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'Let p = 91 + -86. Solve 9 = -5*u + i, -2*u - p*i + 0 - 9 = 0 for u.\n' | b'-2\n' | b'Let p = 91 + -86. Solve 9 = -5*u + i, -2*u - p*i + 0 - 9 = 0 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, s: 4, q: 2, a: 3}. What is prob of picking 2 a?\n' | b'1/15\n' | b'Two letters picked without replacement from {k: 1, s: 4, q: 2, a: 3}. What is prob of picking 2 a?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let z = -54 + 56. Solve 0*k - 2*m = -5*k + 29, z*m = -k + 1 for k.\n' | b'5\n' | b'Let z = -54 + 56. Solve 0*k - 2*m = -5*k + 29, z*m = -k + 1 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence wr when two letters picked without replacement from {d: 4, x: 4, w: 2, r: 2, f: 1, a: 1}.\n' | b'2/91\n' | b'Calculate prob of sequence wr when two letters picked without replacement from {d: 4, x: 4, w: 2, r: 2, f: 1, a: 1}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Let t = -16 - -18. Suppose -3*j + 1 = -t*j. Solve -2*m - 5 = -l, -5*m + 2*l - 4*l = -j for m.\n' | b'-1\n' | b'Let t = -16 - -18. Suppose -3*j + 1 = -t*j. Solve -2*m - 5 = -l, -5*m + 2*l - 4*l = -j for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d = 50 + -36. Solve -5*f + 40 = -9*n + 4*n, 2*n + 4*f = d for n.\n' | b'-3\n' | b'Let d = 50 + -36. Solve -5*f + 40 = -9*n + 4*n, 2*n + 4*f = d for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -9*l - 16*l + 29*l. Solve 0*x = -v - x - 6, -4*v - 5*x - 28 = l for v.\n' | b'-2\n' | b'Suppose 0 = -9*l - 16*l + 29*l. Solve 0*x = -v - x - 6, -4*v - 5*x - 28 = l for v.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from nnnnnnnxnnnxxnxnnxn?\n' | b'91/171\n' | b'What is prob of picking 2 n when two letters picked without replacement from nnnnnnnxnnnxxnxnnxn?\n' | b'91/171\n' | deepmind/math_dataset |
b'Simplify ((f**(-8/7)*(f*f*f**(-25/4))/f*f)**38)**(-1/16) assuming f is positive.\n' | b'f**(2869/224)\n' | b'Simplify ((f**(-8/7)*(f*f*f**(-25/4))/f*f)**38)**(-1/16) assuming f is positive.\n' | b'f**(2869/224)\n' | deepmind/math_dataset |
b'Simplify ((q**(4/17)*q)/q*q)/(q/q**(-18)) assuming q is positive.\n' | b'q**(-302/17)\n' | b'Simplify ((q**(4/17)*q)/q*q)/(q/q**(-18)) assuming q is positive.\n' | b'q**(-302/17)\n' | deepmind/math_dataset |
b'Let l(i) be the second derivative of 5*i + 0 + 1/3*i**3 + 4*i**2. Determine l(-7).\n' | b'-6\n' | b'Let l(i) be the second derivative of 5*i + 0 + 1/3*i**3 + 4*i**2. Determine l(-7).\n' | b'-6\n' | deepmind/math_dataset |
b'Let u(r) = -r**3 - 4*r**2 + 6*r - 1. Let k(o) = o**3 + 1. Let g be k(-1). Suppose 5*w = -g*w - 25. Determine u(w).\n' | b'-6\n' | b'Let u(r) = -r**3 - 4*r**2 + 6*r - 1. Let k(o) = o**3 + 1. Let g be k(-1). Suppose 5*w = -g*w - 25. Determine u(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqwq when four letters picked without replacement from wmlwnfqqqwlw.\n' | b'1/495\n' | b'Calculate prob of sequence qqwq when four letters picked without replacement from wmlwnfqqqwlw.\n' | b'1/495\n' | deepmind/math_dataset |
b'Calculate prob of sequence zfbo when four letters picked without replacement from {j: 1, b: 6, z: 1, f: 8, o: 2}.\n' | b'1/765\n' | b'Calculate prob of sequence zfbo when four letters picked without replacement from {j: 1, b: 6, z: 1, f: 8, o: 2}.\n' | b'1/765\n' | deepmind/math_dataset |
b'Calculate prob of sequence dd when two letters picked without replacement from dtodddddddddtdn.\n' | b'11/21\n' | b'Calculate prob of sequence dd when two letters picked without replacement from dtodddddddddtdn.\n' | b'11/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 4}. What is prob of sequence llll?\n' | b'1\n' | b'Four letters picked without replacement from {l: 4}. What is prob of sequence llll?\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of 2*p - p + 7*p**2 - 3*p + p wrt p.\n' | b'14\n' | b'Find the second derivative of 2*p - p + 7*p**2 - 3*p + p wrt p.\n' | b'14\n' | deepmind/math_dataset |
b'Find the second derivative of 297 - 12*z**5 - 21*z - 297 wrt z.\n' | b'-240*z**3\n' | b'Find the second derivative of 297 - 12*z**5 - 21*z - 297 wrt z.\n' | b'-240*z**3\n' | deepmind/math_dataset |
b'Let j(i) = -3*i**3 + i**2 - 2*i - 2. Let q be j(-1). Suppose -22 + q = -k. What is the derivative of -14 + 20*a**2 + 4 - k wrt a?\n' | b'40*a\n' | b'Let j(i) = -3*i**3 + i**2 - 2*i - 2. Let q be j(-1). Suppose -22 + q = -k. What is the derivative of -14 + 20*a**2 + 4 - k wrt a?\n' | b'40*a\n' | deepmind/math_dataset |
b'Let f(g) = -g**2 + 13*g - 8. Let v be f(12). Suppose -v*m + m + 111 = 0. What is the second derivative of 10*b - 23*b**4 + m*b**4 + 10*b wrt b?\n' | b'168*b**2\n' | b'Let f(g) = -g**2 + 13*g - 8. Let v be f(12). Suppose -v*m + m + 111 = 0. What is the second derivative of 10*b - 23*b**4 + m*b**4 + 10*b wrt b?\n' | b'168*b**2\n' | deepmind/math_dataset |
b'What is the second derivative of -2025 + 1977 + 5*y + 9*y**2 + 57*y**5 + 0*y**2 wrt y?\n' | b'1140*y**3 + 18\n' | b'What is the second derivative of -2025 + 1977 + 5*y + 9*y**2 + 57*y**5 + 0*y**2 wrt y?\n' | b'1140*y**3 + 18\n' | deepmind/math_dataset |
b'Let t be (-2)/((-8)/(-12)) - 3. Let c be (-14)/t + 1/(-3). What is the third derivative of a**2 - a**c - 5*a**2 - 3*a**6 wrt a?\n' | b'-360*a**3\n' | b'Let t be (-2)/((-8)/(-12)) - 3. Let c be (-14)/t + 1/(-3). What is the third derivative of a**2 - a**c - 5*a**2 - 3*a**6 wrt a?\n' | b'-360*a**3\n' | deepmind/math_dataset |
b'Let h = 21 + -18. Solve -3*x = -h*p + 12, p - 14 = -0*p + 3*x for p.\n' | b'-1\n' | b'Let h = 21 + -18. Solve -3*x = -h*p + 12, p - 14 = -0*p + 3*x for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Let q(x) = -151 + 7*x + 55 + 66 + 39*x**2 + 47 - 38*x**2. What is q(-7)?\n' | b'17\n' | b'Let q(x) = -151 + 7*x + 55 + 66 + 39*x**2 + 47 - 38*x**2. What is q(-7)?\n' | b'17\n' | deepmind/math_dataset |
b'Simplify (w/(w*w/w**1)*w**(4/9)*w)/(w/w**0*w/(w/(w*w**(-5)))) assuming w is positive.\n' | b'w**(40/9)\n' | b'Simplify (w/(w*w/w**1)*w**(4/9)*w)/(w/w**0*w/(w/(w*w**(-5)))) assuming w is positive.\n' | b'w**(40/9)\n' | deepmind/math_dataset |
b'Let b be 124/28 + 16/28. Suppose 8 = 3*q - 2*r + 31, -q - b*r = -15. Let y(o) = o**3 + 5*o**2 + o + 7. What is y(q)?\n' | b'2\n' | b'Let b be 124/28 + 16/28. Suppose 8 = 3*q - 2*r + 31, -q - b*r = -15. Let y(o) = o**3 + 5*o**2 + o + 7. What is y(q)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify d**(1/8)*d/(d**(2/11)*d)*(d**2*d)**(1/18) assuming d is positive.\n' | b'd**(29/264)\n' | b'Simplify d**(1/8)*d/(d**(2/11)*d)*(d**2*d)**(1/18) assuming d is positive.\n' | b'd**(29/264)\n' | deepmind/math_dataset |
b'Simplify (((w**(1/7)/w)/w)/w**(2/3)*w**(1/9)*w*w**(2/3))/((w*w/(w/(w**1/w)))**(-1/31))**(-1/45) assuming w is positive.\n' | b'w**(-7292/9765)\n' | b'Simplify (((w**(1/7)/w)/w)/w**(2/3)*w**(1/9)*w*w**(2/3))/((w*w/(w/(w**1/w)))**(-1/31))**(-1/45) assuming w is positive.\n' | b'w**(-7292/9765)\n' | deepmind/math_dataset |
b'Let b = 15 + -1. Suppose 3*f - 72 = 3*p, -f = 4*p - 5 - b. Solve 5*y = 3*j - j - f, -12 = -3*j for y.\n' | b'-3\n' | b'Let b = 15 + -1. Suppose 3*f - 72 = 3*p, -f = 4*p - 5 - b. Solve 5*y = 3*j - j - f, -12 = -3*j for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of -3 + 13*y**2 + 1 + 8*y + 2 wrt y.\n' | b'26\n' | b'Find the second derivative of -3 + 13*y**2 + 1 + 8*y + 2 wrt y.\n' | b'26\n' | deepmind/math_dataset |
b'Suppose n = -3*s - 22 + 185, 871 = 5*n + s. Find the third derivative of 175*d - 14*d**2 + 4*d**4 - n*d wrt d.\n' | b'96*d\n' | b'Suppose n = -3*s - 22 + 185, 871 = 5*n + s. Find the third derivative of 175*d - 14*d**2 + 4*d**4 - n*d wrt d.\n' | b'96*d\n' | deepmind/math_dataset |
b'Let s be (-54)/(-10) + (-40)/100. Solve s*m - 3*r - 22 = 0, -7*m = -2*m + r - 26 for m.\n' | b'5\n' | b'Let s be (-54)/(-10) + (-40)/100. Solve s*m - 3*r - 22 = 0, -7*m = -2*m + r - 26 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Let q be 3*1/(1/2). Let f be ((-4)/10)/(3/(-15)). Suppose 4*o + 13 = j, f*o - q = -o. Solve s - v = 0, 4*v = -j + 5 for s.\n' | b'-4\n' | b'Let q be 3*1/(1/2). Let f be ((-4)/10)/(3/(-15)). Suppose 4*o + 13 = j, f*o - q = -o. Solve s - v = 0, 4*v = -j + 5 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from jjj?\n' | b'1\n' | b'What is prob of picking 2 j when two letters picked without replacement from jjj?\n' | b'1\n' | deepmind/math_dataset |
b'Let f = -8 - -7. Let g be (0 + 5)/((-1)/f). Let k(w) = -w**2 + 7*w - 5. Determine k(g).\n' | b'5\n' | b'Let f = -8 - -7. Let g be (0 + 5)/((-1)/f). Let k(w) = -w**2 + 7*w - 5. Determine k(g).\n' | b'5\n' | deepmind/math_dataset |
b'Let n(t) = -t**3 + 7*t**2 + 2*t + 1. Suppose 39*k = 21*k + 36. Suppose 25 = 4*h - 2*g + 3, 5*h - 41 = -k*g. What is n(h)?\n' | b'15\n' | b'Let n(t) = -t**3 + 7*t**2 + 2*t + 1. Suppose 39*k = 21*k + 36. Suppose 25 = 4*h - 2*g + 3, 5*h - 41 = -k*g. What is n(h)?\n' | b'15\n' | deepmind/math_dataset |
b'Simplify u**21/(u**(6/13)*u)*u**(-11)*u**(-2/19) assuming u is positive.\n' | b'u**(2083/247)\n' | b'Simplify u**21/(u**(6/13)*u)*u**(-11)*u**(-2/19) assuming u is positive.\n' | b'u**(2083/247)\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from {a: 9}?\n' | b'1\n' | b'What is prob of picking 2 a when two letters picked without replacement from {a: 9}?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hj when two letters picked without replacement from {t: 3, z: 4, h: 4, j: 5}.\n' | b'1/12\n' | b'Calculate prob of sequence hj when two letters picked without replacement from {t: 3, z: 4, h: 4, j: 5}.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (n*(n/(n*n**(-14)))/n)/(n*(n*n**(6/5))/n) assuming n is positive.\n' | b'n**(59/5)\n' | b'Simplify (n*(n/(n*n**(-14)))/n)/(n*(n*n**(6/5))/n) assuming n is positive.\n' | b'n**(59/5)\n' | deepmind/math_dataset |
b'Simplify ((b/b**3)/((b*b**(5/6))/b)*b**(2/7)/(b/(b/(b**2*b))))/((b*b/(((b*(b/(b/(b**5*b)))/b*b)/b)/b))/(b/b**1))**(-1/42) assuming b is positive.\n' | b'b**(-118/21)\n' | b'Simplify ((b/b**3)/((b*b**(5/6))/b)*b**(2/7)/(b/(b/(b**2*b))))/((b*b/(((b*(b/(b/(b**5*b)))/b*b)/b)/b))/(b/b**1))**(-1/42) assuming b is positive.\n' | b'b**(-118/21)\n' | deepmind/math_dataset |
b'Let x(o) = -o - 13. Let t(m) = 6. Let h(w) = -9*t(w) - 4*x(w). Give h(2).\n' | b'6\n' | b'Let x(o) = -o - 13. Let t(m) = 6. Let h(w) = -9*t(w) - 4*x(w). Give h(2).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence rm when two letters picked without replacement from qcrsm?\n' | b'1/20\n' | b'What is prob of sequence rm when two letters picked without replacement from qcrsm?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let p(u) = 0*u**3 - 3*u**2 + 2*u**2 - 3*u**3 - u. Let c be p(-1). Solve -2*v + c*v - 2*l = 10, 5*v + 4*l = 8 for v.\n' | b'4\n' | b'Let p(u) = 0*u**3 - 3*u**2 + 2*u**2 - 3*u**3 - u. Let c be p(-1). Solve -2*v + c*v - 2*l = 10, 5*v + 4*l = 8 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let t(b) = b**4 + 4*b**3 + 3*b**2. Let g(w) = -5*w**4 - 3*w**3 + 4*w**4 + 1 - 1 - 3*w**2. Let l(o) = -4*g(o) - 3*t(o). Find the third derivative of l(c) wrt c.\n' | b'24*c\n' | b'Let t(b) = b**4 + 4*b**3 + 3*b**2. Let g(w) = -5*w**4 - 3*w**3 + 4*w**4 + 1 - 1 - 3*w**2. Let l(o) = -4*g(o) - 3*t(o). Find the third derivative of l(c) wrt c.\n' | b'24*c\n' | deepmind/math_dataset |
b'What is prob of sequence rq when two letters picked without replacement from {v: 3, n: 1, q: 1, y: 7, r: 1}?\n' | b'1/156\n' | b'What is prob of sequence rq when two letters picked without replacement from {v: 3, n: 1, q: 1, y: 7, r: 1}?\n' | b'1/156\n' | deepmind/math_dataset |
b'Simplify (v*v/((v*v/v**(-5/3))/v))**42 assuming v is positive.\n' | b'v**(-28)\n' | b'Simplify (v*v/((v*v/v**(-5/3))/v))**42 assuming v is positive.\n' | b'v**(-28)\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm.\n' | b'1\n' | b'Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oiqiqloooqloqooo. Give prob of sequence liiq.\n' | b'1/2730\n' | b'Four letters picked without replacement from oiqiqloooqloqooo. Give prob of sequence liiq.\n' | b'1/2730\n' | deepmind/math_dataset |
b'Let m(z) be the first derivative of 35*z**4/4 + 5*z - 8. What is the derivative of m(f) wrt f?\n' | b'105*f**2\n' | b'Let m(z) be the first derivative of 35*z**4/4 + 5*z - 8. What is the derivative of m(f) wrt f?\n' | b'105*f**2\n' | deepmind/math_dataset |
b'Let y(f) = -3*f + 2. Let x be y(2). Let c be 7 + (-6)/x*-2. Suppose -a = -0*a - c. Solve 5*z = 5*i - 5, 4 = 3*z - z + a*i for z.\n' | b'0\n' | b'Let y(f) = -3*f + 2. Let x be y(2). Let c be 7 + (-6)/x*-2. Suppose -a = -0*a - c. Solve 5*z = 5*i - 5, 4 = 3*z - z + a*i for z.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((t/t**3)/t)**(31/5))**(12/13) assuming t is positive.\n' | b't**(-1116/65)\n' | b'Simplify (((t/t**3)/t)**(31/5))**(12/13) assuming t is positive.\n' | b't**(-1116/65)\n' | deepmind/math_dataset |
b'Let b(l) be the second derivative of -4*l**7/21 - 49*l**4 - l - 237. What is the third derivative of b(w) wrt w?\n' | b'-480*w**2\n' | b'Let b(l) be the second derivative of -4*l**7/21 - 49*l**4 - l - 237. What is the third derivative of b(w) wrt w?\n' | b'-480*w**2\n' | deepmind/math_dataset |
b'Let b be -6*3*(-3)/18. Let u(d) = 4*d - 7*d + d + b*d - 9. What is u(4)?\n' | b'-5\n' | b'Let b be -6*3*(-3)/18. Let u(d) = 4*d - 7*d + d + b*d - 9. What is u(4)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(l) = 16*l + 226. Let v be p(-14). Solve -5*j = -v*m - 12, -2*m + 4*j = 2*m for m.\n' | b'4\n' | b'Let p(l) = 16*l + 226. Let v be p(-14). Solve -5*j = -v*m - 12, -2*m + 4*j = 2*m for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let i be 30/7 - 6/21. Solve 3*q = -4*m - 4, -4*m + 8*m + 4 = i*q for q.\n' | b'0\n' | b'Let i be 30/7 - 6/21. Solve 3*q = -4*m - 4, -4*m + 8*m + 4 = i*q for q.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 10, a: 2, h: 1, s: 6, d: 1}. Give prob of sequence ashw.\n' | b'1/969\n' | b'Four letters picked without replacement from {w: 10, a: 2, h: 1, s: 6, d: 1}. Give prob of sequence ashw.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let i be ((-576)/168)/((-6)/(-21)). Let d(x) = 2*x**3 + 23*x**2 - 10*x + 17. Give d(i).\n' | b'-7\n' | b'Let i be ((-576)/168)/((-6)/(-21)). Let d(x) = 2*x**3 + 23*x**2 - 10*x + 17. Give d(i).\n' | b'-7\n' | deepmind/math_dataset |
b'Let d(k) be the third derivative of k**4/6 - 7*k**3/6 + 115*k**2. Determine d(7).\n' | b'21\n' | b'Let d(k) be the third derivative of k**4/6 - 7*k**3/6 + 115*k**2. Determine d(7).\n' | b'21\n' | deepmind/math_dataset |
b'Let y be (4 - 3)/((-2)/(-34)). Let k = -12 + y. Solve -10 = 4*n + 5*d - k, -4*d = 4*n + 4 for n.\n' | b'0\n' | b'Let y be (4 - 3)/((-2)/(-34)). Let k = -12 + y. Solve -10 = 4*n + 5*d - k, -4*d = 4*n + 4 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(g) = 998*g**3 + 28*g**2 + 805*g + 1. Let d(p) = -1000*p**3 - 21*p**2 - 806*p - 1. Let v(c) = -4*d(c) - 3*x(c). Find the second derivative of v(a) wrt a.\n' | b'6036*a\n' | b'Let x(g) = 998*g**3 + 28*g**2 + 805*g + 1. Let d(p) = -1000*p**3 - 21*p**2 - 806*p - 1. Let v(c) = -4*d(c) - 3*x(c). Find the second derivative of v(a) wrt a.\n' | b'6036*a\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from {h: 2, y: 2}?\n' | b'1/6\n' | b'What is prob of picking 2 y when two letters picked without replacement from {h: 2, y: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence om when two letters picked without replacement from nonnnmmnnnnmmnmnnnnn.\n' | b'1/76\n' | b'Calculate prob of sequence om when two letters picked without replacement from nonnnmmnnnnmmnmnnnnn.\n' | b'1/76\n' | deepmind/math_dataset |
b'Simplify (((h**(-1/3)*h)/h*h**(-3)/h)/(h**3)**(-15))**(16/3) assuming h is positive.\n' | b'h**(1952/9)\n' | b'Simplify (((h**(-1/3)*h)/h*h**(-3)/h)/(h**3)**(-15))**(16/3) assuming h is positive.\n' | b'h**(1952/9)\n' | deepmind/math_dataset |
b'Suppose 0 = n - 5*l + 15, -3*n + 2*l + 1 - 7 = 0. Solve -2*f - 5*v + v + 26 = n, 3*v = 2*f + 2 for f.\n' | b'5\n' | b'Suppose 0 = n - 5*l + 15, -3*n + 2*l + 1 - 7 = 0. Solve -2*f - 5*v + v + 26 = n, 3*v = 2*f + 2 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (y**(1/3))**(6/13)/((y/((y/(y*(y/(y/(y/(y/(y/(y/((y/y**3)/y)))))*y))/y))/y))/(y*((y**7/y)/y)/y)) assuming y is positive.\n' | b'y**(106/13)\n' | b'Simplify (y**(1/3))**(6/13)/((y/((y/(y*(y/(y/(y/(y/(y/(y/((y/y**3)/y)))))*y))/y))/y))/(y*((y**7/y)/y)/y)) assuming y is positive.\n' | b'y**(106/13)\n' | deepmind/math_dataset |
b'Simplify ((m/m**5)/((m/((((m*m**(-2/5))/m)/m)/m))/m)*(m*m/m**(-1/3)*m)**28)/(((m*m**4*m)/m**(-2/3))/((m*m*m/m**(-2)*m)/(m*m*m**(2/15)))) assuming m is positive.\n' | b'm**(1262/15)\n' | b'Simplify ((m/m**5)/((m/((((m*m**(-2/5))/m)/m)/m))/m)*(m*m/m**(-1/3)*m)**28)/(((m*m**4*m)/m**(-2/3))/((m*m*m/m**(-2)*m)/(m*m*m**(2/15)))) assuming m is positive.\n' | b'm**(1262/15)\n' | deepmind/math_dataset |
b'What is prob of sequence njjn when four letters picked without replacement from {j: 17, n: 2}?\n' | b'1/171\n' | b'What is prob of sequence njjn when four letters picked without replacement from {j: 17, n: 2}?\n' | b'1/171\n' | deepmind/math_dataset |
b'Let f(q) = -2*q - 6. Let n be (-155)/(-4) + 1/4. Suppose -3*h = -h + 8. Let m be (-201)/n + h/(-26). Give f(m).\n' | b'4\n' | b'Let f(q) = -2*q - 6. Let n be (-155)/(-4) + 1/4. Suppose -3*h = -h + 8. Let m be (-201)/n + h/(-26). Give f(m).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((h/h**17)/h)/h*h)/(h/h**(-7)*h)*(h**(1/2)*h)/h**21 assuming h is positive.\n' | b'h**(-91/2)\n' | b'Simplify (((h/h**17)/h)/h*h)/(h/h**(-7)*h)*(h**(1/2)*h)/h**21 assuming h is positive.\n' | b'h**(-91/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 5, z: 8}. What is prob of sequence tz?\n' | b'10/39\n' | b'Two letters picked without replacement from {t: 5, z: 8}. What is prob of sequence tz?\n' | b'10/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 1 m when three letters picked without replacement from nmkmmnnmkmkk.\n' | b'3/22\n' | b'Calculate prob of picking 2 k and 1 m when three letters picked without replacement from nmkmmnnmkmkk.\n' | b'3/22\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {q: 1, y: 1, d: 7}.\n' | b'7/36\n' | b'Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {q: 1, y: 1, d: 7}.\n' | b'7/36\n' | deepmind/math_dataset |
b'What is prob of sequence sofo when four letters picked without replacement from {k: 2, m: 4, f: 7, o: 6, s: 1}?\n' | b'7/3876\n' | b'What is prob of sequence sofo when four letters picked without replacement from {k: 2, m: 4, f: 7, o: 6, s: 1}?\n' | b'7/3876\n' | deepmind/math_dataset |
b'Let k(c) be the first derivative of 2733*c**2/2 - 111*c + 2673. Differentiate k(n) wrt n.\n' | b'2733\n' | b'Let k(c) be the first derivative of 2733*c**2/2 - 111*c + 2673. Differentiate k(n) wrt n.\n' | b'2733\n' | deepmind/math_dataset |
b'Let j = -88 + 82. Let w be (-16)/j + 76/57. Let l(c) = -c**3 + 3*c**2 + 6*c - 4. What is l(w)?\n' | b'4\n' | b'Let j = -88 + 82. Let w be (-16)/j + 76/57. Let l(c) = -c**3 + 3*c**2 + 6*c - 4. What is l(w)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ol when two letters picked without replacement from kkkddksol.\n' | b'1/72\n' | b'Calculate prob of sequence ol when two letters picked without replacement from kkkddksol.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let j(s) be the second derivative of 2*s**7/21 + 4*s**6/15 + 2*s**3 + 3*s**2/2 - 20*s. What is the second derivative of j(t) wrt t?\n' | b'80*t**3 + 96*t**2\n' | b'Let j(s) be the second derivative of 2*s**7/21 + 4*s**6/15 + 2*s**3 + 3*s**2/2 - 20*s. What is the second derivative of j(t) wrt t?\n' | b'80*t**3 + 96*t**2\n' | deepmind/math_dataset |
b'Let w(p) be the first derivative of 7*p**2 + 0*p**3 + 0*p**4 + 2/5*p**5 - 6 + 0*p. Find the second derivative of w(z) wrt z.\n' | b'24*z**2\n' | b'Let w(p) be the first derivative of 7*p**2 + 0*p**3 + 0*p**4 + 2/5*p**5 - 6 + 0*p. Find the second derivative of w(z) wrt z.\n' | b'24*z**2\n' | deepmind/math_dataset |
b'Let q(a) = 4*a + 64. Let o be q(-15). Let l = -8 + 13. Solve -4*y + l = 3*p, o + 2 = 2*p + 4*y for p.\n' | b'-1\n' | b'Let q(a) = 4*a + 64. Let o be q(-15). Let l = -8 + 13. Solve -4*y + l = 3*p, o + 2 = 2*p + 4*y for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (f**(-7)/f)**4*(f*f**(1/31))/(f*f*f**(-4)*f*f*f) assuming f is positive.\n' | b'f**(-991/31)\n' | b'Simplify (f**(-7)/f)**4*(f*f**(1/31))/(f*f*f**(-4)*f*f*f) assuming f is positive.\n' | b'f**(-991/31)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nxx when three letters picked without replacement from xonnn.\n' | b'0\n' | b'Calculate prob of sequence nxx when three letters picked without replacement from xonnn.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(f) = 14*f**5 + 2*f**4 + 2*f**3 - f - 2. Let b(o) = 14*o**5 + 3*o**4 + 3*o**3 - 3. Let v(i) = -2*b(i) + 3*y(i). Find the second derivative of v(j) wrt j.\n' | b'280*j**3\n' | b'Let y(f) = 14*f**5 + 2*f**4 + 2*f**3 - f - 2. Let b(o) = 14*o**5 + 3*o**4 + 3*o**3 - 3. Let v(i) = -2*b(i) + 3*y(i). Find the second derivative of v(j) wrt j.\n' | b'280*j**3\n' | deepmind/math_dataset |
b'Let z(g) = -g**2. Let o(w) = 5*w**3 - 26*w**2. Let l(j) = o(j) - 5*z(j). What is the third derivative of l(y) wrt y?\n' | b'30\n' | b'Let z(g) = -g**2. Let o(w) = 5*w**3 - 26*w**2. Let l(j) = o(j) - 5*z(j). What is the third derivative of l(y) wrt y?\n' | b'30\n' | deepmind/math_dataset |
b'Let a be 266/21 - (-2)/6. Suppose 4*z - a = -1. Find the second derivative of -4*d**3 + 4*d - 3*d - d**z - 2*d wrt d.\n' | b'-30*d\n' | b'Let a be 266/21 - (-2)/6. Suppose 4*z - a = -1. Find the second derivative of -4*d**3 + 4*d - 3*d - d**z - 2*d wrt d.\n' | b'-30*d\n' | deepmind/math_dataset |
b'Let z = -36 + 40. Let i(y) = -y**2 + 7*y - 9. Let h be i(z). Find the second derivative of -5*r**2 + 32*r + 3*r**2 - 3*r**2 - h*r wrt r.\n' | b'-10\n' | b'Let z = -36 + 40. Let i(y) = -y**2 + 7*y - 9. Let h be i(z). Find the second derivative of -5*r**2 + 32*r + 3*r**2 - 3*r**2 - h*r wrt r.\n' | b'-10\n' | deepmind/math_dataset |
b'Let b(i) be the third derivative of 3*i**6/5 - i**5/30 - 5*i**3/6 - 100*i**2. Find the third derivative of b(l) wrt l.\n' | b'432\n' | b'Let b(i) be the third derivative of 3*i**6/5 - i**5/30 - 5*i**3/6 - 100*i**2. Find the third derivative of b(l) wrt l.\n' | b'432\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, i: 1, v: 1, n: 1, b: 2}. Give prob of sequence ibvn.\n' | b'1/420\n' | b'Four letters picked without replacement from {u: 2, i: 1, v: 1, n: 1, b: 2}. Give prob of sequence ibvn.\n' | b'1/420\n' | deepmind/math_dataset |
b'What is prob of sequence zoo when three letters picked without replacement from zooz?\n' | b'1/6\n' | b'What is prob of sequence zoo when three letters picked without replacement from zooz?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ert when three letters picked without replacement from qerrrqeqcetqq.\n' | b'3/572\n' | b'Calculate prob of sequence ert when three letters picked without replacement from qerrrqeqcetqq.\n' | b'3/572\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {g: 6, l: 2, m: 3, j: 2, o: 1, b: 5}.\n' | b'5/969\n' | b'Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {g: 6, l: 2, m: 3, j: 2, o: 1, b: 5}.\n' | b'5/969\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 1 g when three letters picked without replacement from dggtdddtdtddgttdg?\n' | b'14/85\n' | b'What is prob of picking 2 d and 1 g when three letters picked without replacement from dggtdddtdtddgttdg?\n' | b'14/85\n' | deepmind/math_dataset |
b'Three letters picked without replacement from enmgjgn. Give prob of picking 1 g, 1 j, and 1 e.\n' | b'2/35\n' | b'Three letters picked without replacement from enmgjgn. Give prob of picking 1 g, 1 j, and 1 e.\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence twwh when four letters picked without replacement from {z: 2, w: 6, y: 1, b: 1, h: 4, t: 1}.\n' | b'1/273\n' | b'Calculate prob of sequence twwh when four letters picked without replacement from {z: 2, w: 6, y: 1, b: 1, h: 4, t: 1}.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let c(d) = d**2 - 9*d + 8. Let r be c(8). Suppose 27 + 45 = 6*s. Suppose r*p + 3*p - s = 0. Solve 5*t - 2*l = l - 22, -2*t - 6 = -p*l for t.\n' | b'-5\n' | b'Let c(d) = d**2 - 9*d + 8. Let r be c(8). Suppose 27 + 45 = 6*s. Suppose r*p + 3*p - s = 0. Solve 5*t - 2*l = l - 22, -2*t - 6 = -p*l for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooykkoo. Give prob of sequence oky.\n' | b'4/105\n' | b'Three letters picked without replacement from ooykkoo. Give prob of sequence oky.\n' | b'4/105\n' | deepmind/math_dataset |
b'Suppose -3*p - 2*i = -29, 4*p - 1 - 7 = 5*i. Differentiate -5*t - 4 + 12 + 0*t - p*t with respect to t.\n' | b'-12\n' | b'Suppose -3*p - 2*i = -29, 4*p - 1 - 7 = 5*i. Differentiate -5*t - 4 + 12 + 0*t - p*t with respect to t.\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (k**(-1/40)*k)**(-3/10)*k**(-11/7)*k*k*k**(-1/16) assuming k is positive.\n' | b'k**(103/1400)\n' | b'Simplify (k**(-1/40)*k)**(-3/10)*k**(-11/7)*k*k*k**(-1/16) assuming k is positive.\n' | b'k**(103/1400)\n' | deepmind/math_dataset |
b'Simplify (s**(-2/5)/s)**(1/8)/(s**4/((s*s**3/s*s*s)/s))*(s**(1/11)/s*s)/s**(2/5)*s**(1/7)/s*s*s**2 assuming s is positive.\n' | b's**(5109/3080)\n' | b'Simplify (s**(-2/5)/s)**(1/8)/(s**4/((s*s**3/s*s*s)/s))*(s**(1/11)/s*s)/s**(2/5)*s**(1/7)/s*s*s**2 assuming s is positive.\n' | b's**(5109/3080)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, q: 2, i: 4}. Give prob of picking 2 i.\n' | b'3/14\n' | b'Two letters picked without replacement from {c: 2, q: 2, i: 4}. Give prob of picking 2 i.\n' | b'3/14\n' | deepmind/math_dataset |
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