question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let a(s) = -s**3 - 9*s**2 - 2*s - 20. Suppose -17*t + 270 = -31*t - 16*t. Give a(t).\n' | b'-2\n' | b'Let a(s) = -s**3 - 9*s**2 - 2*s - 20. Suppose -17*t + 270 = -31*t - 16*t. Give a(t).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (q/(q/(q*q**(4/7))))/q**(3/4)*(q*q/(q**(1/3)*q))**(-2/69) assuming q is positive.\n' | b'q**(4649/5796)\n' | b'Simplify (q/(q/(q*q**(4/7))))/q**(3/4)*(q*q/(q**(1/3)*q))**(-2/69) assuming q is positive.\n' | b'q**(4649/5796)\n' | deepmind/math_dataset |
b'Let q = -49 + 47. Let t(d) = 1. Let o(b) = 2*b - 12. Let v(p) = -o(p) - 10*t(p). Determine v(q).\n' | b'6\n' | b'Let q = -49 + 47. Let t(d) = 1. Let o(b) = 2*b - 12. Let v(p) = -o(p) - 10*t(p). Determine v(q).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 5*g = 3*u - 30, 6*u - g = 3*u + 18. What is the third derivative of 12*d**5 + 8*d**2 - 22*d**u + 8*d**5 wrt d?\n' | b'-120*d**2\n' | b'Suppose 5*g = 3*u - 30, 6*u - g = 3*u + 18. What is the third derivative of 12*d**5 + 8*d**2 - 22*d**u + 8*d**5 wrt d?\n' | b'-120*d**2\n' | deepmind/math_dataset |
b'Suppose 45 = -t - 5*m, 18 = -2*t + 2*m - 36. Suppose 13*u = 93 + 11. Let s be (-12)/5*2/(u/t). Solve -33 = 5*k + 2*o + 2*o, 0 = 2*k + 4*o + s for k.\n' | b'-5\n' | b'Suppose 45 = -t - 5*m, 18 = -2*t + 2*m - 36. Suppose 13*u = 93 + 11. Let s be (-12)/5*2/(u/t). Solve -33 = 5*k + 2*o + 2*o, 0 = 2*k + 4*o + s for k.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 y when two letters picked without replacement from {i: 1, t: 1, y: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 t and 1 y when two letters picked without replacement from {i: 1, t: 1, y: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let y(j) be the first derivative of -j**3/3 + 5*j**2/2 + 8*j - 4. Let q be y(6). What is the first derivative of 12*i**2 - 1 - 12*i**q - i**4 wrt i?\n' | b'-4*i**3\n' | b'Let y(j) be the first derivative of -j**3/3 + 5*j**2/2 + 8*j - 4. Let q be y(6). What is the first derivative of 12*i**2 - 1 - 12*i**q - i**4 wrt i?\n' | b'-4*i**3\n' | deepmind/math_dataset |
b'Let w(t) = -1. Let i(k) = -7*k**2 + 14*k + 403. Let g(d) = i(d) - w(d). Find the first derivative of g(x) wrt x.\n' | b'-14*x + 14\n' | b'Let w(t) = -1. Let i(k) = -7*k**2 + 14*k + 403. Let g(d) = i(d) - w(d). Find the first derivative of g(x) wrt x.\n' | b'-14*x + 14\n' | deepmind/math_dataset |
b'Let f(x) be the second derivative of -x**5/20 + x**4/6 - x**3/3 - x**2/2 + 19*x. Suppose 0 = 3*g + 5*a + 11, -4*g - 8 = -0*g + 5*a. What is f(g)?\n' | b'-16\n' | b'Let f(x) be the second derivative of -x**5/20 + x**4/6 - x**3/3 - x**2/2 + 19*x. Suppose 0 = 3*g + 5*a + 11, -4*g - 8 = -0*g + 5*a. What is f(g)?\n' | b'-16\n' | deepmind/math_dataset |
b'Suppose 0*u = 4*u - 48. Let i be (3 + (-56)/u)/((-1)/3). Solve 19 = -i*d + r, 4 = -0*d - 4*d - 2*r for d.\n' | b'-3\n' | b'Suppose 0*u = 4*u - 48. Let i be (3 + (-56)/u)/((-1)/3). Solve 19 = -i*d + r, 4 = -0*d - 4*d - 2*r for d.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {h: 9}?\n' | b'1\n' | b'What is prob of picking 2 h when two letters picked without replacement from {h: 9}?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjaajajjaa. Give prob of sequence jjja.\n' | b'5/84\n' | b'Four letters picked without replacement from jjaajajjaa. Give prob of sequence jjja.\n' | b'5/84\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 5}. Give prob of picking 2 w.\n' | b'1\n' | b'Two letters picked without replacement from {w: 5}. Give prob of picking 2 w.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ttttttsht. Give prob of picking 1 h and 2 t.\n' | b'1/4\n' | b'Three letters picked without replacement from ttttttsht. Give prob of picking 1 h and 2 t.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let y(j) be the third derivative of -j**5/60 + j**4/24 - j**3 - 38*j**2. Calculate y(0).\n' | b'-6\n' | b'Let y(j) be the third derivative of -j**5/60 + j**4/24 - j**3 - 38*j**2. Calculate y(0).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 0 = 3*v + v + 16. Let c(d) = 4*d**2 - 6*d - 3*d**2 - 5 + 4 - 2*d**2. Determine c(v).\n' | b'7\n' | b'Suppose 0 = 3*v + v + 16. Let c(d) = 4*d**2 - 6*d - 3*d**2 - 5 + 4 - 2*d**2. Determine c(v).\n' | b'7\n' | deepmind/math_dataset |
b'Let c(h) be the first derivative of h**3/3 + 7*h**2/2 - 9*h - 139. What is c(-6)?\n' | b'-15\n' | b'Let c(h) be the first derivative of h**3/3 + 7*h**2/2 - 9*h - 139. What is c(-6)?\n' | b'-15\n' | deepmind/math_dataset |
b'Let y(l) be the second derivative of -2139*l**5/20 - 827*l**2 - 52*l - 11. What is the derivative of y(j) wrt j?\n' | b'-6417*j**2\n' | b'Let y(l) be the second derivative of -2139*l**5/20 - 827*l**2 - 52*l - 11. What is the derivative of y(j) wrt j?\n' | b'-6417*j**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 i when three letters picked without replacement from iizi?\n' | b'3/4\n' | b'What is prob of picking 1 z and 2 i when three letters picked without replacement from iizi?\n' | b'3/4\n' | deepmind/math_dataset |
b'Suppose -13*p = -18*p + 20. What is the derivative of -8*t**4 + 12*t**4 + 17 + 3*t**p wrt t?\n' | b'28*t**3\n' | b'Suppose -13*p = -18*p + 20. What is the derivative of -8*t**4 + 12*t**4 + 17 + 3*t**p wrt t?\n' | b'28*t**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ekzl when four letters picked without replacement from {a: 8, k: 1, i: 4, e: 1, z: 4, l: 2}.\n' | b'1/14535\n' | b'Calculate prob of sequence ekzl when four letters picked without replacement from {a: 8, k: 1, i: 4, e: 1, z: 4, l: 2}.\n' | b'1/14535\n' | deepmind/math_dataset |
b'Let k(n) = -n**2 - 18*n - 22. Let x(c) = 9*c + 56. Let u be x(-8). What is k(u)?\n' | b'10\n' | b'Let k(n) = -n**2 - 18*n - 22. Let x(c) = 9*c + 56. Let u be x(-8). What is k(u)?\n' | b'10\n' | deepmind/math_dataset |
b'Let g be ((-48)/(-40))/((-2)/(-20)*3). What is the second derivative of -886*a**g - 3*a**3 + 23*a - 8*a**5 + 886*a**4 wrt a?\n' | b'-160*a**3 - 18*a\n' | b'Let g be ((-48)/(-40))/((-2)/(-20)*3). What is the second derivative of -886*a**g - 3*a**3 + 23*a - 8*a**5 + 886*a**4 wrt a?\n' | b'-160*a**3 - 18*a\n' | deepmind/math_dataset |
b'Two letters picked without replacement from clqubtl. Give prob of picking 1 u and 1 q.\n' | b'1/21\n' | b'Two letters picked without replacement from clqubtl. Give prob of picking 1 u and 1 q.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 5*k - 3*s = -43 + 244, -152 = -4*k - 2*s. Find the second derivative of -26*d**2 - k*d - 2*d**2 + 0*d**2 - 4 - 6*d**2 - 31*d**2 wrt d.\n' | b'-130\n' | b'Suppose 5*k - 3*s = -43 + 244, -152 = -4*k - 2*s. Find the second derivative of -26*d**2 - k*d - 2*d**2 + 0*d**2 - 4 - 6*d**2 - 31*d**2 wrt d.\n' | b'-130\n' | deepmind/math_dataset |
b'Let d(h) = 20*h - 7. Let z(x) = -7*x + 3. Let w(i) = 4*d(i) + 11*z(i). What is w(-5)?\n' | b'-10\n' | b'Let d(h) = 20*h - 7. Let z(x) = -7*x + 3. Let w(i) = 4*d(i) + 11*z(i). What is w(-5)?\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify ((z*z**(1/6)*z)/(z*z*z/z**(2/19)*z))/(z**2)**5 assuming z is positive.\n' | b'z**(-1337/114)\n' | b'Simplify ((z*z**(1/6)*z)/(z*z*z/z**(2/19)*z))/(z**2)**5 assuming z is positive.\n' | b'z**(-1337/114)\n' | deepmind/math_dataset |
b'Suppose -2*d + 5*k = -40 + 11, -16 = 2*d + 4*k. Solve -3*a + i + i = d, i - 2 = a for a.\n' | b'2\n' | b'Suppose -2*d + 5*k = -40 + 11, -16 = 2*d + 4*k. Solve -3*a + i + i = d, i - 2 = a for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let r(p) = -15*p**3 + 3*p**2 - 6*p. Let u(o) = 13*o**3 - 3*o**2 + 4*o. Let k(t) = -3*r(t) - 4*u(t). Calculate k(-1).\n' | b'8\n' | b'Let r(p) = -15*p**3 + 3*p**2 - 6*p. Let u(o) = 13*o**3 - 3*o**2 + 4*o. Let k(t) = -3*r(t) - 4*u(t). Calculate k(-1).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify x**(1/2)*x*x*x**(4/7)*x*x**(-1/10)/(x*x**(1/9)*x) assuming x is positive.\n' | b'x**(586/315)\n' | b'Simplify x**(1/2)*x*x*x**(4/7)*x*x**(-1/10)/(x*x**(1/9)*x) assuming x is positive.\n' | b'x**(586/315)\n' | deepmind/math_dataset |
b'Let p(h) = 2 - 6 + 0*h + 0*h - h - h**3. Calculate p(0).\n' | b'-4\n' | b'Let p(h) = 2 - 6 + 0*h + 0*h - h - h**3. Calculate p(0).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 91 = 5*y - 4*r, -11*y + 4*r = -12*y - 1. Suppose -y*q = -19 - 71. Let o(g) = -g**3 + 4*g**2 + 5*g + 3. What is o(q)?\n' | b'-39\n' | b'Suppose 91 = 5*y - 4*r, -11*y + 4*r = -12*y - 1. Suppose -y*q = -19 - 71. Let o(g) = -g**3 + 4*g**2 + 5*g + 3. What is o(q)?\n' | b'-39\n' | deepmind/math_dataset |
b'Suppose 2*d = -2*b - 2*b - 30, b + 3 = -5*d. Let w be (8 + b)*2/4. Find the second derivative of 6*z**5 - 9*z - 9*z**5 + w*z**2 + 0*z**2 wrt z.\n' | b'-60*z**3\n' | b'Suppose 2*d = -2*b - 2*b - 30, b + 3 = -5*d. Let w be (8 + b)*2/4. Find the second derivative of 6*z**5 - 9*z - 9*z**5 + w*z**2 + 0*z**2 wrt z.\n' | b'-60*z**3\n' | deepmind/math_dataset |
b'Let s(i) = i**2 + 194*i + 2189. Let o be s(-12). Solve 358*x - 356*x + g = -2, -4*g = o*x + 11 for x.\n' | b'1\n' | b'Let s(i) = i**2 + 194*i + 2189. Let o be s(-12). Solve 358*x - 356*x + g = -2, -4*g = o*x + 11 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hz when two letters picked without replacement from zhzbkhbzz.\n' | b'1/9\n' | b'Calculate prob of sequence hz when two letters picked without replacement from zhzbkhbzz.\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify (c/(c/(c**(1/6)/c*c))*c)**(1/26)/(c**(2/55)/(c*(c/c**(-23))/c)) assuming c is positive.\n' | b'c**(205993/8580)\n' | b'Simplify (c/(c/(c**(1/6)/c*c))*c)**(1/26)/(c**(2/55)/(c*(c/c**(-23))/c)) assuming c is positive.\n' | b'c**(205993/8580)\n' | deepmind/math_dataset |
b'What is the second derivative of -281*x**4 + 292*x**4 + 3*x + 4*x wrt x?\n' | b'132*x**2\n' | b'What is the second derivative of -281*x**4 + 292*x**4 + 3*x + 4*x wrt x?\n' | b'132*x**2\n' | deepmind/math_dataset |
b'Let f(i) = -6*i**2 + 8*i + 51 + 58 + i**3 - 115. Let c be f(5). Solve 2*g = 8, -1 = u - 3*g + c for u.\n' | b'2\n' | b'Let f(i) = -6*i**2 + 8*i + 51 + 58 + i**3 - 115. Let c be f(5). Solve 2*g = 8, -1 = u - 3*g + c for u.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence wozz when four letters picked without replacement from zkozzwzkowwwzzk.\n' | b'2/273\n' | b'Calculate prob of sequence wozz when four letters picked without replacement from zkozzwzkowwwzzk.\n' | b'2/273\n' | deepmind/math_dataset |
b'Simplify ((m/(m**7/m*m)*m)/((m/((m**7*m)/m))/m))**(-4/11)*((m*m*m**(-2)*m)/m)**22/(m*m**(-4)*m**(-4/3)) assuming m is positive.\n' | b'm**(119/33)\n' | b'Simplify ((m/(m**7/m*m)*m)/((m/((m**7*m)/m))/m))**(-4/11)*((m*m*m**(-2)*m)/m)**22/(m*m**(-4)*m**(-4/3)) assuming m is positive.\n' | b'm**(119/33)\n' | deepmind/math_dataset |
b'Let w(k) = -k**3 + 2*k**2 + 3*k + 1. Let x be 2/(-2*1)*2. Let d = x + 5. Suppose -d*v = 3 - 12. Give w(v).\n' | b'1\n' | b'Let w(k) = -k**3 + 2*k**2 + 3*k + 1. Let x be 2/(-2*1)*2. Let d = x + 5. Suppose -d*v = 3 - 12. Give w(v).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from noffobv. Give prob of picking 2 f.\n' | b'1/21\n' | b'Two letters picked without replacement from noffobv. Give prob of picking 2 f.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 2 g, and 1 o when four letters picked without replacement from ggpaopgaga?\n' | b'3/35\n' | b'What is prob of picking 1 a, 2 g, and 1 o when four letters picked without replacement from ggpaopgaga?\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of sequence lmma when four letters picked without replacement from {l: 8, a: 1, m: 10}?\n' | b'5/646\n' | b'What is prob of sequence lmma when four letters picked without replacement from {l: 8, a: 1, m: 10}?\n' | b'5/646\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 2 s when three letters picked without replacement from {m: 4, f: 1, a: 4, x: 3, k: 2, s: 6}?\n' | b'3/76\n' | b'What is prob of picking 1 x and 2 s when three letters picked without replacement from {m: 4, f: 1, a: 4, x: 3, k: 2, s: 6}?\n' | b'3/76\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 4, a: 4, w: 4, j: 3}. Give prob of sequence aww.\n' | b'8/455\n' | b'Three letters picked without replacement from {e: 4, a: 4, w: 4, j: 3}. Give prob of sequence aww.\n' | b'8/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence ojof when four letters picked without replacement from qoqjtftottqotttqotjt.\n' | b'1/4845\n' | b'Calculate prob of sequence ojof when four letters picked without replacement from qoqjtftottqotttqotjt.\n' | b'1/4845\n' | deepmind/math_dataset |
b'Let h be (-10)/(-3)*12/8 - 0. Solve 0 = -m - 3*n + 5*n + 10, 25 = -5*m - h*n for m.\n' | b'0\n' | b'Let h be (-10)/(-3)*12/8 - 0. Solve 0 = -m - 3*n + 5*n + 10, 25 = -5*m - h*n for m.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, r: 1, s: 6, a: 7}. What is prob of sequence ar?\n' | b'7/306\n' | b'Two letters picked without replacement from {t: 4, r: 1, s: 6, a: 7}. What is prob of sequence ar?\n' | b'7/306\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from {a: 4, x: 3, t: 1}.\n' | b'3/28\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from {a: 4, x: 3, t: 1}.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify ((x**(-2/11)/x)**(-3/5))**(-49) assuming x is positive.\n' | b'x**(-1911/55)\n' | b'Simplify ((x**(-2/11)/x)**(-3/5))**(-49) assuming x is positive.\n' | b'x**(-1911/55)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from duuuuuduuddd. Give prob of picking 1 u and 1 d.\n' | b'35/66\n' | b'Two letters picked without replacement from duuuuuduuddd. Give prob of picking 1 u and 1 d.\n' | b'35/66\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {r: 4, n: 6}?\n' | b'1/3\n' | b'What is prob of sequence nn when two letters picked without replacement from {r: 4, n: 6}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 7, x: 3, v: 2, e: 5, u: 3}. Give prob of sequence xue.\n' | b'1/152\n' | b'Three letters picked without replacement from {k: 7, x: 3, v: 2, e: 5, u: 3}. Give prob of sequence xue.\n' | b'1/152\n' | deepmind/math_dataset |
b'Let x(t) be the third derivative of 25*t**5/12 + 35*t**3/3 + 64*t**2. Find the first derivative of x(q) wrt q.\n' | b'250*q\n' | b'Let x(t) be the third derivative of 25*t**5/12 + 35*t**3/3 + 64*t**2. Find the first derivative of x(q) wrt q.\n' | b'250*q\n' | deepmind/math_dataset |
b'What is the second derivative of -77*g**2 - 3*g**4 + 12*g**4 + 41 - 6*g + 7*g - 31 wrt g?\n' | b'108*g**2 - 154\n' | b'What is the second derivative of -77*g**2 - 3*g**4 + 12*g**4 + 41 - 6*g + 7*g - 31 wrt g?\n' | b'108*g**2 - 154\n' | deepmind/math_dataset |
b'Let v(q) be the first derivative of q**3/3 - 5*q**2/2 - 3*q - 179. Calculate v(6).\n' | b'3\n' | b'Let v(q) be the first derivative of q**3/3 - 5*q**2/2 - 3*q - 179. Calculate v(6).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 5*t = -s - 5, 3*t - 52 = -4*s - 21. Solve 45 = -4*p - 5*c, -4*p + 2*c - s = -0*c for p.\n' | b'-5\n' | b'Suppose 5*t = -s - 5, 3*t - 52 = -4*s - 21. Solve 45 = -4*p - 5*c, -4*p + 2*c - s = -0*c for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i = -2 - -5. Suppose y - 8 = -5. Find the third derivative of y*q**2 - q**i - 2*q**2 - 2*q**2 wrt q.\n' | b'-6\n' | b'Let i = -2 - -5. Suppose y - 8 = -5. Find the third derivative of y*q**2 - q**i - 2*q**2 - 2*q**2 wrt q.\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -z - 29 = 3*l, 4*z - 184*l + 180*l = -36. Let c(i) = -i**2 - 13*i + 1. What is c(z)?\n' | b'-13\n' | b'Suppose -z - 29 = 3*l, 4*z - 184*l + 180*l = -36. Let c(i) = -i**2 - 13*i + 1. What is c(z)?\n' | b'-13\n' | deepmind/math_dataset |
b'Calculate prob of sequence qs when two letters picked without replacement from qssqs.\n' | b'3/10\n' | b'Calculate prob of sequence qs when two letters picked without replacement from qssqs.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify ((r*r*r/(r**(1/3)/r*r))**(-1/30))**(-35) assuming r is positive.\n' | b'r**(28/9)\n' | b'Simplify ((r*r*r/(r**(1/3)/r*r))**(-1/30))**(-35) assuming r is positive.\n' | b'r**(28/9)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 1 w, and 2 q when four letters picked without replacement from {k: 2, w: 3, q: 4, m: 2, j: 1}?\n' | b'4/55\n' | b'What is prob of picking 1 k, 1 w, and 2 q when four letters picked without replacement from {k: 2, w: 3, q: 4, m: 2, j: 1}?\n' | b'4/55\n' | deepmind/math_dataset |
b'Let j = 3 - -2. Suppose r - 1 = 4. Suppose -r*y + 10 = 5*t, y + j*t = 5 - 15. Let h(o) = -o**3 + 4*o**2 + 5*o - 2. Determine h(y).\n' | b'-2\n' | b'Let j = 3 - -2. Suppose r - 1 = 4. Suppose -r*y + 10 = 5*t, y + j*t = 5 - 15. Let h(o) = -o**3 + 4*o**2 + 5*o - 2. Determine h(y).\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(d) = 2*d**2 + 15*d + 35. Let l be (6 - 24/5) + (-2 - (-63)/(-15)). Determine j(l).\n' | b'10\n' | b'Let j(d) = 2*d**2 + 15*d + 35. Let l be (6 - 24/5) + (-2 - (-63)/(-15)). Determine j(l).\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ppjppjpppj. What is prob of sequence pjjj?\n' | b'1/120\n' | b'Four letters picked without replacement from ppjppjpppj. What is prob of sequence pjjj?\n' | b'1/120\n' | deepmind/math_dataset |
b'Suppose 3*b = -1 + 7. Let r(i) = i + 38. Let p be r(-17). Solve -b*g - 5*z = -p, 6 = z + 3 for g.\n' | b'3\n' | b'Suppose 3*b = -1 + 7. Let r(i) = i + 38. Let p be r(-17). Solve -b*g - 5*z = -p, 6 = z + 3 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (s**2*s*s*s**(-8))/(s**(-2/11)*s)**(-26) assuming s is positive.\n' | b's**(190/11)\n' | b'Simplify (s**2*s*s*s**(-8))/(s**(-2/11)*s)**(-26) assuming s is positive.\n' | b's**(190/11)\n' | deepmind/math_dataset |
b'What is prob of sequence iwb when three letters picked without replacement from ccpibiw?\n' | b'1/105\n' | b'What is prob of sequence iwb when three letters picked without replacement from ccpibiw?\n' | b'1/105\n' | deepmind/math_dataset |
b'Suppose -5*x = -2*x + 30. Let p = 14 + x. Suppose -5*h + 6 = -p. Solve 7*n - h*n + 3*a - 25 = 0, -n + 4*a = 18 for n.\n' | b'2\n' | b'Suppose -5*x = -2*x + 30. Let p = 14 + x. Suppose -5*h + 6 = -p. Solve 7*n - h*n + 3*a - 25 = 0, -n + 4*a = 18 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(o) = 4*o**3 + 3*o + 3. Let u be i(-2). Let z = u - -65. What is the derivative of -z + 0*c + 34 - 4*c wrt c?\n' | b'-4\n' | b'Let i(o) = 4*o**3 + 3*o + 3. Let u be i(-2). Let z = u - -65. What is the derivative of -z + 0*c + 34 - 4*c wrt c?\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 7}. Give prob of picking 4 f.\n' | b'1\n' | b'Four letters picked without replacement from {f: 7}. Give prob of picking 4 f.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(u) = 488292 - 5*u**2 - u + u**2 - 488292. Give d(-4).\n' | b'-60\n' | b'Let d(u) = 488292 - 5*u**2 - u + u**2 - 488292. Give d(-4).\n' | b'-60\n' | deepmind/math_dataset |
b'Simplify (h*(((h*(h*h**(-2/23))/h)/h*h*h)/h)/h*h*h/(h**(-9)*h)*(h*h*h*h**(-2/5))**(4/7))/(h**(-3/8)/h**(-9/5))**(7/9) assuming h is positive.\n' | b'h**(218131/19320)\n' | b'Simplify (h*(((h*(h*h**(-2/23))/h)/h*h*h)/h)/h*h*h/(h**(-9)*h)*(h*h*h*h**(-2/5))**(4/7))/(h**(-3/8)/h**(-9/5))**(7/9) assuming h is positive.\n' | b'h**(218131/19320)\n' | deepmind/math_dataset |
b'Suppose 190 = 6*c - c. Suppose -3 = -39*x + c*x. What is the second derivative of -8*v**3 + x*v + 6*v - 2*v**3 + 3*v wrt v?\n' | b'-60*v\n' | b'Suppose 190 = 6*c - c. Suppose -3 = -39*x + c*x. What is the second derivative of -8*v**3 + x*v + 6*v - 2*v**3 + 3*v wrt v?\n' | b'-60*v\n' | deepmind/math_dataset |
b'Calculate prob of sequence fsa when three letters picked without replacement from agqsqauqaqaqafqsfqaq.\n' | b'1/285\n' | b'Calculate prob of sequence fsa when three letters picked without replacement from agqsqauqaqaqafqsfqaq.\n' | b'1/285\n' | deepmind/math_dataset |
b'What is prob of sequence dj when two letters picked without replacement from qbdsdbdjqtq?\n' | b'3/110\n' | b'What is prob of sequence dj when two letters picked without replacement from qbdsdbdjqtq?\n' | b'3/110\n' | deepmind/math_dataset |
b'Let d(m) = -m**3 + 5*m**2 + 10*m - 20. Let b be d(6). Solve o - u = b*u, 4*u - 19 = -3*o for o.\n' | b'5\n' | b'Let d(m) = -m**3 + 5*m**2 + 10*m - 20. Let b be d(6). Solve o - u = b*u, 4*u - 19 = -3*o for o.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 1 + 4 = -5*v. Let u be (0 - (-1)/v) + 1. What is the derivative of -2 - p**2 + u + 0 wrt p?\n' | b'-2*p\n' | b'Suppose 1 + 4 = -5*v. Let u be (0 - (-1)/v) + 1. What is the derivative of -2 - p**2 + u + 0 wrt p?\n' | b'-2*p\n' | deepmind/math_dataset |
b'Let w(x) be the first derivative of -8*x**7/21 + x**4 + 7*x + 13. Let b(y) be the first derivative of w(y). Find the third derivative of b(g) wrt g.\n' | b'-960*g**2\n' | b'Let w(x) be the first derivative of -8*x**7/21 + x**4 + 7*x + 13. Let b(y) be the first derivative of w(y). Find the third derivative of b(g) wrt g.\n' | b'-960*g**2\n' | deepmind/math_dataset |
b'Let a(i) be the second derivative of i**3 + i**2/2 + 8*i. Determine a(-1).\n' | b'-5\n' | b'Let a(i) be the second derivative of i**3 + i**2/2 + 8*i. Determine a(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(a) be the second derivative of 0 + 4*a + 3/2*a**3 - 2*a**2. Find the first derivative of f(z) wrt z.\n' | b'9\n' | b'Let f(a) be the second derivative of 0 + 4*a + 3/2*a**3 - 2*a**2. Find the first derivative of f(z) wrt z.\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -2*r = -3*r + 2. Let y be (-300)/(-90) + 3*4/18. What is the second derivative of -b**2 - 5*b**r - 2*b + 2*b - y*b wrt b?\n' | b'-12\n' | b'Suppose -2*r = -3*r + 2. Let y be (-300)/(-90) + 3*4/18. What is the second derivative of -b**2 - 5*b**r - 2*b + 2*b - y*b wrt b?\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of sequence zy when two letters picked without replacement from zmmmymy.\n' | b'1/21\n' | b'Calculate prob of sequence zy when two letters picked without replacement from zmmmymy.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let d be (1/2)/((-12 - 1)/(-442)). Suppose -2*u + 3*t = -36, t + d = u - 1. Solve 0 = -k - 4*q - 11, 3*q + u = -6*k + 2*k for k.\n' | b'-3\n' | b'Let d be (1/2)/((-12 - 1)/(-442)). Suppose -2*u + 3*t = -36, t + d = u - 1. Solve 0 = -k - 4*q - 11, 3*q + u = -6*k + 2*k for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence epps when four letters picked without replacement from {e: 3, i: 7, s: 2, p: 3}.\n' | b'1/910\n' | b'Calculate prob of sequence epps when four letters picked without replacement from {e: 3, i: 7, s: 2, p: 3}.\n' | b'1/910\n' | deepmind/math_dataset |
b'Suppose -m - 603 = -5*y - 2*m, 2*y = 3*m + 231. What is the third derivative of 10*q**2 + 145*q**5 + 2*q**2 - 22*q**2 + y*q**5 wrt q?\n' | b'15900*q**2\n' | b'Suppose -m - 603 = -5*y - 2*m, 2*y = 3*m + 231. What is the third derivative of 10*q**2 + 145*q**5 + 2*q**2 - 22*q**2 + y*q**5 wrt q?\n' | b'15900*q**2\n' | deepmind/math_dataset |
b'Suppose -5*j = -j - 8. Let w(a) = a**j - 2*a**2 + a**3 + 0*a**2. Suppose 2*i - 1 = 3*z - 0*z, 5*z = 3*i - 1. Give w(i).\n' | b'4\n' | b'Suppose -5*j = -j - 8. Let w(a) = a**j - 2*a**2 + a**3 + 0*a**2. Suppose 2*i - 1 = 3*z - 0*z, 5*z = 3*i - 1. Give w(i).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = 80*y - 250 - 320 + 90. Solve s + y = 2*a, 10 = 16*a - 13*a - s for a.\n' | b'4\n' | b'Suppose 0 = 80*y - 250 - 320 + 90. Solve s + y = 2*a, 10 = 16*a - 13*a - s for a.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fwwfb. Give prob of picking 1 w and 1 f.\n' | b'2/5\n' | b'Two letters picked without replacement from fwwfb. Give prob of picking 1 w and 1 f.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify ((b/b**1)**(-8/7))**(-32)/((b**4*b)/b*b*b**(-2/3))**(-6/7) assuming b is positive.\n' | b'b**(26/7)\n' | b'Simplify ((b/b**1)**(-8/7))**(-32)/((b**4*b)/b*b*b**(-2/3))**(-6/7) assuming b is positive.\n' | b'b**(26/7)\n' | deepmind/math_dataset |
b'Simplify (l/(l**(-4)/l))**(-18)*(l**(-2/13))**(-45) assuming l is positive.\n' | b'l**(-1314/13)\n' | b'Simplify (l/(l**(-4)/l))**(-18)*(l**(-2/13))**(-45) assuming l is positive.\n' | b'l**(-1314/13)\n' | deepmind/math_dataset |
b'Suppose -280*i = -286*i + 78. Let m(t) = t**3 - 14*t**2 + 9*t. Calculate m(i).\n' | b'-52\n' | b'Suppose -280*i = -286*i + 78. Let m(t) = t**3 - 14*t**2 + 9*t. Calculate m(i).\n' | b'-52\n' | deepmind/math_dataset |
b'Differentiate -86 - 11 - 139*f**3 + 14 with respect to f.\n' | b'-417*f**2\n' | b'Differentiate -86 - 11 - 139*f**3 + 14 with respect to f.\n' | b'-417*f**2\n' | deepmind/math_dataset |
b'Let n be (0 + (1 - 2))/((-7)/35). Suppose 7*o + 5*x - 29 = n*o, -21 = -2*o + 3*x. Solve -4*u - 4 = u - i, -3*i + o = 0 for u.\n' | b'0\n' | b'Let n be (0 + (1 - 2))/((-7)/35). Suppose 7*o + 5*x - 29 = n*o, -21 = -2*o + 3*x. Solve -4*u - 4 = u - i, -3*i + o = 0 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (i*i**(1/11))/i*i/i**(-1/10)*((i/(i**(6/7)*i))/i)/i*i**(2/3) assuming i is positive.\n' | b'i**(-2309/2310)\n' | b'Simplify (i*i**(1/11))/i*i/i**(-1/10)*((i/(i**(6/7)*i))/i)/i*i**(2/3) assuming i is positive.\n' | b'i**(-2309/2310)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iieeeieeie. What is prob of sequence eeee?\n' | b'1/14\n' | b'Four letters picked without replacement from iieeeieeie. What is prob of sequence eeee?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let y = 18 + -16. Let h(c) = 10*c - 7*c**y - 3*c + 6*c**2. Give h(4).\n' | b'12\n' | b'Let y = 18 + -16. Let h(c) = 10*c - 7*c**y - 3*c + 6*c**2. Give h(4).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify (a**(3/5)/a**(-1/3))/((a**(3/4)/a)/a*a/a**0*a)*(a**5/a*a/a**(-4)*a)**(2/7) assuming a is positive.\n' | b'a**(1277/420)\n' | b'Simplify (a**(3/5)/a**(-1/3))/((a**(3/4)/a)/a*a/a**0*a)*(a**5/a*a/a**(-4)*a)**(2/7) assuming a is positive.\n' | b'a**(1277/420)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 z when two letters picked without replacement from wzzwwwwwrwrzzwrrw?\n' | b'2/17\n' | b'What is prob of picking 1 r and 1 z when two letters picked without replacement from wzzwwwwwrwrzzwrrw?\n' | b'2/17\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.