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 hnybybybynybytyynhh. What is prob of picking 1 h and 3 b?\n' | b'1/323\n' | b'Four letters picked without replacement from hnybybybynybytyynhh. What is prob of picking 1 h and 3 b?\n' | b'1/323\n' | deepmind/math_dataset |
b'Let t be (-3)/9 + 120/9. Let q be (14 - t) + 2/2. Solve -6 = -q*v + 4*b, b - 11 + 2 = 4*v for v.\n' | b'-3\n' | b'Let t be (-3)/9 + 120/9. Let q be (14 - t) + 2/2. Solve -6 = -q*v + 4*b, b - 11 + 2 = 4*v for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (y**7/y**32)**(9/10) assuming y is positive.\n' | b'y**(-45/2)\n' | b'Simplify (y**7/y**32)**(9/10) assuming y is positive.\n' | b'y**(-45/2)\n' | deepmind/math_dataset |
b'Simplify r**18*r*r**(6/7)*(r*(r/(r*r**(-3/7)))/r*r)**10 assuming r is positive.\n' | b'r**(239/7)\n' | b'Simplify r**18*r*r**(6/7)*(r*(r/(r*r**(-3/7)))/r*r)**10 assuming r is positive.\n' | b'r**(239/7)\n' | deepmind/math_dataset |
b'Simplify j*j**(-3/2)*j*j**(-5/11) assuming j is positive.\n' | b'j**(1/22)\n' | b'Simplify j*j**(-3/2)*j*j**(-5/11) assuming j is positive.\n' | b'j**(1/22)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cghvqvvv. Give prob of picking 1 q, 1 h, and 1 g.\n' | b'1/56\n' | b'Three letters picked without replacement from cghvqvvv. Give prob of picking 1 q, 1 h, and 1 g.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let q(c) = 2*c - 1. Let k(g) = 990*g**4 - 20*g + 496. Let z(o) = -k(o) - 10*q(o). Differentiate z(f) wrt f.\n' | b'-3960*f**3\n' | b'Let q(c) = 2*c - 1. Let k(g) = 990*g**4 - 20*g + 496. Let z(o) = -k(o) - 10*q(o). Differentiate z(f) wrt f.\n' | b'-3960*f**3\n' | deepmind/math_dataset |
b'Let g be (247/39)/((-3)/(-9)*-1). Let x = g - -22. Let p(j) = -3*j**3 - j**2 - j. Let o be p(-1). Solve -f - 1 = 2*n + n, -x = o*f - n for f.\n' | b'-1\n' | b'Let g be (247/39)/((-3)/(-9)*-1). Let x = g - -22. Let p(j) = -3*j**3 - j**2 - j. Let o be p(-1). Solve -f - 1 = 2*n + n, -x = o*f - n for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 4 y when four letters picked without replacement from yyyyyy?\n' | b'1\n' | b'What is prob of picking 4 y when four letters picked without replacement from yyyyyy?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, h: 5, l: 5, j: 3, r: 5}. Give prob of picking 1 r and 1 l.\n' | b'25/171\n' | b'Two letters picked without replacement from {a: 1, h: 5, l: 5, j: 3, r: 5}. Give prob of picking 1 r and 1 l.\n' | b'25/171\n' | deepmind/math_dataset |
b'Let w(g) be the second derivative of 0 + 0*g**2 + 109/6*g**3 - 1/10*g**5 + 1/12*g**4 - 64*g. What is the second derivative of w(l) wrt l?\n' | b'-12*l + 2\n' | b'Let w(g) be the second derivative of 0 + 0*g**2 + 109/6*g**3 - 1/10*g**5 + 1/12*g**4 - 64*g. What is the second derivative of w(l) wrt l?\n' | b'-12*l + 2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, v: 1, y: 1, i: 1, c: 1, a: 1}. Give prob of picking 1 i, 1 y, 1 z, and 1 c.\n' | b'2/35\n' | b'Four letters picked without replacement from {z: 2, v: 1, y: 1, i: 1, c: 1, a: 1}. Give prob of picking 1 i, 1 y, 1 z, and 1 c.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let t(r) = -6*r**3 + 4*r**2 - 4*r + 2. Let h be 2/11 + (-6 - (-258)/33). Calculate t(h).\n' | b'-38\n' | b'Let t(r) = -6*r**3 + 4*r**2 - 4*r + 2. Let h be 2/11 + (-6 - (-258)/33). Calculate t(h).\n' | b'-38\n' | deepmind/math_dataset |
b'Let b be (-1 - -6)/((-58)/(-20) - 18/45). Solve 2*a - 414*y - 10 = -412*y, -11 = b*a + 5*y for a.\n' | b'2\n' | b'Let b be (-1 - -6)/((-58)/(-20) - 18/45). Solve 2*a - 414*y - 10 = -412*y, -11 = b*a + 5*y for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let j(s) = 3*s**2 - 4*s - 2. Suppose -3*h + 4 + 20 = 0. Suppose 7*n - 3*n - h = 0. Let l be j(n). Solve 0*y = -l*c + 4*y, y = 1 for c.\n' | b'2\n' | b'Let j(s) = 3*s**2 - 4*s - 2. Suppose -3*h + 4 + 20 = 0. Suppose 7*n - 3*n - h = 0. Let l be j(n). Solve 0*y = -l*c + 4*y, y = 1 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 2, c: 3, f: 8, y: 2, w: 2}. Give prob of sequence ycy.\n' | b'1/680\n' | b'Three letters picked without replacement from {j: 2, c: 3, f: 8, y: 2, w: 2}. Give prob of sequence ycy.\n' | b'1/680\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yuuyyououyyooyooo. What is prob of picking 3 y?\n' | b'1/34\n' | b'Three letters picked without replacement from yuuyyououyyooyooo. What is prob of picking 3 y?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let s = -25 + 32. Let t(g) be the third derivative of -g**5/60 + g**4/3 - 3*g**3/2 + 57*g**2. Determine t(s).\n' | b'-2\n' | b'Let s = -25 + 32. Let t(g) be the third derivative of -g**5/60 + g**4/3 - 3*g**3/2 + 57*g**2. Determine t(s).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify h*h**(2/15)*((h*h*h*((h/(h*h*h*(h/h**(7/3))/h))/h)/h*h)/h)/h assuming h is positive.\n' | b'h**(22/15)\n' | b'Simplify h*h**(2/15)*((h*h*h*((h/(h*h*h*(h/h**(7/3))/h))/h)/h*h)/h)/h assuming h is positive.\n' | b'h**(22/15)\n' | deepmind/math_dataset |
b'Suppose -h + 206 = -o, -5*o + 135 = -3*h + 759. What is the derivative of -h*x + 86*x**3 + 201*x - 20 - 8 wrt x?\n' | b'258*x**2 - 2\n' | b'Suppose -h + 206 = -o, -5*o + 135 = -3*h + 759. What is the derivative of -h*x + 86*x**3 + 201*x - 20 - 8 wrt x?\n' | b'258*x**2 - 2\n' | deepmind/math_dataset |
b'Let t = 1 - -2. Suppose 6*n - t*n = 0. Solve -4*r = -4*s + 16, 5*s - 20 = -n*s - r for s.\n' | b'4\n' | b'Let t = 1 - -2. Suppose 6*n - t*n = 0. Solve -4*r = -4*s + 16, 5*s - 20 = -n*s - r for s.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 k when two letters picked without replacement from knkkkkakakgagakk?\n' | b'3/20\n' | b'What is prob of picking 1 g and 1 k when two letters picked without replacement from knkkkkakakgagakk?\n' | b'3/20\n' | deepmind/math_dataset |
b'Let u be 76/12 - 48/36. Let n(m) be the first derivative of 0*m**2 + 5*m + 4/5*m**u + 0*m**4 + 0*m**3 - 6. What is the derivative of n(k) wrt k?\n' | b'16*k**3\n' | b'Let u be 76/12 - 48/36. Let n(m) be the first derivative of 0*m**2 + 5*m + 4/5*m**u + 0*m**4 + 0*m**3 - 6. What is the derivative of n(k) wrt k?\n' | b'16*k**3\n' | deepmind/math_dataset |
b'Suppose -13*m - 27 = -79. Solve 2*p - 2 = 0, 0*p + 13 = -m*w + 5*p for w.\n' | b'-2\n' | b'Suppose -13*m - 27 = -79. Solve 2*p - 2 = 0, 0*p + 13 = -m*w + 5*p for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvhh when four letters picked without replacement from vvhh.\n' | b'1/6\n' | b'Calculate prob of sequence vvhh when four letters picked without replacement from vvhh.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((i**(-2))**(11/3)*(i/((i/i**(-2/5))/i)*i)**(1/64))**(-8) assuming i is positive.\n' | b'i**(877/15)\n' | b'Simplify ((i**(-2))**(11/3)*(i/((i/i**(-2/5))/i)*i)**(1/64))**(-8) assuming i is positive.\n' | b'i**(877/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cndhhmb. What is prob of sequence cmm?\n' | b'0\n' | b'Three letters picked without replacement from cndhhmb. What is prob of sequence cmm?\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of -32 + 124*l**4 - 57*l**4 + 57 + 67*l**4 - l wrt l?\n' | b'1608*l**2\n' | b'What is the second derivative of -32 + 124*l**4 - 57*l**4 + 57 + 67*l**4 - l wrt l?\n' | b'1608*l**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from egdgagezea. What is prob of picking 1 a and 1 e?\n' | b'2/15\n' | b'Two letters picked without replacement from egdgagezea. What is prob of picking 1 a and 1 e?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let s(m) = m**3 + m - 3. Let v be (-14)/(-1)*(-20)/(-14). Let f be v/(-90) + -1 + 11/9. Give s(f).\n' | b'-3\n' | b'Let s(m) = m**3 + m - 3. Let v be (-14)/(-1)*(-20)/(-14). Let f be v/(-90) + -1 + 11/9. Give s(f).\n' | b'-3\n' | deepmind/math_dataset |
b'Let m be 189/49 + (-2)/(-14). Find the second derivative of 315*i**m - 52*i + 7*i - 358*i**4 wrt i.\n' | b'-516*i**2\n' | b'Let m be 189/49 + (-2)/(-14). Find the second derivative of 315*i**m - 52*i + 7*i - 358*i**4 wrt i.\n' | b'-516*i**2\n' | deepmind/math_dataset |
b'Let b = 11 - 11. Let y(z) = 2*z + 1. Let j be y(b). Let s(q) = -9*q**3 - 1. What is s(j)?\n' | b'-10\n' | b'Let b = 11 - 11. Let y(z) = 2*z + 1. Let j be y(b). Let s(q) = -9*q**3 - 1. What is s(j)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let k(p) = -p**2 - p - 1. Let u(b) = -b**3 - 16*b**2 + 33*b + 50. Let l(t) = -2*k(t) + u(t). Let r be l(-16). Solve -g = -5*s - 1, 3*g - r*g - 8 = 4*s for g.\n' | b'-4\n' | b'Let k(p) = -p**2 - p - 1. Let u(b) = -b**3 - 16*b**2 + 33*b + 50. Let l(t) = -2*k(t) + u(t). Let r be l(-16). Solve -g = -5*s - 1, 3*g - r*g - 8 = 4*s for g.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from {m: 2, g: 1, o: 1, l: 3, a: 4}?\n' | b'6/55\n' | b'What is prob of picking 2 a when two letters picked without replacement from {m: 2, g: 1, o: 1, l: 3, a: 4}?\n' | b'6/55\n' | deepmind/math_dataset |
b'Suppose -t - 1 = -j, -5*j + 0*t = -3*t - 9. Let d(x) = x**3 - 4*x**2 + x - 1. Give d(j).\n' | b'-7\n' | b'Suppose -t - 1 = -j, -5*j + 0*t = -3*t - 9. Let d(x) = x**3 - 4*x**2 + x - 1. Give d(j).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((a**2/a*a)**(5/7)/(a/((a*(a*(a*a/a**(-7)*a)/a)/a*a)/a*a)*(a/(a/(a*a**(-1/7))))/a))**(-25/3) assuming a is positive.\n' | b'a**(-675/7)\n' | b'Simplify ((a**2/a*a)**(5/7)/(a/((a*(a*(a*a/a**(-7)*a)/a)/a*a)/a*a)*(a/(a/(a*a**(-1/7))))/a))**(-25/3) assuming a is positive.\n' | b'a**(-675/7)\n' | deepmind/math_dataset |
b'Let a(c) = 2*c - 6. Let u be a(4). Let l(i) = 6 + 1 - 4 + i**2 - u*i. Let g(n) = 3*n - 1. Let f be g(1). Give l(f).\n' | b'3\n' | b'Let a(c) = 2*c - 6. Let u be a(4). Let l(i) = 6 + 1 - 4 + i**2 - u*i. Let g(n) = 3*n - 1. Let f be g(1). Give l(f).\n' | b'3\n' | deepmind/math_dataset |
b'Let l = -1288 - -1300. Solve -b + 4*p - 5 = -14, 2*b - 2*p - l = 0 for b.\n' | b'5\n' | b'Let l = -1288 - -1300. Solve -b + 4*p - 5 = -14, 2*b - 2*p - l = 0 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence wxcu when four letters picked without replacement from {x: 1, c: 1, u: 1, w: 1, s: 1, o: 2}.\n' | b'1/840\n' | b'Calculate prob of sequence wxcu when four letters picked without replacement from {x: 1, c: 1, u: 1, w: 1, s: 1, o: 2}.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let w be ((-220)/22)/(3/(-15)). Suppose -29*i = -54*i + w. Solve 3*d = f - 3 - 13, i*f + 5*d = -12 for f.\n' | b'4\n' | b'Let w be ((-220)/22)/(3/(-15)). Suppose -29*i = -54*i + w. Solve 3*d = f - 3 - 13, i*f + 5*d = -12 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, b: 6, m: 2, s: 6, w: 3}. Give prob of picking 2 s and 1 m.\n' | b'5/136\n' | b'Three letters picked without replacement from {i: 1, b: 6, m: 2, s: 6, w: 3}. Give prob of picking 2 s and 1 m.\n' | b'5/136\n' | deepmind/math_dataset |
b'What is prob of sequence ky when two letters picked without replacement from {k: 10, y: 4, f: 2}?\n' | b'1/6\n' | b'What is prob of sequence ky when two letters picked without replacement from {k: 10, y: 4, f: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-5))/(n*n/n**(-1/9))*(n**(2/9))**(-17))**26 assuming n is positive.\n' | b'n**(-2314/9)\n' | b'Simplify ((n*n**(-5))/(n*n/n**(-1/9))*(n**(2/9))**(-17))**26 assuming n is positive.\n' | b'n**(-2314/9)\n' | deepmind/math_dataset |
b'Let g(x) = x**2 - 12*x + 27. Let p be g(9). Suppose p = -5*b + b + 20. What is the third derivative of -15*l**5 + 99*l**2 - 85*l**2 + 3*l**b wrt l?\n' | b'-720*l**2\n' | b'Let g(x) = x**2 - 12*x + 27. Let p be g(9). Suppose p = -5*b + b + 20. What is the third derivative of -15*l**5 + 99*l**2 - 85*l**2 + 3*l**b wrt l?\n' | b'-720*l**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, f: 12, o: 1, b: 5}. What is prob of picking 2 f?\n' | b'22/57\n' | b'Two letters picked without replacement from {h: 1, f: 12, o: 1, b: 5}. What is prob of picking 2 f?\n' | b'22/57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmywnffqqnynnyyyfy. What is prob of picking 2 m and 1 n?\n' | b'1/204\n' | b'Three letters picked without replacement from mmywnffqqnynnyyyfy. What is prob of picking 2 m and 1 n?\n' | b'1/204\n' | deepmind/math_dataset |
b'Four letters picked without replacement from awmiimgmaaa. What is prob of picking 1 w, 1 a, and 2 m?\n' | b'2/55\n' | b'Four letters picked without replacement from awmiimgmaaa. What is prob of picking 1 w, 1 a, and 2 m?\n' | b'2/55\n' | deepmind/math_dataset |
b'What is the derivative of 5 - 14 - 13*h**4 - 14 + 10*h**3 - 3*h**3 wrt h?\n' | b'-52*h**3 + 21*h**2\n' | b'What is the derivative of 5 - 14 - 13*h**4 - 14 + 10*h**3 - 3*h**3 wrt h?\n' | b'-52*h**3 + 21*h**2\n' | deepmind/math_dataset |
b'Let a(h) be the first derivative of -h**6/45 - h**5/60 - h**4/24 + h**3/3 - 8. Let c(n) be the third derivative of a(n). Give c(-1).\n' | b'-7\n' | b'Let a(h) be the first derivative of -h**6/45 - h**5/60 - h**4/24 + h**3/3 - 8. Let c(n) be the third derivative of a(n). Give c(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of picking 4 p when four letters picked without replacement from {p: 4, x: 7}?\n' | b'1/330\n' | b'What is prob of picking 4 p when four letters picked without replacement from {p: 4, x: 7}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Suppose -4*l = -3*b + l, 2*b = 4*l. Let r be (-36)/(-45)*(b + 5). What is the third derivative of 15*t**3 - t**r - 15*t**3 + 5*t**2 wrt t?\n' | b'-24*t\n' | b'Suppose -4*l = -3*b + l, 2*b = 4*l. Let r be (-36)/(-45)*(b + 5). What is the third derivative of 15*t**3 - t**r - 15*t**3 + 5*t**2 wrt t?\n' | b'-24*t\n' | deepmind/math_dataset |
b'What is prob of sequence ywtu when four letters picked without replacement from {y: 1, f: 1, u: 1, w: 1, t: 1}?\n' | b'1/120\n' | b'What is prob of sequence ywtu when four letters picked without replacement from {y: 1, f: 1, u: 1, w: 1, t: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let s(f) be the second derivative of 1619*f**6/15 + 241*f**3/6 - 3*f**2/2 + 1828*f. What is the second derivative of s(j) wrt j?\n' | b'38856*j**2\n' | b'Let s(f) be the second derivative of 1619*f**6/15 + 241*f**3/6 - 3*f**2/2 + 1828*f. What is the second derivative of s(j) wrt j?\n' | b'38856*j**2\n' | deepmind/math_dataset |
b'Let s(u) = -442*u - 5 + 451*u + 10 + u**2. What is s(-9)?\n' | b'5\n' | b'Let s(u) = -442*u - 5 + 451*u + 10 + u**2. What is s(-9)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((j/(j/(j**(-1/23)*j))*j)/j*j*j**(-1/8)/j*j)/((j*j*j/(j**(2/3)/j))/j**(-1/10)))**(1/24) assuming j is positive.\n' | b'j**(-4421/66240)\n' | b'Simplify (((j/(j/(j**(-1/23)*j))*j)/j*j*j**(-1/8)/j*j)/((j*j*j/(j**(2/3)/j))/j**(-1/10)))**(1/24) assuming j is positive.\n' | b'j**(-4421/66240)\n' | deepmind/math_dataset |
b'What is prob of sequence aa when two letters picked without replacement from agigaiaaaaaab?\n' | b'14/39\n' | b'What is prob of sequence aa when two letters picked without replacement from agigaiaaaaaab?\n' | b'14/39\n' | deepmind/math_dataset |
b'Let n(j) = 7*j**3 + 6*j**2 - 2*j + 1. Let f(h) = -4*h**3 - 3*h**2 + h - 1. Let x = -2 + 5. Let z(i) = x*n(i) + 5*f(i). Determine z(-2).\n' | b'4\n' | b'Let n(j) = 7*j**3 + 6*j**2 - 2*j + 1. Let f(h) = -4*h**3 - 3*h**2 + h - 1. Let x = -2 + 5. Let z(i) = x*n(i) + 5*f(i). Determine z(-2).\n' | b'4\n' | deepmind/math_dataset |
b'Let t = -55 + 80. Solve 0 = -5*w - 2*m + t, -w - 3*w - 4*m = -32 for w.\n' | b'3\n' | b'Let t = -55 + 80. Solve 0 = -5*w - 2*m + t, -w - 3*w - 4*m = -32 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -5*m + 105 - 25 = 0. Suppose 2*a = -2 - m. Let f(q) = q**2 + 10*q + 5. Determine f(a).\n' | b'-4\n' | b'Suppose -5*m + 105 - 25 = 0. Suppose 2*a = -2 - m. Let f(q) = q**2 + 10*q + 5. Determine f(a).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 2 r, and 1 x when four letters picked without replacement from xrrrurrrr.\n' | b'1/6\n' | b'Calculate prob of picking 1 u, 2 r, and 1 x when four letters picked without replacement from xrrrurrrr.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let a(q) = -2*q + 3*q - 2908 + 2900. Calculate a(7).\n' | b'-1\n' | b'Let a(q) = -2*q + 3*q - 2908 + 2900. Calculate a(7).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qjquz. What is prob of picking 1 z and 1 u?\n' | b'1/10\n' | b'Two letters picked without replacement from qjquz. What is prob of picking 1 z and 1 u?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from srrrsrr.\n' | b'1/21\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from srrrsrr.\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 12, p: 1}. Give prob of sequence ypy.\n' | b'1/13\n' | b'Three letters picked without replacement from {y: 12, p: 1}. Give prob of sequence ypy.\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify (((z/(z*z**(21/2))*z)/z)/(z*(z**4*z)/z))/(z*z/z**7*z*z**3) assuming z is positive.\n' | b'z**(-29/2)\n' | b'Simplify (((z/(z*z**(21/2))*z)/z)/(z*(z**4*z)/z))/(z*z/z**7*z*z**3) assuming z is positive.\n' | b'z**(-29/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 4, n: 2, u: 4, e: 1, z: 9}. Give prob of picking 1 j and 1 e.\n' | b'2/95\n' | b'Two letters picked without replacement from {j: 4, n: 2, u: 4, e: 1, z: 9}. Give prob of picking 1 j and 1 e.\n' | b'2/95\n' | deepmind/math_dataset |
b'Suppose -35*t = -10*t - 250. Suppose 49 = t*h - 31. Solve -x - h = 3*c + c, -2*x + c + 11 = 0 for x.\n' | b'4\n' | b'Suppose -35*t = -10*t - 250. Suppose 49 = t*h - 31. Solve -x - h = 3*c + c, -2*x + c + 11 = 0 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from waaaaaaawaaw. What is prob of sequence waaa?\n' | b'7/55\n' | b'Four letters picked without replacement from waaaaaaawaaw. What is prob of sequence waaa?\n' | b'7/55\n' | deepmind/math_dataset |
b'Suppose -19 = -4*w + 3*v, 5*w = 3*w - v + 7. Let q = 57 - 47. Suppose -w*t = t - q. Solve 0 = -t*d - 5*f - 8, 0*d + 2*d = 3*f + 8 for d.\n' | b'1\n' | b'Suppose -19 = -4*w + 3*v, 5*w = 3*w - v + 7. Let q = 57 - 47. Suppose -w*t = t - q. Solve 0 = -t*d - 5*f - 8, 0*d + 2*d = 3*f + 8 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((y**(1/4)/y)**(-33))**(33/5)/((y*y**(-8)*(y/y**(-3/4))/y)/((y*y**(-1))/((y*y/(y/((y**(1/2)*y)/y*y)))/y*y))) assuming y is positive.\n' | b'y**(1671/10)\n' | b'Simplify ((y**(1/4)/y)**(-33))**(33/5)/((y*y**(-8)*(y/y**(-3/4))/y)/((y*y**(-1))/((y*y/(y/((y**(1/2)*y)/y*y)))/y*y))) assuming y is positive.\n' | b'y**(1671/10)\n' | deepmind/math_dataset |
b'Let a(h) = h**3 - 4*h**2 - 2*h + 3. Let x be a(3). Let b be (-4)/x + 40/15. Solve -d + 4*d - 9 = -4*v, -4*d - 13 = -b*v for d.\n' | b'-1\n' | b'Let a(h) = h**3 - 4*h**2 - 2*h + 3. Let x be a(3). Let b be (-4)/x + 40/15. Solve -d + 4*d - 9 = -4*v, -4*d - 13 = -b*v for d.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence qz when two letters picked without replacement from zzisqizz?\n' | b'1/14\n' | b'What is prob of sequence qz when two letters picked without replacement from zzisqizz?\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, i: 2}. Give prob of picking 1 i and 1 d.\n' | b'3/5\n' | b'Two letters picked without replacement from {d: 3, i: 2}. Give prob of picking 1 i and 1 d.\n' | b'3/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wiatvvavvavrv. What is prob of sequence wv?\n' | b'1/26\n' | b'Two letters picked without replacement from wiatvvavvavrv. What is prob of sequence wv?\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -2*o + 230 = -138. Let g be o/6 + (-51)/9 + 6. Let p = -28 + g. Solve -3*z - 4*t - t + 32 = 0, p*t = z + 8 for z.\n' | b'4\n' | b'Suppose -2*o + 230 = -138. Let g be o/6 + (-51)/9 + 6. Let p = -28 + g. Solve -3*z - 4*t - t + 32 = 0, p*t = z + 8 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((j/((j*j**(-1/2)*j)/j)*j)**(3/37))**41*(j/(j**(-2)*j))**(-31)/(j*j**(1/3))**0 assuming j is positive.\n' | b'j**(-4219/74)\n' | b'Simplify ((j/((j*j**(-1/2)*j)/j)*j)**(3/37))**41*(j/(j**(-2)*j))**(-31)/(j*j**(1/3))**0 assuming j is positive.\n' | b'j**(-4219/74)\n' | deepmind/math_dataset |
b'Let s = 50 - 33. Solve z = 4*l + l - s, -15 = -5*z for l.\n' | b'4\n' | b'Let s = 50 - 33. Solve z = 4*l + l - s, -15 = -5*z for l.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, b: 2, j: 1, s: 1, w: 2, z: 2}. Give prob of sequence zb.\n' | b'1/18\n' | b'Two letters picked without replacement from {e: 1, b: 2, j: 1, s: 1, w: 2, z: 2}. Give prob of sequence zb.\n' | b'1/18\n' | deepmind/math_dataset |
b'Let u(l) be the first derivative of -l**3/3 + l**2 + 6*l + 779. Calculate u(7).\n' | b'-29\n' | b'Let u(l) be the first derivative of -l**3/3 + l**2 + 6*l + 779. Calculate u(7).\n' | b'-29\n' | deepmind/math_dataset |
b'What is prob of sequence osas when four letters picked without replacement from auaooaauuaoosuosswaf?\n' | b'1/646\n' | b'What is prob of sequence osas when four letters picked without replacement from auaooaauuaoosuosswaf?\n' | b'1/646\n' | deepmind/math_dataset |
b'Suppose -d + 21 = 4*h, -2*h + 5*d = -35 + 8. What is the third derivative of -27*u**2 + 16*u**2 + 28*u**h + 18*u**2 wrt u?\n' | b'3360*u**3\n' | b'Suppose -d + 21 = 4*h, -2*h + 5*d = -35 + 8. What is the third derivative of -27*u**2 + 16*u**2 + 28*u**h + 18*u**2 wrt u?\n' | b'3360*u**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence fnf when three letters picked without replacement from {f: 2, n: 8}.\n' | b'1/45\n' | b'Calculate prob of sequence fnf when three letters picked without replacement from {f: 2, n: 8}.\n' | b'1/45\n' | deepmind/math_dataset |
b'What is prob of picking 2 i when two letters picked without replacement from {b: 1, i: 1, l: 1}?\n' | b'0\n' | b'What is prob of picking 2 i when two letters picked without replacement from {b: 1, i: 1, l: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify r**(-18)/r*r/((r/(r/(r**(2/49)*r)))/r) assuming r is positive.\n' | b'r**(-884/49)\n' | b'Simplify r**(-18)/r*r/((r/(r/(r**(2/49)*r)))/r) assuming r is positive.\n' | b'r**(-884/49)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, y: 2, b: 6, i: 3}. Give prob of sequence bb.\n' | b'5/22\n' | b'Two letters picked without replacement from {h: 1, y: 2, b: 6, i: 3}. Give prob of sequence bb.\n' | b'5/22\n' | deepmind/math_dataset |
b'Let b(x) = -x + 7. Let f be b(7). Suppose f*z + z - 19 = 0. Solve -4*t + v = 3*v + 14, -t = -4*v - z for t.\n' | b'-1\n' | b'Let b(x) = -x + 7. Let f be b(7). Suppose f*z + z - 19 = 0. Solve -4*t + v = 3*v + 14, -t = -4*v - z for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (q**(-38))**(-15)/(q**37/q**(-44)) assuming q is positive.\n' | b'q**489\n' | b'Simplify (q**(-38))**(-15)/(q**37/q**(-44)) assuming q is positive.\n' | b'q**489\n' | deepmind/math_dataset |
b'Simplify (f**(-4)/f)/f**(-7/2)*f**4*f/((f/(f**(5/3)/f))/f*f)*((f/(f/f**(2/5)))**(6/13))**(-17/2) assuming f is positive.\n' | b'f**(623/390)\n' | b'Simplify (f**(-4)/f)/f**(-7/2)*f**4*f/((f/(f**(5/3)/f))/f*f)*((f/(f/f**(2/5)))**(6/13))**(-17/2) assuming f is positive.\n' | b'f**(623/390)\n' | deepmind/math_dataset |
b'Let a(d) = -d**2 - 5*d - 4. Let z be a(-4). Let p(l) = -l**3 + 4*l**2 - 13*l + 53. Let s be p(4). Solve z = -2*u + u + 5*i - s, -3 = 3*u + 5*i for u.\n' | b'-1\n' | b'Let a(d) = -d**2 - 5*d - 4. Let z be a(-4). Let p(l) = -l**3 + 4*l**2 - 13*l + 53. Let s be p(4). Solve z = -2*u + u + 5*i - s, -3 = 3*u + 5*i for u.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 2 b when three letters picked without replacement from ybllwyljawyyyyblyb?\n' | b'1/136\n' | b'What is prob of picking 1 w and 2 b when three letters picked without replacement from ybllwyljawyyyyblyb?\n' | b'1/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence bblr when four letters picked without replacement from bbbblbbrrb.\n' | b'1/60\n' | b'Calculate prob of sequence bblr when four letters picked without replacement from bbbblbbrrb.\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose 19 = 5*g - 4*j, 0 = 4*j + 2 + 2. Suppose -k + 1 + g = 0. What is the third derivative of -c - 7*c**3 + k*c**3 - 3*c**2 + c wrt c?\n' | b'-18\n' | b'Suppose 19 = 5*g - 4*j, 0 = 4*j + 2 + 2. Suppose -k + 1 + g = 0. What is the third derivative of -c - 7*c**3 + k*c**3 - 3*c**2 + c wrt c?\n' | b'-18\n' | deepmind/math_dataset |
b'Let c = -254 + 276. Suppose l + 5 = u, 5*u - 2*l - c = -0*l. Solve 0*p - p = -5, -3*h - u*p + 5 = 0 for h.\n' | b'-5\n' | b'Let c = -254 + 276. Suppose l + 5 = u, 5*u - 2*l - c = -0*l. Solve 0*p - p = -5, -3*h - u*p + 5 = 0 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ittiljtt. Give prob of picking 1 l and 1 j.\n' | b'1/28\n' | b'Two letters picked without replacement from ittiljtt. Give prob of picking 1 l and 1 j.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let g(u) be the third derivative of 1277*u**4/12 - 1351*u**3/6 - u**2 - 16*u. Differentiate g(q) with respect to q.\n' | b'2554\n' | b'Let g(u) be the third derivative of 1277*u**4/12 - 1351*u**3/6 - u**2 - 16*u. Differentiate g(q) with respect to q.\n' | b'2554\n' | deepmind/math_dataset |
b'Simplify (l*l**(-1/2)*l*l**(-1/10))**(17/2)/((l*l**(-2)*l*l)/l*l*l**6)**(-6/11) assuming l is positive.\n' | b'l**(1729/110)\n' | b'Simplify (l*l**(-1/2)*l*l**(-1/10))**(17/2)/((l*l**(-2)*l*l)/l*l*l**6)**(-6/11) assuming l is positive.\n' | b'l**(1729/110)\n' | deepmind/math_dataset |
b'Let g(j) = 4*j**3 - 20*j**2 + 14*j - 12. Let l(z) = -5*z**3 + 21*z**2 - 19*z + 12. Let y(q) = 6*g(q) + 5*l(q). What is y(-14)?\n' | b'-54\n' | b'Let g(j) = 4*j**3 - 20*j**2 + 14*j - 12. Let l(z) = -5*z**3 + 21*z**2 - 19*z + 12. Let y(q) = 6*g(q) + 5*l(q). What is y(-14)?\n' | b'-54\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, c: 3, e: 2, k: 1, f: 4}. Give prob of picking 1 k and 1 f.\n' | b'4/55\n' | b'Two letters picked without replacement from {p: 1, c: 3, e: 2, k: 1, f: 4}. Give prob of picking 1 k and 1 f.\n' | b'4/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence ogg when three letters picked without replacement from {x: 9, p: 3, o: 1, g: 4, h: 2}.\n' | b'2/969\n' | b'Calculate prob of sequence ogg when three letters picked without replacement from {x: 9, p: 3, o: 1, g: 4, h: 2}.\n' | b'2/969\n' | deepmind/math_dataset |
b'Simplify ((b/(b**(-1/6)*b*b)*b*b*b)/(b*b*b**(-1/9))*b**(-2/5)/b**5)**6 assuming b is positive.\n' | b'b**(-461/15)\n' | b'Simplify ((b/(b**(-1/6)*b*b)*b*b*b)/(b*b*b**(-1/9))*b**(-2/5)/b**5)**6 assuming b is positive.\n' | b'b**(-461/15)\n' | deepmind/math_dataset |
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