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'Four letters picked without replacement from {v: 5, m: 3, l: 5}. Give prob of picking 2 l and 2 m.\n' | b'6/143\n' | b'Four letters picked without replacement from {v: 5, m: 3, l: 5}. Give prob of picking 2 l and 2 m.\n' | b'6/143\n' | deepmind/math_dataset |
b'Simplify j**(-3/5)/j**(-1/5)*j**(5/3)*j**(-11) assuming j is positive.\n' | b'j**(-146/15)\n' | b'Simplify j**(-3/5)/j**(-1/5)*j**(5/3)*j**(-11) assuming j is positive.\n' | b'j**(-146/15)\n' | deepmind/math_dataset |
b'Let k(o) = o**3 - 4*o**2 + 3. Let i be k(4). Let q = 11757 - 11754. Suppose 0*g - i*g = -q*v, 5*g = 20. Solve -4*t - 37 = -5*l - t, -5*l + v*t + 41 = 0 for l.\n' | b'5\n' | b'Let k(o) = o**3 - 4*o**2 + 3. Let i be k(4). Let q = 11757 - 11754. Suppose 0*g - i*g = -q*v, 5*g = 20. Solve -4*t - 37 = -5*l - t, -5*l + v*t + 41 = 0 for l.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 1, e: 3, p: 5, x: 3}. What is prob of picking 3 p and 1 e?\n' | b'2/33\n' | b'Four letters picked without replacement from {c: 1, e: 3, p: 5, x: 3}. What is prob of picking 3 p and 1 e?\n' | b'2/33\n' | deepmind/math_dataset |
b'Simplify ((m*m*((m*m**(6/7))/m*m)/m*m)/(m/(m**(-4)*m)))**(-3/20)/((m**(-1))**(-38)/(m*m**(-6)*(m/(m/(m*m/m**(-3))))/m)) assuming m is positive.\n' | b'm**(-5457/140)\n' | b'Simplify ((m*m*((m*m**(6/7))/m*m)/m*m)/(m/(m**(-4)*m)))**(-3/20)/((m**(-1))**(-38)/(m*m**(-6)*(m/(m/(m*m/m**(-3))))/m)) assuming m is positive.\n' | b'm**(-5457/140)\n' | deepmind/math_dataset |
b'Suppose -3*j = p - 14, 0*p - 18 = -3*j + 3*p. Let z(r) = -r**3 + 0*r**2 - 7 - r + 6*r**2 - 3*r + 0*r**2. Calculate z(j).\n' | b'-2\n' | b'Suppose -3*j = p - 14, 0*p - 18 = -3*j + 3*p. Let z(r) = -r**3 + 0*r**2 - 7 - r + 6*r**2 - 3*r + 0*r**2. Calculate z(j).\n' | b'-2\n' | deepmind/math_dataset |
b'Let w = 1378 + -1366. Solve -k + 3*h = -0*k + 8, 0 = -k + 4*h - w for k.\n' | b'4\n' | b'Let w = 1378 + -1366. Solve -k + 3*h = -0*k + 8, 0 = -k + 4*h - w for k.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((g**(-18/5)/g*g)**(1/19)/(g/(g*g**(-19/2)))**(-3/20))**0 assuming g is positive.\n' | b'1\n' | b'Simplify ((g**(-18/5)/g*g)**(1/19)/(g/(g*g**(-19/2)))**(-3/20))**0 assuming g is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 9, f: 4, c: 1}. What is prob of picking 1 p and 1 c?\n' | b'9/91\n' | b'Two letters picked without replacement from {p: 9, f: 4, c: 1}. What is prob of picking 1 p and 1 c?\n' | b'9/91\n' | deepmind/math_dataset |
b'Suppose 8*h = 16*h - 16. Let y(g) be the third derivative of 1/24*g**4 + 0*g + 4*g**h + 0*g**3 + 0 + 2/15*g**5. What is y(-1)?\n' | b'7\n' | b'Suppose 8*h = 16*h - 16. Let y(g) be the third derivative of 1/24*g**4 + 0*g + 4*g**h + 0*g**3 + 0 + 2/15*g**5. What is y(-1)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (s*s**(-1/8))**(-45)/(s**(-35)*s**(-15)*s) assuming s is positive.\n' | b's**(77/8)\n' | b'Simplify (s*s**(-1/8))**(-45)/(s**(-35)*s**(-15)*s) assuming s is positive.\n' | b's**(77/8)\n' | deepmind/math_dataset |
b'Let a(b) = -11*b - 25. Let o = -5472 + 5468. Determine a(o).\n' | b'19\n' | b'Let a(b) = -11*b - 25. Let o = -5472 + 5468. Determine a(o).\n' | b'19\n' | deepmind/math_dataset |
b'Suppose 4*i + c = 45, -6*c + 3*c + 3 = 0. Suppose 0 = -5*h - 1 + i. Solve 2*d = -j + 2*j + 4, -h*d - j + 4 = 0 for d.\n' | b'2\n' | b'Suppose 4*i + c = 45, -6*c + 3*c + 3 = 0. Suppose 0 = -5*h - 1 + i. Solve 2*d = -j + 2*j + 4, -h*d - j + 4 = 0 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let c(o) = -o**3 - 4*o**2 - 7*o - 6. Let k be c(-3). Let h = -1 - -1. Solve t = 3*x - 1 + 3, h = 3*t - 5*x - k for t.\n' | b'2\n' | b'Let c(o) = -o**3 - 4*o**2 - 7*o - 6. Let k be c(-3). Let h = -1 - -1. Solve t = 3*x - 1 + 3, h = 3*t - 5*x - k for t.\n' | b'2\n' | deepmind/math_dataset |
b'Let d(i) be the first derivative of i**5/15 + 2*i**3/3 - 5*i**2/2 + 5. Let j(h) be the second derivative of d(h). What is the derivative of j(c) wrt c?\n' | b'8*c\n' | b'Let d(i) be the first derivative of i**5/15 + 2*i**3/3 - 5*i**2/2 + 5. Let j(h) be the second derivative of d(h). What is the derivative of j(c) wrt c?\n' | b'8*c\n' | deepmind/math_dataset |
b'Simplify ((y**(-5/3)*y/(y/(y/y**(-11))))/(y**(-3))**(2/25))**45 assuming y is positive.\n' | b'y**(2379/5)\n' | b'Simplify ((y**(-5/3)*y/(y/(y/y**(-11))))/(y**(-3))**(2/25))**45 assuming y is positive.\n' | b'y**(2379/5)\n' | deepmind/math_dataset |
b'Suppose 8*t - 442 = -5*t. Suppose -7*p - t = -9*p. Solve -2*w + 3 = 2*g + p, -2*g - w - 10 = 0 for g.\n' | b'-3\n' | b'Suppose 8*t - 442 = -5*t. Suppose -7*p - t = -9*p. Solve -2*w + 3 = 2*g + p, -2*g - w - 10 = 0 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrexerceeereerxrrr. Give prob of sequence ece.\n' | b'7/816\n' | b'Three letters picked without replacement from rrexerceeereerxrrr. Give prob of sequence ece.\n' | b'7/816\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 m when two letters picked without replacement from wmmwmmmmwswmmwswwm?\n' | b'7/17\n' | b'What is prob of picking 1 w and 1 m when two letters picked without replacement from wmmwmmmmwswmmwswwm?\n' | b'7/17\n' | deepmind/math_dataset |
b'Simplify (((((x*x*x**(-7)*x*x)/x)/x)/x*x)/(x/x**7)*(x*x**1)**(-23))/((x**2/((x/x**(-2/9))/x))/(x**2*x*x/(x*x**0))) assuming x is positive.\n' | b'x**(-394/9)\n' | b'Simplify (((((x*x*x**(-7)*x*x)/x)/x)/x*x)/(x/x**7)*(x*x**1)**(-23))/((x**2/((x/x**(-2/9))/x))/(x**2*x*x/(x*x**0))) assuming x is positive.\n' | b'x**(-394/9)\n' | deepmind/math_dataset |
b'Simplify y/(y*y**(-18)*y*y*y*y)*y*y**6 assuming y is positive.\n' | b'y**21\n' | b'Simplify y/(y*y**(-18)*y*y*y*y)*y*y**6 assuming y is positive.\n' | b'y**21\n' | deepmind/math_dataset |
b'Simplify ((n*n**0)/(n**(-22)*n)*n**(-17)/n**13)**(-18) assuming n is positive.\n' | b'n**144\n' | b'Simplify ((n*n**0)/(n**(-22)*n)*n**(-17)/n**13)**(-18) assuming n is positive.\n' | b'n**144\n' | deepmind/math_dataset |
b'Suppose -40 = 438*o - 458*o. Solve o*g + 14 = 4*z + 4*g, 3*z = 4*g + 16 for z.\n' | b'4\n' | b'Suppose -40 = 438*o - 458*o. Solve o*g + 14 = 4*z + 4*g, 3*z = 4*g + 16 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = -26*z + 5*z + 1974. Find the third derivative of -1 + 10*i**2 - z*i**5 - i**3 + 80*i**5 - 2*i**3 wrt i.\n' | b'-840*i**2 - 18\n' | b'Suppose 0 = -26*z + 5*z + 1974. Find the third derivative of -1 + 10*i**2 - z*i**5 - i**3 + 80*i**5 - 2*i**3 wrt i.\n' | b'-840*i**2 - 18\n' | deepmind/math_dataset |
b'Let d = 41 - 39. What is the third derivative of 3*s**4 - 4*s**4 - 35*s**2 - 32*s**2 - 67*s**2 + 108*s**6 + 41*s**d wrt s?\n' | b'12960*s**3 - 24*s\n' | b'Let d = 41 - 39. What is the third derivative of 3*s**4 - 4*s**4 - 35*s**2 - 32*s**2 - 67*s**2 + 108*s**6 + 41*s**d wrt s?\n' | b'12960*s**3 - 24*s\n' | deepmind/math_dataset |
b'Let j = -384 - -385. Let b(m) = 19*m - 8. Determine b(j).\n' | b'11\n' | b'Let j = -384 - -385. Let b(m) = 19*m - 8. Determine b(j).\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of picking 2 a and 1 r when three letters picked without replacement from aaqqgqaggaqrqgaaaa?\n' | b'7/204\n' | b'What is prob of picking 2 a and 1 r when three letters picked without replacement from aaqqgqaggaqrqgaaaa?\n' | b'7/204\n' | deepmind/math_dataset |
b'Let u(i) = i**3 - i**2 - i. Let h(a) be the first derivative of -a**4 + 2*a**3/3 + a**2 - a + 7. Let r(y) = -h(y) - 2*u(y). Determine r(-1).\n' | b'-1\n' | b'Let u(i) = i**3 - i**2 - i. Let h(a) be the first derivative of -a**4 + 2*a**3/3 + a**2 - a + 7. Let r(y) = -h(y) - 2*u(y). Determine r(-1).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence xd when two letters picked without replacement from zkdxdkkoxgdgkgkxgzkg.\n' | b'9/380\n' | b'Calculate prob of sequence xd when two letters picked without replacement from zkdxdkkoxgdgkgkxgzkg.\n' | b'9/380\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yvd. Give prob of sequence yvd.\n' | b'1/6\n' | b'Three letters picked without replacement from yvd. Give prob of sequence yvd.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 2, i: 1, z: 2, v: 1}. What is prob of picking 2 z?\n' | b'1/15\n' | b'Two letters picked without replacement from {t: 2, i: 1, z: 2, v: 1}. What is prob of picking 2 z?\n' | b'1/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yzzdzifzzyzfydzy. What is prob of picking 1 d and 1 z?\n' | b'7/60\n' | b'Two letters picked without replacement from yzzdzifzzyzfydzy. What is prob of picking 1 d and 1 z?\n' | b'7/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkrrk. Give prob of picking 2 k and 2 r.\n' | b'2/5\n' | b'Four letters picked without replacement from kkkrrk. Give prob of picking 2 k and 2 r.\n' | b'2/5\n' | deepmind/math_dataset |
b'Let q(o) be the first derivative of 25*o**3/3 + 23*o**2/2 + 4*o + 346. Find the second derivative of q(x) wrt x.\n' | b'50\n' | b'Let q(o) be the first derivative of 25*o**3/3 + 23*o**2/2 + 4*o + 346. Find the second derivative of q(x) wrt x.\n' | b'50\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 2, v: 4}. Give prob of picking 3 v and 1 x.\n' | b'8/15\n' | b'Four letters picked without replacement from {x: 2, v: 4}. Give prob of picking 3 v and 1 x.\n' | b'8/15\n' | deepmind/math_dataset |
b'Simplify (w/w**(-12/13))/(w*w*w**(-16))*(w*w*w*w**(-2/9)*w*w)**(3/17) assuming w is positive.\n' | b'w**(11116/663)\n' | b'Simplify (w/w**(-12/13))/(w*w*w**(-16))*(w*w*w*w**(-2/9)*w*w)**(3/17) assuming w is positive.\n' | b'w**(11116/663)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 5, u: 4, b: 1, p: 3}. Give prob of sequence pb.\n' | b'1/52\n' | b'Two letters picked without replacement from {a: 5, u: 4, b: 1, p: 3}. Give prob of sequence pb.\n' | b'1/52\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, r: 1, t: 4, f: 3, x: 4}. Give prob of picking 1 l, 1 t, and 1 x.\n' | b'8/143\n' | b'Three letters picked without replacement from {l: 1, r: 1, t: 4, f: 3, x: 4}. Give prob of picking 1 l, 1 t, and 1 x.\n' | b'8/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, j: 1, z: 1, n: 3, k: 1}. What is prob of sequence jz?\n' | b'1/42\n' | b'Two letters picked without replacement from {w: 1, j: 1, z: 1, n: 3, k: 1}. What is prob of sequence jz?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let r(d) = d**3 + 6*d**2 - 8*d - 3. Let m be r(-7). Let u be m - (-1 + -1 - -3). Suppose -j = u*j - 8. Let z(h) = 4*h + 1. Determine z(j).\n' | b'9\n' | b'Let r(d) = d**3 + 6*d**2 - 8*d - 3. Let m be r(-7). Let u be m - (-1 + -1 - -3). Suppose -j = u*j - 8. Let z(h) = 4*h + 1. Determine z(j).\n' | b'9\n' | deepmind/math_dataset |
b'Let m(t) be the first derivative of -21*t**6/2 - t**3/3 - 2*t**2 + 45. What is the third derivative of m(b) wrt b?\n' | b'-3780*b**2\n' | b'Let m(t) be the first derivative of -21*t**6/2 - t**3/3 - 2*t**2 + 45. What is the third derivative of m(b) wrt b?\n' | b'-3780*b**2\n' | deepmind/math_dataset |
b'Let p(l) = -2*l - 1. Let h = 0 + -3. Let r be p(h). Find the second derivative of -3*w**5 + 0*w + 7*w**r - w wrt w.\n' | b'80*w**3\n' | b'Let p(l) = -2*l - 1. Let h = 0 + -3. Let r be p(h). Find the second derivative of -3*w**5 + 0*w + 7*w**r - w wrt w.\n' | b'80*w**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 i when two letters picked without replacement from uixbguv?\n' | b'1/21\n' | b'What is prob of picking 1 g and 1 i when two letters picked without replacement from uixbguv?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let f(m) = -m**3 + 6*m - 3. Let h(b) = -2*b**3 + 7*b - 4. Let y(a) = -4*f(a) + 3*h(a). What is the second derivative of y(t) wrt t?\n' | b'-12*t\n' | b'Let f(m) = -m**3 + 6*m - 3. Let h(b) = -2*b**3 + 7*b - 4. Let y(a) = -4*f(a) + 3*h(a). What is the second derivative of y(t) wrt t?\n' | b'-12*t\n' | deepmind/math_dataset |
b'Let p(q) = -q**2 - 6*q + 7. Let w(n) = -n**3 - 6*n**2 - 5*n - 7. Let s be w(-5). Let b be p(s). Solve -c = -b*c - 3*g - 16, -c + g = -8 for c.\n' | b'4\n' | b'Let p(q) = -q**2 - 6*q + 7. Let w(n) = -n**3 - 6*n**2 - 5*n - 7. Let s be w(-5). Let b be p(s). Solve -c = -b*c - 3*g - 16, -c + g = -8 for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is the first derivative of 153 - 17*z - 22*z - 14*z - 13*z + 79*z wrt z?\n' | b'13\n' | b'What is the first derivative of 153 - 17*z - 22*z - 14*z - 13*z + 79*z wrt z?\n' | b'13\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {j: 2, r: 4, w: 1, p: 2, k: 2, c: 1}.\n' | b'1/110\n' | b'Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {j: 2, r: 4, w: 1, p: 2, k: 2, c: 1}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Suppose -5*t + 20 = -0*t, 0 = -l + 5*t - 15. Suppose 0 = 2*s - 2*w, -4*s - 4*w = -l*s - 12. Differentiate 0 + 8*i**s - 5*i**4 - 2 wrt i.\n' | b'12*i**3\n' | b'Suppose -5*t + 20 = -0*t, 0 = -l + 5*t - 15. Suppose 0 = 2*s - 2*w, -4*s - 4*w = -l*s - 12. Differentiate 0 + 8*i**s - 5*i**4 - 2 wrt i.\n' | b'12*i**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ydssddddddyyydds. What is prob of sequence dsd?\n' | b'9/140\n' | b'Three letters picked without replacement from ydssddddddyyydds. What is prob of sequence dsd?\n' | b'9/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 2, y: 2, k: 5}. What is prob of picking 1 y and 1 k?\n' | b'5/18\n' | b'Two letters picked without replacement from {h: 2, y: 2, k: 5}. What is prob of picking 1 y and 1 k?\n' | b'5/18\n' | deepmind/math_dataset |
b'Simplify ((h**2)**(-38)/((h*h**(2/7)/h*h)/h)**(1/6))**(-14) assuming h is positive.\n' | b'h**(3194/3)\n' | b'Simplify ((h**2)**(-38)/((h*h**(2/7)/h*h)/h)**(1/6))**(-14) assuming h is positive.\n' | b'h**(3194/3)\n' | deepmind/math_dataset |
b'Let g be (-4)/((-4)/(-4)) + -1 + 9. Solve c + 2*x + 3 = 0, 0 = 4*c - c - g*x + 9 for c.\n' | b'-3\n' | b'Let g be (-4)/((-4)/(-4)) + -1 + 9. Solve c + 2*x + 3 = 0, 0 = 4*c - c - g*x + 9 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llalllaall. What is prob of picking 1 a and 1 l?\n' | b'7/15\n' | b'Two letters picked without replacement from llalllaall. What is prob of picking 1 a and 1 l?\n' | b'7/15\n' | deepmind/math_dataset |
b'Let k(s) be the first derivative of 111*s**2/2 - 103*s - 77. What is the first derivative of k(t) wrt t?\n' | b'111\n' | b'Let k(s) be the first derivative of 111*s**2/2 - 103*s - 77. What is the first derivative of k(t) wrt t?\n' | b'111\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 5, m: 3, n: 1, j: 5, v: 1}. Give prob of picking 1 n and 1 j.\n' | b'1/21\n' | b'Two letters picked without replacement from {i: 5, m: 3, n: 1, j: 5, v: 1}. Give prob of picking 1 n and 1 j.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let j be -1*(-8)/4 - -3. Let z(l) = 7*l + j + l**2 - 4*l + 2*l. Let i = -12 + 7. What is z(i)?\n' | b'5\n' | b'Let j be -1*(-8)/4 - -3. Let z(l) = 7*l + j + l**2 - 4*l + 2*l. Let i = -12 + 7. What is z(i)?\n' | b'5\n' | deepmind/math_dataset |
b'Let j(i) = -176*i**2 - 2*i - 25. Let a(k) = 175*k**2 + 2*k + 25. Let h(v) = 5*a(v) + 4*j(v). What is the second derivative of h(u) wrt u?\n' | b'342\n' | b'Let j(i) = -176*i**2 - 2*i - 25. Let a(k) = 175*k**2 + 2*k + 25. Let h(v) = 5*a(v) + 4*j(v). What is the second derivative of h(u) wrt u?\n' | b'342\n' | deepmind/math_dataset |
b'Let t(f) = 8*f**3 - 2*f**2 - f. Suppose -2*k = 2*n + 6, -4*n = 5*k - 9*k + 4. Let i be (-9 + (-4 - -7))*n/4. Let w be (i + 16/(-6))*-3. Determine t(w).\n' | b'-9\n' | b'Let t(f) = 8*f**3 - 2*f**2 - f. Suppose -2*k = 2*n + 6, -4*n = 5*k - 9*k + 4. Let i be (-9 + (-4 - -7))*n/4. Let w be (i + 16/(-6))*-3. Determine t(w).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 b when two letters picked without replacement from {f: 1, b: 4, x: 7, j: 2, q: 2}?\n' | b'1/15\n' | b'What is prob of picking 1 j and 1 b when two letters picked without replacement from {f: 1, b: 4, x: 7, j: 2, q: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c = 12 + -10. Solve -4*m = -5*x + 19, x = c*m - 5*m for x.\n' | b'3\n' | b'Let c = 12 + -10. Solve -4*m = -5*x + 19, x = c*m - 5*m for x.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 g when three letters picked without replacement from ggnggggggng?\n' | b'28/55\n' | b'What is prob of picking 3 g when three letters picked without replacement from ggnggggggng?\n' | b'28/55\n' | deepmind/math_dataset |
b'Let p(t) be the second derivative of -t**4/4 + 2*t**3/3 - 3*t**2/2 + 2*t. Let m(h) = -55*h - 4783. Let g be m(-87). Give p(g).\n' | b'-7\n' | b'Let p(t) be the second derivative of -t**4/4 + 2*t**3/3 - 3*t**2/2 + 2*t. Let m(h) = -55*h - 4783. Let g be m(-87). Give p(g).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify k**26/k**(-1/15) assuming k is positive.\n' | b'k**(391/15)\n' | b'Simplify k**26/k**(-1/15) assuming k is positive.\n' | b'k**(391/15)\n' | deepmind/math_dataset |
b'What is prob of sequence qdx when three letters picked without replacement from onpoqponxnxqqdo?\n' | b'1/455\n' | b'What is prob of sequence qdx when three letters picked without replacement from onpoqponxnxqqdo?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let u be ((-8)/3 - -3)*333. Let l(c) = -u*c - 1 + 51*c + 54*c. Give l(-4).\n' | b'23\n' | b'Let u be ((-8)/3 - -3)*333. Let l(c) = -u*c - 1 + 51*c + 54*c. Give l(-4).\n' | b'23\n' | deepmind/math_dataset |
b'Let s(w) = 0*w + 0*w - 3*w - w**2. Let c(z) = -z**2 + 1. Let m be c(-1). Suppose -h + m*h = 4. Give s(h).\n' | b'-4\n' | b'Let s(w) = 0*w + 0*w - 3*w - w**2. Let c(z) = -z**2 + 1. Let m be c(-1). Suppose -h + m*h = 4. Give s(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(y) = -22*y - 32. Let t(c) = -9*c - 13. Let s(v) = -5*d(v) + 12*t(v). Let m be s(0). Differentiate -25*f**4 - 2 + 42*f**m - 3 with respect to f.\n' | b'68*f**3\n' | b'Let d(y) = -22*y - 32. Let t(c) = -9*c - 13. Let s(v) = -5*d(v) + 12*t(v). Let m be s(0). Differentiate -25*f**4 - 2 + 42*f**m - 3 with respect to f.\n' | b'68*f**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv?\n' | b'1\n' | b'Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 o when three letters picked without replacement from {b: 3, k: 6, f: 1, o: 3, z: 2}?\n' | b'1/455\n' | b'What is prob of picking 3 o when three letters picked without replacement from {b: 3, k: 6, f: 1, o: 3, z: 2}?\n' | b'1/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbvvkvv. Give prob of picking 2 v.\n' | b'2/7\n' | b'Two letters picked without replacement from bbvvkvv. Give prob of picking 2 v.\n' | b'2/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ukkkkukk. Give prob of picking 4 k.\n' | b'3/14\n' | b'Four letters picked without replacement from ukkkkukk. Give prob of picking 4 k.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let m(q) be the first derivative of -2*q**7/3 - 2*q**3/3 + 12*q - 39. Let g(r) be the first derivative of m(r). What is the second derivative of g(l) wrt l?\n' | b'-560*l**3\n' | b'Let m(q) be the first derivative of -2*q**7/3 - 2*q**3/3 + 12*q - 39. Let g(r) be the first derivative of m(r). What is the second derivative of g(l) wrt l?\n' | b'-560*l**3\n' | deepmind/math_dataset |
b'Let f be -4*(-3)/6*2. Suppose 5*o - 3*o = -3*o. Let d = 2 + o. Solve -2*y + 5*t = -25, -4*t - f - 18 = -d*y for y.\n' | b'5\n' | b'Let f be -4*(-3)/6*2. Suppose 5*o - 3*o = -3*o. Let d = 2 + o. Solve -2*y + 5*t = -25, -4*t - f - 18 = -d*y for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((w**(-3/5)*w**(-3)/w*w)/((w/(w/w**(-9)))/(w**(4/11)/w)))**29)**(2/5) assuming w is positive.\n' | b'w**(15196/275)\n' | b'Simplify (((w**(-3/5)*w**(-3)/w*w)/((w/(w/w**(-9)))/(w**(4/11)/w)))**29)**(2/5) assuming w is positive.\n' | b'w**(15196/275)\n' | deepmind/math_dataset |
b'Suppose -7*d = -10*d + 24. Suppose -d*k + 163 + 213 = 0. Let s = k - 42. Solve 0 = -5*l + s*n - 20, -1 = -l - 2*n - 2 for l.\n' | b'-3\n' | b'Suppose -7*d = -10*d + 24. Suppose -d*k + 163 + 213 = 0. Let s = k - 42. Solve 0 = -5*l + s*n - 20, -1 = -l - 2*n - 2 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from khbzohc. Give prob of sequence bz.\n' | b'1/42\n' | b'Two letters picked without replacement from khbzohc. Give prob of sequence bz.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let f(y) be the second derivative of y**3/3 + 7*y**2/2 - 2*y - 20. What is f(0)?\n' | b'7\n' | b'Let f(y) be the second derivative of y**3/3 + 7*y**2/2 - 2*y - 20. What is f(0)?\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 9, x: 3}.\n' | b'12/55\n' | b'Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 9, x: 3}.\n' | b'12/55\n' | deepmind/math_dataset |
b'Let d(r) = r**3 - 4*r + 1. Let t(m) = -m**3 + 3*m. Let b(s) = -3*d(s) - 4*t(s). What is the first derivative of b(w) wrt w?\n' | b'3*w**2\n' | b'Let d(r) = r**3 - 4*r + 1. Let t(m) = -m**3 + 3*m. Let b(s) = -3*d(s) - 4*t(s). What is the first derivative of b(w) wrt w?\n' | b'3*w**2\n' | deepmind/math_dataset |
b'Let p(m) = -m**2 - 10*m - 5. Let l be p(-9). Solve 0 = -l*b - 3*y + 11 - 1, 2*y + 8 = b for b.\n' | b'4\n' | b'Let p(m) = -m**2 - 10*m - 5. Let l be p(-9). Solve 0 = -l*b - 3*y + 11 - 1, 2*y + 8 = b for b.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c/c**(-23))**(-4/17) assuming c is positive.\n' | b'c**(-96/17)\n' | b'Simplify (c/c**(-23))**(-4/17) assuming c is positive.\n' | b'c**(-96/17)\n' | deepmind/math_dataset |
b'Let u(s) = 2*s. Let h(j) = j + 2. Let g(o) = 3*h(o) - u(o). What is g(-8)?\n' | b'-2\n' | b'Let u(s) = 2*s. Let h(j) = j + 2. Let g(o) = 3*h(o) - u(o). What is g(-8)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = 7*i - 1931 - 645. Find the third derivative of 2*c**3 - 6*c**4 + 7 - i*c**2 - 5*c**4 + 363*c**2 wrt c.\n' | b'-264*c + 12\n' | b'Suppose 0 = 7*i - 1931 - 645. Find the third derivative of 2*c**3 - 6*c**4 + 7 - i*c**2 - 5*c**4 + 363*c**2 wrt c.\n' | b'-264*c + 12\n' | deepmind/math_dataset |
b'What is prob of sequence ntt when three letters picked without replacement from {t: 5, n: 2}?\n' | b'4/21\n' | b'What is prob of sequence ntt when three letters picked without replacement from {t: 5, n: 2}?\n' | b'4/21\n' | deepmind/math_dataset |
b'Let x be (-14)/(-4) - (-3)/6. Let c(a) be the first derivative of -a**3 + 2*a**3 - 6 - 10 + x*a**4 + 2*a**3. What is the third derivative of c(u) wrt u?\n' | b'96\n' | b'Let x be (-14)/(-4) - (-3)/6. Let c(a) be the first derivative of -a**3 + 2*a**3 - 6 - 10 + x*a**4 + 2*a**3. What is the third derivative of c(u) wrt u?\n' | b'96\n' | deepmind/math_dataset |
b'Let k(u) = -3*u**2 - u - 12. Let g(r) = -1608*r**2 + r + 6241. Let z(h) = g(h) + k(h). Differentiate z(p) wrt p.\n' | b'-3222*p\n' | b'Let k(u) = -3*u**2 - u - 12. Let g(r) = -1608*r**2 + r + 6241. Let z(h) = g(h) + k(h). Differentiate z(p) wrt p.\n' | b'-3222*p\n' | deepmind/math_dataset |
b'Let a be ((-35)/(-4))/((-2)/(-8)). Suppose 6*j = -5 + a. Solve -25 = -5*p - 5*f, 0*p - 2*p + j*f = 4 for p.\n' | b'3\n' | b'Let a be ((-35)/(-4))/((-2)/(-8)). Suppose 6*j = -5 + a. Solve -25 = -5*p - 5*f, 0*p - 2*p + j*f = 4 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let o be (-9)/((-612)/(-8)) + 3843/153. Solve 0 = -h + 4*j - o, -j = 5*h - 0*h + 20 for h.\n' | b'-5\n' | b'Let o be (-9)/((-612)/(-8)) + 3843/153. Solve 0 = -h + 4*j - o, -j = 5*h - 0*h + 20 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(g) = -2*g**2 + 2*g + 1. Let t = 4 - 7. Let w be 1*(t - (-3 - 2)). Give i(w).\n' | b'-3\n' | b'Let i(g) = -2*g**2 + 2*g + 1. Let t = 4 - 7. Let w be 1*(t - (-3 - 2)). Give i(w).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((w*w**(17/3))/(w*w/(w**(1/2)*w)))/((w/((w*w**24)/w))/w*w)**44 assuming w is positive.\n' | b'w**(6109/6)\n' | b'Simplify ((w*w**(17/3))/(w*w/(w**(1/2)*w)))/((w/((w*w**24)/w))/w*w)**44 assuming w is positive.\n' | b'w**(6109/6)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbbbngggngg. What is prob of sequence gbbb?\n' | b'5/198\n' | b'Four letters picked without replacement from bbbbbngggngg. What is prob of sequence gbbb?\n' | b'5/198\n' | deepmind/math_dataset |
b'Simplify ((((h*h**(-2)*h*h)/h)/h)/(h/(h*h**(-4)*h)))/(h*h**(-3/5)*h**(3/5)) assuming h is positive.\n' | b'h**(-5)\n' | b'Simplify ((((h*h**(-2)*h*h)/h)/h)/(h/(h*h**(-4)*h)))/(h*h**(-3/5)*h**(3/5)) assuming h is positive.\n' | b'h**(-5)\n' | deepmind/math_dataset |
b'Let k(t) = 3*t + 11. Let x(j) = 10*j + 32. Let g(a) = -7*k(a) + 2*x(a). What is g(-6)?\n' | b'-7\n' | b'Let k(t) = 3*t + 11. Let x(j) = 10*j + 32. Let g(a) = -7*k(a) + 2*x(a). What is g(-6)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let h = 41 + -41. Suppose h = 2*r + 1 - 7. Find the second derivative of 13*b - 4*b**3 + 13*b - 7*b**3 + 4*b**r wrt b.\n' | b'-42*b\n' | b'Let h = 41 + -41. Suppose h = 2*r + 1 - 7. Find the second derivative of 13*b - 4*b**3 + 13*b - 7*b**3 + 4*b**r wrt b.\n' | b'-42*b\n' | deepmind/math_dataset |
b'Suppose 0 = -3*y - 35 + 20, -4*y = 4*p. Solve -p*i = -4*i - z + 7, 2*z + 14 = -5*i for i.\n' | b'-4\n' | b'Suppose 0 = -3*y - 35 + 20, -4*y = 4*p. Solve -p*i = -4*i - z + 7, 2*z + 14 = -5*i for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p be (-1)/(-3) - 4/(-6). Let d = -110 + 113. Let v be -1 + p/(d/3). Solve 2*b = b - 3*i + 14, v = -b + i + 2 for b.\n' | b'5\n' | b'Let p be (-1)/(-3) - 4/(-6). Let d = -110 + 113. Let v be -1 + p/(d/3). Solve 2*b = b - 3*i + 14, v = -b + i + 2 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let t(g) = 4*g**2 - 2*g + 66. Let z(o) = -6*o**2 + 2*o. Let m(r) = t(r) + 3*z(r). What is the second derivative of m(x) wrt x?\n' | b'-28\n' | b'Let t(g) = 4*g**2 - 2*g + 66. Let z(o) = -6*o**2 + 2*o. Let m(r) = t(r) + 3*z(r). What is the second derivative of m(x) wrt x?\n' | b'-28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zsh. What is prob of sequence sh?\n' | b'1/6\n' | b'Two letters picked without replacement from zsh. What is prob of sequence sh?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is the third derivative of -88*v**4 + 89*v**4 - 2 - 502*v + 60*v + 11 - 327*v**3 + v**2 wrt v?\n' | b'24*v - 1962\n' | b'What is the third derivative of -88*v**4 + 89*v**4 - 2 - 502*v + 60*v + 11 - 327*v**3 + v**2 wrt v?\n' | b'24*v - 1962\n' | deepmind/math_dataset |
b'Let z(a) = -a**2 + 8*a - 2. Let s(q) = -q + 11. Let t be s(5). Let f be (-60)/(-8) + (-3)/t. Determine z(f).\n' | b'5\n' | b'Let z(a) = -a**2 + 8*a - 2. Let s(q) = -q + 11. Let t be s(5). Let f be (-60)/(-8) + (-3)/t. Determine z(f).\n' | b'5\n' | deepmind/math_dataset |
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