question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let v(i) be the third derivative of 0 + 0*i + 1/60*i**5 - 1/3*i**3 - 3*i**2 + 1/8*i**4. Give v(-2).\n' | b'-4\n' | b'Let v(i) be the third derivative of 0 + 0*i + 1/60*i**5 - 1/3*i**3 - 3*i**2 + 1/8*i**4. Give v(-2).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence wo when two letters picked without replacement from {o: 5, w: 5}?\n' | b'5/18\n' | b'What is prob of sequence wo when two letters picked without replacement from {o: 5, w: 5}?\n' | b'5/18\n' | deepmind/math_dataset |
b'Suppose 6 = 5*z - 4. Let g(p) = -2*p - 2*p**2 + 0*p**2 + p**z - 1. Let b = 0 + -2. Calculate g(b).\n' | b'-1\n' | b'Suppose 6 = 5*z - 4. Let g(p) = -2*p - 2*p**2 + 0*p**2 + p**z - 1. Let b = 0 + -2. Calculate g(b).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence qeq when three letters picked without replacement from {w: 3, e: 1, q: 4, g: 3, z: 2, r: 3}?\n' | b'1/280\n' | b'What is prob of sequence qeq when three letters picked without replacement from {w: 3, e: 1, q: 4, g: 3, z: 2, r: 3}?\n' | b'1/280\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqqgqgqqqq. What is prob of sequence qgg?\n' | b'1/45\n' | b'Three letters picked without replacement from qqqgqgqqqq. What is prob of sequence qgg?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let f(g) = -9*g**3 - g. Let q be -4*(-4)/32*-2. Determine f(q).\n' | b'10\n' | b'Let f(g) = -9*g**3 - g. Let q be -4*(-4)/32*-2. Determine f(q).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 843*f = 821*f. Solve -14 = 2*g - 3*m, f*g + g + 2*m = 0 for g.\n' | b'-4\n' | b'Suppose 843*f = 821*f. Solve -14 = 2*g - 3*m, f*g + g + 2*m = 0 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, v: 2, t: 1, r: 1}. Give prob of picking 2 r and 1 k.\n' | b'0\n' | b'Three letters picked without replacement from {k: 1, v: 2, t: 1, r: 1}. Give prob of picking 2 r and 1 k.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(r) be the first derivative of -1929*r**5 - 2*r**3/3 + 9*r**2 - 143*r + 5954. What is the third derivative of a(p) wrt p?\n' | b'-231480*p\n' | b'Let a(r) be the first derivative of -1929*r**5 - 2*r**3/3 + 9*r**2 - 143*r + 5954. What is the third derivative of a(p) wrt p?\n' | b'-231480*p\n' | deepmind/math_dataset |
b'Let r(y) be the second derivative of 5*y + 0 + y**2 + 1/6*y**3. What is r(5)?\n' | b'7\n' | b'Let r(y) be the second derivative of 5*y + 0 + y**2 + 1/6*y**3. What is r(5)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((b**(4/7)/b**(6/7))/((b/(b/b**1))/b)**(-3/14))**(18/7) assuming b is positive.\n' | b'b**(-36/49)\n' | b'Simplify ((b**(4/7)/b**(6/7))/((b/(b/b**1))/b)**(-3/14))**(18/7) assuming b is positive.\n' | b'b**(-36/49)\n' | deepmind/math_dataset |
b'Simplify ((k/(((k/(k*k**(5/3)*k))/k)/k))/k**(-17)*(k**13/k)**49)**(-2/53) assuming k is positive.\n' | b'k**(-3664/159)\n' | b'Simplify ((k/(((k/(k*k**(5/3)*k))/k)/k))/k**(-17)*(k**13/k)**49)**(-2/53) assuming k is positive.\n' | b'k**(-3664/159)\n' | deepmind/math_dataset |
b'Find the second derivative of -28*s**4 + 145*s**4 - 14350*s + 14361*s + 9 wrt s.\n' | b'1404*s**2\n' | b'Find the second derivative of -28*s**4 + 145*s**4 - 14350*s + 14361*s + 9 wrt s.\n' | b'1404*s**2\n' | deepmind/math_dataset |
b'Suppose 26*r = 7*r. Let m(s) be the first derivative of -1 - 4/3*s**3 + r*s + 13/2*s**2. What is the second derivative of m(z) wrt z?\n' | b'-8\n' | b'Suppose 26*r = 7*r. Let m(s) be the first derivative of -1 - 4/3*s**3 + r*s + 13/2*s**2. What is the second derivative of m(z) wrt z?\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 4, f: 7}. What is prob of sequence ffll?\n' | b'7/110\n' | b'Four letters picked without replacement from {l: 4, f: 7}. What is prob of sequence ffll?\n' | b'7/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gkgggkwbkkgk. What is prob of picking 1 w and 1 k?\n' | b'5/66\n' | b'Two letters picked without replacement from gkgggkwbkkgk. What is prob of picking 1 w and 1 k?\n' | b'5/66\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bjbbpjbwbbw. Give prob of picking 2 p and 2 w.\n' | b'0\n' | b'Four letters picked without replacement from bjbbpjbwbbw. Give prob of picking 2 p and 2 w.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 11, d: 5}. What is prob of sequence ddd?\n' | b'1/56\n' | b'Three letters picked without replacement from {q: 11, d: 5}. What is prob of sequence ddd?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let p = 101 + -99. What is the first derivative of -9 - 15*x**p + 15*x**2 + 22*x**4 - 56*x**4 wrt x?\n' | b'-136*x**3\n' | b'Let p = 101 + -99. What is the first derivative of -9 - 15*x**p + 15*x**2 + 22*x**4 - 56*x**4 wrt x?\n' | b'-136*x**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 b when three letters picked without replacement from bcbb.\n' | b'3/4\n' | b'Calculate prob of picking 1 c and 2 b when three letters picked without replacement from bcbb.\n' | b'3/4\n' | deepmind/math_dataset |
b'Let q be (-18)/(-99) + 13/(-11). Let r be 3 - 0*q/(-3). Find the second derivative of -9*g + r*g**4 - 2*g + 4*g wrt g.\n' | b'36*g**2\n' | b'Let q be (-18)/(-99) + 13/(-11). Let r be 3 - 0*q/(-3). Find the second derivative of -9*g + r*g**4 - 2*g + 4*g wrt g.\n' | b'36*g**2\n' | deepmind/math_dataset |
b'Let b(f) = -f + 1. Let i be b(5). Let a(t) = -t + 3*t**2 + 0*t**3 + 4 + t**3 + 0*t**3 + 0*t**2. Calculate a(i).\n' | b'-8\n' | b'Let b(f) = -f + 1. Let i be b(5). Let a(t) = -t + 3*t**2 + 0*t**3 + 4 + t**3 + 0*t**3 + 0*t**2. Calculate a(i).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify n/(n**(1/15)/n)*n*n**(-3)*(n/((n/n**(-1/2))/n*n*n))**(1/10)*(n**(-2)/((n/n**(-2/13))/n))/(n**(-4)/n**(1/4)) assuming n is positive.\n' | b'n**(733/390)\n' | b'Simplify n/(n**(1/15)/n)*n*n**(-3)*(n/((n/n**(-1/2))/n*n*n))**(1/10)*(n**(-2)/((n/n**(-2/13))/n))/(n**(-4)/n**(1/4)) assuming n is positive.\n' | b'n**(733/390)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmmmmzmmmzm. Give prob of sequence zzm.\n' | b'1/66\n' | b'Three letters picked without replacement from mmmmmmzmmmzm. Give prob of sequence zzm.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose -6*f - 52 = -9*f - 10*f. Solve 0 = -2*j - f*h - 12 + 20, 2*j - 3*h = -6 for j.\n' | b'0\n' | b'Suppose -6*f - 52 = -9*f - 10*f. Solve 0 = -2*j - f*h - 12 + 20, 2*j - 3*h = -6 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let o be 40*(15/(-6))/5. Let f be (-66)/(-14) - o/70. Suppose -2*c + f = -c. Solve -5*n - 10 = -4*d, 0*d = 5*n - 3*d + c for n.\n' | b'2\n' | b'Let o be 40*(15/(-6))/5. Let f be (-66)/(-14) - o/70. Suppose -2*c + f = -c. Solve -5*n - 10 = -4*d, 0*d = 5*n - 3*d + c for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let u be 85/68 - (-3)/4. Solve -3*v - 5*s - 8 = 0, 0*v = 2*v - u*s for v.\n' | b'-1\n' | b'Let u be 85/68 - (-3)/4. Solve -3*v - 5*s - 8 = 0, 0*v = 2*v - u*s for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 6, l: 4}. What is prob of picking 3 l?\n' | b'1/30\n' | b'Three letters picked without replacement from {q: 6, l: 4}. What is prob of picking 3 l?\n' | b'1/30\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 3, x: 4}. What is prob of sequence xxx?\n' | b'4/35\n' | b'Three letters picked without replacement from {z: 3, x: 4}. What is prob of sequence xxx?\n' | b'4/35\n' | deepmind/math_dataset |
b'Suppose -4*a - 19 = -63. Suppose -5*r - a = -36. Solve -5*t + r*o - 35 = -0*o, 0 = 5*t + 2*o for t.\n' | b'-2\n' | b'Suppose -4*a - 19 = -63. Suppose -5*r - a = -36. Solve -5*t + r*o - 35 = -0*o, 0 = 5*t + 2*o for t.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence hv when two letters picked without replacement from {h: 2, y: 7, s: 3, w: 1, v: 1}?\n' | b'1/91\n' | b'What is prob of sequence hv when two letters picked without replacement from {h: 2, y: 7, s: 3, w: 1, v: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify w**(2/13)*w**(-2/15)*w/w**(1/3)*w*w**(2/9)*w assuming w is positive.\n' | b'w**(1702/585)\n' | b'Simplify w**(2/13)*w**(-2/15)*w/w**(1/3)*w*w**(2/9)*w assuming w is positive.\n' | b'w**(1702/585)\n' | deepmind/math_dataset |
b'Simplify (w**2*w)/(w/(w*w**2))*w**5/(w**(-2/23)/w) assuming w is positive.\n' | b'w**(255/23)\n' | b'Simplify (w**2*w)/(w/(w*w**2))*w**5/(w**(-2/23)/w) assuming w is positive.\n' | b'w**(255/23)\n' | deepmind/math_dataset |
b'Let f(h) = -h - 7. Let s = 54 + -60. What is f(s)?\n' | b'-1\n' | b'Let f(h) = -h - 7. Let s = 54 + -60. What is f(s)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (t/(t**20/t))**(9/5)*t**25*t*t**(-13/3) assuming t is positive.\n' | b't**(-161/15)\n' | b'Simplify (t/(t**20/t))**(9/5)*t**25*t*t**(-13/3) assuming t is positive.\n' | b't**(-161/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from thzhzi. Give prob of sequence zzi.\n' | b'1/60\n' | b'Three letters picked without replacement from thzhzi. Give prob of sequence zzi.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let v(l) = 30*l**4 + 5*l**2 + 2*l - 9. Let b(z) = -31*z**4 - 6*z**2 - 2*z + 10. Let k(s) = 3*b(s) + 4*v(s). Find the second derivative of k(j) wrt j.\n' | b'324*j**2 + 4\n' | b'Let v(l) = 30*l**4 + 5*l**2 + 2*l - 9. Let b(z) = -31*z**4 - 6*z**2 - 2*z + 10. Let k(s) = 3*b(s) + 4*v(s). Find the second derivative of k(j) wrt j.\n' | b'324*j**2 + 4\n' | deepmind/math_dataset |
b'Let h(o) = -o**4 + 4*o**3 - 46*o**2 - 426. Let r(w) = 2*w**4 - 3*w**3 + 45*w**2 + 425. Let u(b) = -3*h(b) - 4*r(b). What is the derivative of u(c) wrt c?\n' | b'-20*c**3 - 84*c\n' | b'Let h(o) = -o**4 + 4*o**3 - 46*o**2 - 426. Let r(w) = 2*w**4 - 3*w**3 + 45*w**2 + 425. Let u(b) = -3*h(b) - 4*r(b). What is the derivative of u(c) wrt c?\n' | b'-20*c**3 - 84*c\n' | deepmind/math_dataset |
b'Simplify (((k/k**15*k)/(k*k*((k**(-1/9)/k)/k)/k))/(k*k*k/((k**(-1/44)*k)/k*k)*k*k*k/(k/(k*(k**18*k)/k))))**(-36) assuming k is positive.\n' | b'k**(13825/11)\n' | b'Simplify (((k/k**15*k)/(k*k*((k**(-1/9)/k)/k)/k))/(k*k*k/((k**(-1/44)*k)/k*k)*k*k*k/(k/(k*(k**18*k)/k))))**(-36) assuming k is positive.\n' | b'k**(13825/11)\n' | deepmind/math_dataset |
b'Let r(n) be the second derivative of n**6/60 - n**5/12 + n**4/8 - 2*n**3/3 + 108*n**2 + 158*n. Let t(o) be the first derivative of r(o). Calculate t(3).\n' | b'14\n' | b'Let r(n) be the second derivative of n**6/60 - n**5/12 + n**4/8 - 2*n**3/3 + 108*n**2 + 158*n. Let t(o) be the first derivative of r(o). Calculate t(3).\n' | b'14\n' | deepmind/math_dataset |
b'What is prob of sequence wjf when three letters picked without replacement from ojggoggaofggowfgowo?\n' | b'2/2907\n' | b'What is prob of sequence wjf when three letters picked without replacement from ojggoggaofggowfgowo?\n' | b'2/2907\n' | deepmind/math_dataset |
b'Simplify (c*c**(-5)/c*c*c**11)**(2/19)/(c**(-3/4)*c/((c**(-6/5)*c)/c*c)*c*c)**(-3) assuming c is positive.\n' | b'c**(3073/380)\n' | b'Simplify (c*c**(-5)/c*c*c**11)**(2/19)/(c**(-3/4)*c/((c**(-6/5)*c)/c*c)*c*c)**(-3) assuming c is positive.\n' | b'c**(3073/380)\n' | deepmind/math_dataset |
b'Suppose -p + 5*o + 35 = 0, 2*p - 3*o + 94 = 6*p. Let f = p + -18. Solve -2 = r - 2*a + f, 0 = 5*r + 5*a - 30 for r.\n' | b'1\n' | b'Suppose -p + 5*o + 35 = 0, 2*p - 3*o + 94 = 6*p. Let f = p + -18. Solve -2 = r - 2*a + f, 0 = 5*r + 5*a - 30 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p**(1/4)*p*p**(-37))/(p/(p/p**(-25))*p*p**(2/7)))**(1/14) assuming p is positive.\n' | b'p**(-337/392)\n' | b'Simplify ((p**(1/4)*p*p**(-37))/(p/(p/p**(-25))*p*p**(2/7)))**(1/14) assuming p is positive.\n' | b'p**(-337/392)\n' | deepmind/math_dataset |
b'Calculate prob of sequence qu when two letters picked without replacement from quusukuuqqiu.\n' | b'3/22\n' | b'Calculate prob of sequence qu when two letters picked without replacement from quusukuuqqiu.\n' | b'3/22\n' | deepmind/math_dataset |
b'Let c(t) be the first derivative of 5*t**6 - t**4/4 - 44*t**3/3 - 4*t - 388. What is the third derivative of c(v) wrt v?\n' | b'1800*v**2 - 6\n' | b'Let c(t) be the first derivative of 5*t**6 - t**4/4 - 44*t**3/3 - 4*t - 388. What is the third derivative of c(v) wrt v?\n' | b'1800*v**2 - 6\n' | deepmind/math_dataset |
b'Let y be 3*2/(-18)*-6. Let j(k) = -k**2 + k - 7*k - 1 + y*k. Let w = 13 - 18. What is j(w)?\n' | b'-6\n' | b'Let y be 3*2/(-18)*-6. Let j(k) = -k**2 + k - 7*k - 1 + y*k. Let w = 13 - 18. What is j(w)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, c: 3, x: 3, e: 7}. What is prob of sequence xmx?\n' | b'2/455\n' | b'Three letters picked without replacement from {m: 2, c: 3, x: 3, e: 7}. What is prob of sequence xmx?\n' | b'2/455\n' | deepmind/math_dataset |
b'Let h(r) = r - 1. Let o(u) = 7*u**4 + 7*u. Let q(y) = -21*h(y) + 3*o(y). Differentiate q(j) wrt j.\n' | b'84*j**3\n' | b'Let h(r) = r - 1. Let o(u) = 7*u**4 + 7*u. Let q(y) = -21*h(y) + 3*o(y). Differentiate q(j) wrt j.\n' | b'84*j**3\n' | deepmind/math_dataset |
b'Simplify k**14/k**15*(k*k**(10/7))/k**31 assuming k is positive.\n' | b'k**(-207/7)\n' | b'Simplify k**14/k**15*(k*k**(10/7))/k**31 assuming k is positive.\n' | b'k**(-207/7)\n' | deepmind/math_dataset |
b'Let p(h) = 17*h + 6. Let z(q) = -9*q - 3. Let r be ((-1 - -2)*5)/1. Let j(n) = r*z(n) + 3*p(n). Determine j(-3).\n' | b'-15\n' | b'Let p(h) = 17*h + 6. Let z(q) = -9*q - 3. Let r be ((-1 - -2)*5)/1. Let j(n) = r*z(n) + 3*p(n). Determine j(-3).\n' | b'-15\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from vvyyvvy.\n' | b'1/7\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from vvyyvvy.\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 12, o: 5, p: 1}. Give prob of sequence poo.\n' | b'5/1224\n' | b'Three letters picked without replacement from {z: 12, o: 5, p: 1}. Give prob of sequence poo.\n' | b'5/1224\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 2, k: 8, u: 2}. What is prob of picking 1 d and 3 k?\n' | b'112/495\n' | b'Four letters picked without replacement from {d: 2, k: 8, u: 2}. What is prob of picking 1 d and 3 k?\n' | b'112/495\n' | deepmind/math_dataset |
b'Differentiate -211*f**2 - 6562 - 124*f**2 + 74620353*f - 74620351*f with respect to f.\n' | b'-670*f + 2\n' | b'Differentiate -211*f**2 - 6562 - 124*f**2 + 74620353*f - 74620351*f with respect to f.\n' | b'-670*f + 2\n' | deepmind/math_dataset |
b'Suppose -25 = -4*q - 1. Suppose 54 = -4*g + q*g. Suppose -24 = -4*c + 4*w - 0*w, -16 = -5*c - 2*w. Solve -5*z - 5 = -c*k, -g = -5*z - 2*k - 2 for z.\n' | b'3\n' | b'Suppose -25 = -4*q - 1. Suppose 54 = -4*g + q*g. Suppose -24 = -4*c + 4*w - 0*w, -16 = -5*c - 2*w. Solve -5*z - 5 = -c*k, -g = -5*z - 2*k - 2 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (x**(-7)*x*x/x**(-5/2))/(x**(-1)/((x*x/(x**(-13)*x*x))/x)) assuming x is positive.\n' | b'x**(21/2)\n' | b'Simplify (x**(-7)*x*x/x**(-5/2))/(x**(-1)/((x*x/(x**(-13)*x*x))/x)) assuming x is positive.\n' | b'x**(21/2)\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 1 d, and 1 h when three letters picked without replacement from wddfh?\n' | b'1/5\n' | b'What is prob of picking 1 w, 1 d, and 1 h when three letters picked without replacement from wddfh?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let j(k) be the third derivative of -29*k**7/42 - 503*k**4/8 + 8*k**2 + 7*k. Find the second derivative of j(c) wrt c.\n' | b'-1740*c**2\n' | b'Let j(k) be the third derivative of -29*k**7/42 - 503*k**4/8 + 8*k**2 + 7*k. Find the second derivative of j(c) wrt c.\n' | b'-1740*c**2\n' | deepmind/math_dataset |
b'What is prob of sequence nti when three letters picked without replacement from {i: 2, g: 4, n: 3, t: 10}?\n' | b'10/969\n' | b'What is prob of sequence nti when three letters picked without replacement from {i: 2, g: 4, n: 3, t: 10}?\n' | b'10/969\n' | deepmind/math_dataset |
b'Let z(m) = m**3 + 52*m**2 + m + 59. Let h(r) = r**3 + 47*r**2 + 65*r + 822. Let b be h(-46). Give z(b).\n' | b'7\n' | b'Let z(m) = m**3 + 52*m**2 + m + 59. Let h(r) = r**3 + 47*r**2 + 65*r + 822. Let b be h(-46). Give z(b).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence lxp when three letters picked without replacement from {n: 1, i: 1, x: 1, w: 2, l: 1, p: 2}.\n' | b'1/168\n' | b'Calculate prob of sequence lxp when three letters picked without replacement from {n: 1, i: 1, x: 1, w: 2, l: 1, p: 2}.\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose -1 - 8 = -3*n. Let v = 8 + 5. Solve -2*y = 2*y - 2*l + 18, n*l = -4*y - v for y.\n' | b'-4\n' | b'Suppose -1 - 8 = -3*n. Let v = 8 + 5. Solve -2*y = 2*y - 2*l + 18, n*l = -4*y - v for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let h(p) be the third derivative of p**7/840 - p**6/360 - p**5/120 + 3*p**4/8 + p**3/6 + 4*p**2. Let f(d) be the first derivative of h(d). Calculate f(0).\n' | b'9\n' | b'Let h(p) be the third derivative of p**7/840 - p**6/360 - p**5/120 + 3*p**4/8 + p**3/6 + 4*p**2. Let f(d) be the first derivative of h(d). Calculate f(0).\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pcgwgxg. What is prob of sequence gg?\n' | b'1/7\n' | b'Two letters picked without replacement from pcgwgxg. What is prob of sequence gg?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from leelllleellle?\n' | b'5/39\n' | b'What is prob of sequence ee when two letters picked without replacement from leelllleellle?\n' | b'5/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from txttxtt. Give prob of sequence txt.\n' | b'4/21\n' | b'Three letters picked without replacement from txttxtt. Give prob of sequence txt.\n' | b'4/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 t when two letters picked without replacement from hrt?\n' | b'1/3\n' | b'What is prob of picking 1 r and 1 t when two letters picked without replacement from hrt?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (((i*(i*i**(-1/8))/i)/(i**(-2/11)/i))/(i**1)**(-49))**(17/5) assuming i is positive.\n' | b'i**(76381/440)\n' | b'Simplify (((i*(i*i**(-1/8))/i)/(i**(-2/11)/i))/(i**1)**(-49))**(17/5) assuming i is positive.\n' | b'i**(76381/440)\n' | deepmind/math_dataset |
b'What is prob of sequence kyvz when four letters picked without replacement from {k: 1, v: 1, y: 1, j: 1, z: 1}?\n' | b'1/120\n' | b'What is prob of sequence kyvz when four letters picked without replacement from {k: 1, v: 1, y: 1, j: 1, z: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let t(x) = x**3 - 9*x**2 + 3*x + 82. Let h be t(7). Solve -4*k + h*f - 24 = 0, -3*f = -4*k - 8*f + 16 for k.\n' | b'-1\n' | b'Let t(x) = x**3 - 9*x**2 + 3*x + 82. Let h be t(7). Solve -4*k + h*f - 24 = 0, -3*f = -4*k - 8*f + 16 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzzz. What is prob of picking 4 z?\n' | b'1\n' | b'Four letters picked without replacement from zzzzz. What is prob of picking 4 z?\n' | b'1\n' | deepmind/math_dataset |
b'Let v(q) = 2*q**3 - 8*q**2 + 4*q + 2. Suppose 2*k = 2*r, 0*r + 2*r - 6 = 0. Let g be v(k). Let i(h) = h**3 + 2*h**2 - 4*h + 3. Determine i(g).\n' | b'-13\n' | b'Let v(q) = 2*q**3 - 8*q**2 + 4*q + 2. Suppose 2*k = 2*r, 0*r + 2*r - 6 = 0. Let g be v(k). Let i(h) = h**3 + 2*h**2 - 4*h + 3. Determine i(g).\n' | b'-13\n' | deepmind/math_dataset |
b'Let b be (-6)/2 - (2 - 7). Suppose -t = b - 5. Suppose 34 - 1 = 3*i. Solve 3*g = -v + 3, t*g - g + 5*v = -i for g.\n' | b'2\n' | b'Let b be (-6)/2 - (2 - 7). Suppose -t = b - 5. Suppose 34 - 1 = 3*i. Solve 3*g = -v + 3, t*g - g + 5*v = -i for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let o = 173 - 171. Suppose 0 = 2*k - 0*k - 12. Find the first derivative of -10 + 0 + 1 - 14*n**o - k wrt n.\n' | b'-28*n\n' | b'Let o = 173 - 171. Suppose 0 = 2*k - 0*k - 12. Find the first derivative of -10 + 0 + 1 - 14*n**o - k wrt n.\n' | b'-28*n\n' | deepmind/math_dataset |
b'Suppose o = -5*t + 13, 0*t + 4 = 5*t - 2*o. Let a(h) be the third derivative of -h**6/120 + h**5/60 + h**4/8 - h**3/2 + 2*h**2. Calculate a(t).\n' | b'-1\n' | b'Suppose o = -5*t + 13, 0*t + 4 = 5*t - 2*o. Let a(h) be the third derivative of -h**6/120 + h**5/60 + h**4/8 - h**3/2 + 2*h**2. Calculate a(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(c) = c**2 + 2*c - 1. Let k(j) = 2*j**6 - 23*j**4 - 149*j**2 - 12*j + 6. Let w(z) = 6*d(z) + k(z). Find the third derivative of w(a) wrt a.\n' | b'240*a**3 - 552*a\n' | b'Let d(c) = c**2 + 2*c - 1. Let k(j) = 2*j**6 - 23*j**4 - 149*j**2 - 12*j + 6. Let w(z) = 6*d(z) + k(z). Find the third derivative of w(a) wrt a.\n' | b'240*a**3 - 552*a\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from {n: 7, k: 3}.\n' | b'1/15\n' | b'Calculate prob of sequence kk when two letters picked without replacement from {n: 7, k: 3}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from {q: 2, u: 11}.\n' | b'1/78\n' | b'Calculate prob of sequence qq when two letters picked without replacement from {q: 2, u: 11}.\n' | b'1/78\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from uzzuusus.\n' | b'3/14\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from uzzuusus.\n' | b'3/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, a: 1, y: 4, w: 1, i: 2}. Give prob of picking 1 a, 1 y, and 1 i.\n' | b'8/165\n' | b'Three letters picked without replacement from {q: 3, a: 1, y: 4, w: 1, i: 2}. Give prob of picking 1 a, 1 y, and 1 i.\n' | b'8/165\n' | deepmind/math_dataset |
b'Let k(s) = -3*s**3 - 21*s**2 + 6*s - 65. Let g(z) = -z**3 - 10*z**2 + 3*z - 32. Let p(f) = 5*g(f) - 2*k(f). Let t be p(8). Let w(v) = v**2 + 4*v - 3. Give w(t).\n' | b'9\n' | b'Let k(s) = -3*s**3 - 21*s**2 + 6*s - 65. Let g(z) = -z**3 - 10*z**2 + 3*z - 32. Let p(f) = 5*g(f) - 2*k(f). Let t be p(8). Let w(v) = v**2 + 4*v - 3. Give w(t).\n' | b'9\n' | deepmind/math_dataset |
b'Let y(j) be the second derivative of j**6/180 + 11*j**5/60 + 9*j**4/2 + 219*j. Let t(s) be the third derivative of y(s). Determine t(-7).\n' | b'-6\n' | b'Let y(j) be the second derivative of j**6/180 + 11*j**5/60 + 9*j**4/2 + 219*j. Let t(s) be the third derivative of y(s). Determine t(-7).\n' | b'-6\n' | deepmind/math_dataset |
b'Let w be (-93)/(-6) + ((-42)/12)/7. Solve -w = 5*i + 5*r, 2*i + 3*r = -5 - 4 for i.\n' | b'0\n' | b'Let w be (-93)/(-6) + ((-42)/12)/7. Solve -w = 5*i + 5*r, 2*i + 3*r = -5 - 4 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 2*o + o + 5*t = 13, -o = -5*t - 31. What is the derivative of -11 - o - 5*u**3 + 26 wrt u?\n' | b'-15*u**2\n' | b'Suppose 2*o + o + 5*t = 13, -o = -5*t - 31. What is the derivative of -11 - o - 5*u**3 + 26 wrt u?\n' | b'-15*u**2\n' | deepmind/math_dataset |
b'Simplify (q**(2/5)/(q**(-1/11)/q))**(-1/11) assuming q is positive.\n' | b'q**(-82/605)\n' | b'Simplify (q**(2/5)/(q**(-1/11)/q))**(-1/11) assuming q is positive.\n' | b'q**(-82/605)\n' | deepmind/math_dataset |
b'Let o = -13 + 15. Find the first derivative of j**4 - 7 - j**2 + 7*j**4 + j**o wrt j.\n' | b'32*j**3\n' | b'Let o = -13 + 15. Find the first derivative of j**4 - 7 - j**2 + 7*j**4 + j**o wrt j.\n' | b'32*j**3\n' | deepmind/math_dataset |
b'Let u(i) = -2*i + 5. Let f(j) = j - 4. Let y be (0 + -5)/(-3 - -4). Let q(v) = y*f(v) - 4*u(v). What is q(-2)?\n' | b'-6\n' | b'Let u(i) = -2*i + 5. Let f(j) = j - 4. Let y be (0 + -5)/(-3 - -4). Let q(v) = y*f(v) - 4*u(v). What is q(-2)?\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from llllllllll. Give prob of sequence llll.\n' | b'1\n' | b'Four letters picked without replacement from llllllllll. Give prob of sequence llll.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence jjjq when four letters picked without replacement from {z: 5, j: 3, q: 2}?\n' | b'1/420\n' | b'What is prob of sequence jjjq when four letters picked without replacement from {z: 5, j: 3, q: 2}?\n' | b'1/420\n' | deepmind/math_dataset |
b'What is prob of sequence kgk when three letters picked without replacement from kkggggkkgk?\n' | b'5/36\n' | b'What is prob of sequence kgk when three letters picked without replacement from kkggggkkgk?\n' | b'5/36\n' | deepmind/math_dataset |
b'Suppose 4*c + 3*a = 7*c - 18, -4*c - a + 14 = 0. Solve 24 = 4*p + c*u, -p = -2*u - 2 + 8 for p.\n' | b'2\n' | b'Suppose 4*c + 3*a = 7*c - 18, -4*c - a + 14 = 0. Solve 24 = 4*p + c*u, -p = -2*u - 2 + 8 for p.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence zw when two letters picked without replacement from wwwwzzwwww.\n' | b'8/45\n' | b'Calculate prob of sequence zw when two letters picked without replacement from wwwwzzwwww.\n' | b'8/45\n' | deepmind/math_dataset |
b'Let s(c) be the third derivative of c**5/60 + c**4/3 - c**3 + 2*c**2 - 95. What is s(-9)?\n' | b'3\n' | b'Let s(c) be the third derivative of c**5/60 + c**4/3 - c**3 + 2*c**2 - 95. What is s(-9)?\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 16, a: 4}.\n' | b'12/19\n' | b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 16, a: 4}.\n' | b'12/19\n' | deepmind/math_dataset |
b'Simplify (r**5/(r/(r*r*r/(r*r/r**(-1/7))*r*r*r)*r*r))**(-28) assuming r is positive.\n' | b'r**(-164)\n' | b'Simplify (r**5/(r/(r*r*r/(r*r/r**(-1/7))*r*r*r)*r*r))**(-28) assuming r is positive.\n' | b'r**(-164)\n' | deepmind/math_dataset |
b'What is prob of sequence gf when two letters picked without replacement from gggggfggfg?\n' | b'8/45\n' | b'What is prob of sequence gf when two letters picked without replacement from gggggfggfg?\n' | b'8/45\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, l: 1, j: 6, q: 2, r: 5}. What is prob of picking 1 l, 1 j, and 1 m?\n' | b'6/455\n' | b'Three letters picked without replacement from {m: 1, l: 1, j: 6, q: 2, r: 5}. What is prob of picking 1 l, 1 j, and 1 m?\n' | b'6/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wxxbexxhbehbxwxxhxx. Give prob of sequence ex.\n' | b'1/19\n' | b'Two letters picked without replacement from wxxbexxhbehbxwxxhxx. Give prob of sequence ex.\n' | b'1/19\n' | deepmind/math_dataset |
b'Let j(b) = -b**3 + 4*b**2 + 9*b - 30. Let h be j(3). Solve g - 17 = 5*q, -3*q - h*g = -g + 27 for q.\n' | b'-4\n' | b'Let j(b) = -b**3 + 4*b**2 + 9*b - 30. Let h be j(3). Solve g - 17 = 5*q, -3*q - h*g = -g + 27 for q.\n' | b'-4\n' | deepmind/math_dataset |
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