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 b = 1 - -2. What is the third derivative of -y**b + 2*y**2 - 5*y**2 + 2*y**2 wrt y?\n' | b'-6\n' | b'Let b = 1 - -2. What is the third derivative of -y**b + 2*y**2 - 5*y**2 + 2*y**2 wrt y?\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(r) = r**2 - 14*r + 52. Let k be q(8). Solve 2*l - 1 = -4*y + 3, -13 = -3*y - k*l for y.\n' | b'-1\n' | b'Let q(r) = r**2 - 14*r + 52. Let k be q(8). Solve 2*l - 1 = -4*y + 3, -13 = -3*y - k*l for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqqqqqqq. What is prob of sequence qq?\n' | b'1\n' | b'Two letters picked without replacement from qqqqqqqqqq. What is prob of sequence qq?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (v*v*v**(-2/7)*v)**(8/3)/(v*v**1*v*v)**(-7/4) assuming v is positive.\n' | b'v**(299/21)\n' | b'Simplify (v*v*v**(-2/7)*v)**(8/3)/(v*v**1*v*v)**(-7/4) assuming v is positive.\n' | b'v**(299/21)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nqriwnwiiininxnnw. Give prob of picking 2 i.\n' | b'5/68\n' | b'Two letters picked without replacement from nqriwnwiiininxnnw. Give prob of picking 2 i.\n' | b'5/68\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 10}. Give prob of picking 3 q.\n' | b'1\n' | b'Three letters picked without replacement from {q: 10}. Give prob of picking 3 q.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p*p**(2/15)*p**(-2/37)*p)/(p/p**(-12)*p**(3/2)*p))**(-2/113) assuming p is positive.\n' | b'p**(14897/62715)\n' | b'Simplify ((p*p**(2/15)*p**(-2/37)*p)/(p/p**(-12)*p**(3/2)*p))**(-2/113) assuming p is positive.\n' | b'p**(14897/62715)\n' | deepmind/math_dataset |
b'Let q = 4 - -2. Let f(u) be the first derivative of -7*u + u + 3 - 10*u**2 + 11*u**2. Determine f(q).\n' | b'6\n' | b'Let q = 4 - -2. Let f(u) be the first derivative of -7*u + u + 3 - 10*u**2 + 11*u**2. Determine f(q).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (i/(i*i*i**(-3)/i))**4/(i**(10/9)/((i/(i**(-1/15)/i))/i)) assuming i is positive.\n' | b'i**(538/45)\n' | b'Simplify (i/(i*i*i**(-3)/i))**4/(i**(10/9)/((i/(i**(-1/15)/i))/i)) assuming i is positive.\n' | b'i**(538/45)\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 t when two letters picked without replacement from bbbbbbttbwbbgwbt?\n' | b'1/4\n' | b'What is prob of picking 1 b and 1 t when two letters picked without replacement from bbbbbbttbwbbgwbt?\n' | b'1/4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, s: 5}. What is prob of picking 3 s and 1 z?\n' | b'4/7\n' | b'Four letters picked without replacement from {z: 2, s: 5}. What is prob of picking 3 s and 1 z?\n' | b'4/7\n' | deepmind/math_dataset |
b'Suppose 0 = -11*p + 14*p - 15. Suppose p*j = r + 14, -j - 6*r + 4*r = 6. Solve j*q = c + 6, -q + 0 + 3 = 4*c for c.\n' | b'0\n' | b'Suppose 0 = -11*p + 14*p - 15. Suppose p*j = r + 14, -j - 6*r + 4*r = 6. Solve j*q = c + 6, -q + 0 + 3 = 4*c for c.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence pii when three letters picked without replacement from {j: 1, z: 6, p: 7, i: 4}.\n' | b'7/408\n' | b'Calculate prob of sequence pii when three letters picked without replacement from {j: 1, z: 6, p: 7, i: 4}.\n' | b'7/408\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ttyyyyytaayatyyttata. What is prob of sequence ata?\n' | b'7/342\n' | b'Three letters picked without replacement from ttyyyyytaayatyyttata. What is prob of sequence ata?\n' | b'7/342\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eqhqhqqve. Give prob of sequence hqvh.\n' | b'1/378\n' | b'Four letters picked without replacement from eqhqhqqve. Give prob of sequence hqvh.\n' | b'1/378\n' | deepmind/math_dataset |
b'Calculate prob of sequence hl when two letters picked without replacement from hhcchccchahhhccchlha.\n' | b'9/380\n' | b'Calculate prob of sequence hl when two letters picked without replacement from hhcchccchahhhccchlha.\n' | b'9/380\n' | deepmind/math_dataset |
b'Suppose -4*r - 9 = 3*u - 34, r = -5*u + 19. Suppose -l = 7 - 8. Suppose -5 = a, -2*k - l = -0*a + a. Solve -t = 4*m + 13, u = -5*m + k*t - 10 for m.\n' | b'-3\n' | b'Suppose -4*r - 9 = 3*u - 34, r = -5*u + 19. Suppose -l = 7 - 8. Suppose -5 = a, -2*k - l = -0*a + a. Solve -t = 4*m + 13, u = -5*m + k*t - 10 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(i) be the second derivative of -5*i**2 + 0*i**4 + 0*i**3 - 11*i + 1/6*i**6 + 0 + 0*i**5. What is the derivative of j(h) wrt h?\n' | b'20*h**3\n' | b'Let j(i) be the second derivative of -5*i**2 + 0*i**4 + 0*i**3 - 11*i + 1/6*i**6 + 0 + 0*i**5. What is the derivative of j(h) wrt h?\n' | b'20*h**3\n' | deepmind/math_dataset |
b'Let q(c) = -c**3 - 10*c**2 - c - 8. Let x be q(-10). What is the third derivative of -13*l**4 - 5*l**4 - 17*l**x + 12*l**2 + 10*l**2 wrt l?\n' | b'-432*l\n' | b'Let q(c) = -c**3 - 10*c**2 - c - 8. Let x be q(-10). What is the third derivative of -13*l**4 - 5*l**4 - 17*l**x + 12*l**2 + 10*l**2 wrt l?\n' | b'-432*l\n' | deepmind/math_dataset |
b'Simplify (k/(k*k**(-4))*k)/(k*k**(-20)/k) assuming k is positive.\n' | b'k**25\n' | b'Simplify (k/(k*k**(-4))*k)/(k*k**(-20)/k) assuming k is positive.\n' | b'k**25\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, a: 2, f: 2}. What is prob of picking 2 i?\n' | b'1/15\n' | b'Two letters picked without replacement from {i: 2, a: 2, f: 2}. What is prob of picking 2 i?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(r) = -r**3 - 3*r**2 + 12*r + 33. Let v be c(-3). Let l be -8 - -9 - (0 - (-1 - v)). Let o = -4 + 9. Solve -o*n = -5*j - 35, -3*j + l = 3*n - 6 for j.\n' | b'-2\n' | b'Let c(r) = -r**3 - 3*r**2 + 12*r + 33. Let v be c(-3). Let l be -8 - -9 - (0 - (-1 - v)). Let o = -4 + 9. Solve -o*n = -5*j - 35, -3*j + l = 3*n - 6 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f(d) = 2*d + 32. Let t be f(-15). Let v(j) = j**3 - 30*j**2 + 24*j**t + 3 - 3*j**2 - 9*j. Calculate v(10).\n' | b'13\n' | b'Let f(d) = 2*d + 32. Let t be f(-15). Let v(j) = j**3 - 30*j**2 + 24*j**t + 3 - 3*j**2 - 9*j. Calculate v(10).\n' | b'13\n' | deepmind/math_dataset |
b'Let s = -112 - -115. Find the third derivative of 538*h**5 - 10*h**s - 531*h**5 - 4 - 5*h**2 - 2 wrt h.\n' | b'420*h**2 - 60\n' | b'Let s = -112 - -115. Find the third derivative of 538*h**5 - 10*h**s - 531*h**5 - 4 - 5*h**2 - 2 wrt h.\n' | b'420*h**2 - 60\n' | deepmind/math_dataset |
b'Let z(o) be the first derivative of 2 + 1/2*o**2 + 2*o - 1/3*o**3. Calculate z(3).\n' | b'-4\n' | b'Let z(o) be the first derivative of 2 + 1/2*o**2 + 2*o - 1/3*o**3. Calculate z(3).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence ydxx when four letters picked without replacement from ydyyyyydyxyyyx?\n' | b'5/3003\n' | b'What is prob of sequence ydxx when four letters picked without replacement from ydyyyyydyxyyyx?\n' | b'5/3003\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from nnntnnnntnnnnnnnntnn.\n' | b'3/190\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from nnntnnnntnnnnnnnntnn.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let r(j) = 56*j**3 + 17*j + 42. Let f(y) = -28*y**3 - 8*y - 21. Let s(w) = 13*f(w) + 6*r(w). Find the second derivative of s(x) wrt x.\n' | b'-168*x\n' | b'Let r(j) = 56*j**3 + 17*j + 42. Let f(y) = -28*y**3 - 8*y - 21. Let s(w) = 13*f(w) + 6*r(w). Find the second derivative of s(x) wrt x.\n' | b'-168*x\n' | deepmind/math_dataset |
b'Let p(c) = 4 + 2 - c**2 + 2*c + 3 - 10*c. Let t be p(-9). What is the third derivative of -4*g**4 + t*g**2 - 3*g**2 + g**2 wrt g?\n' | b'-96*g\n' | b'Let p(c) = 4 + 2 - c**2 + 2*c + 3 - 10*c. Let t be p(-9). What is the third derivative of -4*g**4 + t*g**2 - 3*g**2 + g**2 wrt g?\n' | b'-96*g\n' | deepmind/math_dataset |
b'Simplify (j**(-2/45)*j**(-13)/j)/(j**(-4))**(-2/129) assuming j is positive.\n' | b'j**(-27296/1935)\n' | b'Simplify (j**(-2/45)*j**(-13)/j)/(j**(-4))**(-2/129) assuming j is positive.\n' | b'j**(-27296/1935)\n' | deepmind/math_dataset |
b'Let a(s) be the third derivative of -s**6/10 + s**4/24 - 3*s**2. What is the second derivative of a(q) wrt q?\n' | b'-72*q\n' | b'Let a(s) be the third derivative of -s**6/10 + s**4/24 - 3*s**2. What is the second derivative of a(q) wrt q?\n' | b'-72*q\n' | deepmind/math_dataset |
b'Simplify (l**(-3))**(-7/2) assuming l is positive.\n' | b'l**(21/2)\n' | b'Simplify (l**(-3))**(-7/2) assuming l is positive.\n' | b'l**(21/2)\n' | deepmind/math_dataset |
b'Suppose -36 = -3*g - 4*h, -2*h = -3*g + 4*g - 14. Let a = g - 4. Find the third derivative of z**5 - a*z**2 - z**5 - 11*z**6 + 13*z**6 wrt z.\n' | b'240*z**3\n' | b'Suppose -36 = -3*g - 4*h, -2*h = -3*g + 4*g - 14. Let a = g - 4. Find the third derivative of z**5 - a*z**2 - z**5 - 11*z**6 + 13*z**6 wrt z.\n' | b'240*z**3\n' | deepmind/math_dataset |
b'Simplify ((x**2*x)/x)**(-45) assuming x is positive.\n' | b'x**(-90)\n' | b'Simplify ((x**2*x)/x)**(-45) assuming x is positive.\n' | b'x**(-90)\n' | deepmind/math_dataset |
b'Let s be (12*12/216)/(1/6). Let b be -10 + 4 + s + 3 + -3. Let d(l) = 3*l**3 + 3*l**2 + l. Give d(b).\n' | b'-14\n' | b'Let s be (12*12/216)/(1/6). Let b be -10 + 4 + s + 3 + -3. Let d(l) = 3*l**3 + 3*l**2 + l. Give d(b).\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose 3*j = -4*p, 2*p + 3*p = j. Suppose -q + 13 = -j*q. Let v = -472 - -476. Solve 5*s = -3*t + 37, -2*t + s - q = -v*t for t.\n' | b'4\n' | b'Suppose 3*j = -4*p, 2*p + 3*p = j. Suppose -q + 13 = -j*q. Let v = -472 - -476. Solve 5*s = -3*t + 37, -2*t + s - q = -v*t for t.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, f: 2, c: 1, m: 1}. What is prob of picking 2 f?\n' | b'1/10\n' | b'Two letters picked without replacement from {k: 1, f: 2, c: 1, m: 1}. What is prob of picking 2 f?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (r*r**8/r*r*r*r)/r*r/(r**(1/4)/r)*r**(8/7)*r*r*r/r**(-22) assuming r is positive.\n' | b'r**(1061/28)\n' | b'Simplify (r*r**8/r*r*r*r)/r*r/(r**(1/4)/r)*r**(8/7)*r*r*r/r**(-22) assuming r is positive.\n' | b'r**(1061/28)\n' | deepmind/math_dataset |
b'Simplify w**(-1/15)/w**11*(w*w**(2/13))**(-18) assuming w is positive.\n' | b'w**(-6208/195)\n' | b'Simplify w**(-1/15)/w**11*(w*w**(2/13))**(-18) assuming w is positive.\n' | b'w**(-6208/195)\n' | deepmind/math_dataset |
b'Suppose -37 = s - 36. Let c = 1 - s. What is the third derivative of 0 + 6*l**2 - 16*l**c + 0 - 3*l**5 wrt l?\n' | b'-180*l**2\n' | b'Suppose -37 = s - 36. Let c = 1 - s. What is the third derivative of 0 + 6*l**2 - 16*l**c + 0 - 3*l**5 wrt l?\n' | b'-180*l**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 1 a when three letters picked without replacement from bbbbbababbb.\n' | b'24/55\n' | b'Calculate prob of picking 2 b and 1 a when three letters picked without replacement from bbbbbababbb.\n' | b'24/55\n' | deepmind/math_dataset |
b'Let r(z) = z**3 + 4*z**2 + 1. Suppose -10 = -7*t + 795. Suppose -121*y = -t*y + 12. What is r(y)?\n' | b'9\n' | b'Let r(z) = z**3 + 4*z**2 + 1. Suppose -10 = -7*t + 795. Suppose -121*y = -t*y + 12. What is r(y)?\n' | b'9\n' | deepmind/math_dataset |
b'Let i(y) = -y**2 + 4*y + 3. Let z = -3 + 8. Suppose 3*m - 2*o = -1 - 1, z*m + 45 = -5*o. Let s(b) = b**2 + 5*b + 2. Let k be s(m). Give i(k).\n' | b'-9\n' | b'Let i(y) = -y**2 + 4*y + 3. Let z = -3 + 8. Suppose 3*m - 2*o = -1 - 1, z*m + 45 = -5*o. Let s(b) = b**2 + 5*b + 2. Let k be s(m). Give i(k).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (m*m/(m**(-1/5)/m)*(m*m**(1/7)*m*m*m)/m)/(m**(1/21)/(m*((m*m/(m/(m*m/m**8)))/m)/m)) assuming m is positive.\n' | b'm**(31/105)\n' | b'Simplify (m*m/(m**(-1/5)/m)*(m*m**(1/7)*m*m*m)/m)/(m**(1/21)/(m*((m*m/(m/(m*m/m**8)))/m)/m)) assuming m is positive.\n' | b'm**(31/105)\n' | deepmind/math_dataset |
b'Let d(g) = 7*g + 13. Let o(v) be the first derivative of 5*v**2/2 + 13*v + 100. Let k(t) = 3*d(t) - 4*o(t). Calculate k(7).\n' | b'-6\n' | b'Let d(g) = 7*g + 13. Let o(v) be the first derivative of 5*v**2/2 + 13*v + 100. Let k(t) = 3*d(t) - 4*o(t). Calculate k(7).\n' | b'-6\n' | deepmind/math_dataset |
b'Let k be 4/3*(-3)/(-2). Suppose k = -0*j + j. Let f(x) = 0*x**2 + 1 + 8*x**3 + 0*x**j. Give f(-1).\n' | b'-7\n' | b'Let k be 4/3*(-3)/(-2). Suppose k = -0*j + j. Let f(x) = 0*x**2 + 1 + 8*x**3 + 0*x**j. Give f(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 3*a + 24 = 93. Let b(n) = 0*n - 5*n + 0*n - a. Let v(k) = k + 4. Let f(m) = -6*b(m) - 34*v(m). Give f(2).\n' | b'-6\n' | b'Suppose 3*a + 24 = 93. Let b(n) = 0*n - 5*n + 0*n - a. Let v(k) = k + 4. Let f(m) = -6*b(m) - 34*v(m). Give f(2).\n' | b'-6\n' | deepmind/math_dataset |
b'Let z be -15 + (1 - 2 - -18). Solve 344*s + 12 = 348*s + 4*m, -z*s = m - 6 for s.\n' | b'3\n' | b'Let z be -15 + (1 - 2 - -18). Solve 344*s + 12 = 348*s + 4*m, -z*s = m - 6 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, t: 3, v: 2, i: 1}. Give prob of picking 1 t and 1 i.\n' | b'1/15\n' | b'Two letters picked without replacement from {g: 4, t: 3, v: 2, i: 1}. Give prob of picking 1 t and 1 i.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose 0*a - 4*a = -6*a. Let n(j) = 16 + 4 + a - j - 10. Calculate n(0).\n' | b'10\n' | b'Suppose 0*a - 4*a = -6*a. Let n(j) = 16 + 4 + a - j - 10. Calculate n(0).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 3*u = u + 4. Let g be 11 - (u/2 + -2). Solve 0 = -3*h - 0*j + j + 16, g = 2*h - j for h.\n' | b'4\n' | b'Suppose 3*u = u + 4. Let g be 11 - (u/2 + -2). Solve 0 = -3*h - 0*j + j + 16, g = 2*h - j for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(k) = -k**3 + 5*k**2 - k - 2. Let g = 3 + 0. Let y be 16/g - 5/15. Give n(y).\n' | b'-7\n' | b'Let n(k) = -k**3 + 5*k**2 - k - 2. Let g = 3 + 0. Let y be 16/g - 5/15. Give n(y).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence fr when two letters picked without replacement from {r: 1, f: 3, s: 11}.\n' | b'1/70\n' | b'Calculate prob of sequence fr when two letters picked without replacement from {r: 1, f: 3, s: 11}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let y(i) = -i**3 + i**2 + 8. Let n be (0/(0 - 1))/(-2). Let w be y(n). Let t(a) = a - 4. Let f be t(w). Solve 2*z - 5*u = 4, f*z = -3*u - 2*u + 8 for z.\n' | b'2\n' | b'Let y(i) = -i**3 + i**2 + 8. Let n be (0/(0 - 1))/(-2). Let w be y(n). Let t(a) = a - 4. Let f be t(w). Solve 2*z - 5*u = 4, f*z = -3*u - 2*u + 8 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence tm when two letters picked without replacement from atmit.\n' | b'1/10\n' | b'Calculate prob of sequence tm when two letters picked without replacement from atmit.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let l(k) be the third derivative of -k**6/120 - k**4/24 + k**3/3 + 2*k**2 + 38*k. Suppose 2*r = u - r + 7, r - 3 = 0. Calculate l(u).\n' | b'-8\n' | b'Let l(k) be the third derivative of -k**6/120 - k**4/24 + k**3/3 + 2*k**2 + 38*k. Suppose 2*r = u - r + 7, r - 3 = 0. Calculate l(u).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -6*n - 10101 = -13*n. Suppose 1441*y + 4 = n*y. Solve -3*v + 2 = -2*z, -y*z + 2 = -0*z - 2*v for z.\n' | b'5\n' | b'Suppose -6*n - 10101 = -13*n. Suppose 1441*y + 4 = n*y. Solve -3*v + 2 = -2*z, -y*z + 2 = -0*z - 2*v for z.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(v) be the second derivative of -v**8/28 - 52*v**6/3 + 7*v**4/12 - v**2/2 + 12*v - 3. Find the third derivative of w(k) wrt k.\n' | b'-240*k**3 - 12480*k\n' | b'Let w(v) be the second derivative of -v**8/28 - 52*v**6/3 + 7*v**4/12 - v**2/2 + 12*v - 3. Find the third derivative of w(k) wrt k.\n' | b'-240*k**3 - 12480*k\n' | deepmind/math_dataset |
b'Simplify (g**(2/15))**(-16)/(g**1)**(-3/28) assuming g is positive.\n' | b'g**(-851/420)\n' | b'Simplify (g**(2/15))**(-16)/(g**1)**(-3/28) assuming g is positive.\n' | b'g**(-851/420)\n' | deepmind/math_dataset |
b'Simplify (g*g/(g**12*g)*g*(g**(-5/6)/g)/g*g*g*g**7*(g/(g/(g/g**(2/13)))*g*g)/g)**32 assuming g is positive.\n' | b'g**(-2480/39)\n' | b'Simplify (g*g/(g**12*g)*g*(g**(-5/6)/g)/g*g*g*g**7*(g/(g/(g/g**(2/13)))*g*g)/g)**32 assuming g is positive.\n' | b'g**(-2480/39)\n' | deepmind/math_dataset |
b'Let p = -5 - -9. Suppose 3*y - 5*y = -4. Let d be ((-41)/4)/(y/(-8)). Solve c = 2*n + 13, c + 4*c - p*n = d for c.\n' | b'5\n' | b'Let p = -5 - -9. Suppose 3*y - 5*y = -4. Let d be ((-41)/4)/(y/(-8)). Solve c = 2*n + 13, c + 4*c - p*n = d for c.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkkkkkkkkkka.\n' | b'5/6\n' | b'Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkkkkkkkkkka.\n' | b'5/6\n' | deepmind/math_dataset |
b'Simplify (x*x**(2/7)*x*x)/x**(-26) assuming x is positive.\n' | b'x**(205/7)\n' | b'Simplify (x*x**(2/7)*x*x)/x**(-26) assuming x is positive.\n' | b'x**(205/7)\n' | deepmind/math_dataset |
b'What is the first derivative of -55*d**4 + 5*d - 533 - 180*d**4 - 8*d - 144 wrt d?\n' | b'-940*d**3 - 3\n' | b'What is the first derivative of -55*d**4 + 5*d - 533 - 180*d**4 - 8*d - 144 wrt d?\n' | b'-940*d**3 - 3\n' | deepmind/math_dataset |
b'Let h be (-7)/(-1)*30/35. Let p be 12*(h/9)/2. What is the second derivative of -2*w**5 - 6*w + 3*w**5 + p*w wrt w?\n' | b'20*w**3\n' | b'Let h be (-7)/(-1)*30/35. Let p be 12*(h/9)/2. What is the second derivative of -2*w**5 - 6*w + 3*w**5 + p*w wrt w?\n' | b'20*w**3\n' | deepmind/math_dataset |
b'Let b(k) be the first derivative of 0*k**3 + 11 + 0*k**4 + 2/5*k**5 + 19/2*k**2 + 0*k. What is the second derivative of b(s) wrt s?\n' | b'24*s**2\n' | b'Let b(k) be the first derivative of 0*k**3 + 11 + 0*k**4 + 2/5*k**5 + 19/2*k**2 + 0*k. What is the second derivative of b(s) wrt s?\n' | b'24*s**2\n' | deepmind/math_dataset |
b'Let i(x) = x**3 + 36*x**2 - 42*x - 178. Let y be i(-37). Suppose -8 = -2*s - 0. Solve -y = 3*l + 2*b, 2*l - 6 + 0 = -s*b for l.\n' | b'-5\n' | b'Let i(x) = x**3 + 36*x**2 - 42*x - 178. Let y be i(-37). Suppose -8 = -2*s - 0. Solve -y = 3*l + 2*b, 2*l - 6 + 0 = -s*b for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l be (-2)/(-6) + 780/36. Let n = l + -11. Solve -4*s = -8*s - 3*y - n, -s = 3*y + 5 for s.\n' | b'-2\n' | b'Let l be (-2)/(-6) + 780/36. Let n = l + -11. Solve -4*s = -8*s - 3*y - n, -s = 3*y + 5 for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(n) = -3*n - 2. Let j(r) be the second derivative of -r**6/30 + 2*r**3/3 + r**2 - r. Let k(y) = 4*g(y) + 3*j(y). What is the derivative of k(h) wrt h?\n' | b'-12*h**3\n' | b'Let g(n) = -3*n - 2. Let j(r) be the second derivative of -r**6/30 + 2*r**3/3 + r**2 - r. Let k(y) = 4*g(y) + 3*j(y). What is the derivative of k(h) wrt h?\n' | b'-12*h**3\n' | deepmind/math_dataset |
b'Simplify (k/k**4*k*k/(k*k*k**(-2))*k**(-1/3)/k**(5/6))**(-49) assuming k is positive.\n' | b'k**(637/6)\n' | b'Simplify (k/k**4*k*k/(k*k*k**(-2))*k**(-1/3)/k**(5/6))**(-49) assuming k is positive.\n' | b'k**(637/6)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xydxyyvyq. Give prob of sequence qydy.\n' | b'1/252\n' | b'Four letters picked without replacement from xydxyyvyq. Give prob of sequence qydy.\n' | b'1/252\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from {r: 4, q: 3, f: 1, h: 4, l: 4}?\n' | b'1/40\n' | b'What is prob of picking 2 q when two letters picked without replacement from {r: 4, q: 3, f: 1, h: 4, l: 4}?\n' | b'1/40\n' | deepmind/math_dataset |
b'Let o(u) = 5*u + 72. Let x be o(-14). Let p(n) = -4*n**3 - 9*n**2 + 2*n - 4. Let s(t) = 3*t**3 + 8*t**2 - 2*t + 3. Let v(b) = 5*p(b) + 6*s(b). What is v(x)?\n' | b'-10\n' | b'Let o(u) = 5*u + 72. Let x be o(-14). Let p(n) = -4*n**3 - 9*n**2 + 2*n - 4. Let s(t) = 3*t**3 + 8*t**2 - 2*t + 3. Let v(b) = 5*p(b) + 6*s(b). What is v(x)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let i = 49 - 47. What is the third derivative of -3*x**i + 26*x**3 - 23*x**2 + 3*x**2 - 66*x**3 wrt x?\n' | b'-240\n' | b'Let i = 49 - 47. What is the third derivative of -3*x**i + 26*x**3 - 23*x**2 + 3*x**2 - 66*x**3 wrt x?\n' | b'-240\n' | deepmind/math_dataset |
b'Let m = 98 - 64. Suppose m*v + 20 = 38*v. Solve v*y + 6 = -14, 0 = 5*f - y + 21 for f.\n' | b'-5\n' | b'Let m = 98 - 64. Suppose m*v + 20 = 38*v. Solve v*y + 6 = -14, 0 = 5*f - y + 21 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w be -6*3/(-27)*3. Suppose -w*q - 2 = -10. Solve -3*h - h + 4 = 4*v, 4*h = q for v.\n' | b'0\n' | b'Let w be -6*3/(-27)*3. Suppose -w*q - 2 = -10. Solve -3*h - h + 4 = 4*v, 4*h = q for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(m) = 7*m - 4. Let v = 175 - 109. Let g = 59 - v. Determine u(g).\n' | b'-53\n' | b'Let u(m) = 7*m - 4. Let v = 175 - 109. Let g = 59 - v. Determine u(g).\n' | b'-53\n' | deepmind/math_dataset |
b'Let r be 1*((-158)/(-711) - (-50)/18). Let o(f) = f**3 - 19*f + 18. Calculate o(r).\n' | b'-12\n' | b'Let r be 1*((-158)/(-711) - (-50)/18). Let o(f) = f**3 - 19*f + 18. Calculate o(r).\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -3*n - 4 + 31 = 2*i, 3*i = -2*n + 23. Suppose -4*z - 6 = -n*z. Let u(w) = 8*w. Calculate u(z).\n' | b'16\n' | b'Suppose -3*n - 4 + 31 = 2*i, 3*i = -2*n + 23. Suppose -4*z - 6 = -n*z. Let u(w) = 8*w. Calculate u(z).\n' | b'16\n' | deepmind/math_dataset |
b'Let j(x) = 3*x + 5*x - 61 - 48 + 0*x + 121. What is j(6)?\n' | b'60\n' | b'Let j(x) = 3*x + 5*x - 61 - 48 + 0*x + 121. What is j(6)?\n' | b'60\n' | deepmind/math_dataset |
b'Simplify d*d**11*d**(1/2)/d assuming d is positive.\n' | b'd**(23/2)\n' | b'Simplify d*d**11*d**(1/2)/d assuming d is positive.\n' | b'd**(23/2)\n' | deepmind/math_dataset |
b'Let t(y) = y**2 - 4. Let g(k) = -k**3 - 6*k**2 - k - 3. Let i be 4/14 + (-176)/28. Let w be g(i). Let s be t(w). Solve -3*f - 4*o = f + 20, s*f = o - 19 for f.\n' | b'-4\n' | b'Let t(y) = y**2 - 4. Let g(k) = -k**3 - 6*k**2 - k - 3. Let i be 4/14 + (-176)/28. Let w be g(i). Let s be t(w). Solve -3*f - 4*o = f + 20, s*f = o - 19 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 2 r when four letters picked without replacement from {f: 1, n: 3, r: 6, l: 2}.\n' | b'1/11\n' | b'Calculate prob of picking 2 n and 2 r when four letters picked without replacement from {f: 1, n: 3, r: 6, l: 2}.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let a(y) be the third derivative of -y**4/24 - 2*y**3/3 + y**2. Let f be a(-8). Find the second derivative of -4*d**4 + 2*d - 4*d + d**f - 3*d wrt d.\n' | b'-36*d**2\n' | b'Let a(y) be the third derivative of -y**4/24 - 2*y**3/3 + y**2. Let f be a(-8). Find the second derivative of -4*d**4 + 2*d - 4*d + d**f - 3*d wrt d.\n' | b'-36*d**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 k when two letters picked without replacement from jmmjjjjejjokejjj?\n' | b'1/120\n' | b'What is prob of picking 1 o and 1 k when two letters picked without replacement from jmmjjjjejjokejjj?\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify (v*v*v**(-1/6)*v**(3/8))/(v**(-1/4))**26 assuming v is positive.\n' | b'v**(209/24)\n' | b'Simplify (v*v*v**(-1/6)*v**(3/8))/(v**(-1/4))**26 assuming v is positive.\n' | b'v**(209/24)\n' | deepmind/math_dataset |
b'Let m = -4 - -2. Let g be ((-3)/4)/(m/8). Solve 2*b = -2*u + 1 - 5, 5*b = -g*u - 4 for b.\n' | b'1\n' | b'Let m = -4 - -2. Let g be ((-3)/4)/(m/8). Solve 2*b = -2*u + 1 - 5, 5*b = -g*u - 4 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let x be (6/8)/((-1)/4). Let m = x - -1. Let c(d) = -5*d**2 - 3*d + 3. Let u(j) = 14*j**2 + 8*j - 8. Let a(i) = 8*c(i) + 3*u(i). Calculate a(m).\n' | b'8\n' | b'Let x be (6/8)/((-1)/4). Let m = x - -1. Let c(d) = -5*d**2 - 3*d + 3. Let u(j) = 14*j**2 + 8*j - 8. Let a(i) = 8*c(i) + 3*u(i). Calculate a(m).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 i when two letters picked without replacement from ipsibphs?\n' | b'1/14\n' | b'What is prob of picking 1 b and 1 i when two letters picked without replacement from ipsibphs?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((w**(-1/2)/w*w)**(1/12)/(((w/w**(-3/4)*w)/w)/(w/(w*w*w*(w*w**(-1))/w*w*w)*w)))**20 assuming w is positive.\n' | b'w**(-455/6)\n' | b'Simplify ((w**(-1/2)/w*w)**(1/12)/(((w/w**(-3/4)*w)/w)/(w/(w*w*w*(w*w**(-1))/w*w*w)*w)))**20 assuming w is positive.\n' | b'w**(-455/6)\n' | deepmind/math_dataset |
b'Simplify (v**(2/5))**(-8/5)*v/(v/(v*v**(-1/2)*v))*v**(-3)*(((v*v**(-1/10))/v)/v**(-2/3))**(3/34) assuming v is positive.\n' | b'v**(-209/100)\n' | b'Simplify (v**(2/5))**(-8/5)*v/(v/(v*v**(-1/2)*v))*v**(-3)*(((v*v**(-1/10))/v)/v**(-2/3))**(3/34) assuming v is positive.\n' | b'v**(-209/100)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tkgmkkj. What is prob of picking 1 t and 2 k?\n' | b'3/35\n' | b'Three letters picked without replacement from tkgmkkj. What is prob of picking 1 t and 2 k?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let x(g) be the first derivative of 3*g**2/2 - g - 3. Let r be x(1). Solve i + 11 = -5*s, 3*s + 4*i = r + 5 for s.\n' | b'-3\n' | b'Let x(g) be the first derivative of 3*g**2/2 - g - 3. Let r be x(1). Solve i + 11 = -5*s, 3*s + 4*i = r + 5 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((j*j**0)/j**(-5/4))/((j**(-8)/j)/j*j**(-1)))/((j**3/j**(1/12))/((j/(((j**(-1)*j)/j*j)/j))/(j*j**(-2)))) assuming j is positive.\n' | b'j**(40/3)\n' | b'Simplify (((j*j**0)/j**(-5/4))/((j**(-8)/j)/j*j**(-1)))/((j**3/j**(1/12))/((j/(((j**(-1)*j)/j*j)/j))/(j*j**(-2)))) assuming j is positive.\n' | b'j**(40/3)\n' | deepmind/math_dataset |
b'Let h(n) = -235*n**2 - 59*n + 21. Let r(t) = -233*t**2 - 57*t + 18. Let y(s) = 6*h(s) - 7*r(s). Find the second derivative of y(k) wrt k.\n' | b'442\n' | b'Let h(n) = -235*n**2 - 59*n + 21. Let r(t) = -233*t**2 - 57*t + 18. Let y(s) = 6*h(s) - 7*r(s). Find the second derivative of y(k) wrt k.\n' | b'442\n' | deepmind/math_dataset |
b'Let u be (-4 - 0 - 0) + 37. Let d(z) = 2 + u*z + z**2 - 4*z - 12*z. Let p be d(-17). Let g(t) = t**2 - t + 2. Determine g(p).\n' | b'4\n' | b'Let u be (-4 - 0 - 0) + 37. Let d(z) = 2 + u*z + z**2 - 4*z - 12*z. Let p be d(-17). Let g(t) = t**2 - t + 2. Determine g(p).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vkavavkakkvaka. What is prob of sequence akaa?\n' | b'25/2002\n' | b'Four letters picked without replacement from vkavavkakkvaka. What is prob of sequence akaa?\n' | b'25/2002\n' | deepmind/math_dataset |
b'Let o = -2 + 9. Suppose 2*v - v - o = 0. Solve -t + 5 = 3*k - 3*t, -5*k + 2*t = -v for k.\n' | b'1\n' | b'Let o = -2 + 9. Suppose 2*v - v - o = 0. Solve -t + 5 = 3*k - 3*t, -5*k + 2*t = -v for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let i = 3 - 1. Let b = 0 + 1. What is the derivative of -i*z - 1 + 0*z - b wrt z?\n' | b'-2\n' | b'Let i = 3 - 1. Let b = 0 + 1. What is the derivative of -i*z - 1 + 0*z - b wrt z?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llllaljlllalll. What is prob of picking 1 a and 1 l?\n' | b'22/91\n' | b'Two letters picked without replacement from llllaljlllalll. What is prob of picking 1 a and 1 l?\n' | b'22/91\n' | deepmind/math_dataset |
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