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'Simplify (i**(3/10)/i**(-3/17))**22*i*i*i**(-6)*(i/(i/(i**3/i)))/i*i*(i**(2/5))**(39/2) assuming i is positive.\n' | b'i**(1384/85)\n' | b'Simplify (i**(3/10)/i**(-3/17))**22*i*i*i**(-6)*(i/(i/(i**3/i)))/i*i*(i**(2/5))**(39/2) assuming i is positive.\n' | b'i**(1384/85)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uyuryyu. What is prob of picking 2 y?\n' | b'1/7\n' | b'Two letters picked without replacement from uyuryyu. What is prob of picking 2 y?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the third derivative of -19*u**3 + 2408*u**4 - 4826*u**4 + 2413*u**4 - 99*u + u**2 wrt u?\n' | b'-120*u - 114\n' | b'What is the third derivative of -19*u**3 + 2408*u**4 - 4826*u**4 + 2413*u**4 - 99*u + u**2 wrt u?\n' | b'-120*u - 114\n' | deepmind/math_dataset |
b'Let p(h) be the second derivative of 0*h**3 + 0 - 2*h**2 + 3*h - 1/12*h**4. What is the derivative of p(i) wrt i?\n' | b'-2*i\n' | b'Let p(h) be the second derivative of 0*h**3 + 0 - 2*h**2 + 3*h - 1/12*h**4. What is the derivative of p(i) wrt i?\n' | b'-2*i\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u, 1 d, and 1 a when four letters picked without replacement from {a: 2, d: 1, w: 1, u: 2}.\n' | b'2/15\n' | b'Calculate prob of picking 2 u, 1 d, and 1 a when four letters picked without replacement from {a: 2, d: 1, w: 1, u: 2}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify m**(-3/11)*(m*m/(m/m**8))/m*(m**(-1))**(-8) assuming m is positive.\n' | b'm**(173/11)\n' | b'Simplify m**(-3/11)*(m*m/(m/m**8))/m*(m**(-1))**(-8) assuming m is positive.\n' | b'm**(173/11)\n' | deepmind/math_dataset |
b'Simplify (y**(4/3))**(1/19)*(y/(y**(-1/22)/y))/(y**15*y) assuming y is positive.\n' | b'y**(-17411/1254)\n' | b'Simplify (y**(4/3))**(1/19)*(y/(y**(-1/22)/y))/(y**15*y) assuming y is positive.\n' | b'y**(-17411/1254)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 2, p: 1, c: 1, n: 1, a: 8, y: 2}. What is prob of sequence jjpc?\n' | b'1/16380\n' | b'Four letters picked without replacement from {j: 2, p: 1, c: 1, n: 1, a: 8, y: 2}. What is prob of sequence jjpc?\n' | b'1/16380\n' | deepmind/math_dataset |
b'Let s(z) = 3*z - 2. Let o be s(2). Suppose o*t - 15 = 5*w, 2*t - 4*t = 3*w - 13. Let u(y) = 8*y + 6*y - 16*y + 2*y + y. Determine u(w).\n' | b'1\n' | b'Let s(z) = 3*z - 2. Let o be s(2). Suppose o*t - 15 = 5*w, 2*t - 4*t = 3*w - 13. Let u(y) = 8*y + 6*y - 16*y + 2*y + y. Determine u(w).\n' | b'1\n' | deepmind/math_dataset |
b'Let x(u) = 3 + 0 + 5*u + 0*u + u**2. Suppose 0 = -6*v + 3*v - 9. Calculate x(v).\n' | b'-3\n' | b'Let x(u) = 3 + 0 + 5*u + 0*u + u**2. Suppose 0 = -6*v + 3*v - 9. Calculate x(v).\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(r) = -8*r - 2. Let m be c(-1). Find the third derivative of 31*o**2 - 40*o**2 - 2 - m*o**4 + 2 wrt o.\n' | b'-144*o\n' | b'Let c(r) = -8*r - 2. Let m be c(-1). Find the third derivative of 31*o**2 - 40*o**2 - 2 - m*o**4 + 2 wrt o.\n' | b'-144*o\n' | deepmind/math_dataset |
b'Let d = -3729 - -3733. Solve 0 = 13*v - 14*v + 2*m - 5, -11 = 5*v + d*m for v.\n' | b'-3\n' | b'Let d = -3729 - -3733. Solve 0 = 13*v - 14*v + 2*m - 5, -11 = 5*v + d*m for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dnzxv.\n' | b'1/10\n' | b'Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dnzxv.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (r**18/r*r)/r*r**(1/35) assuming r is positive.\n' | b'r**(596/35)\n' | b'Simplify (r**18/r*r)/r*r**(1/35) assuming r is positive.\n' | b'r**(596/35)\n' | deepmind/math_dataset |
b'Simplify (h/(h**(-1)/h)*h)**(19/5)*((h**(-2/5)*h)/h)**(-2/41) assuming h is positive.\n' | b'h**(624/41)\n' | b'Simplify (h/(h**(-1)/h)*h)**(19/5)*((h**(-2/5)*h)/h)**(-2/41) assuming h is positive.\n' | b'h**(624/41)\n' | deepmind/math_dataset |
b'Simplify (k**(-2/11))**(-49)/((k/(k**(-10)*k)*k)/(k/(k/((k**17*k)/k)*k))) assuming k is positive.\n' | b'k**(153/11)\n' | b'Simplify (k**(-2/11))**(-49)/((k/(k**(-10)*k)*k)/(k/(k/((k**17*k)/k)*k))) assuming k is positive.\n' | b'k**(153/11)\n' | deepmind/math_dataset |
b'Suppose -5*o + g = -15, 5*o + 4*g = 2*o + 32. Let z(p) = -p**2 + 10*p - 6. Let j be z(9). Suppose j*k = 6 + 9. Solve u + s = 3*s + 6, -o = 3*u + k*s for u.\n' | b'2\n' | b'Suppose -5*o + g = -15, 5*o + 4*g = 2*o + 32. Let z(p) = -p**2 + 10*p - 6. Let j be z(9). Suppose j*k = 6 + 9. Solve u + s = 3*s + 6, -o = 3*u + k*s for u.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -20 = 4*g - 8*g - r, 2*g = -3*r. Let j(p) = -4 + 6 + 5*p**2 + 4*p - 2*p - g*p. Determine j(2).\n' | b'14\n' | b'Suppose -20 = 4*g - 8*g - r, 2*g = -3*r. Let j(p) = -4 + 6 + 5*p**2 + 4*p - 2*p - g*p. Determine j(2).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((l**1/(l**(-2/5)/l))**(-6/5))**(30/13) assuming l is positive.\n' | b'l**(-432/65)\n' | b'Simplify ((l**1/(l**(-2/5)/l))**(-6/5))**(30/13) assuming l is positive.\n' | b'l**(-432/65)\n' | deepmind/math_dataset |
b'Let s(f) = -11*f**2 + 4*f + 34. Let g(z) = 18*z**2 - 7*z - 68. Let u(m) = 3*g(m) + 5*s(m). Give u(0).\n' | b'-34\n' | b'Let s(f) = -11*f**2 + 4*f + 34. Let g(z) = 18*z**2 - 7*z - 68. Let u(m) = 3*g(m) + 5*s(m). Give u(0).\n' | b'-34\n' | deepmind/math_dataset |
b'What is prob of sequence wwzz when four letters picked without replacement from wwwwwwwwzwwzwzww?\n' | b'3/140\n' | b'What is prob of sequence wwzz when four letters picked without replacement from wwwwwwwwzwwzwzww?\n' | b'3/140\n' | deepmind/math_dataset |
b'Let t(n) = 4*n. Let f = -1 - -2. Let i be t(f). Let u(z) = z**2 + 6*z + 12. Let c be u(-3). Solve 4*o - 4 = i*b, -2 = -2*o - c*b + 2*b for o.\n' | b'1\n' | b'Let t(n) = 4*n. Let f = -1 - -2. Let i be t(f). Let u(z) = z**2 + 6*z + 12. Let c be u(-3). Solve 4*o - 4 = i*b, -2 = -2*o - c*b + 2*b for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let x be 1 + 2 + 6/(-2) + 4. Solve 3*q - 3*s + 2 = 20, 2*s = x*q - 20 for q.\n' | b'4\n' | b'Let x be 1 + 2 + 6/(-2) + 4. Solve 3*q - 3*s + 2 = 20, 2*s = x*q - 20 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((r**(2/7))**(1/6))**(7/3))**(5/3) assuming r is positive.\n' | b'r**(5/27)\n' | b'Simplify (((r**(2/7))**(1/6))**(7/3))**(5/3) assuming r is positive.\n' | b'r**(5/27)\n' | deepmind/math_dataset |
b'Let k(n) = -n**4 - n**2 - 1. Let s(m) be the second derivative of 17*m**6/30 + m**4/3 + 20*m**2 - 44*m. Let g(v) = 4*k(v) + s(v). Differentiate g(z) wrt z.\n' | b'52*z**3\n' | b'Let k(n) = -n**4 - n**2 - 1. Let s(m) be the second derivative of 17*m**6/30 + m**4/3 + 20*m**2 - 44*m. Let g(v) = 4*k(v) + s(v). Differentiate g(z) wrt z.\n' | b'52*z**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, z: 1, o: 1, n: 1, v: 1}. Give prob of sequence pnv.\n' | b'1/60\n' | b'Three letters picked without replacement from {p: 1, z: 1, o: 1, n: 1, v: 1}. Give prob of sequence pnv.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let s(d) be the third derivative of -d**6/360 - d**4/24 + d**3/2 - 2*d**2. Let w(t) be the first derivative of s(t). What is the first derivative of w(m) wrt m?\n' | b'-2*m\n' | b'Let s(d) be the third derivative of -d**6/360 - d**4/24 + d**3/2 - 2*d**2. Let w(t) be the first derivative of s(t). What is the first derivative of w(m) wrt m?\n' | b'-2*m\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffhffhfffhff. What is prob of picking 1 f and 1 h?\n' | b'9/22\n' | b'Two letters picked without replacement from ffhffhfffhff. What is prob of picking 1 f and 1 h?\n' | b'9/22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvbvvvvvvbvvbvbvb. Give prob of sequence bbvb.\n' | b'13/1224\n' | b'Four letters picked without replacement from vvvbvvvvvvbvvbvbvb. Give prob of sequence bbvb.\n' | b'13/1224\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nbbnbbbbnsbnnbsbbn. What is prob of picking 3 n?\n' | b'5/204\n' | b'Three letters picked without replacement from nbbnbbbbnsbnnbsbbn. What is prob of picking 3 n?\n' | b'5/204\n' | deepmind/math_dataset |
b'Let n(z) = 12*z - 10. Let y(l) = -2*l - 1. Let s(d) = -d - 1. Let p(r) = 3*s(r) - 2*y(r). Let m(a) = -6*n(a) + 60*p(a). Calculate m(1).\n' | b'-12\n' | b'Let n(z) = 12*z - 10. Let y(l) = -2*l - 1. Let s(d) = -d - 1. Let p(r) = 3*s(r) - 2*y(r). Let m(a) = -6*n(a) + 60*p(a). Calculate m(1).\n' | b'-12\n' | deepmind/math_dataset |
b'Let b(r) = -5*r + 2. Let y be (60/(-150))/(2/10). What is b(y)?\n' | b'12\n' | b'Let b(r) = -5*r + 2. Let y be (60/(-150))/(2/10). What is b(y)?\n' | b'12\n' | deepmind/math_dataset |
b'Simplify ((w/(w*w*w*w**8*w))/w)/(w/w**(-5))*w/(w/w**4)*w/w**(-1/7)*w*w assuming w is positive.\n' | b'w**(-76/7)\n' | b'Simplify ((w/(w*w*w*w**8*w))/w)/(w/w**(-5))*w/(w/w**4)*w/w**(-1/7)*w*w assuming w is positive.\n' | b'w**(-76/7)\n' | deepmind/math_dataset |
b'What is prob of sequence qt when two letters picked without replacement from dqtmssp?\n' | b'1/42\n' | b'What is prob of sequence qt when two letters picked without replacement from dqtmssp?\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 3*u + 25 = 8*u. Let b(h) = -4*h + 6. Determine b(u).\n' | b'-14\n' | b'Suppose 3*u + 25 = 8*u. Let b(h) = -4*h + 6. Determine b(u).\n' | b'-14\n' | deepmind/math_dataset |
b'Let k(z) be the third derivative of -z**5/60 - z**3/6 - 4*z**2. Find the first derivative of k(p) wrt p.\n' | b'-2*p\n' | b'Let k(z) be the third derivative of -z**5/60 - z**3/6 - 4*z**2. Find the first derivative of k(p) wrt p.\n' | b'-2*p\n' | deepmind/math_dataset |
b'Simplify ((d*d**(-3))/d)**(3/2)/(d**(2/19)*d**(12/7)) assuming d is positive.\n' | b'd**(-1681/266)\n' | b'Simplify ((d*d**(-3))/d)**(3/2)/(d**(2/19)*d**(12/7)) assuming d is positive.\n' | b'd**(-1681/266)\n' | deepmind/math_dataset |
b'Simplify ((a**(-4/17)/a**(4/13))**(-11))**(49/3) assuming a is positive.\n' | b'a**(21560/221)\n' | b'Simplify ((a**(-4/17)/a**(4/13))**(-11))**(49/3) assuming a is positive.\n' | b'a**(21560/221)\n' | deepmind/math_dataset |
b'Let w(n) = n**2 - 6*n - 13. Let s be w(8). Solve 2 + 0 = -5*g + s*m, 5*g - 4*m = -1 for g.\n' | b'-1\n' | b'Let w(n) = n**2 - 6*n - 13. Let s be w(8). Solve 2 + 0 = -5*g + s*m, 5*g - 4*m = -1 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m be (-128)/(-20) + 2/(-5). Let b be m/(-42) + (-43)/(-7). Find the third derivative of 9*t**b + 5*t**2 - 648 + 648 wrt t.\n' | b'1080*t**3\n' | b'Let m be (-128)/(-20) + 2/(-5). Let b be m/(-42) + (-43)/(-7). Find the third derivative of 9*t**b + 5*t**2 - 648 + 648 wrt t.\n' | b'1080*t**3\n' | deepmind/math_dataset |
b'Let k be 84/44 + (-2)/(-22). Let j(w) = 4. Let o(g) = 108*g - 20. Let q(p) = k*j(p) - o(p). What is the derivative of q(f) wrt f?\n' | b'-108\n' | b'Let k be 84/44 + (-2)/(-22). Let j(w) = 4. Let o(g) = 108*g - 20. Let q(p) = k*j(p) - o(p). What is the derivative of q(f) wrt f?\n' | b'-108\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 2 j when four letters picked without replacement from ljrlrrjrl?\n' | b'1/21\n' | b'What is prob of picking 2 r and 2 j when four letters picked without replacement from ljrlrrjrl?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence itit when four letters picked without replacement from {t: 8, i: 3}.\n' | b'7/165\n' | b'Calculate prob of sequence itit when four letters picked without replacement from {t: 8, i: 3}.\n' | b'7/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuuuwuwuuuuuu. What is prob of sequence wwuu?\n' | b'1/78\n' | b'Four letters picked without replacement from uuuuwuwuuuuuu. What is prob of sequence wwuu?\n' | b'1/78\n' | deepmind/math_dataset |
b'Find the second derivative of -9*a**3 + 2*a**3 - 14*a**3 - 11*a wrt a.\n' | b'-126*a\n' | b'Find the second derivative of -9*a**3 + 2*a**3 - 14*a**3 - 11*a wrt a.\n' | b'-126*a\n' | deepmind/math_dataset |
b'Let q = 8 - 4. Let p(d) be the first derivative of -9*d + 2 - 7*d**4 + 1 + 9*d**q. Find the first derivative of p(l) wrt l.\n' | b'24*l**2\n' | b'Let q = 8 - 4. Let p(d) be the first derivative of -9*d + 2 - 7*d**4 + 1 + 9*d**q. Find the first derivative of p(l) wrt l.\n' | b'24*l**2\n' | deepmind/math_dataset |
b'What is prob of sequence aaak when four letters picked without replacement from {k: 2, e: 12, a: 5}?\n' | b'5/3876\n' | b'What is prob of sequence aaak when four letters picked without replacement from {k: 2, e: 12, a: 5}?\n' | b'5/3876\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, e: 1, a: 2, i: 1, j: 4, c: 2}. What is prob of picking 2 a, 1 i, and 1 c?\n' | b'2/495\n' | b'Four letters picked without replacement from {w: 2, e: 1, a: 2, i: 1, j: 4, c: 2}. What is prob of picking 2 a, 1 i, and 1 c?\n' | b'2/495\n' | deepmind/math_dataset |
b'Simplify ((s**(-1/7)*s**(4/3))/(s**(-2/3)/s)**(-2))/((s*s**(-1)*s)**(-2))**11 assuming s is positive.\n' | b's**(139/7)\n' | b'Simplify ((s**(-1/7)*s**(4/3))/(s**(-2/3)/s)**(-2))/((s*s**(-1)*s)**(-2))**11 assuming s is positive.\n' | b's**(139/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccnncncc. What is prob of sequence cnn?\n' | b'5/56\n' | b'Three letters picked without replacement from ccnncncc. What is prob of sequence cnn?\n' | b'5/56\n' | deepmind/math_dataset |
b'Let x(g) = -2*g**4 - 3*g**3 - 2*g**2 - 3*g. Let w(j) = -4*j**4 - 5*j**3 - 4*j**2 - 5*j. Let o(h) = 6*w(h) - 10*x(h). Find the third derivative of o(z) wrt z.\n' | b'-96*z\n' | b'Let x(g) = -2*g**4 - 3*g**3 - 2*g**2 - 3*g. Let w(j) = -4*j**4 - 5*j**3 - 4*j**2 - 5*j. Let o(h) = 6*w(h) - 10*x(h). Find the third derivative of o(z) wrt z.\n' | b'-96*z\n' | deepmind/math_dataset |
b'Let q(r) = 3*r**2 + 10*r + 12. Let p(j) = -j**2 - 3*j - 4. Let b(i) = 8*p(i) + 3*q(i). Let w = -8 + 11. Suppose 0 = -y - w*y - 24. Calculate b(y).\n' | b'4\n' | b'Let q(r) = 3*r**2 + 10*r + 12. Let p(j) = -j**2 - 3*j - 4. Let b(i) = 8*p(i) + 3*q(i). Let w = -8 + 11. Suppose 0 = -y - w*y - 24. Calculate b(y).\n' | b'4\n' | deepmind/math_dataset |
b'Let i(j) = -j - 9. Let a(p) = -11*p**2 - 2*p + 1. Let f be a(1). Let v be i(f). What is the second derivative of v*z - z - 5*z - 4*z**4 wrt z?\n' | b'-48*z**2\n' | b'Let i(j) = -j - 9. Let a(p) = -11*p**2 - 2*p + 1. Let f be a(1). Let v be i(f). What is the second derivative of v*z - z - 5*z - 4*z**4 wrt z?\n' | b'-48*z**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, a: 5}.\n' | b'10/21\n' | b'Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, a: 5}.\n' | b'10/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, z: 4, f: 2, v: 1}. Give prob of picking 1 x and 1 f.\n' | b'2/15\n' | b'Two letters picked without replacement from {x: 3, z: 4, f: 2, v: 1}. Give prob of picking 1 x and 1 f.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (g**(-30)*g**(-11/6)*g/(g/(g*g**(-2/109)/g))*g*g/(g*g**(-4/5)*g*g*g)*g)**(12/11) assuming g is positive.\n' | b'g**(-209618/5995)\n' | b'Simplify (g**(-30)*g**(-11/6)*g/(g/(g*g**(-2/109)/g))*g*g/(g*g**(-4/5)*g*g*g)*g)**(12/11) assuming g is positive.\n' | b'g**(-209618/5995)\n' | deepmind/math_dataset |
b'Simplify (n*n*n**(-2)/n)**(-34)/(n*n**(3/5)*n*n**(-4/13)) assuming n is positive.\n' | b'n**(2061/65)\n' | b'Simplify (n*n*n**(-2)/n)**(-34)/(n*n**(3/5)*n*n**(-4/13)) assuming n is positive.\n' | b'n**(2061/65)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 1, q: 1, e: 1, c: 1, v: 1}. Give prob of picking 1 e, 1 c, and 1 v.\n' | b'1/10\n' | b'Three letters picked without replacement from {g: 1, q: 1, e: 1, c: 1, v: 1}. Give prob of picking 1 e, 1 c, and 1 v.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(w) be the second derivative of -w**7/42 + 7*w**5/20 - w**4/6 - 23*w**3/6 + 5*w + 2. What is the third derivative of c(s) wrt s?\n' | b'-60*s**2 + 42\n' | b'Let c(w) be the second derivative of -w**7/42 + 7*w**5/20 - w**4/6 - 23*w**3/6 + 5*w + 2. What is the third derivative of c(s) wrt s?\n' | b'-60*s**2 + 42\n' | deepmind/math_dataset |
b'Let o(g) be the first derivative of -83*g**4/4 - 8*g**3/3 + 511*g**2 + 645. What is the second derivative of o(x) wrt x?\n' | b'-498*x - 16\n' | b'Let o(g) be the first derivative of -83*g**4/4 - 8*g**3/3 + 511*g**2 + 645. What is the second derivative of o(x) wrt x?\n' | b'-498*x - 16\n' | deepmind/math_dataset |
b'Let n = -8 + 5. Suppose -2 - 10 = -3*i. Let f(c) = -4 + 7 + 0*c + i*c. Determine f(n).\n' | b'-9\n' | b'Let n = -8 + 5. Suppose -2 - 10 = -3*i. Let f(c) = -4 + 7 + 0*c + i*c. Determine f(n).\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qmmcyqmm. What is prob of picking 1 y and 1 q?\n' | b'1/14\n' | b'Two letters picked without replacement from qmmcyqmm. What is prob of picking 1 y and 1 q?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 2*u = 7*u - 25. Solve 0*s + s - u*n = 11, 10 = -5*n for s.\n' | b'1\n' | b'Suppose 2*u = 7*u - 25. Solve 0*s + s - u*n = 11, 10 = -5*n for s.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (g*g/g**(-2)*g**(-1/10))/(g**3*g/g**(-1/7))*(g**(-3)/g*g**0/g)/((g/(g**(2/15)*g*g))/(g*g*g/g**7)) assuming g is positive.\n' | b'g**(-1703/210)\n' | b'Simplify (g*g/g**(-2)*g**(-1/10))/(g**3*g/g**(-1/7))*(g**(-3)/g*g**0/g)/((g/(g**(2/15)*g*g))/(g*g*g/g**7)) assuming g is positive.\n' | b'g**(-1703/210)\n' | deepmind/math_dataset |
b'Let p = -42 + 60. Find the third derivative of 8*c**4 + 2*c**2 + p*c**4 + c**2 - 6*c**2 wrt c.\n' | b'624*c\n' | b'Let p = -42 + 60. Find the third derivative of 8*c**4 + 2*c**2 + p*c**4 + c**2 - 6*c**2 wrt c.\n' | b'624*c\n' | deepmind/math_dataset |
b'What is the third derivative of -35*n**4 - 42*n**4 + 83*n**4 - 17*n**6 - 11*n**6 - 184*n**2 wrt n?\n' | b'-3360*n**3 + 144*n\n' | b'What is the third derivative of -35*n**4 - 42*n**4 + 83*n**4 - 17*n**6 - 11*n**6 - 184*n**2 wrt n?\n' | b'-3360*n**3 + 144*n\n' | deepmind/math_dataset |
b'Let w(p) be the second derivative of -p**5/20 - 11*p**4/12 - 5*p**3/6 - 6*p**2 - 1954*p. Determine w(-11).\n' | b'43\n' | b'Let w(p) be the second derivative of -p**5/20 - 11*p**4/12 - 5*p**3/6 - 6*p**2 - 1954*p. Determine w(-11).\n' | b'43\n' | deepmind/math_dataset |
b'Simplify ((t*t*t*t/(t**(5/8)*t)*t)/t**(-28))/(t/((t**(-6/7)*t)/t)*t*t*((t**(-33)*t)/t)/t) assuming t is positive.\n' | b't**(3445/56)\n' | b'Simplify ((t*t*t*t/(t**(5/8)*t)*t)/t**(-28))/(t/((t**(-6/7)*t)/t)*t*t*((t**(-33)*t)/t)/t) assuming t is positive.\n' | b't**(3445/56)\n' | deepmind/math_dataset |
b'Let z = 17 + 51. Suppose 24*t = 1775 - 143. Let w = t - z. Solve 28 = -y - y - 4*q, w = 3*y + 3*q + 27 for y.\n' | b'-4\n' | b'Let z = 17 + 51. Suppose 24*t = 1775 - 143. Let w = t - z. Solve 28 = -y - y - 4*q, w = 3*y + 3*q + 27 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/3)/v)/v)**(4/7)*(v**(1/3))**(-2/45) assuming v is positive.\n' | b'v**(-1454/945)\n' | b'Simplify ((v**(-2/3)/v)/v)**(4/7)*(v**(1/3))**(-2/45) assuming v is positive.\n' | b'v**(-1454/945)\n' | deepmind/math_dataset |
b'What is the second derivative of 8 + 233*c - 3 - 238*c - 20*c**5 wrt c?\n' | b'-400*c**3\n' | b'What is the second derivative of 8 + 233*c - 3 - 238*c - 20*c**5 wrt c?\n' | b'-400*c**3\n' | deepmind/math_dataset |
b'Suppose f - 4*i + 8 = 1, 4*i = -f + 1. Let x be 86/18 + (-18)/(-81). Let u(s) = -4*s + 3*s + 4*s - x*s - s**2. Give u(f).\n' | b'-3\n' | b'Suppose f - 4*i + 8 = 1, 4*i = -f + 1. Let x be 86/18 + (-18)/(-81). Let u(s) = -4*s + 3*s + 4*s - x*s - s**2. Give u(f).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (v/v**(-1/8))/(v*v/((v**4*v)/v))*(v**(-2/5))**36 assuming v is positive.\n' | b'v**(-451/40)\n' | b'Simplify (v/v**(-1/8))/(v*v/((v**4*v)/v))*(v**(-2/5))**36 assuming v is positive.\n' | b'v**(-451/40)\n' | deepmind/math_dataset |
b'Let c = 153 - 161. Let a(u) = -u**2 - 6*u + 17. Determine a(c).\n' | b'1\n' | b'Let c = 153 - 161. Let a(u) = -u**2 - 6*u + 17. Determine a(c).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 96 = 6*h - 0*h. Find the third derivative of 21*t**4 - 7*t**2 - h*t**4 + 19*t**2 wrt t.\n' | b'120*t\n' | b'Suppose 96 = 6*h - 0*h. Find the third derivative of 21*t**4 - 7*t**2 - h*t**4 + 19*t**2 wrt t.\n' | b'120*t\n' | deepmind/math_dataset |
b'Let v(q) = -q - 1. Let l(g) = -7*g - 4. Let b(x) = l(x) - 6*v(x). Give b(2).\n' | b'0\n' | b'Let v(q) = -q - 1. Let l(g) = -7*g - 4. Let b(x) = l(x) - 6*v(x). Give b(2).\n' | b'0\n' | deepmind/math_dataset |
b'Let m(s) = 135*s**4 + 6*s**2 + 19. Let j(y) = -269*y**4 - 11*y**2 - 37. Let a(b) = 6*j(b) + 11*m(b). What is the first derivative of a(l) wrt l?\n' | b'-516*l**3\n' | b'Let m(s) = 135*s**4 + 6*s**2 + 19. Let j(y) = -269*y**4 - 11*y**2 - 37. Let a(b) = 6*j(b) + 11*m(b). What is the first derivative of a(l) wrt l?\n' | b'-516*l**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pbb when three letters picked without replacement from tbmbpm.\n' | b'1/60\n' | b'Calculate prob of sequence pbb when three letters picked without replacement from tbmbpm.\n' | b'1/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iwiwwwwwww. What is prob of sequence wwii?\n' | b'1/45\n' | b'Four letters picked without replacement from iwiwwwwwww. What is prob of sequence wwii?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let h(m) = m**2 + 3*m - 4. Let j be -3 - (-3 - 1)*(-2)/4. Calculate h(j).\n' | b'6\n' | b'Let h(m) = m**2 + 3*m - 4. Let j be -3 - (-3 - 1)*(-2)/4. Calculate h(j).\n' | b'6\n' | deepmind/math_dataset |
b'Let b be 103 + 0/(-5) - 0. What is the third derivative of 205*w**5 - 116*w**5 - b*w**5 - 19*w**2 wrt w?\n' | b'-840*w**2\n' | b'Let b be 103 + 0/(-5) - 0. What is the third derivative of 205*w**5 - 116*w**5 - b*w**5 - 19*w**2 wrt w?\n' | b'-840*w**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 5, k: 5, m: 5, v: 2, i: 1}. Give prob of sequence muuu.\n' | b'5/1224\n' | b'Four letters picked without replacement from {u: 5, k: 5, m: 5, v: 2, i: 1}. Give prob of sequence muuu.\n' | b'5/1224\n' | deepmind/math_dataset |
b'Two letters picked without replacement from elleflamclaa. What is prob of picking 1 c and 1 a?\n' | b'1/22\n' | b'Two letters picked without replacement from elleflamclaa. What is prob of picking 1 c and 1 a?\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify ((t**(2/7)*t*t)/t**(2/9))/(((t/(t/t**2))/t)/(t*t*t**(-2/11)*t*t*t))*(t**(1/3)/(t*t**(3/8)))**(-4/13) assuming t is positive.\n' | b't**(111751/18018)\n' | b'Simplify ((t**(2/7)*t*t)/t**(2/9))/(((t/(t/t**2))/t)/(t*t*t**(-2/11)*t*t*t))*(t**(1/3)/(t*t**(3/8)))**(-4/13) assuming t is positive.\n' | b't**(111751/18018)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 5, d: 7}. What is prob of picking 3 d?\n' | b'7/44\n' | b'Three letters picked without replacement from {n: 5, d: 7}. What is prob of picking 3 d?\n' | b'7/44\n' | deepmind/math_dataset |
b'Suppose -27*q - 4 = -4. Let w(c) be the first derivative of 0*c + 1/5*c**5 - 7 - 3*c**2 + 0*c**4 + q*c**3. Find the second derivative of w(g) wrt g.\n' | b'12*g**2\n' | b'Suppose -27*q - 4 = -4. Let w(c) be the first derivative of 0*c + 1/5*c**5 - 7 - 3*c**2 + 0*c**4 + q*c**3. Find the second derivative of w(g) wrt g.\n' | b'12*g**2\n' | deepmind/math_dataset |
b'Simplify (b*((b/(b**2/b)*b)/b)/b)/b**4*b**(2/9)*b**4 assuming b is positive.\n' | b'b**(2/9)\n' | b'Simplify (b*((b/(b**2/b)*b)/b)/b)/b**4*b**(2/9)*b**4 assuming b is positive.\n' | b'b**(2/9)\n' | deepmind/math_dataset |
b'Suppose 3*i = -0 - 3, i = 3*g - 61. Let s = -14 + g. Find the third derivative of m**5 - 6*m**3 + 2*m**2 + s*m**3 wrt m.\n' | b'60*m**2\n' | b'Suppose 3*i = -0 - 3, i = 3*g - 61. Let s = -14 + g. Find the third derivative of m**5 - 6*m**3 + 2*m**2 + s*m**3 wrt m.\n' | b'60*m**2\n' | deepmind/math_dataset |
b'Let w = 7 - 1. Let h = -3 + w. Let x(q) = -79*q - 5 - 10*q + 2 + 91*q + 4. Determine x(h).\n' | b'7\n' | b'Let w = 7 - 1. Let h = -3 + w. Let x(q) = -79*q - 5 - 10*q + 2 + 91*q + 4. Determine x(h).\n' | b'7\n' | deepmind/math_dataset |
b'Let r = 3 - -2. Suppose -r*s = -6 - 4. Find the second derivative of 2*f**2 - f + 2*f**2 - 5*f**s + 0*f wrt f.\n' | b'-2\n' | b'Let r = 3 - -2. Suppose -r*s = -6 - 4. Find the second derivative of 2*f**2 - f + 2*f**2 - 5*f**s + 0*f wrt f.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, s: 2, p: 1}. What is prob of picking 1 s and 1 y?\n' | b'1/3\n' | b'Two letters picked without replacement from {y: 1, s: 2, p: 1}. What is prob of picking 1 s and 1 y?\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dww when three letters picked without replacement from xwwwxxwxwxddxxxwxxxw.\n' | b'7/570\n' | b'Calculate prob of sequence dww when three letters picked without replacement from xwwwxxwxwxddxxxwxxxw.\n' | b'7/570\n' | deepmind/math_dataset |
b'Let p = -314 + 318. Let w(x) be the second derivative of 0*x**2 - 1/2*x**3 - 9*x - 1/3*x**p + 0. Find the second derivative of w(a) wrt a.\n' | b'-8\n' | b'Let p = -314 + 318. Let w(x) be the second derivative of 0*x**2 - 1/2*x**3 - 9*x - 1/3*x**p + 0. Find the second derivative of w(a) wrt a.\n' | b'-8\n' | deepmind/math_dataset |
b'Let z(q) = 1 + q + q**2 + q**3 + 0*q - 3*q**2 + 0*q**2. Suppose 0 = -3*a + 1 + 5. Calculate z(a).\n' | b'3\n' | b'Let z(q) = 1 + q + q**2 + q**3 + 0*q - 3*q**2 + 0*q**2. Suppose 0 = -3*a + 1 + 5. Calculate z(a).\n' | b'3\n' | deepmind/math_dataset |
b'Let y(s) = -21*s**2 + 13*s**2 + 4*s + 10*s**2. Suppose 25 = -5*d + 2*w, 4*w - 46 = d - 23. Give y(d).\n' | b'6\n' | b'Let y(s) = -21*s**2 + 13*s**2 + 4*s + 10*s**2. Suppose 25 = -5*d + 2*w, 4*w - 46 = d - 23. Give y(d).\n' | b'6\n' | deepmind/math_dataset |
b'Let q = -75 + 80. What is the third derivative of 14*w + 87*w**5 - 9*w**2 + 10*w**2 - 32*w**q wrt w?\n' | b'3300*w**2\n' | b'Let q = -75 + 80. What is the third derivative of 14*w + 87*w**5 - 9*w**2 + 10*w**2 - 32*w**q wrt w?\n' | b'3300*w**2\n' | deepmind/math_dataset |
b'What is prob of sequence bufl when four letters picked without replacement from {b: 1, v: 7, u: 2, f: 5, d: 1, l: 1}?\n' | b'1/5712\n' | b'What is prob of sequence bufl when four letters picked without replacement from {b: 1, v: 7, u: 2, f: 5, d: 1, l: 1}?\n' | b'1/5712\n' | deepmind/math_dataset |
b'Simplify ((x/((x*x**13/x)/x))/x*x**(-14))**40/((x*x**0*x)**33/((x/(x**(-7)/x))/(x*x/(x/(x/x**(2/9)))))) assuming x is positive.\n' | b'x**(-9889/9)\n' | b'Simplify ((x/((x*x**13/x)/x))/x*x**(-14))**40/((x*x**0*x)**33/((x/(x**(-7)/x))/(x*x/(x/(x/x**(2/9)))))) assuming x is positive.\n' | b'x**(-9889/9)\n' | deepmind/math_dataset |
b'Let i(p) = -6*p - 6 - 3 - 6*p**2 + 11*p - p**3. Let s be i(-7). Find the second derivative of 8*g + 5*g**s + 9*g**5 - 24*g**5 wrt g.\n' | b'-200*g**3\n' | b'Let i(p) = -6*p - 6 - 3 - 6*p**2 + 11*p - p**3. Let s be i(-7). Find the second derivative of 8*g + 5*g**s + 9*g**5 - 24*g**5 wrt g.\n' | b'-200*g**3\n' | deepmind/math_dataset |
b'Let i(l) = -6*l - 4. Let g(y) = 25*y + 17. Let k(h) = -2*g(h) - 9*i(h). What is the derivative of k(x) wrt x?\n' | b'4\n' | b'Let i(l) = -6*l - 4. Let g(y) = 25*y + 17. Let k(h) = -2*g(h) - 9*i(h). What is the derivative of k(x) wrt x?\n' | b'4\n' | deepmind/math_dataset |
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