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'Simplify m**22*m*m*m**(9/8)*m*m*m assuming m is positive.\n' | b'm**(225/8)\n' | b'Simplify m**22*m*m*m**(9/8)*m*m*m assuming m is positive.\n' | b'm**(225/8)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, v: 11, g: 1}. What is prob of picking 2 v and 1 e?\n' | b'33/91\n' | b'Three letters picked without replacement from {e: 3, v: 11, g: 1}. What is prob of picking 2 v and 1 e?\n' | b'33/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pnhmwnhphpb. What is prob of sequence phmw?\n' | b'1/880\n' | b'Four letters picked without replacement from pnhmwnhphpb. What is prob of sequence phmw?\n' | b'1/880\n' | deepmind/math_dataset |
b'What is prob of picking 2 o when two letters picked without replacement from aaaaaoaxaooayayaoxao?\n' | b'1/19\n' | b'What is prob of picking 2 o when two letters picked without replacement from aaaaaoaxaooayayaoxao?\n' | b'1/19\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kokkiooi. What is prob of sequence io?\n' | b'3/28\n' | b'Two letters picked without replacement from kokkiooi. What is prob of sequence io?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let h = -35 - -25. Let l = h - -14. What is the third derivative of -10*r**2 - l*r**4 - 7*r**4 + 0*r**2 + 12*r**4 wrt r?\n' | b'24*r\n' | b'Let h = -35 - -25. Let l = h - -14. What is the third derivative of -10*r**2 - l*r**4 - 7*r**4 + 0*r**2 + 12*r**4 wrt r?\n' | b'24*r\n' | deepmind/math_dataset |
b'Let n(c) = c**3 + 4*c**2 + c + 9. Suppose -3*b = 2*b + 20. Let o be n(b). Solve 0*y + 4 = o*y + v, -5*y + 4*v = -9 for y.\n' | b'1\n' | b'Let n(c) = c**3 + 4*c**2 + c + 9. Suppose -3*b = 2*b + 20. Let o be n(b). Solve 0*y + 4 = o*y + v, -5*y + 4*v = -9 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -52*b + 53*b - 12 = 0. Suppose -5 = 7*h - b*h. Solve -5*v = 4*m + 28, 5*m - 11 = 5*v - h for v.\n' | b'-4\n' | b'Suppose -52*b + 53*b - 12 = 0. Suppose -5 = 7*h - b*h. Solve -5*v = 4*m + 28, 5*m - 11 = 5*v - h for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let k(j) = -j**3 + 7*j**2 - 10*j + 5. Suppose -4*b + a + 24 = 0, -8*a = 2*b - 4*a + 6. Let m be k(b). Solve -3*s - 18 = 3*g, 0 = -s + 5*s + m*g + 26 for s.\n' | b'-4\n' | b'Let k(j) = -j**3 + 7*j**2 - 10*j + 5. Suppose -4*b + a + 24 = 0, -8*a = 2*b - 4*a + 6. Let m be k(b). Solve -3*s - 18 = 3*g, 0 = -s + 5*s + m*g + 26 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 4, l: 4, v: 7, g: 1, j: 1, n: 3}. Give prob of picking 2 a and 1 n.\n' | b'3/190\n' | b'Three letters picked without replacement from {a: 4, l: 4, v: 7, g: 1, j: 1, n: 3}. Give prob of picking 2 a and 1 n.\n' | b'3/190\n' | deepmind/math_dataset |
b'Suppose 2*x + 5 = -b - 0*b, 3*x - 4*b = 20. Solve 3*q = 4*t + 8, 7*t - 3*t - 5*q + 8 = x for t.\n' | b'-2\n' | b'Suppose 2*x + 5 = -b - 0*b, 3*x - 4*b = 20. Solve 3*q = 4*t + 8, 7*t - 3*t - 5*q + 8 = x for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h be 2/5 + (-16)/(-10). Let l = -17 + 24. Solve -3*v = -0*j + h*j - l, 3*j - 5*v = 1 for j.\n' | b'2\n' | b'Let h be 2/5 + (-16)/(-10). Let l = -17 + 24. Solve -3*v = -0*j + h*j - l, 3*j - 5*v = 1 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let q = 101 + -98. Let i(o) = -o**3 + 4*o**2 - 3*o + 2. Let l be i(q). What is the second derivative of -1065*r + 1029*r - 4*r**l - 34*r**2 wrt r?\n' | b'-76\n' | b'Let q = 101 + -98. Let i(o) = -o**3 + 4*o**2 - 3*o + 2. Let l be i(q). What is the second derivative of -1065*r + 1029*r - 4*r**l - 34*r**2 wrt r?\n' | b'-76\n' | deepmind/math_dataset |
b'Let j(k) be the second derivative of -5*k + 0*k**6 + 0*k**3 + 7/6*k**7 + 0*k**5 - 5 + 1/2*k**2 - 1/4*k**4. Find the third derivative of j(a) wrt a.\n' | b'2940*a**2\n' | b'Let j(k) be the second derivative of -5*k + 0*k**6 + 0*k**3 + 7/6*k**7 + 0*k**5 - 5 + 1/2*k**2 - 1/4*k**4. Find the third derivative of j(a) wrt a.\n' | b'2940*a**2\n' | deepmind/math_dataset |
b'Let d(x) be the third derivative of -17*x**9/504 - 17*x**5/30 + 31*x**2. Find the third derivative of d(i) wrt i.\n' | b'-2040*i**3\n' | b'Let d(x) be the third derivative of -17*x**9/504 - 17*x**5/30 + 31*x**2. Find the third derivative of d(i) wrt i.\n' | b'-2040*i**3\n' | deepmind/math_dataset |
b'Let f(x) be the first derivative of x**3/6 + x**2/2 + 2*x + 3. Let z(l) be the first derivative of f(l). Calculate z(0).\n' | b'1\n' | b'Let f(x) be the first derivative of x**3/6 + x**2/2 + 2*x + 3. Let z(l) be the first derivative of f(l). Calculate z(0).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ndkk when four letters picked without replacement from knkdkndkdkdddnddn?\n' | b'4/357\n' | b'What is prob of sequence ndkk when four letters picked without replacement from knkdkndkdkdddnddn?\n' | b'4/357\n' | deepmind/math_dataset |
b'Let a(c) = -2*c + 0*c**2 - 4*c**2 + 2*c**2 + 2. What is a(-2)?\n' | b'-2\n' | b'Let a(c) = -2*c + 0*c**2 - 4*c**2 + 2*c**2 + 2. What is a(-2)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(n) be the third derivative of n**8/112 - n**6/10 - n**5/6 - 2*n**2 + 53*n. Find the third derivative of j(g) wrt g.\n' | b'180*g**2 - 72\n' | b'Let j(n) be the third derivative of n**8/112 - n**6/10 - n**5/6 - 2*n**2 + 53*n. Find the third derivative of j(g) wrt g.\n' | b'180*g**2 - 72\n' | deepmind/math_dataset |
b'Let p be (8/(-14))/(23/161). Let h(x) be the second derivative of 2*x**2 + 0 - 1/3*x**4 - 1/20*x**5 - 2*x + 1/3*x**3. Give h(p).\n' | b'-4\n' | b'Let p be (8/(-14))/(23/161). Let h(x) be the second derivative of 2*x**2 + 0 - 1/3*x**4 - 1/20*x**5 - 2*x + 1/3*x**3. Give h(p).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, e: 2, t: 2, y: 1, u: 2, a: 1}. What is prob of picking 1 y and 1 s?\n' | b'1/36\n' | b'Two letters picked without replacement from {s: 1, e: 2, t: 2, y: 1, u: 2, a: 1}. What is prob of picking 1 y and 1 s?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify n*(n*(n/n**2)/n)/n*n/(n**3*n)*((n**(2/3)*n)/n*n)**(36/7)*(n**(-1/4))**(12/7)/(n/n**(-1/4))**20 assuming n is positive.\n' | b'n**(-146/7)\n' | b'Simplify n*(n*(n/n**2)/n)/n*n/(n**3*n)*((n**(2/3)*n)/n*n)**(36/7)*(n**(-1/4))**(12/7)/(n/n**(-1/4))**20 assuming n is positive.\n' | b'n**(-146/7)\n' | deepmind/math_dataset |
b'Let w = -5 - -8. Let c(r) = 1 + r**2 - 2*r - 3*r - 4*r + 2*r. Calculate c(w).\n' | b'-11\n' | b'Let w = -5 - -8. Let c(r) = 1 + r**2 - 2*r - 3*r - 4*r + 2*r. Calculate c(w).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify k/k**(-7)*k**(-2/7)/k*k*(k**5)**(-1/9) assuming k is positive.\n' | b'k**(451/63)\n' | b'Simplify k/k**(-7)*k**(-2/7)/k*k*(k**5)**(-1/9) assuming k is positive.\n' | b'k**(451/63)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 11, n: 5}. What is prob of sequence uu?\n' | b'11/24\n' | b'Two letters picked without replacement from {u: 11, n: 5}. What is prob of sequence uu?\n' | b'11/24\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, n: 2, o: 2}?\n' | b'1/5\n' | b'What is prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, n: 2, o: 2}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let g(z) = -z. Let q be g(-2). Suppose -5*w + 200 = 4*f, w + 155 = 3*f + 6*w. Suppose -h = 2*h - 5*i - f, 2*i = 0. Solve -2*p + 5*r = h, -r = q*r - 9 for p.\n' | b'0\n' | b'Let g(z) = -z. Let q be g(-2). Suppose -5*w + 200 = 4*f, w + 155 = 3*f + 6*w. Suppose -h = 2*h - 5*i - f, 2*i = 0. Solve -2*p + 5*r = h, -r = q*r - 9 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let o(g) = g**2 + g - 2. Let s be o(-2). Let u(d) be the first derivative of -1/2*d**2 + 0*d + s*d**3 - 2 - 1/4*d**4. Find the second derivative of u(b) wrt b.\n' | b'-6*b\n' | b'Let o(g) = g**2 + g - 2. Let s be o(-2). Let u(d) be the first derivative of -1/2*d**2 + 0*d + s*d**3 - 2 - 1/4*d**4. Find the second derivative of u(b) wrt b.\n' | b'-6*b\n' | deepmind/math_dataset |
b'Let v(z) be the second derivative of 0*z**5 + 1/30*z**6 + 0*z**2 - z**3 + 3*z + 0*z**4 + 0. Find the second derivative of v(c) wrt c.\n' | b'12*c**2\n' | b'Let v(z) be the second derivative of 0*z**5 + 1/30*z**6 + 0*z**2 - z**3 + 3*z + 0*z**4 + 0. Find the second derivative of v(c) wrt c.\n' | b'12*c**2\n' | deepmind/math_dataset |
b'Let o(c) = 3*c - 9*c + 3*c + 4*c + 1. Let d(l) = -38*l**3 + 12*l**2 - 10*l - 10. Let a(f) = d(f) + 10*o(f). What is the third derivative of a(y) wrt y?\n' | b'-228\n' | b'Let o(c) = 3*c - 9*c + 3*c + 4*c + 1. Let d(l) = -38*l**3 + 12*l**2 - 10*l - 10. Let a(f) = d(f) + 10*o(f). What is the third derivative of a(y) wrt y?\n' | b'-228\n' | deepmind/math_dataset |
b'Suppose 8*k - 2124 = -4*k. Let f = k + -122. Let j = -51 + f. Solve 16 = 5*t + 4*o, 0 = j*t - 3*o + 12 - 31 for t.\n' | b'4\n' | b'Suppose 8*k - 2124 = -4*k. Let f = k + -122. Let j = -51 + f. Solve 16 = 5*t + 4*o, 0 = j*t - 3*o + 12 - 31 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let f be (-13)/2*(640/(-52) + 12). What is the second derivative of 5*r**5 + 12806*r**f - r**5 - 30*r - 1 - 12798*r**2 wrt r?\n' | b'80*r**3 + 16\n' | b'Let f be (-13)/2*(640/(-52) + 12). What is the second derivative of 5*r**5 + 12806*r**f - r**5 - 30*r - 1 - 12798*r**2 wrt r?\n' | b'80*r**3 + 16\n' | deepmind/math_dataset |
b'Let s(r) = -r**2 - r + 5. Suppose -3*k = -10*k - 6*k. What is s(k)?\n' | b'5\n' | b'Let s(r) = -r**2 - r + 5. Suppose -3*k = -10*k - 6*k. What is s(k)?\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, l: 2, m: 2, i: 1, x: 1}. Give prob of sequence xm.\n' | b'1/21\n' | b'Two letters picked without replacement from {y: 1, l: 2, m: 2, i: 1, x: 1}. Give prob of sequence xm.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence jaj when three letters picked without replacement from aaajajj.\n' | b'4/35\n' | b'Calculate prob of sequence jaj when three letters picked without replacement from aaajajj.\n' | b'4/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 3 h when four letters picked without replacement from ninhithhnnhnnnntin?\n' | b'2/765\n' | b'What is prob of picking 1 t and 3 h when four letters picked without replacement from ninhithhnnhnnnntin?\n' | b'2/765\n' | deepmind/math_dataset |
b'Suppose -4*m - 3*y + 119 = 0, 2*m + y + 0*y - 59 = 0. Find the second derivative of -m*z + 3*z**4 - 7*z - 57*z + 15*z**3 - 12*z + z**4 wrt z.\n' | b'48*z**2 + 90*z\n' | b'Suppose -4*m - 3*y + 119 = 0, 2*m + y + 0*y - 59 = 0. Find the second derivative of -m*z + 3*z**4 - 7*z - 57*z + 15*z**3 - 12*z + z**4 wrt z.\n' | b'48*z**2 + 90*z\n' | deepmind/math_dataset |
b'Calculate prob of sequence kcp when three letters picked without replacement from {y: 1, c: 3, q: 6, n: 5, k: 1, p: 4}.\n' | b'1/570\n' | b'Calculate prob of sequence kcp when three letters picked without replacement from {y: 1, c: 3, q: 6, n: 5, k: 1, p: 4}.\n' | b'1/570\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 1 o, and 1 f when three letters picked without replacement from bboobbbbfwfbbbwwbwof?\n' | b'3/95\n' | b'What is prob of picking 1 w, 1 o, and 1 f when three letters picked without replacement from bboobbbbfwfbbbwwbwof?\n' | b'3/95\n' | deepmind/math_dataset |
b'Let v(z) = 3*z**2 + 2 + 0 + 51*z - 49*z. Determine v(-2).\n' | b'10\n' | b'Let v(z) = 3*z**2 + 2 + 0 + 51*z - 49*z. Determine v(-2).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (x*(x/((x/((x*x/(x*x*x**(3/5))*x*x)/x*x))/x*x))/x)**(-13)*(x/(x/(((x**(1/2)*x)/x)/x))*x)/x**(-2/23) assuming x is positive.\n' | b'x**(-4051/230)\n' | b'Simplify (x*(x/((x/((x*x/(x*x*x**(3/5))*x*x)/x*x))/x*x))/x)**(-13)*(x/(x/(((x**(1/2)*x)/x)/x))*x)/x**(-2/23) assuming x is positive.\n' | b'x**(-4051/230)\n' | deepmind/math_dataset |
b'Differentiate 655*r - 697*r - 304 - 999*r - 2069*r - 440*r with respect to r.\n' | b'-3550\n' | b'Differentiate 655*r - 697*r - 304 - 999*r - 2069*r - 440*r with respect to r.\n' | b'-3550\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 k when four letters picked without replacement from {k: 7}.\n' | b'1\n' | b'Calculate prob of picking 4 k when four letters picked without replacement from {k: 7}.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 3, c: 5, r: 1, d: 7, e: 3}. Give prob of picking 2 d.\n' | b'7/57\n' | b'Two letters picked without replacement from {f: 3, c: 5, r: 1, d: 7, e: 3}. Give prob of picking 2 d.\n' | b'7/57\n' | deepmind/math_dataset |
b'What is prob of sequence vss when three letters picked without replacement from {s: 2, v: 2}?\n' | b'1/6\n' | b'What is prob of sequence vss when three letters picked without replacement from {s: 2, v: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, y: 4, t: 3, n: 1, s: 1, x: 1}. What is prob of picking 1 x and 2 z?\n' | b'1/220\n' | b'Three letters picked without replacement from {z: 2, y: 4, t: 3, n: 1, s: 1, x: 1}. What is prob of picking 1 x and 2 z?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let b(w) = 46 + 15 - 10602*w - 10589*w + 21181*w. Determine b(8).\n' | b'-19\n' | b'Let b(w) = 46 + 15 - 10602*w - 10589*w + 21181*w. Determine b(8).\n' | b'-19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 4, t: 2, m: 3, g: 1}. Give prob of picking 1 m, 1 u, and 1 g.\n' | b'1/10\n' | b'Three letters picked without replacement from {u: 4, t: 2, m: 3, g: 1}. Give prob of picking 1 m, 1 u, and 1 g.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 4, z: 1, y: 2}. What is prob of picking 1 n and 2 y?\n' | b'4/35\n' | b'Three letters picked without replacement from {n: 4, z: 1, y: 2}. What is prob of picking 1 n and 2 y?\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 10}. Give prob of picking 2 c.\n' | b'1\n' | b'Two letters picked without replacement from {c: 10}. Give prob of picking 2 c.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -s - 1 = -2, d + 1 = 4*s. Let y be (-14 - 30)/11 - -16. Suppose -19 = -5*b - 4. Solve -w = -d*w + b*a - 4, 4*w + 4*a = y for w.\n' | b'1\n' | b'Suppose -s - 1 = -2, d + 1 = 4*s. Let y be (-14 - 30)/11 - -16. Suppose -19 = -5*b - 4. Solve -w = -d*w + b*a - 4, 4*w + 4*a = y for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(x) be the second derivative of 0*x**5 + 0*x**2 + 0*x**6 + 0 - 29*x + 1/4*x**4 + 0*x**3 + 5/7*x**7. Find the third derivative of g(i) wrt i.\n' | b'1800*i**2\n' | b'Let g(x) be the second derivative of 0*x**5 + 0*x**2 + 0*x**6 + 0 - 29*x + 1/4*x**4 + 0*x**3 + 5/7*x**7. Find the third derivative of g(i) wrt i.\n' | b'1800*i**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 4, x: 1, q: 1, z: 2, f: 1}. Give prob of picking 1 q and 1 z.\n' | b'1/18\n' | b'Two letters picked without replacement from {p: 4, x: 1, q: 1, z: 2, f: 1}. Give prob of picking 1 q and 1 z.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (p/(p*p*p**(-8))*p**(6/7))/(p**(-1))**(2/107) assuming p is positive.\n' | b'p**(5899/749)\n' | b'Simplify (p/(p*p*p**(-8))*p**(6/7))/(p**(-1))**(2/107) assuming p is positive.\n' | b'p**(5899/749)\n' | deepmind/math_dataset |
b'Simplify (f**(7/5)/f**(-11))**31 assuming f is positive.\n' | b'f**(1922/5)\n' | b'Simplify (f**(7/5)/f**(-11))**31 assuming f is positive.\n' | b'f**(1922/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lmamql. Give prob of sequence mal.\n' | b'1/30\n' | b'Three letters picked without replacement from lmamql. Give prob of sequence mal.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 b when three letters picked without replacement from abababatwmbbtmaa.\n' | b'1/56\n' | b'Calculate prob of picking 3 b when three letters picked without replacement from abababatwmbbtmaa.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let r(x) = x**3 - 9*x**2 + x - 12. Let n be r(9). Let v(l) = -2*l - 2. Determine v(n).\n' | b'4\n' | b'Let r(x) = x**3 - 9*x**2 + x - 12. Let n be r(9). Let v(l) = -2*l - 2. Determine v(n).\n' | b'4\n' | deepmind/math_dataset |
b'Let l(z) = -1. Let v(m) = 3*m - 6. Let k(x) = 2*l(x) + v(x). Let c(w) = 2 - 2*w + 8 - 1. Let o(s) = 4*c(s) + 5*k(s). What is the derivative of o(y) wrt y?\n' | b'7\n' | b'Let l(z) = -1. Let v(m) = 3*m - 6. Let k(x) = 2*l(x) + v(x). Let c(w) = 2 - 2*w + 8 - 1. Let o(s) = 4*c(s) + 5*k(s). What is the derivative of o(y) wrt y?\n' | b'7\n' | deepmind/math_dataset |
b'Let i(c) = c + 15. Let u be i(-15). Solve u*m + 2*p - 9 = m, 2*p - 8 = 2*m for m.\n' | b'1\n' | b'Let i(c) = c + 15. Let u be i(-15). Solve u*m + 2*p - 9 = m, 2*p - 8 = 2*m for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(m) = m**3 + 2*m**2 - 11*m - 11. Let o(y) = y**2 - y - 1. Let i(k) = -5*o(k) + s(k). Determine i(4).\n' | b'-14\n' | b'Let s(m) = m**3 + 2*m**2 - 11*m - 11. Let o(y) = y**2 - y - 1. Let i(k) = -5*o(k) + s(k). Determine i(4).\n' | b'-14\n' | deepmind/math_dataset |
b'Let u(p) = -p**3 - p**2 + 4. Let k be u(0). Let n(b) = 1 - b - k + 4. Let z(g) = -g**3 + 9*g**2 - 9*g + 6. Let o be z(8). Give n(o).\n' | b'3\n' | b'Let u(p) = -p**3 - p**2 + 4. Let k be u(0). Let n(b) = 1 - b - k + 4. Let z(g) = -g**3 + 9*g**2 - 9*g + 6. Let o be z(8). Give n(o).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 3}. Give prob of picking 2 j.\n' | b'1\n' | b'Two letters picked without replacement from {j: 3}. Give prob of picking 2 j.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n when two letters picked without replacement from nafgnnagggnga.\n' | b'1/13\n' | b'Calculate prob of picking 2 n when two letters picked without replacement from nafgnnagggnga.\n' | b'1/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqonlqyqyqoponqpooon. Give prob of sequence plq.\n' | b'1/570\n' | b'Three letters picked without replacement from qqonlqyqyqoponqpooon. Give prob of sequence plq.\n' | b'1/570\n' | deepmind/math_dataset |
b'Simplify (((m**3*m)/m*m)/(m**6*m))/((m*m**(-3/5))/(m/(m*m**(-5)))) assuming m is positive.\n' | b'm**(8/5)\n' | b'Simplify (((m**3*m)/m*m)/(m**6*m))/((m*m**(-3/5))/(m/(m*m**(-5)))) assuming m is positive.\n' | b'm**(8/5)\n' | deepmind/math_dataset |
b'Differentiate 209*c**4 + 88*c**4 + 229 - 154 + 201 wrt c.\n' | b'1188*c**3\n' | b'Differentiate 209*c**4 + 88*c**4 + 229 - 154 + 201 wrt c.\n' | b'1188*c**3\n' | deepmind/math_dataset |
b'Let l(m) = -25 + 8 - m + 7 + 1 + 7. Let o = -3 + 11. Suppose h + 4*h + 5*a = 20, 2*h - o = -a. Give l(h).\n' | b'-6\n' | b'Let l(m) = -25 + 8 - m + 7 + 1 + 7. Let o = -3 + 11. Suppose h + 4*h + 5*a = 20, 2*h - o = -a. Give l(h).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (o**1*o**(5/7))**(20/11) assuming o is positive.\n' | b'o**(240/77)\n' | b'Simplify (o**1*o**(5/7))**(20/11) assuming o is positive.\n' | b'o**(240/77)\n' | deepmind/math_dataset |
b'Simplify n**10/n*n/n**(-4)*n*n*((n*n**(1/13)*n)/n)/n*n**(-2/17)*n assuming n is positive.\n' | b'n**(3748/221)\n' | b'Simplify n**10/n*n/n**(-4)*n*n*((n*n**(1/13)*n)/n)/n*n**(-2/17)*n assuming n is positive.\n' | b'n**(3748/221)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aiiiaiai. Give prob of picking 1 i and 3 a.\n' | b'1/14\n' | b'Four letters picked without replacement from aiiiaiai. Give prob of picking 1 i and 3 a.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let o(f) = -1780*f**3 + 131*f**2 + 5*f + 20. Let x(r) = -889*r**3 + 66*r**2 + 3*r + 12. Let t(n) = -3*o(n) + 5*x(n). What is the third derivative of t(h) wrt h?\n' | b'5370\n' | b'Let o(f) = -1780*f**3 + 131*f**2 + 5*f + 20. Let x(r) = -889*r**3 + 66*r**2 + 3*r + 12. Let t(n) = -3*o(n) + 5*x(n). What is the third derivative of t(h) wrt h?\n' | b'5370\n' | deepmind/math_dataset |
b'Let h(r) be the second derivative of r**6/30 - r**3/3 + 2*r**2 - 2*r. Let m(w) be the first derivative of h(w). Differentiate m(o) with respect to o.\n' | b'12*o**2\n' | b'Let h(r) be the second derivative of r**6/30 - r**3/3 + 2*r**2 - 2*r. Let m(w) be the first derivative of h(w). Differentiate m(o) with respect to o.\n' | b'12*o**2\n' | deepmind/math_dataset |
b'Suppose -4*s = -h + 5, -4*s = h + 2*h + 17. Let a = 6 + h. Suppose 3*n = -n + a*o + 49, -o = -2*n + 23. Solve 2*k + 4*f - n = 0, 0*k - 2*f = 3*k - 7 for k.\n' | b'1\n' | b'Suppose -4*s = -h + 5, -4*s = h + 2*h + 17. Let a = 6 + h. Suppose 3*n = -n + a*o + 49, -o = -2*n + 23. Solve 2*k + 4*f - n = 0, 0*k - 2*f = 3*k - 7 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((a**(-2/9)*a)/(a*a**(-5)))**(4/5) assuming a is positive.\n' | b'a**(172/45)\n' | b'Simplify ((a**(-2/9)*a)/(a*a**(-5)))**(4/5) assuming a is positive.\n' | b'a**(172/45)\n' | deepmind/math_dataset |
b'Let b be 0 + -1 + (0 - (3 + -4)). Let y(r) be the first derivative of -3 - r + 0*r**3 - 3/5*r**5 + b*r**2 + 0*r**4. Differentiate y(z) wrt z.\n' | b'-12*z**3\n' | b'Let b be 0 + -1 + (0 - (3 + -4)). Let y(r) be the first derivative of -3 - r + 0*r**3 - 3/5*r**5 + b*r**2 + 0*r**4. Differentiate y(z) wrt z.\n' | b'-12*z**3\n' | deepmind/math_dataset |
b'Let c(r) = -r**2 - 6*r - 1. Let g be c(-4). Let m(s) = 48 - 40 - g*s + 0*s**2 + s**2. Determine m(6).\n' | b'2\n' | b'Let c(r) = -r**2 - 6*r - 1. Let g be c(-4). Let m(s) = 48 - 40 - g*s + 0*s**2 + s**2. Determine m(6).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from seiee. Give prob of sequence eies.\n' | b'1/20\n' | b'Four letters picked without replacement from seiee. Give prob of sequence eies.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let z be 11/((-33)/(-30)) + 3/(-1). Solve -4*l = v - 6*v + z, 2*v = 4*l - 2 for v.\n' | b'3\n' | b'Let z be 11/((-33)/(-30)) + 3/(-1). Solve -4*l = v - 6*v + z, 2*v = 4*l - 2 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let o be -1 - 2 - 9/3. Let i be 3/2*(0 - -2). Let y(z) = -3*z**2 - 4*z + 7. Let c(s) = 4*s**2 + 4*s - 8. Let m(u) = i*y(u) + 2*c(u). What is m(o)?\n' | b'-7\n' | b'Let o be -1 - 2 - 9/3. Let i be 3/2*(0 - -2). Let y(z) = -3*z**2 - 4*z + 7. Let c(s) = 4*s**2 + 4*s - 8. Let m(u) = i*y(u) + 2*c(u). What is m(o)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let g(j) = 2*j**2 - 20*j + 74. Let v be g(7). What is the second derivative of -v*t**4 - 480*t - 11*t**4 - 22*t**4 + 164*t wrt t?\n' | b'-780*t**2\n' | b'Let g(j) = 2*j**2 - 20*j + 74. Let v be g(7). What is the second derivative of -v*t**4 - 480*t - 11*t**4 - 22*t**4 + 164*t wrt t?\n' | b'-780*t**2\n' | deepmind/math_dataset |
b'Suppose 0 = -11*i + 9*i + 58. Suppose -5*x = -2*x + 2*w + i, -4*x - w = 32. Let r(p) = -p**3 - 8*p**2 - 5*p + 7. Give r(x).\n' | b'-7\n' | b'Suppose 0 = -11*i + 9*i + 58. Suppose -5*x = -2*x + 2*w + i, -4*x - w = 32. Let r(p) = -p**3 - 8*p**2 - 5*p + 7. Give r(x).\n' | b'-7\n' | deepmind/math_dataset |
b'Let a(m) = m**2 - 3*m + 15. Let r be a(6). Suppose 3*q - r = -7*d + 4*d, 0 = 3*q + 4*d - 34. Solve -5*n = -2*l - q, n - 2*l - 2 = -0*l for n.\n' | b'2\n' | b'Let a(m) = m**2 - 3*m + 15. Let r be a(6). Suppose 3*q - r = -7*d + 4*d, 0 = 3*q + 4*d - 34. Solve -5*n = -2*l - q, n - 2*l - 2 = -0*l for n.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -4*y = -2*y + 8, 4*j - 4*y - 24 = 0. Suppose 0 = 4*q - l - 6, 0*q = -2*q - l. What is the first derivative of q - f**2 - 3*f**j + 3*f**2 wrt f?\n' | b'-2*f\n' | b'Suppose -4*y = -2*y + 8, 4*j - 4*y - 24 = 0. Suppose 0 = 4*q - l - 6, 0*q = -2*q - l. What is the first derivative of q - f**2 - 3*f**j + 3*f**2 wrt f?\n' | b'-2*f\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhvvhaaahaa. Give prob of picking 1 v, 1 a, and 1 h.\n' | b'8/33\n' | b'Three letters picked without replacement from hhvvhaaahaa. Give prob of picking 1 v, 1 a, and 1 h.\n' | b'8/33\n' | deepmind/math_dataset |
b'Simplify (p*(p/(p/p**(3/8)))/p)/p*p**(-8)*p*(p**14)**(-17/4) assuming p is positive.\n' | b'p**(-537/8)\n' | b'Simplify (p*(p/(p/p**(3/8)))/p)/p*p**(-8)*p*(p**14)**(-17/4) assuming p is positive.\n' | b'p**(-537/8)\n' | deepmind/math_dataset |
b'Let u(i) be the third derivative of i**8/56 + 3*i**4/4 + 21*i**2. What is the second derivative of u(w) wrt w?\n' | b'120*w**3\n' | b'Let u(i) be the third derivative of i**8/56 + 3*i**4/4 + 21*i**2. What is the second derivative of u(w) wrt w?\n' | b'120*w**3\n' | deepmind/math_dataset |
b'Simplify ((m**(-8)*m)/((m/(m/(m/(m/m**(-9)*m))*m*m))/m)*m*m*(m/(m/(m/m**(-7/3))))/m*m*m*m**(1/7))**(2/37) assuming m is positive.\n' | b'm**(524/777)\n' | b'Simplify ((m**(-8)*m)/((m/(m/(m/(m/m**(-9)*m))*m*m))/m)*m*m*(m/(m/(m/m**(-7/3))))/m*m*m*m**(1/7))**(2/37) assuming m is positive.\n' | b'm**(524/777)\n' | deepmind/math_dataset |
b'Simplify (((q*q**(-2/5))/(((q*q**(-2))/q)/q))**(-2/27))**(-2/9) assuming q is positive.\n' | b'q**(8/135)\n' | b'Simplify (((q*q**(-2/5))/(((q*q**(-2))/q)/q))**(-2/27))**(-2/9) assuming q is positive.\n' | b'q**(8/135)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, k: 5}. What is prob of picking 2 c?\n' | b'3/28\n' | b'Two letters picked without replacement from {c: 3, k: 5}. What is prob of picking 2 c?\n' | b'3/28\n' | deepmind/math_dataset |
b'Suppose 11*t = 8*t + 6. Solve 0 = -3*s - t*u + 8, 2*s - 5*s + u - 4 = 0 for s.\n' | b'0\n' | b'Suppose 11*t = 8*t + 6. Solve 0 = -3*s - t*u + 8, 2*s - 5*s + u - 4 = 0 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(v) = 14*v + 1. Let c = 28 + -27. Suppose -c - 2 = -3*y. Determine s(y).\n' | b'15\n' | b'Let s(v) = 14*v + 1. Let c = 28 + -27. Suppose -c - 2 = -3*y. Determine s(y).\n' | b'15\n' | deepmind/math_dataset |
b'Calculate prob of sequence mk when two letters picked without replacement from {m: 1, k: 1, x: 10, b: 1}.\n' | b'1/156\n' | b'Calculate prob of sequence mk when two letters picked without replacement from {m: 1, k: 1, x: 10, b: 1}.\n' | b'1/156\n' | deepmind/math_dataset |
b'Calculate prob of sequence ubb when three letters picked without replacement from {u: 2, b: 7}.\n' | b'1/6\n' | b'Calculate prob of sequence ubb when three letters picked without replacement from {u: 2, b: 7}.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 3 y when three letters picked without replacement from {y: 7, j: 6}?\n' | b'35/286\n' | b'What is prob of picking 3 y when three letters picked without replacement from {y: 7, j: 6}?\n' | b'35/286\n' | deepmind/math_dataset |
b'Let b(y) = -y**3 + 9*y**2 - 10*y + 18. Let l be b(8). Let n(c) = -5*c + 5*c**2 - 2*c**l + 2*c**2 + c**3 + 12*c - 2 - 2*c**3. Give n(6).\n' | b'4\n' | b'Let b(y) = -y**3 + 9*y**2 - 10*y + 18. Let l be b(8). Let n(c) = -5*c + 5*c**2 - 2*c**l + 2*c**2 + c**3 + 12*c - 2 - 2*c**3. Give n(6).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, p: 11, w: 3, f: 5}. Give prob of sequence vpw.\n' | b'11/2280\n' | b'Three letters picked without replacement from {v: 1, p: 11, w: 3, f: 5}. Give prob of sequence vpw.\n' | b'11/2280\n' | deepmind/math_dataset |
b'Let n = -8 + 4. Let m(b) be the second derivative of -2*b - 33 - 3*b**2 - 1/2*b**3. Determine m(n).\n' | b'6\n' | b'Let n = -8 + 4. Let m(b) be the second derivative of -2*b - 33 - 3*b**2 - 1/2*b**3. Determine m(n).\n' | b'6\n' | deepmind/math_dataset |
b'Let y = -25 - -8. Let g = y - -16. Let k(v) = 1 + 6*v - 1. Give k(g).\n' | b'-6\n' | b'Let y = -25 - -8. Let g = y - -16. Let k(v) = 1 + 6*v - 1. Give k(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(l) be the second derivative of l**4/12 - 4*l**3/3 + 4*l**2 + l + 37. Calculate q(5).\n' | b'-7\n' | b'Let q(l) be the second derivative of l**4/12 - 4*l**3/3 + 4*l**2 + l + 37. Calculate q(5).\n' | b'-7\n' | deepmind/math_dataset |
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