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'Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {x: 1, y: 1, j: 1, q: 1, v: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {x: 1, y: 1, j: 1, q: 1, v: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ckkkkckcck. Give prob of picking 2 c and 2 k.\n' | b'3/7\n' | b'Four letters picked without replacement from ckkkkckcck. Give prob of picking 2 c and 2 k.\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify (h**(-3)*h*(h*h**(3/7))/h)**(-9) assuming h is positive.\n' | b'h**(99/7)\n' | b'Simplify (h**(-3)*h*(h*h**(3/7))/h)**(-9) assuming h is positive.\n' | b'h**(99/7)\n' | deepmind/math_dataset |
b'Suppose -2 = -g - 0. Find the third derivative of -m**6 - 4*m**6 - 7*m**g + 10*m**6 wrt m.\n' | b'600*m**3\n' | b'Suppose -2 = -g - 0. Find the third derivative of -m**6 - 4*m**6 - 7*m**g + 10*m**6 wrt m.\n' | b'600*m**3\n' | deepmind/math_dataset |
b'Let h(r) = 2536*r**3 + 35*r**2 + r - 272. Let y(n) = -1269*n**3 - 14*n**2 - n + 136. Let x(k) = -2*h(k) - 5*y(k). What is the second derivative of x(a) wrt a?\n' | b'7638*a\n' | b'Let h(r) = 2536*r**3 + 35*r**2 + r - 272. Let y(n) = -1269*n**3 - 14*n**2 - n + 136. Let x(k) = -2*h(k) - 5*y(k). What is the second derivative of x(a) wrt a?\n' | b'7638*a\n' | deepmind/math_dataset |
b'Simplify (((d*d*(d*d**(-2/5))/d)**26)**20)**(-13) assuming d is positive.\n' | b'd**(-10816)\n' | b'Simplify (((d*d*(d*d**(-2/5))/d)**26)**20)**(-13) assuming d is positive.\n' | b'd**(-10816)\n' | deepmind/math_dataset |
b'Let u(a) = 7*a**3 + 0*a**3 + 4*a**2 - 1 - 15*a**3 - 6 - a + 7*a**3. Calculate u(4).\n' | b'-11\n' | b'Let u(a) = 7*a**3 + 0*a**3 + 4*a**2 - 1 - 15*a**3 - 6 - a + 7*a**3. Calculate u(4).\n' | b'-11\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddbb when four letters picked without replacement from {b: 7, d: 7}.\n' | b'21/286\n' | b'Calculate prob of sequence ddbb when four letters picked without replacement from {b: 7, d: 7}.\n' | b'21/286\n' | deepmind/math_dataset |
b'Let h(q) = q**2 + 4*q + 58. Let u be h(0). Let l = u + -66. Let i be 2/(-3)*12/l - -1. Solve -i*o - 7 = b, 3*b - 11 = 4*b + 3*o for b.\n' | b'1\n' | b'Let h(q) = q**2 + 4*q + 58. Let u be h(0). Let l = u + -66. Let i be 2/(-3)*12/l - -1. Solve -i*o - 7 = b, 3*b - 11 = 4*b + 3*o for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let r = -49 + 42. Let v(o) = -9*o**3 + 19*o**2 - 2*o - 13. Let x(y) = -5*y**3 + 10*y**2 - y - 7. Let u(n) = r*x(n) + 4*v(n). Determine u(3).\n' | b'21\n' | b'Let r = -49 + 42. Let v(o) = -9*o**3 + 19*o**2 - 2*o - 13. Let x(y) = -5*y**3 + 10*y**2 - y - 7. Let u(n) = r*x(n) + 4*v(n). Determine u(3).\n' | b'21\n' | deepmind/math_dataset |
b'Suppose 8 = 51*t - 49*t + 2*v, 4*v = t - 4. Solve -4*h + t = 0, w + 1 = 3*w + 3*h for w.\n' | b'-1\n' | b'Suppose 8 = 51*t - 49*t + 2*v, 4*v = t - 4. Solve -4*h + t = 0, w + 1 = 3*w + 3*h for w.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 u when two letters picked without replacement from gcaagaguccaaaa?\n' | b'1/13\n' | b'What is prob of picking 1 a and 1 u when two letters picked without replacement from gcaagaguccaaaa?\n' | b'1/13\n' | deepmind/math_dataset |
b'Suppose -4*r + 3 = -r, 0 = -2*k + 5*r - 1. Suppose -17 = -w - 0*n + 4*n, 0 = -4*w - n. Let p(t) = -w - t**2 + 2*t**2 + 1 + 2*t - 2. Determine p(k).\n' | b'6\n' | b'Suppose -4*r + 3 = -r, 0 = -2*k + 5*r - 1. Suppose -17 = -w - 0*n + 4*n, 0 = -4*w - n. Let p(t) = -w - t**2 + 2*t**2 + 1 + 2*t - 2. Determine p(k).\n' | b'6\n' | deepmind/math_dataset |
b'Let x(l) = -5*l + 31. Let i be x(6). Suppose -d = 2*g - g - i, 0 = -3*g + d + 7. Solve g*w + 6 = -4*y, 5*y + 33 = 4*w + 6 for y.\n' | b'-3\n' | b'Let x(l) = -5*l + 31. Let i be x(6). Suppose -d = 2*g - g - i, 0 = -3*g + d + 7. Solve g*w + 6 = -4*y, 5*y + 33 = 4*w + 6 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k = -15 - -9. Let l be 21/k*2*-1. Let v be (l/2)/((-2)/(-4)). Solve t + 2*n = -v, 3*n - 4 = 4*t - n for t.\n' | b'-3\n' | b'Let k = -15 - -9. Let l be 21/k*2*-1. Let v be (l/2)/((-2)/(-4)). Solve t + 2*n = -v, 3*n - 4 = 4*t - n for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 p when four letters picked without replacement from pqppqpqpqppppp.\n' | b'30/143\n' | b'Calculate prob of picking 4 p when four letters picked without replacement from pqppqpqpqppppp.\n' | b'30/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from apjpypapt. What is prob of sequence aap?\n' | b'1/63\n' | b'Three letters picked without replacement from apjpypapt. What is prob of sequence aap?\n' | b'1/63\n' | deepmind/math_dataset |
b'Simplify (k/k**(7/2))/(k**19*k) assuming k is positive.\n' | b'k**(-45/2)\n' | b'Simplify (k/k**(7/2))/(k**19*k) assuming k is positive.\n' | b'k**(-45/2)\n' | deepmind/math_dataset |
b'Let s be (2/3)/(2/15). Let o(w) = -214 - 94*w - 93*w + 194*w. Let q be o(31). Solve 0 = -s*j - 2*x, -4*j - q*x = x - 12 for j.\n' | b'-2\n' | b'Let s be (2/3)/(2/15). Let o(w) = -214 - 94*w - 93*w + 194*w. Let q be o(31). Solve 0 = -s*j - 2*x, -4*j - q*x = x - 12 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v = 8011 - 8005. Solve -h + 15 = -j - v*h, 4*h + 12 = 5*j for j.\n' | b'0\n' | b'Let v = 8011 - 8005. Solve -h + 15 = -j - v*h, 4*h + 12 = 5*j for j.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (u**(1/3))**(3/34)/(u/(u*u*u**(-3/5))*u**(-1/6))*(u**5*u*u*(u/(u*u/(u*u**(2/13)*u)*u)*u)/u*u)/(u**(-5)*u*u**(3/5)) assuming u is positive.\n' | b'u**(40277/3315)\n' | b'Simplify (u**(1/3))**(3/34)/(u/(u*u*u**(-3/5))*u**(-1/6))*(u**5*u*u*(u/(u*u/(u*u**(2/13)*u)*u)*u)/u*u)/(u**(-5)*u*u**(3/5)) assuming u is positive.\n' | b'u**(40277/3315)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ussssusuuusss. What is prob of sequence usu?\n' | b'40/429\n' | b'Three letters picked without replacement from ussssusuuusss. What is prob of sequence usu?\n' | b'40/429\n' | deepmind/math_dataset |
b'Calculate prob of sequence ass when three letters picked without replacement from ybasevs.\n' | b'1/105\n' | b'Calculate prob of sequence ass when three letters picked without replacement from ybasevs.\n' | b'1/105\n' | deepmind/math_dataset |
b'Suppose -5*h - 5 = -5*d, -2*h = -h - 1. What is the second derivative of -2*q + 71*q**3 - 5 - d - 128*q**3 wrt q?\n' | b'-342*q\n' | b'Suppose -5*h - 5 = -5*d, -2*h = -h - 1. What is the second derivative of -2*q + 71*q**3 - 5 - d - 128*q**3 wrt q?\n' | b'-342*q\n' | deepmind/math_dataset |
b'Simplify (l*l**7*l*l*l*l*l/(l/l**(-4))*l)**(-5/7) assuming l is positive.\n' | b'l**(-45/7)\n' | b'Simplify (l*l**7*l*l*l*l*l/(l/l**(-4))*l)**(-5/7) assuming l is positive.\n' | b'l**(-45/7)\n' | deepmind/math_dataset |
b'Let u(c) be the first derivative of c**3/3 + 3*c**2 - c - 51. What is u(-5)?\n' | b'-6\n' | b'Let u(c) be the first derivative of c**3/3 + 3*c**2 - c - 51. What is u(-5)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence eee when three letters picked without replacement from ueueeueuue?\n' | b'1/12\n' | b'What is prob of sequence eee when three letters picked without replacement from ueueeueuue?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (v**(-24)/v**(9/2)*(v/((v*v**18*v)/v))**8)**46 assuming v is positive.\n' | b'v**(-7935)\n' | b'Simplify (v**(-24)/v**(9/2)*(v/((v*v**18*v)/v))**8)**46 assuming v is positive.\n' | b'v**(-7935)\n' | deepmind/math_dataset |
b'Simplify ((p*(p*p**(1/3))/p)/(p*p/(((p*p/(p**(2/5)*p))/p)/p)))/(p**(1/3))**(-8/11) assuming p is positive.\n' | b'p**(-301/165)\n' | b'Simplify ((p*(p*p**(1/3))/p)/(p*p/(((p*p/(p**(2/5)*p))/p)/p)))/(p**(1/3))**(-8/11) assuming p is positive.\n' | b'p**(-301/165)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, j: 2, x: 1}. Give prob of picking 2 o and 1 x.\n' | b'1/10\n' | b'Three letters picked without replacement from {o: 2, j: 2, x: 1}. Give prob of picking 2 o and 1 x.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmm. What is prob of sequence mmm?\n' | b'1\n' | b'Three letters picked without replacement from mmmm. What is prob of sequence mmm?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(g) = g**3 + 3*g**2 - 6*g - 4. Let w be (-3 - -1)/((-2)/(-4)). Calculate c(w).\n' | b'4\n' | b'Let c(g) = g**3 + 3*g**2 - 6*g - 4. Let w be (-3 - -1)/((-2)/(-4)). Calculate c(w).\n' | b'4\n' | deepmind/math_dataset |
b'Let x = 10 + -5. Suppose -x*a + 17 + 3 = 0. Suppose -2*v - 3*z = -v + 6, -3 = 2*v + 3*z. Solve i = w - 2, 2*i - v = -w + a*i for w.\n' | b'1\n' | b'Let x = 10 + -5. Suppose -x*a + 17 + 3 = 0. Suppose -2*v - 3*z = -v + 6, -3 = 2*v + 3*z. Solve i = w - 2, 2*i - v = -w + a*i for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let a be (15/9)/((-90)/(-972)). Suppose -5*l - 38 = -2*s, 0*s = -4*l + 3*s - 36. Let t = l + 9. Solve 12 = -3*f, -t*y + 1 - a = 5*f for y.\n' | b'1\n' | b'Let a be (15/9)/((-90)/(-972)). Suppose -5*l - 38 = -2*s, 0*s = -4*l + 3*s - 36. Let t = l + 9. Solve 12 = -3*f, -t*y + 1 - a = 5*f for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from {j: 1, u: 1, l: 2, a: 1, r: 1, t: 1}?\n' | b'1/35\n' | b'What is prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from {j: 1, u: 1, l: 2, a: 1, r: 1, t: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 4*y + 12 = 2*w, -5*y + 7*w - 15 = 3*w. Let c(t) = 2*t - 6. Let z be c(5). Let u(p) = z*p + 3*p + 1 - 5*p. What is u(y)?\n' | b'-5\n' | b'Suppose 4*y + 12 = 2*w, -5*y + 7*w - 15 = 3*w. Let c(t) = 2*t - 6. Let z be c(5). Let u(p) = z*p + 3*p + 1 - 5*p. What is u(y)?\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, y: 1, t: 1, o: 2, h: 1, k: 2}. What is prob of sequence fot?\n' | b'1/168\n' | b'Three letters picked without replacement from {f: 1, y: 1, t: 1, o: 2, h: 1, k: 2}. What is prob of sequence fot?\n' | b'1/168\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tww. What is prob of picking 2 w?\n' | b'1/3\n' | b'Two letters picked without replacement from tww. What is prob of picking 2 w?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let c be (-1 + 7/1)/2. Solve 5*t + 0*h + h = -26, -t = c*h + 8 for t.\n' | b'-5\n' | b'Let c be (-1 + 7/1)/2. Solve 5*t + 0*h + h = -26, -t = c*h + 8 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be ((-30)/(-8) - 4)/((-1)/8). Suppose 0 = 3*b - 3 - 9, 5*l - 5*b = -15. Solve 2*n = -5*u + l, 3*n - o*u = -2*n - 12 for n.\n' | b'-2\n' | b'Let o be ((-30)/(-8) - 4)/((-1)/8). Suppose 0 = 3*b - 3 - 9, 5*l - 5*b = -15. Solve 2*n = -5*u + l, 3*n - o*u = -2*n - 12 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 v, 1 m, and 1 h when three letters picked without replacement from {e: 1, v: 5, c: 1, u: 3, h: 1, m: 2}?\n' | b'5/143\n' | b'What is prob of picking 1 v, 1 m, and 1 h when three letters picked without replacement from {e: 1, v: 5, c: 1, u: 3, h: 1, m: 2}?\n' | b'5/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qrrhrrwqr. What is prob of picking 1 r, 1 h, and 2 q?\n' | b'5/126\n' | b'Four letters picked without replacement from qrrhrrwqr. What is prob of picking 1 r, 1 h, and 2 q?\n' | b'5/126\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, y: 3}. Give prob of sequence yy.\n' | b'1/7\n' | b'Two letters picked without replacement from {x: 4, y: 3}. Give prob of sequence yy.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let d(l) be the first derivative of -l**2/2 + 7*l + 13. What is d(11)?\n' | b'-4\n' | b'Let d(l) be the first derivative of -l**2/2 + 7*l + 13. What is d(11)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let w be ((-60)/(-36))/(10/12). Let v be (8 - 3) + -2 + 1. Suppose 2*t + 3*f - 4 = -f, -2*t = 3*f - v. Solve 0 = w*u - 4, -g - t*u = -3 - 2 for g.\n' | b'1\n' | b'Let w be ((-60)/(-36))/(10/12). Let v be (8 - 3) + -2 + 1. Suppose 2*t + 3*f - 4 = -f, -2*t = 3*f - v. Solve 0 = w*u - 4, -g - t*u = -3 - 2 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -h + 2*h - 3 = 0. Suppose -12 = -p - 3*p. Let n be p*(-4)/(4 - 16). Solve 2*v + 4 = 3*a, -4*v = -h*a + v + n for a.\n' | b'2\n' | b'Suppose -h + 2*h - 3 = 0. Suppose -12 = -p - 3*p. Let n be p*(-4)/(4 - 16). Solve 2*v + 4 = 3*a, -4*v = -h*a + v + n for a.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (n**(-1/6)*n)/(n/((n*n**19/n*n)/n*n*n))*(n**(-14)/n)**(-3/5) assuming n is positive.\n' | b'n**(179/6)\n' | b'Simplify (n**(-1/6)*n)/(n/((n*n**19/n*n)/n*n*n))*(n**(-14)/n)**(-3/5) assuming n is positive.\n' | b'n**(179/6)\n' | deepmind/math_dataset |
b'Suppose -80 = 3*w - 7*w. Suppose 4*n - w = -3*h + 45, h - 73 = -5*n. What is the second derivative of -n*o + o**3 + o + 6*o wrt o?\n' | b'6*o\n' | b'Suppose -80 = 3*w - 7*w. Suppose 4*n - w = -3*h + 45, h - 73 = -5*n. What is the second derivative of -n*o + o**3 + o + 6*o wrt o?\n' | b'6*o\n' | deepmind/math_dataset |
b'Simplify k**(-3)/k**7*k**(-4)*k**7*(k*k/(k/k**(2/7)))**44*(k**(-2/7))**(4/7) assuming k is positive.\n' | b'k**(2421/49)\n' | b'Simplify k**(-3)/k**7*k**(-4)*k**7*(k*k/(k/k**(2/7)))**44*(k**(-2/7))**(4/7) assuming k is positive.\n' | b'k**(2421/49)\n' | deepmind/math_dataset |
b'Calculate prob of sequence zzp when three letters picked without replacement from {t: 4, q: 1, p: 4, z: 3, w: 1}.\n' | b'2/143\n' | b'Calculate prob of sequence zzp when three letters picked without replacement from {t: 4, q: 1, p: 4, z: 3, w: 1}.\n' | b'2/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 t when three letters picked without replacement from ptppttp.\n' | b'18/35\n' | b'Calculate prob of picking 2 p and 1 t when three letters picked without replacement from ptppttp.\n' | b'18/35\n' | deepmind/math_dataset |
b'Let r(g) be the third derivative of -22*g**9/63 + 41*g**5/60 + g**4/24 - 16*g**2 - 5. Find the third derivative of r(f) wrt f.\n' | b'-21120*f**3\n' | b'Let r(g) be the third derivative of -22*g**9/63 + 41*g**5/60 + g**4/24 - 16*g**2 - 5. Find the third derivative of r(f) wrt f.\n' | b'-21120*f**3\n' | deepmind/math_dataset |
b'Suppose -r = -0*r - 3. Suppose d - t + 2*t - 8 = 0, 29 = r*d + 2*t. Let q(n) = -n**2 - 4*n + 1. Let l be q(-3). Solve -5*y + l*v = d, 5*y - 2*v + 25 = 6 for y.\n' | b'-5\n' | b'Suppose -r = -0*r - 3. Suppose d - t + 2*t - 8 = 0, 29 = r*d + 2*t. Let q(n) = -n**2 - 4*n + 1. Let l be q(-3). Solve -5*y + l*v = d, 5*y - 2*v + 25 = 6 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence cld when three letters picked without replacement from {q: 1, v: 1, l: 1, o: 1, d: 1, c: 2}.\n' | b'1/105\n' | b'Calculate prob of sequence cld when three letters picked without replacement from {q: 1, v: 1, l: 1, o: 1, d: 1, c: 2}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let b = -19 + 23. Suppose b*s + 60 + 120 = 0. Let v be s/(-12) + 2/8. Solve -v*z + 20 = 0, -6*z = 5*q - z - 5 for q.\n' | b'-4\n' | b'Let b = -19 + 23. Suppose b*s + 60 + 120 = 0. Let v be s/(-12) + 2/8. Solve -v*z + 20 = 0, -6*z = 5*q - z - 5 for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Let k = 4 + -2. Suppose 0 = v + k*p - 10, 4*p - 2*p = 3*v + 10. Suppose -28 = 3*w - 5*b, 5*b - 21 = -v*w - 4*w. Let l(h) = -6*h + 1. What is l(w)?\n' | b'7\n' | b'Let k = 4 + -2. Suppose 0 = v + k*p - 10, 4*p - 2*p = 3*v + 10. Suppose -28 = 3*w - 5*b, 5*b - 21 = -v*w - 4*w. Let l(h) = -6*h + 1. What is l(w)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((b**2)**43)**(-2/9)*(b*b**(3/10)/b*b*b*b*b*b*b**(2/9))**(-33) assuming b is positive.\n' | b'b**(-18121/90)\n' | b'Simplify ((b**2)**43)**(-2/9)*(b*b**(3/10)/b*b*b*b*b*b*b**(2/9))**(-33) assuming b is positive.\n' | b'b**(-18121/90)\n' | deepmind/math_dataset |
b'Suppose -4*n = 5*y - 2*n - 30, 2*y - 5*n = -17. Let i be (171/38)/((-3)/(-8)). Suppose -i = -4*z + y. Solve l = -z*s + 5*l + 28, 4*s = -2*l - 2 for s.\n' | b'2\n' | b'Suppose -4*n = 5*y - 2*n - 30, 2*y - 5*n = -17. Let i be (171/38)/((-3)/(-8)). Suppose -i = -4*z + y. Solve l = -z*s + 5*l + 28, 4*s = -2*l - 2 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zqqiq. What is prob of picking 3 q?\n' | b'1/10\n' | b'Three letters picked without replacement from zqqiq. What is prob of picking 3 q?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence rvr when three letters picked without replacement from {i: 1, v: 2, z: 6, b: 3, r: 3}?\n' | b'2/455\n' | b'What is prob of sequence rvr when three letters picked without replacement from {i: 1, v: 2, z: 6, b: 3, r: 3}?\n' | b'2/455\n' | deepmind/math_dataset |
b'Suppose 4*k - x = 6, 0*k + 3*x - 10 = -2*k. Solve -4*a - 5*z - 1 = 0, z + 7 = -4*a - k*z for a.\n' | b'-4\n' | b'Suppose 4*k - x = 6, 0*k + 3*x - 10 = -2*k. Solve -4*a - 5*z - 1 = 0, z + 7 = -4*a - k*z for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((n**(-1/10)/n**8)**(-38))**(10/9))**25 assuming n is positive.\n' | b'n**8550\n' | b'Simplify (((n**(-1/10)/n**8)**(-38))**(10/9))**25 assuming n is positive.\n' | b'n**8550\n' | deepmind/math_dataset |
b'Let g(h) = h**3 + 2*h**2 - 3*h + 2. Suppose 4*l + 7 = -5. Let n be g(l). What is the second derivative of 0*y + 0*y - 3*y - n*y**5 wrt y?\n' | b'-40*y**3\n' | b'Let g(h) = h**3 + 2*h**2 - 3*h + 2. Suppose 4*l + 7 = -5. Let n be g(l). What is the second derivative of 0*y + 0*y - 3*y - n*y**5 wrt y?\n' | b'-40*y**3\n' | deepmind/math_dataset |
b'Suppose 0 = -21*d - 0*d + 21. Let u(h) = 59*h + 61. Let z(v) = v - 2. Let s(f) = d*u(f) - 6*z(f). Find the first derivative of s(i) wrt i.\n' | b'53\n' | b'Suppose 0 = -21*d - 0*d + 21. Let u(h) = 59*h + 61. Let z(v) = v - 2. Let s(f) = d*u(f) - 6*z(f). Find the first derivative of s(i) wrt i.\n' | b'53\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 1, n: 1, b: 2, c: 9}. Give prob of sequence zb.\n' | b'1/78\n' | b'Two letters picked without replacement from {z: 1, n: 1, b: 2, c: 9}. Give prob of sequence zb.\n' | b'1/78\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 6, m: 3, s: 3, v: 1}. What is prob of picking 1 s and 2 m?\n' | b'9/286\n' | b'Three letters picked without replacement from {t: 6, m: 3, s: 3, v: 1}. What is prob of picking 1 s and 2 m?\n' | b'9/286\n' | deepmind/math_dataset |
b'Let v(i) be the third derivative of -i**5/60 - i**4/2 - 4*i**3/3 + 2*i**2 - 494. Give v(-9).\n' | b'19\n' | b'Let v(i) be the third derivative of -i**5/60 - i**4/2 - 4*i**3/3 + 2*i**2 - 494. Give v(-9).\n' | b'19\n' | deepmind/math_dataset |
b'Suppose c = 8 - 7. Let i be (12/(-36))/(c/(-75)). What is the third derivative of -13*j**2 + 46*j**2 - i*j**3 + 10*j**3 wrt j?\n' | b'-90\n' | b'Suppose c = 8 - 7. Let i be (12/(-36))/(c/(-75)). What is the third derivative of -13*j**2 + 46*j**2 - i*j**3 + 10*j**3 wrt j?\n' | b'-90\n' | deepmind/math_dataset |
b'Let x(f) = f**3 + 9*f**2 + 6*f + 1. Suppose 0 = 8*h - 366 + 430. What is x(h)?\n' | b'17\n' | b'Let x(f) = f**3 + 9*f**2 + 6*f + 1. Suppose 0 = 8*h - 366 + 430. What is x(h)?\n' | b'17\n' | deepmind/math_dataset |
b'Simplify (h/((h/(h*h**(-5)*h))/h)*h)/(h*(h*((h*(h*h**(1/4))/h*h*h)/h)/h*h)/h)*(h*h/h**3)/(h/((h/(h**(2/5)*h))/h)) assuming h is positive.\n' | b'h**(-153/20)\n' | b'Simplify (h/((h/(h*h**(-5)*h))/h)*h)/(h*(h*((h*(h*h**(1/4))/h*h*h)/h)/h*h)/h)*(h*h/h**3)/(h/((h/(h**(2/5)*h))/h)) assuming h is positive.\n' | b'h**(-153/20)\n' | deepmind/math_dataset |
b'Let k = 377 - 285. What is the second derivative of 2*t**2 - 71*t**3 + 46*t**3 - k*t + 37*t**3 wrt t?\n' | b'72*t + 4\n' | b'Let k = 377 - 285. What is the second derivative of 2*t**2 - 71*t**3 + 46*t**3 - k*t + 37*t**3 wrt t?\n' | b'72*t + 4\n' | deepmind/math_dataset |
b'Suppose 0 = -l + 4*l + 5*a - 34, 3*l - 5*a = -16. Solve 4*h - 11 - 7 = -2*t, -2*t = l*h - 16 for t.\n' | b'5\n' | b'Suppose 0 = -l + 4*l + 5*a - 34, 3*l - 5*a = -16. Solve 4*h - 11 - 7 = -2*t, -2*t = l*h - 16 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let o(x) = 2*x**3 - 3*x**2 + 2*x - 2. Let v be o(2). Let y = v - 3. Find the second derivative of 4 - y*s - 4 - s**3 wrt s.\n' | b'-6*s\n' | b'Let o(x) = 2*x**3 - 3*x**2 + 2*x - 2. Let v be o(2). Let y = v - 3. Find the second derivative of 4 - y*s - 4 - s**3 wrt s.\n' | b'-6*s\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 7}.\n' | b'1\n' | b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 7}.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 1 k when two letters picked without replacement from {f: 1, j: 1, z: 4, v: 1, k: 4}?\n' | b'4/55\n' | b'What is prob of picking 1 f and 1 k when two letters picked without replacement from {f: 1, j: 1, z: 4, v: 1, k: 4}?\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify ((p**(3/4)/p)/p)**(-24)*((p*p*p/p**(-6))/p)/(p**6*p) assuming p is positive.\n' | b'p**31\n' | b'Simplify ((p**(3/4)/p)/p)**(-24)*((p*p*p/p**(-6))/p)/(p**6*p) assuming p is positive.\n' | b'p**31\n' | deepmind/math_dataset |
b'Find the first derivative of 97*g**3 - 93 + 315*g**3 - 3670 + 211*g**3 - 2*g + 9*g**2 - 249*g**3 wrt g.\n' | b'1122*g**2 + 18*g - 2\n' | b'Find the first derivative of 97*g**3 - 93 + 315*g**3 - 3670 + 211*g**3 - 2*g + 9*g**2 - 249*g**3 wrt g.\n' | b'1122*g**2 + 18*g - 2\n' | deepmind/math_dataset |
b'Let c = -32 + 34. Let k(j) = j**3 - 2*j**2 + 3*j - 2. Let t be k(c). Let i(u) = -u**2 + 4*u - 1. Determine i(t).\n' | b'-1\n' | b'Let c = -32 + 34. Let k(j) = j**3 - 2*j**2 + 3*j - 2. Let t be k(c). Let i(u) = -u**2 + 4*u - 1. Determine i(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 2, c: 1, f: 1, k: 2, e: 1, t: 8}. Give prob of picking 1 t, 1 e, 1 c, and 1 f.\n' | b'8/1365\n' | b'Four letters picked without replacement from {p: 2, c: 1, f: 1, k: 2, e: 1, t: 8}. Give prob of picking 1 t, 1 e, 1 c, and 1 f.\n' | b'8/1365\n' | deepmind/math_dataset |
b'Simplify (c*c*(c**(2/15)/c*c)/c*c*c/c**(-3))/((c/c**2*c)/c)**18 assuming c is positive.\n' | b'c**(362/15)\n' | b'Simplify (c*c*(c**(2/15)/c*c)/c*c*c/c**(-3))/((c/c**2*c)/c)**18 assuming c is positive.\n' | b'c**(362/15)\n' | deepmind/math_dataset |
b'Simplify ((o/(o**(-1/19)*o*o*o)*o)**41*(o*o**30*o)/(o/o**20))**11 assuming o is positive.\n' | b'o**(2541/19)\n' | b'Simplify ((o/(o**(-1/19)*o*o*o)*o)**41*(o*o**30*o)/(o/o**20))**11 assuming o is positive.\n' | b'o**(2541/19)\n' | deepmind/math_dataset |
b'Simplify (((q**4/q)/q*q)/q*q**8)/((q*q**(-1))/((q**8*q)/q))*((q*(q**(-5/6)/q)/q)/q*q*q**(-9))/(q/q**2)**28 assuming q is positive.\n' | b'q**(211/6)\n' | b'Simplify (((q**4/q)/q*q)/q*q**8)/((q*q**(-1))/((q**8*q)/q))*((q*(q**(-5/6)/q)/q)/q*q*q**(-9))/(q/q**2)**28 assuming q is positive.\n' | b'q**(211/6)\n' | deepmind/math_dataset |
b'Simplify ((m**1)**(-2/11)/(m**6/m*m/(m*m**1)*m))/((m**(-2/7))**(-28))**(-27) assuming m is positive.\n' | b'm**(2319/11)\n' | b'Simplify ((m**1)**(-2/11)/(m**6/m*m/(m*m**1)*m))/((m**(-2/7))**(-28))**(-27) assuming m is positive.\n' | b'm**(2319/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from groorrgmgrrrrgrr. Give prob of sequence mgrr.\n' | b'3/455\n' | b'Four letters picked without replacement from groorrgmgrrrrgrr. Give prob of sequence mgrr.\n' | b'3/455\n' | deepmind/math_dataset |
b'Simplify (x/x**(-2/13)*x/(x/((x/(x*x/(x/x**1)))/x)*x)*x*x*x/(x*x**(-2/9))*x**(-1/8))/(((x/x**0)/x*x)**(5/8))**7 assuming x is positive.\n' | b'x**(-965/234)\n' | b'Simplify (x/x**(-2/13)*x/(x/((x/(x*x/(x/x**1)))/x)*x)*x*x*x/(x*x**(-2/9))*x**(-1/8))/(((x/x**0)/x*x)**(5/8))**7 assuming x is positive.\n' | b'x**(-965/234)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {c: 1, q: 1, p: 3, i: 3, u: 2}.\n' | b'1/45\n' | b'Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {c: 1, q: 1, p: 3, i: 3, u: 2}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let f(t) = -t**3 - 7*t**2 - 5. Let i be (3/(-12))/(3 + (-39)/12). Let g(o) = -8*o + 1. Let c be g(i). Give f(c).\n' | b'-5\n' | b'Let f(t) = -t**3 - 7*t**2 - 5. Let i be (3/(-12))/(3 + (-39)/12). Let g(o) = -8*o + 1. Let c be g(i). Give f(c).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence jl when two letters picked without replacement from kkxjxkkkllkkkxlllxj.\n' | b'5/171\n' | b'Calculate prob of sequence jl when two letters picked without replacement from kkxjxkkkllkkkxlllxj.\n' | b'5/171\n' | deepmind/math_dataset |
b'Simplify (((j/j**(-2))/j)/j*j*j/(j*j**13))/(j**(-4/7)*j**(2/9)*j) assuming j is positive.\n' | b'j**(-734/63)\n' | b'Simplify (((j/j**(-2))/j)/j*j*j/(j*j**13))/(j**(-4/7)*j**(2/9)*j) assuming j is positive.\n' | b'j**(-734/63)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}.\n' | b'1\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Let j(a) = -a**2 + a - 1. Let w be ((-2448)/(-15))/12 - 2/(-5). Let t(v) be the first derivative of v**2/2 - 12*v + 1. Let u be t(w). What is j(u)?\n' | b'-3\n' | b'Let j(a) = -a**2 + a - 1. Let w be ((-2448)/(-15))/12 - 2/(-5). Let t(v) be the first derivative of v**2/2 - 12*v + 1. Let u be t(w). What is j(u)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 1 q when three letters picked without replacement from {h: 2, b: 2, p: 1, q: 1, r: 1}?\n' | b'1/35\n' | b'What is prob of picking 2 b and 1 q when three letters picked without replacement from {h: 2, b: 2, p: 1, q: 1, r: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify f**20/f*f*f**(-12) assuming f is positive.\n' | b'f**8\n' | b'Simplify f**20/f*f*f**(-12) assuming f is positive.\n' | b'f**8\n' | deepmind/math_dataset |
b'Simplify ((j**(-7/5)*(j/(j/(j*j**(2/3))*j))/j)/(j**(-11/3)*j**(-1)*j*j))**(-3/5) assuming j is positive.\n' | b'j**(-14/25)\n' | b'Simplify ((j**(-7/5)*(j/(j/(j*j**(2/3))*j))/j)/(j**(-11/3)*j**(-1)*j*j))**(-3/5) assuming j is positive.\n' | b'j**(-14/25)\n' | deepmind/math_dataset |
b'Let p(i) = i**3 + 6*i**2 + 6*i + 7. Let s be p(-5). What is the first derivative of -6 + 3 + s + 3*v**4 wrt v?\n' | b'12*v**3\n' | b'Let p(i) = i**3 + 6*i**2 + 6*i + 7. Let s be p(-5). What is the first derivative of -6 + 3 + s + 3*v**4 wrt v?\n' | b'12*v**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 2, o: 5}?\n' | b'1/7\n' | b'What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 2, o: 5}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 3*a = -3*f + 3, -21 = -5*f + a - 4. Find the third derivative of -7*q**2 + 7*q**f - 8*q**3 + q**3 - 5*q**4 wrt q.\n' | b'-120*q\n' | b'Suppose 3*a = -3*f + 3, -21 = -5*f + a - 4. Find the third derivative of -7*q**2 + 7*q**f - 8*q**3 + q**3 - 5*q**4 wrt q.\n' | b'-120*q\n' | deepmind/math_dataset |
b'Let p = 509 - 457. Suppose 49*y = p*y - 2*d - 23, y + 7 = -3*d. Solve y*f = h + 6, 2*h + 2*f = -0*f + 12 for h.\n' | b'4\n' | b'Let p = 509 - 457. Suppose 49*y = p*y - 2*d - 23, y + 7 = -3*d. Solve y*f = h + 6, 2*h + 2*f = -0*f + 12 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (v**(-4)*v**(2/27)/v)/(v*v*v**11*v*v*v**(1/17)) assuming v is positive.\n' | b'v**(-9173/459)\n' | b'Simplify (v**(-4)*v**(2/27)/v)/(v*v*v**11*v*v*v**(1/17)) assuming v is positive.\n' | b'v**(-9173/459)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 5, a: 15}. What is prob of sequence eaee?\n' | b'5/646\n' | b'Four letters picked without replacement from {e: 5, a: 15}. What is prob of sequence eaee?\n' | b'5/646\n' | deepmind/math_dataset |
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