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 (v**(-41)*v**(2/29)*(v/v**(-8))/v*v*v*v**27*v)**(7/2) assuming v is positive.\n' | b'v**(-595/58)\n' | b'Simplify (v**(-41)*v**(2/29)*(v/v**(-8))/v*v*v*v**27*v)**(7/2) assuming v is positive.\n' | b'v**(-595/58)\n' | deepmind/math_dataset |
b'Simplify ((l*l/(l/(l**(-10)*l)))/((l/(l/(l/(l*l**10)*l))*l)/l)*((l*l**(-2/37)*l)/l)/l*(l/(l/(l/(l**(-3/5)*l)*l)))/l)**(-5) assuming l is positive.\n' | b'l**(-286/37)\n' | b'Simplify ((l*l/(l/(l**(-10)*l)))/((l/(l/(l/(l*l**10)*l))*l)/l)*((l*l**(-2/37)*l)/l)/l*(l/(l/(l/(l**(-3/5)*l)*l)))/l)**(-5) assuming l is positive.\n' | b'l**(-286/37)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, y: 1, i: 3, v: 4, t: 2}. Give prob of picking 2 v and 2 h.\n' | b'2/165\n' | b'Four letters picked without replacement from {h: 2, y: 1, i: 3, v: 4, t: 2}. Give prob of picking 2 v and 2 h.\n' | b'2/165\n' | deepmind/math_dataset |
b'Simplify ((p*p**(-2/11)*p)/p*p*p/p**2)**(4/11)*((p*p/(p*p/(p/(p*p/(p*p*p**(-2/9)/p*p*p)*p*p))*p))**(-29))**(1/78) assuming p is positive.\n' | b'p**(63871/84942)\n' | b'Simplify ((p*p**(-2/11)*p)/p*p*p/p**2)**(4/11)*((p*p/(p*p/(p/(p*p/(p*p*p**(-2/9)/p*p*p)*p*p))*p))**(-29))**(1/78) assuming p is positive.\n' | b'p**(63871/84942)\n' | deepmind/math_dataset |
b'Suppose 8*q + 12 + 4 = 0. Let t be 1*((-6 - q) + 6). Solve -2*f - 2*f - t*x + 2 = 0, 8 = -2*f - 4*x for f.\n' | b'2\n' | b'Suppose 8*q + 12 + 4 = 0. Let t be 1*((-6 - q) + 6). Solve -2*f - 2*f - t*x + 2 = 0, 8 = -2*f - 4*x for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(k) be the first derivative of -k**4/4 - 10*k**3/3 - 4*k**2 + 12*k - 108. Calculate n(-9).\n' | b'3\n' | b'Let n(k) be the first derivative of -k**4/4 - 10*k**3/3 - 4*k**2 + 12*k - 108. Calculate n(-9).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 4, d: 6, i: 3}. Give prob of sequence qi.\n' | b'1/13\n' | b'Two letters picked without replacement from {q: 4, d: 6, i: 3}. Give prob of sequence qi.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let d(h) = 3*h - 2. Suppose c + 9 = 3*x, -3*x + 3*c - 1 + 4 = 0. Let k = x + -2. Give d(k).\n' | b'4\n' | b'Let d(h) = 3*h - 2. Suppose c + 9 = 3*x, -3*x + 3*c - 1 + 4 = 0. Let k = x + -2. Give d(k).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, t: 9, e: 7}. What is prob of sequence rr?\n' | b'1/153\n' | b'Two letters picked without replacement from {r: 2, t: 9, e: 7}. What is prob of sequence rr?\n' | b'1/153\n' | deepmind/math_dataset |
b'Simplify ((y**2*y)/(y/y**(-4/5)))**(-5/2)*(y/y**(-1)*y)**(-2/25)*y**(2/3)/((y**(2/3)/y)/y) assuming y is positive.\n' | b'y**(-31/25)\n' | b'Simplify ((y**2*y)/(y/y**(-4/5)))**(-5/2)*(y/y**(-1)*y)**(-2/25)*y**(2/3)/((y**(2/3)/y)/y) assuming y is positive.\n' | b'y**(-31/25)\n' | deepmind/math_dataset |
b'Let o(d) be the third derivative of 0*d - 110*d**2 + 1/3*d**3 - 1/12*d**4 + 0. Determine o(5).\n' | b'-8\n' | b'Let o(d) be the third derivative of 0*d - 110*d**2 + 1/3*d**3 - 1/12*d**4 + 0. Determine o(5).\n' | b'-8\n' | deepmind/math_dataset |
b'Let f(o) be the first derivative of 3*o**7/7 - o**3 + 3. Find the third derivative of f(c) wrt c.\n' | b'360*c**3\n' | b'Let f(o) be the first derivative of 3*o**7/7 - o**3 + 3. Find the third derivative of f(c) wrt c.\n' | b'360*c**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 h, and 2 e when four letters picked without replacement from eeeueeeuuueueneqh.\n' | b'9/595\n' | b'Calculate prob of picking 1 q, 1 h, and 2 e when four letters picked without replacement from eeeueeeuuueueneqh.\n' | b'9/595\n' | deepmind/math_dataset |
b'Calculate prob of sequence scm when three letters picked without replacement from {c: 1, j: 3, y: 1, s: 1, m: 2, x: 3}.\n' | b'1/495\n' | b'Calculate prob of sequence scm when three letters picked without replacement from {c: 1, j: 3, y: 1, s: 1, m: 2, x: 3}.\n' | b'1/495\n' | deepmind/math_dataset |
b'Let z(f) = f**3 - 9*f**2 + 8*f + 3. Suppose -4*r + 2*r + 3 = -l, 0 = -l + r + 2. Suppose l*j + 128 = 23*j. What is z(j)?\n' | b'3\n' | b'Let z(f) = f**3 - 9*f**2 + 8*f + 3. Suppose -4*r + 2*r + 3 = -l, 0 = -l + r + 2. Suppose l*j + 128 = 23*j. What is z(j)?\n' | b'3\n' | deepmind/math_dataset |
b'Let d(g) = -g**3 + 5*g**2 - 4*g - 1. Suppose -3*n - 8*n = -44. Give d(n).\n' | b'-1\n' | b'Let d(g) = -g**3 + 5*g**2 - 4*g - 1. Suppose -3*n - 8*n = -44. Give d(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 4, u: 14}. Give prob of picking 3 u and 1 i.\n' | b'364/765\n' | b'Four letters picked without replacement from {i: 4, u: 14}. Give prob of picking 3 u and 1 i.\n' | b'364/765\n' | deepmind/math_dataset |
b'Let z(d) = -d**3 + 9*d**2 + 10*d - 11. Let x be 3*14/(-231) + (-1069)/(-11). Let t = 36 - x. Let i = t - -71. What is z(i)?\n' | b'-11\n' | b'Let z(d) = -d**3 + 9*d**2 + 10*d - 11. Let x be 3*14/(-231) + (-1069)/(-11). Let t = 36 - x. Let i = t - -71. What is z(i)?\n' | b'-11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, u: 4, s: 4}. Give prob of picking 3 f.\n' | b'1/165\n' | b'Three letters picked without replacement from {f: 3, u: 4, s: 4}. Give prob of picking 3 f.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let l = 4 - 0. Suppose -g + 10 = x, 3*g - 6*g = -x + 6. Let w(f) = -x*f**2 - 6*f - 2 + 10*f**2 + 6. What is w(l)?\n' | b'-4\n' | b'Let l = 4 - 0. Suppose -g + 10 = x, 3*g - 6*g = -x + 6. Let w(f) = -x*f**2 - 6*f - 2 + 10*f**2 + 6. What is w(l)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 4*i + 2*h = 3 + 15, -5*i - 10 = -4*h. Solve -1 = i*s + 5*t + 1, 0 = -3*s + 3*t - 3 for s.\n' | b'-1\n' | b'Suppose 4*i + 2*h = 3 + 15, -5*i - 10 = -4*h. Solve -1 = i*s + 5*t + 1, 0 = -3*s + 3*t - 3 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 t, 1 l, and 1 q when four letters picked without replacement from {l: 3, o: 7, g: 2, t: 1, q: 7}?\n' | b'14/1615\n' | b'What is prob of picking 1 g, 1 t, 1 l, and 1 q when four letters picked without replacement from {l: 3, o: 7, g: 2, t: 1, q: 7}?\n' | b'14/1615\n' | deepmind/math_dataset |
b'Let z(a) be the second derivative of 6409*a**7/42 + 17*a**4/6 - 7*a**3/6 + 2*a**2 + 4794*a. Find the third derivative of z(n) wrt n.\n' | b'384540*n**2\n' | b'Let z(a) be the second derivative of 6409*a**7/42 + 17*a**4/6 - 7*a**3/6 + 2*a**2 + 4794*a. Find the third derivative of z(n) wrt n.\n' | b'384540*n**2\n' | deepmind/math_dataset |
b'Simplify (f/(f**(-2/7)/f)*f/f**1)/(f**(1/3)*f*f*f*f/(f/f**(-2/15))) assuming f is positive.\n' | b'f**(-32/35)\n' | b'Simplify (f/(f**(-2/7)/f)*f/f**1)/(f**(1/3)*f*f*f*f/(f/f**(-2/15))) assuming f is positive.\n' | b'f**(-32/35)\n' | deepmind/math_dataset |
b'Simplify (j**(-2/19)/j**8)/(((j*j**(5/7))/j)/j*j*j**(-3/26)) assuming j is positive.\n' | b'j**(-30099/3458)\n' | b'Simplify (j**(-2/19)/j**8)/(((j*j**(5/7))/j)/j*j*j**(-3/26)) assuming j is positive.\n' | b'j**(-30099/3458)\n' | deepmind/math_dataset |
b'Let k(w) = 15*w**5 + 2*w**4 + 8*w**3 - 78*w. Let r(q) = 5*q**5 + q**4 + 3*q**3 - 26*q. Let b(v) = 3*k(v) - 8*r(v). Find the second derivative of b(j) wrt j.\n' | b'100*j**3 - 24*j**2\n' | b'Let k(w) = 15*w**5 + 2*w**4 + 8*w**3 - 78*w. Let r(q) = 5*q**5 + q**4 + 3*q**3 - 26*q. Let b(v) = 3*k(v) - 8*r(v). Find the second derivative of b(j) wrt j.\n' | b'100*j**3 - 24*j**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 b when three letters picked without replacement from {b: 13, j: 4, p: 3}.\n' | b'143/570\n' | b'Calculate prob of picking 3 b when three letters picked without replacement from {b: 13, j: 4, p: 3}.\n' | b'143/570\n' | deepmind/math_dataset |
b'Differentiate 60*t + 8 + 21 - 16 wrt t.\n' | b'60\n' | b'Differentiate 60*t + 8 + 21 - 16 wrt t.\n' | b'60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lllbbbllblbblllllll. What is prob of picking 2 l?\n' | b'26/57\n' | b'Two letters picked without replacement from lllbbbllblbblllllll. What is prob of picking 2 l?\n' | b'26/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence erre when four letters picked without replacement from {r: 14, e: 5}.\n' | b'455/11628\n' | b'Calculate prob of sequence erre when four letters picked without replacement from {r: 14, e: 5}.\n' | b'455/11628\n' | deepmind/math_dataset |
b'Simplify (((d**4*d*d)/d*d)/d*d/(d/(d*d**(-1)*d)*d))/(d**(6/7)*d*d*d**(-2/3)) assuming d is positive.\n' | b'd**(59/21)\n' | b'Simplify (((d**4*d*d)/d*d)/d*d/(d/(d*d**(-1)*d)*d))/(d**(6/7)*d*d*d**(-2/3)) assuming d is positive.\n' | b'd**(59/21)\n' | deepmind/math_dataset |
b'Let b(x) be the first derivative of -x**7/840 + x**6/180 + x**5/40 - x**4/8 + 23*x**3/3 - 117. Let p(t) be the third derivative of b(t). Calculate p(2).\n' | b'3\n' | b'Let b(x) be the first derivative of -x**7/840 + x**6/180 + x**5/40 - x**4/8 + 23*x**3/3 - 117. Let p(t) be the third derivative of b(t). Calculate p(2).\n' | b'3\n' | deepmind/math_dataset |
b'Let m(d) = -d**2 + 12*d - 26. Let l be m(7). Let x = -14 - -26. Suppose x = 4*q - y, -q + 5*y + 3 = -0. Solve -2*z + p + 3 = 3*z, 0 = -z - q*p - l for z.\n' | b'0\n' | b'Let m(d) = -d**2 + 12*d - 26. Let l be m(7). Let x = -14 - -26. Suppose x = 4*q - y, -q + 5*y + 3 = -0. Solve -2*z + p + 3 = 3*z, 0 = -z - q*p - l for z.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 2 c when three letters picked without replacement from xxxxxcxxcccxxx.\n' | b'15/91\n' | b'Calculate prob of picking 1 x and 2 c when three letters picked without replacement from xxxxxcxxcccxxx.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let o(w) = -w**3 - 4*w**2 - 11*w + 4. Suppose 110*g = 121*g + 44. Let d(l) = 0*l**2 + l**2 - 1 - l + 2. Let t(n) = g*d(n) + o(n). Give t(-7).\n' | b'0\n' | b'Let o(w) = -w**3 - 4*w**2 - 11*w + 4. Suppose 110*g = 121*g + 44. Let d(l) = 0*l**2 + l**2 - 1 - l + 2. Let t(n) = g*d(n) + o(n). Give t(-7).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((x**(3/5)*(x/((x/(x*x**(-1)))/x)*x*x*x*x)/x)/((x*x**8*x)/(x/(x**9*x))))/(x/x**(-1)*x/(x*x**8*x)*x/(x**(3/7)/x)*x*x**(-1/5)) assuming x is positive.\n' | b'x**(-342/35)\n' | b'Simplify ((x**(3/5)*(x/((x/(x*x**(-1)))/x)*x*x*x*x)/x)/((x*x**8*x)/(x/(x**9*x))))/(x/x**(-1)*x/(x*x**8*x)*x/(x**(3/7)/x)*x*x**(-1/5)) assuming x is positive.\n' | b'x**(-342/35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, i: 2, y: 3, m: 1, h: 1, n: 1}. Give prob of picking 1 h and 1 m.\n' | b'1/55\n' | b'Two letters picked without replacement from {t: 3, i: 2, y: 3, m: 1, h: 1, n: 1}. Give prob of picking 1 h and 1 m.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let f(i) be the first derivative of -i**4/4 + i**2/2 - 13*i + 1. Suppose -35 - 4 = t. Let d = t - -39. Give f(d).\n' | b'-13\n' | b'Let f(i) be the first derivative of -i**4/4 + i**2/2 - 13*i + 1. Suppose -35 - 4 = t. Let d = t - -39. Give f(d).\n' | b'-13\n' | deepmind/math_dataset |
b'Calculate prob of sequence vee when three letters picked without replacement from dvddesesvadassddvda.\n' | b'1/969\n' | b'Calculate prob of sequence vee when three letters picked without replacement from dvddesesvadassddvda.\n' | b'1/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dlolkoalaolold. What is prob of sequence oda?\n' | b'2/273\n' | b'Three letters picked without replacement from dlolkoalaolold. What is prob of sequence oda?\n' | b'2/273\n' | deepmind/math_dataset |
b'Suppose 3*u + 64 = 7*u. Let b = u - 10. Suppose -b*s + 21 + 9 = 0. Solve -3*o - 5*l - s = 16, 0 = o - 4*l - 10 for o.\n' | b'-2\n' | b'Suppose 3*u + 64 = 7*u. Let b = u - 10. Suppose -b*s + 21 + 9 = 0. Solve -3*o - 5*l - s = 16, 0 = o - 4*l - 10 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u**1/(((u/u**(-16/3)*u)/u)/u))**25 assuming u is positive.\n' | b'u**(-325/3)\n' | b'Simplify (u**1/(((u/u**(-16/3)*u)/u)/u))**25 assuming u is positive.\n' | b'u**(-325/3)\n' | deepmind/math_dataset |
b'Let b(r) = -1836 + 265*r - 254*r + 1821. Calculate b(3).\n' | b'18\n' | b'Let b(r) = -1836 + 265*r - 254*r + 1821. Calculate b(3).\n' | b'18\n' | deepmind/math_dataset |
b'Let k(r) = -r**3 - r - 3. Let v(h) = 3*h**3 - h**2 + 2*h + 7. Let b(j) = 5*k(j) + 2*v(j). Let l be -2*3/(-2 + -1). What is b(l)?\n' | b'-3\n' | b'Let k(r) = -r**3 - r - 3. Let v(h) = 3*h**3 - h**2 + 2*h + 7. Let b(j) = 5*k(j) + 2*v(j). Let l be -2*3/(-2 + -1). What is b(l)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let g(n) = 6*n. Let b be (-12)/(-18)*9/6. Give g(b).\n' | b'6\n' | b'Let g(n) = 6*n. Let b be (-12)/(-18)*9/6. Give g(b).\n' | b'6\n' | deepmind/math_dataset |
b'Let d(i) = -2*i**3 - 13 + 8 - 1 + 3*i**3 + 13*i**2. Give d(-13).\n' | b'-6\n' | b'Let d(i) = -2*i**3 - 13 + 8 - 1 + 3*i**3 + 13*i**2. Give d(-13).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -5*y - 8 = 3*a, 0 = 40*a - 38*a + 2*y. Solve 0 = 2*f - 2*j, a*f - 3*j + j - 2 = 0 for f.\n' | b'1\n' | b'Suppose -5*y - 8 = 3*a, 0 = 40*a - 38*a + 2*y. Solve 0 = 2*f - 2*j, a*f - 3*j + j - 2 = 0 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -21*a = -229 - 338. Suppose -4*q = a - 35. Solve q*k - 22 = -5*r + k, 4*r = -4*k + 8 for r.\n' | b'5\n' | b'Suppose -21*a = -229 - 338. Suppose -4*q = a - 35. Solve q*k - 22 = -5*r + k, 4*r = -4*k + 8 for r.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, h: 2, l: 10}. Give prob of picking 2 h and 1 p.\n' | b'1/182\n' | b'Three letters picked without replacement from {p: 2, h: 2, l: 10}. Give prob of picking 2 h and 1 p.\n' | b'1/182\n' | deepmind/math_dataset |
b'Suppose -5*s + 18 + 7 = 0. Let v(r) = 2 - 4*r + s*r**2 - r**3 + 2*r + 2. Suppose -2*t - 4 = 2*l - 4*l, l = -4*t + 17. Give v(l).\n' | b'-6\n' | b'Suppose -5*s + 18 + 7 = 0. Let v(r) = 2 - 4*r + s*r**2 - r**3 + 2*r + 2. Suppose -2*t - 4 = 2*l - 4*l, l = -4*t + 17. Give v(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((s/s**4)/s*s)**(4/29)/((s*s/(s*s*s*s*s*s*(s*s**(-14)*s)/s))/s**(1/52)))**(-2/45) assuming s is positive.\n' | b's**(14167/33930)\n' | b'Simplify (((s/s**4)/s*s)**(4/29)/((s*s/(s*s*s*s*s*s*(s*s**(-14)*s)/s))/s**(1/52)))**(-2/45) assuming s is positive.\n' | b's**(14167/33930)\n' | deepmind/math_dataset |
b'Let t = 6 - -2. Suppose b - t = -2. Let j = -6 + b. Solve 2*q - 3*g - 16 = j, -4*q + 10 = 6*g - g for q.\n' | b'5\n' | b'Let t = 6 - -2. Suppose b - t = -2. Let j = -6 + b. Solve 2*q - 3*g - 16 = j, -4*q + 10 = 6*g - g for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let w = -94 + 102. Suppose -5*z - r + 43 = 0, w*z = 3*z - 3*r + 39. Solve -c = 2*g - z, 5*g + 2 - 22 = 0 for c.\n' | b'1\n' | b'Let w = -94 + 102. Suppose -5*z - r + 43 = 0, w*z = 3*z - 3*r + 39. Solve -c = 2*g - z, 5*g + 2 - 22 = 0 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(p) = 3*p**3 - 14*p**2 + 38*p - 45. Let x(w) = -2*w**3 + 10*w**2 - 25*w + 30. Let s(u) = 5*i(u) + 8*x(u). What is s(9)?\n' | b'6\n' | b'Let i(p) = 3*p**3 - 14*p**2 + 38*p - 45. Let x(w) = -2*w**3 + 10*w**2 - 25*w + 30. Let s(u) = 5*i(u) + 8*x(u). What is s(9)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (w*w*w**(4/9))/w*w/(w*w*w*w**24)*(w*w*w*w**6)**(2/137) assuming w is positive.\n' | b'w**(-30115/1233)\n' | b'Simplify (w*w*w**(4/9))/w*w/(w*w*w*w**24)*(w*w*w*w**6)**(2/137) assuming w is positive.\n' | b'w**(-30115/1233)\n' | deepmind/math_dataset |
b'Let t(v) = -v**3 + v - 1. Let b(z) = 10*z**2 + 3*z + 2. Let w be b(-1). Let h = w + -11. Give t(h).\n' | b'5\n' | b'Let t(v) = -v**3 + v - 1. Let b(z) = 10*z**2 + 3*z + 2. Let w be b(-1). Let h = w + -11. Give t(h).\n' | b'5\n' | deepmind/math_dataset |
b'Let x(t) = t**3 - 6*t**2 + 13*t - 8. Let u(m) = -m**3 - 117*m**2 + 487*m + 365. Let d be u(-121). Calculate x(d).\n' | b'2\n' | b'Let x(t) = t**3 - 6*t**2 + 13*t - 8. Let u(m) = -m**3 - 117*m**2 + 487*m + 365. Let d be u(-121). Calculate x(d).\n' | b'2\n' | deepmind/math_dataset |
b'Let p(h) be the second derivative of -11*h**6/30 - 3*h**4/4 + 199*h**2/2 - 88*h. What is the first derivative of p(f) wrt f?\n' | b'-44*f**3 - 18*f\n' | b'Let p(h) be the second derivative of -11*h**6/30 - 3*h**4/4 + 199*h**2/2 - 88*h. What is the first derivative of p(f) wrt f?\n' | b'-44*f**3 - 18*f\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from {t: 2, n: 7}.\n' | b'1/36\n' | b'Calculate prob of sequence tt when two letters picked without replacement from {t: 2, n: 7}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let s(z) = 1625*z - 2675. Let v(j) = 3246*j - 5350. Let p(n) = 5*s(n) - 3*v(n). Differentiate p(u) with respect to u.\n' | b'-1613\n' | b'Let s(z) = 1625*z - 2675. Let v(j) = 3246*j - 5350. Let p(n) = 5*s(n) - 3*v(n). Differentiate p(u) with respect to u.\n' | b'-1613\n' | deepmind/math_dataset |
b'Let h(n) = -46 + 47 + 7*n**2 - 3. Determine h(2).\n' | b'26\n' | b'Let h(n) = -46 + 47 + 7*n**2 - 3. Determine h(2).\n' | b'26\n' | deepmind/math_dataset |
b'Simplify (w/((w**(2/11)*w*w)/w)*((w/(w/w**(-8))*w)/w*w*w)/w*w**(4/5)*w*w/(w/(w*w*(w**(-2/5)*w)/w)*w)*w)**(-26) assuming w is positive.\n' | b'w**(5408/55)\n' | b'Simplify (w/((w**(2/11)*w*w)/w)*((w/(w/w**(-8))*w)/w*w*w)/w*w**(4/5)*w*w/(w/(w*w*(w**(-2/5)*w)/w)*w)*w)**(-26) assuming w is positive.\n' | b'w**(5408/55)\n' | deepmind/math_dataset |
b'Let c = -15 - -11. Let h = 3 - c. Solve -3*y + 6 = v - h, -4*y = 3*v - 24 for y.\n' | b'3\n' | b'Let c = -15 - -11. Let h = 3 - c. Solve -3*y + 6 = v - h, -4*y = 3*v - 24 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffddhdhhhqavfqdhqhfh. What is prob of sequence hq?\n' | b'21/380\n' | b'Two letters picked without replacement from ffddhdhhhqavfqdhqhfh. What is prob of sequence hq?\n' | b'21/380\n' | deepmind/math_dataset |
b'Simplify (g*(g/(g/g**0))/g*g)**(-13/4)/((g*g**(-5))/g**(2/3))*(((g/(g/(g/((g**(-7)*g)/g))))/g)/(g*g**(2/15)))**(3/7) assuming g is positive.\n' | b'g**(1651/420)\n' | b'Simplify (g*(g/(g/g**0))/g*g)**(-13/4)/((g*g**(-5))/g**(2/3))*(((g/(g/(g/((g**(-7)*g)/g))))/g)/(g*g**(2/15)))**(3/7) assuming g is positive.\n' | b'g**(1651/420)\n' | deepmind/math_dataset |
b'Let h(u) = u**3 + 4*u**2 - 3*u - 5. Let i be 2/2 - (15/12 + (-884)/208). Determine h(i).\n' | b'111\n' | b'Let h(u) = u**3 + 4*u**2 - 3*u - 5. Let i be 2/2 - (15/12 + (-884)/208). Determine h(i).\n' | b'111\n' | deepmind/math_dataset |
b'Suppose -5*o + 0*c = 4*c - 162, -4*c = -2*o + 76. Let x = -28 + o. Solve -b - x*i + 2*i + 23 = 0, 2*i = 10 for b.\n' | b'3\n' | b'Suppose -5*o + 0*c = 4*c - 162, -4*c = -2*o + 76. Let x = -28 + o. Solve -b - x*i + 2*i + 23 = 0, 2*i = 10 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = -15*h + 20*h - 15. Let s(a) = -h*a**2 - 4*a - 10*a**2 + 14*a**2 + 3*a. Give s(-3).\n' | b'12\n' | b'Suppose 0 = -15*h + 20*h - 15. Let s(a) = -h*a**2 - 4*a - 10*a**2 + 14*a**2 + 3*a. Give s(-3).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify (((g**(2/3)*g*(g/(g/(g**(-1/5)/g*g)))/g)/(g**(-1/4))**(1/39))**(-9/5))**(17/2) assuming g is positive.\n' | b'g**(-18819/2600)\n' | b'Simplify (((g**(2/3)*g*(g/(g/(g**(-1/5)/g*g)))/g)/(g**(-1/4))**(1/39))**(-9/5))**(17/2) assuming g is positive.\n' | b'g**(-18819/2600)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffafaqwfbwfwm. What is prob of picking 2 f?\n' | b'5/39\n' | b'Two letters picked without replacement from ffafaqwfbwfwm. What is prob of picking 2 f?\n' | b'5/39\n' | deepmind/math_dataset |
b'What is prob of sequence uo when two letters picked without replacement from {o: 1, n: 1, l: 1, k: 1, u: 2, i: 1}?\n' | b'1/21\n' | b'What is prob of sequence uo when two letters picked without replacement from {o: 1, n: 1, l: 1, k: 1, u: 2, i: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let y(l) = -3*l - 15. Let g(h) = 7*h + 28. Let c(p) = 6*g(p) + 11*y(p). Differentiate c(n) wrt n.\n' | b'9\n' | b'Let y(l) = -3*l - 15. Let g(h) = 7*h + 28. Let c(p) = 6*g(p) + 11*y(p). Differentiate c(n) wrt n.\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -213*w + 407 - 141 = -160. Solve k = p + 7, w*p - 4*k = -3*p - 30 for p.\n' | b'-2\n' | b'Suppose -213*w + 407 - 141 = -160. Solve k = p + 7, w*p - 4*k = -3*p - 30 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (i*i**(1/4)/i)**(-31)/((i*i*(i*i**9)/i*i)/i*i**(-7/4)) assuming i is positive.\n' | b'i**(-17)\n' | b'Simplify (i*i**(1/4)/i)**(-31)/((i*i*(i*i**9)/i*i)/i*i**(-7/4)) assuming i is positive.\n' | b'i**(-17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, a: 6, g: 3, w: 1, h: 2, r: 4}. Give prob of picking 2 a, 1 b, and 1 g.\n' | b'45/1292\n' | b'Four letters picked without replacement from {b: 3, a: 6, g: 3, w: 1, h: 2, r: 4}. Give prob of picking 2 a, 1 b, and 1 g.\n' | b'45/1292\n' | deepmind/math_dataset |
b'What is the third derivative of 2*p**3 + 6*p**3 + 344*p**2 + 8*p**3 - 355*p**2 wrt p?\n' | b'96\n' | b'What is the third derivative of 2*p**3 + 6*p**3 + 344*p**2 + 8*p**3 - 355*p**2 wrt p?\n' | b'96\n' | deepmind/math_dataset |
b'Let g(m) = 21*m**3 + 12*m**2 + 74*m - 2520. Let n(h) = 62*h**3 + 34*h**2 + 221*h - 7567. Let q(u) = 17*g(u) - 6*n(u). Differentiate q(z) with respect to z.\n' | b'-45*z**2 - 68\n' | b'Let g(m) = 21*m**3 + 12*m**2 + 74*m - 2520. Let n(h) = 62*h**3 + 34*h**2 + 221*h - 7567. Let q(u) = 17*g(u) - 6*n(u). Differentiate q(z) with respect to z.\n' | b'-45*z**2 - 68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from liirixixi. What is prob of picking 2 x, 1 l, and 1 i?\n' | b'5/126\n' | b'Four letters picked without replacement from liirixixi. What is prob of picking 2 x, 1 l, and 1 i?\n' | b'5/126\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 4, p: 2}. Give prob of picking 2 f.\n' | b'2/5\n' | b'Two letters picked without replacement from {f: 4, p: 2}. Give prob of picking 2 f.\n' | b'2/5\n' | deepmind/math_dataset |
b'Let b(a) = a**2 - 10*a - 63. Let k be b(15). Solve 1 = 3*z - 5*f, -5*z + 5*f - k = -7 for z.\n' | b'-3\n' | b'Let b(a) = a**2 - 10*a - 63. Let k be b(15). Solve 1 = 3*z - 5*f, -5*z + 5*f - k = -7 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of 4023*b**4/4 + 9268*b - 3226. Differentiate x(a) wrt a.\n' | b'12069*a**2\n' | b'Let x(b) be the first derivative of 4023*b**4/4 + 9268*b - 3226. Differentiate x(a) wrt a.\n' | b'12069*a**2\n' | deepmind/math_dataset |
b'Suppose 9*v - 43 = -p + 4*v, -2*v - 26 = -2*p. Suppose p*t - 22*t = -16. Solve 4*d - 2*s = -10, -s + t*s + 18 = -5*d for d.\n' | b'-3\n' | b'Suppose 9*v - 43 = -p + 4*v, -2*v - 26 = -2*p. Suppose p*t - 22*t = -16. Solve 4*d - 2*s = -10, -s + t*s + 18 = -5*d for d.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {a: 1, u: 1, h: 8, d: 1, f: 1, g: 2}?\n' | b'4/13\n' | b'What is prob of picking 2 h when two letters picked without replacement from {a: 1, u: 1, h: 8, d: 1, f: 1, g: 2}?\n' | b'4/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rxxxxrxxxxr. What is prob of sequence rrr?\n' | b'1/165\n' | b'Three letters picked without replacement from rxxxxrxxxxr. What is prob of sequence rrr?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let q(f) = 99*f - 295. Let x be q(3). Solve 4*a + 2*g + 0*g - 10 = 0, -x*g - 15 = -a for a.\n' | b'5\n' | b'Let q(f) = 99*f - 295. Let x be q(3). Solve 4*a + 2*g + 0*g - 10 = 0, -x*g - 15 = -a for a.\n' | b'5\n' | deepmind/math_dataset |
b'Let x = 12 + -7. Let d(m) = -m**2 + 6*m - 3. Let w(r) be the third derivative of r**3/6 - 17*r**2. Let o(i) = d(i) + w(i). Give o(x).\n' | b'3\n' | b'Let x = 12 + -7. Let d(m) = -m**2 + 6*m - 3. Let w(r) be the third derivative of r**3/6 - 17*r**2. Let o(i) = d(i) + w(i). Give o(x).\n' | b'3\n' | deepmind/math_dataset |
b'Let w be 3 + 0/3 + -1. Let a be 2 - (w - 9/3). What is the second derivative of 3*b + 3*b**3 + 9*b - 6*b**5 - a*b**3 wrt b?\n' | b'-120*b**3\n' | b'Let w be 3 + 0/3 + -1. Let a be 2 - (w - 9/3). What is the second derivative of 3*b + 3*b**3 + 9*b - 6*b**5 - a*b**3 wrt b?\n' | b'-120*b**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 6, c: 12}. Give prob of sequence ckcc.\n' | b'11/102\n' | b'Four letters picked without replacement from {k: 6, c: 12}. Give prob of sequence ckcc.\n' | b'11/102\n' | deepmind/math_dataset |
b'Simplify (i/(i**1*i)*i/i**1)/(i**1/i**(-1/7))*((i/(i/(i/((i*i**(-9))/i*i*i))))/i*i*i*i*i/(i/i**(-3/7)))**(-47) assuming i is positive.\n' | b'i**(-452)\n' | b'Simplify (i/(i**1*i)*i/i**1)/(i**1/i**(-1/7))*((i/(i/(i/((i*i**(-9))/i*i*i))))/i*i*i*i*i/(i/i**(-3/7)))**(-47) assuming i is positive.\n' | b'i**(-452)\n' | deepmind/math_dataset |
b'Suppose w - 21 = 6*w + 3*y, 4*w = 2*y - 8. Let j(p) = p. What is j(w)?\n' | b'-3\n' | b'Suppose w - 21 = 6*w + 3*y, 4*w = 2*y - 8. Let j(p) = p. What is j(w)?\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oooyyoyooo. What is prob of picking 3 o and 1 y?\n' | b'1/2\n' | b'Four letters picked without replacement from oooyyoyooo. What is prob of picking 3 o and 1 y?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify ((x**(-7)*x)/((x/x**(-2/19))/x*x))/(x**12*x/(x*x**(1/2)/x)) assuming x is positive.\n' | b'x**(-745/38)\n' | b'Simplify ((x**(-7)*x)/((x/x**(-2/19))/x*x))/(x**12*x/(x*x**(1/2)/x)) assuming x is positive.\n' | b'x**(-745/38)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, f: 1, w: 1}. Give prob of sequence fo.\n' | b'1/6\n' | b'Two letters picked without replacement from {o: 1, f: 1, w: 1}. Give prob of sequence fo.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 4*l + 85 = 9*l. Suppose -3*x = l - 2. Let z(m) = -2*m. What is z(x)?\n' | b'10\n' | b'Suppose 4*l + 85 = 9*l. Suppose -3*x = l - 2. Let z(m) = -2*m. What is z(x)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((k**(1/13)*k)/(k**(-7/6)*k))**(-46) assuming k is positive.\n' | b'k**(-2231/39)\n' | b'Simplify ((k**(1/13)*k)/(k**(-7/6)*k))**(-46) assuming k is positive.\n' | b'k**(-2231/39)\n' | deepmind/math_dataset |
b'Suppose -25*p + 40 = 40. Let q(r) be the second derivative of 3/5*r**5 + 0*r**2 + 13/6*r**3 + 0*r**4 + p + r. Find the second derivative of q(g) wrt g.\n' | b'72*g\n' | b'Suppose -25*p + 40 = 40. Let q(r) be the second derivative of 3/5*r**5 + 0*r**2 + 13/6*r**3 + 0*r**4 + p + r. Find the second derivative of q(g) wrt g.\n' | b'72*g\n' | deepmind/math_dataset |
b'Simplify (y*y/(y*y*y*y**0*y*y))**(15/8)*(y**(1/3))**(7/2) assuming y is positive.\n' | b'y**(-107/24)\n' | b'Simplify (y*y/(y*y*y*y**0*y*y))**(15/8)*(y**(1/3))**(7/2) assuming y is positive.\n' | b'y**(-107/24)\n' | deepmind/math_dataset |
b'Simplify ((q**(-11)*q)**(5/9)*(q/(q/(q/((q*q**(-2/3))/q))))**(-44))**(-33) assuming q is positive.\n' | b'q**(7810/3)\n' | b'Simplify ((q**(-11)*q)**(5/9)*(q/(q/(q/((q*q**(-2/3))/q))))**(-44))**(-33) assuming q is positive.\n' | b'q**(7810/3)\n' | deepmind/math_dataset |
b'Suppose n + 3*h + 2 = 0, 2*n - 2*h + 83 = 103. Solve -2*o - 5 = 5*j, -8 = n*o - 6*o - 3*j for o.\n' | b'-5\n' | b'Suppose n + 3*h + 2 = 0, 2*n - 2*h + 83 = 103. Solve -2*o - 5 = 5*j, -8 = n*o - 6*o - 3*j for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Let g be (-2270)/4 - ((-9)/(-2))/9. Let t be g/(-26) - 16/(-104). Let r = t - 20. Solve -4*q = -r*k - 14, -5*k + 9 = q + 33 for k.\n' | b'-5\n' | b'Let g be (-2270)/4 - ((-9)/(-2))/9. Let t be g/(-26) - 16/(-104). Let r = t - 20. Solve -4*q = -r*k - 14, -5*k + 9 = q + 33 for k.\n' | b'-5\n' | deepmind/math_dataset |
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