question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Calculate prob of sequence vved when four letters picked without replacement from {v: 4, t: 4, d: 1, g: 3, e: 1}.\n' | b'1/1430\n' | b'Calculate prob of sequence vved when four letters picked without replacement from {v: 4, t: 4, d: 1, g: 3, e: 1}.\n' | b'1/1430\n' | deepmind/math_dataset |
b'Let f(s) = 8*s - 23*s + 14*s. Give f(-7).\n' | b'7\n' | b'Let f(s) = 8*s - 23*s + 14*s. Give f(-7).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (o**(-5/7)*o**(-1/2))/(o/(o*o**(-3)))**48 assuming o is positive.\n' | b'o**(-2033/14)\n' | b'Simplify (o**(-5/7)*o**(-1/2))/(o/(o*o**(-3)))**48 assuming o is positive.\n' | b'o**(-2033/14)\n' | deepmind/math_dataset |
b'Simplify (l*l/(l**(-2/5)*l))**(-6/31)*(l/(l*l*l**(-2/13)*l))/l**(1/7) assuming l is positive.\n' | b'l**(-31877/14105)\n' | b'Simplify (l*l/(l**(-2/5)*l))**(-6/31)*(l/(l*l*l**(-2/13)*l))/l**(1/7) assuming l is positive.\n' | b'l**(-31877/14105)\n' | deepmind/math_dataset |
b'Let s be 1 - -4 - (-9 - -14). Let b(i) = -5*i**3 - 3 + i + 1 + s*i + 4*i**3 + i**2. What is b(3)?\n' | b'-17\n' | b'Let s be 1 - -4 - (-9 - -14). Let b(i) = -5*i**3 - 3 + i + 1 + s*i + 4*i**3 + i**2. What is b(3)?\n' | b'-17\n' | deepmind/math_dataset |
b'What is prob of sequence fhh when three letters picked without replacement from hrlrgrfgfffflhh?\n' | b'1/91\n' | b'What is prob of sequence fhh when three letters picked without replacement from hrlrgrfgfffflhh?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let a be 4/(12/(-9)) - -9. Let f = 4 - a. Let h(b) be the third derivative of -b**5/60 + b**4/8 + b**3/3 - 2*b**2. Calculate h(f).\n' | b'-8\n' | b'Let a be 4/(12/(-9)) - -9. Let f = 4 - a. Let h(b) be the third derivative of -b**5/60 + b**4/8 + b**3/3 - 2*b**2. Calculate h(f).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify ((u*u**(-2/13)/u)**39)**(5/12)/((u*u/u**(-1/5)*u**(-2/11)/u)/(u*u/(u**1*u))**(-3/38)) assuming u is positive.\n' | b'u**(-387/110)\n' | b'Simplify ((u*u**(-2/13)/u)**39)**(5/12)/((u*u/u**(-1/5)*u**(-2/11)/u)/(u*u/(u**1*u))**(-3/38)) assuming u is positive.\n' | b'u**(-387/110)\n' | deepmind/math_dataset |
b'Let y(l) = -89836*l**4 + 29*l**3 - 125*l - 96. Let f(w) = 6417*w**4 - 2*w**3 + 9*w + 7. Let q(s) = -29*f(s) - 2*y(s). Find the second derivative of q(p) wrt p.\n' | b'-77052*p**2\n' | b'Let y(l) = -89836*l**4 + 29*l**3 - 125*l - 96. Let f(w) = 6417*w**4 - 2*w**3 + 9*w + 7. Let q(s) = -29*f(s) - 2*y(s). Find the second derivative of q(p) wrt p.\n' | b'-77052*p**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kikkqkkkqki. What is prob of picking 1 q and 1 i?\n' | b'4/55\n' | b'Two letters picked without replacement from kikkqkkkqki. What is prob of picking 1 q and 1 i?\n' | b'4/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 2, p: 4, x: 5}. Give prob of picking 1 b and 2 p.\n' | b'4/55\n' | b'Three letters picked without replacement from {b: 2, p: 4, x: 5}. Give prob of picking 1 b and 2 p.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let l(u) = u**2 - 7*u + 6. Let g be 693/210 + 3 + 33/(-10). Give l(g).\n' | b'-6\n' | b'Let l(u) = u**2 - 7*u + 6. Let g be 693/210 + 3 + 33/(-10). Give l(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Let o(t) = 9*t**2 + 35*t + 24*t - 8*t**2 + 32*t + 2 - 85*t. Calculate o(0).\n' | b'2\n' | b'Let o(t) = 9*t**2 + 35*t + 24*t - 8*t**2 + 32*t + 2 - 85*t. Calculate o(0).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*w + 2*v + 25 = 3*w, w + 4*v - 5 = 0. Let f(o) = o**2 + o + 2. Let m(r) = r**2 + 3. Let a(h) = w*f(h) - 4*m(h). Give a(-5).\n' | b'-2\n' | b'Suppose -2*w + 2*v + 25 = 3*w, w + 4*v - 5 = 0. Let f(o) = o**2 + o + 2. Let m(r) = r**2 + 3. Let a(h) = w*f(h) - 4*m(h). Give a(-5).\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 9, m: 2, n: 1, d: 4}. Give prob of sequence nttd.\n' | b'3/455\n' | b'Four letters picked without replacement from {t: 9, m: 2, n: 1, d: 4}. Give prob of sequence nttd.\n' | b'3/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence yc when two letters picked without replacement from {c: 1, y: 5, x: 7, z: 1}.\n' | b'5/182\n' | b'Calculate prob of sequence yc when two letters picked without replacement from {c: 1, y: 5, x: 7, z: 1}.\n' | b'5/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 3, f: 2, u: 1, e: 6, a: 3}. Give prob of picking 1 i, 1 e, and 1 f.\n' | b'36/455\n' | b'Three letters picked without replacement from {i: 3, f: 2, u: 1, e: 6, a: 3}. Give prob of picking 1 i, 1 e, and 1 f.\n' | b'36/455\n' | deepmind/math_dataset |
b'Suppose x - 4*n + 2*n - 7 = 0, -3*x - 4*n + 1 = 0. Solve -x*y = b + 13, 1 = b - 1 for y.\n' | b'-5\n' | b'Suppose x - 4*n + 2*n - 7 = 0, -3*x - 4*n + 1 = 0. Solve -x*y = b + 13, 1 = b - 1 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r(a) = -1 + 6378*a - 6377*a + 1. Calculate r(-8).\n' | b'-8\n' | b'Let r(a) = -1 + 6378*a - 6377*a + 1. Calculate r(-8).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbbjbjjbjb. What is prob of picking 4 b?\n' | b'7/66\n' | b'Four letters picked without replacement from bbbbjbjjbjb. What is prob of picking 4 b?\n' | b'7/66\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccl when three letters picked without replacement from {l: 13, c: 5}.\n' | b'65/1224\n' | b'Calculate prob of sequence ccl when three letters picked without replacement from {l: 13, c: 5}.\n' | b'65/1224\n' | deepmind/math_dataset |
b'Find the third derivative of 10 + 9*y**5 - 9*y**2 - 19 + 13*y**2 wrt y.\n' | b'540*y**2\n' | b'Find the third derivative of 10 + 9*y**5 - 9*y**2 - 19 + 13*y**2 wrt y.\n' | b'540*y**2\n' | deepmind/math_dataset |
b'Let z = 89 + -84. Solve z*m - 1 = 2*n, m = 2*n - 0*n + 5 for m.\n' | b'-1\n' | b'Let z = 89 + -84. Solve z*m - 1 = 2*n, m = 2*n - 0*n + 5 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(w) be the third derivative of -13*w**4/12 + 41*w**3/6 - 22*w**2. Differentiate p(i) with respect to i.\n' | b'-26\n' | b'Let p(w) be the third derivative of -13*w**4/12 + 41*w**3/6 - 22*w**2. Differentiate p(i) with respect to i.\n' | b'-26\n' | deepmind/math_dataset |
b'Let m(i) = -1507*i**3 + 226*i + 15. Let f(j) = -1508*j**3 + 227*j + 10. Let z(u) = -3*f(u) + 2*m(u). What is the second derivative of z(c) wrt c?\n' | b'9060*c\n' | b'Let m(i) = -1507*i**3 + 226*i + 15. Let f(j) = -1508*j**3 + 227*j + 10. Let z(u) = -3*f(u) + 2*m(u). What is the second derivative of z(c) wrt c?\n' | b'9060*c\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sjssjs. Give prob of sequence sj.\n' | b'4/15\n' | b'Two letters picked without replacement from sjssjs. Give prob of sequence sj.\n' | b'4/15\n' | deepmind/math_dataset |
b'What is prob of sequence cwn when three letters picked without replacement from ccynamwcwymm?\n' | b'1/220\n' | b'What is prob of sequence cwn when three letters picked without replacement from ccynamwcwymm?\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (z*z**11)**(-39) assuming z is positive.\n' | b'z**(-468)\n' | b'Simplify (z*z**11)**(-39) assuming z is positive.\n' | b'z**(-468)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnflfl. What is prob of sequence llnf?\n' | b'1/45\n' | b'Four letters picked without replacement from nnflfl. What is prob of sequence llnf?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let a(r) be the second derivative of 393*r**6/10 + 509*r**4/4 + 423*r. Find the third derivative of a(m) wrt m.\n' | b'28296*m\n' | b'Let a(r) be the second derivative of 393*r**6/10 + 509*r**4/4 + 423*r. Find the third derivative of a(m) wrt m.\n' | b'28296*m\n' | deepmind/math_dataset |
b'Let q(p) be the second derivative of 1/3*p**3 + 0 - 5/2*p**2 + 11*p. Calculate q(6).\n' | b'7\n' | b'Let q(p) be the second derivative of 1/3*p**3 + 0 - 5/2*p**2 + 11*p. Calculate q(6).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmvmvvemvemdpeqmed.\n' | b'8/51\n' | b'Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmvmvvemvemdpeqmed.\n' | b'8/51\n' | deepmind/math_dataset |
b'What is the second derivative of -79*f - 5*f**3 + 1760 - 3515 + 1758 - 12*f**2 wrt f?\n' | b'-30*f - 24\n' | b'What is the second derivative of -79*f - 5*f**3 + 1760 - 3515 + 1758 - 12*f**2 wrt f?\n' | b'-30*f - 24\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jzjzzzjzzzjjzzzz. Give prob of picking 1 z and 2 j.\n' | b'11/56\n' | b'Three letters picked without replacement from jzjzzzjzzzjjzzzz. Give prob of picking 1 z and 2 j.\n' | b'11/56\n' | deepmind/math_dataset |
b'Simplify ((g**8*g)/(g/g**41))**(2/7) assuming g is positive.\n' | b'g**14\n' | b'Simplify ((g**8*g)/(g/g**41))**(2/7) assuming g is positive.\n' | b'g**14\n' | deepmind/math_dataset |
b'Simplify (o/o**(-1/3)*o*o)**(-3/11)/(o/(o/o**(-5))*o/(o**3/o)) assuming o is positive.\n' | b'o**(56/11)\n' | b'Simplify (o/o**(-1/3)*o*o)**(-3/11)/(o/(o/o**(-5))*o/(o**3/o)) assuming o is positive.\n' | b'o**(56/11)\n' | deepmind/math_dataset |
b'Let o = 24 - 17. Let x = o - -2. Differentiate 1 + 4*y**2 - x*y**2 - 6 + 0*y**2 with respect to y.\n' | b'-10*y\n' | b'Let o = 24 - 17. Let x = o - -2. Differentiate 1 + 4*y**2 - x*y**2 - 6 + 0*y**2 with respect to y.\n' | b'-10*y\n' | deepmind/math_dataset |
b'Suppose 4*s = 3*y - 0*y - 58, 0 = -5*y + 2*s + 78. Let z = -8 + y. Suppose -k - z = -d, 5*k - 2 = -22. Solve 2*a + f + d = 0, 4*f = a - 0 + 10 for a.\n' | b'-2\n' | b'Suppose 4*s = 3*y - 0*y - 58, 0 = -5*y + 2*s + 78. Let z = -8 + y. Suppose -k - z = -d, 5*k - 2 = -22. Solve 2*a + f + d = 0, 4*f = a - 0 + 10 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f be (-4)/(-8)*((-4 - 0) + 4). Solve -2*c = r, f*r + r = -3*c for c.\n' | b'0\n' | b'Let f be (-4)/(-8)*((-4 - 0) + 4). Solve -2*c = r, f*r + r = -3*c for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let q = 949 + -944. Let z(w) = w + 10. Let i be z(-8). Suppose -3*f + i*m = -83, -q*f - 2*m + 153 = 2*m. Solve -v - 10 = -4*x + 6, -3*x + 5*v = -f for x.\n' | b'3\n' | b'Let q = 949 + -944. Let z(w) = w + 10. Let i be z(-8). Suppose -3*f + i*m = -83, -q*f - 2*m + 153 = 2*m. Solve -v - 10 = -4*x + 6, -3*x + 5*v = -f for x.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(q) = -24*q**2 - 7*q - 6. Let o(r) = -26*r**2 - 8*r - 7. Let i(x) = 6*o(x) - 7*v(x). Calculate i(1).\n' | b'13\n' | b'Let v(q) = -24*q**2 - 7*q - 6. Let o(r) = -26*r**2 - 8*r - 7. Let i(x) = 6*o(x) - 7*v(x). Calculate i(1).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i**2))/i*i)/((i*i**11)/i))**(-24/13)/(((i*i/((i**(-1)/i)/i))/i)**(-9)/(i**(1/4)*i)**(10/11)) assuming i is positive.\n' | b'i**(1345/22)\n' | b'Simplify (((i/(i*i**2))/i*i)/((i*i**11)/i))**(-24/13)/(((i*i/((i**(-1)/i)/i))/i)**(-9)/(i**(1/4)*i)**(10/11)) assuming i is positive.\n' | b'i**(1345/22)\n' | deepmind/math_dataset |
b'Find the first derivative of -227*p**4 + 216*p**4 - 137 + 15*p**3 - 240 + 15*p**3 wrt p.\n' | b'-44*p**3 + 90*p**2\n' | b'Find the first derivative of -227*p**4 + 216*p**4 - 137 + 15*p**3 - 240 + 15*p**3 wrt p.\n' | b'-44*p**3 + 90*p**2\n' | deepmind/math_dataset |
b'What is prob of sequence pp when two letters picked without replacement from {o: 3, p: 13}?\n' | b'13/20\n' | b'What is prob of sequence pp when two letters picked without replacement from {o: 3, p: 13}?\n' | b'13/20\n' | deepmind/math_dataset |
b'Simplify ((d*d**(-1/4)*d)**(20/3)/(d**(1/3)/((d*d*(d**8*d)/d)/d)))/((d**(-2/13)/d)/(d**(-6)/d)*d**2*d**(-1/2)*d*d) assuming d is positive.\n' | b'd**(857/78)\n' | b'Simplify ((d*d**(-1/4)*d)**(20/3)/(d**(1/3)/((d*d*(d**8*d)/d)/d)))/((d**(-2/13)/d)/(d**(-6)/d)*d**2*d**(-1/2)*d*d) assuming d is positive.\n' | b'd**(857/78)\n' | deepmind/math_dataset |
b'Let j be 1 - 2016/(-40) - 12/(-20). Find the third derivative of -j*n**6 + 17*n**2 - 18*n**2 + 2*n**6 + 230*n wrt n.\n' | b'-6000*n**3\n' | b'Let j be 1 - 2016/(-40) - 12/(-20). Find the third derivative of -j*n**6 + 17*n**2 - 18*n**2 + 2*n**6 + 230*n wrt n.\n' | b'-6000*n**3\n' | deepmind/math_dataset |
b'Let z = 15 + -12. Differentiate -6*g**4 + 10 - 190*g**z + 190*g**3 with respect to g.\n' | b'-24*g**3\n' | b'Let z = 15 + -12. Differentiate -6*g**4 + 10 - 190*g**z + 190*g**3 with respect to g.\n' | b'-24*g**3\n' | deepmind/math_dataset |
b'Let p = -33 - -35. Let q = 5 - -12. Solve -m - p*m - q = -5*h, -4*h = 3*m + 8 for h.\n' | b'1\n' | b'Let p = -33 - -35. Let q = 5 - -12. Solve -m - p*m - q = -5*h, -4*h = 3*m + 8 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yvyyyvy. Give prob of sequence yyyv.\n' | b'1/7\n' | b'Four letters picked without replacement from yvyyyvy. Give prob of sequence yyyv.\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of picking 3 v when three letters picked without replacement from vvvvvvv?\n' | b'1\n' | b'What is prob of picking 3 v when three letters picked without replacement from vvvvvvv?\n' | b'1\n' | deepmind/math_dataset |
b'Let h = -1982 + 1984. Solve 2*u = -4*f - f - h, -u = -3*f + 1 for f.\n' | b'0\n' | b'Let h = -1982 + 1984. Solve 2*u = -4*f - f - h, -u = -3*f + 1 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(u) be the third derivative of -u**5/60 + u**4/24 - 7*u**3/6 - u**2. Let a(b) = 175*b**2 - 1226*b + 7. Let j be a(7). Determine v(j).\n' | b'-7\n' | b'Let v(u) be the third derivative of -u**5/60 + u**4/24 - 7*u**3/6 - u**2. Let a(b) = 175*b**2 - 1226*b + 7. Let j be a(7). Determine v(j).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-2/7))/v**0)/(v**(-2/7))**44 assuming v is positive.\n' | b'v**(97/7)\n' | b'Simplify ((v/v**(-2/7))/v**0)/(v**(-2/7))**44 assuming v is positive.\n' | b'v**(97/7)\n' | deepmind/math_dataset |
b'Let r be (4/((-24)/(-9)))/((-15)/(-30)). Solve r*b + 4*l = -10, -b - l + 6 = 4*b for b.\n' | b'2\n' | b'Let r be (4/((-24)/(-9)))/((-15)/(-30)). Solve r*b + 4*l = -10, -b - l + 6 = 4*b for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let z = -23 + 26. Suppose 0 = z*b - 4*b. Solve -3*x + 5*f - 15 - 11 = 0, b = -3*x - 3*f + 6 for x.\n' | b'-2\n' | b'Let z = -23 + 26. Suppose 0 = z*b - 4*b. Solve -3*x + 5*f - 15 - 11 = 0, b = -3*x - 3*f + 6 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jmxjxxjxzzzzz. Give prob of sequence xz.\n' | b'5/39\n' | b'Two letters picked without replacement from jmxjxxjxzzzzz. Give prob of sequence xz.\n' | b'5/39\n' | deepmind/math_dataset |
b'Let n(h) be the third derivative of h**6/120 + h**5/15 - 5*h**4/24 - 5*h**3/6 - 11*h**2. Suppose -5 = 2*p - p. Give n(p).\n' | b'-5\n' | b'Let n(h) be the third derivative of h**6/120 + h**5/15 - 5*h**4/24 - 5*h**3/6 - 11*h**2. Suppose -5 = 2*p - p. Give n(p).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -6*n + 21*n = 75. Solve -n*a = 2*b - 3*b - 3, -a - 5*b = -11 for a.\n' | b'1\n' | b'Suppose -6*n + 21*n = 75. Solve -n*a = 2*b - 3*b - 3, -a - 5*b = -11 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eyyefbbbbbbbybeybeb. What is prob of picking 2 e, 1 f, and 1 b?\n' | b'5/323\n' | b'Four letters picked without replacement from eyyefbbbbbbbybeybeb. What is prob of picking 2 e, 1 f, and 1 b?\n' | b'5/323\n' | deepmind/math_dataset |
b'Simplify (g/g**(2/3))**(-12)/(g/g**(-8)*g*(g**0*g)/g) assuming g is positive.\n' | b'g**(-14)\n' | b'Simplify (g/g**(2/3))**(-12)/(g/g**(-8)*g*(g**0*g)/g) assuming g is positive.\n' | b'g**(-14)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 3, i: 1}. What is prob of picking 3 c?\n' | b'1/4\n' | b'Three letters picked without replacement from {c: 3, i: 1}. What is prob of picking 3 c?\n' | b'1/4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggggggggggugggggggg. What is prob of picking 1 g and 1 u?\n' | b'1/10\n' | b'Two letters picked without replacement from gggggggggggugggggggg. What is prob of picking 1 g and 1 u?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let n be 4/10 - 17/5. Let k(p) = 8*p**2 - 10. Let h(q) = 7*q**2 - 9. Let b = 16 + -22. Let i(w) = b*k(w) + 7*h(w). What is i(n)?\n' | b'6\n' | b'Let n be 4/10 - 17/5. Let k(p) = 8*p**2 - 10. Let h(q) = 7*q**2 - 9. Let b = 16 + -22. Let i(w) = b*k(w) + 7*h(w). What is i(n)?\n' | b'6\n' | deepmind/math_dataset |
b'Let u(y) = y + 7. Let t be u(3). Suppose -k - 30 = -6*k + 2*d, 2*d = -t. Let w(i) be the first derivative of i**4/4 - 2*i**3 + 7*i**2/2 - 6*i + 2. Give w(k).\n' | b'-10\n' | b'Let u(y) = y + 7. Let t be u(3). Suppose -k - 30 = -6*k + 2*d, 2*d = -t. Let w(i) be the first derivative of i**4/4 - 2*i**3 + 7*i**2/2 - 6*i + 2. Give w(k).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 c when three letters picked without replacement from zzocuccmouccco?\n' | b'15/182\n' | b'What is prob of picking 1 u and 2 c when three letters picked without replacement from zzocuccmouccco?\n' | b'15/182\n' | deepmind/math_dataset |
b'Let a(y) = 41*y**3 - 3*y**2 + 79. Let m = 166 + -162. Let q(w) = 42*w**3 - 4*w**2 + 80. Let b(c) = m*a(c) - 3*q(c). Find the first derivative of b(r) wrt r.\n' | b'114*r**2\n' | b'Let a(y) = 41*y**3 - 3*y**2 + 79. Let m = 166 + -162. Let q(w) = 42*w**3 - 4*w**2 + 80. Let b(c) = m*a(c) - 3*q(c). Find the first derivative of b(r) wrt r.\n' | b'114*r**2\n' | deepmind/math_dataset |
b'Let k(b) = -11*b - 27. Let w be ((-1)/(-3))/((-4)/(-156)). Let o(f) = 5*f + 13. Let n(i) = w*o(i) + 6*k(i). Differentiate n(l) wrt l.\n' | b'-1\n' | b'Let k(b) = -11*b - 27. Let w be ((-1)/(-3))/((-4)/(-156)). Let o(f) = 5*f + 13. Let n(i) = w*o(i) + 6*k(i). Differentiate n(l) wrt l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c(l) be the second derivative of -2459*l**5/20 - 17*l**4/12 + 53*l**3/6 - 311*l - 10. What is the third derivative of c(p) wrt p?\n' | b'-14754\n' | b'Let c(l) be the second derivative of -2459*l**5/20 - 17*l**4/12 + 53*l**3/6 - 311*l - 10. What is the third derivative of c(p) wrt p?\n' | b'-14754\n' | deepmind/math_dataset |
b'Simplify (((p/((p*p/(p*p**(-4)))/p))/p)/(p/(p/p**(-3/2)))*p/p**3*p*p*p**(-4/9)/p*p)/(p**(-7)/p*p**(1/6)/p*p)**(-13/4) assuming p is positive.\n' | b'p**(-2045/72)\n' | b'Simplify (((p/((p*p/(p*p**(-4)))/p))/p)/(p/(p/p**(-3/2)))*p/p**3*p*p*p**(-4/9)/p*p)/(p**(-7)/p*p**(1/6)/p*p)**(-13/4) assuming p is positive.\n' | b'p**(-2045/72)\n' | deepmind/math_dataset |
b'Simplify ((r*r/r**(-18))**(1/45))**(16/9) assuming r is positive.\n' | b'r**(64/81)\n' | b'Simplify ((r*r/r**(-18))**(1/45))**(16/9) assuming r is positive.\n' | b'r**(64/81)\n' | deepmind/math_dataset |
b'Simplify ((p*p*p/(p/((p*(p/((p**(-11/3)/p)/p))/p)/p))*p*p**(-3/4))/(p**(-4/3)*p*p*p**(-7)))**4 assuming p is positive.\n' | b'p**57\n' | b'Simplify ((p*p*p/(p/((p*(p/((p**(-11/3)/p)/p))/p)/p))*p*p**(-3/4))/(p**(-4/3)*p*p*p**(-7)))**4 assuming p is positive.\n' | b'p**57\n' | deepmind/math_dataset |
b'Simplify (u**20/u)**(-23/3)*(u/(u**(-1/4)*u))**(-1/63) assuming u is positive.\n' | b'u**(-36709/252)\n' | b'Simplify (u**20/u)**(-23/3)*(u/(u**(-1/4)*u))**(-1/63) assuming u is positive.\n' | b'u**(-36709/252)\n' | deepmind/math_dataset |
b'Simplify (l**0*l**(1/2)*(l*l**3*l)/(l/(l/(l*l*l*l**(-5)*l*l))))**1 assuming l is positive.\n' | b'l**(11/2)\n' | b'Simplify (l**0*l**(1/2)*(l*l**3*l)/(l/(l/(l*l*l*l**(-5)*l*l))))**1 assuming l is positive.\n' | b'l**(11/2)\n' | deepmind/math_dataset |
b'Simplify (t**(15/2))**(-5/2) assuming t is positive.\n' | b't**(-75/4)\n' | b'Simplify (t**(15/2))**(-5/2) assuming t is positive.\n' | b't**(-75/4)\n' | deepmind/math_dataset |
b'Simplify (((o*o**(-5/4)*o)/o)/o*o**(5/4)*(o**(-4)*o*o)/o*o*o*o**(2/13))/((o*o**(-3/2))/o*o**(3/8)*o*o**3*o**(-7)) assuming o is positive.\n' | b'o**(341/104)\n' | b'Simplify (((o*o**(-5/4)*o)/o)/o*o**(5/4)*(o**(-4)*o*o)/o*o*o*o**(2/13))/((o*o**(-3/2))/o*o**(3/8)*o*o**3*o**(-7)) assuming o is positive.\n' | b'o**(341/104)\n' | deepmind/math_dataset |
b'Suppose -2*o + 24 = 2*o - 4*b, -6 = -o + 3*b. Let t be (0 + -3 + 11)*3/o. What is the third derivative of -2*c**2 + 208*c**5 - 192*c**5 + 4*c**4 - t*c**4 wrt c?\n' | b'960*c**2\n' | b'Suppose -2*o + 24 = 2*o - 4*b, -6 = -o + 3*b. Let t be (0 + -3 + 11)*3/o. What is the third derivative of -2*c**2 + 208*c**5 - 192*c**5 + 4*c**4 - t*c**4 wrt c?\n' | b'960*c**2\n' | deepmind/math_dataset |
b'Let p(g) = -g**3 + g**2 + 2*g - 1. Let i be p(-2). Let d(m) = m - 1. What is d(i)?\n' | b'6\n' | b'Let p(g) = -g**3 + g**2 + 2*g - 1. Let i be p(-2). Let d(m) = m - 1. What is d(i)?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -5*o = o - 24. Let u = o - -2. Suppose u*a = 3*a. Solve 3*v + 4*t - 21 = a, -v + 2 - 8 = -3*t for v.\n' | b'3\n' | b'Suppose -5*o = o - 24. Let u = o - -2. Suppose u*a = 3*a. Solve 3*v + 4*t - 21 = a, -v + 2 - 8 = -3*t for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let j be 2 + -1 + (30/6 - 4). Let d be j + 0/(-1) + (6 - 3). Solve 12 = l - 4*s + 9*s, d*s - 16 = -3*l for l.\n' | b'2\n' | b'Let j be 2 + -1 + (30/6 - 4). Let d be j + 0/(-1) + (6 - 3). Solve 12 = l - 4*s + 9*s, d*s - 16 = -3*l for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmmmhmmhmmmmmmmm. What is prob of sequence hm?\n' | b'16/153\n' | b'Two letters picked without replacement from mmmmmmhmmhmmmmmmmm. What is prob of sequence hm?\n' | b'16/153\n' | deepmind/math_dataset |
b'Let h(a) = a**2 + 7*a + 1. Let o = 1 + -1. Let u(z) = z**2 + 4*z + 12. Let y(p) = p**2 + 5*p + 14. Let n(l) = -4*u(l) + 3*y(l). Let d be n(o). Determine h(d).\n' | b'-5\n' | b'Let h(a) = a**2 + 7*a + 1. Let o = 1 + -1. Let u(z) = z**2 + 4*z + 12. Let y(p) = p**2 + 5*p + 14. Let n(l) = -4*u(l) + 3*y(l). Let d be n(o). Determine h(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*r - 2*r. Suppose r*n - 2*n = -6. Solve 4*s - 5*t - 7 = n, 5*s - t - 2 = 0 for s.\n' | b'0\n' | b'Suppose 0 = 5*r - 2*r. Suppose r*n - 2*n = -6. Solve 4*s - 5*t - 7 = n, 5*s - t - 2 = 0 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, z: 2}. Give prob of sequence zh.\n' | b'1/3\n' | b'Two letters picked without replacement from {h: 1, z: 2}. Give prob of sequence zh.\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of picking 4 e when four letters picked without replacement from {z: 2, c: 1, e: 4, j: 4}?\n' | b'1/330\n' | b'What is prob of picking 4 e when four letters picked without replacement from {z: 2, c: 1, e: 4, j: 4}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Simplify (c**4/c)**(-2/141)/((c*c**(1/4)*c*c)/(c**(3/13)/c)) assuming c is positive.\n' | b'c**(-9927/2444)\n' | b'Simplify (c**4/c)**(-2/141)/((c*c**(1/4)*c*c)/(c**(3/13)/c)) assuming c is positive.\n' | b'c**(-9927/2444)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjt when three letters picked without replacement from {o: 5, t: 3, c: 3, j: 6}.\n' | b'3/136\n' | b'Calculate prob of sequence jjt when three letters picked without replacement from {o: 5, t: 3, c: 3, j: 6}.\n' | b'3/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 7, l: 1, j: 8, w: 4}. What is prob of sequence hjl?\n' | b'7/855\n' | b'Three letters picked without replacement from {h: 7, l: 1, j: 8, w: 4}. What is prob of sequence hjl?\n' | b'7/855\n' | deepmind/math_dataset |
b'Suppose -4*v + 8*v = 16. Suppose 4*o = -16 - v. Let p(y) = y**2 + 3*y - 5. What is p(o)?\n' | b'5\n' | b'Suppose -4*v + 8*v = 16. Suppose 4*o = -16 - v. Let p(y) = y**2 + 3*y - 5. What is p(o)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from vvvba.\n' | b'3/10\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from vvvba.\n' | b'3/10\n' | deepmind/math_dataset |
b'Suppose -a = -5*z - 6, 3*z - 8*z - 2*a = 3. Let t = 2 - z. Suppose -2 + 34 = 4*w. Solve t*g - g = -5*k - w, 0 = 4*g + 2*k for g.\n' | b'1\n' | b'Suppose -a = -5*z - 6, 3*z - 8*z - 2*a = 3. Let t = 2 - z. Suppose -2 + 34 = 4*w. Solve t*g - g = -5*k - w, 0 = 4*g + 2*k for g.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5 = -5*a - 4*y, 2*a + y + 15 = -4*y. Solve 4*l + 3*v = 4, 0*l = -a*l - 5*v for l.\n' | b'4\n' | b'Suppose -5 = -5*a - 4*y, 2*a + y + 15 = -4*y. Solve 4*l + 3*v = 4, 0*l = -a*l - 5*v for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify z**(2/27)/((z/(z*((z*z*z**(-4)*z)/z)/z))/z*z)*z**(5/4)/((z*(z/z**(-19))/z)/z*z) assuming z is positive.\n' | b'z**(-2341/108)\n' | b'Simplify z**(2/27)/((z/(z*((z*z*z**(-4)*z)/z)/z))/z*z)*z**(5/4)/((z*(z/z**(-19))/z)/z*z) assuming z is positive.\n' | b'z**(-2341/108)\n' | deepmind/math_dataset |
b'Let t(j) = -995*j**4 - 4*j**2 + 113*j. Let q(g) = -996*g**4 - 5*g**2 + 113*g. Let m(y) = -4*q(y) + 5*t(y). What is the second derivative of m(l) wrt l?\n' | b'-11892*l**2\n' | b'Let t(j) = -995*j**4 - 4*j**2 + 113*j. Let q(g) = -996*g**4 - 5*g**2 + 113*g. Let m(y) = -4*q(y) + 5*t(y). What is the second derivative of m(l) wrt l?\n' | b'-11892*l**2\n' | deepmind/math_dataset |
b'Suppose 53 = 4*i + 13. Find the second derivative of 32 - 21*c - 32 + i*c**5 + 3*c**5 wrt c.\n' | b'260*c**3\n' | b'Suppose 53 = 4*i + 13. Find the second derivative of 32 - 21*c - 32 + i*c**5 + 3*c**5 wrt c.\n' | b'260*c**3\n' | deepmind/math_dataset |
b'Simplify ((((((v*v**(-9)*v)/v)/v)/v)/(v*v**(-2/11)))**9)**(-49) assuming v is positive.\n' | b'v**(52479/11)\n' | b'Simplify ((((((v*v**(-9)*v)/v)/v)/v)/(v*v**(-2/11)))**9)**(-49) assuming v is positive.\n' | b'v**(52479/11)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 6, z: 4, u: 1, d: 5}. Give prob of sequence dyy.\n' | b'5/112\n' | b'Three letters picked without replacement from {y: 6, z: 4, u: 1, d: 5}. Give prob of sequence dyy.\n' | b'5/112\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 k when two letters picked without replacement from akkkkkak?\n' | b'3/7\n' | b'What is prob of picking 1 a and 1 k when two letters picked without replacement from akkkkkak?\n' | b'3/7\n' | deepmind/math_dataset |
b'Let o(v) be the first derivative of -3*v**2/2 - v + 3. Suppose 3*a + 16 = q, -2*a - 26 = -q + 3*a. Calculate o(q).\n' | b'-4\n' | b'Let o(v) be the first derivative of -3*v**2/2 - v + 3. Suppose 3*a + 16 = q, -2*a - 26 = -q + 3*a. Calculate o(q).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((i*i**(2/3))**26/(i*i*i**(-3)*i*((i**(-4)/i)/i)/i))/(i**(-3/4)*i**(-4))**(-23) assuming i is positive.\n' | b'i**(-707/12)\n' | b'Simplify ((i*i**(2/3))**26/(i*i*i**(-3)*i*((i**(-4)/i)/i)/i))/(i**(-3/4)*i**(-4))**(-23) assuming i is positive.\n' | b'i**(-707/12)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h, 1 b, and 1 v when three letters picked without replacement from {h: 9, b: 2, k: 2, v: 1}.\n' | b'9/182\n' | b'Calculate prob of picking 1 h, 1 b, and 1 v when three letters picked without replacement from {h: 9, b: 2, k: 2, v: 1}.\n' | b'9/182\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.