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 p = 41 + -28. Let y = p + -10. What is the second derivative of -6*f**5 + 2*f + 5*f + y*f - 2*f wrt f?\n' | b'-120*f**3\n' | b'Let p = 41 + -28. Let y = p + -10. What is the second derivative of -6*f**5 + 2*f + 5*f + y*f - 2*f wrt f?\n' | b'-120*f**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from {k: 5, v: 7, j: 8}.\n' | b'21/190\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from {k: 5, v: 7, j: 8}.\n' | b'21/190\n' | deepmind/math_dataset |
b'Let i(j) be the second derivative of 0 + 1/2*j**3 - j**2 + 0*j**4 + 1/60*j**5 - j. Let h(x) be the first derivative of i(x). Differentiate h(z) wrt z.\n' | b'2*z\n' | b'Let i(j) be the second derivative of 0 + 1/2*j**3 - j**2 + 0*j**4 + 1/60*j**5 - j. Let h(x) be the first derivative of i(x). Differentiate h(z) wrt z.\n' | b'2*z\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qsqqssdmdddqddmsss. Give prob of picking 2 s.\n' | b'5/51\n' | b'Two letters picked without replacement from qsqqssdmdddqddmsss. Give prob of picking 2 s.\n' | b'5/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 3, e: 3, j: 1, v: 6}. What is prob of sequence eev?\n' | b'3/143\n' | b'Three letters picked without replacement from {y: 3, e: 3, j: 1, v: 6}. What is prob of sequence eev?\n' | b'3/143\n' | deepmind/math_dataset |
b'Suppose 1 = 5*l - 39. Suppose -t - t = -l. Let x(g) = 3*g**2 + 4*g + 4. Let i be x(-2). Solve 3*c - t*f - 14 = 0, -4*c + 2*f + i = -4 for c.\n' | b'2\n' | b'Suppose 1 = 5*l - 39. Suppose -t - t = -l. Let x(g) = 3*g**2 + 4*g + 4. Let i be x(-2). Solve 3*c - t*f - 14 = 0, -4*c + 2*f + i = -4 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (b**(1/4))**(-9/10)*(b*b**3)/(b*b*(b*b*b**19)/b*b) assuming b is positive.\n' | b'b**(-769/40)\n' | b'Simplify (b**(1/4))**(-9/10)*(b*b**3)/(b*b*(b*b*b**19)/b*b) assuming b is positive.\n' | b'b**(-769/40)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vflevlvv. Give prob of picking 1 e and 1 v.\n' | b'1/7\n' | b'Two letters picked without replacement from vflevlvv. Give prob of picking 1 e and 1 v.\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify q**(-3/4)/((((q**(1/13)/q)/q*q)/q)/q)*q**(-3/8)*(q/(q/q**(-4/3)))/q assuming q is positive.\n' | b'q**(-167/312)\n' | b'Simplify q**(-3/4)/((((q**(1/13)/q)/q*q)/q)/q)*q**(-3/8)*(q/(q/q**(-4/3)))/q assuming q is positive.\n' | b'q**(-167/312)\n' | deepmind/math_dataset |
b'Suppose 30*q - 179 - 121 = 0. Solve 0 = -2*s - q, 0 = -5*d - 5*s - 15 - 5 for d.\n' | b'1\n' | b'Suppose 30*q - 179 - 121 = 0. Solve 0 = -2*s - q, 0 = -5*d - 5*s - 15 - 5 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (d**2*d)**(18/11)/(d**3*d*(d**(2/9)/d)/d)*(d/(d*d**(-1)/d)*d)/((d*d*d**(-1/3)*d*d)/d)*(d**(-1))**(8/7) assuming d is positive.\n' | b'd**(1301/693)\n' | b'Simplify (d**2*d)**(18/11)/(d**3*d*(d**(2/9)/d)/d)*(d/(d*d**(-1)/d)*d)/((d*d*d**(-1/3)*d*d)/d)*(d**(-1))**(8/7) assuming d is positive.\n' | b'd**(1301/693)\n' | deepmind/math_dataset |
b'Simplify (((((f*f**(-4)/f)/f)**(-33))**(-4/9))**(-5/21))**(-29) assuming f is positive.\n' | b'f**(-31900/63)\n' | b'Simplify (((((f*f**(-4)/f)/f)**(-33))**(-4/9))**(-5/21))**(-29) assuming f is positive.\n' | b'f**(-31900/63)\n' | deepmind/math_dataset |
b'Let i(a) = -6*a**3 - 4*a**2 + 257*a + 3. Let c(j) = 7*j**3 + 6*j**2 - 258*j - 4. Let h(k) = -3*c(k) - 4*i(k). What is the second derivative of h(w) wrt w?\n' | b'18*w - 4\n' | b'Let i(a) = -6*a**3 - 4*a**2 + 257*a + 3. Let c(j) = 7*j**3 + 6*j**2 - 258*j - 4. Let h(k) = -3*c(k) - 4*i(k). What is the second derivative of h(w) wrt w?\n' | b'18*w - 4\n' | deepmind/math_dataset |
b'Let g(k) = -k**3 - k**2 + k + 3. Let n be g(0). Let z(u) = n - 4 - 2*u + 5 - 3. Calculate z(2).\n' | b'-3\n' | b'Let g(k) = -k**3 - k**2 + k + 3. Let n be g(0). Let z(u) = n - 4 - 2*u + 5 - 3. Calculate z(2).\n' | b'-3\n' | deepmind/math_dataset |
b'Let s(f) = f + 3. Let l(m) = 3*m - 17. Let u be l(-20). Let h = -77 - u. Suppose h = t - 0*t - 4. Determine s(t).\n' | b'7\n' | b'Let s(f) = f + 3. Let l(m) = 3*m - 17. Let u be l(-20). Let h = -77 - u. Suppose h = t - 0*t - 4. Determine s(t).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (f**(-3/8))**(-2/3)*f**(-2/19)/(f**15/f) assuming f is positive.\n' | b'f**(-1053/76)\n' | b'Simplify (f**(-3/8))**(-2/3)*f**(-2/19)/(f**15/f) assuming f is positive.\n' | b'f**(-1053/76)\n' | deepmind/math_dataset |
b'What is prob of picking 3 p when three letters picked without replacement from pppp?\n' | b'1\n' | b'What is prob of picking 3 p when three letters picked without replacement from pppp?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence cccl when four letters picked without replacement from cccclccllllllcll.\n' | b'9/208\n' | b'Calculate prob of sequence cccl when four letters picked without replacement from cccclccllllllcll.\n' | b'9/208\n' | deepmind/math_dataset |
b'Let g(m) = -m**2 + m. Let q be g(1). Let j = -3 - -5. Let x = q + j. Solve 3*i + x*z = 18, 3*i + 2*i - 11 = 3*z for i.\n' | b'4\n' | b'Let g(m) = -m**2 + m. Let q be g(1). Let j = -3 - -5. Let x = q + j. Solve 3*i + x*z = 18, 3*i + 2*i - 11 = 3*z for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let a = 484 + -480. Solve 2*x = -a*b + 16, 2*x - 5*x - 4*b = -18 for x.\n' | b'2\n' | b'Let a = 484 + -480. Solve 2*x = -a*b + 16, 2*x - 5*x - 4*b = -18 for x.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence innn when four letters picked without replacement from {i: 2, n: 6}.\n' | b'1/7\n' | b'Calculate prob of sequence innn when four letters picked without replacement from {i: 2, n: 6}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence jgj when three letters picked without replacement from {f: 2, j: 6, m: 3, g: 3, n: 2}.\n' | b'3/112\n' | b'Calculate prob of sequence jgj when three letters picked without replacement from {f: 2, j: 6, m: 3, g: 3, n: 2}.\n' | b'3/112\n' | deepmind/math_dataset |
b'What is prob of sequence kxku when four letters picked without replacement from {u: 1, x: 2, k: 2, g: 4, v: 1}?\n' | b'1/1260\n' | b'What is prob of sequence kxku when four letters picked without replacement from {u: 1, x: 2, k: 2, g: 4, v: 1}?\n' | b'1/1260\n' | deepmind/math_dataset |
b'Let k be 10 - (-2)/6*-1*12. Let g(m) = m**3 - 7*m**2 + 6*m - 8. Calculate g(k).\n' | b'-8\n' | b'Let k be 10 - (-2)/6*-1*12. Let g(m) = m**3 - 7*m**2 + 6*m - 8. Calculate g(k).\n' | b'-8\n' | deepmind/math_dataset |
b'Let y(q) = -1. Let v(z) = -z. Let m(b) = -3*v(b) + 6*y(b). Let i be (52/6)/(2/(-6)). Let f = -22 - i. Calculate m(f).\n' | b'6\n' | b'Let y(q) = -1. Let v(z) = -z. Let m(b) = -3*v(b) + 6*y(b). Let i be (52/6)/(2/(-6)). Let f = -22 - i. Calculate m(f).\n' | b'6\n' | deepmind/math_dataset |
b'Let r = 0 + 2. Suppose 3*a = -r*a. Suppose a = -4*x + 5*x - 1. Let f(n) = 5*n. Determine f(x).\n' | b'5\n' | b'Let r = 0 + 2. Suppose 3*a = -r*a. Suppose a = -4*x + 5*x - 1. Let f(n) = 5*n. Determine f(x).\n' | b'5\n' | deepmind/math_dataset |
b'Let n(v) = v**3 + 3*v**2 + v - 1. Let x be n(-4). Let m = -22 - x. Let l(s) = 10*s**3 + 7*s**2 - s**2 - 5*s**2. What is l(m)?\n' | b'-9\n' | b'Let n(v) = v**3 + 3*v**2 + v - 1. Let x be n(-4). Let m = -22 - x. Let l(s) = 10*s**3 + 7*s**2 - s**2 - 5*s**2. What is l(m)?\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 3 k when four letters picked without replacement from kkkkkkwwkkkk.\n' | b'16/33\n' | b'Calculate prob of picking 1 w and 3 k when four letters picked without replacement from kkkkkkwwkkkk.\n' | b'16/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggggggggfgggggggg. Give prob of sequence fgg.\n' | b'1/18\n' | b'Three letters picked without replacement from gggggggggfgggggggg. Give prob of sequence fgg.\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose 3*a - 9 + 0 = 0. Let r(c) = 9*c - 1. Let p be r(a). Suppose 3*h = -0*h + 6. Solve m - 5 = 3*u, 0*u + 5*m = -h*u - p for u.\n' | b'-3\n' | b'Suppose 3*a - 9 + 0 = 0. Let r(c) = 9*c - 1. Let p be r(a). Suppose 3*h = -0*h + 6. Solve m - 5 = 3*u, 0*u + 5*m = -h*u - p for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kyekmykkk. Give prob of sequence me.\n' | b'1/72\n' | b'Two letters picked without replacement from kyekmykkk. Give prob of sequence me.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let j be 0 + -1 - (1 - 2). Suppose -4*z + 5*z - 3 = j. Solve -o - z = -5*r - 12, 3*r = -5*o - 11 for r.\n' | b'-2\n' | b'Let j be 0 + -1 - (1 - 2). Suppose -4*z + 5*z - 3 = j. Solve -o - z = -5*r - 12, 3*r = -5*o - 11 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 27 = 3*t + 15. Solve -25 = -3*z + z + 5*d, t*z - d = 23 for z.\n' | b'5\n' | b'Suppose 27 = 3*t + 15. Solve -25 = -3*z + z + 5*d, t*z - d = 23 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Let p = -25 + 28. Let z(v) = 76*v - 32. Suppose 1802*x - 192 = 1808*x. Let h(s) = 7*s - 3. Let n(u) = p*z(u) + x*h(u). Determine n(-6).\n' | b'-24\n' | b'Let p = -25 + 28. Let z(v) = 76*v - 32. Suppose 1802*x - 192 = 1808*x. Let h(s) = 7*s - 3. Let n(u) = p*z(u) + x*h(u). Determine n(-6).\n' | b'-24\n' | deepmind/math_dataset |
b'Let a(v) be the third derivative of 1041*v**7/70 - v**5/60 - 1643*v**4/24 - 4*v**2 - 48*v. Find the third derivative of a(b) wrt b.\n' | b'74952*b\n' | b'Let a(v) be the third derivative of 1041*v**7/70 - v**5/60 - 1643*v**4/24 - 4*v**2 - 48*v. Find the third derivative of a(b) wrt b.\n' | b'74952*b\n' | deepmind/math_dataset |
b'Let b = 1852 + -1010. Let l(z) = 2 + 0*z**3 - b*z**2 - z + 839*z**2 + 2*z**3. Calculate l(2).\n' | b'4\n' | b'Let b = 1852 + -1010. Let l(z) = 2 + 0*z**3 - b*z**2 - z + 839*z**2 + 2*z**3. Calculate l(2).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence qwqw when four letters picked without replacement from qwqw?\n' | b'1/6\n' | b'What is prob of sequence qwqw when four letters picked without replacement from qwqw?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lallallaaallllaaalaa. What is prob of picking 2 a and 1 l?\n' | b'15/38\n' | b'Three letters picked without replacement from lallallaaallllaaalaa. What is prob of picking 2 a and 1 l?\n' | b'15/38\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeececceceeeee. What is prob of sequence cc?\n' | b'6/91\n' | b'Two letters picked without replacement from eeececceceeeee. What is prob of sequence cc?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let i(y) = -35 + 56 + 11*y - 7 - 39. Determine i(3).\n' | b'8\n' | b'Let i(y) = -35 + 56 + 11*y - 7 - 39. Determine i(3).\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rggrgxssszge. Give prob of sequence srze.\n' | b'1/1980\n' | b'Four letters picked without replacement from rggrgxssszge. Give prob of sequence srze.\n' | b'1/1980\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {b: 3, n: 5, a: 1, d: 1, s: 5}.\n' | b'5/21\n' | b'Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {b: 3, n: 5, a: 1, d: 1, s: 5}.\n' | b'5/21\n' | deepmind/math_dataset |
b'Let c be ((-12)/6 - (2 + -3))*-27. Let r be (-1*18/c)/((-2)/6). Differentiate -14487*g + 16*g**r + 14487*g + 34 with respect to g.\n' | b'32*g\n' | b'Let c be ((-12)/6 - (2 + -3))*-27. Let r be (-1*18/c)/((-2)/6). Differentiate -14487*g + 16*g**r + 14487*g + 34 with respect to g.\n' | b'32*g\n' | deepmind/math_dataset |
b'Calculate prob of sequence pfi when three letters picked without replacement from dppidpiifp.\n' | b'1/60\n' | b'Calculate prob of sequence pfi when three letters picked without replacement from dppidpiifp.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((d**(-7))**1/(d/(d**(-11/2)/d)*d*d*d/(d/((d*d**6)/d*d)*d)))**(1/13) assuming d is positive.\n' | b'd**(-45/26)\n' | b'Simplify ((d**(-7))**1/(d/(d**(-11/2)/d)*d*d*d/(d/((d*d**6)/d*d)*d)))**(1/13) assuming d is positive.\n' | b'd**(-45/26)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 15, f: 5}. Give prob of sequence iiii.\n' | b'91/323\n' | b'Four letters picked without replacement from {i: 15, f: 5}. Give prob of sequence iiii.\n' | b'91/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjooojokeoeppopop. What is prob of sequence ekp?\n' | b'1/510\n' | b'Three letters picked without replacement from jjooojokeoeppopop. What is prob of sequence ekp?\n' | b'1/510\n' | deepmind/math_dataset |
b'Let h(a) = 3*a + 4. Let y be h(-7). Let t = -17 - y. Solve -5*w + 4*v - 8 + 1 = t, -5*w - 2*v = 19 for w.\n' | b'-3\n' | b'Let h(a) = 3*a + 4. Let y be h(-7). Let t = -17 - y. Solve -5*w + 4*v - 8 + 1 = t, -5*w - 2*v = 19 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (o**7)**(-13/3) assuming o is positive.\n' | b'o**(-91/3)\n' | b'Simplify (o**7)**(-13/3) assuming o is positive.\n' | b'o**(-91/3)\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-3/4))**(-1/41))**(-9/10) assuming n is positive.\n' | b'n**(9/1640)\n' | b'Simplify ((n*n**(-3/4))**(-1/41))**(-9/10) assuming n is positive.\n' | b'n**(9/1640)\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from {a: 1, z: 3, s: 2, t: 10}.\n' | b'3/8\n' | b'Calculate prob of sequence tt when two letters picked without replacement from {a: 1, z: 3, s: 2, t: 10}.\n' | b'3/8\n' | deepmind/math_dataset |
b'Simplify (((y**8)**3)**(8/7))**(3/4) assuming y is positive.\n' | b'y**(144/7)\n' | b'Simplify (((y**8)**3)**(8/7))**(3/4) assuming y is positive.\n' | b'y**(144/7)\n' | deepmind/math_dataset |
b'Let s(n) = 2*n**3 + n**2 + n + 80. Let w be s(0). Let p(z) = -39*z + z**2 - 1 - 42*z + 6 + w*z. Calculate p(4).\n' | b'17\n' | b'Let s(n) = 2*n**3 + n**2 + n + 80. Let w be s(0). Let p(z) = -39*z + z**2 - 1 - 42*z + 6 + w*z. Calculate p(4).\n' | b'17\n' | deepmind/math_dataset |
b'Let v(r) = -117*r**2 + 25*r. Let w(f) = 115*f**2 - 23*f. Let t(d) = 5*v(d) + 6*w(d). What is the second derivative of t(j) wrt j?\n' | b'210\n' | b'Let v(r) = -117*r**2 + 25*r. Let w(f) = 115*f**2 - 23*f. Let t(d) = 5*v(d) + 6*w(d). What is the second derivative of t(j) wrt j?\n' | b'210\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, x: 2}.\n' | b'1/5\n' | b'Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, x: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -2*b + 18 = -2*y, 3*y + 0*b - 13 = -5*b. Let c(n) = n**3 + 4*n**2 + 4*n. What is c(y)?\n' | b'-16\n' | b'Suppose -2*b + 18 = -2*y, 3*y + 0*b - 13 = -5*b. Let c(n) = n**3 + 4*n**2 + 4*n. What is c(y)?\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-1/3))/((b**(5/6)/b)/b))**(-2/111)*(b**(-1/3)*b*b)**(1/13)/(b**(4/3)/(b*b/(b/(b**5*b)))) assuming b is positive.\n' | b'b**(24943/4329)\n' | b'Simplify ((b*b**(-1/3))/((b**(5/6)/b)/b))**(-2/111)*(b**(-1/3)*b*b)**(1/13)/(b**(4/3)/(b*b/(b/(b**5*b)))) assuming b is positive.\n' | b'b**(24943/4329)\n' | deepmind/math_dataset |
b'Simplify ((z/(z/z**(-1/5)))**(2/37))**(1/2)*(z*z**(-2)*z)**(-2/55)*z**0*z**2*z assuming z is positive.\n' | b'z**(554/185)\n' | b'Simplify ((z/(z/z**(-1/5)))**(2/37))**(1/2)*(z*z**(-2)*z)**(-2/55)*z**0*z**2*z assuming z is positive.\n' | b'z**(554/185)\n' | deepmind/math_dataset |
b'Let v(c) = -c**2 - 12*c + 4. Let i(f) = -f**2 - 7*f + 2. Let l(m) = 5*i(m) - 3*v(m). Suppose -4 = -k, 0 = 2*o - 2*k + 5 - 3. Give l(o).\n' | b'-17\n' | b'Let v(c) = -c**2 - 12*c + 4. Let i(f) = -f**2 - 7*f + 2. Let l(m) = 5*i(m) - 3*v(m). Suppose -4 = -k, 0 = 2*o - 2*k + 5 - 3. Give l(o).\n' | b'-17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wmeefefmmeeemwemeefw. What is prob of picking 1 m and 3 f?\n' | b'1/969\n' | b'Four letters picked without replacement from wmeefefmmeeemwemeefw. What is prob of picking 1 m and 3 f?\n' | b'1/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 7, n: 1, t: 5, r: 1, i: 1}. Give prob of picking 1 t, 1 n, and 1 i.\n' | b'1/91\n' | b'Three letters picked without replacement from {u: 7, n: 1, t: 5, r: 1, i: 1}. Give prob of picking 1 t, 1 n, and 1 i.\n' | b'1/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjwjuwjuujjjwuwju. What is prob of sequence jww?\n' | b'2/85\n' | b'Three letters picked without replacement from jjwjuwjuujjjwuwju. What is prob of sequence jww?\n' | b'2/85\n' | deepmind/math_dataset |
b'Simplify (n/(((n**(-26/5)*n)/n*n*n)/n))**(-1/34) assuming n is positive.\n' | b'n**(-13/85)\n' | b'Simplify (n/(((n**(-26/5)*n)/n*n*n)/n))**(-1/34) assuming n is positive.\n' | b'n**(-13/85)\n' | deepmind/math_dataset |
b'Simplify (h*h/h**(2/19)*h)/h**19*h**(-1)/((h/(h/(h*h*h/((h/(h*(h/(h/(((h/((h/(h**(2/23)*h))/h*h))/h)/h)))/h))/h))))/h) assuming h is positive.\n' | b'h**(-7950/437)\n' | b'Simplify (h*h/h**(2/19)*h)/h**19*h**(-1)/((h/(h/(h*h*h/((h/(h*(h/(h/(((h/((h/(h**(2/23)*h))/h*h))/h)/h)))/h))/h))))/h) assuming h is positive.\n' | b'h**(-7950/437)\n' | deepmind/math_dataset |
b'Let z(f) = -f**2 + 7*f + 4. Let c be z(5). Suppose 0 = -g + 34 - 29. Solve 5*n = v + 14, g*n - c = -4 for v.\n' | b'-4\n' | b'Let z(f) = -f**2 + 7*f + 4. Let c be z(5). Suppose 0 = -g + 34 - 29. Solve 5*n = v + 14, g*n - c = -4 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, m: 3, u: 2, o: 2, k: 2, n: 2}. What is prob of sequence uknk?\n' | b'1/1485\n' | b'Four letters picked without replacement from {q: 1, m: 3, u: 2, o: 2, k: 2, n: 2}. What is prob of sequence uknk?\n' | b'1/1485\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 3, t: 3, w: 2, o: 2, e: 3, x: 1}. Give prob of picking 2 o and 2 e.\n' | b'3/1001\n' | b'Four letters picked without replacement from {a: 3, t: 3, w: 2, o: 2, e: 3, x: 1}. Give prob of picking 2 o and 2 e.\n' | b'3/1001\n' | deepmind/math_dataset |
b'What is prob of picking 2 i when two letters picked without replacement from xii?\n' | b'1/3\n' | b'What is prob of picking 2 i when two letters picked without replacement from xii?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (f**27*f**(-27))**18 assuming f is positive.\n' | b'1\n' | b'Simplify (f**27*f**(-27))**18 assuming f is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 5, c: 7, h: 4}. What is prob of picking 3 h?\n' | b'1/140\n' | b'Three letters picked without replacement from {j: 5, c: 7, h: 4}. What is prob of picking 3 h?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let p(d) = d**2 - 2*d - 1. Let g be p(-1). Suppose -g*u + 5*u = 6. Solve -5*a + u = -q - 22, -q - 2*a = -11 for q.\n' | b'1\n' | b'Let p(d) = d**2 - 2*d - 1. Let g be p(-1). Suppose -g*u + 5*u = 6. Solve -5*a + u = -q - 22, -q - 2*a = -11 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ww when two letters picked without replacement from bbw.\n' | b'0\n' | b'Calculate prob of sequence ww when two letters picked without replacement from bbw.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 4, i: 2}. What is prob of sequence ixx?\n' | b'1/5\n' | b'Three letters picked without replacement from {x: 4, i: 2}. What is prob of sequence ixx?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of sequence mq when two letters picked without replacement from qdfsfdqfmrqq?\n' | b'1/33\n' | b'What is prob of sequence mq when two letters picked without replacement from qdfsfdqfmrqq?\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of picking 2 b when two letters picked without replacement from lgljksbb?\n' | b'1/28\n' | b'What is prob of picking 2 b when two letters picked without replacement from lgljksbb?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((i*(i/((i*i*(i**(-1/2)*i)/i*i*i)/i*i*i))/i)/(i/i**(2/9))*(i**(2/7)/i)**45)**(-22) assuming i is positive.\n' | b'i**(50479/63)\n' | b'Simplify ((i*(i/((i*i*(i**(-1/2)*i)/i*i*i)/i*i*i))/i)/(i/i**(2/9))*(i**(2/7)/i)**45)**(-22) assuming i is positive.\n' | b'i**(50479/63)\n' | deepmind/math_dataset |
b'Let x(v) = v**2 - 32*v - 33. Let g be x(39). Find the first derivative of -539 + 289 + 8*m**2 + 156 + g wrt m.\n' | b'16*m\n' | b'Let x(v) = v**2 - 32*v - 33. Let g be x(39). Find the first derivative of -539 + 289 + 8*m**2 + 156 + g wrt m.\n' | b'16*m\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hxhhhxghhhxjhhxhgghx. Give prob of sequence xjhg.\n' | b'11/7752\n' | b'Four letters picked without replacement from hxhhhxghhhxjhhxhgghx. Give prob of sequence xjhg.\n' | b'11/7752\n' | deepmind/math_dataset |
b'Simplify d**1*d**(-9) assuming d is positive.\n' | b'd**(-8)\n' | b'Simplify d**1*d**(-9) assuming d is positive.\n' | b'd**(-8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, f: 3, w: 7, e: 3, b: 2}. What is prob of picking 1 f and 1 y?\n' | b'1/17\n' | b'Two letters picked without replacement from {y: 3, f: 3, w: 7, e: 3, b: 2}. What is prob of picking 1 f and 1 y?\n' | b'1/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ychthhytpphtpyyyyhy. Give prob of sequence hyc.\n' | b'35/5814\n' | b'Three letters picked without replacement from ychthhytpphtpyyyyhy. Give prob of sequence hyc.\n' | b'35/5814\n' | deepmind/math_dataset |
b'Let y be 2 + 0/(3 + -4). Suppose -y*i = -i. Solve 4*a = u - i*a - 20, a = -5 for u.\n' | b'0\n' | b'Let y be 2 + 0/(3 + -4). Suppose -y*i = -i. Solve 4*a = u - i*a - 20, a = -5 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((((t*t/(t/((t/t**(-1/19))/t)))/t)/t)**27/(t*(t/(t/(t*(t*t**(-14)/t*t*t)/t))*t)/t)**1)**(-35) assuming t is positive.\n' | b't**(9695/19)\n' | b'Simplify ((((t*t/(t/((t/t**(-1/19))/t)))/t)/t)**27/(t*(t/(t/(t*(t*t**(-14)/t*t*t)/t))*t)/t)**1)**(-35) assuming t is positive.\n' | b't**(9695/19)\n' | deepmind/math_dataset |
b'Simplify (o/(o/((o*o*o**(1/5)*o*o)/o))*o)/o**(-7/5) assuming o is positive.\n' | b'o**(28/5)\n' | b'Simplify (o/(o/((o*o*o**(1/5)*o*o)/o))*o)/o**(-7/5) assuming o is positive.\n' | b'o**(28/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, g: 1, t: 4, p: 2}. What is prob of sequence tap?\n' | b'2/63\n' | b'Three letters picked without replacement from {a: 2, g: 1, t: 4, p: 2}. What is prob of sequence tap?\n' | b'2/63\n' | deepmind/math_dataset |
b'Let v(j) = j**3 + 3*j**2 + 2*j + 1. Let a = 79 + -83. Give v(a).\n' | b'-23\n' | b'Let v(j) = j**3 + 3*j**2 + 2*j + 1. Let a = 79 + -83. Give v(a).\n' | b'-23\n' | deepmind/math_dataset |
b'Let g(i) be the first derivative of -1/3*i**3 - 4*i**2 - 2*i - 7. Suppose 3*k - 8 = -k, -5*k = z - 4. Give g(z).\n' | b'10\n' | b'Let g(i) be the first derivative of -1/3*i**3 - 4*i**2 - 2*i - 7. Suppose 3*k - 8 = -k, -5*k = z - 4. Give g(z).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (j**(-2))**(-33)/(j**(-1))**24 assuming j is positive.\n' | b'j**90\n' | b'Simplify (j**(-2))**(-33)/(j**(-1))**24 assuming j is positive.\n' | b'j**90\n' | deepmind/math_dataset |
b'Let o(u) = 36*u**3 + 3*u**2 + 2*u - 188. Let m(w) = -72*w**3 - 5*w**2 - 3*w + 375. Let y(k) = 3*m(k) + 5*o(k). Differentiate y(g) wrt g.\n' | b'-108*g**2 + 1\n' | b'Let o(u) = 36*u**3 + 3*u**2 + 2*u - 188. Let m(w) = -72*w**3 - 5*w**2 - 3*w + 375. Let y(k) = 3*m(k) + 5*o(k). Differentiate y(g) wrt g.\n' | b'-108*g**2 + 1\n' | deepmind/math_dataset |
b'Let o(b) = -29*b - 2 - 22*b + 47*b - 2*b**2. Determine o(-2).\n' | b'-2\n' | b'Let o(b) = -29*b - 2 - 22*b + 47*b - 2*b**2. Determine o(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((c**18*c/c**21*c)/((c*c*c**(-5/6)*c*c)/c*c/c**(-5)))**(-1/9) assuming c is positive.\n' | b'c**(55/54)\n' | b'Simplify ((c**18*c/c**21*c)/((c*c*c**(-5/6)*c*c)/c*c/c**(-5)))**(-1/9) assuming c is positive.\n' | b'c**(55/54)\n' | deepmind/math_dataset |
b'Simplify ((b**2/b)/(b/(b/b**(-13))))**6/(((b**(-4)*b)/(b*b**(-1/4)))/((b/b**8*b)/b*b*b**(-4))) assuming b is positive.\n' | b'b**(311/4)\n' | b'Simplify ((b**2/b)/(b/(b/b**(-13))))**6/(((b**(-4)*b)/(b*b**(-1/4)))/((b/b**8*b)/b*b*b**(-4))) assuming b is positive.\n' | b'b**(311/4)\n' | deepmind/math_dataset |
b'Let v be (1/2)/((-6)/12). Let l be (-7)/v - (0 + 1). Solve -5*d + n + l = 0, 3*d - d - n - 3 = 0 for d.\n' | b'1\n' | b'Let v be (1/2)/((-6)/12). Let l be (-7)/v - (0 + 1). Solve -5*d + n + l = 0, 3*d - d - n - 3 = 0 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let y(f) = -5*f - 177. Let l be y(-36). Solve -2*d - 3*d = l*r + 9, -4*d = r + 10 for r.\n' | b'2\n' | b'Let y(f) = -5*f - 177. Let l be y(-36). Solve -2*d - 3*d = l*r + 9, -4*d = r + 10 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 1 z when three letters picked without replacement from {z: 1, j: 3, f: 4}.\n' | b'3/56\n' | b'Calculate prob of picking 2 j and 1 z when three letters picked without replacement from {z: 1, j: 3, f: 4}.\n' | b'3/56\n' | deepmind/math_dataset |
b'Suppose 0 = -0*g + 3*g. Suppose -2*r + 1 = 3*m, 2*r + g + 2 = -2*m. Let k(b) be the second derivative of b**3/3 + b**2/2 + b. What is k(m)?\n' | b'7\n' | b'Suppose 0 = -0*g + 3*g. Suppose -2*r + 1 = 3*m, 2*r + g + 2 = -2*m. Let k(b) be the second derivative of b**3/3 + b**2/2 + b. What is k(m)?\n' | b'7\n' | deepmind/math_dataset |
b'Let v(z) be the first derivative of 0*z - 1 + 0*z**3 - 5*z**2 - 11/2*z**4. Find the second derivative of v(p) wrt p.\n' | b'-132*p\n' | b'Let v(z) be the first derivative of 0*z - 1 + 0*z**3 - 5*z**2 - 11/2*z**4. Find the second derivative of v(p) wrt p.\n' | b'-132*p\n' | deepmind/math_dataset |
b'Calculate prob of sequence ep when two letters picked without replacement from {p: 2, d: 4, k: 3, v: 1, e: 5, t: 5}.\n' | b'1/38\n' | b'Calculate prob of sequence ep when two letters picked without replacement from {p: 2, d: 4, k: 3, v: 1, e: 5, t: 5}.\n' | b'1/38\n' | deepmind/math_dataset |
b'Let g(m) = m**4 - 5*m**3 - 5*m**2 + 5*m - 3. Suppose 7*p = 5*p - 10. Let k(d) = 2*d + 0*d - d - d**2 - d**3. Let i(w) = p*k(w) + g(w). Differentiate i(s) wrt s.\n' | b'4*s**3\n' | b'Let g(m) = m**4 - 5*m**3 - 5*m**2 + 5*m - 3. Suppose 7*p = 5*p - 10. Let k(d) = 2*d + 0*d - d - d**2 - d**3. Let i(w) = p*k(w) + g(w). Differentiate i(s) wrt s.\n' | b'4*s**3\n' | deepmind/math_dataset |
b'Let v = 1369 + -1366. Solve 0 = -i - v*z + 9, 0 = -i + 5*z - 4*z - 3 for i.\n' | b'0\n' | b'Let v = 1369 + -1366. Solve 0 = -i - v*z + 9, 0 = -i + 5*z - 4*z - 3 for i.\n' | b'0\n' | deepmind/math_dataset |
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