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 be (-20)/((-18)/30*4/6). Suppose 14 = f - 3*c, 3*c - 16 = 5*f - u. Solve 0 = -5*g + a - 2*a - 4, -4*g + f*a = 9 for g.\n' | b'-1\n' | b'Let u be (-20)/((-18)/30*4/6). Suppose 14 = f - 3*c, 3*c - 16 = 5*f - u. Solve 0 = -5*g + a - 2*a - 4, -4*g + f*a = 9 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qlgglcqiccciigs. What is prob of sequence cgl?\n' | b'4/455\n' | b'Three letters picked without replacement from qlgglcqiccciigs. What is prob of sequence cgl?\n' | b'4/455\n' | deepmind/math_dataset |
b'What is prob of sequence ty when two letters picked without replacement from {z: 1, c: 2, t: 1, s: 5, k: 1, y: 7}?\n' | b'7/272\n' | b'What is prob of sequence ty when two letters picked without replacement from {z: 1, c: 2, t: 1, s: 5, k: 1, y: 7}?\n' | b'7/272\n' | deepmind/math_dataset |
b'Calculate prob of sequence sk when two letters picked without replacement from bbkskkkbk.\n' | b'5/72\n' | b'Calculate prob of sequence sk when two letters picked without replacement from bbkskkkbk.\n' | b'5/72\n' | deepmind/math_dataset |
b'Let v be (-1 + 1 + -1)*1. Let o(n) = 36*n - 423. Let p be o(16). Let m(q) = q**2 - 72*q + p*q - 80*q. Determine m(v).\n' | b'0\n' | b'Let v be (-1 + 1 + -1)*1. Let o(n) = 36*n - 423. Let p be o(16). Let m(q) = q**2 - 72*q + p*q - 80*q. Determine m(v).\n' | b'0\n' | deepmind/math_dataset |
b'Let a(b) = -b + 11. Suppose -55 = -5*p + l, 53 = 4*p + l - 0. Give a(p).\n' | b'-1\n' | b'Let a(b) = -b + 11. Suppose -55 = -5*p + l, 53 = 4*p + l - 0. Give a(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 2, s: 2, z: 1}. Give prob of picking 1 q, 1 z, and 2 s.\n' | b'2/5\n' | b'Four letters picked without replacement from {q: 2, s: 2, z: 1}. Give prob of picking 1 q, 1 z, and 2 s.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (w**(-1/4)/w)**(2/95)/(w**4*w*(w*w**2/w*w*w)/w) assuming w is positive.\n' | b'w**(-305/38)\n' | b'Simplify (w**(-1/4)/w)**(2/95)/(w**4*w*(w*w**2/w*w*w)/w) assuming w is positive.\n' | b'w**(-305/38)\n' | deepmind/math_dataset |
b'Find the second derivative of 1362*c - 3526*c - 3479*c + 1447*c + 2330*c**3 wrt c.\n' | b'13980*c\n' | b'Find the second derivative of 1362*c - 3526*c - 3479*c + 1447*c + 2330*c**3 wrt c.\n' | b'13980*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, p: 1, f: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 i, and 1 f?\n' | b'1/10\n' | b'Three letters picked without replacement from {l: 1, p: 1, f: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 i, and 1 f?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify f**5/(f*f**(-1/2)*f)*(f*f*f**2/f*f)/f*f*f**(2/11) assuming f is positive.\n' | b'f**(169/22)\n' | b'Simplify f**5/(f*f**(-1/2)*f)*(f*f*f**2/f*f)/f*f*f**(2/11) assuming f is positive.\n' | b'f**(169/22)\n' | deepmind/math_dataset |
b'Let g(n) = 7*n**3 + 2*n**2 - 12 + n**2 - 25*n - 6*n**3 + 16*n. Let c be g(-4). Solve 4*w + c = -2*y + 6*y, w + 4*y = 8 for w.\n' | b'0\n' | b'Let g(n) = 7*n**3 + 2*n**2 - 12 + n**2 - 25*n - 6*n**3 + 16*n. Let c be g(-4). Solve 4*w + c = -2*y + 6*y, w + 4*y = 8 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let h = -1 - -5. Suppose 4*n + 0*n - 89 = y, h*n - 77 = 5*y. Let w be (1/(-3))/((-1)/15). Solve -5*o + 3*b = n, b + 16 = -w*o - 3*b for o.\n' | b'-4\n' | b'Let h = -1 - -5. Suppose 4*n + 0*n - 89 = y, h*n - 77 = 5*y. Let w be (1/(-3))/((-1)/15). Solve -5*o + 3*b = n, b + 16 = -w*o - 3*b for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(z) = -z**2 - 8*z - 5. Let k be f(-6). Suppose 9*c = k*c + 8. Solve 5*x + 27 = -4*u, 4*x - c*u + 3 = -u for x.\n' | b'-3\n' | b'Let f(z) = -z**2 - 8*z - 5. Let k be f(-6). Suppose 9*c = k*c + 8. Solve 5*x + 27 = -4*u, 4*x - c*u + 3 = -u for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m = 6 - 5. Let h(n) = m + 3*n - 2*n - 2*n + 4. What is h(6)?\n' | b'-1\n' | b'Let m = 6 - 5. Let h(n) = m + 3*n - 2*n - 2*n + 4. What is h(6)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (v**5/(v*v**(1/2)*v))**(-1/13) assuming v is positive.\n' | b'v**(-5/26)\n' | b'Simplify (v**5/(v*v**(1/2)*v))**(-1/13) assuming v is positive.\n' | b'v**(-5/26)\n' | deepmind/math_dataset |
b'Suppose -3 = -3*y + 2*y. Suppose 0*i = y*i + 9, -5*u - 3*i = -11. What is the derivative of k**2 + 2 - u + 1 wrt k?\n' | b'2*k\n' | b'Suppose -3 = -3*y + 2*y. Suppose 0*i = y*i + 9, -5*u - 3*i = -11. What is the derivative of k**2 + 2 - u + 1 wrt k?\n' | b'2*k\n' | deepmind/math_dataset |
b'Suppose 0*o + 12 = 4*o. Let i = 1267 + -1256. Let b be 2*(o + i/(-2)). Let c(k) = -k**2 - 4*k + 6. Determine c(b).\n' | b'1\n' | b'Suppose 0*o + 12 = 4*o. Let i = 1267 + -1256. Let b be 2*(o + i/(-2)). Let c(k) = -k**2 - 4*k + 6. Determine c(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let k = 5006 + -4996. Solve -5*r = 2*y + 3*y - k, -12 = -3*r - 5*y for r.\n' | b'-1\n' | b'Let k = 5006 + -4996. Solve -5*r = 2*y + 3*y - k, -12 = -3*r - 5*y for r.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 3 c when four letters picked without replacement from ceeececcccceccee?\n' | b'21/65\n' | b'What is prob of picking 1 e and 3 c when four letters picked without replacement from ceeececcccceccee?\n' | b'21/65\n' | deepmind/math_dataset |
b'Suppose -5*q = -21 + 56. Let s(v) = v**3 + 8*v**2 + 6*v - 4. Let h be s(q). What is the second derivative of -3*d**4 + h*d - d + d + d**4 wrt d?\n' | b'-24*d**2\n' | b'Suppose -5*q = -21 + 56. Let s(v) = v**3 + 8*v**2 + 6*v - 4. Let h be s(q). What is the second derivative of -3*d**4 + h*d - d + d + d**4 wrt d?\n' | b'-24*d**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 a when two letters picked without replacement from {w: 3, k: 3, v: 3, c: 2, a: 5}?\n' | b'1/8\n' | b'What is prob of picking 1 k and 1 a when two letters picked without replacement from {w: 3, k: 3, v: 3, c: 2, a: 5}?\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 a, and 1 g when three letters picked without replacement from zazgigigag?\n' | b'2/15\n' | b'What is prob of picking 1 z, 1 a, and 1 g when three letters picked without replacement from zazgigigag?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let t = -7 - -11. Suppose 17 = t*x - 15. Suppose -4*y = -0 - 16. Solve -y*n = -x, -n - 2 = 2*z - 0 for z.\n' | b'-2\n' | b'Let t = -7 - -11. Suppose 17 = t*x - 15. Suppose -4*y = -0 - 16. Solve -y*n = -x, -n - 2 = 2*z - 0 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence iww when three letters picked without replacement from {w: 3, i: 1, o: 2, g: 1, t: 12}?\n' | b'1/969\n' | b'What is prob of sequence iww when three letters picked without replacement from {w: 3, i: 1, o: 2, g: 1, t: 12}?\n' | b'1/969\n' | deepmind/math_dataset |
b'What is the second derivative of -20*x - 32*x + 22*x**5 - 29*x**5 - 4*x wrt x?\n' | b'-140*x**3\n' | b'What is the second derivative of -20*x - 32*x + 22*x**5 - 29*x**5 - 4*x wrt x?\n' | b'-140*x**3\n' | deepmind/math_dataset |
b'Let f = 7 + -4. Let w be (0 - 0) + 4 + -1. Find the second derivative of -f*u**5 + 5*u + u - w*u wrt u.\n' | b'-60*u**3\n' | b'Let f = 7 + -4. Let w be (0 - 0) + 4 + -1. Find the second derivative of -f*u**5 + 5*u + u - w*u wrt u.\n' | b'-60*u**3\n' | deepmind/math_dataset |
b'What is prob of sequence yyy when three letters picked without replacement from qqqyyqqyyqqqyyqyqyyq?\n' | b'7/95\n' | b'What is prob of sequence yyy when three letters picked without replacement from qqqyyqqyyqqqyyqyqyyq?\n' | b'7/95\n' | deepmind/math_dataset |
b'Let r(i) = i**2 - 6*i + 3. Suppose 4*g - 17 - 23 = -4*n, -4*n = 3*g - 37. Give r(n).\n' | b'10\n' | b'Let r(i) = i**2 - 6*i + 3. Suppose 4*g - 17 - 23 = -4*n, -4*n = 3*g - 37. Give r(n).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence qeq when three letters picked without replacement from {z: 8, q: 2, b: 5, e: 2, i: 2}.\n' | b'2/2907\n' | b'Calculate prob of sequence qeq when three letters picked without replacement from {z: 8, q: 2, b: 5, e: 2, i: 2}.\n' | b'2/2907\n' | deepmind/math_dataset |
b'Let d(u) = 14 - 18 - 62 + 17*u. Let g(s) = -8*s + 33. Let o(w) = -3*d(w) - 7*g(w). Let t be o(8). Solve -4*f + 7 = v, 2*v + 13 = -2*f + t*v for f.\n' | b'1\n' | b'Let d(u) = 14 - 18 - 62 + 17*u. Let g(s) = -8*s + 33. Let o(w) = -3*d(w) - 7*g(w). Let t be o(8). Solve -4*f + 7 = v, 2*v + 13 = -2*f + t*v for f.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iiiyykiyfy. Give prob of picking 1 i, 1 k, and 1 f.\n' | b'1/30\n' | b'Three letters picked without replacement from iiiyykiyfy. Give prob of picking 1 i, 1 k, and 1 f.\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of sequence ne when two letters picked without replacement from {s: 7, c: 3, n: 2, j: 1, e: 6}?\n' | b'2/57\n' | b'What is prob of sequence ne when two letters picked without replacement from {s: 7, c: 3, n: 2, j: 1, e: 6}?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let y(h) be the third derivative of 19*h**2 + 0*h - 1/120*h**6 + 0*h**5 + 5/3*h**3 + 0*h**4 + 0. Differentiate y(o) wrt o.\n' | b'-3*o**2\n' | b'Let y(h) be the third derivative of 19*h**2 + 0*h - 1/120*h**6 + 0*h**5 + 5/3*h**3 + 0*h**4 + 0. Differentiate y(o) wrt o.\n' | b'-3*o**2\n' | deepmind/math_dataset |
b'Simplify (w**(4/7)/w**3)/((w*(w**4*w)/w)/(w**(2/5)/w)) assuming w is positive.\n' | b'w**(-281/35)\n' | b'Simplify (w**(4/7)/w**3)/((w*(w**4*w)/w)/(w**(2/5)/w)) assuming w is positive.\n' | b'w**(-281/35)\n' | deepmind/math_dataset |
b'Simplify ((j**(1/7))**10/(j**19/j**(-35)))**(-7) assuming j is positive.\n' | b'j**368\n' | b'Simplify ((j**(1/7))**10/(j**19/j**(-35)))**(-7) assuming j is positive.\n' | b'j**368\n' | deepmind/math_dataset |
b'Calculate prob of sequence gn when two letters picked without replacement from {g: 4, n: 3}.\n' | b'2/7\n' | b'Calculate prob of sequence gn when two letters picked without replacement from {g: 4, n: 3}.\n' | b'2/7\n' | deepmind/math_dataset |
b'What is the third derivative of -49*k**2 - 30*k**3 + 55*k**3 + 2*k**2 + 2*k**4 wrt k?\n' | b'48*k + 150\n' | b'What is the third derivative of -49*k**2 - 30*k**3 + 55*k**3 + 2*k**2 + 2*k**4 wrt k?\n' | b'48*k + 150\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 y when three letters picked without replacement from {w: 3, y: 2, s: 2, i: 8, b: 5}?\n' | b'1/570\n' | b'What is prob of picking 2 s and 1 y when three letters picked without replacement from {w: 3, y: 2, s: 2, i: 8, b: 5}?\n' | b'1/570\n' | deepmind/math_dataset |
b'Let z(x) = 2*x**3 + 20*x - 5. Let q(b) = 3*b**3 + 39*b - 9. Let o(c) = 5*q(c) - 9*z(c). What is the second derivative of o(u) wrt u?\n' | b'-18*u\n' | b'Let z(x) = 2*x**3 + 20*x - 5. Let q(b) = 3*b**3 + 39*b - 9. Let o(c) = 5*q(c) - 9*z(c). What is the second derivative of o(u) wrt u?\n' | b'-18*u\n' | deepmind/math_dataset |
b'Simplify c**(1/14)/((c**3/c)/c)*(c**(2/15)*c)/(c**(3/7)/c) assuming c is positive.\n' | b'c**(163/210)\n' | b'Simplify c**(1/14)/((c**3/c)/c)*(c**(2/15)*c)/(c**(3/7)/c) assuming c is positive.\n' | b'c**(163/210)\n' | deepmind/math_dataset |
b'What is prob of sequence wxxx when four letters picked without replacement from {w: 7, x: 5, e: 1}?\n' | b'7/286\n' | b'What is prob of sequence wxxx when four letters picked without replacement from {w: 7, x: 5, e: 1}?\n' | b'7/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n when two letters picked without replacement from eeeeeeneeeeeeeneen.\n' | b'1/51\n' | b'Calculate prob of picking 2 n when two letters picked without replacement from eeeeeeneeeeeeeneen.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let v = 74 - 51. Solve -3*y + 4 = 4*z - v, 2*y + 5 = 5*z for z.\n' | b'3\n' | b'Let v = 74 - 51. Solve -3*y + 4 = 4*z - v, 2*y + 5 = 5*z for z.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -123*y = -125*y + 28. Solve y = 3*s + 2*g, -7*g + 3*g + 14 = -s for s.\n' | b'2\n' | b'Suppose -123*y = -125*y + 28. Solve y = 3*s + 2*g, -7*g + 3*g + 14 = -s for s.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 2, d: 2, n: 1, s: 2, k: 1}. Give prob of picking 2 k, 1 x, and 1 d.\n' | b'0\n' | b'Four letters picked without replacement from {x: 2, d: 2, n: 1, s: 2, k: 1}. Give prob of picking 2 k, 1 x, and 1 d.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(k) = k**3 - 6*k**2 + k - 3. Let a be f(6). Suppose 9*c = 8*c + a. Solve 5*b + u + u = -c, -b = -5*u + 6 for b.\n' | b'-1\n' | b'Let f(k) = k**3 - 6*k**2 + k - 3. Let a be f(6). Suppose 9*c = 8*c + a. Solve 5*b + u + u = -c, -b = -5*u + 6 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a = 31 + -28. Solve a*t + 3*v = -t - 29, 3*v + 9 = 0 for t.\n' | b'-5\n' | b'Let a = 31 + -28. Solve a*t + 3*v = -t - 29, 3*v + 9 = 0 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((o/((o/(o/(o/((o/o**(-3/5))/o))))/o))/o*o**4/o*o)/(o*o*o**(-5/2)*o*o**(-2/3)))**(-16) assuming o is positive.\n' | b'o**(-1144/15)\n' | b'Simplify (((o/((o/(o/(o/((o/o**(-3/5))/o))))/o))/o*o**4/o*o)/(o*o*o**(-5/2)*o*o**(-2/3)))**(-16) assuming o is positive.\n' | b'o**(-1144/15)\n' | deepmind/math_dataset |
b'Suppose 0 = 3*t - d + 14 + 1, 5*t = -d - 17. Let s be 19 + -1 + t - 5. Solve -6*j + 3 = -3*j, 0 = x - 4*j + s for x.\n' | b'-5\n' | b'Suppose 0 = 3*t - d + 14 + 1, 5*t = -d - 17. Let s be 19 + -1 + t - 5. Solve -6*j + 3 = -3*j, 0 = x - 4*j + s for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let d(l) be the second derivative of 2*l**3/3 + l**2 - 4*l - 33. Calculate d(3).\n' | b'14\n' | b'Let d(l) be the second derivative of 2*l**3/3 + l**2 - 4*l - 33. Calculate d(3).\n' | b'14\n' | deepmind/math_dataset |
b'Let c be (0 + 10/(-4))*504/180. Let u(r) = r + 11. Calculate u(c).\n' | b'4\n' | b'Let c be (0 + 10/(-4))*504/180. Let u(r) = r + 11. Calculate u(c).\n' | b'4\n' | deepmind/math_dataset |
b'Let m be 11*(-5 - (-232)/44). Solve 5*o - m*p + 29 = 0, -o + 3*p + 11 = -6*o for o.\n' | b'-4\n' | b'Let m be 11*(-5 - (-232)/44). Solve 5*o - m*p + 29 = 0, -o + 3*p + 11 = -6*o for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify t**(-2/31)/t**7 assuming t is positive.\n' | b't**(-219/31)\n' | b'Simplify t**(-2/31)/t**7 assuming t is positive.\n' | b't**(-219/31)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, g: 2, l: 2, j: 2}. What is prob of sequence jg?\n' | b'2/45\n' | b'Two letters picked without replacement from {h: 4, g: 2, l: 2, j: 2}. What is prob of sequence jg?\n' | b'2/45\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnnnbnnbnlnm. What is prob of sequence bml?\n' | b'1/858\n' | b'Three letters picked without replacement from nnnnnbnnbnlnm. What is prob of sequence bml?\n' | b'1/858\n' | deepmind/math_dataset |
b'Let p = -9 + 10. Let n(q) = 0 - 2 + 20*q + 2 - 28*q. Give n(p).\n' | b'-8\n' | b'Let p = -9 + 10. Let n(q) = 0 - 2 + 20*q + 2 - 28*q. Give n(p).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 y when four letters picked without replacement from oyyyfyfffffyfyoy.\n' | b'1/52\n' | b'Calculate prob of picking 4 y when four letters picked without replacement from oyyyfyfffffyfyoy.\n' | b'1/52\n' | deepmind/math_dataset |
b'What is prob of sequence xxhc when four letters picked without replacement from {h: 5, x: 3, u: 1, d: 2, t: 6, c: 2}?\n' | b'5/7752\n' | b'What is prob of sequence xxhc when four letters picked without replacement from {h: 5, x: 3, u: 1, d: 2, t: 6, c: 2}?\n' | b'5/7752\n' | deepmind/math_dataset |
b'Simplify (((f/f**(-8/13))/f)/f*f*f**24)/((f/(f**(14/5)/f*f))/f*f*f*f**(-11/7)*f*f) assuming f is positive.\n' | b'f**(11369/455)\n' | b'Simplify (((f/f**(-8/13))/f)/f*f*f**24)/((f/(f**(14/5)/f*f))/f*f*f*f**(-11/7)*f*f) assuming f is positive.\n' | b'f**(11369/455)\n' | deepmind/math_dataset |
b'Let c(j) be the third derivative of 7*j**4/24 - 71*j**3/6 - j**2 - 283*j + 2. What is c(12)?\n' | b'13\n' | b'Let c(j) be the third derivative of 7*j**4/24 - 71*j**3/6 - j**2 - 283*j + 2. What is c(12)?\n' | b'13\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from lrlaaxlyxl?\n' | b'1/45\n' | b'What is prob of sequence xx when two letters picked without replacement from lrlaaxlyxl?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let u be -2 + (-2 - (4 - 1)). Let i = u + 14. Suppose 5*q - i = 13. Solve 3*c - 19 = q*f, 2*f - 5*c + 0 + 13 = 0 for f.\n' | b'-4\n' | b'Let u be -2 + (-2 - (4 - 1)). Let i = u + 14. Suppose 5*q - i = 13. Solve 3*c - 19 = q*f, 2*f - 5*c + 0 + 13 = 0 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q = -1 + 3. Suppose 3*p - q = 16. Let t = 4 + -4. Solve t = -2*k - 3*b + p*b - 20, -k + 3*b = 16 for k.\n' | b'-4\n' | b'Let q = -1 + 3. Suppose 3*p - q = 16. Let t = 4 + -4. Solve t = -2*k - 3*b + p*b - 20, -k + 3*b = 16 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence yyk when three letters picked without replacement from {g: 1, h: 1, k: 1, x: 1, b: 1, y: 6}.\n' | b'1/33\n' | b'Calculate prob of sequence yyk when three letters picked without replacement from {g: 1, h: 1, k: 1, x: 1, b: 1, y: 6}.\n' | b'1/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uupuuuuuupuuu. What is prob of sequence up?\n' | b'11/78\n' | b'Two letters picked without replacement from uupuuuuuupuuu. What is prob of sequence up?\n' | b'11/78\n' | deepmind/math_dataset |
b'Simplify (c**(2/7))**(2/97)*c*c**19/c*c**(-3/20)/c assuming c is positive.\n' | b'c**(242483/13580)\n' | b'Simplify (c**(2/7))**(2/97)*c*c**19/c*c**(-3/20)/c assuming c is positive.\n' | b'c**(242483/13580)\n' | deepmind/math_dataset |
b'Simplify (w/(w**(-1/2)/w)*w**5)**(1/25)/((w*w**(-2/7))**(1/33)/(w**(-4)*w*(w*w/w**(-4))/w)) assuming w is positive.\n' | b'w**(5263/2310)\n' | b'Simplify (w/(w**(-1/2)/w)*w**5)**(1/25)/((w*w**(-2/7))**(1/33)/(w**(-4)*w*(w*w/w**(-4))/w)) assuming w is positive.\n' | b'w**(5263/2310)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, u: 6, a: 3, q: 1}. Give prob of sequence amaa.\n' | b'3/2860\n' | b'Four letters picked without replacement from {m: 3, u: 6, a: 3, q: 1}. Give prob of sequence amaa.\n' | b'3/2860\n' | deepmind/math_dataset |
b'Simplify (((i**0/i)/i*i*i**(5/6)/i*i)/(i**1)**(14/9))/((i**2)**(-14)/(i**2*i**(-4))) assuming i is positive.\n' | b'i**(437/18)\n' | b'Simplify (((i**0/i)/i*i*i**(5/6)/i*i)/(i**1)**(14/9))/((i**2)**(-14)/(i**2*i**(-4))) assuming i is positive.\n' | b'i**(437/18)\n' | deepmind/math_dataset |
b'Let r(a) = a**3 - 8*a**2 + 9*a - 11. Suppose 39 = 5*l + b, -2*l + 2*b + 11 = 5. Let o be r(l). Solve w + 2*z - 11 = -3*z, -4*w = o*z - 10 for w.\n' | b'1\n' | b'Let r(a) = a**3 - 8*a**2 + 9*a - 11. Suppose 39 = 5*l + b, -2*l + 2*b + 11 = 5. Let o be r(l). Solve w + 2*z - 11 = -3*z, -4*w = o*z - 10 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((u**5*u)/u)/u)/u*u*u*u*(u*u*u**(1/8)*u*u)/u*(u**3/u)/(u/u**(-5/3)) assuming u is positive.\n' | b'u**(203/24)\n' | b'Simplify (((u**5*u)/u)/u)/u*u*u*u*(u*u*u**(1/8)*u*u)/u*(u**3/u)/(u/u**(-5/3)) assuming u is positive.\n' | b'u**(203/24)\n' | deepmind/math_dataset |
b'Suppose -2*r - 512 = 5*m - m, 383 = -3*m - r. Let o = 132 + m. Solve -w + 3 = -o*n - 9, 0 = 3*w - 6 for n.\n' | b'-2\n' | b'Suppose -2*r - 512 = 5*m - m, 383 = -3*m - r. Let o = 132 + m. Solve -w + 3 = -o*n - 9, 0 = 3*w - 6 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 7*s = 14 + 28. Solve 5*m - 3*m - 4*t = 0, 3*t = 3*m - s for m.\n' | b'4\n' | b'Suppose 7*s = 14 + 28. Solve 5*m - 3*m - 4*t = 0, 3*t = 3*m - s for m.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((i**(-8)*i*i)/(i*i*i**(-1/2)))**(-46)*(i**(1/4)*(i**(-9)/i)/i)**46 assuming i is positive.\n' | b'i**(-299/2)\n' | b'Simplify ((i**(-8)*i*i)/(i*i*i**(-1/2)))**(-46)*(i**(1/4)*(i**(-9)/i)/i)**46 assuming i is positive.\n' | b'i**(-299/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jvjf when four letters picked without replacement from {j: 3, g: 2, b: 3, v: 1, f: 1}.\n' | b'1/840\n' | b'Calculate prob of sequence jvjf when four letters picked without replacement from {j: 3, g: 2, b: 3, v: 1, f: 1}.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let w = 117 - 189. Let d = w - -73. Solve -5*u = 3*p - 7 - 1, -2*u + d = -p for p.\n' | b'1\n' | b'Let w = 117 - 189. Let d = w - -73. Solve -5*u = 3*p - 7 - 1, -2*u + d = -p for p.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 d when three letters picked without replacement from dqqdqqq?\n' | b'1/7\n' | b'What is prob of picking 1 q and 2 d when three letters picked without replacement from dqqdqqq?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let a(k) = 3*k + 43 - 44 - k**3 - 2*k. Let v(c) = 5*c**4 - 2*c**3 - c - 2. Let s(n) = -2*a(n) + v(n). What is the second derivative of s(j) wrt j?\n' | b'60*j**2\n' | b'Let a(k) = 3*k + 43 - 44 - k**3 - 2*k. Let v(c) = 5*c**4 - 2*c**3 - c - 2. Let s(n) = -2*a(n) + v(n). What is the second derivative of s(j) wrt j?\n' | b'60*j**2\n' | deepmind/math_dataset |
b'Suppose -8 = 4*s, 3*t + 2*s - 17 = -0*s. Let o be t/(((-4)/4)/(-3)). Solve -2*g = g + 3*b - o, -3*g + 5*b - 19 = 0 for g.\n' | b'2\n' | b'Suppose -8 = 4*s, 3*t + 2*s - 17 = -0*s. Let o be t/(((-4)/4)/(-3)). Solve -2*g = g + 3*b - o, -3*g + 5*b - 19 = 0 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let r = -9 + 9. Suppose 4*y - 28 + 8 = r. Solve -10 + 1 = y*i - k, 3*k = 12 for i.\n' | b'-1\n' | b'Let r = -9 + 9. Suppose 4*y - 28 + 8 = r. Solve -10 + 1 = y*i - k, 3*k = 12 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let h = 2 - -2. Suppose -2*a - 12 = -h*q - q, a + 16 = 5*q. Suppose -c = q*c - 15. Solve 5*m = -4*j + 11, -c*j + 7 = -m + 6*m for m.\n' | b'-1\n' | b'Let h = 2 - -2. Suppose -2*a - 12 = -h*q - q, a + 16 = 5*q. Suppose -c = q*c - 15. Solve 5*m = -4*j + 11, -c*j + 7 = -m + 6*m for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjjjdujujujuu. What is prob of picking 1 j and 3 u?\n' | b'14/143\n' | b'Four letters picked without replacement from jjjjdujujujuu. What is prob of picking 1 j and 3 u?\n' | b'14/143\n' | deepmind/math_dataset |
b'Let w = -1 - -3. Solve -7 = -0*n - w*n - j, 0 = 4*n - 3*j - 19 for n.\n' | b'4\n' | b'Let w = -1 - -3. Solve -7 = -0*n - w*n - j, 0 = 4*n - 3*j - 19 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let r(u) be the second derivative of 4*u + 1/21*u**7 + 0 + 0*u**2 + 0*u**5 + 1/3*u**4 + 0*u**6 + 0*u**3. What is the third derivative of r(g) wrt g?\n' | b'120*g**2\n' | b'Let r(u) be the second derivative of 4*u + 1/21*u**7 + 0 + 0*u**2 + 0*u**5 + 1/3*u**4 + 0*u**6 + 0*u**3. What is the third derivative of r(g) wrt g?\n' | b'120*g**2\n' | deepmind/math_dataset |
b'Find the third derivative of 192*g**5 + 17*g**2 - 109*g**5 - 165*g**5 - 2*g wrt g.\n' | b'-4920*g**2\n' | b'Find the third derivative of 192*g**5 + 17*g**2 - 109*g**5 - 165*g**5 - 2*g wrt g.\n' | b'-4920*g**2\n' | deepmind/math_dataset |
b'Let i be (2/4)/(3/(-144)*-4). Find the first derivative of -19*t**3 + 11*t**3 + 21*t**3 - i wrt t.\n' | b'39*t**2\n' | b'Let i be (2/4)/(3/(-144)*-4). Find the first derivative of -19*t**3 + 11*t**3 + 21*t**3 - i wrt t.\n' | b'39*t**2\n' | deepmind/math_dataset |
b'Suppose -12 = -4*i - 0*i. Let r = i - 12. Let f(j) = 4 - 68689*j**2 + 0*j**3 + 68681*j**2 - j**3 + 9*j. Calculate f(r).\n' | b'4\n' | b'Suppose -12 = -4*i - 0*i. Let r = i - 12. Let f(j) = 4 - 68689*j**2 + 0*j**3 + 68681*j**2 - j**3 + 9*j. Calculate f(r).\n' | b'4\n' | deepmind/math_dataset |
b'Let n be (-14)/(-6) - 65/39 - (-50)/15. Let x(o) = o - 5. Let k be x(6). Let d be ((1 - 1)*1)/k. Solve 0*m - 3*m + 4*i + 8 = d, -20 = n*i for m.\n' | b'-4\n' | b'Let n be (-14)/(-6) - 65/39 - (-50)/15. Let x(o) = o - 5. Let k be x(6). Let d be ((1 - 1)*1)/k. Solve 0*m - 3*m + 4*i + 8 = d, -20 = n*i for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g(i) be the second derivative of -i**3/6 - i**2 - 3*i. Let d be g(-8). Find the third derivative of k**2 - 3*k**2 + 0*k**6 + k**d wrt k.\n' | b'120*k**3\n' | b'Let g(i) be the second derivative of -i**3/6 - i**2 - 3*i. Let d be g(-8). Find the third derivative of k**2 - 3*k**2 + 0*k**6 + k**d wrt k.\n' | b'120*k**3\n' | deepmind/math_dataset |
b'Let q(m) = 7*m - 1. Let d(o) = -o**2 - 27*o - 54. Let x(w) = d(w) + 6*q(w). Give x(10).\n' | b'-10\n' | b'Let q(m) = 7*m - 1. Let d(o) = -o**2 - 27*o - 54. Let x(w) = d(w) + 6*q(w). Give x(10).\n' | b'-10\n' | deepmind/math_dataset |
b'Let p(j) be the first derivative of 421*j**4/4 + j**3 + 303*j**2 + j - 2315. What is the second derivative of p(d) wrt d?\n' | b'2526*d + 6\n' | b'Let p(j) be the first derivative of 421*j**4/4 + j**3 + 303*j**2 + j - 2315. What is the second derivative of p(d) wrt d?\n' | b'2526*d + 6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sbbbssbsbbssbdswsb. What is prob of picking 3 s and 1 w?\n' | b'14/765\n' | b'Four letters picked without replacement from sbbbssbsbbssbdswsb. What is prob of picking 3 s and 1 w?\n' | b'14/765\n' | deepmind/math_dataset |
b'What is prob of sequence vx when two letters picked without replacement from xvexeqvn?\n' | b'1/14\n' | b'What is prob of sequence vx when two letters picked without replacement from xvexeqvn?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let z = 4 - 0. Suppose 0 = -4*m - 580 - 464. Let t = 274 + m. Solve 0 = h + z*d + 9, 2*h - 4*h - t = 3*d for h.\n' | b'-5\n' | b'Let z = 4 - 0. Suppose 0 = -4*m - 580 - 464. Let t = 274 + m. Solve 0 = h + z*d + 9, 2*h - 4*h - t = 3*d for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -333*z = m - 334*z - 4, m - 4 = -z. Solve 3*h = -w + 5, -4*w + 9*h - m*h = -20 for w.\n' | b'5\n' | b'Suppose -333*z = m - 334*z - 4, m - 4 = -z. Solve 3*h = -w + 5, -4*w + 9*h - m*h = -20 for w.\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of -250 + 76*j**2 - 247 - 5*j + 501 - 5*j wrt j?\n' | b'152\n' | b'What is the second derivative of -250 + 76*j**2 - 247 - 5*j + 501 - 5*j wrt j?\n' | b'152\n' | deepmind/math_dataset |
b'Simplify ((w*w**(5/4))/w)**7 assuming w is positive.\n' | b'w**(35/4)\n' | b'Simplify ((w*w**(5/4))/w)**7 assuming w is positive.\n' | b'w**(35/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, q: 2, t: 2, x: 3, s: 1, n: 8}. What is prob of picking 1 m, 1 n, and 1 t?\n' | b'2/85\n' | b'Three letters picked without replacement from {m: 1, q: 2, t: 2, x: 3, s: 1, n: 8}. What is prob of picking 1 m, 1 n, and 1 t?\n' | b'2/85\n' | deepmind/math_dataset |
b'Let q(b) = b**3 - 3*b**2 - 6*b + 11. Let z = 914 + -909. Determine q(z).\n' | b'31\n' | b'Let q(b) = b**3 - 3*b**2 - 6*b + 11. Let z = 914 + -909. Determine q(z).\n' | b'31\n' | deepmind/math_dataset |
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