question
stringlengths 40
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stringlengths 6
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stringlengths 40
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|---|---|---|---|---|
b'Suppose 11 = -5*k + 31. Suppose 0 = -w + 4*w + 2*a - 60, 80 = k*w - a. Solve 0*i + 2*i = 3*g - w, -8 = -i - 3*g for i.\n'
|
b'-4\n'
|
b'Suppose 11 = -5*k + 31. Suppose 0 = -w + 4*w + 2*a - 60, 80 = k*w - a. Solve 0*i + 2*i = 3*g - w, -8 = -i - 3*g for i.\n'
|
b'-4\n'
|
deepmind/math_dataset
|
b'Let x(y) = y**3 + 4*y - 11 + y**2 + 12 - 3*y. Let z(p) = -5*p**3 - 2*p**2 - 15*p - 2. Let c(s) = -2*x(s) - z(s). What is the second derivative of c(r) wrt r?\n'
|
b'18*r\n'
|
b'Let x(y) = y**3 + 4*y - 11 + y**2 + 12 - 3*y. Let z(p) = -5*p**3 - 2*p**2 - 15*p - 2. Let c(s) = -2*x(s) - z(s). What is the second derivative of c(r) wrt r?\n'
|
b'18*r\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {h: 1, x: 1, u: 1, o: 2}. Give prob of picking 1 h and 1 x.\n'
|
b'1/10\n'
|
b'Two letters picked without replacement from {h: 1, x: 1, u: 1, o: 2}. Give prob of picking 1 h and 1 x.\n'
|
b'1/10\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {x: 5, t: 3, s: 4}. Give prob of sequence xsts.\n'
|
b'1/66\n'
|
b'Four letters picked without replacement from {x: 5, t: 3, s: 4}. Give prob of sequence xsts.\n'
|
b'1/66\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {x: 1, g: 2, n: 2, j: 14}. Give prob of picking 1 g, 2 n, and 1 j.\n'
|
b'7/969\n'
|
b'Four letters picked without replacement from {x: 1, g: 2, n: 2, j: 14}. Give prob of picking 1 g, 2 n, and 1 j.\n'
|
b'7/969\n'
|
deepmind/math_dataset
|
b'Let k(p) = 2*p + 7. Let s be k(-6). Let v(c) = c**3 + 4*c**2 - 2*c - 2. Calculate v(s).\n'
|
b'-17\n'
|
b'Let k(p) = 2*p + 7. Let s be k(-6). Let v(c) = c**3 + 4*c**2 - 2*c - 2. Calculate v(s).\n'
|
b'-17\n'
|
deepmind/math_dataset
|
b'Let k(w) be the second derivative of w**7/420 + w**5/24 + 5*w**3/6 - 5*w. Let r(h) be the second derivative of k(h). Find the second derivative of r(p) wrt p.\n'
|
b'12*p\n'
|
b'Let k(w) be the second derivative of w**7/420 + w**5/24 + 5*w**3/6 - 5*w. Let r(h) be the second derivative of k(h). Find the second derivative of r(p) wrt p.\n'
|
b'12*p\n'
|
deepmind/math_dataset
|
b'Suppose -80 = 16*t - 11*t. Let o = -11 - t. Differentiate 11 + 5 - 9*p - o wrt p.\n'
|
b'-9\n'
|
b'Suppose -80 = 16*t - 11*t. Let o = -11 - t. Differentiate 11 + 5 - 9*p - o wrt p.\n'
|
b'-9\n'
|
deepmind/math_dataset
|
b'What is prob of sequence dd when two letters picked without replacement from ccdcd?\n'
|
b'1/10\n'
|
b'What is prob of sequence dd when two letters picked without replacement from ccdcd?\n'
|
b'1/10\n'
|
deepmind/math_dataset
|
b'Simplify ((l/(l/l**5))/(l*(l*(l/l**(2/9))/l*l*l)/l*l*l))**(6/17) assuming l is positive.\n'
|
b'l**(4/51)\n'
|
b'Simplify ((l/(l/l**5))/(l*(l*(l/l**(2/9))/l*l*l)/l*l*l))**(6/17) assuming l is positive.\n'
|
b'l**(4/51)\n'
|
deepmind/math_dataset
|
b'Let x(i) be the first derivative of 55*i**2/2 + 31*i + 101. Find the first derivative of x(v) wrt v.\n'
|
b'55\n'
|
b'Let x(i) be the first derivative of 55*i**2/2 + 31*i + 101. Find the first derivative of x(v) wrt v.\n'
|
b'55\n'
|
deepmind/math_dataset
|
b'Let j(q) = 48*q + 4086. Let m be j(-84). Solve 5*u - 4*a - 2 = 0, -3*u + a - m = -58 for u.\n'
|
b'2\n'
|
b'Let j(q) = 48*q + 4086. Let m be j(-84). Solve 5*u - 4*a - 2 = 0, -3*u + a - m = -58 for u.\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let c = -10 + 5. Let a be 1/(-2) + c/(-2). Suppose -a*x - 3 = x. Let l(w) = 11*w + 1. Determine l(x).\n'
|
b'-10\n'
|
b'Let c = -10 + 5. Let a be 1/(-2) + c/(-2). Suppose -a*x - 3 = x. Let l(w) = 11*w + 1. Determine l(x).\n'
|
b'-10\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 3 u when three letters picked without replacement from {y: 12, c: 1, u: 5}.\n'
|
b'5/408\n'
|
b'Calculate prob of picking 3 u when three letters picked without replacement from {y: 12, c: 1, u: 5}.\n'
|
b'5/408\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {t: 1, n: 7}. Give prob of picking 1 t and 2 n.\n'
|
b'3/8\n'
|
b'Three letters picked without replacement from {t: 1, n: 7}. Give prob of picking 1 t and 2 n.\n'
|
b'3/8\n'
|
deepmind/math_dataset
|
b'What is prob of sequence ss when two letters picked without replacement from sbsbsbsssb?\n'
|
b'1/3\n'
|
b'What is prob of sequence ss when two letters picked without replacement from sbsbsbsssb?\n'
|
b'1/3\n'
|
deepmind/math_dataset
|
b'Let g(s) be the first derivative of s**7/7 + 17*s**3/3 + 11. What is the third derivative of g(o) wrt o?\n'
|
b'120*o**3\n'
|
b'Let g(s) be the first derivative of s**7/7 + 17*s**3/3 + 11. What is the third derivative of g(o) wrt o?\n'
|
b'120*o**3\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence ygrk when four letters picked without replacement from hykgmrg.\n'
|
b'1/420\n'
|
b'Calculate prob of sequence ygrk when four letters picked without replacement from hykgmrg.\n'
|
b'1/420\n'
|
deepmind/math_dataset
|
b'Let m(n) be the second derivative of 2*n**6/15 + n**4/3 - 35*n**2 + 818*n. Find the third derivative of m(v) wrt v.\n'
|
b'96*v\n'
|
b'Let m(n) be the second derivative of 2*n**6/15 + n**4/3 - 35*n**2 + 818*n. Find the third derivative of m(v) wrt v.\n'
|
b'96*v\n'
|
deepmind/math_dataset
|
b'Let i(w) = 10*w**2 - 13*w + 27. Let x be i(3). What is the third derivative of -10*b**6 + 65*b**2 - 95 + 95 + x*b**6 wrt b?\n'
|
b'8160*b**3\n'
|
b'Let i(w) = 10*w**2 - 13*w + 27. Let x be i(3). What is the third derivative of -10*b**6 + 65*b**2 - 95 + 95 + x*b**6 wrt b?\n'
|
b'8160*b**3\n'
|
deepmind/math_dataset
|
b'Let o(x) be the second derivative of -1/3*x**3 + 1/12*x**4 - x**2 + 53*x - 1/5*x**5 - 2. Calculate o(-2).\n'
|
b'38\n'
|
b'Let o(x) be the second derivative of -1/3*x**3 + 1/12*x**4 - x**2 + 53*x - 1/5*x**5 - 2. Calculate o(-2).\n'
|
b'38\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence bb when two letters picked without replacement from {q: 3, i: 1, o: 1, b: 2, z: 5}.\n'
|
b'1/66\n'
|
b'Calculate prob of sequence bb when two letters picked without replacement from {q: 3, i: 1, o: 1, b: 2, z: 5}.\n'
|
b'1/66\n'
|
deepmind/math_dataset
|
b'Let w(y) = -10 + 69 - 71 - y. What is w(6)?\n'
|
b'-18\n'
|
b'Let w(y) = -10 + 69 - 71 - y. What is w(6)?\n'
|
b'-18\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {l: 3, j: 4, p: 6}. What is prob of sequence pjjp?\n'
|
b'3/143\n'
|
b'Four letters picked without replacement from {l: 3, j: 4, p: 6}. What is prob of sequence pjjp?\n'
|
b'3/143\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from edyededd. What is prob of picking 1 d and 1 e?\n'
|
b'3/7\n'
|
b'Two letters picked without replacement from edyededd. What is prob of picking 1 d and 1 e?\n'
|
b'3/7\n'
|
deepmind/math_dataset
|
b'Simplify (q**(-2)/(q*q**6*q))**(-44)*(q**(-2)*q*q/(q**(-2)*q))/(q/((q*q*q**0)/q))**(-27) assuming q is positive.\n'
|
b'q**441\n'
|
b'Simplify (q**(-2)/(q*q**6*q))**(-44)*(q**(-2)*q*q/(q**(-2)*q))/(q/((q*q*q**0)/q))**(-27) assuming q is positive.\n'
|
b'q**441\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {l: 2, t: 1, e: 1, j: 1, f: 1, x: 1}. Give prob of sequence jl.\n'
|
b'1/21\n'
|
b'Two letters picked without replacement from {l: 2, t: 1, e: 1, j: 1, f: 1, x: 1}. Give prob of sequence jl.\n'
|
b'1/21\n'
|
deepmind/math_dataset
|
b'Let h(k) = 1 + 0*k**2 + 2 - 1 + 5*k - k**2. Give h(5).\n'
|
b'2\n'
|
b'Let h(k) = 1 + 0*k**2 + 2 - 1 + 5*k - k**2. Give h(5).\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let k(d) = -d**2 - 2*d. Let m be k(-2). Solve -2*n + 5*q + 20 - 55 = m, -4*n - 3*q - 5 = 0 for n.\n'
|
b'-5\n'
|
b'Let k(d) = -d**2 - 2*d. Let m be k(-2). Solve -2*n + 5*q + 20 - 55 = m, -4*n - 3*q - 5 = 0 for n.\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Simplify u**(20/11)/(u*u*u*u*(u/u**(12/5)*u)/u*u*u*u*u*u) assuming u is positive.\n'
|
b'u**(-318/55)\n'
|
b'Simplify u**(20/11)/(u*u*u*u*(u/u**(12/5)*u)/u*u*u*u*u*u) assuming u is positive.\n'
|
b'u**(-318/55)\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from ddyuvddmdvvem. What is prob of sequence md?\n'
|
b'5/78\n'
|
b'Two letters picked without replacement from ddyuvddmdvvem. What is prob of sequence md?\n'
|
b'5/78\n'
|
deepmind/math_dataset
|
b'What is prob of picking 2 x and 1 y when three letters picked without replacement from {x: 3, y: 2}?\n'
|
b'3/5\n'
|
b'What is prob of picking 2 x and 1 y when three letters picked without replacement from {x: 3, y: 2}?\n'
|
b'3/5\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from llaoosglgo. What is prob of sequence ga?\n'
|
b'1/45\n'
|
b'Two letters picked without replacement from llaoosglgo. What is prob of sequence ga?\n'
|
b'1/45\n'
|
deepmind/math_dataset
|
b'Simplify (v**(-7/5))**(31/3)*v*v*v**(2/55)*v*v*v/(v*v*v*v/(((v/(v*v*v**0))/v*v)/v))*v*v*v*v assuming v is positive.\n'
|
b'v**(-1886/165)\n'
|
b'Simplify (v**(-7/5))**(31/3)*v*v*v**(2/55)*v*v*v/(v*v*v*v/(((v/(v*v*v**0))/v*v)/v))*v*v*v*v assuming v is positive.\n'
|
b'v**(-1886/165)\n'
|
deepmind/math_dataset
|
b'Let y be (-9)/(-6)*5/3*8. Solve y = -5*n, 0*s - 3*s = -3*n - 18 for s.\n'
|
b'2\n'
|
b'Let y be (-9)/(-6)*5/3*8. Solve y = -5*n, 0*s - 3*s = -3*n - 18 for s.\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let k(v) = -v**3 + 9*v**2 + 110*v + 7. Let w be k(-7). Suppose w - 48 = -d. Solve -2*o - 5*j + d = 0, -4*j = -4*o + j - 21 for o.\n'
|
b'1\n'
|
b'Let k(v) = -v**3 + 9*v**2 + 110*v + 7. Let w be k(-7). Suppose w - 48 = -d. Solve -2*o - 5*j + d = 0, -4*j = -4*o + j - 21 for o.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Suppose x = 3*x - 4. Suppose -n = n - x. Let q be 1*(n + -13)/(-3). Solve 0 = 5*h - 4*i + 13, i = -h - q*i + 9 for h.\n'
|
b'-1\n'
|
b'Suppose x = 3*x - 4. Suppose -n = n - x. Let q be 1*(n + -13)/(-3). Solve 0 = 5*h - 4*i + 13, i = -h - q*i + 9 for h.\n'
|
b'-1\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 m and 3 r when four letters picked without replacement from {m: 5, r: 8}?\n'
|
b'56/143\n'
|
b'What is prob of picking 1 m and 3 r when four letters picked without replacement from {m: 5, r: 8}?\n'
|
b'56/143\n'
|
deepmind/math_dataset
|
b'Suppose -6*o - 237 = -219. Let d(l) = -12*l - 2. Give d(o).\n'
|
b'34\n'
|
b'Suppose -6*o - 237 = -219. Let d(l) = -12*l - 2. Give d(o).\n'
|
b'34\n'
|
deepmind/math_dataset
|
b'Let w = 10285 - 10280. Solve 0 = -4*f + 12, f + 3*f - 32 = -w*m for m.\n'
|
b'4\n'
|
b'Let w = 10285 - 10280. Solve 0 = -4*f + 12, f + 3*f - 32 = -w*m for m.\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Simplify ((g**(-2/9))**(-2))**(17/3)*g**(2/7)/(g/(((g*g*g**(2/21)*g*g)/g)/g*g))*(g*g/(g*(g/g**(4/5))/g))/g*g*g**5/g assuming g is positive.\n'
|
b'g**(10111/945)\n'
|
b'Simplify ((g**(-2/9))**(-2))**(17/3)*g**(2/7)/(g/(((g*g*g**(2/21)*g*g)/g)/g*g))*(g*g/(g*(g/g**(4/5))/g))/g*g*g**5/g assuming g is positive.\n'
|
b'g**(10111/945)\n'
|
deepmind/math_dataset
|
b'Let a = -1676 + 1680. Solve -8 = -a*n, -4*t + 3*n = 6*n - 2 for t.\n'
|
b'-1\n'
|
b'Let a = -1676 + 1680. Solve -8 = -a*n, -4*t + 3*n = 6*n - 2 for t.\n'
|
b'-1\n'
|
deepmind/math_dataset
|
b'Suppose -47 = -2*r + i + 19, 0 = -2*r - 4*i + 56. Suppose 0 = -31*a + 35*a - r. Let x be a + (-1*4 - (2 - 4)). Solve -k = 3*u + 18, -u - x = 4*k + 11 for u.\n'
|
b'-5\n'
|
b'Suppose -47 = -2*r + i + 19, 0 = -2*r - 4*i + 56. Suppose 0 = -31*a + 35*a - r. Let x be a + (-1*4 - (2 - 4)). Solve -k = 3*u + 18, -u - x = 4*k + 11 for u.\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from yuuhkuquuhuuuquhy. Give prob of picking 1 k, 1 u, 1 y, and 1 h.\n'
|
b'27/1190\n'
|
b'Four letters picked without replacement from yuuhkuquuhuuuquhy. Give prob of picking 1 k, 1 u, 1 y, and 1 h.\n'
|
b'27/1190\n'
|
deepmind/math_dataset
|
b'Let r be 5*(-1)/(-1) - 0. Suppose -25 = -5*v + 2*b, 3*b = -b - 20. Let y(a) = -2*a + v + 0 + 0. Give y(r).\n'
|
b'-7\n'
|
b'Let r be 5*(-1)/(-1) - 0. Suppose -25 = -5*v + 2*b, 3*b = -b - 20. Let y(a) = -2*a + v + 0 + 0. Give y(r).\n'
|
b'-7\n'
|
deepmind/math_dataset
|
b'What is prob of sequence dvkv when four letters picked without replacement from {q: 3, v: 5, k: 3, d: 2}?\n'
|
b'1/143\n'
|
b'What is prob of sequence dvkv when four letters picked without replacement from {q: 3, v: 5, k: 3, d: 2}?\n'
|
b'1/143\n'
|
deepmind/math_dataset
|
b'Let y = -331 - -336. Let r = -4 - -3. Let j be y - r - 2/2. Solve -j*t + 9 = -3*s, 2*t = 2*s + 4*t + 6 for s.\n'
|
b'-3\n'
|
b'Let y = -331 - -336. Let r = -4 - -3. Let j be y - r - 2/2. Solve -j*t + 9 = -3*s, 2*t = 2*s + 4*t + 6 for s.\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let n be 5/(-4) - (-175)/28. Solve -5*q - 2*v - 23 = 0, v = 3*q - 0*v + n for q.\n'
|
b'-3\n'
|
b'Let n be 5/(-4) - (-175)/28. Solve -5*q - 2*v - 23 = 0, v = 3*q - 0*v + n for q.\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let i(u) be the second derivative of 311*u**6/15 - 4525*u**2/2 + 1747*u. What is the derivative of i(k) wrt k?\n'
|
b'2488*k**3\n'
|
b'Let i(u) be the second derivative of 311*u**6/15 - 4525*u**2/2 + 1747*u. What is the derivative of i(k) wrt k?\n'
|
b'2488*k**3\n'
|
deepmind/math_dataset
|
b'What is prob of sequence mvv when three letters picked without replacement from {w: 2, f: 4, l: 3, m: 6, p: 1, v: 2}?\n'
|
b'1/408\n'
|
b'What is prob of sequence mvv when three letters picked without replacement from {w: 2, f: 4, l: 3, m: 6, p: 1, v: 2}?\n'
|
b'1/408\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence ss when two letters picked without replacement from {h: 2, s: 3}.\n'
|
b'3/10\n'
|
b'Calculate prob of sequence ss when two letters picked without replacement from {h: 2, s: 3}.\n'
|
b'3/10\n'
|
deepmind/math_dataset
|
b'Let x(n) = -30294*n**2 + 6702*n + 57. Let w(m) = -5048*m**2 + 1117*m + 9. Let a(z) = -19*w(z) + 3*x(z). What is the second derivative of a(c) wrt c?\n'
|
b'10060\n'
|
b'Let x(n) = -30294*n**2 + 6702*n + 57. Let w(m) = -5048*m**2 + 1117*m + 9. Let a(z) = -19*w(z) + 3*x(z). What is the second derivative of a(c) wrt c?\n'
|
b'10060\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from cirrvimjm. Give prob of sequence rcv.\n'
|
b'1/252\n'
|
b'Three letters picked without replacement from cirrvimjm. Give prob of sequence rcv.\n'
|
b'1/252\n'
|
deepmind/math_dataset
|
b'Let c(p) = 9*p**2 - 14. Let q(z) = -6 + 524*z**2 + 515*z**2 - 1035*z**2 - z. Let m(h) = -3*c(h) + 7*q(h). Give m(8).\n'
|
b'8\n'
|
b'Let c(p) = 9*p**2 - 14. Let q(z) = -6 + 524*z**2 + 515*z**2 - 1035*z**2 - z. Let m(h) = -3*c(h) + 7*q(h). Give m(8).\n'
|
b'8\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from hheehuehuv. Give prob of picking 1 v and 2 h.\n'
|
b'1/20\n'
|
b'Three letters picked without replacement from hheehuehuv. Give prob of picking 1 v and 2 h.\n'
|
b'1/20\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence toof when four letters picked without replacement from tfrfotrftorttftftft.\n'
|
b'1/969\n'
|
b'Calculate prob of sequence toof when four letters picked without replacement from tfrfotrftorttftftft.\n'
|
b'1/969\n'
|
deepmind/math_dataset
|
b'Let m(i) be the second derivative of -i**4/12 - 3*i**2/2 + 3*i. Differentiate m(l) with respect to l.\n'
|
b'-2*l\n'
|
b'Let m(i) be the second derivative of -i**4/12 - 3*i**2/2 + 3*i. Differentiate m(l) with respect to l.\n'
|
b'-2*l\n'
|
deepmind/math_dataset
|
b'Let o(q) = q**2 + 5*q - 3. Let s be (-10)/6*-1*(-24)/8. Give o(s).\n'
|
b'-3\n'
|
b'Let o(q) = q**2 + 5*q - 3. Let s be (-10)/6*-1*(-24)/8. Give o(s).\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let t(m) = 3*m + 1. Suppose -3*j = -0*j - 60. Let o be 44/j - 1/5. Give t(o).\n'
|
b'7\n'
|
b'Let t(m) = 3*m + 1. Suppose -3*j = -0*j - 60. Let o be 44/j - 1/5. Give t(o).\n'
|
b'7\n'
|
deepmind/math_dataset
|
b'What is prob of sequence tv when two letters picked without replacement from {v: 1, y: 1, t: 1}?\n'
|
b'1/6\n'
|
b'What is prob of sequence tv when two letters picked without replacement from {v: 1, y: 1, t: 1}?\n'
|
b'1/6\n'
|
deepmind/math_dataset
|
b'Simplify (g*g*g*g/g**10*g**(-3/13))**(-1) assuming g is positive.\n'
|
b'g**(81/13)\n'
|
b'Simplify (g*g*g*g/g**10*g**(-3/13))**(-1) assuming g is positive.\n'
|
b'g**(81/13)\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence ujjy when four letters picked without replacement from {j: 2, y: 1, u: 1}.\n'
|
b'1/12\n'
|
b'Calculate prob of sequence ujjy when four letters picked without replacement from {j: 2, y: 1, u: 1}.\n'
|
b'1/12\n'
|
deepmind/math_dataset
|
b'Simplify ((m/(m/(m*(m*m**(1/5))/m)))**(1/5))**(-6/37) assuming m is positive.\n'
|
b'm**(-36/925)\n'
|
b'Simplify ((m/(m/(m*(m*m**(1/5))/m)))**(1/5))**(-6/37) assuming m is positive.\n'
|
b'm**(-36/925)\n'
|
deepmind/math_dataset
|
b'Let v be -3 + 2 + -1*1. Suppose f + 3 = -s + 4*f, 0 = 5*s - 4*f - 7. Let m(b) = 2*b**s + 1 - 3*b**3 + 0 - 2*b - 2*b**2. Give m(v).\n'
|
b'5\n'
|
b'Let v be -3 + 2 + -1*1. Suppose f + 3 = -s + 4*f, 0 = 5*s - 4*f - 7. Let m(b) = 2*b**s + 1 - 3*b**3 + 0 - 2*b - 2*b**2. Give m(v).\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 l, 1 s, and 1 v when three letters picked without replacement from {w: 1, l: 6, g: 2, s: 3, v: 2, u: 6}?\n'
|
b'3/95\n'
|
b'What is prob of picking 1 l, 1 s, and 1 v when three letters picked without replacement from {w: 1, l: 6, g: 2, s: 3, v: 2, u: 6}?\n'
|
b'3/95\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {a: 9, e: 9}. What is prob of sequence aee?\n'
|
b'9/68\n'
|
b'Three letters picked without replacement from {a: 9, e: 9}. What is prob of sequence aee?\n'
|
b'9/68\n'
|
deepmind/math_dataset
|
b'What is the derivative of -34*w**2 + 83*w**2 - 37 - 32*w**2 wrt w?\n'
|
b'34*w\n'
|
b'What is the derivative of -34*w**2 + 83*w**2 - 37 - 32*w**2 wrt w?\n'
|
b'34*w\n'
|
deepmind/math_dataset
|
b'Let k be (0 - 0)/(-2)*-1. Suppose -717 + 825 = 18*r. Solve -2*u - 3*p + 5 = -0*p, k = 2*u + 4*p - r for u.\n'
|
b'1\n'
|
b'Let k be (0 - 0)/(-2)*-1. Suppose -717 + 825 = 18*r. Solve -2*u - 3*p + 5 = -0*p, k = 2*u + 4*p - r for u.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Simplify (((q/((q/(q**(2/23)*q))/q))/q)/q*q*q**(-1/5)*q**(-2/3)*q**(-1/3)*q*q)/((q*q*q*q**(-4))**(2/23))**(8/5) assuming q is positive.\n'
|
b'q**(233/115)\n'
|
b'Simplify (((q/((q/(q**(2/23)*q))/q))/q)/q*q*q**(-1/5)*q**(-2/3)*q**(-1/3)*q*q)/((q*q*q*q**(-4))**(2/23))**(8/5) assuming q is positive.\n'
|
b'q**(233/115)\n'
|
deepmind/math_dataset
|
b'Let m = 13977 + -41930/3. Let g(c) be the first derivative of -m*c**3 - 5/2*c**2 + c - 39. Determine g(-4).\n'
|
b'5\n'
|
b'Let m = 13977 + -41930/3. Let g(c) be the first derivative of -m*c**3 - 5/2*c**2 + c - 39. Determine g(-4).\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Suppose -3*o + 43 = -53. Solve 3*h - 4*p + 1 = 0, 2*h - 3*p = 6*h - o for h.\n'
|
b'5\n'
|
b'Suppose -3*o + 43 = -53. Solve 3*h - 4*p + 1 = 0, 2*h - 3*p = 6*h - o for h.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Let g(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 1 + 1/3*h**3 + 1/3*h**6 + 0*h**4. Find the third derivative of g(q) wrt q.\n'
|
b'120*q**2\n'
|
b'Let g(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 1 + 1/3*h**3 + 1/3*h**6 + 0*h**4. Find the third derivative of g(q) wrt q.\n'
|
b'120*q**2\n'
|
deepmind/math_dataset
|
b'Let y(k) = -k**2 + 8*k - 6. Let o = -16 - -22. Let h be y(o). What is the third derivative of -h + 6 - 3*v**2 + 2*v**5 wrt v?\n'
|
b'120*v**2\n'
|
b'Let y(k) = -k**2 + 8*k - 6. Let o = -16 - -22. Let h be y(o). What is the third derivative of -h + 6 - 3*v**2 + 2*v**5 wrt v?\n'
|
b'120*v**2\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {d: 5, e: 14}. Give prob of picking 2 e and 1 d.\n'
|
b'455/969\n'
|
b'Three letters picked without replacement from {d: 5, e: 14}. Give prob of picking 2 e and 1 d.\n'
|
b'455/969\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from khssysshskhssv. What is prob of picking 1 s and 1 k?\n'
|
b'2/13\n'
|
b'Two letters picked without replacement from khssysshskhssv. What is prob of picking 1 s and 1 k?\n'
|
b'2/13\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence ddd when three letters picked without replacement from ddddd.\n'
|
b'1\n'
|
b'Calculate prob of sequence ddd when three letters picked without replacement from ddddd.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let z be (-240)/84 + (2/3)/((-28)/6). Let f(l) = -32*l - 2. Calculate f(z).\n'
|
b'94\n'
|
b'Let z be (-240)/84 + (2/3)/((-28)/6). Let f(l) = -32*l - 2. Calculate f(z).\n'
|
b'94\n'
|
deepmind/math_dataset
|
b'Simplify ((p*p**(1/4)/p)/(p/p**6))/((p*(p/p**3)/p*p)/(p/(p**(-1/9)*p)))*((p*p**(-8))/p**(1/11))**(-23) assuming p is positive.\n'
|
b'p**(67103/396)\n'
|
b'Simplify ((p*p**(1/4)/p)/(p/p**6))/((p*(p/p**3)/p*p)/(p/(p**(-1/9)*p)))*((p*p**(-8))/p**(1/11))**(-23) assuming p is positive.\n'
|
b'p**(67103/396)\n'
|
deepmind/math_dataset
|
b'Simplify (q**(-1/7))**(-1/17)*(q**(1/7))**(-1/2) assuming q is positive.\n'
|
b'q**(-15/238)\n'
|
b'Simplify (q**(-1/7))**(-1/17)*(q**(1/7))**(-1/2) assuming q is positive.\n'
|
b'q**(-15/238)\n'
|
deepmind/math_dataset
|
b'Suppose 3*g + 2*g = 0. Let p = g - -2. Solve -p*x + h = 5, 3*x - 2*x + 4 = 2*h for x.\n'
|
b'-2\n'
|
b'Suppose 3*g + 2*g = 0. Let p = g - -2. Solve -p*x + h = 5, 3*x - 2*x + 4 = 2*h for x.\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from xqqqvxxvqdwwxdqxvd. What is prob of picking 2 d, 1 x, and 1 q?\n'
|
b'5/204\n'
|
b'Four letters picked without replacement from xqqqvxxvqdwwxdqxvd. What is prob of picking 2 d, 1 x, and 1 q?\n'
|
b'5/204\n'
|
deepmind/math_dataset
|
b'Let j(z) = -z**2 - 16*z + 189. Let f be j(8). Let x(d) = -d**3 - 3*d**2 - d + 3. Calculate x(f).\n'
|
b'6\n'
|
b'Let j(z) = -z**2 - 16*z + 189. Let f be j(8). Let x(d) = -d**3 - 3*d**2 - d + 3. Calculate x(f).\n'
|
b'6\n'
|
deepmind/math_dataset
|
b'Let n(t) = -t**2 - 299*t - 2042. Let f be n(-7). Solve 5*i - 13*o + 12*o = 10, -f*i - 13 = 3*o for i.\n'
|
b'1\n'
|
b'Let n(t) = -t**2 - 299*t - 2042. Let f be n(-7). Solve 5*i - 13*o + 12*o = 10, -f*i - 13 = 3*o for i.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let g = 75 - -29. Let c = 109 - g. Solve c*k = 2*w + 4, 3*k - 2*k = 2 for w.\n'
|
b'3\n'
|
b'Let g = 75 - -29. Let c = 109 - g. Solve c*k = 2*w + 4, 3*k - 2*k = 2 for w.\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from rddrrdrdrddrd. Give prob of sequence drr.\n'
|
b'35/286\n'
|
b'Three letters picked without replacement from rddrrdrdrddrd. Give prob of sequence drr.\n'
|
b'35/286\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 2 h when two letters picked without replacement from hhhhhh.\n'
|
b'1\n'
|
b'Calculate prob of picking 2 h when two letters picked without replacement from hhhhhh.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'What is prob of picking 2 n when two letters picked without replacement from nrrnrrrnrnnrr?\n'
|
b'5/39\n'
|
b'What is prob of picking 2 n when two letters picked without replacement from nrrnrrrnrnnrr?\n'
|
b'5/39\n'
|
deepmind/math_dataset
|
b'Simplify (a**(-4)*a)**(14/9) assuming a is positive.\n'
|
b'a**(-14/3)\n'
|
b'Simplify (a**(-4)*a)**(14/9) assuming a is positive.\n'
|
b'a**(-14/3)\n'
|
deepmind/math_dataset
|
b'Simplify ((c/c**7*c)/(c**(-1/4)*c))/(c**3*(c**(-3/7)/c)/c) assuming c is positive.\n'
|
b'c**(-177/28)\n'
|
b'Simplify ((c/c**7*c)/(c**(-1/4)*c))/(c**3*(c**(-3/7)/c)/c) assuming c is positive.\n'
|
b'c**(-177/28)\n'
|
deepmind/math_dataset
|
b'Simplify ((f*f*f*f/(f*f**(-1))*f*f*f**6*(f/(f/((f/(f*f**5)*f)/f*f)))/(f*(f*f**6)/f))**(-2/13))**15 assuming f is positive.\n'
|
b'f**(-30/13)\n'
|
b'Simplify ((f*f*f*f/(f*f**(-1))*f*f*f**6*(f/(f/((f/(f*f**5)*f)/f*f)))/(f*(f*f**6)/f))**(-2/13))**15 assuming f is positive.\n'
|
b'f**(-30/13)\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence fizf when four letters picked without replacement from {d: 1, f: 5, i: 2, e: 1, z: 8}.\n'
|
b'2/357\n'
|
b'Calculate prob of sequence fizf when four letters picked without replacement from {d: 1, f: 5, i: 2, e: 1, z: 8}.\n'
|
b'2/357\n'
|
deepmind/math_dataset
|
b'Let b(p) = -p**3 + 2*p**2 - 1. Suppose -21 = -2*n - 25. Let l be (-10)/10 - 0/n. Determine b(l).\n'
|
b'2\n'
|
b'Let b(p) = -p**3 + 2*p**2 - 1. Suppose -21 = -2*n - 25. Let l be (-10)/10 - 0/n. Determine b(l).\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {n: 5, a: 1, v: 2, j: 1}. What is prob of sequence njav?\n'
|
b'5/1512\n'
|
b'Four letters picked without replacement from {n: 5, a: 1, v: 2, j: 1}. What is prob of sequence njav?\n'
|
b'5/1512\n'
|
deepmind/math_dataset
|
b'What is prob of sequence ug when two letters picked without replacement from uigguuggtiggu?\n'
|
b'2/13\n'
|
b'What is prob of sequence ug when two letters picked without replacement from uigguuggtiggu?\n'
|
b'2/13\n'
|
deepmind/math_dataset
|
b'Simplify (x**4/(x/(x/(x/x**(-2/37)))))/((x*x*x/(x**(-1/4)*x)*x*x)/x*x)**(-12/13)*(((x/((x/(x**(-10)/x*x))/x)*x)/x)/(x**8*x))**(34/7) assuming x is positive.\n'
|
b'x**(-271244/3367)\n'
|
b'Simplify (x**4/(x/(x/(x/x**(-2/37)))))/((x*x*x/(x**(-1/4)*x)*x*x)/x*x)**(-12/13)*(((x/((x/(x**(-10)/x*x))/x)*x)/x)/(x**8*x))**(34/7) assuming x is positive.\n'
|
b'x**(-271244/3367)\n'
|
deepmind/math_dataset
|
b'Let t(m) be the third derivative of m**5/60 + m**4/24 - m**3/3 - 3*m**2 - 2. Give t(2).\n'
|
b'4\n'
|
b'Let t(m) be the third derivative of m**5/60 + m**4/24 - m**3/3 - 3*m**2 - 2. Give t(2).\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from ppaiapiiapiipoap. Give prob of picking 2 a.\n'
|
b'1/20\n'
|
b'Two letters picked without replacement from ppaiapiiapiipoap. Give prob of picking 2 a.\n'
|
b'1/20\n'
|
deepmind/math_dataset
|
b'What is prob of sequence gxgg when four letters picked without replacement from xggg?\n'
|
b'1/4\n'
|
b'What is prob of sequence gxgg when four letters picked without replacement from xggg?\n'
|
b'1/4\n'
|
deepmind/math_dataset
|
b'Let u(g) = 2*g**3 + g**2 - 2*g + 3. Let x(a) = 6*a + 2*a**2 - a**2 - 2*a**2 - 3. Let w be x(5). Let l be u(w). Solve r = 5*y + 13, 6*r - r + 3*y + l = 0 for r.\n'
|
b'-2\n'
|
b'Let u(g) = 2*g**3 + g**2 - 2*g + 3. Let x(a) = 6*a + 2*a**2 - a**2 - 2*a**2 - 3. Let w be x(5). Let l be u(w). Solve r = 5*y + 13, 6*r - r + 3*y + l = 0 for r.\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from ypeyypyjpeyyeee. What is prob of sequence yep?\n'
|
b'3/91\n'
|
b'Three letters picked without replacement from ypeyypyjpeyyeee. What is prob of sequence yep?\n'
|
b'3/91\n'
|
deepmind/math_dataset
|
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