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 {i: 1, b: 1, u: 1, z: 1, m: 1}. What is prob of sequence im?\n' | b'1/20\n' | b'Two letters picked without replacement from {i: 1, b: 1, u: 1, z: 1, m: 1}. What is prob of sequence im?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let g(s) be the third derivative of 2*s**6/15 - 5*s**4/4 + 30*s**2. What is the second derivative of g(y) wrt y?\n' | b'96*y\n' | b'Let g(s) be the third derivative of 2*s**6/15 - 5*s**4/4 + 30*s**2. What is the second derivative of g(y) wrt y?\n' | b'96*y\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from kvvxvvxx.\n' | b'3/28\n' | b'Calculate prob of sequence xx when two letters picked without replacement from kvvxvvxx.\n' | b'3/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jghdt. Give prob of sequence dt.\n' | b'1/20\n' | b'Two letters picked without replacement from jghdt. Give prob of sequence dt.\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence ih when two letters picked without replacement from oiohoiiihiif?\n' | b'1/11\n' | b'What is prob of sequence ih when two letters picked without replacement from oiohoiiihiif?\n' | b'1/11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 2, s: 1, t: 2}. What is prob of picking 2 h?\n' | b'1/10\n' | b'Two letters picked without replacement from {h: 2, s: 1, t: 2}. What is prob of picking 2 h?\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxwxfsxxwxxkf. What is prob of sequence wfs?\n' | b'1/546\n' | b'Three letters picked without replacement from xxxwxfsxxwxxkf. What is prob of sequence wfs?\n' | b'1/546\n' | deepmind/math_dataset |
b'Calculate prob of sequence ywk when three letters picked without replacement from {y: 1, r: 4, k: 3, w: 3}.\n' | b'1/110\n' | b'Calculate prob of sequence ywk when three letters picked without replacement from {y: 1, r: 4, k: 3, w: 3}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {z: 1, q: 3, k: 1}.\n' | b'3/10\n' | b'Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {z: 1, q: 3, k: 1}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vzpbpbppbbz. Give prob of picking 1 b and 2 p.\n' | b'8/55\n' | b'Three letters picked without replacement from vzpbpbppbbz. Give prob of picking 1 b and 2 p.\n' | b'8/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h, 1 t, 1 b, and 1 m when four letters picked without replacement from mtbmmmhtmhtbbmbcmht.\n' | b'28/323\n' | b'Calculate prob of picking 1 h, 1 t, 1 b, and 1 m when four letters picked without replacement from mtbmmmhtmhtbbmbcmht.\n' | b'28/323\n' | deepmind/math_dataset |
b'Simplify ((g/(g**(-1)*g)*g)**(-2/13))**(-30/11)/((g*g**(-2)*g)/(g*g**3*g)*g**(-5)/g**7) assuming g is positive.\n' | b'g**(2551/143)\n' | b'Simplify ((g/(g**(-1)*g)*g)**(-2/13))**(-30/11)/((g*g**(-2)*g)/(g*g**3*g)*g**(-5)/g**7) assuming g is positive.\n' | b'g**(2551/143)\n' | deepmind/math_dataset |
b'Let u(f) = -f. Let s be u(1). Let p be 2/6 + s/3. Solve p = -g + 2*x + 15, -5*g = -x - 20 - 10 for g.\n' | b'5\n' | b'Let u(f) = -f. Let s be u(1). Let p be 2/6 + s/3. Solve p = -g + 2*x + 15, -5*g = -x - 20 - 10 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let x be 3*(-2 - -1)*-1. Suppose 1 = -5*r + x*d + 20, -4*r + 16 = -2*d. Let b(o) = -o**3 + 6*o**2 - 6*o + 2. What is b(r)?\n' | b'-3\n' | b'Let x be 3*(-2 - -1)*-1. Suppose 1 = -5*r + x*d + 20, -4*r + 16 = -2*d. Let b(o) = -o**3 + 6*o**2 - 6*o + 2. What is b(r)?\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qbbwqzwbxbbwzzwz. Give prob of picking 2 z and 1 b.\n' | b'3/56\n' | b'Three letters picked without replacement from qbbwqzwbxbbwzzwz. Give prob of picking 2 z and 1 b.\n' | b'3/56\n' | deepmind/math_dataset |
b'What is the first derivative of h**3 + 8 + 20*h**3 - 5*h**3 wrt h?\n' | b'48*h**2\n' | b'What is the first derivative of h**3 + 8 + 20*h**3 - 5*h**3 wrt h?\n' | b'48*h**2\n' | deepmind/math_dataset |
b'Simplify ((g*g/g**(-2/11))/(g*(g/(g*g*g**(-4/11)))/g))**47*(g/g**2)**13*(g*g**(-1)/g)**47 assuming g is positive.\n' | b'g**(797/11)\n' | b'Simplify ((g*g/g**(-2/11))/(g*(g/(g*g*g**(-4/11)))/g))**47*(g/g**2)**13*(g*g**(-1)/g)**47 assuming g is positive.\n' | b'g**(797/11)\n' | deepmind/math_dataset |
b'Let h(y) be the third derivative of -y**5/60 - y**4/24 - y**3/6 + 5*y**2. Suppose a - 2*a = 0. Determine h(a).\n' | b'-1\n' | b'Let h(y) be the third derivative of -y**5/60 - y**4/24 - y**3/6 + 5*y**2. Suppose a - 2*a = 0. Determine h(a).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 t when two letters picked without replacement from ktootmomttbttmmbmtko?\n' | b'7/38\n' | b'What is prob of picking 1 m and 1 t when two letters picked without replacement from ktootmomttbttmmbmtko?\n' | b'7/38\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 4, c: 3, z: 1, g: 4, i: 7}. What is prob of sequence zic?\n' | b'7/1938\n' | b'Three letters picked without replacement from {a: 4, c: 3, z: 1, g: 4, i: 7}. What is prob of sequence zic?\n' | b'7/1938\n' | deepmind/math_dataset |
b'Suppose 10 = -5*w, 10 = -5*r - 4*w - w. Let i be (5 - 0/(-3)) + r. What is the second derivative of 3*k**5 - 1 + 6*k + 1 + 4*k**i wrt k?\n' | b'140*k**3\n' | b'Suppose 10 = -5*w, 10 = -5*r - 4*w - w. Let i be (5 - 0/(-3)) + r. What is the second derivative of 3*k**5 - 1 + 6*k + 1 + 4*k**i wrt k?\n' | b'140*k**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence sfd when three letters picked without replacement from fdsd.\n' | b'1/12\n' | b'Calculate prob of sequence sfd when three letters picked without replacement from fdsd.\n' | b'1/12\n' | deepmind/math_dataset |
b'What is prob of sequence hu when two letters picked without replacement from {d: 1, a: 1, u: 1, r: 2, e: 1, h: 1}?\n' | b'1/42\n' | b'What is prob of sequence hu when two letters picked without replacement from {d: 1, a: 1, u: 1, r: 2, e: 1, h: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is the third derivative of 34*l**2 + 24*l + 20*l - 44*l - 88*l**3 wrt l?\n' | b'-528\n' | b'What is the third derivative of 34*l**2 + 24*l + 20*l - 44*l - 88*l**3 wrt l?\n' | b'-528\n' | deepmind/math_dataset |
b'What is prob of sequence in when two letters picked without replacement from {c: 3, t: 3, n: 4, i: 4}?\n' | b'8/91\n' | b'What is prob of sequence in when two letters picked without replacement from {c: 3, t: 3, n: 4, i: 4}?\n' | b'8/91\n' | deepmind/math_dataset |
b'Let y(i) = 30*i - 14. Suppose 2*c + 21 = -7. Let o(t) = 10*t - 5. Let f(s) = c*o(s) + 5*y(s). Give f(-1).\n' | b'-10\n' | b'Let y(i) = 30*i - 14. Suppose 2*c + 21 = -7. Let o(t) = 10*t - 5. Let f(s) = c*o(s) + 5*y(s). Give f(-1).\n' | b'-10\n' | deepmind/math_dataset |
b'Let h(x) be the third derivative of x**6/120 + x**5/10 + x**4/3 + 7*x**3/6 + 6*x**2 + x. Calculate h(-5).\n' | b'-8\n' | b'Let h(x) be the third derivative of x**6/120 + x**5/10 + x**4/3 + 7*x**3/6 + 6*x**2 + x. Calculate h(-5).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 6 = 2*m - 6*w + 2*w, -8 = -4*w. Let b(q) = 6*q - 9. Let a(t) = 5*t - 8. Let y(c) = m*a(c) - 6*b(c). What is y(-6)?\n' | b'4\n' | b'Suppose 6 = 2*m - 6*w + 2*w, -8 = -4*w. Let b(q) = 6*q - 9. Let a(t) = 5*t - 8. Let y(c) = m*a(c) - 6*b(c). What is y(-6)?\n' | b'4\n' | deepmind/math_dataset |
b'Differentiate -12 + 2 + 134*b - 23 + 0 - 26 wrt b.\n' | b'134\n' | b'Differentiate -12 + 2 + 134*b - 23 + 0 - 26 wrt b.\n' | b'134\n' | deepmind/math_dataset |
b'Let c = -207 + 202. Let i(t) = t + 7. Let q(o) = 5*o + 36. Let f(m) = 11*i(m) - 2*q(m). Let a be f(c). Solve 5*r + 36 = -3*p + 16, a = 4*p for r.\n' | b'-4\n' | b'Let c = -207 + 202. Let i(t) = t + 7. Let q(o) = 5*o + 36. Let f(m) = 11*i(m) - 2*q(m). Let a be f(c). Solve 5*r + 36 = -3*p + 16, a = 4*p for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = 16*j - 11*j - 20. Let y(f) be the third derivative of 1/8*f**4 - 1/6*f**3 - j*f**2 + 0 + 0*f. What is the derivative of y(q) wrt q?\n' | b'3\n' | b'Suppose 0 = 16*j - 11*j - 20. Let y(f) be the third derivative of 1/8*f**4 - 1/6*f**3 - j*f**2 + 0 + 0*f. What is the derivative of y(q) wrt q?\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddiblldiddid. What is prob of picking 3 d?\n' | b'1/11\n' | b'Three letters picked without replacement from ddiblldiddid. What is prob of picking 3 d?\n' | b'1/11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 3, h: 2, c: 6, j: 2}. What is prob of picking 1 h, 2 j, and 1 c?\n' | b'12/715\n' | b'Four letters picked without replacement from {i: 3, h: 2, c: 6, j: 2}. What is prob of picking 1 h, 2 j, and 1 c?\n' | b'12/715\n' | deepmind/math_dataset |
b'Let n(m) = -300*m**3 - 2 - 272*m**3 - 36*m**2 + 574*m**3. Calculate n(18).\n' | b'-2\n' | b'Let n(m) = -300*m**3 - 2 - 272*m**3 - 36*m**2 + 574*m**3. Calculate n(18).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, n: 1, p: 1, f: 1, j: 2, c: 1}. What is prob of sequence cp?\n' | b'1/42\n' | b'Two letters picked without replacement from {r: 1, n: 1, p: 1, f: 1, j: 2, c: 1}. What is prob of sequence cp?\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, i: 7, d: 3, s: 1, o: 2, a: 1}. What is prob of picking 1 s and 1 a?\n' | b'1/136\n' | b'Two letters picked without replacement from {n: 3, i: 7, d: 3, s: 1, o: 2, a: 1}. What is prob of picking 1 s and 1 a?\n' | b'1/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 3, h: 2, k: 1, y: 4, v: 3, i: 2}. What is prob of sequence zkv?\n' | b'3/910\n' | b'Three letters picked without replacement from {z: 3, h: 2, k: 1, y: 4, v: 3, i: 2}. What is prob of sequence zkv?\n' | b'3/910\n' | deepmind/math_dataset |
b'Let g(a) = a**2 + 7*a - 5. Let f be g(-7). Let z(q) = q + 4. Let t be z(f). Let j(b) = -8*b - 4. Let d(p) = 7*p + 3. Let u(n) = 3*d(n) + 2*j(n). Calculate u(t).\n' | b'-4\n' | b'Let g(a) = a**2 + 7*a - 5. Let f be g(-7). Let z(q) = q + 4. Let t be z(f). Let j(b) = -8*b - 4. Let d(p) = 7*p + 3. Let u(n) = 3*d(n) + 2*j(n). Calculate u(t).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence opo when three letters picked without replacement from {o: 1, p: 1, s: 1}.\n' | b'0\n' | b'Calculate prob of sequence opo when three letters picked without replacement from {o: 1, p: 1, s: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(f) = -30 + 0*f**2 + 10*f**2 - 2*f - 9*f**2. Let t be n(7). Solve -2*j + 5*w + t = -2, j = 3*w + 4 for j.\n' | b'1\n' | b'Let n(f) = -30 + 0*f**2 + 10*f**2 - 2*f - 9*f**2. Let t be n(7). Solve -2*j + 5*w + t = -2, j = 3*w + 4 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((b/(b*b*b**0*b))**(-11))**(-5/11)/(b**(-1)/b*b**(-2/7)*((b**7/b*b)/b)/(b**(1/9)/b)) assuming b is positive.\n' | b'b**(-920/63)\n' | b'Simplify ((b/(b*b*b**0*b))**(-11))**(-5/11)/(b**(-1)/b*b**(-2/7)*((b**7/b*b)/b)/(b**(1/9)/b)) assuming b is positive.\n' | b'b**(-920/63)\n' | deepmind/math_dataset |
b'Let b(l) = 290*l**3 + l**2 - 12*l - 5. Let y(u) = 288*u**3 + u**2 - 11*u - 7. Let x(v) = -3*b(v) + 2*y(v). Find the second derivative of x(s) wrt s.\n' | b'-1764*s - 2\n' | b'Let b(l) = 290*l**3 + l**2 - 12*l - 5. Let y(u) = 288*u**3 + u**2 - 11*u - 7. Let x(v) = -3*b(v) + 2*y(v). Find the second derivative of x(s) wrt s.\n' | b'-1764*s - 2\n' | deepmind/math_dataset |
b'Simplify (k*k/(k**1*k))/((k/(k/(k/(k/k**(2/7)))*k))/k) assuming k is positive.\n' | b'k**(12/7)\n' | b'Simplify (k*k/(k**1*k))/((k/(k/(k/(k/k**(2/7)))*k))/k) assuming k is positive.\n' | b'k**(12/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from hyyyhhyhyhhyyyhy.\n' | b'1/16\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from hyyyhhyhyhhyyyhy.\n' | b'1/16\n' | deepmind/math_dataset |
b'Simplify (r**(3/7)*r**7)**8/((r/(r*r**(-3)))/r*(r*(r*(r/r**(-1/4))/r)/r*r)/r*((r*r*r**(-1/12))/r)/(r**5*r)) assuming r is positive.\n' | b'r**(2573/42)\n' | b'Simplify (r**(3/7)*r**7)**8/((r/(r*r**(-3)))/r*(r*(r*(r/r**(-1/4))/r)/r*r)/r*((r*r*r**(-1/12))/r)/(r**5*r)) assuming r is positive.\n' | b'r**(2573/42)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, v: 2}. Give prob of sequence lvll.\n' | b'1/10\n' | b'Four letters picked without replacement from {l: 3, v: 2}. Give prob of sequence lvll.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let d = 1251 + -1249. Let u(s) be the first derivative of 0*s**3 - 1 - 4*s**d - 11/5*s**5 + 0*s + 0*s**4. What is the second derivative of u(m) wrt m?\n' | b'-132*m**2\n' | b'Let d = 1251 + -1249. Let u(s) be the first derivative of 0*s**3 - 1 - 4*s**d - 11/5*s**5 + 0*s + 0*s**4. What is the second derivative of u(m) wrt m?\n' | b'-132*m**2\n' | deepmind/math_dataset |
b'Suppose g = -753*t + 755*t, -7 = -5*g + 3*t. Solve g*s - i = 9, -s + 3*i - 17 = -6*s for s.\n' | b'4\n' | b'Suppose g = -753*t + 755*t, -7 = -5*g + 3*t. Solve g*s - i = 9, -s + 3*i - 17 = -6*s for s.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*q + z = 0, -4*z = 3 + 14 + 7. Solve 4*k - 5*l = 28, q*l = 2*k + l - 8 for k.\n' | b'2\n' | b'Suppose 3*q + z = 0, -4*z = 3 + 14 + 7. Solve 4*k - 5*l = 28, q*l = 2*k + l - 8 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let w = 30 + -29. Let i(u) be the first derivative of w - 4*u + 1/2*u**2. What is i(-3)?\n' | b'-7\n' | b'Let w = 30 + -29. Let i(u) be the first derivative of w - 4*u + 1/2*u**2. What is i(-3)?\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of sequence es when two letters picked without replacement from {s: 1, e: 4, r: 2, c: 1}?\n' | b'1/14\n' | b'What is prob of sequence es when two letters picked without replacement from {s: 1, e: 4, r: 2, c: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 9, w: 9}. Give prob of sequence www.\n' | b'7/68\n' | b'Three letters picked without replacement from {g: 9, w: 9}. Give prob of sequence www.\n' | b'7/68\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, x: 7, y: 1}. What is prob of sequence aaa?\n' | b'0\n' | b'Three letters picked without replacement from {a: 2, x: 7, y: 1}. What is prob of sequence aaa?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence sq when two letters picked without replacement from xxxqqqxqxjxxxssqxq.\n' | b'2/51\n' | b'Calculate prob of sequence sq when two letters picked without replacement from xxxqqqxqxjxxxssqxq.\n' | b'2/51\n' | deepmind/math_dataset |
b'Simplify ((((s*s/(s*s**(-1)))/s)/s)**(-15/11)*(s*s**(-2)*s)**(1/13))**(2/11) assuming s is positive.\n' | b'1\n' | b'Simplify ((((s*s/(s*s**(-1)))/s)/s)**(-15/11)*(s*s**(-2)*s)**(1/13))**(2/11) assuming s is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(q) be the second derivative of 0 + 5*q - 7/2*q**2 + 4/3*q**3 - 1/12*q**4. Let m = -6 + 12. Give n(m).\n' | b'5\n' | b'Let n(q) be the second derivative of 0 + 5*q - 7/2*q**2 + 4/3*q**3 - 1/12*q**4. Let m = -6 + 12. Give n(m).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence hzh when three letters picked without replacement from gzizxiihxbbh?\n' | b'1/330\n' | b'What is prob of sequence hzh when three letters picked without replacement from gzizxiihxbbh?\n' | b'1/330\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, f: 5, c: 3, d: 2}. What is prob of sequence ccy?\n' | b'1/110\n' | b'Three letters picked without replacement from {y: 2, f: 5, c: 3, d: 2}. What is prob of sequence ccy?\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (((m/((m/(m/(m*m/m**(11/4)*m)))/m))/(m**(-4)*m))**(2/97))**32 assuming m is positive.\n' | b'm**(304/97)\n' | b'Simplify (((m/((m/(m/(m*m/m**(11/4)*m)))/m))/(m**(-4)*m))**(2/97))**32 assuming m is positive.\n' | b'm**(304/97)\n' | deepmind/math_dataset |
b'Let a be 4/(-10)*(-10)/(-4). Let f(m) = 8*m**3 - m**2 - m. Calculate f(a).\n' | b'-8\n' | b'Let a be 4/(-10)*(-10)/(-4). Let f(m) = 8*m**3 - m**2 - m. Calculate f(a).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (((m*m/(m/((m*m/(m/(m/(m**(9/8)*m))))/m)))/m*m*m**2/m)/(m**(5/7)*m**(6/5)/m))**(-19) assuming m is positive.\n' | b'm**(209/280)\n' | b'Simplify (((m*m/(m/((m*m/(m/(m/(m**(9/8)*m))))/m)))/m*m*m**2/m)/(m**(5/7)*m**(6/5)/m))**(-19) assuming m is positive.\n' | b'm**(209/280)\n' | deepmind/math_dataset |
b'Suppose 6 = 11*c - 10*c, -4*a = -2*c + 40. Let r(p) = 1. Let s(v) = -v + 11. Let i(u) = -r(u) + s(u). Determine i(a).\n' | b'17\n' | b'Suppose 6 = 11*c - 10*c, -4*a = -2*c + 40. Let r(p) = 1. Let s(v) = -v + 11. Let i(u) = -r(u) + s(u). Determine i(a).\n' | b'17\n' | deepmind/math_dataset |
b'Let c(h) be the first derivative of 1367*h**4/4 + 221*h**3/3 - 1299. Find the third derivative of c(y) wrt y.\n' | b'8202\n' | b'Let c(h) be the first derivative of 1367*h**4/4 + 221*h**3/3 - 1299. Find the third derivative of c(y) wrt y.\n' | b'8202\n' | deepmind/math_dataset |
b'Let w(t) = 2*t**2 + t - 2. Let p(g) = 88*g**2 + 3*g + 811. Let k(h) = p(h) - 3*w(h). What is the first derivative of k(j) wrt j?\n' | b'164*j\n' | b'Let w(t) = 2*t**2 + t - 2. Let p(g) = 88*g**2 + 3*g + 811. Let k(h) = p(h) - 3*w(h). What is the first derivative of k(j) wrt j?\n' | b'164*j\n' | deepmind/math_dataset |
b'Let d = 50 - 51. Let b be -2 + 1 - (-66 - d). Solve -2*g + 15 = w, -5*g - 19 + b = 4*w for g.\n' | b'5\n' | b'Let d = 50 - 51. Let b be -2 + 1 - (-66 - d). Solve -2*g + 15 = w, -5*g - 19 + b = 4*w for g.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddddddddd. What is prob of picking 3 d?\n' | b'1\n' | b'Three letters picked without replacement from ddddddddd. What is prob of picking 3 d?\n' | b'1\n' | deepmind/math_dataset |
b'Let g(d) = -d**3 + 5*d**2 + 6*d + 2. Let m be g(6). Suppose 46 + m = b. Suppose 0 = -2*p + 6*p - b. Solve 0 = -t + 2*c - p, -c = -3*t + 2*t - 8 for t.\n' | b'-4\n' | b'Let g(d) = -d**3 + 5*d**2 + 6*d + 2. Let m be g(6). Suppose 46 + m = b. Suppose 0 = -2*p + 6*p - b. Solve 0 = -t + 2*c - p, -c = -3*t + 2*t - 8 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence wy when two letters picked without replacement from {z: 2, i: 1, r: 1, v: 4, w: 1, y: 6}.\n' | b'1/35\n' | b'Calculate prob of sequence wy when two letters picked without replacement from {z: 2, i: 1, r: 1, v: 4, w: 1, y: 6}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (((h/h**(-5/3))/((h**(-1)*h)/h))/((h*h**(2/3))/h)**(-35))/(h*(h*h**(-1/5))/h*(h**(-1/5)/h)/h*(h**0)**(-16/11)) assuming h is positive.\n' | b'h**(142/5)\n' | b'Simplify (((h/h**(-5/3))/((h**(-1)*h)/h))/((h*h**(2/3))/h)**(-35))/(h*(h*h**(-1/5))/h*(h**(-1/5)/h)/h*(h**0)**(-16/11)) assuming h is positive.\n' | b'h**(142/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jnkpnkpkpkpcpn. Give prob of picking 2 k.\n' | b'6/91\n' | b'Two letters picked without replacement from jnkpnkpkpkpcpn. Give prob of picking 2 k.\n' | b'6/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnkkknnnnnknknkk. Give prob of sequence nkk.\n' | b'9/80\n' | b'Three letters picked without replacement from nnkkknnnnnknknkk. Give prob of sequence nkk.\n' | b'9/80\n' | deepmind/math_dataset |
b'Suppose -32*s - 28 = -39*s. Suppose 2*u = u + 15. Solve -s*f = 3*b - 7 - 1, 0 = -3*b + 3*f + u for b.\n' | b'4\n' | b'Suppose -32*s - 28 = -39*s. Suppose 2*u = u + 15. Solve -s*f = 3*b - 7 - 1, 0 = -3*b + 3*f + u for b.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((i**3)**(1/36))**(-2/45) assuming i is positive.\n' | b'i**(-1/270)\n' | b'Simplify ((i**3)**(1/36))**(-2/45) assuming i is positive.\n' | b'i**(-1/270)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kbkkbkbkkknkb. What is prob of sequence bnk?\n' | b'8/429\n' | b'Three letters picked without replacement from kbkkbkbkkknkb. What is prob of sequence bnk?\n' | b'8/429\n' | deepmind/math_dataset |
b'Let x(d) = -4*d**3 + d**2 + 7*d + 1. Let p(l) = 6*l + 53. Let q be p(-9). Let y(t) = -t**3 + t. Let j(r) = q*x(r) + 5*y(r). Determine j(-2).\n' | b'7\n' | b'Let x(d) = -4*d**3 + d**2 + 7*d + 1. Let p(l) = 6*l + 53. Let q be p(-9). Let y(t) = -t**3 + t. Let j(r) = q*x(r) + 5*y(r). Determine j(-2).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (((z*z**(-26/7)*z)/z)/z*(z*z/(z**20*z)*z*z)/z)/((z**(9/7)*z)/(z**(-15)*z)) assuming z is positive.\n' | b'z**(-38)\n' | b'Simplify (((z*z**(-26/7)*z)/z)/z*(z*z/(z**20*z)*z*z)/z)/((z**(9/7)*z)/(z**(-15)*z)) assuming z is positive.\n' | b'z**(-38)\n' | deepmind/math_dataset |
b'Simplify (w*w**0)/((w/(w**(-1)/w)*w)/w)*(w**(-2/3))**(12/11) assuming w is positive.\n' | b'w**(-30/11)\n' | b'Simplify (w*w**0)/((w/(w**(-1)/w)*w)/w)*(w**(-2/3))**(12/11) assuming w is positive.\n' | b'w**(-30/11)\n' | deepmind/math_dataset |
b'Let z(u) = -6*u**2 + 10*u + 31. Let i(n) = 7*n**2 - n - 32. Let q(o) = -2*i(o) - 3*z(o). Calculate q(8).\n' | b'3\n' | b'Let z(u) = -6*u**2 + 10*u + 31. Let i(n) = 7*n**2 - n - 32. Let q(o) = -2*i(o) - 3*z(o). Calculate q(8).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, a: 6, r: 1, i: 11}. Give prob of picking 1 i and 1 n.\n' | b'11/171\n' | b'Two letters picked without replacement from {n: 1, a: 6, r: 1, i: 11}. Give prob of picking 1 i and 1 n.\n' | b'11/171\n' | deepmind/math_dataset |
b'Simplify i**(-4)/(i*i/i**(1/2))*((i*i*i**5*i*i)/i)/(i**(-3)/i)*(i/(i*i**1))**(-4/41)*i**7*i/(i*i**(-5)/i*i) assuming i is positive.\n' | b'i**(1525/82)\n' | b'Simplify i**(-4)/(i*i/i**(1/2))*((i*i*i**5*i*i)/i)/(i**(-3)/i)*(i/(i*i**1))**(-4/41)*i**7*i/(i*i**(-5)/i*i) assuming i is positive.\n' | b'i**(1525/82)\n' | deepmind/math_dataset |
b'Simplify (a*(a*(a*a/a**(-5/7))/a)/a*a)**25 assuming a is positive.\n' | b'a**(650/7)\n' | b'Simplify (a*(a*(a*a/a**(-5/7))/a)/a*a)**25 assuming a is positive.\n' | b'a**(650/7)\n' | deepmind/math_dataset |
b'Simplify (o**(16/7)/o**(-25))**(-2/55) assuming o is positive.\n' | b'o**(-382/385)\n' | b'Simplify (o**(16/7)/o**(-25))**(-2/55) assuming o is positive.\n' | b'o**(-382/385)\n' | deepmind/math_dataset |
b'Simplify ((q**3/q)/q)**5/(q**(-3)/(((q*q/q**(-5/3)*q)/q)/q*q)) assuming q is positive.\n' | b'q**(35/3)\n' | b'Simplify ((q**3/q)/q)**5/(q**(-3)/(((q*q/q**(-5/3)*q)/q)/q*q)) assuming q is positive.\n' | b'q**(35/3)\n' | deepmind/math_dataset |
b'Let v(s) = -s + 1. Suppose 3*f - 7*f - 8 = 0, 2*f - 736 = -4*p. Let u be 4/(-10) + 444/p. Calculate v(u).\n' | b'-1\n' | b'Let v(s) = -s + 1. Suppose 3*f - 7*f - 8 = 0, 2*f - 736 = -4*p. Let u be 4/(-10) + 444/p. Calculate v(u).\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(b) = b**3 - b**2 - b - 3. Let x(d) = -15*d - 132. Let g be x(-9). Determine i(g).\n' | b'12\n' | b'Let i(b) = b**3 - b**2 - b - 3. Let x(d) = -15*d - 132. Let g be x(-9). Determine i(g).\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from {p: 2, u: 7}.\n' | b'1/36\n' | b'Calculate prob of sequence pp when two letters picked without replacement from {p: 2, u: 7}.\n' | b'1/36\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from {g: 6, l: 1, x: 8}?\n' | b'4/15\n' | b'What is prob of sequence xx when two letters picked without replacement from {g: 6, l: 1, x: 8}?\n' | b'4/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooooqroqobqobobroqqo. Give prob of sequence qrq.\n' | b'1/171\n' | b'Three letters picked without replacement from ooooqroqobqobobroqqo. Give prob of sequence qrq.\n' | b'1/171\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, f: 1, x: 4, q: 3, c: 1}. What is prob of picking 2 w, 1 x, and 1 c?\n' | b'2/165\n' | b'Four letters picked without replacement from {w: 2, f: 1, x: 4, q: 3, c: 1}. What is prob of picking 2 w, 1 x, and 1 c?\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose 14 = w + 5*y - 19, 5*w + 2*y - 142 = 0. What is the first derivative of -6*g**4 - 29 - 6*g**4 - w - 5*g**4 wrt g?\n' | b'-68*g**3\n' | b'Suppose 14 = w + 5*y - 19, 5*w + 2*y - 142 = 0. What is the first derivative of -6*g**4 - 29 - 6*g**4 - w - 5*g**4 wrt g?\n' | b'-68*g**3\n' | deepmind/math_dataset |
b'Simplify ((k**(-6))**1)**(17/3) assuming k is positive.\n' | b'k**(-34)\n' | b'Simplify ((k**(-6))**1)**(17/3) assuming k is positive.\n' | b'k**(-34)\n' | deepmind/math_dataset |
b'What is prob of picking 1 e, 2 f, and 1 v when four letters picked without replacement from jefjfvfffjffjffjf?\n' | b'9/476\n' | b'What is prob of picking 1 e, 2 f, and 1 v when four letters picked without replacement from jefjfvfffjffjffjf?\n' | b'9/476\n' | deepmind/math_dataset |
b'Suppose -6*g - 15 = -39. Let x(m) = 5 - 4*m + 4*m - g - 2*m + 5. Calculate x(-7).\n' | b'20\n' | b'Suppose -6*g - 15 = -39. Let x(m) = 5 - 4*m + 4*m - g - 2*m + 5. Calculate x(-7).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (o**0)**(2/35)*o*o**(-8)*o/(o*o*o/o**7)*o*((o/(o/o**(2/5))*o)/o**(5/8))**(8/7) assuming o is positive.\n' | b'o**(-4/35)\n' | b'Simplify (o**0)**(2/35)*o*o**(-8)*o/(o*o*o/o**7)*o*((o/(o/o**(2/5))*o)/o**(5/8))**(8/7) assuming o is positive.\n' | b'o**(-4/35)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hyrzry. Give prob of picking 2 y and 2 r.\n' | b'1/15\n' | b'Four letters picked without replacement from hyrzry. Give prob of picking 2 y and 2 r.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (d**(-7/4)/d*d**(2/19))/(d**(4/5)*d**(-3/2)) assuming d is positive.\n' | b'd**(-739/380)\n' | b'Simplify (d**(-7/4)/d*d**(2/19))/(d**(4/5)*d**(-3/2)) assuming d is positive.\n' | b'd**(-739/380)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xlsx when four letters picked without replacement from lxxxsxlxl.\n' | b'5/252\n' | b'Calculate prob of sequence xlsx when four letters picked without replacement from lxxxsxlxl.\n' | b'5/252\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggmgggdzmzmz. Give prob of sequence mzm.\n' | b'3/286\n' | b'Three letters picked without replacement from gggmgggdzmzmz. Give prob of sequence mzm.\n' | b'3/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 i, and 2 g when four letters picked without replacement from iqqcgqcgcc.\n' | b'2/105\n' | b'Calculate prob of picking 1 c, 1 i, and 2 g when four letters picked without replacement from iqqcgqcgcc.\n' | b'2/105\n' | deepmind/math_dataset |
b'Let n be 2/4 - (-18)/12. Solve -16 = -5*z + 4*b - 8*b, 2*b = -n*z + 6 for z.\n' | b'4\n' | b'Let n be 2/4 - (-18)/12. Solve -16 = -5*z + 4*b - 8*b, 2*b = -n*z + 6 for z.\n' | b'4\n' | deepmind/math_dataset |
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