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'What is the third derivative of 312*z**2 - 280*z**5 + 413*z**5 + 712*z**5 + 242*z**5 wrt z?\n' | b'65220*z**2\n' | b'What is the third derivative of 312*z**2 - 280*z**5 + 413*z**5 + 712*z**5 + 242*z**5 wrt z?\n' | b'65220*z**2\n' | deepmind/math_dataset |
b'Simplify ((h/(h*h**9)*h/h**(-13)*h)**17)**(-14/11) assuming h is positive.\n' | b'h**(-1428/11)\n' | b'Simplify ((h/(h*h**9)*h/h**(-13)*h)**17)**(-14/11) assuming h is positive.\n' | b'h**(-1428/11)\n' | deepmind/math_dataset |
b'Suppose 478 = 5*g - 142. Let x = -121 + g. Solve 13 = -2*h + x, 0 = 3*d - 4*h - 32 for d.\n' | b'4\n' | b'Suppose 478 = 5*g - 142. Let x = -121 + g. Solve 13 = -2*h + x, 0 = 3*d - 4*h - 32 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, q: 2, a: 1, g: 1, s: 1, k: 1}. What is prob of picking 1 n and 1 a?\n' | b'1/21\n' | b'Two letters picked without replacement from {n: 1, q: 2, a: 1, g: 1, s: 1, k: 1}. What is prob of picking 1 n and 1 a?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let i(t) = 7*t + 97. Let p be i(0). Suppose 4*r + 77 = p. Suppose -f = 2*m - 6, 2*m + 0 + 6 = r*f. Solve -q - f*d + 10 = -4*q, 5*q - 5*d + 25 = 0 for q.\n' | b'0\n' | b'Let i(t) = 7*t + 97. Let p be i(0). Suppose 4*r + 77 = p. Suppose -f = 2*m - 6, 2*m + 0 + 6 = r*f. Solve -q - f*d + 10 = -4*q, 5*q - 5*d + 25 = 0 for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((v/(v*((v*((v/v**0)/v)/v*v)/v*v)/v))**19/(v**0*v*v**(4/3)))/((v**(-5)/v)/(v**(-1)/v)*(v**(-2/7))**(-19/4)) assuming v is positive.\n' | b'v**(13/42)\n' | b'Simplify ((v/(v*((v*((v/v**0)/v)/v*v)/v*v)/v))**19/(v**0*v*v**(4/3)))/((v**(-5)/v)/(v**(-1)/v)*(v**(-2/7))**(-19/4)) assuming v is positive.\n' | b'v**(13/42)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gfqf when four letters picked without replacement from {q: 6, k: 3, f: 2, g: 4, m: 1}.\n' | b'1/910\n' | b'Calculate prob of sequence gfqf when four letters picked without replacement from {q: 6, k: 3, f: 2, g: 4, m: 1}.\n' | b'1/910\n' | deepmind/math_dataset |
b'Let h(a) be the first derivative of a**9/504 - a**5/30 - 3*a**2/2 - 3. Let z(b) be the second derivative of h(b). What is the third derivative of z(d) wrt d?\n' | b'120*d**3\n' | b'Let h(a) be the first derivative of a**9/504 - a**5/30 - 3*a**2/2 - 3. Let z(b) be the second derivative of h(b). What is the third derivative of z(d) wrt d?\n' | b'120*d**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from ppplppppppppl.\n' | b'1/78\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from ppplppppppppl.\n' | b'1/78\n' | deepmind/math_dataset |
b'Suppose -2*s = 4*h + 12, 3*s = 3*h + 23 - 5. Suppose s*r - 27 = -4*c - c, 37 = 2*r - 5*c. Suppose 20*g = r*g + 16. Solve -a - a + g = 2*j, -j + 1 = 0 for a.\n' | b'1\n' | b'Suppose -2*s = 4*h + 12, 3*s = 3*h + 23 - 5. Suppose s*r - 27 = -4*c - c, 37 = 2*r - 5*c. Suppose 20*g = r*g + 16. Solve -a - a + g = 2*j, -j + 1 = 0 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let h be (-1)/(3/(-9)) + -1. Let c(j) = -1 - h + 2 - 1 - j. Let b be 9/(-5) - 3/15. What is c(b)?\n' | b'0\n' | b'Let h be (-1)/(3/(-9)) + -1. Let c(j) = -1 - h + 2 - 1 - j. Let b be 9/(-5) - 3/15. What is c(b)?\n' | b'0\n' | deepmind/math_dataset |
b'Let m(z) = 12 - 3 - 17 - 2*z. Determine m(-3).\n' | b'-2\n' | b'Let m(z) = 12 - 3 - 17 - 2*z. Determine m(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'Let q be (-17 - -17)*(-2)/(-4). Solve -5*o - 5*d + 30 = -q*o, -o - 4*d = -9 for o.\n' | b'5\n' | b'Let q be (-17 - -17)*(-2)/(-4). Solve -5*o - 5*d + 30 = -q*o, -o - 4*d = -9 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (g**27/g)/(((((g*g*g/(g*g/(g**(-7/2)*g))*g)/g)/g)/g*g)/g) assuming g is positive.\n' | b'g**(59/2)\n' | b'Simplify (g**27/g)/(((((g*g*g/(g*g/(g**(-7/2)*g))*g)/g)/g)/g*g)/g) assuming g is positive.\n' | b'g**(59/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 4, d: 3, t: 1}. What is prob of sequence dtx?\n' | b'1/28\n' | b'Three letters picked without replacement from {x: 4, d: 3, t: 1}. What is prob of sequence dtx?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence unj when three letters picked without replacement from {e: 1, j: 3, n: 1, u: 9, a: 4}.\n' | b'3/544\n' | b'Calculate prob of sequence unj when three letters picked without replacement from {e: 1, j: 3, n: 1, u: 9, a: 4}.\n' | b'3/544\n' | deepmind/math_dataset |
b'Let r(s) be the second derivative of -3*s**3/2 - 47*s**2/2 - 4871*s. Determine r(-10).\n' | b'43\n' | b'Let r(s) be the second derivative of -3*s**3/2 - 47*s**2/2 - 4871*s. Determine r(-10).\n' | b'43\n' | deepmind/math_dataset |
b'Let j be (-2 - -1)/(8/(-16)). Suppose 4*x + j = 5*m, m - 3*m - x = -6. Solve 0 = -m*f - o + 2, -5*o = -3*f + 2 + 1 for f.\n' | b'1\n' | b'Let j be (-2 - -1)/(8/(-16)). Suppose 4*x + j = 5*m, m - 3*m - x = -6. Solve 0 = -m*f - o + 2, -5*o = -3*f + 2 + 1 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let l(j) = 3*j - 8. Suppose 3*c + 8 = -10. Let w(h) = h - 3. Let u(t) = c*l(t) + 17*w(t). Let v(n) = -n - 7. Let g be v(-7). Calculate u(g).\n' | b'-3\n' | b'Let l(j) = 3*j - 8. Suppose 3*c + 8 = -10. Let w(h) = h - 3. Let u(t) = c*l(t) + 17*w(t). Let v(n) = -n - 7. Let g be v(-7). Calculate u(g).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence xzx when three letters picked without replacement from {x: 5, z: 2}.\n' | b'4/21\n' | b'Calculate prob of sequence xzx when three letters picked without replacement from {x: 5, z: 2}.\n' | b'4/21\n' | deepmind/math_dataset |
b'Let h(d) be the third derivative of d**5/60 - 3*d**4/8 - 10*d**3/3 - 13*d**2 + 5. Let u be h(11). Solve -7*m - 5*k = -u*m, 3*k + 8 = m for m.\n' | b'2\n' | b'Let h(d) be the third derivative of d**5/60 - 3*d**4/8 - 10*d**3/3 - 13*d**2 + 5. Let u be h(11). Solve -7*m - 5*k = -u*m, 3*k + 8 = m for m.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((q*q*q**(7/4)/q*q**(-6))/((q/q**(-1/4))/q*q)**(7/5))/(((q/(q*q/(((q*q**(-6))/q)/q)))/q)/(q/(q*q**4))*q*q**(3/8)/q*q**(-4/3)) assuming q is positive.\n' | b'q**(23/24)\n' | b'Simplify ((q*q*q**(7/4)/q*q**(-6))/((q/q**(-1/4))/q*q)**(7/5))/(((q/(q*q/(((q*q**(-6))/q)/q)))/q)/(q/(q*q**4))*q*q**(3/8)/q*q**(-4/3)) assuming q is positive.\n' | b'q**(23/24)\n' | deepmind/math_dataset |
b'Let a be -1 - -1 - (-7)/(-14)*-1*6. Solve -s + 4*u + 1 = 0, 46*s - a*u = 41*s + 22 for s.\n' | b'5\n' | b'Let a be -1 - -1 - (-7)/(-14)*-1*6. Solve -s + 4*u + 1 = 0, 46*s - a*u = 41*s + 22 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(x) be the first derivative of 5/2*x**2 - 1 + 0*x - 1/3*x**3. What is k(6)?\n' | b'-6\n' | b'Let k(x) be the first derivative of 5/2*x**2 - 1 + 0*x - 1/3*x**3. What is k(6)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((g*g/g**(5/3))/g**12)/(g*g**(-14/3))**(-2/19) assuming g is positive.\n' | b'g**(-229/19)\n' | b'Simplify ((g*g/g**(5/3))/g**12)/(g*g**(-14/3))**(-2/19) assuming g is positive.\n' | b'g**(-229/19)\n' | deepmind/math_dataset |
b'Let m(n) = n**3 - n**2 + 2. Let a be m(3). Let p = 25 - -3. Solve 0*y = 4*f - y - a, 5*y = 2*f - p for f.\n' | b'4\n' | b'Let m(n) = n**3 - n**2 + 2. Let a be m(3). Let p = 25 - -3. Solve 0*y = 4*f - y - a, 5*y = 2*f - p for f.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence oto when three letters picked without replacement from {t: 4, v: 6, o: 5}.\n' | b'8/273\n' | b'Calculate prob of sequence oto when three letters picked without replacement from {t: 4, v: 6, o: 5}.\n' | b'8/273\n' | deepmind/math_dataset |
b'Two letters picked without replacement from znznnnznzzzzwznkkz. Give prob of picking 2 n.\n' | b'5/51\n' | b'Two letters picked without replacement from znznnnznzzzzwznkkz. Give prob of picking 2 n.\n' | b'5/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 t when four letters picked without replacement from {f: 1, k: 5, a: 2, t: 8}.\n' | b'1/26\n' | b'Calculate prob of picking 4 t when four letters picked without replacement from {f: 1, k: 5, a: 2, t: 8}.\n' | b'1/26\n' | deepmind/math_dataset |
b'Let s = 20 + -1. Let n = 30 - s. Solve a - 3*a - 2 = -d, -2*d - n = a for a.\n' | b'-3\n' | b'Let s = 20 + -1. Let n = 30 - s. Solve a - 3*a - 2 = -d, -2*d - n = a for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oyaaweyokaoayeeaea. What is prob of picking 1 w and 1 y?\n' | b'1/51\n' | b'Two letters picked without replacement from oyaaweyokaoayeeaea. What is prob of picking 1 w and 1 y?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let n(j) = -j**2 - 16*j - 19. Suppose 32 = -2*q + 2*s, 25 = -2*q + 60*s - 65*s. What is n(q)?\n' | b'-4\n' | b'Let n(j) = -j**2 - 16*j - 19. Suppose 32 = -2*q + 2*s, 25 = -2*q + 60*s - 65*s. What is n(q)?\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, y: 4, g: 1, o: 1, e: 2}. Give prob of picking 1 r, 2 g, and 1 o.\n' | b'0\n' | b'Four letters picked without replacement from {r: 2, y: 4, g: 1, o: 1, e: 2}. Give prob of picking 1 r, 2 g, and 1 o.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(g) be the third derivative of -g**5/60 - 17*g**4/24 + g**3 + g**2 + 517*g - 1. What is q(-9)?\n' | b'78\n' | b'Let q(g) be the third derivative of -g**5/60 - 17*g**4/24 + g**3 + g**2 + 517*g - 1. What is q(-9)?\n' | b'78\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 1, h: 1, w: 2, b: 1, q: 2, j: 1}. What is prob of sequence jqb?\n' | b'1/168\n' | b'Three letters picked without replacement from {u: 1, h: 1, w: 2, b: 1, q: 2, j: 1}. What is prob of sequence jqb?\n' | b'1/168\n' | deepmind/math_dataset |
b'What is prob of sequence iss when three letters picked without replacement from {s: 14, i: 1}?\n' | b'1/15\n' | b'What is prob of sequence iss when three letters picked without replacement from {s: 14, i: 1}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dcqqdddcdddddgdkld. Give prob of picking 1 c, 1 l, and 1 d.\n' | b'11/408\n' | b'Three letters picked without replacement from dcqqdddcdddddgdkld. Give prob of picking 1 c, 1 l, and 1 d.\n' | b'11/408\n' | deepmind/math_dataset |
b'What is prob of sequence rkr when three letters picked without replacement from {k: 2, r: 2}?\n' | b'1/6\n' | b'What is prob of sequence rkr when three letters picked without replacement from {k: 2, r: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 4, p: 4, l: 1, c: 3, v: 1, o: 1}. Give prob of sequence rrc.\n' | b'3/182\n' | b'Three letters picked without replacement from {r: 4, p: 4, l: 1, c: 3, v: 1, o: 1}. Give prob of sequence rrc.\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify (b**(-2/11)/b)**(-2) assuming b is positive.\n' | b'b**(26/11)\n' | b'Simplify (b**(-2/11)/b)**(-2) assuming b is positive.\n' | b'b**(26/11)\n' | deepmind/math_dataset |
b'Suppose 0 = -2*l + 6 - 4. Let a be ((-4116)/(-238))/6 - 4/(-34). Solve -2*f - l = -3*b + a, b = -f - 2 for b.\n' | b'0\n' | b'Suppose 0 = -2*l + 6 - 4. Let a be ((-4116)/(-238))/6 - 4/(-34). Solve -2*f - l = -3*b + a, b = -f - 2 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-10))/y)/((y*y**(-1/33)*y)/y)*y**(-8/3)/(y/y**(2/39)) assuming y is positive.\n' | b'y**(-6257/429)\n' | b'Simplify ((y*y**(-10))/y)/((y*y**(-1/33)*y)/y)*y**(-8/3)/(y/y**(2/39)) assuming y is positive.\n' | b'y**(-6257/429)\n' | deepmind/math_dataset |
b'Suppose 17 = 2*k + 3. Suppose k*h - 262 = 102. Suppose 3*q - 56 - 9 = -5*w, -4*w = q - h. Solve 5*v + j - w = 0, -3*v + 5 = -2*j + 4*j for v.\n' | b'3\n' | b'Suppose 17 = 2*k + 3. Suppose k*h - 262 = 102. Suppose 3*q - 56 - 9 = -5*w, -4*w = q - h. Solve 5*v + j - w = 0, -3*v + 5 = -2*j + 4*j for v.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dzmdmdzmmmmzzdzzmz. What is prob of sequence mmm?\n' | b'35/816\n' | b'Three letters picked without replacement from dzmdmdzmmmmzzdzzmz. What is prob of sequence mmm?\n' | b'35/816\n' | deepmind/math_dataset |
b'Let i = -55 + 65. Let o be (104/(-65))/((-4)/i). Solve -5 = 5*n - o*m, 4*n - 18 - 9 = -3*m for n.\n' | b'3\n' | b'Let i = -55 + 65. Let o be (104/(-65))/((-4)/i). Solve -5 = 5*n - o*m, 4*n - 18 - 9 = -3*m for n.\n' | b'3\n' | deepmind/math_dataset |
b'Let h = 1986 + -1984. Let m(j) = -j**3 + 4*j**2 - 3*j. Let d be m(2). What is the second derivative of -3*s**d - 667*s + 676*s + 3*s**h + 24*s**2 wrt s?\n' | b'48\n' | b'Let h = 1986 + -1984. Let m(j) = -j**3 + 4*j**2 - 3*j. Let d be m(2). What is the second derivative of -3*s**d - 667*s + 676*s + 3*s**h + 24*s**2 wrt s?\n' | b'48\n' | deepmind/math_dataset |
b'Let j(p) be the third derivative of p**9/252 + 71*p**8/112 - 227*p**5/10 + 1576*p**2 - 2*p. Find the third derivative of j(w) wrt w.\n' | b'240*w**3 + 12780*w**2\n' | b'Let j(p) be the third derivative of p**9/252 + 71*p**8/112 - 227*p**5/10 + 1576*p**2 - 2*p. Find the third derivative of j(w) wrt w.\n' | b'240*w**3 + 12780*w**2\n' | deepmind/math_dataset |
b'Simplify (m*(m/m**(-1/10))/m)/((m*m**(2/3))/m)*(m*m*m**(-1/4))**(-23) assuming m is positive.\n' | b'm**(-2389/60)\n' | b'Simplify (m*(m/m**(-1/10))/m)/((m*m**(2/3))/m)*(m*m*m**(-1/4))**(-23) assuming m is positive.\n' | b'm**(-2389/60)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pphffffdwpdffhpfpfff. Give prob of picking 2 p, 1 f, and 1 h.\n' | b'40/969\n' | b'Four letters picked without replacement from pphffffdwpdffhpfpfff. Give prob of picking 2 p, 1 f, and 1 h.\n' | b'40/969\n' | deepmind/math_dataset |
b'Let y be 3 + 4 + -2 + -3. Suppose y*l = 4*f - l - 307, 0 = 4*f + 4*l - 272. Let g = f - 48. Solve -5*p = -g, 6 + 7 = 4*w + 5*p for w.\n' | b'-3\n' | b'Let y be 3 + 4 + -2 + -3. Suppose y*l = 4*f - l - 307, 0 = 4*f + 4*l - 272. Let g = f - 48. Solve -5*p = -g, 6 + 7 = 4*w + 5*p for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(g) = -g + 2. Let r(k) = -2*k + 1. Let z(x) = -11*x + 17. Let t(a) = 2*r(a) - z(a). Let h(s) = -6*n(s) - t(s). Give h(5).\n' | b'-2\n' | b'Let n(g) = -g + 2. Let r(k) = -2*k + 1. Let z(x) = -11*x + 17. Let t(a) = 2*r(a) - z(a). Let h(s) = -6*n(s) - t(s). Give h(5).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence llv when three letters picked without replacement from vlsvnlv.\n' | b'1/35\n' | b'Calculate prob of sequence llv when three letters picked without replacement from vlsvnlv.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is the first derivative of -208*m**2 + 208*m**2 - 22*m**3 + 59 - 12*m**3 wrt m?\n' | b'-102*m**2\n' | b'What is the first derivative of -208*m**2 + 208*m**2 - 22*m**3 + 59 - 12*m**3 wrt m?\n' | b'-102*m**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 10, b: 2, f: 3}. Give prob of picking 1 b and 3 q.\n' | b'16/91\n' | b'Four letters picked without replacement from {q: 10, b: 2, f: 3}. Give prob of picking 1 b and 3 q.\n' | b'16/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from ttttttttt.\n' | b'1\n' | b'Calculate prob of sequence tt when two letters picked without replacement from ttttttttt.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(o) = 7*o - 1. Let k be v(2). Let l = 23 - 5. Find the second derivative of -21*t + k*t**2 + 35*t - l*t wrt t.\n' | b'26\n' | b'Let v(o) = 7*o - 1. Let k be v(2). Let l = 23 - 5. Find the second derivative of -21*t + k*t**2 + 35*t - l*t wrt t.\n' | b'26\n' | deepmind/math_dataset |
b'Let u(z) = z**3 - 2*z**2 - 4*z + 3. Let b be 0 + -1 - 9/9. Suppose -9*v + 111 = -33. Let s be ((-24)/v)/(1/b). Determine u(s).\n' | b'0\n' | b'Let u(z) = z**3 - 2*z**2 - 4*z + 3. Let b be 0 + -1 - 9/9. Suppose -9*v + 111 = -33. Let s be ((-24)/v)/(1/b). Determine u(s).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -20*k = 2164 - 1804. Let r(h) = -h**2 - 15*h + 58. Determine r(k).\n' | b'4\n' | b'Suppose -20*k = 2164 - 1804. Let r(h) = -h**2 - 15*h + 58. Determine r(k).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 b when two letters picked without replacement from bbpbrpbbx?\n' | b'5/18\n' | b'What is prob of picking 2 b when two letters picked without replacement from bbpbrpbbx?\n' | b'5/18\n' | deepmind/math_dataset |
b'Let t(b) = -28*b - 2*b**2 + 20*b - 4 + 16*b. What is t(5)?\n' | b'-14\n' | b'Let t(b) = -28*b - 2*b**2 + 20*b - 4 + 16*b. What is t(5)?\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify ((y*y*(y*y/y**(1/3))/y)**(-3/14)*y**(-3)*y*(y/(y/(y*y**(-6))))/y)**(-1/2) assuming y is positive.\n' | b'y**(30/7)\n' | b'Simplify ((y*y*(y*y/y**(1/3))/y)**(-3/14)*y**(-3)*y*(y/(y/(y*y**(-6))))/y)**(-1/2) assuming y is positive.\n' | b'y**(30/7)\n' | deepmind/math_dataset |
b'Simplify ((g*g**(-4)/g)/(g**(-1/5)/g))/((g/g**(-1/2))/g*g/g**(2/3)*g) assuming g is positive.\n' | b'g**(-139/30)\n' | b'Simplify ((g*g**(-4)/g)/(g**(-1/5)/g))/((g/g**(-1/2))/g*g/g**(2/3)*g) assuming g is positive.\n' | b'g**(-139/30)\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**(2/17))*f)/f**(3/7)*f**(-10/3)*f*f/(f/(f**(10/3)/f)) assuming f is positive.\n' | b'f**(54/119)\n' | b'Simplify (f/(f*f**(2/17))*f)/f**(3/7)*f**(-10/3)*f*f/(f/(f**(10/3)/f)) assuming f is positive.\n' | b'f**(54/119)\n' | deepmind/math_dataset |
b'Let j(v) = v**3 + 2*v**2 + v - 5. Let p(f) = -f**2 + 1. Let y(b) = -j(b) - 6*p(b). Let g(k) = 4*k**2 - 11*k - 1. Let a be g(3). Determine y(a).\n' | b'5\n' | b'Let j(v) = v**3 + 2*v**2 + v - 5. Let p(f) = -f**2 + 1. Let y(b) = -j(b) - 6*p(b). Let g(k) = 4*k**2 - 11*k - 1. Let a be g(3). Determine y(a).\n' | b'5\n' | deepmind/math_dataset |
b'Let a be ((-4)/6)/((-4)/30). Let k(n) = n**3 - 13*n**2 + 27*n - 9. Let c be k(11). Let d be a/20 - c/(-8). Solve 0 = -2*f + 1 - 5, 3*f + d = -2*l for l.\n' | b'0\n' | b'Let a be ((-4)/6)/((-4)/30). Let k(n) = n**3 - 13*n**2 + 27*n - 9. Let c be k(11). Let d be a/20 - c/(-8). Solve 0 = -2*f + 1 - 5, 3*f + d = -2*l for l.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify o**(3/22)*o*(o**(1/5)/o)/o*(o*o**(3/7))**45 assuming o is positive.\n' | b'o**(48989/770)\n' | b'Simplify o**(3/22)*o*(o**(1/5)/o)/o*(o*o**(3/7))**45 assuming o is positive.\n' | b'o**(48989/770)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xmo when three letters picked without replacement from xyxemxo.\n' | b'1/70\n' | b'Calculate prob of sequence xmo when three letters picked without replacement from xyxemxo.\n' | b'1/70\n' | deepmind/math_dataset |
b'Suppose 0 = 5*f + 2*h - 26, -4*f + h + 3*h = -4. Solve 4*d + 44 - f = 4*i, 5*i = -5*d for i.\n' | b'5\n' | b'Suppose 0 = 5*f + 2*h - 26, -4*f + h + 3*h = -4. Solve 4*d + 44 - f = 4*i, 5*i = -5*d for i.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (b/(b/b**10)*b**(-24))/((b/((b/(b/(b/b**(-3/10))))/b)*b*b)/b*b**24/b) assuming b is positive.\n' | b'b**(-387/10)\n' | b'Simplify (b/(b/b**10)*b**(-24))/((b/((b/(b/(b/b**(-3/10))))/b)*b*b)/b*b**24/b) assuming b is positive.\n' | b'b**(-387/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvjtsivtviiitrvriiis. What is prob of picking 1 r and 2 t?\n' | b'1/190\n' | b'Three letters picked without replacement from vvjtsivtviiitrvriiis. What is prob of picking 1 r and 2 t?\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify (c**(-15)*(c/(c*c**5*c))/c*c/(c*c*c*c**(-1/60))*c*c/c**(-1/3))**(-41) assuming c is positive.\n' | b'c**(17753/20)\n' | b'Simplify (c**(-15)*(c/(c*c**5*c))/c*c/(c*c*c*c**(-1/60))*c*c/c**(-1/3))**(-41) assuming c is positive.\n' | b'c**(17753/20)\n' | deepmind/math_dataset |
b'Let c(x) = -x**3 + 9*x**2 - 10*x + 11. Let r(u) = -2*u**2 - 26*u + 4. Let y(v) = v**2 - 1. Let a(n) = -r(n) + 2*y(n). Let j be a(-7). What is c(j)?\n' | b'-5\n' | b'Let c(x) = -x**3 + 9*x**2 - 10*x + 11. Let r(u) = -2*u**2 - 26*u + 4. Let y(v) = v**2 - 1. Let a(n) = -r(n) + 2*y(n). Let j be a(-7). What is c(j)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((j/j**8)**(3/20)/(j*j*j**10*j*j**(-1/21)))**(43/4) assuming j is positive.\n' | b'j**(-252883/1680)\n' | b'Simplify ((j/j**8)**(3/20)/(j*j*j**10*j*j**(-1/21)))**(43/4) assuming j is positive.\n' | b'j**(-252883/1680)\n' | deepmind/math_dataset |
b'Let r(q) = 6*q**3 + 2*q**2 + 3*q - 4. Let m(d) = 7*d**3 + 2*d**2 + 4*d - 5. Let h(l) = 5*m(l) - 6*r(l). Let o be (-3)/3 + 1 + -3. Calculate h(o).\n' | b'2\n' | b'Let r(q) = 6*q**3 + 2*q**2 + 3*q - 4. Let m(d) = 7*d**3 + 2*d**2 + 4*d - 5. Let h(l) = 5*m(l) - 6*r(l). Let o be (-3)/3 + 1 + -3. Calculate h(o).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from {t: 10}?\n' | b'1\n' | b'What is prob of sequence tt when two letters picked without replacement from {t: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Let q(r) be the third derivative of 0*r**3 + 0 + 0*r + 0*r**7 + 0*r**6 - 11/168*r**8 + 0*r**5 - 7/8*r**4 - 15*r**2. What is the second derivative of q(a) wrt a?\n' | b'-440*a**3\n' | b'Let q(r) be the third derivative of 0*r**3 + 0 + 0*r + 0*r**7 + 0*r**6 - 11/168*r**8 + 0*r**5 - 7/8*r**4 - 15*r**2. What is the second derivative of q(a) wrt a?\n' | b'-440*a**3\n' | deepmind/math_dataset |
b'Let v be 4/2 - 6*1. Let q = v - -21. Let m(s) = s**3 - 46*s**2 - 98*s + 102. Let k be m(48). Solve -2*p + 4*d = -k, -d + q = -5*p + 5 for p.\n' | b'-3\n' | b'Let v be 4/2 - 6*1. Let q = v - -21. Let m(s) = s**3 - 46*s**2 - 98*s + 102. Let k be m(48). Solve -2*p + 4*d = -k, -d + q = -5*p + 5 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((n/(n*n*n**0*n)*n)/n)**(4/19)/(n/n**(3/5)*n*n**(3/4)) assuming n is positive.\n' | b'n**(-977/380)\n' | b'Simplify ((n/(n*n*n**0*n)*n)/n)**(4/19)/(n/n**(3/5)*n*n**(3/4)) assuming n is positive.\n' | b'n**(-977/380)\n' | deepmind/math_dataset |
b'Simplify (b**(-1/4)/b)**19*b**(1/4)*b**5/b assuming b is positive.\n' | b'b**(-39/2)\n' | b'Simplify (b**(-1/4)/b)**19*b**(1/4)*b**5/b assuming b is positive.\n' | b'b**(-39/2)\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from zgzzzzzzgzzz?\n' | b'15/22\n' | b'What is prob of sequence zz when two letters picked without replacement from zgzzzzzzgzzz?\n' | b'15/22\n' | deepmind/math_dataset |
b'Let k(d) = 4*d + 5. Suppose u + 3 = -2*u. Let q(l) = -l. Let z(i) = u*k(i) - 3*q(i). Determine z(4).\n' | b'-9\n' | b'Let k(d) = 4*d + 5. Suppose u + 3 = -2*u. Let q(l) = -l. Let z(i) = u*k(i) - 3*q(i). Determine z(4).\n' | b'-9\n' | deepmind/math_dataset |
b'Let h(i) be the second derivative of -i**5/120 - i**4/8 + 19*i**3/6 - i**2/2 + 39*i. Let n(b) be the second derivative of h(b). What is n(-4)?\n' | b'1\n' | b'Let h(i) be the second derivative of -i**5/120 - i**4/8 + 19*i**3/6 - i**2/2 + 39*i. Let n(b) be the second derivative of h(b). What is n(-4)?\n' | b'1\n' | deepmind/math_dataset |
b'Let u = -24 - -26. Solve l + 2*l = j + u, 0 = 5*l - 3*j - 10 for l.\n' | b'-1\n' | b'Let u = -24 - -26. Solve l + 2*l = j + u, 0 = 5*l - 3*j - 10 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((a*a*a**(-1/2)*a)**(3/7))**(-42)*(a**(-2)/(a**(1/4)/a))/(((a/a**(2/19))/a)/a**(-6)) assuming a is positive.\n' | b'a**(-3963/76)\n' | b'Simplify ((a*a*a**(-1/2)*a)**(3/7))**(-42)*(a**(-2)/(a**(1/4)/a))/(((a/a**(2/19))/a)/a**(-6)) assuming a is positive.\n' | b'a**(-3963/76)\n' | deepmind/math_dataset |
b'Let q be 6 + 153 + 5 + 5. Let l = q - 164. Solve -c - 2*a - l = -3, 6 = -c - 4*a for c.\n' | b'2\n' | b'Let q be 6 + 153 + 5 + 5. Let l = q - 164. Solve -c - 2*a - l = -3, 6 = -c - 4*a for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 31 - 26 = 5*o - 4*o. Let w = -4 - -8. Solve 2*k = w*h - 2, -o*h + 8 = 3*k - 11 for k.\n' | b'3\n' | b'Suppose 31 - 26 = 5*o - 4*o. Let w = -4 - -8. Solve 2*k = w*h - 2, -o*h + 8 = 3*k - 11 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let p be 4*(2 - 1 - 2). Let o be 6 + -1 + p + 4. Solve 5 = o*r + 5*v, 4*r + 5*v + 3 = 6 for r.\n' | b'2\n' | b'Let p be 4*(2 - 1 - 2). Let o be 6 + -1 + p + 4. Solve 5 = o*r + 5*v, 4*r + 5*v + 3 = 6 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, k: 2, w: 4}. What is prob of picking 2 k and 1 v?\n' | b'1/28\n' | b'Three letters picked without replacement from {v: 3, k: 2, w: 4}. What is prob of picking 2 k and 1 v?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let v = 20 - 18. Suppose 0 = -2*l + 5*l - 30. Solve m = 2*m + 5*b + v, l = -5*m - 4*b for m.\n' | b'-2\n' | b'Let v = 20 - 18. Suppose 0 = -2*l + 5*l - 30. Solve m = 2*m + 5*b + v, l = -5*m - 4*b for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m be ((-16)/(-24) - 4)*(-6)/4. Let p(r) = r**3 - 5*r**2 + 2*r - 2. Determine p(m).\n' | b'8\n' | b'Let m be ((-16)/(-24) - 4)*(-6)/4. Let p(r) = r**3 - 5*r**2 + 2*r - 2. Determine p(m).\n' | b'8\n' | deepmind/math_dataset |
b'Let w(u) be the third derivative of -u**4/24 + 7*u**3/6 + 5*u**2. What is w(5)?\n' | b'2\n' | b'Let w(u) be the third derivative of -u**4/24 + 7*u**3/6 + 5*u**2. What is w(5)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*f - 4*r - 43 = -7, 40 = 5*f - 4*r. Let i = f + 19. Solve -c = -5*q - i, 0 + 15 = -3*q for c.\n' | b'-2\n' | b'Suppose 4*f - 4*r - 43 = -7, 40 = 5*f - 4*r. Let i = f + 19. Solve -c = -5*q - i, 0 + 15 = -3*q for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, c: 3, i: 1, r: 4, x: 2, j: 1}. Give prob of sequence rrbj.\n' | b'1/990\n' | b'Four letters picked without replacement from {b: 1, c: 3, i: 1, r: 4, x: 2, j: 1}. Give prob of sequence rrbj.\n' | b'1/990\n' | deepmind/math_dataset |
b'Let t be (-10)/15*-3*3. Suppose k - t = -3. Suppose -5*n + 4*w + 0*w = -62, -45 = -3*n + 5*w. Solve 3*x + n = x + b, -k*x + b - 15 = 0 for x.\n' | b'-5\n' | b'Let t be (-10)/15*-3*3. Suppose k - t = -3. Suppose -5*n + 4*w + 0*w = -62, -45 = -3*n + 5*w. Solve 3*x + n = x + b, -k*x + b - 15 = 0 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from uuaeuuueeruuuauruea.\n' | b'5/19\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from uuaeuuueeruuuauruea.\n' | b'5/19\n' | deepmind/math_dataset |
b'Calculate prob of sequence ni when two letters picked without replacement from {d: 2, w: 8, y: 1, i: 3, n: 1, m: 1}.\n' | b'1/80\n' | b'Calculate prob of sequence ni when two letters picked without replacement from {d: 2, w: 8, y: 1, i: 3, n: 1, m: 1}.\n' | b'1/80\n' | deepmind/math_dataset |
b'Let b = -26 - -29. Suppose 3*i - 4*m - 41 = 0, -b*i + 3*m = m - 31. What is the second derivative of -i - 10*a**2 + 5*a - 1 + 8 wrt a?\n' | b'-20\n' | b'Let b = -26 - -29. Suppose 3*i - 4*m - 41 = 0, -b*i + 3*m = m - 31. What is the second derivative of -i - 10*a**2 + 5*a - 1 + 8 wrt a?\n' | b'-20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvevvvvv. Give prob of sequence ve.\n' | b'1/8\n' | b'Two letters picked without replacement from vvevvvvv. Give prob of sequence ve.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence ktf when three letters picked without replacement from kvcevkvcttkf?\n' | b'1/220\n' | b'What is prob of sequence ktf when three letters picked without replacement from kvcevkvcttkf?\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose 3*j + f + 4*f - 24 = 0, -5*j = 5*f - 30. Let c be (6/(-2))/(j/(-3)). Suppose -l - c*l + 24 = 0. Solve -3*h - 5 = d, -l*h + 2*h - 5*d - 25 = 0 for h.\n' | b'0\n' | b'Suppose 3*j + f + 4*f - 24 = 0, -5*j = 5*f - 30. Let c be (6/(-2))/(j/(-3)). Suppose -l - c*l + 24 = 0. Solve -3*h - 5 = d, -l*h + 2*h - 5*d - 25 = 0 for h.\n' | b'0\n' | deepmind/math_dataset |
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