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 l be (-383)/11 - 4/22. Let r = -32 - l. Suppose -3*q = -2*q. Solve -2*c - 5*u = 15, q*c - 5*u - 40 = -r*c for c.\n' | b'5\n' | b'Let l be (-383)/11 - 4/22. Let r = -32 - l. Suppose -3*q = -2*q. Solve -2*c - 5*u = 15, q*c - 5*u - 40 = -r*c for c.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence gdd when three letters picked without replacement from vvvvgdvvgdvd.\n' | b'1/110\n' | b'Calculate prob of sequence gdd when three letters picked without replacement from vvvvgdvvgdvd.\n' | b'1/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bljglhjjllbbjjhbhbh. What is prob of picking 3 j and 1 b?\n' | b'25/1938\n' | b'Four letters picked without replacement from bljglhjjllbbjjhbhbh. What is prob of picking 3 j and 1 b?\n' | b'25/1938\n' | deepmind/math_dataset |
b'Simplify (b/b**(-5/11)*b**(-1/11))/((b*b*b*b**(2/69))/b*b*b*b*b*b/b**(15/8)*b) assuming b is positive.\n' | b'b**(-29087/6072)\n' | b'Simplify (b/b**(-5/11)*b**(-1/11))/((b*b*b*b**(2/69))/b*b*b*b*b*b/b**(15/8)*b) assuming b is positive.\n' | b'b**(-29087/6072)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, d: 3, s: 9, m: 5}. What is prob of sequence dy?\n' | b'9/380\n' | b'Two letters picked without replacement from {y: 3, d: 3, s: 9, m: 5}. What is prob of sequence dy?\n' | b'9/380\n' | deepmind/math_dataset |
b'Let v(p) = -24*p + 34. Let t(c) = 5*c - 7. Let s(k) = -14*t(k) - 3*v(k). What is the first derivative of s(n) wrt n?\n' | b'2\n' | b'Let v(p) = -24*p + 34. Let t(c) = 5*c - 7. Let s(k) = -14*t(k) - 3*v(k). What is the first derivative of s(n) wrt n?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 4 s when four letters picked without replacement from sssxxxs?\n' | b'1/35\n' | b'What is prob of picking 4 s when four letters picked without replacement from sssxxxs?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let f(h) = 7 - 3*h - 4*h**2 + 4*h + 3*h**2. Let w(q) = -2*q**3 + 5*q**2 - 4*q - 3. Let y be w(3). Let c be -3*(-4)/y*0. Determine f(c).\n' | b'7\n' | b'Let f(h) = 7 - 3*h - 4*h**2 + 4*h + 3*h**2. Let w(q) = -2*q**3 + 5*q**2 - 4*q - 3. Let y be w(3). Let c be -3*(-4)/y*0. Determine f(c).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 5*x + 495 = 535. Solve -4*u = -j - 17, -x*j + 12*j + u + 17 = 0 for j.\n' | b'-5\n' | b'Suppose 5*x + 495 = 535. Solve -4*u = -j - 17, -x*j + 12*j + u + 17 = 0 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 10, y: 1, b: 4, d: 3}. What is prob of picking 2 b?\n' | b'2/51\n' | b'Two letters picked without replacement from {n: 10, y: 1, b: 4, d: 3}. What is prob of picking 2 b?\n' | b'2/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 5, i: 8}. What is prob of picking 1 i and 2 x?\n' | b'40/143\n' | b'Three letters picked without replacement from {x: 5, i: 8}. What is prob of picking 1 i and 2 x?\n' | b'40/143\n' | deepmind/math_dataset |
b'Simplify (a*a**(-1)/a*a)**21/((a*a**(-2/5))/a**(-1/4)) assuming a is positive.\n' | b'a**(-17/20)\n' | b'Simplify (a*a**(-1)/a*a)**21/((a*a**(-2/5))/a**(-1/4)) assuming a is positive.\n' | b'a**(-17/20)\n' | deepmind/math_dataset |
b'Let j(z) = -6*z**3 - z**2 + z + 1. Let n be j(-1). Solve -n*u + 20 = -2*m, 3*u - 4*u + 4 = m for m.\n' | b'0\n' | b'Let j(z) = -6*z**3 - z**2 + z + 1. Let n be j(-1). Solve -n*u + 20 = -2*m, 3*u - 4*u + 4 = m for m.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 1, k: 2, f: 1, h: 2, c: 1}?\n' | b'2/21\n' | b'What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 1, k: 2, f: 1, h: 2, c: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence bfb when three letters picked without replacement from fbbzbbf.\n' | b'4/35\n' | b'Calculate prob of sequence bfb when three letters picked without replacement from fbbzbbf.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let c be (-1 - -3)*27/18. Let f(k) = k**2 + 1. What is f(c)?\n' | b'10\n' | b'Let c be (-1 - -3)*27/18. Let f(k) = k**2 + 1. What is f(c)?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence rar when three letters picked without replacement from {r: 6, o: 3, z: 2, a: 2}.\n' | b'5/143\n' | b'Calculate prob of sequence rar when three letters picked without replacement from {r: 6, o: 3, z: 2, a: 2}.\n' | b'5/143\n' | deepmind/math_dataset |
b'Simplify ((g*g*g/(g**5/g))**49/(g**(2/5)/(g/((g*g/g**5)/g))))**(-1) assuming g is positive.\n' | b'g**(222/5)\n' | b'Simplify ((g*g*g/(g**5/g))**49/(g**(2/5)/(g/((g*g/g**5)/g))))**(-1) assuming g is positive.\n' | b'g**(222/5)\n' | deepmind/math_dataset |
b'Simplify ((x**(-1/4))**(-32))**(7/4)*x/x**(-1/4)*x/(x*x**(-5)/x)*(x**6*x)/((x/x**(-7))/x) assuming x is positive.\n' | b'x**(85/4)\n' | b'Simplify ((x**(-1/4))**(-32))**(7/4)*x/x**(-1/4)*x/(x*x**(-5)/x)*(x**6*x)/((x/x**(-7))/x) assuming x is positive.\n' | b'x**(85/4)\n' | deepmind/math_dataset |
b'Simplify (s**1)**(-8/3) assuming s is positive.\n' | b's**(-8/3)\n' | b'Simplify (s**1)**(-8/3) assuming s is positive.\n' | b's**(-8/3)\n' | deepmind/math_dataset |
b'Suppose 3*i = -2*i - 25. Let o = 45 - 36. Let d = o + i. Solve 0 = t - d*g + 11 - 4, -2*t - 9 = -3*g for t.\n' | b'-3\n' | b'Suppose 3*i = -2*i - 25. Let o = 45 - 36. Let d = o + i. Solve 0 = t - d*g + 11 - 4, -2*t - 9 = -3*g for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, s: 3, a: 3}.\n' | b'2/11\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, s: 3, a: 3}.\n' | b'2/11\n' | deepmind/math_dataset |
b'Simplify (y*y/(y/y**1))**20*(y**(1/2)/y)**(-38) assuming y is positive.\n' | b'y**59\n' | b'Simplify (y*y/(y/y**1))**20*(y**(1/2)/y)**(-38) assuming y is positive.\n' | b'y**59\n' | deepmind/math_dataset |
b'Simplify (j**4*j*j/(j*j**(-1/7)))/(j**4/(j*j/(j*j**(-6))*j*j))*(j**(2/5)*j)**(-20)/(j**0)**(15/11) assuming j is positive.\n' | b'j**(-125/7)\n' | b'Simplify (j**4*j*j/(j*j**(-1/7)))/(j**4/(j*j/(j*j**(-6))*j*j))*(j**(2/5)*j)**(-20)/(j**0)**(15/11) assuming j is positive.\n' | b'j**(-125/7)\n' | deepmind/math_dataset |
b'Suppose -19*l = 54 - 455 - 739. Let v be (13/3)/(2/18). Find the first derivative of -79*z**4 + v*z**4 + l*z**4 + 49 wrt z.\n' | b'80*z**3\n' | b'Suppose -19*l = 54 - 455 - 739. Let v be (13/3)/(2/18). Find the first derivative of -79*z**4 + v*z**4 + l*z**4 + 49 wrt z.\n' | b'80*z**3\n' | deepmind/math_dataset |
b'Let d(x) = -5*x**3 - x - 2. Let z(r) = r**2 + 21*r + 37. Let h be z(-19). Give d(h).\n' | b'4\n' | b'Let d(x) = -5*x**3 - x - 2. Let z(r) = r**2 + 21*r + 37. Let h be z(-19). Give d(h).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence bqb when three letters picked without replacement from bsbqee?\n' | b'1/60\n' | b'What is prob of sequence bqb when three letters picked without replacement from bsbqee?\n' | b'1/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ssesseesss. What is prob of picking 4 e?\n' | b'0\n' | b'Four letters picked without replacement from ssesseesss. What is prob of picking 4 e?\n' | b'0\n' | deepmind/math_dataset |
b'Let a(y) = -y**3 + 10*y**2 - 8*y - 7. Let c be a(9). Solve 4*h + 5*b = 3*h - 30, h = -c*b - 15 for h.\n' | b'-5\n' | b'Let a(y) = -y**3 + 10*y**2 - 8*y - 7. Let c be a(9). Solve 4*h + 5*b = 3*h - 30, h = -c*b - 15 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify a**46*a/(a/a**(-11/8)*a)*(a/(a/a**(3/2))*a*a)/(a/a**32) assuming a is positive.\n' | b'a**(625/8)\n' | b'Simplify a**46*a/(a/a**(-11/8)*a)*(a/(a/a**(3/2))*a*a)/(a/a**32) assuming a is positive.\n' | b'a**(625/8)\n' | deepmind/math_dataset |
b'Suppose -10*d + 211 = 191. Solve k + 5*w = 11, -k = -5*k - d*w - 10 for k.\n' | b'-4\n' | b'Suppose -10*d + 211 = 191. Solve k + 5*w = 11, -k = -5*k - d*w - 10 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j = 772 + -1372. Let c = -596 - j. Solve 0*t - t = c*y + 7, y + t = -4 for y.\n' | b'-1\n' | b'Let j = 772 + -1372. Let c = -596 - j. Solve 0*t - t = c*y + 7, y + t = -4 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*z + 3*k + 54 = -k, -5*z - k + 168 = 0. Let c = z - 27. Let f be c/(-4) - (-21)/14. Solve f*d - l = -d - 1, d = 2*l - 6 for d.\n' | b'4\n' | b'Suppose -2*z + 3*k + 54 = -k, -5*z - k + 168 = 0. Let c = z - 27. Let f be c/(-4) - (-21)/14. Solve f*d - l = -d - 1, d = 2*l - 6 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 5, x: 3, b: 5, d: 2, n: 1}. Give prob of picking 1 s, 1 n, and 2 x.\n' | b'3/364\n' | b'Four letters picked without replacement from {s: 5, x: 3, b: 5, d: 2, n: 1}. Give prob of picking 1 s, 1 n, and 2 x.\n' | b'3/364\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aja. What is prob of sequence aa?\n' | b'1/3\n' | b'Two letters picked without replacement from aja. What is prob of sequence aa?\n' | b'1/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, i: 1, v: 7, b: 2}. What is prob of sequence qqi?\n' | b'1/660\n' | b'Three letters picked without replacement from {q: 2, i: 1, v: 7, b: 2}. What is prob of sequence qqi?\n' | b'1/660\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nqqqfqqnqnfqfqnq. Give prob of picking 1 q and 1 f.\n' | b'9/40\n' | b'Two letters picked without replacement from nqqqfqqnqnfqfqnq. Give prob of picking 1 q and 1 f.\n' | b'9/40\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, u: 1, j: 4, q: 2, p: 6}. Give prob of picking 2 p.\n' | b'15/136\n' | b'Two letters picked without replacement from {x: 4, u: 1, j: 4, q: 2, p: 6}. Give prob of picking 2 p.\n' | b'15/136\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {p: 3, c: 7}?\n' | b'7/15\n' | b'What is prob of sequence cc when two letters picked without replacement from {p: 3, c: 7}?\n' | b'7/15\n' | deepmind/math_dataset |
b'Simplify ((q*q*q*q/q**(-10)*q*q**(4/9))/(q**(2/9)/q*q**(-2/9)))**(2/9) assuming q is positive.\n' | b'q**(296/81)\n' | b'Simplify ((q*q*q*q/q**(-10)*q*q**(4/9))/(q**(2/9)/q*q**(-2/9)))**(2/9) assuming q is positive.\n' | b'q**(296/81)\n' | deepmind/math_dataset |
b'Suppose -9 = h - 11. Suppose h*p - 7 = 5. What is the third derivative of -1 + 1 + 3*g**p + 6*g**2 wrt g?\n' | b'360*g**3\n' | b'Suppose -9 = h - 11. Suppose h*p - 7 = 5. What is the third derivative of -1 + 1 + 3*g**p + 6*g**2 wrt g?\n' | b'360*g**3\n' | deepmind/math_dataset |
b'Let t(b) = -b + 18. Let o(w) = -2145*w - 3879. Let q(g) = -o(g) - 4*t(g). What is the first derivative of q(l) wrt l?\n' | b'2149\n' | b'Let t(b) = -b + 18. Let o(w) = -2145*w - 3879. Let q(g) = -o(g) - 4*t(g). What is the first derivative of q(l) wrt l?\n' | b'2149\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 4, z: 1, t: 2}. What is prob of sequence kktz?\n' | b'1/35\n' | b'Four letters picked without replacement from {k: 4, z: 1, t: 2}. What is prob of sequence kktz?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tpppptpttaattaaatppp. Give prob of picking 2 a.\n' | b'1/19\n' | b'Two letters picked without replacement from tpppptpttaattaaatppp. Give prob of picking 2 a.\n' | b'1/19\n' | deepmind/math_dataset |
b'Simplify ((x**(-1/2)/x*x)**(5/11))**(-3/13)/(x*x*(x*x**(1/2))/x*x**(-4)*x**(3/2)*x/(x*x**(3/10)*x)) assuming x is positive.\n' | b'x**(967/715)\n' | b'Simplify ((x**(-1/2)/x*x)**(5/11))**(-3/13)/(x*x*(x*x**(1/2))/x*x**(-4)*x**(3/2)*x/(x*x**(3/10)*x)) assuming x is positive.\n' | b'x**(967/715)\n' | deepmind/math_dataset |
b'Let v = 19 + -30. Let l(r) = 4*r**2 + 16*r + 11. Let u(b) = b**2 + 3*b + 2. Let x(a) = v*u(a) + 2*l(a). What is the second derivative of x(g) wrt g?\n' | b'-6\n' | b'Let v = 19 + -30. Let l(r) = 4*r**2 + 16*r + 11. Let u(b) = b**2 + 3*b + 2. Let x(a) = v*u(a) + 2*l(a). What is the second derivative of x(g) wrt g?\n' | b'-6\n' | deepmind/math_dataset |
b'Let d = 184694 - 184689. Let f be (-4)/10 + 72/5. Solve -3*t + 5 = 2*i + 2*i, 0 = -i - d*t + f for i.\n' | b'-1\n' | b'Let d = 184694 - 184689. Let f be (-4)/10 + 72/5. Solve -3*t + 5 = 2*i + 2*i, 0 = -i - d*t + f for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5, w: 1, b: 3, l: 1, q: 4}. Give prob of sequence lb.\n' | b'3/182\n' | b'Two letters picked without replacement from {v: 5, w: 1, b: 3, l: 1, q: 4}. Give prob of sequence lb.\n' | b'3/182\n' | deepmind/math_dataset |
b'What is prob of sequence ss when two letters picked without replacement from {s: 3}?\n' | b'1\n' | b'What is prob of sequence ss when two letters picked without replacement from {s: 3}?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ssggg. Give prob of picking 3 g and 1 s.\n' | b'2/5\n' | b'Four letters picked without replacement from ssggg. Give prob of picking 3 g and 1 s.\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 z when two letters picked without replacement from iizzjiqbbzijzqzqjbb?\n' | b'5/57\n' | b'What is prob of picking 1 q and 1 z when two letters picked without replacement from iizzjiqbbzijzqzqjbb?\n' | b'5/57\n' | deepmind/math_dataset |
b'Let x(o) be the first derivative of o**7/280 - o**6/36 - 20*o**3/3 + 13. Let a(s) be the third derivative of x(s). What is the third derivative of a(p) wrt p?\n' | b'18\n' | b'Let x(o) be the first derivative of o**7/280 - o**6/36 - 20*o**3/3 + 13. Let a(s) be the third derivative of x(s). What is the third derivative of a(p) wrt p?\n' | b'18\n' | deepmind/math_dataset |
b'Let n(i) = i. Let v(a) = -a + 1. Let q be v(0). Let w(p) = 4*p. Let u(z) = q*n(z) + w(z). Let o(k) = k + 5. Let x be o(-3). What is u(x)?\n' | b'10\n' | b'Let n(i) = i. Let v(a) = -a + 1. Let q be v(0). Let w(p) = 4*p. Let u(z) = q*n(z) + w(z). Let o(k) = k + 5. Let x be o(-3). What is u(x)?\n' | b'10\n' | deepmind/math_dataset |
b'Let d(w) = -w**3 - w - 1. Let t(b) = -5*b**3 + b**2 - 12*b - 8. Let i(f) = 6*d(f) - t(f). Let l be i(-3). Suppose 5*h = -l + 17. Let p(c) = -2*c - 3. Give p(h).\n' | b'-9\n' | b'Let d(w) = -w**3 - w - 1. Let t(b) = -5*b**3 + b**2 - 12*b - 8. Let i(f) = 6*d(f) - t(f). Let l be i(-3). Suppose 5*h = -l + 17. Let p(c) = -2*c - 3. Give p(h).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (o**0*o)/o**(4/7)*(o*o/o**(-2))/(o*o**3*o) assuming o is positive.\n' | b'o**(-4/7)\n' | b'Simplify (o**0*o)/o**(4/7)*(o*o/o**(-2))/(o*o**3*o) assuming o is positive.\n' | b'o**(-4/7)\n' | deepmind/math_dataset |
b'Suppose -3*p - 10*d - 99 = -7*d, 3*p + d + 89 = 0. Let g = -20 - p. Let f(m) = -m**3 + 8*m**2 + 5. Give f(g).\n' | b'5\n' | b'Suppose -3*p - 10*d - 99 = -7*d, 3*p + d + 89 = 0. Let g = -20 - p. Let f(m) = -m**3 + 8*m**2 + 5. Give f(g).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 8, h: 5, q: 7}. Give prob of picking 1 i and 1 h.\n' | b'4/19\n' | b'Two letters picked without replacement from {i: 8, h: 5, q: 7}. Give prob of picking 1 i and 1 h.\n' | b'4/19\n' | deepmind/math_dataset |
b'Let x(j) = -j - 1. Let c be x(-7). Let s(t) = t**2 - 4*t - 5. Give s(c).\n' | b'7\n' | b'Let x(j) = -j - 1. Let c be x(-7). Let s(t) = t**2 - 4*t - 5. Give s(c).\n' | b'7\n' | deepmind/math_dataset |
b'Differentiate -2*a**2 + 119 + 22*a + 5 + 42 + 175 wrt a.\n' | b'-4*a + 22\n' | b'Differentiate -2*a**2 + 119 + 22*a + 5 + 42 + 175 wrt a.\n' | b'-4*a + 22\n' | deepmind/math_dataset |
b'Suppose 0 = 3*r - 6, -u - u + 14 = 5*r. Find the first derivative of -3*l**3 + 2*l**u - 2*l**2 - 1 - 3 wrt l.\n' | b'-9*l**2\n' | b'Suppose 0 = 3*r - 6, -u - u + 14 = 5*r. Find the first derivative of -3*l**3 + 2*l**u - 2*l**2 - 1 - 3 wrt l.\n' | b'-9*l**2\n' | deepmind/math_dataset |
b'Let i(q) = -q**3 + 4*q**2 - q + 13. Suppose 13*c + 339 = 77*c - 45. Give i(c).\n' | b'-65\n' | b'Let i(q) = -q**3 + 4*q**2 - q + 13. Suppose 13*c + 339 = 77*c - 45. Give i(c).\n' | b'-65\n' | deepmind/math_dataset |
b'Let j(g) = -g**3 - 8*g**2 - 10*g - 14. Let t be j(-7). Let w be (t*2/(-6))/((-8)/24). Let i(n) = -n**3 + 6*n**2 + 8*n - 9. Give i(w).\n' | b'-2\n' | b'Let j(g) = -g**3 - 8*g**2 - 10*g - 14. Let t be j(-7). Let w be (t*2/(-6))/((-8)/24). Let i(n) = -n**3 + 6*n**2 + 8*n - 9. Give i(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(g) = -g**3 + 6*g**2 - 2*g + 9. Let o be 2*5*(-39)/(-65). Calculate c(o).\n' | b'-3\n' | b'Let c(g) = -g**3 + 6*g**2 - 2*g + 9. Let o be 2*5*(-39)/(-65). Calculate c(o).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -g - 5*q + 5, 2*q - 5 = -4*g - 3. Let k(d) be the third derivative of d**5/60 + d**3/2 + 6*d**2. Give k(g).\n' | b'3\n' | b'Suppose 0 = -g - 5*q + 5, 2*q - 5 = -4*g - 3. Let k(d) be the third derivative of d**5/60 + d**3/2 + 6*d**2. Give k(g).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((((t*t**(1/4))/t)/(t/(t**0/t)))**(-5/3))**35 assuming t is positive.\n' | b't**(1225/12)\n' | b'Simplify ((((t*t**(1/4))/t)/(t/(t**0/t)))**(-5/3))**35 assuming t is positive.\n' | b't**(1225/12)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e and 2 t when four letters picked without replacement from {e: 1, t: 3}.\n' | b'0\n' | b'Calculate prob of picking 2 e and 2 t when four letters picked without replacement from {e: 1, t: 3}.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, p: 8, o: 2}. What is prob of picking 2 p?\n' | b'14/33\n' | b'Two letters picked without replacement from {c: 2, p: 8, o: 2}. What is prob of picking 2 p?\n' | b'14/33\n' | deepmind/math_dataset |
b'Let w(l) be the first derivative of 2*l**3/3 - 9*l**2/2 - 6*l - 4. Let b(q) = q + 2. Let d be b(5). Determine w(d).\n' | b'29\n' | b'Let w(l) be the first derivative of 2*l**3/3 - 9*l**2/2 - 6*l - 4. Let b(q) = q + 2. Let d be b(5). Determine w(d).\n' | b'29\n' | deepmind/math_dataset |
b'What is prob of sequence ddd when three letters picked without replacement from {d: 10, z: 4}?\n' | b'30/91\n' | b'What is prob of sequence ddd when three letters picked without replacement from {d: 10, z: 4}?\n' | b'30/91\n' | deepmind/math_dataset |
b'Let k(b) = 18*b - 10. Let t be k(1). Solve -4*v - l = -t*v - 17, -2*v = 5*l - 19 for v.\n' | b'-3\n' | b'Let k(b) = 18*b - 10. Let t be k(1). Solve -4*v - l = -t*v - 17, -2*v = 5*l - 19 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -10 = -g + 4*s, 5*s - 1 = -11. Solve -2*a - 3*c + 1 = g*c, -a + c - 3 = 0 for a.\n' | b'-2\n' | b'Suppose -10 = -g + 4*s, 5*s - 1 = -11. Solve -2*a - 3*c + 1 = g*c, -a + c - 3 = 0 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (l*l**(-1)*l**2/l)**(-7/4) assuming l is positive.\n' | b'l**(-7/4)\n' | b'Simplify (l*l**(-1)*l**2/l)**(-7/4) assuming l is positive.\n' | b'l**(-7/4)\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 2 l when four letters picked without replacement from lzuzulllzzzzlzzzlz?\n' | b'1/204\n' | b'What is prob of picking 2 u and 2 l when four letters picked without replacement from lzuzulllzzzzlzzzlz?\n' | b'1/204\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, r: 2, s: 7, b: 1, c: 1, t: 4}. What is prob of sequence rrs?\n' | b'7/2040\n' | b'Three letters picked without replacement from {u: 2, r: 2, s: 7, b: 1, c: 1, t: 4}. What is prob of sequence rrs?\n' | b'7/2040\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 6, r: 1, a: 2, e: 2, s: 3}. What is prob of picking 3 l and 1 a?\n' | b'40/1001\n' | b'Four letters picked without replacement from {l: 6, r: 1, a: 2, e: 2, s: 3}. What is prob of picking 3 l and 1 a?\n' | b'40/1001\n' | deepmind/math_dataset |
b'Suppose -16 = 4*q, 3*p - 2*q = 3 + 5. Solve p = 3*h + w - 2*w + 2, 0 = -2*w + 10 for h.\n' | b'1\n' | b'Suppose -16 = 4*q, 3*p - 2*q = 3 + 5. Solve p = 3*h + w - 2*w + 2, 0 = -2*w + 10 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(u) be the third derivative of -u**4/24 + 8*u**3/3 + 2163*u**2. Give r(-9).\n' | b'25\n' | b'Let r(u) be the third derivative of -u**4/24 + 8*u**3/3 + 2163*u**2. Give r(-9).\n' | b'25\n' | deepmind/math_dataset |
b'Simplify (t**(-7))**(-16/7) assuming t is positive.\n' | b't**16\n' | b'Simplify (t**(-7))**(-16/7) assuming t is positive.\n' | b't**16\n' | deepmind/math_dataset |
b'Calculate prob of sequence trtr when four letters picked without replacement from {x: 4, r: 5, t: 10}.\n' | b'25/1292\n' | b'Calculate prob of sequence trtr when four letters picked without replacement from {x: 4, r: 5, t: 10}.\n' | b'25/1292\n' | deepmind/math_dataset |
b'Calculate prob of sequence graq when four letters picked without replacement from adqgzdr.\n' | b'1/840\n' | b'Calculate prob of sequence graq when four letters picked without replacement from adqgzdr.\n' | b'1/840\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, u: 4}. Give prob of picking 4 u.\n' | b'1/15\n' | b'Four letters picked without replacement from {r: 2, u: 4}. Give prob of picking 4 u.\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, d: 1, n: 11}. Give prob of sequence ndq.\n' | b'11/910\n' | b'Three letters picked without replacement from {q: 3, d: 1, n: 11}. Give prob of sequence ndq.\n' | b'11/910\n' | deepmind/math_dataset |
b'Let m(d) = -2*d + 32. Suppose -10*y - o = -15*y + 92, 0 = 2*y - o - 35. What is m(y)?\n' | b'-6\n' | b'Let m(d) = -2*d + 32. Suppose -10*y - o = -15*y + 92, 0 = 2*y - o - 35. What is m(y)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let t = -54 - -56. Let v(j) = t + 30*j**2 - 3*j + 8*j + 4*j - 32*j**2. Determine v(4).\n' | b'6\n' | b'Let t = -54 - -56. Let v(j) = t + 30*j**2 - 3*j + 8*j + 4*j - 32*j**2. Determine v(4).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((d**6/(d/d**(-16)))**(-2/147))**(-15) assuming d is positive.\n' | b'd**(-110/49)\n' | b'Simplify ((d**6/(d/d**(-16)))**(-2/147))**(-15) assuming d is positive.\n' | b'd**(-110/49)\n' | deepmind/math_dataset |
b'Suppose -3*s + s = -2*r - 12, 5*s - r - 30 = 0. Suppose -4*f = -5*b + s, -5*f + 16 = 4*b + 3. Suppose 5*u = 9 + f. Solve 0*y + y - 1 = -u*p, y = -3*p + 2 for p.\n' | b'1\n' | b'Suppose -3*s + s = -2*r - 12, 5*s - r - 30 = 0. Suppose -4*f = -5*b + s, -5*f + 16 = 4*b + 3. Suppose 5*u = 9 + f. Solve 0*y + y - 1 = -u*p, y = -3*p + 2 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 7, c: 6, x: 4}. Give prob of sequence xvvc.\n' | b'3/170\n' | b'Four letters picked without replacement from {v: 7, c: 6, x: 4}. Give prob of sequence xvvc.\n' | b'3/170\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, y: 1, v: 2, s: 2, l: 1, z: 1}?\n' | b'1/14\n' | b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, y: 1, v: 2, s: 2, l: 1, z: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -5 = -b - 3*t, 4*b - 3*t - 23 = -3. Solve 3*s = 8*s + 25, s = -5*o - b for o.\n' | b'0\n' | b'Suppose -5 = -b - 3*t, 4*b - 3*t - 23 = -3. Solve 3*s = 8*s + 25, s = -5*o - b for o.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence bh when two letters picked without replacement from {b: 2, h: 4, p: 1, t: 2}?\n' | b'1/9\n' | b'What is prob of sequence bh when two letters picked without replacement from {b: 2, h: 4, p: 1, t: 2}?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let r(d) = -d**4 + 3*d**3 + 11*d**2 - 5*d. Let i(t) = 2*t**4 - 3*t**3 - 10*t**2 + 4*t. Let q(j) = -5*i(j) - 4*r(j). What is the third derivative of q(k) wrt k?\n' | b'-144*k + 18\n' | b'Let r(d) = -d**4 + 3*d**3 + 11*d**2 - 5*d. Let i(t) = 2*t**4 - 3*t**3 - 10*t**2 + 4*t. Let q(j) = -5*i(j) - 4*r(j). What is the third derivative of q(k) wrt k?\n' | b'-144*k + 18\n' | deepmind/math_dataset |
b'Suppose -4*l = 5*x - 8*x + 9, 15 = 5*l + 5*x. Let i(t) be the second derivative of -5/2*t**2 - 1/12*t**4 + l*t**3 - 8*t + 0. Differentiate i(j) wrt j.\n' | b'-2*j\n' | b'Suppose -4*l = 5*x - 8*x + 9, 15 = 5*l + 5*x. Let i(t) be the second derivative of -5/2*t**2 - 1/12*t**4 + l*t**3 - 8*t + 0. Differentiate i(j) wrt j.\n' | b'-2*j\n' | deepmind/math_dataset |
b'Let v(u) = u**3 + 4*u**2 - 4*u - 4. Let i(s) = -s**2 - 5*s - 5. Let a = -12 - -7. Let d be i(a). Determine v(d).\n' | b'-9\n' | b'Let v(u) = u**3 + 4*u**2 - 4*u - 4. Let i(s) = -s**2 - 5*s - 5. Let a = -12 - -7. Let d be i(a). Determine v(d).\n' | b'-9\n' | deepmind/math_dataset |
b'Let b(u) = -u**3 - 34*u**2 + 5*u + 183. Let z(i) = i**3 + 35*i**2 - 4*i - 184. Let w(y) = -4*b(y) - 5*z(y). Differentiate w(n) wrt n.\n' | b'-3*n**2 - 78*n\n' | b'Let b(u) = -u**3 - 34*u**2 + 5*u + 183. Let z(i) = i**3 + 35*i**2 - 4*i - 184. Let w(y) = -4*b(y) - 5*z(y). Differentiate w(n) wrt n.\n' | b'-3*n**2 - 78*n\n' | deepmind/math_dataset |
b'Simplify a**(-2/35)*a*a**(5/8)*a assuming a is positive.\n' | b'a**(719/280)\n' | b'Simplify a**(-2/35)*a*a**(5/8)*a assuming a is positive.\n' | b'a**(719/280)\n' | deepmind/math_dataset |
b'Let b(u) = u**2 + 2*u + 1. Let x be b(-3). Find the third derivative of 4*w**5 - x*w**5 - 5*w**2 + 6*w**5 wrt w.\n' | b'360*w**2\n' | b'Let b(u) = u**2 + 2*u + 1. Let x be b(-3). Find the third derivative of 4*w**5 - x*w**5 - 5*w**2 + 6*w**5 wrt w.\n' | b'360*w**2\n' | deepmind/math_dataset |
b'Simplify ((k**0)**(-15)*(k/(k*k*k*k**(2/7)))**32)**(1/28) assuming k is positive.\n' | b'k**(-128/49)\n' | b'Simplify ((k**0)**(-15)*(k/(k*k*k*k**(2/7)))**32)**(1/28) assuming k is positive.\n' | b'k**(-128/49)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkkkekk. Give prob of sequence kkek.\n' | b'1/8\n' | b'Four letters picked without replacement from kkkkkekk. Give prob of sequence kkek.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence od when two letters picked without replacement from fodnn?\n' | b'1/20\n' | b'What is prob of sequence od when two letters picked without replacement from fodnn?\n' | b'1/20\n' | deepmind/math_dataset |
b'Suppose 4*y - 18 = 2*y. Let d be (-1)/1 - (-6)/(-2) - y. Let i(j) = j**2 + 12*j - 8. Give i(d).\n' | b'5\n' | b'Suppose 4*y - 18 = 2*y. Let d be (-1)/1 - (-6)/(-2) - y. Let i(j) = j**2 + 12*j - 8. Give i(d).\n' | b'5\n' | deepmind/math_dataset |
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