n be -22*-3*(-2)/(-12). Let h = 17 - n. Find the third derivative of 24*k**2 + 2*k**6 - 20*k**2 - 3*k**h wrt k.\n' | b'-120*k**3\n' | deepmind/math_dataset |
b'Let l(k) = -k**2 + 5*k + 4. Let j be (6/15)/((2/(-15))/(-2)). Give l(j).\n' | b'-2\n' | b'Let l(k) = -k**2 + 5*k + 4. Let j be (6/15)/((2/(-15))/(-2)). Give l(j).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 7, d: 2, p: 2}. What is prob of sequence pb?\n' | b'7/55\n' | b'Two letters picked without replacement from {b: 7, d: 2, p: 2}. What is prob of sequence pb?\n' | b'7/55\n' | deepmind/math_dataset |
b'Let c be 2/6 - (-11)/3. Suppose c*a = 2*a. Let t be a*(3/(-2) - -2). Solve t = -4*r + 12, -3*v + r + 6 = -3 for v.\n' | b'4\n' | b'Let c be 2/6 - (-11)/3. Suppose c*a = 2*a. Let t be a*(3/(-2) - -2). Solve t = -4*r + 12, -3*v + r + 6 = -3 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((a/(a*a/(a/a**7))*a)/a*a*a)/a**(-25) assuming a is positive.\n' | b'a**20\n' | b'Simplify ((a/(a*a/(a/a**7))*a)/a*a*a)/a**(-25) assuming a is positive.\n' | b'a**20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sssssssssussssssss. Give prob of picking 3 s.\n' | b'5/6\n' | b'Three letters picked without replacement from sssssssssussssssss. Give prob of picking 3 s.\n' | b'5/6\n' | deepmind/math_dataset |
b'Let c(z) = -z**3 + 4 - 4*z**3 + 6*z**3 + 6*z**2 - z + 5*z. What is c(-5)?\n' | b'9\n' | b'Let c(z) = -z**3 + 4 - 4*z**3 + 6*z**3 + 6*z**2 - z + 5*z. What is c(-5)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify y/((y/y**(-21/5))/y)*y**(-16) assuming y is positive.\n' | b'y**(-96/5)\n' | b'Simplify y/((y/y**(-21/5))/y)*y**(-16) assuming y is positive.\n' | b'y**(-96/5)\n' | deepmind/math_dataset |
b'Let u(v) be the first derivative of v**3/3 + 4*v**2 + 13*v + 8. Let i be u(-6). Let h = i - -2. Solve 5*r = -2*c + r + 22, -r = -h for c.\n' | b'5\n' | b'Let u(v) be the first derivative of v**3/3 + 4*v**2 + 13*v + 8. Let i be u(-6). Let h = i - -2. Solve 5*r = -2*c + r + 22, -r = -h for c.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((x**(-15)*x*x*x/x**(-7)*x)**(5/7))**(-21) assuming x is positive.\n' | b'x**60\n' | b'Simplify ((x**(-15)*x*x*x/x**(-7)*x)**(5/7))**(-21) assuming x is positive.\n' | b'x**60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 4, a: 1, m: 2, u: 1, x: 1, s: 3}. What is prob of picking 3 j and 1 x?\n' | b'4/495\n' | b'Four letters picked without replacement from {j: 4, a: 1, m: 2, u: 1, x: 1, s: 3}. What is prob of picking 3 j and 1 x?\n' | b'4/495\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wqowgyw. Give prob of picking 1 g and 1 q.\n' | b'1/21\n' | b'Two letters picked without replacement from wqowgyw. Give prob of picking 1 g and 1 q.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let q be 64/24*15/2. Suppose 5*t + 0*t = q. Let l(b) = -b**3 + 3*b**2 + b. Determine l(t).\n' | b'-12\n' | b'Let q be 64/24*15/2. Suppose 5*t + 0*t = q. Let l(b) = -b**3 + 3*b**2 + b. Determine l(t).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify m*(m/((m/m**(1/3))/m))/m*m**(-1/3)*((m*m/(((m/(((m/m**(-3/5))/m)/m))/m)/m)*m)/m)**(14/9) assuming m is positive.\n' | b'm**(227/45)\n' | b'Simplify m*(m/((m/m**(1/3))/m))/m*m**(-1/3)*((m*m/(((m/(((m/m**(-3/5))/m)/m))/m)/m)*m)/m)**(14/9) assuming m is positive.\n' | b'm**(227/45)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, e: 1, q: 1, z: 4}. Give prob of picking 2 j.\n' | b'1/28\n' | b'Two letters picked without replacement from {j: 2, e: 1, q: 1, z: 4}. Give prob of picking 2 j.\n' | b'1/28\n' | deepmind/math_dataset |
b'Find the first derivative of -221*m**2 + 255 + 52*m**2 + 22*m**2 - 180*m**2 wrt m.\n' | b'-654*m\n' | b'Find the first derivative of -221*m**2 + 255 + 52*m**2 + 22*m**2 - 180*m**2 wrt m.\n' | b'-654*m\n' | deepmind/math_dataset |
b'Let j(s) be the second derivative of -5*s**3/3 - 7*s**2 - 4*s. What is the derivative of j(p) wrt p?\n' | b'-10\n' | b'Let j(s) be the second derivative of -5*s**3/3 - 7*s**2 - 4*s. What is the derivative of j(p) wrt p?\n' | b'-10\n' | deepmind/math_dataset |
b'Let n = -4059 + 4061. Solve 0 = 2*a - n*d - 7 + 9, -16 = 4*a - d for a.\n' | b'-5\n' | b'Let n = -4059 + 4061. Solve 0 = 2*a - n*d - 7 + 9, -16 = 4*a - d for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Find the second derivative of 176*n**5 + 145 - 2*n**4 - 496*n**5 - n**3 + 0*n**3 - 117 - 3*n wrt n.\n' | b'-6400*n**3 - 24*n**2 - 6*n\n' | b'Find the second derivative of 176*n**5 + 145 - 2*n**4 - 496*n**5 - n**3 + 0*n**3 - 117 - 3*n wrt n.\n' | b'-6400*n**3 - 24*n**2 - 6*n\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvgzzqtl. What is prob of sequence tz?\n' | b'1/28\n' | b'Two letters picked without replacement from vvgzzqtl. What is prob of sequence tz?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (q*q/(q**(-2/9)/q)*q)**(5/16)*(q**(-8)/q)/(q*q/q**(-13)*q) assuming q is positive.\n' | b'q**(-1705/72)\n' | b'Simplify (q*q/(q**(-2/9)/q)*q)**(5/16)*(q**(-8)/q)/(q*q/q**(-13)*q) assuming q is positive.\n' | b'q**(-1705/72)\n' | deepmind/math_dataset |
b'Let q = -72 + 92. Let j be (-3)/(q/16 - 2). Find the third derivative of -11*r**4 + r**2 + 13*r**2 - r**j wrt r.\n' | b'-288*r\n' | b'Let q = -72 + 92. Let j be (-3)/(q/16 - 2). Find the third derivative of -11*r**4 + r**2 + 13*r**2 - r**j wrt r.\n' | b'-288*r\n' | deepmind/math_dataset |
b'Let l(d) = 2*d + 37. Let t be l(-17). Solve 8 = -5*s - 2*q, 2*s = 4*s + t*q + 1 for s.\n' | b'-2\n' | b'Let l(d) = 2*d + 37. Let t be l(-17). Solve 8 = -5*s - 2*q, 2*s = 4*s + t*q + 1 for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = y - 5*y + 16. Let q(j) = -y*j + 5*j**2 - 4 + j**2 - 5*j**2. Give q(6).\n' | b'8\n' | b'Suppose 0 = y - 5*y + 16. Let q(j) = -y*j + 5*j**2 - 4 + j**2 - 5*j**2. Give q(6).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (((a*a**1)/a*a*a)**(-43/5))**25 assuming a is positive.\n' | b'a**(-645)\n' | b'Simplify (((a*a**1)/a*a*a)**(-43/5))**25 assuming a is positive.\n' | b'a**(-645)\n' | deepmind/math_dataset |
b'Suppose -t + 3*t - 10 = 0. Suppose 20 = t*y - 0*y. What is the derivative of -y + 6 + 4*m**3 - 10*m**3 wrt m?\n' | b'-18*m**2\n' | b'Suppose -t + 3*t - 10 = 0. Suppose 20 = t*y - 0*y. What is the derivative of -y + 6 + 4*m**3 - 10*m**3 wrt m?\n' | b'-18*m**2\n' | deepmind/math_dataset |
b'Simplify ((v**(2/7))**32/(v**(-2/3)*v**(-7)/v))**(-1/27) assuming v is positive.\n' | b'v**(-374/567)\n' | b'Simplify ((v**(2/7))**32/(v**(-2/3)*v**(-7)/v))**(-1/27) assuming v is positive.\n' | b'v**(-374/567)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from llllllllzlllllllllol. Give prob of picking 3 z and 1 l.\n' | b'0\n' | b'Four letters picked without replacement from llllllllzlllllllllol. Give prob of picking 3 z and 1 l.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y**(-5)*y*y**3)**(-1/25)*(y**0)**(3/7)/(y**(4/5)/(y*y*y**(1/4))) assuming y is positive.\n' | b'y**(149/100)\n' | b'Simplify (y**(-5)*y*y**3)**(-1/25)*(y**0)**(3/7)/(y**(4/5)/(y*y*y**(1/4))) assuming y is positive.\n' | b'y**(149/100)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, q: 9}. Give prob of picking 2 q and 1 s.\n' | b'24/55\n' | b'Three letters picked without replacement from {s: 2, q: 9}. Give prob of picking 2 q and 1 s.\n' | b'24/55\n' | deepmind/math_dataset |
b'Suppose -5*n + 3 = -3*w + 13, 3*n = 4*w - 17. Let j = -9 + w. Let a(t) = t**2 + 7*t + 6. What is a(j)?\n' | b'-6\n' | b'Suppose -5*n + 3 = -3*w + 13, 3*n = 4*w - 17. Let j = -9 + w. Let a(t) = t**2 + 7*t + 6. What is a(j)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (s**0)**43/((s*s*s/s**(-2/7)*s*s*s*s*s*s)/s**(-3/5)) assuming s is positive.\n' | b's**(-346/35)\n' | b'Simplify (s**0)**43/((s*s*s/s**(-2/7)*s*s*s*s*s*s)/s**(-3/5)) assuming s is positive.\n' | b's**(-346/35)\n' | deepmind/math_dataset |
b'Simplify d**(-4)/d*d/(d/(d**(5/3)*d))*(d**(-1/3))**(1/48) assuming d is positive.\n' | b'd**(-337/144)\n' | b'Simplify d**(-4)/d*d/(d/(d**(5/3)*d))*(d**(-1/3))**(1/48) assuming d is positive.\n' | b'd**(-337/144)\n' | deepmind/math_dataset |
b'Suppose 72 = 3*o + 2*s + s, 4*o = -5*s + 99. Let n be 3*(-49)/o - -7. Solve n = -4*x - 5*j + 16, 2*j - 14 = 2*x - j for x.\n' | b'-1\n' | b'Suppose 72 = 3*o + 2*s + s, 4*o = -5*s + 99. Let n be 3*(-49)/o - -7. Solve n = -4*x - 5*j + 16, 2*j - 14 = 2*x - j for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(t) be the second derivative of 21*t**5/20 - t**4/6 + 2089*t**2/2 + 332*t + 1. Find the first derivative of d(z) wrt z.\n' | b'63*z**2 - 4*z\n' | b'Let d(t) be the second derivative of 21*t**5/20 - t**4/6 + 2089*t**2/2 + 332*t + 1. Find the first derivative of d(z) wrt z.\n' | b'63*z**2 - 4*z\n' | deepmind/math_dataset |
b'Let h = 3 + -1. Suppose 1 = h*y + 3. Let f = y - -7. Solve -4*s = 12, s - 18 = t + f*s for t.\n' | b'-3\n' | b'Let h = 3 + -1. Suppose 1 = h*y + 3. Let f = y - -7. Solve -4*s = 12, s - 18 = t + f*s for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*r - r + 1. Let o be (-1 - -1)/(r + 0). Solve 3*t - 17 = -o*a + 4*a, a = 5*t for a.\n' | b'-5\n' | b'Suppose 0 = 2*r - r + 1. Let o be (-1 - -1)/(r + 0). Solve 3*t - 17 = -o*a + 4*a, a = 5*t for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxxxxx. Give prob of picking 3 x.\n' | b'1\n' | b'Three letters picked without replacement from xxxxxxxxx. Give prob of picking 3 x.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (j**(-1/10)/j**(2/11))/(j**(1/2)/j)**(-7) assuming j is positive.\n' | b'j**(-208/55)\n' | b'Simplify (j**(-1/10)/j**(2/11))/(j**(1/2)/j)**(-7) assuming j is positive.\n' | b'j**(-208/55)\n' | deepmind/math_dataset |
b'Simplify ((k*k*k*k**(3/4)*k**(-4)*k)/(k**(1/7)*k**(3/7)))/(k*k**(-4)*k*(k*k**(-6)*k)/k*k**6*k*k*k**(-6)) assuming k is positive.\n' | b'k**(145/28)\n' | b'Simplify ((k*k*k*k**(3/4)*k**(-4)*k)/(k**(1/7)*k**(3/7)))/(k*k**(-4)*k*(k*k**(-6)*k)/k*k**6*k*k*k**(-6)) assuming k is positive.\n' | b'k**(145/28)\n' | deepmind/math_dataset |
b'Let n = -39 + 27. Let q be (-5)/(-30)*-2*n. Find the third derivative of 0*p**2 - 3*p**2 + 16*p**q + 6*p**2 wrt p.\n' | b'384*p\n' | b'Let n = -39 + 27. Let q be (-5)/(-30)*-2*n. Find the third derivative of 0*p**2 - 3*p**2 + 16*p**q + 6*p**2 wrt p.\n' | b'384*p\n' | deepmind/math_dataset |
b'Simplify (m**(-1/3))**13*m**2*m/(m**(-2/13)/m) assuming m is positive.\n' | b'm**(-7/39)\n' | b'Simplify (m**(-1/3))**13*m**2*m/(m**(-2/13)/m) assuming m is positive.\n' | b'm**(-7/39)\n' | deepmind/math_dataset |
b'Let y = -61 + 66. Let w(r) = -r**3 + 6*r**2 - 5. What is w(y)?\n' | b'20\n' | b'Let y = -61 + 66. Let w(r) = -r**3 + 6*r**2 - 5. What is w(y)?\n' | b'20\n' | deepmind/math_dataset |
b'Simplify u/u**(-6)*(u*u**16/u)/u*u*(u*(u**(1/21)*u)/u)/u**15 assuming u is positive.\n' | b'u**(190/21)\n' | b'Simplify u/u**(-6)*(u*u**16/u)/u*u*(u*(u**(1/21)*u)/u)/u**15 assuming u is positive.\n' | b'u**(190/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, f: 10, z: 3}. Give prob of sequence zhh.\n' | b'1/455\n' | b'Three letters picked without replacement from {h: 2, f: 10, z: 3}. Give prob of sequence zhh.\n' | b'1/455\n' | deepmind/math_dataset |
b'Simplify ((((x**0*x)/x)**44)**(11/4))**(-3) assuming x is positive.\n' | b'1\n' | b'Simplify ((((x**0*x)/x)**44)**(11/4))**(-3) assuming x is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let j be 1 + 0 + 1 + 0. Let x(o) = o**j + 5 + 2*o**2 - 2 + o**3. Let i be x(-3). Solve -3*v + 7 = -0*r + r, v = -i*r - 3 for r.\n' | b'-2\n' | b'Let j be 1 + 0 + 1 + 0. Let x(o) = o**j + 5 + 2*o**2 - 2 + o**3. Let i be x(-3). Solve -3*v + 7 = -0*r + r, v = -i*r - 3 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (q**47*q/(q**2*q))/(q**23)**(-20) assuming q is positive.\n' | b'q**505\n' | b'Simplify (q**47*q/(q**2*q))/(q**23)**(-20) assuming q is positive.\n' | b'q**505\n' | deepmind/math_dataset |
b'Four letters picked without replacement from giiaagiagiaggi. Give prob of sequence giag.\n' | b'50/3003\n' | b'Four letters picked without replacement from giiaagiagiaggi. Give prob of sequence giag.\n' | b'50/3003\n' | deepmind/math_dataset |
b'Suppose i + 5*h + 332 = 4*i, -5*h + 501 = 4*i. What is the second derivative of 4 + i*r**3 - 16*r**3 - 2*r - 11*r**3 wrt r?\n' | b'552*r\n' | b'Suppose i + 5*h + 332 = 4*i, -5*h + 501 = 4*i. What is the second derivative of 4 + i*r**3 - 16*r**3 - 2*r - 11*r**3 wrt r?\n' | b'552*r\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, l: 3}. Give prob of picking 1 f and 1 l.\n' | b'1/2\n' | b'Two letters picked without replacement from {f: 1, l: 3}. Give prob of picking 1 f and 1 l.\n' | b'1/2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 4, e: 1, a: 5}. What is prob of picking 3 a and 1 e?\n' | b'1/21\n' | b'Four letters picked without replacement from {l: 4, e: 1, a: 5}. What is prob of picking 3 a and 1 e?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from {n: 2, b: 1, p: 4}.\n' | b'2/7\n' | b'Calculate prob of sequence pp when two letters picked without replacement from {n: 2, b: 1, p: 4}.\n' | b'2/7\n' | deepmind/math_dataset |
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