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'Two letters picked without replacement from fmbfmmffwdd. What is prob of sequence mw?\n' | b'3/110\n' | b'Two letters picked without replacement from fmbfmmffwdd. What is prob of sequence mw?\n' | b'3/110\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 11, q: 3}. What is prob of picking 2 u and 1 q?\n' | b'165/364\n' | b'Three letters picked without replacement from {u: 11, q: 3}. What is prob of picking 2 u and 1 q?\n' | b'165/364\n' | deepmind/math_dataset |
b'Let x(c) be the first derivative of 3*c**4 + 5*c**3/3 + 14. Find the third derivative of x(r) wrt r.\n' | b'72\n' | b'Let x(c) be the first derivative of 3*c**4 + 5*c**3/3 + 14. Find the third derivative of x(r) wrt r.\n' | b'72\n' | deepmind/math_dataset |
b'Suppose -6 = -q + 2*w, 5*w + 12 = 5*q - 4*q. Solve 16 = -q*m - 4*z, -4*m + z - 16 = 5*z for m.\n' | b'0\n' | b'Suppose -6 = -q + 2*w, 5*w + 12 = 5*q - 4*q. Solve 16 = -q*m - 4*z, -4*m + z - 16 = 5*z for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let b be (-18)/12*(-14)/(-7). Let y(d) = -3*d - 16. Calculate y(b).\n' | b'-7\n' | b'Let b be (-18)/12*(-14)/(-7). Let y(d) = -3*d - 16. Calculate y(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Let n(v) = 18090*v**4 + 22*v - 19028. Let j(i) = 3620*i**4 + 4*i - 3806. Let u(z) = 11*j(z) - 2*n(z). Differentiate u(w) wrt w.\n' | b'14560*w**3\n' | b'Let n(v) = 18090*v**4 + 22*v - 19028. Let j(i) = 3620*i**4 + 4*i - 3806. Let u(z) = 11*j(z) - 2*n(z). Differentiate u(w) wrt w.\n' | b'14560*w**3\n' | deepmind/math_dataset |
b'Let c(l) be the first derivative of 24 - 1/2*l**2 - 6*l. What is c(-6)?\n' | b'0\n' | b'Let c(l) be the first derivative of 24 - 1/2*l**2 - 6*l. What is c(-6)?\n' | b'0\n' | deepmind/math_dataset |
b'Let u = -4 - -10. Let n be (-12)/10*(-945)/(-14). Let i be (2/u)/((-9)/n). Solve 2*x - i = t - 2, 0 = 4*x - 4*t + 4 for x.\n' | b'2\n' | b'Let u = -4 - -10. Let n be (-12)/10*(-945)/(-14). Let i be (2/u)/((-9)/n). Solve 2*x - i = t - 2, 0 = 4*x - 4*t + 4 for x.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 d when three letters picked without replacement from {c: 7, d: 9}?\n' | b'3/20\n' | b'What is prob of picking 3 d when three letters picked without replacement from {c: 7, d: 9}?\n' | b'3/20\n' | deepmind/math_dataset |
b'Simplify (x**(1/6)*x**(2/15)/x)/((x/(x*x*x**3*x))/(x*x*x/x**(-6))) assuming x is positive.\n' | b'x**(133/10)\n' | b'Simplify (x**(1/6)*x**(2/15)/x)/((x/(x*x*x**3*x))/(x*x*x/x**(-6))) assuming x is positive.\n' | b'x**(133/10)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 12, z: 7}. Give prob of picking 4 z.\n' | b'35/3876\n' | b'Four letters picked without replacement from {a: 12, z: 7}. Give prob of picking 4 z.\n' | b'35/3876\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, n: 5}.\n' | b'91/171\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, n: 5}.\n' | b'91/171\n' | deepmind/math_dataset |
b'Simplify ((o**(1/3))**(-44))**(4/15) assuming o is positive.\n' | b'o**(-176/45)\n' | b'Simplify ((o**(1/3))**(-44))**(4/15) assuming o is positive.\n' | b'o**(-176/45)\n' | deepmind/math_dataset |
b'Let g(x) = -12*x - 3. Let o(n) = -7 - n + 6 + 0. Let q(h) = -g(h) + 6*o(h). Find the first derivative of q(d) wrt d.\n' | b'6\n' | b'Let g(x) = -12*x - 3. Let o(n) = -7 - n + 6 + 0. Let q(h) = -g(h) + 6*o(h). Find the first derivative of q(d) wrt d.\n' | b'6\n' | deepmind/math_dataset |
b'What is the second derivative of 1108*z - 54*z + 45*z**3 - 1171*z**3 - 374*z wrt z?\n' | b'-6756*z\n' | b'What is the second derivative of 1108*z - 54*z + 45*z**3 - 1171*z**3 - 374*z wrt z?\n' | b'-6756*z\n' | deepmind/math_dataset |
b'Let x(y) be the first derivative of y**3/3 + y**2/2 - 2*y - 6. Let z = 7 - 5. Suppose -2*s = z*s - 8. What is x(s)?\n' | b'4\n' | b'Let x(y) be the first derivative of y**3/3 + y**2/2 - 2*y - 6. Let z = 7 - 5. Suppose -2*s = z*s - 8. What is x(s)?\n' | b'4\n' | deepmind/math_dataset |
b'Let a = -2 + 4. Suppose 0 = 5*y - 13*n + 17*n - 26, 0 = -y - 3*n + 3. Find the third derivative of -m**2 + a*m**2 + m**6 - 4*m**2 - 2*m**y wrt m.\n' | b'-120*m**3\n' | b'Let a = -2 + 4. Suppose 0 = 5*y - 13*n + 17*n - 26, 0 = -y - 3*n + 3. Find the third derivative of -m**2 + a*m**2 + m**6 - 4*m**2 - 2*m**y wrt m.\n' | b'-120*m**3\n' | deepmind/math_dataset |
b'Simplify (u**1*u*u**0/u*(u*(u*u*u**0/u)/u*u)**(2/153))**(-1/27) assuming u is positive.\n' | b'u**(-157/4131)\n' | b'Simplify (u**1*u*u**0/u*(u*(u*u*u**0/u)/u*u)**(2/153))**(-1/27) assuming u is positive.\n' | b'u**(-157/4131)\n' | deepmind/math_dataset |
b'Suppose 3*w - 22*b = -17*b + 1658, 3*b - 6 = 0. Let p = w + -532. Solve -3*u - 31 = -5*z, -7*z + p = -2*u - 3*z for u.\n' | b'-2\n' | b'Suppose 3*w - 22*b = -17*b + 1658, 3*b - 6 = 0. Let p = w + -532. Solve -3*u - 31 = -5*z, -7*z + p = -2*u - 3*z for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(r) = -r**4 + r**3 - r**2 - r. Let n(b) = 15*b**4 + b**3 - b**2 - b + 32. Let o(u) = -n(u) + y(u). Differentiate o(t) with respect to t.\n' | b'-64*t**3\n' | b'Let y(r) = -r**4 + r**3 - r**2 - r. Let n(b) = 15*b**4 + b**3 - b**2 - b + 32. Let o(u) = -n(u) + y(u). Differentiate o(t) with respect to t.\n' | b'-64*t**3\n' | deepmind/math_dataset |
b'Let g(y) = -y**2 + 2*y - 1. Suppose 0 = 2*z - 4, 0 = 2*h - z - 3*z + 16. Let w be 2*2/h - 3. Let r be (-1 - w) + (-7 - -7). Determine g(r).\n' | b'-4\n' | b'Let g(y) = -y**2 + 2*y - 1. Suppose 0 = 2*z - 4, 0 = 2*h - z - 3*z + 16. Let w be 2*2/h - 3. Let r be (-1 - w) + (-7 - -7). Determine g(r).\n' | b'-4\n' | deepmind/math_dataset |
b'Find the second derivative of 116*x - 25*x**2 + 55*x - 9*x**2 + x**2 wrt x.\n' | b'-66\n' | b'Find the second derivative of 116*x - 25*x**2 + 55*x - 9*x**2 + x**2 wrt x.\n' | b'-66\n' | deepmind/math_dataset |
b'Let s(y) be the second derivative of y**4/6 - y**3/6 + y**2/2 + y. Suppose 0 = -2*v - 5*f - 6, -3*v - 1 = -2*f - 11. Determine s(v).\n' | b'7\n' | b'Let s(y) be the second derivative of y**4/6 - y**3/6 + y**2/2 + y. Suppose 0 = -2*v - 5*f - 6, -3*v - 1 = -2*f - 11. Determine s(v).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of sequence yzvy when four letters picked without replacement from {z: 1, r: 2, y: 9, v: 1, b: 3, e: 2}?\n' | b'1/1020\n' | b'What is prob of sequence yzvy when four letters picked without replacement from {z: 1, r: 2, y: 9, v: 1, b: 3, e: 2}?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Simplify ((z**(-3/2)/(z*(z/((z/(z*z*z**17)*z*z)/z))/z*z))/(z*z**(-6/11)*z*z*z*z**(-2/25)))**(-27) assuming z is positive.\n' | b'z**(354537/550)\n' | b'Simplify ((z**(-3/2)/(z*(z/((z/(z*z*z**17)*z*z)/z))/z*z))/(z*z**(-6/11)*z*z*z*z**(-2/25)))**(-27) assuming z is positive.\n' | b'z**(354537/550)\n' | deepmind/math_dataset |
b'Suppose -6*y + 3*y = 0. Suppose 4*a - 5*m = -59, y = a + 4*m - 1. Let o = -7 - a. Solve -3*g = 3*p - 0*g - 15, 7 = -o*p + 5*g for p.\n' | b'2\n' | b'Suppose -6*y + 3*y = 0. Suppose 4*a - 5*m = -59, y = a + 4*m - 1. Let o = -7 - a. Solve -3*g = 3*p - 0*g - 15, 7 = -o*p + 5*g for p.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 5, s: 3}. Give prob of sequence tt.\n' | b'5/14\n' | b'Two letters picked without replacement from {t: 5, s: 3}. Give prob of sequence tt.\n' | b'5/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 h when two letters picked without replacement from rrrhrrrrrrrrrrrrrrr?\n' | b'2/19\n' | b'What is prob of picking 1 r and 1 h when two letters picked without replacement from rrrhrrrrrrrrrrrrrrr?\n' | b'2/19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 4, r: 1, p: 9}.\n' | b'36/91\n' | b'Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 4, r: 1, p: 9}.\n' | b'36/91\n' | deepmind/math_dataset |
b'Let k(j) be the third derivative of 17*j**8/48 + 11*j**4/12 + j**3/2 + 113*j**2. What is the second derivative of k(x) wrt x?\n' | b'2380*x**3\n' | b'Let k(j) be the third derivative of 17*j**8/48 + 11*j**4/12 + j**3/2 + 113*j**2. What is the second derivative of k(x) wrt x?\n' | b'2380*x**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, r: 3, z: 5, m: 1}. Give prob of sequence zmx.\n' | b'1/144\n' | b'Three letters picked without replacement from {x: 1, r: 3, z: 5, m: 1}. Give prob of sequence zmx.\n' | b'1/144\n' | deepmind/math_dataset |
b'Suppose -8 = -k + 2*g, 3*g + 2 = -k - 5. Solve 2*y + 16 = k*v, 3*y + v + 8 = -0 for y.\n' | b'-4\n' | b'Suppose -8 = -k + 2*g, 3*g + 2 = -k - 5. Solve 2*y + 16 = k*v, 3*y + v + 8 = -0 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*v + 6 - 24 = 0. Let l be ((-2)/5)/(v/30). Let c(f) = -1 - f + 4*f + 6 - l*f. What is c(5)?\n' | b'10\n' | b'Suppose -3*v + 6 - 24 = 0. Let l be ((-2)/5)/(v/30). Let c(f) = -1 - f + 4*f + 6 - l*f. What is c(5)?\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 3, z: 5}. What is prob of picking 3 z and 1 r?\n' | b'3/7\n' | b'Four letters picked without replacement from {r: 3, z: 5}. What is prob of picking 3 z and 1 r?\n' | b'3/7\n' | deepmind/math_dataset |
b'Let i(g) = g**3 - 6*g**2 + 3*g + 4. Let b = -73 + 109. Suppose -r = -4*m - 5*r + 80, m + 5*r - b = 0. Suppose 5*o - m - 4 = 0. What is i(o)?\n' | b'-16\n' | b'Let i(g) = g**3 - 6*g**2 + 3*g + 4. Let b = -73 + 109. Suppose -r = -4*m - 5*r + 80, m + 5*r - b = 0. Suppose 5*o - m - 4 = 0. What is i(o)?\n' | b'-16\n' | deepmind/math_dataset |
b'Calculate prob of sequence gnj when three letters picked without replacement from cqjkngc.\n' | b'1/210\n' | b'Calculate prob of sequence gnj when three letters picked without replacement from cqjkngc.\n' | b'1/210\n' | deepmind/math_dataset |
b'Calculate prob of sequence zlo when three letters picked without replacement from wolaluluuzoa.\n' | b'1/220\n' | b'Calculate prob of sequence zlo when three letters picked without replacement from wolaluluuzoa.\n' | b'1/220\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i when two letters picked without replacement from wiwwwiwwwwwwwiwiwii.\n' | b'5/57\n' | b'Calculate prob of picking 2 i when two letters picked without replacement from wiwwwiwwwwwwwiwiwii.\n' | b'5/57\n' | deepmind/math_dataset |
b'Let x(z) = 5*z**3 - 11*z**2 - 4*z + 8. Let n(a) = -a**3 + 3*a**2 + a - 2. Let s(o) = -9*n(o) - 2*x(o). Determine s(-4).\n' | b'-10\n' | b'Let x(z) = 5*z**3 - 11*z**2 - 4*z + 8. Let n(a) = -a**3 + 3*a**2 + a - 2. Let s(o) = -9*n(o) - 2*x(o). Determine s(-4).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify f**(5/2)/(f/((f/(f/(f*f*f**(2/3))*f))/f))*(f**4/f)/(f/(f**(3/2)/f)) assuming f is positive.\n' | b'f**(14/3)\n' | b'Simplify f**(5/2)/(f/((f/(f/(f*f*f**(2/3))*f))/f))*(f**4/f)/(f/(f**(3/2)/f)) assuming f is positive.\n' | b'f**(14/3)\n' | deepmind/math_dataset |
b'What is the second derivative of -3*s - 8*s**3 - 5*s + 16*s**3 wrt s?\n' | b'48*s\n' | b'What is the second derivative of -3*s - 8*s**3 - 5*s + 16*s**3 wrt s?\n' | b'48*s\n' | deepmind/math_dataset |
b'Three letters picked without replacement from crrccr. Give prob of sequence crr.\n' | b'3/20\n' | b'Three letters picked without replacement from crrccr. Give prob of sequence crr.\n' | b'3/20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvvvvrvrrvua. Give prob of picking 1 a and 2 v.\n' | b'21/220\n' | b'Three letters picked without replacement from vvvvvrvrrvua. Give prob of picking 1 a and 2 v.\n' | b'21/220\n' | deepmind/math_dataset |
b'Let z(y) be the second derivative of -y**5/20 + y**4/6 + 2*y**3/3 - y**2/2 + y + 7. Give z(4).\n' | b'-17\n' | b'Let z(y) be the second derivative of -y**5/20 + y**4/6 + 2*y**3/3 - y**2/2 + y + 7. Give z(4).\n' | b'-17\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 2 r when four letters picked without replacement from {u: 3, c: 3, e: 1, k: 1, r: 2, a: 1}?\n' | b'1/110\n' | b'What is prob of picking 2 u and 2 r when four letters picked without replacement from {u: 3, c: 3, e: 1, k: 1, r: 2, a: 1}?\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (z**37*z*z*z**(-18))/(z/(z*z*z/(z**(-36/7)/z))*z**(-4/13)) assuming z is positive.\n' | b'z**(2680/91)\n' | b'Simplify (z**37*z*z*z**(-18))/(z/(z*z*z/(z**(-36/7)/z))*z**(-4/13)) assuming z is positive.\n' | b'z**(2680/91)\n' | deepmind/math_dataset |
b'Simplify (((o**0)**(-39))**(2/3))**(-21) assuming o is positive.\n' | b'1\n' | b'Simplify (((o**0)**(-39))**(2/3))**(-21) assuming o is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let x be 20/6 - (-1 - -4). Let z(g) be the first derivative of -1/2*g**2 - x*g**3 + 0*g + 2. What is the second derivative of z(n) wrt n?\n' | b'-2\n' | b'Let x be 20/6 - (-1 - -4). Let z(g) be the first derivative of -1/2*g**2 - x*g**3 + 0*g + 2. What is the second derivative of z(n) wrt n?\n' | b'-2\n' | deepmind/math_dataset |
b'Let g be ((-2)/5)/(2/(-10)). Let q = 0 - -3. Let k(a) = -5*a - 1 + 0*a**2 - q - a**g. Determine k(-3).\n' | b'2\n' | b'Let g be ((-2)/5)/(2/(-10)). Let q = 0 - -3. Let k(a) = -5*a - 1 + 0*a**2 - q - a**g. Determine k(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -9*c - 4 = -5*c. Let h be (-5)/((c + 2)*-1). Let x(s) = -s**3 - 3*s**2 - 2*s + 2. Let o be x(-3). Solve -4*v = o, h*p - v + 5*v = 2 for p.\n' | b'2\n' | b'Suppose -9*c - 4 = -5*c. Let h be (-5)/((c + 2)*-1). Let x(s) = -s**3 - 3*s**2 - 2*s + 2. Let o be x(-3). Solve -4*v = o, h*p - v + 5*v = 2 for p.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-1/5)*m)**28/(m/(m*m/(m/(m*(m/(m**(-13)/m*m))/m*m))*m)*m*m*m**(1/34)*m*m))**34 assuming m is positive.\n' | b'm**(10603/5)\n' | b'Simplify ((m*m**(-1/5)*m)**28/(m/(m*m/(m/(m*(m/(m**(-13)/m*m))/m*m))*m)*m*m*m**(1/34)*m*m))**34 assuming m is positive.\n' | b'm**(10603/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dooqoopooopdooqpyoh. What is prob of sequence poph?\n' | b'5/7752\n' | b'Four letters picked without replacement from dooqoopooopdooqpyoh. What is prob of sequence poph?\n' | b'5/7752\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yvjjy. What is prob of picking 2 y?\n' | b'1/10\n' | b'Two letters picked without replacement from yvjjy. What is prob of picking 2 y?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 2*j = 5*b - 0*j + 4, 6 = 2*b + 3*j. Suppose 2*p - 4*p - 30 = b. Let w be (0 - 1)*p/15. Solve 3*k + 6 = 2*x, 5*k = 3*x - 10 - w for k.\n' | b'-4\n' | b'Suppose 2*j = 5*b - 0*j + 4, 6 = 2*b + 3*j. Suppose 2*p - 4*p - 30 = b. Let w be (0 - 1)*p/15. Solve 3*k + 6 = 2*x, 5*k = 3*x - 10 - w for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fffffssfsf. What is prob of sequence ff?\n' | b'7/15\n' | b'Two letters picked without replacement from fffffssfsf. What is prob of sequence ff?\n' | b'7/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 n when four letters picked without replacement from {n: 4, c: 6}.\n' | b'1/210\n' | b'Calculate prob of picking 4 n when four letters picked without replacement from {n: 4, c: 6}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify j*(j/((j**(-1/6)*j*j)/j)*j)/j*j**(-11)/j*(j**(-2)*j)/(j*j/(j*j*j**1/j)*j) assuming j is positive.\n' | b'j**(-77/6)\n' | b'Simplify j*(j/((j**(-1/6)*j*j)/j)*j)/j*j**(-11)/j*(j**(-2)*j)/(j*j/(j*j*j**1/j)*j) assuming j is positive.\n' | b'j**(-77/6)\n' | deepmind/math_dataset |
b'Simplify (i**(2/5))**(-6/23)/((i*i**1)/i*i*i*i)**(-48) assuming i is positive.\n' | b'i**(22068/115)\n' | b'Simplify (i**(2/5))**(-6/23)/((i*i**1)/i*i*i*i)**(-48) assuming i is positive.\n' | b'i**(22068/115)\n' | deepmind/math_dataset |
b'What is prob of sequence rr when two letters picked without replacement from prpqrrprrqiq?\n' | b'5/33\n' | b'What is prob of sequence rr when two letters picked without replacement from prpqrrprrqiq?\n' | b'5/33\n' | deepmind/math_dataset |
b'What is prob of sequence qjjq when four letters picked without replacement from qpjqoqojvoqqppojppjo?\n' | b'2/969\n' | b'What is prob of sequence qjjq when four letters picked without replacement from qpjqoqojvoqqppojppjo?\n' | b'2/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 2, f: 3, h: 7, d: 1}?\n' | b'2/91\n' | b'What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 2, f: 3, h: 7, d: 1}?\n' | b'2/91\n' | deepmind/math_dataset |
b'Let z be -3*2/9*-6. Suppose 11 = z*n + 5*m, n + m = -0*n + 3. Solve 5*u + 13 = x, 4*x = -n*u + u + 6 for x.\n' | b'3\n' | b'Let z be -3*2/9*-6. Suppose 11 = z*n + 5*m, n + m = -0*n + 3. Solve 5*u + 13 = x, 4*x = -n*u + u + 6 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, w: 7}. Give prob of sequence mmw.\n' | b'1/36\n' | b'Three letters picked without replacement from {m: 2, w: 7}. Give prob of sequence mmw.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let o(w) = 2*w**3 - 4*w**2 + 18*w - 67. Let b be o(3). Suppose 2*g - 7*g = -10. Suppose -5 = -g*v + 5. Solve s + 5 = v*r + b*s, -5*r = -5*s - 50 for r.\n' | b'5\n' | b'Let o(w) = 2*w**3 - 4*w**2 + 18*w - 67. Let b be o(3). Suppose 2*g - 7*g = -10. Suppose -5 = -g*v + 5. Solve s + 5 = v*r + b*s, -5*r = -5*s - 50 for r.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence tv when two letters picked without replacement from dvdrssrtdstdrtsdssxx?\n' | b'3/380\n' | b'What is prob of sequence tv when two letters picked without replacement from dvdrssrtdstdrtsdssxx?\n' | b'3/380\n' | deepmind/math_dataset |
b'Let x = 32 + -22. Let s be (3/4)/(8*9/192). Solve -4*q - s*m + 18 = 0, -m + 3 + x = 4*q for q.\n' | b'2\n' | b'Let x = 32 + -22. Let s be (3/4)/(8*9/192). Solve -4*q - s*m + 18 = 0, -m + 3 + x = 4*q for q.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((a*a/(a/(a/(a/(a/(a**(4/3)*a))))))**(14/5)/((a**(1/3)/a*a)/(a*a**10)))**44 assuming a is positive.\n' | b'a**(6424/15)\n' | b'Simplify ((a*a/(a/(a/(a/(a/(a**(4/3)*a))))))**(14/5)/((a**(1/3)/a*a)/(a*a**10)))**44 assuming a is positive.\n' | b'a**(6424/15)\n' | deepmind/math_dataset |
b'Let d be 30 - ((-5)/3 + 1)*6. Let f(i) = i**3 - 5*i**2 - 5*i + 7. Let k be f(5). Let n = k + d. Solve a + 4*h - n = -0*a, -3*a + 4*h = 0 for a.\n' | b'4\n' | b'Let d be 30 - ((-5)/3 + 1)*6. Let f(i) = i**3 - 5*i**2 - 5*i + 7. Let k be f(5). Let n = k + d. Solve a + 4*h - n = -0*a, -3*a + 4*h = 0 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let m(k) be the first derivative of -k**6/90 - k**5/15 + 3*k**3 + 6. Let t(y) be the third derivative of m(y). What is the second derivative of t(d) wrt d?\n' | b'-8\n' | b'Let m(k) be the first derivative of -k**6/90 - k**5/15 + 3*k**3 + 6. Let t(y) be the third derivative of m(y). What is the second derivative of t(d) wrt d?\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 v when two letters picked without replacement from {v: 3, o: 1, j: 3, i: 3, k: 2, u: 1}?\n' | b'3/26\n' | b'What is prob of picking 1 i and 1 v when two letters picked without replacement from {v: 3, o: 1, j: 3, i: 3, k: 2, u: 1}?\n' | b'3/26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ffffntttntftt. Give prob of sequence tnfn.\n' | b'1/286\n' | b'Four letters picked without replacement from ffffntttntftt. Give prob of sequence tnfn.\n' | b'1/286\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 4, n: 1, o: 5, t: 8}. Give prob of picking 2 t.\n' | b'28/153\n' | b'Two letters picked without replacement from {f: 4, n: 1, o: 5, t: 8}. Give prob of picking 2 t.\n' | b'28/153\n' | deepmind/math_dataset |
b'Simplify (((t/(t*t*t**5))/t)**(-2/5)*t**(-1/6)/(t**8/t))**(13/5) assuming t is positive.\n' | b't**(-1703/150)\n' | b'Simplify (((t/(t*t*t**5))/t)**(-2/5)*t**(-1/6)/(t**8/t))**(13/5) assuming t is positive.\n' | b't**(-1703/150)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, f: 2, t: 1, e: 1, c: 2, v: 2}. What is prob of picking 1 f, 1 j, and 1 t?\n' | b'1/42\n' | b'Three letters picked without replacement from {j: 1, f: 2, t: 1, e: 1, c: 2, v: 2}. What is prob of picking 1 f, 1 j, and 1 t?\n' | b'1/42\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 5, r: 4, i: 7, t: 2, c: 2}. What is prob of picking 1 i, 1 t, and 1 r?\n' | b'14/285\n' | b'Three letters picked without replacement from {l: 5, r: 4, i: 7, t: 2, c: 2}. What is prob of picking 1 i, 1 t, and 1 r?\n' | b'14/285\n' | deepmind/math_dataset |
b'Let n be (-2)/(-4)*10 - (2 + -2). Solve 0 = 2*h + 3*w - n, 5*h - 9 + 29 = -w for h.\n' | b'-5\n' | b'Let n be (-2)/(-4)*10 - (2 + -2). Solve 0 = 2*h + 3*w - n, 5*h - 9 + 29 = -w for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*a = 6*a - 36. Let m be 68/a - 4/(-18). Suppose -c + 30 = -4*f, 0*c + m*c - f = 120. Solve c = 3*k - 3*l, 5*k - 5 = l - 5*l for k.\n' | b'5\n' | b'Suppose 4*a = 6*a - 36. Let m be 68/a - 4/(-18). Suppose -c + 30 = -4*f, 0*c + m*c - f = 120. Solve c = 3*k - 3*l, 5*k - 5 = l - 5*l for k.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 4, b: 10, m: 2}. Give prob of sequence hbm.\n' | b'1/42\n' | b'Three letters picked without replacement from {h: 4, b: 10, m: 2}. Give prob of sequence hbm.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let f(m) = m**3 + 17*m**2 - 18*m + 4. Let h be f(-18). Differentiate 16231 - 16288 - t**3 + t**3 + 12*t**h wrt t.\n' | b'48*t**3\n' | b'Let f(m) = m**3 + 17*m**2 - 18*m + 4. Let h be f(-18). Differentiate 16231 - 16288 - t**3 + t**3 + 12*t**h wrt t.\n' | b'48*t**3\n' | deepmind/math_dataset |
b'Let k(j) = -j - 14 + 14. Suppose 0 = -5*d + 3 - 13. Give k(d).\n' | b'2\n' | b'Let k(j) = -j - 14 + 14. Suppose 0 = -5*d + 3 - 13. Give k(d).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (y**(2/5))**(1/5)/((y**1*y)/y**(-2/5))*(y**6*y**(6/5)/y)/((y**1*y*y)/y)**46 assuming y is positive.\n' | b'y**(-2203/25)\n' | b'Simplify (y**(2/5))**(1/5)/((y**1*y)/y**(-2/5))*(y**6*y**(6/5)/y)/((y**1*y*y)/y)**46 assuming y is positive.\n' | b'y**(-2203/25)\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 2 c when three letters picked without replacement from {g: 7, n: 3, c: 4}?\n' | b'9/182\n' | b'What is prob of picking 1 n and 2 c when three letters picked without replacement from {g: 7, n: 3, c: 4}?\n' | b'9/182\n' | deepmind/math_dataset |
b'What is prob of sequence hvh when three letters picked without replacement from vhhvv?\n' | b'1/10\n' | b'What is prob of sequence hvh when three letters picked without replacement from vhhvv?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((i*i**0)**(-26/7))**(-1/21)*(i*i**(2/5))**(2/7)*i**(-2/7)*i*i**(-1)*i assuming i is positive.\n' | b'i**(949/735)\n' | b'Simplify ((i*i**0)**(-26/7))**(-1/21)*(i*i**(2/5))**(2/7)*i**(-2/7)*i*i**(-1)*i assuming i is positive.\n' | b'i**(949/735)\n' | deepmind/math_dataset |
b'Suppose -22 = q - 2*q. Let b = -16 + q. Solve 5*a = 8*u - 4*u - b, -4*a - 5 = -3*u for a.\n' | b'-2\n' | b'Suppose -22 = q - 2*q. Let b = -16 + q. Solve 5*a = 8*u - 4*u - b, -4*a - 5 = -3*u for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lllldldll. Give prob of picking 2 l.\n' | b'7/12\n' | b'Two letters picked without replacement from lllldldll. Give prob of picking 2 l.\n' | b'7/12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 7, l: 2}. Give prob of sequence aala.\n' | b'5/36\n' | b'Four letters picked without replacement from {a: 7, l: 2}. Give prob of sequence aala.\n' | b'5/36\n' | deepmind/math_dataset |
b'Let j(k) = k - 10. Let w be j(12). Solve r + c = w, 0 = -r - 2*r + 3*c - 24 for r.\n' | b'-3\n' | b'Let j(k) = k - 10. Let w be j(12). Solve r + c = w, 0 = -r - 2*r + 3*c - 24 for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(x) = x**2 - 2*x. Let w(n) = 601*n**2 + 682*n. Let z(q) = -5*k(q) + w(q). Find the second derivative of z(b) wrt b.\n' | b'1192\n' | b'Let k(x) = x**2 - 2*x. Let w(n) = 601*n**2 + 682*n. Let z(q) = -5*k(q) + w(q). Find the second derivative of z(b) wrt b.\n' | b'1192\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 3, g: 1, v: 5, m: 1, r: 1}. Give prob of picking 1 v and 2 d.\n' | b'1/11\n' | b'Three letters picked without replacement from {d: 3, g: 1, v: 5, m: 1, r: 1}. Give prob of picking 1 v and 2 d.\n' | b'1/11\n' | deepmind/math_dataset |
b'Simplify ((i/(i**(-16)*i))/(((i/(i*i*i*i**(-5)*i))/i)/i*i))/(i*i/i**(-6/5)*i*(i/(i*i/i**(-4/5)))/i) assuming i is positive.\n' | b'i**(68/5)\n' | b'Simplify ((i/(i**(-16)*i))/(((i/(i*i*i*i**(-5)*i))/i)/i*i))/(i*i/i**(-6/5)*i*(i/(i*i/i**(-4/5)))/i) assuming i is positive.\n' | b'i**(68/5)\n' | deepmind/math_dataset |
b'Simplify ((j*((j*j**(1/3)/j)/j)/j)**(7/5)*(j**1)**(-29))/((j**(-1))**(-1/3))**13 assuming j is positive.\n' | b'j**(-514/15)\n' | b'Simplify ((j*((j*j**(1/3)/j)/j)/j)**(7/5)*(j**1)**(-29))/((j**(-1))**(-1/3))**13 assuming j is positive.\n' | b'j**(-514/15)\n' | deepmind/math_dataset |
b'What is prob of sequence hq when two letters picked without replacement from {j: 11, q: 2, h: 1}?\n' | b'1/91\n' | b'What is prob of sequence hq when two letters picked without replacement from {j: 11, q: 2, h: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 5, t: 1, l: 1, d: 2, i: 3}. What is prob of picking 2 d and 1 s?\n' | b'1/44\n' | b'Three letters picked without replacement from {s: 5, t: 1, l: 1, d: 2, i: 3}. What is prob of picking 2 d and 1 s?\n' | b'1/44\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 5, j: 5, g: 4}. What is prob of sequence nnj?\n' | b'25/546\n' | b'Three letters picked without replacement from {n: 5, j: 5, g: 4}. What is prob of sequence nnj?\n' | b'25/546\n' | deepmind/math_dataset |
b'Calculate prob of sequence frn when three letters picked without replacement from ssnzfizrsnnrnis.\n' | b'4/1365\n' | b'Calculate prob of sequence frn when three letters picked without replacement from ssnzfizrsnnrnis.\n' | b'4/1365\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 14, v: 5}. What is prob of sequence vtvv?\n' | b'35/3876\n' | b'Four letters picked without replacement from {t: 14, v: 5}. What is prob of sequence vtvv?\n' | b'35/3876\n' | deepmind/math_dataset |
b'Suppose -332*j + 165*j + 163*j + 8 = 0. Solve 2*z + j = 2*q, -3*z + 1 = -14*q + 9*q for q.\n' | b'-2\n' | b'Suppose -332*j + 165*j + 163*j + 8 = 0. Solve 2*z + j = 2*q, -3*z + 1 = -14*q + 9*q for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (k**(4/7))**(-2/89)*(k/(k/k**(3/7)))**(-13/7) assuming k is positive.\n' | b'k**(-3527/4361)\n' | b'Simplify (k**(4/7))**(-2/89)*(k/(k/k**(3/7)))**(-13/7) assuming k is positive.\n' | b'k**(-3527/4361)\n' | deepmind/math_dataset |
b'Simplify (h**(-4/3))**49*h/(h**(-19)*h)*h/((h/h**(13/2))/h) assuming h is positive.\n' | b'h**(-233/6)\n' | b'Simplify (h**(-4/3))**49*h/(h**(-19)*h)*h/((h/h**(13/2))/h) assuming h is positive.\n' | b'h**(-233/6)\n' | deepmind/math_dataset |
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