question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let l(o) be the first derivative of -o**3/3 + 3*o**2/2 + 5*o + 28. Calculate l(4).\n' | b'1\n' | b'Let l(o) be the first derivative of -o**3/3 + 3*o**2/2 + 5*o + 28. Calculate l(4).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from dwdbbbwebbdb.\n' | b'1/22\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from dwdbbbwebbdb.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let z be 0 - 8 - ((-35 - -1) + 22). Solve -2*t - z*y + 6 = 0, -5*y = -12*t + 11*t - 4 for t.\n' | b'1\n' | b'Let z be 0 - 8 - ((-35 - -1) + 22). Solve -2*t - z*y + 6 = 0, -5*y = -12*t + 11*t - 4 for t.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 f when two letters picked without replacement from prprpkpfpfpffp?\n' | b'4/13\n' | b'What is prob of picking 1 p and 1 f when two letters picked without replacement from prprpkpfpfpffp?\n' | b'4/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwwwmmwwwmwmwwwmm. Give prob of picking 2 m.\n' | b'5/51\n' | b'Two letters picked without replacement from wwwwwmmwwwmwmwwwmm. Give prob of picking 2 m.\n' | b'5/51\n' | deepmind/math_dataset |
b'Let t = 226 - 224. Let x(r) = 78*r**2 - 123*r + 5. Let z(i) = -39*i**2 + 62*i - 2. Let l(k) = t*x(k) + 5*z(k). Find the second derivative of l(b) wrt b.\n' | b'-78\n' | b'Let t = 226 - 224. Let x(r) = 78*r**2 - 123*r + 5. Let z(i) = -39*i**2 + 62*i - 2. Let l(k) = t*x(k) + 5*z(k). Find the second derivative of l(b) wrt b.\n' | b'-78\n' | deepmind/math_dataset |
b'Suppose -4*h + 3*x = 12, 8*x = 5*h + 3*x + 20. Suppose h = 4*o - o - 3. Let u be (-15)/(-3) + o/(-1). Solve -5*f = -2*d - 0*f + 20, -4*f = u*d - 12 for d.\n' | b'5\n' | b'Suppose -4*h + 3*x = 12, 8*x = 5*h + 3*x + 20. Suppose h = 4*o - o - 3. Let u be (-15)/(-3) + o/(-1). Solve -5*f = -2*d - 0*f + 20, -4*f = u*d - 12 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((o**8*o*o*o*o*o**9)/(((o/(o*o**6/o))/o)/o**(-3)))/(((o/(o*o**(8/5)/o))/(o**(-5/7)*o))/(o/((o**(-4)*o)/o*o*o)*o*o/o**(-5)*o)) assuming o is positive.\n' | b'o**(1256/35)\n' | b'Simplify ((o**8*o*o*o*o*o**9)/(((o/(o*o**6/o))/o)/o**(-3)))/(((o/(o*o**(8/5)/o))/(o**(-5/7)*o))/(o/((o**(-4)*o)/o*o*o)*o*o/o**(-5)*o)) assuming o is positive.\n' | b'o**(1256/35)\n' | deepmind/math_dataset |
b'Simplify o**(-7)/(o/o**(-2))*o**(-1/5)*o/(o/(o*o/(o/o**(-1)))) assuming o is positive.\n' | b'o**(-51/5)\n' | b'Simplify o**(-7)/(o/o**(-2))*o**(-1/5)*o/(o/(o*o/(o/o**(-1)))) assuming o is positive.\n' | b'o**(-51/5)\n' | deepmind/math_dataset |
b'What is prob of sequence ccc when three letters picked without replacement from {c: 7, e: 4}?\n' | b'7/33\n' | b'What is prob of sequence ccc when three letters picked without replacement from {c: 7, e: 4}?\n' | b'7/33\n' | deepmind/math_dataset |
b'Let o be 2/(-14) + 120/56. Suppose 4*n = 6*n + 4*b - 4, -o*n - 2*b = -8. Let z(s) be the first derivative of -s**3/3 + 4*s**2 - 7*s + 3. Give z(n).\n' | b'5\n' | b'Let o be 2/(-14) + 120/56. Suppose 4*n = 6*n + 4*b - 4, -o*n - 2*b = -8. Let z(s) be the first derivative of -s**3/3 + 4*s**2 - 7*s + 3. Give z(n).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -37*f - t = -41*f, -2*f = 2*t. Solve 4*z + d - 4*d - 10 = f, -4*z - 2*d = -20 for z.\n' | b'4\n' | b'Suppose -37*f - t = -41*f, -2*f = 2*t. Solve 4*z + d - 4*d - 10 = f, -4*z - 2*d = -20 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, b: 1, f: 1, e: 2, k: 2}. Give prob of picking 1 e and 1 k.\n' | b'4/21\n' | b'Two letters picked without replacement from {j: 1, b: 1, f: 1, e: 2, k: 2}. Give prob of picking 1 e and 1 k.\n' | b'4/21\n' | deepmind/math_dataset |
b'What is prob of sequence dg when two letters picked without replacement from {d: 4, o: 3, g: 2, h: 9}?\n' | b'4/153\n' | b'What is prob of sequence dg when two letters picked without replacement from {d: 4, o: 3, g: 2, h: 9}?\n' | b'4/153\n' | deepmind/math_dataset |
b'Simplify (g**(-7/5))**(5/8) assuming g is positive.\n' | b'g**(-7/8)\n' | b'Simplify (g**(-7/5))**(5/8) assuming g is positive.\n' | b'g**(-7/8)\n' | deepmind/math_dataset |
b'Let h(b) = b**3 - b**2 - 5. Suppose 2*v = f, f = 5*f + 5*v - 26. Suppose 5*y = f*y + 6*y. Calculate h(y).\n' | b'-5\n' | b'Let h(b) = b**3 - b**2 - 5. Suppose 2*v = f, f = 5*f + 5*v - 26. Suppose 5*y = f*y + 6*y. Calculate h(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Let r(p) be the third derivative of -p**6/120 - p**5/60 - p**4/24 + 2*p**2. What is r(-2)?\n' | b'6\n' | b'Let r(p) be the third derivative of -p**6/120 - p**5/60 - p**4/24 + 2*p**2. What is r(-2)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {b: 6, o: 13}.\n' | b'156/323\n' | b'Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {b: 6, o: 13}.\n' | b'156/323\n' | deepmind/math_dataset |
b'Let r = 11 + -7. Let k(d) = 3*d + 1. Let z(s) = 4*s + 2. Let l(f) = r*z(f) - 6*k(f). What is the derivative of l(t) wrt t?\n' | b'-2\n' | b'Let r = 11 + -7. Let k(d) = 3*d + 1. Let z(s) = 4*s + 2. Let l(f) = r*z(f) - 6*k(f). What is the derivative of l(t) wrt t?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((y*y**(5/2)*y*y)/y)/(y**(1/14)/y)*(y**(1/8))**12 assuming y is positive.\n' | b'y**(97/14)\n' | b'Simplify ((y*y**(5/2)*y*y)/y)/(y**(1/14)/y)*(y**(1/8))**12 assuming y is positive.\n' | b'y**(97/14)\n' | deepmind/math_dataset |
b'Let j(l) = -l**3 - 7 + 207867*l + 9*l**2 - 207851*l - 6. Calculate j(10).\n' | b'47\n' | b'Let j(l) = -l**3 - 7 + 207867*l + 9*l**2 - 207851*l - 6. Calculate j(10).\n' | b'47\n' | deepmind/math_dataset |
b'Let k(x) = x**3 - 7*x**2 - 9*x + 7. Let w(s) = -2*s**2 - 26*s + 36. Let h be w(-14). Give k(h).\n' | b'-1\n' | b'Let k(x) = x**3 - 7*x**2 - 9*x + 7. Let w(s) = -2*s**2 - 26*s + 36. Let h be w(-14). Give k(h).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -13*l - l = -14. Let g(v) = -v**2 - l + 10 - 90*v + 82*v. Determine g(-7).\n' | b'16\n' | b'Suppose -13*l - l = -14. Let g(v) = -v**2 - l + 10 - 90*v + 82*v. Determine g(-7).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify (((o*o/(o**(-2/19)*o))/o)**(1/41)/(o**4)**(-3/10))**46 assuming o is positive.\n' | b'o**(215464/3895)\n' | b'Simplify (((o*o/(o**(-2/19)*o))/o)**(1/41)/(o**4)**(-3/10))**46 assuming o is positive.\n' | b'o**(215464/3895)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yieyeypypxyeyey. Give prob of picking 1 p, 1 y, 1 e, and 1 i.\n' | b'8/195\n' | b'Four letters picked without replacement from yieyeypypxyeyey. Give prob of picking 1 p, 1 y, 1 e, and 1 i.\n' | b'8/195\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mwmwwsmwmwwmswwmw. What is prob of sequence ws?\n' | b'9/136\n' | b'Two letters picked without replacement from mwmwwsmwmwwmswwmw. What is prob of sequence ws?\n' | b'9/136\n' | deepmind/math_dataset |
b'Let u(d) be the first derivative of d**7/280 + d**5/40 + d**3 + 1. Let q(g) be the third derivative of u(g). What is the second derivative of q(n) wrt n?\n' | b'18*n\n' | b'Let u(d) be the first derivative of d**7/280 + d**5/40 + d**3 + 1. Let q(g) be the third derivative of u(g). What is the second derivative of q(n) wrt n?\n' | b'18*n\n' | deepmind/math_dataset |
b'What is prob of sequence vdrd when four letters picked without replacement from {j: 1, d: 9, v: 2, r: 6}?\n' | b'1/85\n' | b'What is prob of sequence vdrd when four letters picked without replacement from {j: 1, d: 9, v: 2, r: 6}?\n' | b'1/85\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkvvmbmmm. What is prob of picking 2 k, 1 b, and 1 v?\n' | b'1/35\n' | b'Four letters picked without replacement from kkkvvmbmmm. What is prob of picking 2 k, 1 b, and 1 v?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 2 u, and 1 x when four letters picked without replacement from {x: 2, u: 5, k: 6}?\n' | b'24/143\n' | b'What is prob of picking 1 k, 2 u, and 1 x when four letters picked without replacement from {x: 2, u: 5, k: 6}?\n' | b'24/143\n' | deepmind/math_dataset |
b'Differentiate 4652*h - 1725*h - 5711 + 1119*h + 3998*h with respect to h.\n' | b'8044\n' | b'Differentiate 4652*h - 1725*h - 5711 + 1119*h + 3998*h with respect to h.\n' | b'8044\n' | deepmind/math_dataset |
b'Let v(h) be the first derivative of 781*h**4/4 + 479*h**3/3 + 551. What is the third derivative of v(x) wrt x?\n' | b'4686\n' | b'Let v(h) be the first derivative of 781*h**4/4 + 479*h**3/3 + 551. What is the third derivative of v(x) wrt x?\n' | b'4686\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 w when two letters picked without replacement from {u: 1, w: 6, b: 1, p: 1}?\n' | b'1/6\n' | b'What is prob of picking 1 p and 1 w when two letters picked without replacement from {u: 1, w: 6, b: 1, p: 1}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaawawaaaawawaaawaa. Give prob of picking 1 w and 3 a.\n' | b'455/969\n' | b'Four letters picked without replacement from aaaawawaaaawawaaawaa. Give prob of picking 1 w and 3 a.\n' | b'455/969\n' | deepmind/math_dataset |
b'What is prob of picking 2 u, 1 g, and 1 b when four letters picked without replacement from lluulullbpplgb?\n' | b'6/1001\n' | b'What is prob of picking 2 u, 1 g, and 1 b when four letters picked without replacement from lluulullbpplgb?\n' | b'6/1001\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwwitwwww. Give prob of sequence tww.\n' | b'1/12\n' | b'Three letters picked without replacement from wwwitwwww. Give prob of sequence tww.\n' | b'1/12\n' | deepmind/math_dataset |
b'What is prob of sequence wgbi when four letters picked without replacement from {c: 1, i: 2, b: 1, k: 2, g: 1, w: 1}?\n' | b'1/840\n' | b'What is prob of sequence wgbi when four letters picked without replacement from {c: 1, i: 2, b: 1, k: 2, g: 1, w: 1}?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let q be 6/(-8) + ((-23375)/100)/(-85). Solve 4*m + 37 = i, -5*i - 168 = q*m - 177 for i.\n' | b'5\n' | b'Let q be 6/(-8) + ((-23375)/100)/(-85). Solve 4*m + 37 = i, -5*i - 168 = q*m - 177 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((b**(2/7))**(-30)/(b**(1/16)/(b/(b**(9/4)*b))))**38 assuming b is positive.\n' | b'b**(-23161/56)\n' | b'Simplify ((b**(2/7))**(-30)/(b**(1/16)/(b/(b**(9/4)*b))))**38 assuming b is positive.\n' | b'b**(-23161/56)\n' | deepmind/math_dataset |
b'Let x(y) = -y**3 + 3*y**2 + 10*y - 25. Let i(r) = -2*r**2 + 67*r - 349. Let z be i(27). Calculate x(z).\n' | b'-1\n' | b'Let x(y) = -y**3 + 3*y**2 + 10*y - 25. Let i(r) = -2*r**2 + 67*r - 349. Let z be i(27). Calculate x(z).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (z*z**(-8/5)*z**(2/73))/(z**(2/107))**37 assuming z is positive.\n' | b'z**(-49373/39055)\n' | b'Simplify (z*z**(-8/5)*z**(2/73))/(z**(2/107))**37 assuming z is positive.\n' | b'z**(-49373/39055)\n' | deepmind/math_dataset |
b'Let y(p) be the first derivative of -p**2 + 0*p**4 + 0*p**5 + 0*p**3 + 0*p - 1/3*p**6 - 3. What is the second derivative of y(d) wrt d?\n' | b'-40*d**3\n' | b'Let y(p) be the first derivative of -p**2 + 0*p**4 + 0*p**5 + 0*p**3 + 0*p - 1/3*p**6 - 3. What is the second derivative of y(d) wrt d?\n' | b'-40*d**3\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from wwwmmmmwhww?\n' | b'4/33\n' | b'What is prob of picking 3 w when three letters picked without replacement from wwwmmmmwhww?\n' | b'4/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence gxfx when four letters picked without replacement from dgddddfxxfddgdxfd.\n' | b'3/4760\n' | b'Calculate prob of sequence gxfx when four letters picked without replacement from dgddddfxxfddgdxfd.\n' | b'3/4760\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmtccccycwomwtw. Give prob of picking 2 c and 1 o.\n' | b'2/91\n' | b'Three letters picked without replacement from mmtccccycwomwtw. Give prob of picking 2 c and 1 o.\n' | b'2/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwffwwww. What is prob of picking 1 f and 1 w?\n' | b'3/7\n' | b'Two letters picked without replacement from wwffwwww. What is prob of picking 1 f and 1 w?\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify ((d/(d/d**4))/(d/(d**(-1/4)*d)))/(d*d*(d/d**1)/d)**(1/23)*(d**(-2/3))**(-4/7)/(d**(-2/5))**(-46) assuming d is positive.\n' | b'd**(-138259/9660)\n' | b'Simplify ((d/(d/d**4))/(d/(d**(-1/4)*d)))/(d*d*(d/d**1)/d)**(1/23)*(d**(-2/3))**(-4/7)/(d**(-2/5))**(-46) assuming d is positive.\n' | b'd**(-138259/9660)\n' | deepmind/math_dataset |
b'Simplify (w**(-3/7))**21 assuming w is positive.\n' | b'w**(-9)\n' | b'Simplify (w**(-3/7))**21 assuming w is positive.\n' | b'w**(-9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from epezpbbeppebbbpppbe. What is prob of sequence pze?\n' | b'35/5814\n' | b'Three letters picked without replacement from epezpbbeppebbbpppbe. What is prob of sequence pze?\n' | b'35/5814\n' | deepmind/math_dataset |
b'Simplify (l/(l*l/(l*(l**8/l)/l)))/(l*l**25) assuming l is positive.\n' | b'l**(-20)\n' | b'Simplify (l/(l*l/(l*(l**8/l)/l)))/(l*l**25) assuming l is positive.\n' | b'l**(-20)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ux when two letters picked without replacement from {q: 2, u: 8, x: 2}.\n' | b'4/33\n' | b'Calculate prob of sequence ux when two letters picked without replacement from {q: 2, u: 8, x: 2}.\n' | b'4/33\n' | deepmind/math_dataset |
b'Suppose -i = v - 11, 5*v = 3*v + 3*i + 17. Suppose w + 7 - v = 0. Solve -3 = -t - 1, -f - w = t for f.\n' | b'-5\n' | b'Suppose -i = v - 11, 5*v = 3*v + 3*i + 17. Suppose w + 7 - v = 0. Solve -3 = -t - 1, -f - w = t for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xzxmmxzx. Give prob of picking 2 m.\n' | b'1/28\n' | b'Two letters picked without replacement from xzxmmxzx. Give prob of picking 2 m.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (r/(r/(r/(r**0/r)))*(r/(r**7/r))/r)/(r**(-1)*r)**(-29/3) assuming r is positive.\n' | b'r**(-4)\n' | b'Simplify (r/(r/(r/(r**0/r)))*(r/(r**7/r))/r)/(r**(-1)*r)**(-29/3) assuming r is positive.\n' | b'r**(-4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 4, g: 5, n: 5}. Give prob of picking 2 n and 1 g.\n' | b'25/182\n' | b'Three letters picked without replacement from {v: 4, g: 5, n: 5}. Give prob of picking 2 n and 1 g.\n' | b'25/182\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ywyw. What is prob of picking 2 y?\n' | b'1/6\n' | b'Two letters picked without replacement from ywyw. What is prob of picking 2 y?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let w(s) = -2*s**3 - 10*s**2 + 6. Let q(c) = c**3 - 32*c**2 + 60*c - 4. Let d be q(30). What is w(d)?\n' | b'-26\n' | b'Let w(s) = -2*s**3 - 10*s**2 + 6. Let q(c) = c**3 - 32*c**2 + 60*c - 4. Let d be q(30). What is w(d)?\n' | b'-26\n' | deepmind/math_dataset |
b'Let z(p) be the second derivative of -1/30*p**6 + 0*p**2 + 1/4*p**4 + 0*p**5 + 4*p + 0*p**3 + 0. What is the third derivative of z(i) wrt i?\n' | b'-24*i\n' | b'Let z(p) be the second derivative of -1/30*p**6 + 0*p**2 + 1/4*p**4 + 0*p**5 + 4*p + 0*p**3 + 0. What is the third derivative of z(i) wrt i?\n' | b'-24*i\n' | deepmind/math_dataset |
b'Let q(s) = -3*s**2 + 7*s - s**2 - 6 + 3*s**2. Let i be 2 + 3 - (1 - (-1 - -3)). What is q(i)?\n' | b'0\n' | b'Let q(s) = -3*s**2 + 7*s - s**2 - 6 + 3*s**2. Let i be 2 + 3 - (1 - (-1 - -3)). What is q(i)?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h, 1 e, and 2 k when four letters picked without replacement from nnuhnhhhcennhukck.\n' | b'1/476\n' | b'Calculate prob of picking 1 h, 1 e, and 2 k when four letters picked without replacement from nnuhnhhhcennhukck.\n' | b'1/476\n' | deepmind/math_dataset |
b'Let g(n) = -n**3 - 3*n**2 + 4*n - 2. Suppose s = 3 + 2. Suppose s*t = -5*u - 30, -7*u + 2 = -3*t - 2*u. Calculate g(t).\n' | b'-2\n' | b'Let g(n) = -n**3 - 3*n**2 + 4*n - 2. Suppose s = 3 + 2. Suppose s*t = -5*u - 30, -7*u + 2 = -3*t - 2*u. Calculate g(t).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bmmmslbblpblclbmblpb. Give prob of picking 1 m, 1 b, and 1 l.\n' | b'7/57\n' | b'Three letters picked without replacement from bmmmslbblpblclbmblpb. Give prob of picking 1 m, 1 b, and 1 l.\n' | b'7/57\n' | deepmind/math_dataset |
b'Suppose 7*r = 13*r - 54. Let y(w) = w**3 - 2*w**2 - 16*w + 11. Let f be y(5). Suppose -f = 8*p - 30. Solve 0 = p*j + 2*j - o + 3, j = 5*o + r for j.\n' | b'-1\n' | b'Suppose 7*r = 13*r - 54. Let y(w) = w**3 - 2*w**2 - 16*w + 11. Let f be y(5). Suppose -f = 8*p - 30. Solve 0 = p*j + 2*j - o + 3, j = 5*o + r for j.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 6, c: 9, w: 2, b: 1, f: 1}?\n' | b'6/19\n' | b'What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 6, c: 9, w: 2, b: 1, f: 1}?\n' | b'6/19\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-13))/(y*y**(4/3)/y))**(1/2)*(y**(2/5))**(-31)/(y*y/(y**(-1/3)*y)*y*y*y*y/(y**(3/8)*y)) assuming y is positive.\n' | b'y**(-921/40)\n' | b'Simplify ((y*y**(-13))/(y*y**(4/3)/y))**(1/2)*(y**(2/5))**(-31)/(y*y/(y**(-1/3)*y)*y*y*y*y/(y**(3/8)*y)) assuming y is positive.\n' | b'y**(-921/40)\n' | deepmind/math_dataset |
b'Let q = 212 + -120. Let j = q + -85. Solve 4*z = 8*z + 3*d + 8, 3*z - d = j for z.\n' | b'1\n' | b'Let q = 212 + -120. Let j = q + -85. Solve 4*z = 8*z + 3*d + 8, 3*z - d = j for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let b(v) be the second derivative of 7/2*v**2 + 1/6*v**3 - v + 25. Give b(-11).\n' | b'-4\n' | b'Let b(v) be the second derivative of 7/2*v**2 + 1/6*v**3 - v + 25. Give b(-11).\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(h) be the first derivative of h**2/2 - 90. Suppose -3*b = -8*b + 10. Calculate w(b).\n' | b'2\n' | b'Let w(h) be the first derivative of h**2/2 - 90. Suppose -3*b = -8*b + 10. Calculate w(b).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence mvm when three letters picked without replacement from vmxxvmxmxxvm?\n' | b'3/110\n' | b'What is prob of sequence mvm when three letters picked without replacement from vmxxvmxmxxvm?\n' | b'3/110\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 9, y: 2, r: 7}. Give prob of sequence rcc.\n' | b'7/68\n' | b'Three letters picked without replacement from {c: 9, y: 2, r: 7}. Give prob of sequence rcc.\n' | b'7/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k when three letters picked without replacement from kkkkkwkwkwkkwkkwkkkk.\n' | b'91/228\n' | b'Calculate prob of picking 3 k when three letters picked without replacement from kkkkkwkwkwkkwkkwkkkk.\n' | b'91/228\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d and 2 a when four letters picked without replacement from rdrdrcrrardrrdrcad.\n' | b'1/306\n' | b'Calculate prob of picking 2 d and 2 a when four letters picked without replacement from rdrdrcrrardrrdrcad.\n' | b'1/306\n' | deepmind/math_dataset |
b'Simplify (u/(u/(u**8/u))*u**(2/49)/u)/(u**(-6/11))**13 assuming u is positive.\n' | b'u**(7078/539)\n' | b'Simplify (u/(u/(u**8/u))*u**(2/49)/u)/(u**(-6/11))**13 assuming u is positive.\n' | b'u**(7078/539)\n' | deepmind/math_dataset |
b'What is prob of sequence wf when two letters picked without replacement from {d: 1, w: 3, v: 2, f: 1}?\n' | b'1/14\n' | b'What is prob of sequence wf when two letters picked without replacement from {d: 1, w: 3, v: 2, f: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gllxhjzglllgx. What is prob of sequence lg?\n' | b'5/52\n' | b'Two letters picked without replacement from gllxhjzglllgx. What is prob of sequence lg?\n' | b'5/52\n' | deepmind/math_dataset |
b'Simplify (n**(1/2)*n*n*n**0*n*n)**(-7/12) assuming n is positive.\n' | b'n**(-21/8)\n' | b'Simplify (n**(1/2)*n*n*n**0*n*n)**(-7/12) assuming n is positive.\n' | b'n**(-21/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dditmxxz. Give prob of picking 1 m and 1 i.\n' | b'1/28\n' | b'Two letters picked without replacement from dditmxxz. Give prob of picking 1 m and 1 i.\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose 4*x - 8 = g - 2*g, x - 17 = -4*g. Let n(z) = g*z - 29 - z**2 + 2*z + 29. Determine n(5).\n' | b'5\n' | b'Suppose 4*x - 8 = g - 2*g, x - 17 = -4*g. Let n(z) = g*z - 29 - z**2 + 2*z + 29. Determine n(5).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 k when two letters picked without replacement from nkfnkuuuuffffkf.\n' | b'4/35\n' | b'Calculate prob of picking 1 u and 1 k when two letters picked without replacement from nkfnkuuuuffffkf.\n' | b'4/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbbb when four letters picked without replacement from bbbebbeb.\n' | b'3/14\n' | b'Calculate prob of sequence bbbb when four letters picked without replacement from bbbebbeb.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let b = -23 + 29. Let a(s) = -11*s + b*s + s + 1 + 2. Calculate a(4).\n' | b'-13\n' | b'Let b = -23 + 29. Let a(s) = -11*s + b*s + s + 1 + 2. Calculate a(4).\n' | b'-13\n' | deepmind/math_dataset |
b'Let f = -5 - -8. Suppose -p + f*r = -2*r - 15, 0 = 4*p - 2*r - 60. Let x be ((-24)/p)/(2/(-10)). Solve 3*y = -2*i - y, -5*i = 2*y - x for i.\n' | b'2\n' | b'Let f = -5 - -8. Suppose -p + f*r = -2*r - 15, 0 = 4*p - 2*r - 60. Let x be ((-24)/p)/(2/(-10)). Solve 3*y = -2*i - y, -5*i = 2*y - x for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let a(s) be the first derivative of 1/3*s**3 + 57 + 0*s - 1/2*s**2 - s**4. Let p = 2 - 1. Determine a(p).\n' | b'-4\n' | b'Let a(s) be the first derivative of 1/3*s**3 + 57 + 0*s - 1/2*s**2 - s**4. Let p = 2 - 1. Determine a(p).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (u**(-8/5)*u/(u/((u/u**(-5))/u*u)))**(-16) assuming u is positive.\n' | b'u**(-352/5)\n' | b'Simplify (u**(-8/5)*u/(u/((u/u**(-5))/u*u)))**(-16) assuming u is positive.\n' | b'u**(-352/5)\n' | deepmind/math_dataset |
b'Suppose 2*u + 6 = 10. Suppose 2*x = -5*m + 1151, 5*x - 1738 = u*x + 4*m. What is the first derivative of -25 - 9*n**2 - 578*n - 28*n**2 + x*n wrt n?\n' | b'-74*n\n' | b'Suppose 2*u + 6 = 10. Suppose 2*x = -5*m + 1151, 5*x - 1738 = u*x + 4*m. What is the first derivative of -25 - 9*n**2 - 578*n - 28*n**2 + x*n wrt n?\n' | b'-74*n\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmeg. Give prob of sequence egmm.\n' | b'1/12\n' | b'Four letters picked without replacement from mmeg. Give prob of sequence egmm.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let z(k) be the second derivative of 2*k**3/3 - 33*k**2/2 - 52*k - 3. Calculate z(11).\n' | b'11\n' | b'Let z(k) be the second derivative of 2*k**3/3 - 33*k**2/2 - 52*k - 3. Calculate z(11).\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of sequence pz when two letters picked without replacement from {z: 4, p: 4, b: 2, v: 2}?\n' | b'4/33\n' | b'What is prob of sequence pz when two letters picked without replacement from {z: 4, p: 4, b: 2, v: 2}?\n' | b'4/33\n' | deepmind/math_dataset |
b'Let r = -165 + 167. Let m = 13 + -9. What is the derivative of r - 2*b - 8 + 3*b + m*b wrt b?\n' | b'5\n' | b'Let r = -165 + 167. Let m = 13 + -9. What is the derivative of r - 2*b - 8 + 3*b + m*b wrt b?\n' | b'5\n' | deepmind/math_dataset |
b'Let u = 20 - 15. Suppose j - 6*w + w + 86 = 0, u*j = w - 358. Let d = 73 + j. Solve -2*p = 5*b + 26, -d*p + 4*p - 2 = 2*b for b.\n' | b'-4\n' | b'Let u = 20 - 15. Suppose j - 6*w + w + 86 = 0, u*j = w - 358. Let d = 73 + j. Solve -2*p = 5*b + 26, -d*p + 4*p - 2 = 2*b for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j be (((-4410)/28)/(-35))/(3/4). Let l(x) = -x**3 + 5*x**2 + 5*x + 12. Give l(j).\n' | b'6\n' | b'Let j be (((-4410)/28)/(-35))/(3/4). Let l(x) = -x**3 + 5*x**2 + 5*x + 12. Give l(j).\n' | b'6\n' | deepmind/math_dataset |
b'Let c(w) be the second derivative of -w**3/3 - 7*w**2/2 - w. Suppose 4*x = 9*x + 25. Determine c(x).\n' | b'3\n' | b'Let c(w) be the second derivative of -w**3/3 - 7*w**2/2 - w. Suppose 4*x = 9*x + 25. Determine c(x).\n' | b'3\n' | deepmind/math_dataset |
b'Let a(k) be the second derivative of 20*k**3/3 - 77*k**2/2 - 14*k + 2. Let g be a(2). Solve 2*s - g*u - 4 = 0, 4*s + 16 = -s + u for s.\n' | b'-4\n' | b'Let a(k) be the second derivative of 20*k**3/3 - 77*k**2/2 - 14*k + 2. Let g be a(2). Solve 2*s - g*u - 4 = 0, 4*s + 16 = -s + u for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(o) be the third derivative of 361*o**4/24 + 63*o**3 - 345*o**2. Differentiate b(j) wrt j.\n' | b'361\n' | b'Let b(o) be the third derivative of 361*o**4/24 + 63*o**3 - 345*o**2. Differentiate b(j) wrt j.\n' | b'361\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 6, f: 2}. What is prob of sequence oof?\n' | b'5/28\n' | b'Three letters picked without replacement from {o: 6, f: 2}. What is prob of sequence oof?\n' | b'5/28\n' | deepmind/math_dataset |
b'Simplify (a*a**(-2)*a)**34/(a**3/((a/(a**(-2/21)*a*a))/a)) assuming a is positive.\n' | b'a**(-103/21)\n' | b'Simplify (a*a**(-2)*a)**34/(a**3/((a/(a**(-2/21)*a*a))/a)) assuming a is positive.\n' | b'a**(-103/21)\n' | deepmind/math_dataset |
b'Suppose -2*j - 2*j + 20 = 0. Solve -j*x + 4 - 9 = 0, x = 5*q + 14 for q.\n' | b'-3\n' | b'Suppose -2*j - 2*j + 20 = 0. Solve -j*x + 4 - 9 = 0, x = 5*q + 14 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxxoxxxuxuxuxxx. What is prob of sequence uo?\n' | b'1/80\n' | b'Two letters picked without replacement from xxxxoxxxuxuxuxxx. What is prob of sequence uo?\n' | b'1/80\n' | deepmind/math_dataset |
b'Simplify (z/(z**8*z)*(z*z/(z*z/((z*z*z/(z*z**(-2/13)))/z)))/z*z**(-2)*z*(z*(z**3/z)/z*z)/z)/(z**(1/13)*z*z*z**2/z)**(2/55) assuming z is positive.\n' | b'z**(-995/143)\n' | b'Simplify (z/(z**8*z)*(z*z/(z*z/((z*z*z/(z*z**(-2/13)))/z)))/z*z**(-2)*z*(z*(z**3/z)/z*z)/z)/(z**(1/13)*z*z*z**2/z)**(2/55) assuming z is positive.\n' | b'z**(-995/143)\n' | deepmind/math_dataset |
b'Let f = 2 - -6. Let g = f - 3. Solve -5*i - 4*p - 8 = 22, -g*i + 5 = -3*p for i.\n' | b'-2\n' | b'Let f = 2 - -6. Let g = f - 3. Solve -5*i - 4*p - 8 = 22, -g*i + 5 = -3*p for i.\n' | b'-2\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.