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'Suppose 8 + 0 = -2*x, -31 = -5*v + 4*x. Suppose c + l = 5*l - 13, -2*l = -v*c + 11. Find the third derivative of -8*b**4 + c*b**2 - 4*b**2 + 3*b**2 wrt b.\n' | b'-192*b\n' | b'Suppose 8 + 0 = -2*x, -31 = -5*v + 4*x. Suppose c + l = 5*l - 13, -2*l = -v*c + 11. Find the third derivative of -8*b**4 + c*b**2 - 4*b**2 + 3*b**2 wrt b.\n' | b'-192*b\n' | deepmind/math_dataset |
b'Let w(a) = 4*a**3 - a**2. Let c(l) be the third derivative of l**6/24 - l**5/60 + l**2. Let g(d) = -3*c(d) + 4*w(d). What is the third derivative of g(i) wrt i?\n' | b'6\n' | b'Let w(a) = 4*a**3 - a**2. Let c(l) be the third derivative of l**6/24 - l**5/60 + l**2. Let g(d) = -3*c(d) + 4*w(d). What is the third derivative of g(i) wrt i?\n' | b'6\n' | deepmind/math_dataset |
b'Let a(w) = -w**3 + 15*w**2 + 16*w. Let k be a(16). Let q(d) = d - 3. Calculate q(k).\n' | b'-3\n' | b'Let a(w) = -w**3 + 15*w**2 + 16*w. Let k be a(16). Let q(d) = d - 3. Calculate q(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -5*v + 8*v - 12. Solve v*f = -5*j + 2*j + 23, 0 = -f + 5 for j.\n' | b'1\n' | b'Suppose 0 = -5*v + 8*v - 12. Solve v*f = -5*j + 2*j + 23, 0 = -f + 5 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let m(k) be the second derivative of -2 + 11/6*k**3 - 1/12*k**4 + 17/2*k**2 + 14*k. Determine m(12).\n' | b'5\n' | b'Let m(k) be the second derivative of -2 + 11/6*k**3 - 1/12*k**4 + 17/2*k**2 + 14*k. Determine m(12).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 y, and 2 i when four letters picked without replacement from yymmiwmmwmwaiaymiim?\n' | b'21/646\n' | b'What is prob of picking 1 m, 1 y, and 2 i when four letters picked without replacement from yymmiwmmwmwaiaymiim?\n' | b'21/646\n' | deepmind/math_dataset |
b'Suppose 121 = 81*p - 92*p. Let i(v) = 3*v + 43. Determine i(p).\n' | b'10\n' | b'Suppose 121 = 81*p - 92*p. Let i(v) = 3*v + 43. Determine i(p).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence tv when two letters picked without replacement from {s: 5, j: 6, t: 5, g: 2, v: 1}.\n' | b'5/342\n' | b'Calculate prob of sequence tv when two letters picked without replacement from {s: 5, j: 6, t: 5, g: 2, v: 1}.\n' | b'5/342\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?\n' | b'1\n' | b'Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dpozdzdzdzzzdzzzpzz. What is prob of sequence pz?\n' | b'11/171\n' | b'Two letters picked without replacement from dpozdzdzdzzzdzzzpzz. What is prob of sequence pz?\n' | b'11/171\n' | deepmind/math_dataset |
b'Let s be (10 - 27) + 9 - -11. Solve x = 2*g + 3, x = s*g + 5*x + 10 for g.\n' | b'-2\n' | b'Let s be (10 - 27) + 9 - -11. Solve x = 2*g + 3, x = s*g + 5*x + 10 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h = -8 - -32. Find the third derivative of -27*o**2 + 14*o**6 + 13*o**2 + h*o**2 wrt o.\n' | b'1680*o**3\n' | b'Let h = -8 - -32. Find the third derivative of -27*o**2 + 14*o**6 + 13*o**2 + h*o**2 wrt o.\n' | b'1680*o**3\n' | deepmind/math_dataset |
b'What is prob of picking 3 n when three letters picked without replacement from {n: 12, c: 1}?\n' | b'10/13\n' | b'What is prob of picking 3 n when three letters picked without replacement from {n: 12, c: 1}?\n' | b'10/13\n' | deepmind/math_dataset |
b'Let w(s) be the third derivative of -31*s**8/336 + s**6/60 + 42*s**5/5 + 762*s**2. What is the third derivative of w(x) wrt x?\n' | b'-1860*x**2 + 12\n' | b'Let w(s) be the third derivative of -31*s**8/336 + s**6/60 + 42*s**5/5 + 762*s**2. What is the third derivative of w(x) wrt x?\n' | b'-1860*x**2 + 12\n' | deepmind/math_dataset |
b'Let x be 4 - (0/(-2) - 1). Suppose -2*r - r = 4*o + 20, 2*r = x*o + 25. Solve r*c - 10 = -5*c - 4*y, -8 = -4*c + 2*y for c.\n' | b'2\n' | b'Let x be 4 - (0/(-2) - 1). Suppose -2*r - r = 4*o + 20, 2*r = x*o + 25. Solve r*c - 10 = -5*c - 4*y, -8 = -4*c + 2*y for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 14*b - 100 = 9*b. Suppose b = -59*j + 64*j. What is the second derivative of 2*a**2 - 7*a**j - 2*a**2 - 2*a + 3*a**4 wrt a?\n' | b'-48*a**2\n' | b'Suppose 14*b - 100 = 9*b. Suppose b = -59*j + 64*j. What is the second derivative of 2*a**2 - 7*a**j - 2*a**2 - 2*a + 3*a**4 wrt a?\n' | b'-48*a**2\n' | deepmind/math_dataset |
b'What is the second derivative of -65*j - 6*j**3 - 17 + 3*j**5 + 11 + 6 wrt j?\n' | b'60*j**3 - 36*j\n' | b'What is the second derivative of -65*j - 6*j**3 - 17 + 3*j**5 + 11 + 6 wrt j?\n' | b'60*j**3 - 36*j\n' | deepmind/math_dataset |
b'Simplify (u*u**(1/2))/(u**7*u*u)*u**(2/9)/(u/u**0) assuming u is positive.\n' | b'u**(-149/18)\n' | b'Simplify (u*u**(1/2))/(u**7*u*u)*u**(2/9)/(u/u**0) assuming u is positive.\n' | b'u**(-149/18)\n' | deepmind/math_dataset |
b'Let i = 5307 + -5303. Solve 4*z - 25 = -x, 2*z + i*x - 25 = x for z.\n' | b'5\n' | b'Let i = 5307 + -5303. Solve 4*z - 25 = -x, 2*z + i*x - 25 = x for z.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence ba when two letters picked without replacement from ybhbbbbabbbb?\n' | b'3/44\n' | b'What is prob of sequence ba when two letters picked without replacement from ybhbbbbabbbb?\n' | b'3/44\n' | deepmind/math_dataset |
b'Let a be 1/(4/(-4))*3. Let n be 1 + a*(-3)/9. Suppose 2*k - 3*u + 5 = 0, u - 4*u + 13 = 2*k. Solve n*j + 11 = -l, 0 = 5*j - 5*l + k*l + 22 for j.\n' | b'-5\n' | b'Let a be 1/(4/(-4))*3. Let n be 1 + a*(-3)/9. Suppose 2*k - 3*u + 5 = 0, u - 4*u + 13 = 2*k. Solve n*j + 11 = -l, 0 = 5*j - 5*l + k*l + 22 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((f*f**(-2))/((((f*f/(f*(f/(f*f/(f**(3/2)/f)))/f*f*f))/f)/f)/f))**(-3/5) assuming f is positive.\n' | b'f**(-9/10)\n' | b'Simplify ((f*f**(-2))/((((f*f/(f*(f/(f*f/(f**(3/2)/f)))/f*f*f))/f)/f)/f))**(-3/5) assuming f is positive.\n' | b'f**(-9/10)\n' | deepmind/math_dataset |
b'Let s(m) = 2*m - 15. Let g be s(9). Let n(r) = -2*r**3 + r**2 - 3*r - 2. Let q be n(g). Let p be 3/(-6) - q/16. Solve 4*a + 24 = -5*j - 7, p*a + 6 = 2*j for j.\n' | b'-3\n' | b'Let s(m) = 2*m - 15. Let g be s(9). Let n(r) = -2*r**3 + r**2 - 3*r - 2. Let q be n(g). Let p be 3/(-6) - q/16. Solve 4*a + 24 = -5*j - 7, p*a + 6 = 2*j for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of 20*j - 22*j - 10*j**3 + 11*j wrt j.\n' | b'-60*j\n' | b'Find the second derivative of 20*j - 22*j - 10*j**3 + 11*j wrt j.\n' | b'-60*j\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 2 v when four letters picked without replacement from {v: 4, u: 5, x: 6}?\n' | b'4/91\n' | b'What is prob of picking 2 u and 2 v when four letters picked without replacement from {v: 4, u: 5, x: 6}?\n' | b'4/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dzzuhuuzhhzzhuzuud. What is prob of picking 2 u, 1 h, and 1 z?\n' | b'2/17\n' | b'Four letters picked without replacement from dzzuhuuzhhzzhuzuud. What is prob of picking 2 u, 1 h, and 1 z?\n' | b'2/17\n' | deepmind/math_dataset |
b'What is prob of picking 2 f, 1 n, and 1 a when four letters picked without replacement from nffnwfwwanwwwwfwww?\n' | b'1/170\n' | b'What is prob of picking 2 f, 1 n, and 1 a when four letters picked without replacement from nffnwfwwanwwwwfwww?\n' | b'1/170\n' | deepmind/math_dataset |
b'Let n be (-9)/((-2)/(12/18)). Solve 4*i - 3*a + 5 = 0, a = -n*i + 6*i for i.\n' | b'1\n' | b'Let n be (-9)/((-2)/(12/18)). Solve 4*i - 3*a + 5 = 0, a = -n*i + 6*i for i.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 47*j - 171 = 682 + 510. Solve 0 = 2*g - 2*d + 8, 30*g - 2*d + 6 = j*g for g.\n' | b'-2\n' | b'Suppose 47*j - 171 = 682 + 510. Solve 0 = 2*g - 2*d + 8, 30*g - 2*d + 6 = j*g for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ehm when three letters picked without replacement from hmeh.\n' | b'1/12\n' | b'Calculate prob of sequence ehm when three letters picked without replacement from hmeh.\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, v: 4}. What is prob of sequence pv?\n' | b'4/15\n' | b'Two letters picked without replacement from {p: 2, v: 4}. What is prob of sequence pv?\n' | b'4/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dudddddud. Give prob of sequence du.\n' | b'7/36\n' | b'Two letters picked without replacement from dudddddud. Give prob of sequence du.\n' | b'7/36\n' | deepmind/math_dataset |
b'Let y(g) = 3*g - 2*g**3 - 3*g**2 + 0*g**2 + g - 5*g. Determine y(-2).\n' | b'6\n' | b'Let y(g) = 3*g - 2*g**3 - 3*g**2 + 0*g**2 + g - 5*g. Determine y(-2).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose a = 23*a - 44. Suppose 5*x - a*x = 24. Let t(c) = c + 7. Calculate t(x).\n' | b'15\n' | b'Suppose a = 23*a - 44. Suppose 5*x - a*x = 24. Let t(c) = c + 7. Calculate t(x).\n' | b'15\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 2 v when three letters picked without replacement from pvopopy?\n' | b'0\n' | b'What is prob of picking 1 p and 2 v when three letters picked without replacement from pvopopy?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 i when two letters picked without replacement from ffzzzffiqiff.\n' | b'1/11\n' | b'Calculate prob of picking 1 z and 1 i when two letters picked without replacement from ffzzzffiqiff.\n' | b'1/11\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x and 1 p when three letters picked without replacement from {x: 2, p: 6}.\n' | b'3/28\n' | b'Calculate prob of picking 2 x and 1 p when three letters picked without replacement from {x: 2, p: 6}.\n' | b'3/28\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 3, q: 10, b: 3, l: 3}. Give prob of sequence bllw.\n' | b'3/5168\n' | b'Four letters picked without replacement from {w: 3, q: 10, b: 3, l: 3}. Give prob of sequence bllw.\n' | b'3/5168\n' | deepmind/math_dataset |
b'Let n(t) = -15*t**2 + t**3 - 18*t**2 + 28*t**2 - t + 4. Let o = 14 + -9. What is n(o)?\n' | b'-1\n' | b'Let n(t) = -15*t**2 + t**3 - 18*t**2 + 28*t**2 - t + 4. Let o = 14 + -9. What is n(o)?\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*c = 3*k - 52, -3*c + 3*k = 4*k - 34. Solve -5*h + c = -g, 3*g + 3*h = -2*g + 34 for g.\n' | b'5\n' | b'Suppose -4*c = 3*k - 52, -3*c + 3*k = 4*k - 34. Solve -5*h + c = -g, 3*g + 3*h = -2*g + 34 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((h/(h*h**8/h)*h)/((h/h**(6/7)*h)/h))**(-24) assuming h is positive.\n' | b'h**(1032/7)\n' | b'Simplify ((h/(h*h**8/h)*h)/((h/h**(6/7)*h)/h))**(-24) assuming h is positive.\n' | b'h**(1032/7)\n' | deepmind/math_dataset |
b'Suppose -35*a = -40*a + 320. Let b = a - 64. Solve -2*r - 5*v = -10, -5*r - v + 0*v - 21 = b for r.\n' | b'-5\n' | b'Suppose -35*a = -40*a + 320. Let b = a - 64. Solve -2*r - 5*v = -10, -5*r - v + 0*v - 21 = b for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(k) be the third derivative of -13*k**6/6 - 7*k**5/20 - k**4/24 - 26*k**2 - 4. Find the third derivative of o(q) wrt q.\n' | b'-1560\n' | b'Let o(k) be the third derivative of -13*k**6/6 - 7*k**5/20 - k**4/24 - 26*k**2 - 4. Find the third derivative of o(q) wrt q.\n' | b'-1560\n' | deepmind/math_dataset |
b'Suppose -2 = 8*n - 3*n - 3*l, -3*n + 14 = 2*l. Let s(u) = 0*u**2 - 13 + u**2 - n*u**2. Determine s(0).\n' | b'-13\n' | b'Suppose -2 = 8*n - 3*n - 3*l, -3*n + 14 = 2*l. Let s(u) = 0*u**2 - 13 + u**2 - n*u**2. Determine s(0).\n' | b'-13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, o: 1, m: 5, r: 3, v: 4}. Give prob of sequence mpr.\n' | b'5/728\n' | b'Three letters picked without replacement from {p: 1, o: 1, m: 5, r: 3, v: 4}. Give prob of sequence mpr.\n' | b'5/728\n' | deepmind/math_dataset |
b'Simplify (a**(-1/4)/a*a**(1/4)*(a*a/(a**(-1/2)/a)*a)**(-34))/(a/(a**(2/7)/a*a)*a*a**(-4)/a)**(1/10) assuming a is positive.\n' | b'a**(-10757/70)\n' | b'Simplify (a**(-1/4)/a*a**(1/4)*(a*a/(a**(-1/2)/a)*a)**(-34))/(a/(a**(2/7)/a*a)*a*a**(-4)/a)**(1/10) assuming a is positive.\n' | b'a**(-10757/70)\n' | deepmind/math_dataset |
b'Let q be (-4 - -2)/(-4)*0. Let u(y) be the first derivative of 7/2*y**2 - 2 + 0*y**4 + q*y**3 + 8/5*y**5 + 0*y. What is the second derivative of u(i) wrt i?\n' | b'96*i**2\n' | b'Let q be (-4 - -2)/(-4)*0. Let u(y) be the first derivative of 7/2*y**2 - 2 + 0*y**4 + q*y**3 + 8/5*y**5 + 0*y. What is the second derivative of u(i) wrt i?\n' | b'96*i**2\n' | deepmind/math_dataset |
b'What is prob of sequence vu when two letters picked without replacement from {s: 6, v: 2, w: 1, u: 1, i: 2}?\n' | b'1/66\n' | b'What is prob of sequence vu when two letters picked without replacement from {s: 6, v: 2, w: 1, u: 1, i: 2}?\n' | b'1/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 15, m: 2, u: 3}. What is prob of picking 1 u and 2 m?\n' | b'1/380\n' | b'Three letters picked without replacement from {t: 15, m: 2, u: 3}. What is prob of picking 1 u and 2 m?\n' | b'1/380\n' | deepmind/math_dataset |
b'Simplify (a**1*a*(a*a**4)/a)/(a**13/a)**(-8/9) assuming a is positive.\n' | b'a**(50/3)\n' | b'Simplify (a**1*a*(a*a**4)/a)/(a**13/a)**(-8/9) assuming a is positive.\n' | b'a**(50/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 2 b, and 1 q when four letters picked without replacement from {b: 2, d: 1, q: 1, f: 1, s: 2, e: 1}.\n' | b'1/70\n' | b'Calculate prob of picking 1 f, 2 b, and 1 q when four letters picked without replacement from {b: 2, d: 1, q: 1, f: 1, s: 2, e: 1}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of sequence fff when three letters picked without replacement from {f: 6, v: 2}.\n' | b'5/14\n' | b'Calculate prob of sequence fff when three letters picked without replacement from {f: 6, v: 2}.\n' | b'5/14\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-8))/(r/(r**(1/14)*r)))**(-49) assuming r is positive.\n' | b'r**(679/2)\n' | b'Simplify ((r*r**(-8))/(r/(r**(1/14)*r)))**(-49) assuming r is positive.\n' | b'r**(679/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vq when two letters picked without replacement from vvvvjjjjnjnuwuvwq.\n' | b'5/272\n' | b'Calculate prob of sequence vq when two letters picked without replacement from vvvvjjjjnjnuwuvwq.\n' | b'5/272\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, i: 7, q: 3, j: 4}. Give prob of picking 1 i and 3 q.\n' | b'7/3060\n' | b'Four letters picked without replacement from {f: 4, i: 7, q: 3, j: 4}. Give prob of picking 1 i and 3 q.\n' | b'7/3060\n' | deepmind/math_dataset |
b'Suppose -z + 3 = -0*z. Let y be (-35)/(-15) + 2/z. Solve 3*i - d - y = 3*d, -5*d = 3*i - 30 for i.\n' | b'5\n' | b'Suppose -z + 3 = -0*z. Let y be (-35)/(-15) + 2/z. Solve 3*i - d - y = 3*d, -5*d = 3*i - 30 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, b: 17}. What is prob of picking 1 h and 2 b?\n' | b'1/6\n' | b'Three letters picked without replacement from {h: 1, b: 17}. What is prob of picking 1 h and 2 b?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let p(t) = -7 + t**2 - 2 + 8 + 3*t - 2*t**2. Give p(3).\n' | b'-1\n' | b'Let p(t) = -7 + t**2 - 2 + 8 + 3*t - 2*t**2. Give p(3).\n' | b'-1\n' | deepmind/math_dataset |
b'Let p be ((-27)/36)/(1/(-4)). Let w be (p*10/(-30))/((-1)/5). Solve -2*x = -w*m, -m = 5*x - x for m.\n' | b'0\n' | b'Let p be ((-27)/36)/(1/(-4)). Let w be (p*10/(-30))/((-1)/5). Solve -2*x = -w*m, -m = 5*x - x for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let h(d) = 6*d + 30. Let z(u) = 1. Let r(k) = -h(k) - 3*z(k). Determine r(-7).\n' | b'9\n' | b'Let h(d) = 6*d + 30. Let z(u) = 1. Let r(k) = -h(k) - 3*z(k). Determine r(-7).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 3, g: 1, o: 1, e: 1, q: 1}. What is prob of sequence qhh?\n' | b'1/35\n' | b'Three letters picked without replacement from {h: 3, g: 1, o: 1, e: 1, q: 1}. What is prob of sequence qhh?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -7*p + 110 = -12*p. Let j = 27 + p. Solve -3*u + 14 = -5*y, 2*u + 12 = -3*y + j*u for y.\n' | b'-1\n' | b'Suppose -7*p + 110 = -12*p. Let j = 27 + p. Solve -3*u + 14 = -5*y, 2*u + 12 = -3*y + j*u for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yhssshhuusssyhhuyhsh. What is prob of sequence uhys?\n' | b'49/12920\n' | b'Four letters picked without replacement from yhssshhuusssyhhuyhsh. What is prob of sequence uhys?\n' | b'49/12920\n' | deepmind/math_dataset |
b'Four letters picked without replacement from whwtunu. Give prob of sequence uhnu.\n' | b'1/420\n' | b'Four letters picked without replacement from whwtunu. Give prob of sequence uhnu.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let n(r) = r**3 - 7*r**2 + 7*r + 2. Let s be n(6). Let h(z) = 3*z**2 + 18*z - 6. Let m(u) = -5*u**2 - 27*u + 10. Let b(v) = 8*h(v) + 5*m(v). Calculate b(s).\n' | b'10\n' | b'Let n(r) = r**3 - 7*r**2 + 7*r + 2. Let s be n(6). Let h(z) = 3*z**2 + 18*z - 6. Let m(u) = -5*u**2 - 27*u + 10. Let b(v) = 8*h(v) + 5*m(v). Calculate b(s).\n' | b'10\n' | deepmind/math_dataset |
b'Let p(f) be the first derivative of 8*f**3/3 + 6*f**2 + 8*f - 4564. What is p(-4)?\n' | b'88\n' | b'Let p(f) be the first derivative of 8*f**3/3 + 6*f**2 + 8*f - 4564. What is p(-4)?\n' | b'88\n' | deepmind/math_dataset |
b'Let d(h) = -2*h**3 + 4*h**2 - 3*h + 4. Let y be d(3). Let u = y + 27. Let n(r) = 5*r - 3*r - 10*r + u*r - 1. Give n(-1).\n' | b'3\n' | b'Let d(h) = -2*h**3 + 4*h**2 - 3*h + 4. Let y be d(3). Let u = y + 27. Let n(r) = 5*r - 3*r - 10*r + u*r - 1. Give n(-1).\n' | b'3\n' | deepmind/math_dataset |
b'Let a be 4*(-3)/(-4)*2. Let i(v) = v - 6. Let u be i(a). Differentiate u*x - 2 + 3*x - x wrt x.\n' | b'2\n' | b'Let a be 4*(-3)/(-4)*2. Let i(v) = v - 6. Let u be i(a). Differentiate u*x - 2 + 3*x - x wrt x.\n' | b'2\n' | deepmind/math_dataset |
b'Let h be (-7)/49 + (-92)/(-7). Solve 5*w - 23 - 1 = p, -2*w + h = 3*p for w.\n' | b'5\n' | b'Let h be (-7)/49 + (-92)/(-7). Solve 5*w - 23 - 1 = p, -2*w + h = 3*p for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let v = 459 + -455. Solve v = -o - 3*r + 4*r, 2*o + r - 4 = 0 for o.\n' | b'0\n' | b'Let v = 459 + -455. Solve v = -o - 3*r + 4*r, 2*o + r - 4 = 0 for o.\n' | b'0\n' | deepmind/math_dataset |
b'Find the first derivative of -2*l - 164 - 138*l**4 - 201 + 2*l wrt l.\n' | b'-552*l**3\n' | b'Find the first derivative of -2*l - 164 - 138*l**4 - 201 + 2*l wrt l.\n' | b'-552*l**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 2, m: 1, v: 1, y: 2}. What is prob of sequence yy?\n' | b'1/15\n' | b'Two letters picked without replacement from {u: 2, m: 1, v: 1, y: 2}. What is prob of sequence yy?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(h) = 4*h + 9. Let p be c(-3). Let j be (p/(-9))/(3/405). Let q = j - 29. Solve q = 5*v - 3*z, -z - 10 = -3*v + 2 for v.\n' | b'5\n' | b'Let c(h) = 4*h + 9. Let p be c(-3). Let j be (p/(-9))/(3/405). Let q = j - 29. Solve q = 5*v - 3*z, -z - 10 = -3*v + 2 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let s be 2/(-7) - (-88)/14. Let x = 170 - 171. Let a(r) = -21*r**2 + 39. Let o(b) = 2. Let c(d) = s*o(d) + x*a(d). Differentiate c(z) with respect to z.\n' | b'42*z\n' | b'Let s be 2/(-7) - (-88)/14. Let x = 170 - 171. Let a(r) = -21*r**2 + 39. Let o(b) = 2. Let c(d) = s*o(d) + x*a(d). Differentiate c(z) with respect to z.\n' | b'42*z\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhbhhhhhhhhhhhhhhhu. Give prob of picking 1 b and 1 h.\n' | b'17/171\n' | b'Two letters picked without replacement from hhbhhhhhhhhhhhhhhhu. Give prob of picking 1 b and 1 h.\n' | b'17/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, t: 1, c: 2, w: 1, e: 1, b: 1}. Give prob of sequence ewc.\n' | b'1/168\n' | b'Three letters picked without replacement from {m: 2, t: 1, c: 2, w: 1, e: 1, b: 1}. Give prob of sequence ewc.\n' | b'1/168\n' | deepmind/math_dataset |
b'Find the first derivative of 113 + 278*w + 119 - 73 + 14 + 48 wrt w.\n' | b'278\n' | b'Find the first derivative of 113 + 278*w + 119 - 73 + 14 + 48 wrt w.\n' | b'278\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 c, and 1 m when three letters picked without replacement from {c: 2, j: 2, m: 1}.\n' | b'2/5\n' | b'Calculate prob of picking 1 j, 1 c, and 1 m when three letters picked without replacement from {c: 2, j: 2, m: 1}.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify ((s*s/(s/(s/(s/(s*s/((s**1/s)/s))))))**0*(s*s/(s/(s**11*s)*s))/s**(-1/10))**(-3/11) assuming s is positive.\n' | b's**(-33/10)\n' | b'Simplify ((s*s/(s/(s/(s/(s*s/((s**1/s)/s))))))**0*(s*s/(s/(s**11*s)*s))/s**(-1/10))**(-3/11) assuming s is positive.\n' | b's**(-33/10)\n' | deepmind/math_dataset |
b'Calculate prob of sequence pnp when three letters picked without replacement from {p: 7, n: 2}.\n' | b'1/6\n' | b'Calculate prob of sequence pnp when three letters picked without replacement from {p: 7, n: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let w(j) be the first derivative of j**4/4 - 5*j**3/3 - 7*j**2/2 - j + 8. Determine w(6).\n' | b'-7\n' | b'Let w(j) be the first derivative of j**4/4 - 5*j**3/3 - 7*j**2/2 - j + 8. Determine w(6).\n' | b'-7\n' | deepmind/math_dataset |
b'Let m(l) = -175*l**4 - 6*l**3 + 12*l + 161. Let c(x) = 174*x**4 + 5*x**3 - 10*x - 161. Let b(h) = 6*c(h) + 5*m(h). Find the first derivative of b(p) wrt p.\n' | b'676*p**3\n' | b'Let m(l) = -175*l**4 - 6*l**3 + 12*l + 161. Let c(x) = 174*x**4 + 5*x**3 - 10*x - 161. Let b(h) = 6*c(h) + 5*m(h). Find the first derivative of b(p) wrt p.\n' | b'676*p**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 x when two letters picked without replacement from {h: 1, x: 1, p: 3, o: 6, v: 1, q: 1}?\n' | b'1/13\n' | b'What is prob of picking 1 o and 1 x when two letters picked without replacement from {h: 1, x: 1, p: 3, o: 6, v: 1, q: 1}?\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 l when two letters picked without replacement from lzlltgullujltzu?\n' | b'4/35\n' | b'What is prob of picking 1 z and 1 l when two letters picked without replacement from lzlltgullujltzu?\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tkctknkkkkckwk. What is prob of picking 1 k and 1 c?\n' | b'16/91\n' | b'Two letters picked without replacement from tkctknkkkkckwk. What is prob of picking 1 k and 1 c?\n' | b'16/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 6, h: 2, z: 5}. What is prob of picking 1 z and 2 h?\n' | b'5/286\n' | b'Three letters picked without replacement from {a: 6, h: 2, z: 5}. What is prob of picking 1 z and 2 h?\n' | b'5/286\n' | deepmind/math_dataset |
b'Let v(b) be the first derivative of 1/2*b**2 - 3 - 3*b. What is the derivative of v(x) wrt x?\n' | b'1\n' | b'Let v(b) be the first derivative of 1/2*b**2 - 3 - 3*b. What is the derivative of v(x) wrt x?\n' | b'1\n' | deepmind/math_dataset |
b'Let s(a) = -2*a - 77 - 5*a - 28 + 116 + 2*a. Suppose 16*x - 4 = -84. Determine s(x).\n' | b'36\n' | b'Let s(a) = -2*a - 77 - 5*a - 28 + 116 + 2*a. Suppose 16*x - 4 = -84. Determine s(x).\n' | b'36\n' | deepmind/math_dataset |
b'Let z = -64 + 66. Suppose 41 = 2*i + 5*o - 4*o, -i + z*o = -23. Differentiate 0 + 5 - i - 15 + 17*f wrt f.\n' | b'17\n' | b'Let z = -64 + 66. Suppose 41 = 2*i + 5*o - 4*o, -i + z*o = -23. Differentiate 0 + 5 - i - 15 + 17*f wrt f.\n' | b'17\n' | deepmind/math_dataset |
b'Let w(f) = -16*f + 3. Suppose 45 = 7*d + 31. What is w(d)?\n' | b'-29\n' | b'Let w(f) = -16*f + 3. Suppose 45 = 7*d + 31. What is w(d)?\n' | b'-29\n' | deepmind/math_dataset |
b'What is prob of sequence xxx when three letters picked without replacement from kkxkxxjxxxjkkxxx?\n' | b'3/20\n' | b'What is prob of sequence xxx when three letters picked without replacement from kkxkxxjxxxjkkxxx?\n' | b'3/20\n' | deepmind/math_dataset |
b'Let i(z) be the first derivative of z**3/3 + 3*z**2 - 11*z + 10. Let n be i(-8). Solve 5*u = 4*x - 20, -3*u + 5 = 2*x - n for x.\n' | b'5\n' | b'Let i(z) be the first derivative of z**3/3 + 3*z**2 - 11*z + 10. Let n be i(-8). Solve 5*u = 4*x - 20, -3*u + 5 = 2*x - n for x.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((r**9*r*(r**(-7)/r)/r)/(r**(-2/17)*r**(-6)/r))**24 assuming r is positive.\n' | b'r**(3312/17)\n' | b'Simplify ((r**9*r*(r**(-7)/r)/r)/(r**(-2/17)*r**(-6)/r))**24 assuming r is positive.\n' | b'r**(3312/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, m: 4}. Give prob of sequence yyym.\n' | b'7/66\n' | b'Four letters picked without replacement from {y: 7, m: 4}. Give prob of sequence yyym.\n' | b'7/66\n' | deepmind/math_dataset |
b'Let v be (4 + -1)*((-132)/(-9) - 13). Suppose v*m = -9*n + 8*n, 0 = m + n. Solve -4 = 4*p + 3*x, -3*x = -p - m - 16 for p.\n' | b'-4\n' | b'Let v be (4 + -1)*((-132)/(-9) - 13). Suppose v*m = -9*n + 8*n, 0 = m + n. Solve -4 = 4*p + 3*x, -3*x = -p - m - 16 for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*d = 8, -4*g + 52 = -d + 6*d. Suppose -4*l = -262*j + 267*j - 3, 3*j + 4*l + 3 = 0. Solve 5*z = 3*z - 2*c, j*z + c = -g for z.\n' | b'-4\n' | b'Suppose 2*d = 8, -4*g + 52 = -d + 6*d. Suppose -4*l = -262*j + 267*j - 3, 3*j + 4*l + 3 = 0. Solve 5*z = 3*z - 2*c, j*z + c = -g for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(f) = f + 0*f - 1 - 1. Let k = 4490 + -4483. What is d(k)?\n' | b'5\n' | b'Let d(f) = f + 0*f - 1 - 1. Let k = 4490 + -4483. What is d(k)?\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, a: 7, y: 2, p: 6, h: 1}. What is prob of picking 1 h, 1 y, and 1 c?\n' | b'1/204\n' | b'Three letters picked without replacement from {c: 2, a: 7, y: 2, p: 6, h: 1}. What is prob of picking 1 h, 1 y, and 1 c?\n' | b'1/204\n' | deepmind/math_dataset |
b'Simplify q**(-29)/((q*q*q/(q*(q**(-10)/q)/q))/q)*(q/(q**(-3/13)*q))**(13/6) assuming q is positive.\n' | b'q**(-83/2)\n' | b'Simplify q**(-29)/((q*q*q/(q*(q**(-10)/q)/q))/q)*(q/(q**(-3/13)*q))**(13/6) assuming q is positive.\n' | b'q**(-83/2)\n' | deepmind/math_dataset |
b'What is prob of sequence lee when three letters picked without replacement from {l: 2, e: 3}?\n' | b'1/5\n' | b'What is prob of sequence lee when three letters picked without replacement from {l: 2, e: 3}?\n' | b'1/5\n' | deepmind/math_dataset |
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