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 c(l) = 2*l**3 + 11*l**2 - 6*l + 4. Let g be c(-6). What is the first derivative of -19*k**g + 5 + 8 + 7*k**4 wrt k?\n' | b'-48*k**3\n' | b'Let c(l) = 2*l**3 + 11*l**2 - 6*l + 4. Let g be c(-6). What is the first derivative of -19*k**g + 5 + 8 + 7*k**4 wrt k?\n' | b'-48*k**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fqfffqqqffqfqfqf. What is prob of picking 1 q and 3 f?\n' | b'21/65\n' | b'Four letters picked without replacement from fqfffqqqffqfqfqf. What is prob of picking 1 q and 3 f?\n' | b'21/65\n' | deepmind/math_dataset |
b'Let r(o) = -2*o**3 - 10*o**2 - 2*o + 2. Suppose -26*k = -29*k + 12. Let m(f) = 3*f**3 + 11*f**2 + 3*f - 2. Let g(y) = k*r(y) + 3*m(y). Determine g(7).\n' | b'9\n' | b'Let r(o) = -2*o**3 - 10*o**2 - 2*o + 2. Suppose -26*k = -29*k + 12. Let m(f) = 3*f**3 + 11*f**2 + 3*f - 2. Let g(y) = k*r(y) + 3*m(y). Determine g(7).\n' | b'9\n' | deepmind/math_dataset |
b'Let g(b) = b**2 + 3*b - 6. Let p = 0 - 5. Let c be g(p). Suppose 4*t = 5*t - c. Solve -l + 2*l + 25 = t*h, 0 = -5*h + 2*l + 35 for h.\n' | b'5\n' | b'Let g(b) = b**2 + 3*b - 6. Let p = 0 - 5. Let c be g(p). Suppose 4*t = 5*t - c. Solve -l + 2*l + 25 = t*h, 0 = -5*h + 2*l + 35 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((h**(-4/3)/(h*h*h*h**7))/(h*h*h/(h/h**1)*h**(2/29)/h))**(1/6) assuming h is positive.\n' | b'h**(-583/261)\n' | b'Simplify ((h**(-4/3)/(h*h*h*h**7))/(h*h*h/(h/h**1)*h**(2/29)/h))**(1/6) assuming h is positive.\n' | b'h**(-583/261)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 2, a: 4, n: 2}. What is prob of sequence gnan?\n' | b'1/105\n' | b'Four letters picked without replacement from {g: 2, a: 4, n: 2}. What is prob of sequence gnan?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let n(r) = -2*r**2 + 20*r + 4. Let j be n(10). What is the first derivative of 2*s**2 - 10*s**2 + 4 + 2*s**2 - j*s**2 wrt s?\n' | b'-20*s\n' | b'Let n(r) = -2*r**2 + 20*r + 4. Let j be n(10). What is the first derivative of 2*s**2 - 10*s**2 + 4 + 2*s**2 - j*s**2 wrt s?\n' | b'-20*s\n' | deepmind/math_dataset |
b'What is prob of sequence ym when two letters picked without replacement from {n: 1, t: 2, y: 8, g: 3, c: 2, m: 1}?\n' | b'1/34\n' | b'What is prob of sequence ym when two letters picked without replacement from {n: 1, t: 2, y: 8, g: 3, c: 2, m: 1}?\n' | b'1/34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jmmjmmjmjmjm. What is prob of picking 1 m and 1 j?\n' | b'35/66\n' | b'Two letters picked without replacement from jmmjmmjmjmjm. What is prob of picking 1 m and 1 j?\n' | b'35/66\n' | deepmind/math_dataset |
b'Let n(p) = p + 2. Let k be n(2). Solve 0 = -5*v - 5*t + 5, -4*v + k*t = t - 25 for v.\n' | b'4\n' | b'Let n(p) = p + 2. Let k be n(2). Solve 0 = -5*v - 5*t + 5, -4*v + k*t = t - 25 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((d**(-2/9))**24)**(1/10) assuming d is positive.\n' | b'd**(-8/15)\n' | b'Simplify ((d**(-2/9))**24)**(1/10) assuming d is positive.\n' | b'd**(-8/15)\n' | deepmind/math_dataset |
b'Let q(g) be the third derivative of -5*g**4/24 - g**3/3 + 5*g**2. Determine q(-2).\n' | b'8\n' | b'Let q(g) be the third derivative of -5*g**4/24 - g**3/3 + 5*g**2. Determine q(-2).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (g*g/(g/g**(-3/7)*g)*(g/(g/g**(-4)))/g)/(g**6/(g*g**13)) assuming g is positive.\n' | b'g**(18/7)\n' | b'Simplify (g*g/(g/g**(-3/7)*g)*(g/(g/g**(-4)))/g)/(g**6/(g*g**13)) assuming g is positive.\n' | b'g**(18/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rjrlllrjrr. Give prob of picking 2 l.\n' | b'1/15\n' | b'Two letters picked without replacement from rjrlllrjrr. Give prob of picking 2 l.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 2 n when three letters picked without replacement from {h: 6, n: 7, u: 2}?\n' | b'18/65\n' | b'What is prob of picking 1 h and 2 n when three letters picked without replacement from {h: 6, n: 7, u: 2}?\n' | b'18/65\n' | deepmind/math_dataset |
b'Suppose -2 = 2*h + t, 0 = -5*h + t - 0*t - 12. Let u = h + 2. Find the second derivative of -2*y**4 + 0*y - 2*y + u*y**4 wrt y.\n' | b'-24*y**2\n' | b'Suppose -2 = 2*h + t, 0 = -5*h + t - 0*t - 12. Let u = h + 2. Find the second derivative of -2*y**4 + 0*y - 2*y + u*y**4 wrt y.\n' | b'-24*y**2\n' | deepmind/math_dataset |
b'Suppose w - 13 = -2*f, 3*f + 5*w - 7 - 30 = 0. Suppose -425*s + 279 = -454 - 542. Solve s*k - 20 = -3*o - 2, 4*o - f*k = -16 for o.\n' | b'1\n' | b'Suppose w - 13 = -2*f, 3*f + 5*w - 7 - 30 = 0. Suppose -425*s + 279 = -454 - 542. Solve s*k - 20 = -3*o - 2, 4*o - f*k = -16 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (r**(-2/17)/(r*r*r*r/(r**(-6)*r)))/(r**(-1))**(-11) assuming r is positive.\n' | b'r**(-342/17)\n' | b'Simplify (r**(-2/17)/(r*r*r*r/(r**(-6)*r)))/(r**(-1))**(-11) assuming r is positive.\n' | b'r**(-342/17)\n' | deepmind/math_dataset |
b'Suppose -4*q + 52 = -20. Let a be (q + -3)*(-2)/(-6). Solve 2*x - 4 = 3*m, -3*m - 13 = m + a*x for m.\n' | b'-2\n' | b'Suppose -4*q + 52 = -20. Let a be (q + -3)*(-2)/(-6). Solve 2*x - 4 = 3*m, -3*m - 13 = m + a*x for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u*u**(-11))/((u*u*u*u/(u/u**(-32/3))*u)/u*u) assuming u is positive.\n' | b'u**(-10/3)\n' | b'Simplify (u*u**(-11))/((u*u*u*u/(u/u**(-32/3))*u)/u*u) assuming u is positive.\n' | b'u**(-10/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from chsel. Give prob of sequence ls.\n' | b'1/20\n' | b'Two letters picked without replacement from chsel. Give prob of sequence ls.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let f be ((-32)/(-40))/(1/30). Let y = f + -20. Solve 2*g + 6 = -y*s, 0*s - 4*s + g - 21 = 0 for s.\n' | b'-4\n' | b'Let f be ((-32)/(-40))/(1/30). Let y = f + -20. Solve 2*g + 6 = -y*s, 0*s - 4*s + g - 21 = 0 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q be ((-748)/198)/(5/(-45)*1). Solve q = -2*l - 5*z, 40 = -5*l - 76*z + 71*z for l.\n' | b'-2\n' | b'Let q be ((-748)/198)/(5/(-45)*1). Solve q = -2*l - 5*z, 40 = -5*l - 76*z + 71*z for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u/u**(-2/7))**9*(u*u*u*u**(2/9))/(u/((u**6*u)/u)) assuming u is positive.\n' | b'u**(1247/63)\n' | b'Simplify (u/u**(-2/7))**9*(u*u*u*u**(2/9))/(u/((u**6*u)/u)) assuming u is positive.\n' | b'u**(1247/63)\n' | deepmind/math_dataset |
b'Suppose -y + 17 = -3*o, 5*o = -188 + 198. Solve 4*s + x - y = 0, -7*x + 6 = -5*x for s.\n' | b'5\n' | b'Suppose -y + 17 = -3*o, 5*o = -188 + 198. Solve 4*s + x - y = 0, -7*x + 6 = -5*x for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let i(u) = 10*u**3 - 11*u**2 - 9*u + 9. Let p(v) = 5*v**3 - 5*v**2 - 4*v + 4. Let k(j) = 4*i(j) - 9*p(j). What is the third derivative of k(m) wrt m?\n' | b'-30\n' | b'Let i(u) = 10*u**3 - 11*u**2 - 9*u + 9. Let p(v) = 5*v**3 - 5*v**2 - 4*v + 4. Let k(j) = 4*i(j) - 9*p(j). What is the third derivative of k(m) wrt m?\n' | b'-30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 4, r: 1, e: 1, z: 2, c: 2, s: 2}. What is prob of sequence cr?\n' | b'1/66\n' | b'Two letters picked without replacement from {w: 4, r: 1, e: 1, z: 2, c: 2, s: 2}. What is prob of sequence cr?\n' | b'1/66\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 d when four letters picked without replacement from unnuaatndyu.\n' | b'1/330\n' | b'Calculate prob of picking 3 u and 1 d when four letters picked without replacement from unnuaatndyu.\n' | b'1/330\n' | deepmind/math_dataset |
b'What is prob of sequence maia when four letters picked without replacement from {b: 2, l: 1, a: 7, m: 2, i: 8}?\n' | b'28/4845\n' | b'What is prob of sequence maia when four letters picked without replacement from {b: 2, l: 1, a: 7, m: 2, i: 8}?\n' | b'28/4845\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, b: 5, k: 1, n: 4, l: 5}. What is prob of sequence uk?\n' | b'1/240\n' | b'Two letters picked without replacement from {u: 1, b: 5, k: 1, n: 4, l: 5}. What is prob of sequence uk?\n' | b'1/240\n' | deepmind/math_dataset |
b'Let g be -2*(-2)/(-6)*30/(-4). Solve 1 = -5*r + 4*f, 0 = r - g*r + 5*f - 8 for r.\n' | b'3\n' | b'Let g be -2*(-2)/(-6)*30/(-4). Solve 1 = -5*r + 4*f, 0 = r - g*r + 5*f - 8 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Let j(u) be the second derivative of 0*u**2 + 16/5*u**5 + 1/30*u**6 + 19/4*u**4 - 63*u + 0*u**3 + 0. Find the third derivative of j(f) wrt f.\n' | b'24*f + 384\n' | b'Let j(u) be the second derivative of 0*u**2 + 16/5*u**5 + 1/30*u**6 + 19/4*u**4 - 63*u + 0*u**3 + 0. Find the third derivative of j(f) wrt f.\n' | b'24*f + 384\n' | deepmind/math_dataset |
b'Let z be -6*3 + (-21)/(-7). Let g = -14 - z. Let w(b) = -11*b**3 + b**2 + b - 1. Calculate w(g).\n' | b'-10\n' | b'Let z be -6*3 + (-21)/(-7). Let g = -14 - z. Let w(b) = -11*b**3 + b**2 + b - 1. Calculate w(g).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify b**16/b**(-7/6) assuming b is positive.\n' | b'b**(103/6)\n' | b'Simplify b**16/b**(-7/6) assuming b is positive.\n' | b'b**(103/6)\n' | deepmind/math_dataset |
b'Suppose -2*m + 3*m + 3 = 0, -k = -2*m - 6. Suppose -2*x - 4*j = -2*j - 16, 0 = 2*x + 4*j - 26. Let c(p) = 61*p + 0 - 64*p + k - x. Determine c(-2).\n' | b'3\n' | b'Suppose -2*m + 3*m + 3 = 0, -k = -2*m - 6. Suppose -2*x - 4*j = -2*j - 16, 0 = 2*x + 4*j - 26. Let c(p) = 61*p + 0 - 64*p + k - x. Determine c(-2).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (c*c*c*c/(c**(2/31)/c)*c*c**(-40))/(c/(c*c**43/c*c)*c*c*c**(7/9)) assuming c is positive.\n' | b'c**(1718/279)\n' | b'Simplify (c*c*c*c/(c**(2/31)/c)*c*c**(-40))/(c/(c*c**43/c*c)*c*c*c**(7/9)) assuming c is positive.\n' | b'c**(1718/279)\n' | deepmind/math_dataset |
b'Let x(n) = 1. Let q(v) = -v**2 - 7*v + 3. Let d(b) = q(b) - 2*x(b). Let m be (9/(-4))/(15/40). What is d(m)?\n' | b'7\n' | b'Let x(n) = 1. Let q(v) = -v**2 - 7*v + 3. Let d(b) = q(b) - 2*x(b). Let m be (9/(-4))/(15/40). What is d(m)?\n' | b'7\n' | deepmind/math_dataset |
b'Let n(w) = w**2 - 4*w - 1. Suppose l + 2*g = -4*l + 163, -144 = -4*l - 5*g. Suppose 4*c - 43 + l = 0. What is n(c)?\n' | b'-4\n' | b'Let n(w) = w**2 - 4*w - 1. Suppose l + 2*g = -4*l + 163, -144 = -4*l - 5*g. Suppose 4*c - 43 + l = 0. What is n(c)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(p) be the first derivative of -5 - 8*p - 2*p**2 + 1/3*p**3. Let g be 3 + (-7)/(-2) + 2/(-4). Calculate d(g).\n' | b'4\n' | b'Let d(p) be the first derivative of -5 - 8*p - 2*p**2 + 1/3*p**3. Let g be 3 + (-7)/(-2) + 2/(-4). Calculate d(g).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((v**(1/6)/v)/(v*v/v**(-2/31)*v))**(-1/26) assuming v is positive.\n' | b'v**(725/4836)\n' | b'Simplify ((v**(1/6)/v)/(v*v/v**(-2/31)*v))**(-1/26) assuming v is positive.\n' | b'v**(725/4836)\n' | deepmind/math_dataset |
b'Let k(c) be the second derivative of c**3/3 + 7*c**2/2 + 14*c. Give k(-7).\n' | b'-7\n' | b'Let k(c) be the second derivative of c**3/3 + 7*c**2/2 + 14*c. Give k(-7).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zztngtwgwzgwztznwnz. What is prob of sequence wzz?\n' | b'20/969\n' | b'Three letters picked without replacement from zztngtwgwzgwztznwnz. What is prob of sequence wzz?\n' | b'20/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 12, a: 2, s: 2, l: 1, e: 2}. What is prob of sequence iisa?\n' | b'11/1938\n' | b'Four letters picked without replacement from {i: 12, a: 2, s: 2, l: 1, e: 2}. What is prob of sequence iisa?\n' | b'11/1938\n' | deepmind/math_dataset |
b'Simplify j**(-3/2)/j**(1/7)*j/(j**(-4)/j)*(j/(j/(j*j**(-8)*j*j)*j))/j assuming j is positive.\n' | b'j**(-37/14)\n' | b'Simplify j**(-3/2)/j**(1/7)*j/(j**(-4)/j)*(j/(j/(j*j**(-8)*j*j)*j))/j assuming j is positive.\n' | b'j**(-37/14)\n' | deepmind/math_dataset |
b'Let g = -30 + -21. Let s(n) = -n**2 + 13*n + 28. Let z be s(11). Let t = z + g. Let b(m) = -4*m**2 - 1. Determine b(t).\n' | b'-5\n' | b'Let g = -30 + -21. Let s(n) = -n**2 + 13*n + 28. Let z be s(11). Let t = z + g. Let b(m) = -4*m**2 - 1. Determine b(t).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from knaadlnmmam. What is prob of picking 2 a, 1 l, and 1 m?\n' | b'3/110\n' | b'Four letters picked without replacement from knaadlnmmam. What is prob of picking 2 a, 1 l, and 1 m?\n' | b'3/110\n' | deepmind/math_dataset |
b'Suppose -6*r + 0*r + 54 = 0. Let y be 51/r - (-6)/18. Suppose y*v + 20 = 10*v. Solve -3*a + 37 + 0 = -v*k, 5 = -5*a - 5*k for a.\n' | b'4\n' | b'Suppose -6*r + 0*r + 54 = 0. Let y be 51/r - (-6)/18. Suppose y*v + 20 = 10*v. Solve -3*a + 37 + 0 = -v*k, 5 = -5*a - 5*k for a.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\n' | b'1\n' | b'What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Let f(a) = a**3 + 4*a**2 - 6*a - 3. Suppose 3*j = 4*j + 12. Let z be ((-3)/(-3))/(((-5)/7)/5). Let c = j - z. What is f(c)?\n' | b'2\n' | b'Let f(a) = a**3 + 4*a**2 - 6*a - 3. Suppose 3*j = 4*j + 12. Let z be ((-3)/(-3))/(((-5)/7)/5). Let c = j - z. What is f(c)?\n' | b'2\n' | deepmind/math_dataset |
b'Let w(s) = -s**2 + 15*s - 32. Let a(v) = -50*v + v**2 + 84*v - 49*v + 30. Let r(c) = 6*a(c) + 5*w(c). What is r(14)?\n' | b'6\n' | b'Let w(s) = -s**2 + 15*s - 32. Let a(v) = -50*v + v**2 + 84*v - 49*v + 30. Let r(c) = 6*a(c) + 5*w(c). What is r(14)?\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ojll. Give prob of sequence jl.\n' | b'1/6\n' | b'Two letters picked without replacement from ojll. Give prob of sequence jl.\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnfssssnsssnsfsf. What is prob of picking 3 s and 1 f?\n' | b'9/65\n' | b'Four letters picked without replacement from nnfssssnsssnsfsf. What is prob of picking 3 s and 1 f?\n' | b'9/65\n' | deepmind/math_dataset |
b'What is prob of sequence tr when two letters picked without replacement from ttrrtdr?\n' | b'3/14\n' | b'What is prob of sequence tr when two letters picked without replacement from ttrrtdr?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((z**9)**13*z**(-3/4)/(z/z**1))**44 assuming z is positive.\n' | b'z**5115\n' | b'Simplify ((z**9)**13*z**(-3/4)/(z/z**1))**44 assuming z is positive.\n' | b'z**5115\n' | deepmind/math_dataset |
b'Let t(l) be the first derivative of -9 + 0*l - 1/2*l**2 - 1/24*l**4 - l**3. Let p(v) be the second derivative of t(v). Differentiate p(d) wrt d.\n' | b'-1\n' | b'Let t(l) be the first derivative of -9 + 0*l - 1/2*l**2 - 1/24*l**4 - l**3. Let p(v) be the second derivative of t(v). Differentiate p(d) wrt d.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 5, a: 5}. What is prob of picking 2 m?\n' | b'2/9\n' | b'Two letters picked without replacement from {m: 5, a: 5}. What is prob of picking 2 m?\n' | b'2/9\n' | deepmind/math_dataset |
b'Suppose 0 = -0*v + v, -v = -3*f. Let o(w) = -w**3 + w**2 + 6*w + 2. Let q be o(0). Let l(h) = -q*h + f - 6 + 4 + 0. Determine l(-2).\n' | b'2\n' | b'Suppose 0 = -0*v + v, -v = -3*f. Let o(w) = -w**3 + w**2 + 6*w + 2. Let q be o(0). Let l(h) = -q*h + f - 6 + 4 + 0. Determine l(-2).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 2, k: 3}?\n' | b'3/10\n' | b'What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 2, k: 3}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let m(u) be the first derivative of 7*u**2/2 + 11*u + 245. What is m(-8)?\n' | b'-45\n' | b'Let m(u) be the first derivative of 7*u**2/2 + 11*u + 245. What is m(-8)?\n' | b'-45\n' | deepmind/math_dataset |
b'Let k = 114 + -99. Let r = k + -13. Solve -3*w = 4*z + 15, 0 = 5*z - w - 7 + r for z.\n' | b'0\n' | b'Let k = 114 + -99. Let r = k + -13. Solve -3*w = 4*z + 15, 0 = 5*z - w - 7 + r for z.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -49*n + 21*n + 30*n = 48. Let z(r) = r**3 - 23*r**2 - 23*r - 30. What is z(n)?\n' | b'-6\n' | b'Suppose -49*n + 21*n + 30*n = 48. Let z(r) = r**3 - 23*r**2 - 23*r - 30. What is z(n)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let i(w) = -w + 6. Let h(j) = 3*j**2 + 6*j + 2. Let x be h(6). Let p = x + -158. Let v = p + 21. What is i(v)?\n' | b'-3\n' | b'Let i(w) = -w + 6. Let h(j) = 3*j**2 + 6*j + 2. Let x be h(6). Let p = x + -158. Let v = p + 21. What is i(v)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(x) = x. Let y = 26 + -24. Suppose i = 1, -2 = -y*h + 4*i - 0. Suppose -h*k + 8*k = 30. Calculate n(k).\n' | b'6\n' | b'Let n(x) = x. Let y = 26 + -24. Suppose i = 1, -2 = -y*h + 4*i - 0. Suppose -h*k + 8*k = 30. Calculate n(k).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ejtetjetetw. What is prob of picking 2 e?\n' | b'6/55\n' | b'Two letters picked without replacement from ejtetjetetw. What is prob of picking 2 e?\n' | b'6/55\n' | deepmind/math_dataset |
b'Suppose -2*f + 22 = 4*n, 2*f + 0*n = -n + 10. Solve -6*p + 3*p + 12 = 2*w, -w - 12 = -f*p for p.\n' | b'4\n' | b'Suppose -2*f + 22 = 4*n, 2*f + 0*n = -n + 10. Solve -6*p + 3*p + 12 = 2*w, -w - 12 = -f*p for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(v) = v**3 - 3*v**2 - 6*v + 5. Let q be n(4). Let k be -3 + (q + 4)*1. Let y = k + 8. Solve 5*d - y = o - 2, d = -5*o + 6 for d.\n' | b'1\n' | b'Let n(v) = v**3 - 3*v**2 - 6*v + 5. Let q be n(4). Let k be -3 + (q + 4)*1. Let y = k + 8. Solve 5*d - y = o - 2, d = -5*o + 6 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmjjwwwmtwwwjmjjm. What is prob of sequence jj?\n' | b'5/68\n' | b'Two letters picked without replacement from mmjjwwwmtwwwjmjjm. What is prob of sequence jj?\n' | b'5/68\n' | deepmind/math_dataset |
b'Simplify ((q**(-1/5)/q)/((q*q/q**(2/19))/q)*((q**2*q)/q)/q*q**3)**(6/11) assuming q is positive.\n' | b'q**(1086/1045)\n' | b'Simplify ((q**(-1/5)/q)/((q*q/q**(2/19))/q)*((q**2*q)/q)/q*q**3)**(6/11) assuming q is positive.\n' | b'q**(1086/1045)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 4, t: 1, m: 1, j: 2, p: 3, w: 1}. What is prob of picking 1 j and 1 p?\n' | b'1/11\n' | b'Two letters picked without replacement from {b: 4, t: 1, m: 1, j: 2, p: 3, w: 1}. What is prob of picking 1 j and 1 p?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let x(g) = -g - 1. Let z = 64 - 24. Suppose l + 67 = -5*b, 23*b - 21*b + 8 = 0. Let f = z + l. Determine x(f).\n' | b'6\n' | b'Let x(g) = -g - 1. Let z = 64 - 24. Suppose l + 67 = -5*b, 23*b - 21*b + 8 = 0. Let f = z + l. Determine x(f).\n' | b'6\n' | deepmind/math_dataset |
b'Let y(r) be the first derivative of 148*r**7/7 + 116*r**3/3 + 144. What is the third derivative of y(n) wrt n?\n' | b'17760*n**3\n' | b'Let y(r) be the first derivative of 148*r**7/7 + 116*r**3/3 + 144. What is the third derivative of y(n) wrt n?\n' | b'17760*n**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 6, z: 4}. What is prob of sequence zzjj?\n' | b'1/14\n' | b'Four letters picked without replacement from {j: 6, z: 4}. What is prob of sequence zzjj?\n' | b'1/14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaztztttttpttaar. Give prob of picking 1 z and 3 t.\n' | b'4/65\n' | b'Four letters picked without replacement from aaztztttttpttaar. Give prob of picking 1 z and 3 t.\n' | b'4/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ifthw. What is prob of sequence ih?\n' | b'1/20\n' | b'Two letters picked without replacement from ifthw. What is prob of sequence ih?\n' | b'1/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 2, x: 5, o: 5}. Give prob of picking 2 x and 2 o.\n' | b'20/99\n' | b'Four letters picked without replacement from {p: 2, x: 5, o: 5}. Give prob of picking 2 x and 2 o.\n' | b'20/99\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 9, p: 2}. Give prob of picking 4 v.\n' | b'21/55\n' | b'Four letters picked without replacement from {v: 9, p: 2}. Give prob of picking 4 v.\n' | b'21/55\n' | deepmind/math_dataset |
b'Let n(b) = -2*b**2 + 10*b + 3. Let r be -3 - (1 - 12/4). Let v(u) = -u**2 + u - 1. Let f(q) = r*n(q) + 3*v(q). What is f(-7)?\n' | b'-6\n' | b'Let n(b) = -2*b**2 + 10*b + 3. Let r be -3 - (1 - 12/4). Let v(u) = -u**2 + u - 1. Let f(q) = r*n(q) + 3*v(q). What is f(-7)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let y(r) = -2*r - 7. Let f be y(-5). Let h(s) = -s**3 + s**2 + 3*s + 4. Let u be h(f). Let a = -4 - u. Solve 3*v - a = -4*w - 10, -w - 6 = -3*v for v.\n' | b'1\n' | b'Let y(r) = -2*r - 7. Let f be y(-5). Let h(s) = -s**3 + s**2 + 3*s + 4. Let u be h(f). Let a = -4 - u. Solve 3*v - a = -4*w - 10, -w - 6 = -3*v for v.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((n/n**(-1/5))/n)**(-19)*(n/(((n/(n/n**(-3/2)*n)*n)/n)/n))/(n*n**(1/15)*n) assuming n is positive.\n' | b'n**(-41/30)\n' | b'Simplify ((n/n**(-1/5))/n)**(-19)*(n/(((n/(n/n**(-3/2)*n)*n)/n)/n))/(n*n**(1/15)*n) assuming n is positive.\n' | b'n**(-41/30)\n' | deepmind/math_dataset |
b'Let f(p) = -5*p - 2. Let h(i) = 2*i - 4. Let x be h(7). Let c = -21 + 9. Let d = c + x. Calculate f(d).\n' | b'8\n' | b'Let f(p) = -5*p - 2. Let h(i) = 2*i - 4. Let x be h(7). Let c = -21 + 9. Let d = c + x. Calculate f(d).\n' | b'8\n' | deepmind/math_dataset |
b'Let z = -13 - -17. Let l(p) be the second derivative of 1/20*p**5 - 3*p + 2*p**2 - 2/3*p**3 + 0 - 1/4*p**4. What is l(z)?\n' | b'4\n' | b'Let z = -13 - -17. Let l(p) be the second derivative of 1/20*p**5 - 3*p + 2*p**2 - 2/3*p**3 + 0 - 1/4*p**4. What is l(z)?\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence rjjj when four letters picked without replacement from {j: 7, r: 3}?\n' | b'1/8\n' | b'What is prob of sequence rjjj when four letters picked without replacement from {j: 7, r: 3}?\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify (l**(-8)/(l**(-1/5)/l))/(l*l*l**(1/2)*l*l**2/l) assuming l is positive.\n' | b'l**(-113/10)\n' | b'Simplify (l**(-8)/(l**(-1/5)/l))/(l*l*l**(1/2)*l*l**2/l) assuming l is positive.\n' | b'l**(-113/10)\n' | deepmind/math_dataset |
b'Suppose -2*q + 0*x = x - 8, 16 = 4*q + 3*x. Let p(b) = q*b + 2*b**2 - 4*b**2 + b**2. Let d(t) = t + 11. Let h be d(-8). What is p(h)?\n' | b'3\n' | b'Suppose -2*q + 0*x = x - 8, 16 = 4*q + 3*x. Let p(b) = q*b + 2*b**2 - 4*b**2 + b**2. Let d(t) = t + 11. Let h be d(-8). What is p(h)?\n' | b'3\n' | deepmind/math_dataset |
b'Let o(n) = -n**2 + 3*n - 8. Suppose -15 = -4*r + t, 2*r - 7*r + 3*t = -10. Let v(j) = j**2 - 3*j + 9. Let k(g) = r*v(g) + 6*o(g). Determine k(4).\n' | b'-7\n' | b'Let o(n) = -n**2 + 3*n - 8. Suppose -15 = -4*r + t, 2*r - 7*r + 3*t = -10. Let v(j) = j**2 - 3*j + 9. Let k(g) = r*v(g) + 6*o(g). Determine k(4).\n' | b'-7\n' | deepmind/math_dataset |
b'Let y(k) = 4*k + 11. Let r(b) = -2 - 3*b + 0 - 5. Let s(h) = 7*r(h) + 5*y(h). Let q(v) = v. Let m be q(4). Give s(m).\n' | b'2\n' | b'Let y(k) = 4*k + 11. Let r(b) = -2 - 3*b + 0 - 5. Let s(h) = 7*r(h) + 5*y(h). Let q(v) = v. Let m be q(4). Give s(m).\n' | b'2\n' | deepmind/math_dataset |
b'Differentiate -1 + 6 - 2 - 9*o - 5*o with respect to o.\n' | b'-14\n' | b'Differentiate -1 + 6 - 2 - 9*o - 5*o with respect to o.\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (g/g**0)**(-7)/((g/g**(2/7))/g*g)**(-3/35) assuming g is positive.\n' | b'g**(-340/49)\n' | b'Simplify (g/g**0)**(-7)/((g/g**(2/7))/g*g)**(-3/35) assuming g is positive.\n' | b'g**(-340/49)\n' | deepmind/math_dataset |
b'Simplify (((w*w**(-2/31))/w)/(w**(-2/5)*w*w))/(w/((w/((w*(w/(w*w**(-2)))/w)/w))/w)*w*w*w**(-6)/w*w) assuming w is positive.\n' | b'w**(52/155)\n' | b'Simplify (((w*w**(-2/31))/w)/(w**(-2/5)*w*w))/(w/((w/((w*(w/(w*w**(-2)))/w)/w))/w)*w*w*w**(-6)/w*w) assuming w is positive.\n' | b'w**(52/155)\n' | deepmind/math_dataset |
b'Let r be 8 + 4 - (1 - -1). Suppose -c - w + 0 = 8, 5*w = -r. Let d(y) = 11*y - 2 + 0*y**2 - 5*y + 2*y**2 + y**3 + 5*y**2. Determine d(c).\n' | b'-2\n' | b'Let r be 8 + 4 - (1 - -1). Suppose -c - w + 0 = 8, 5*w = -r. Let d(y) = 11*y - 2 + 0*y**2 - 5*y + 2*y**2 + y**3 + 5*y**2. Determine d(c).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tktkkkkk. What is prob of sequence ttk?\n' | b'1/28\n' | b'Three letters picked without replacement from tktkkkkk. What is prob of sequence ttk?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose -5*f = -3*q + 46, 32*f - 34*f - 10 = -4*q. Let x(r) = 2*r**2 + 21*r + 10. Give x(f).\n' | b'21\n' | b'Suppose -5*f = -3*q + 46, 32*f - 34*f - 10 = -4*q. Let x(r) = 2*r**2 + 21*r + 10. Give x(f).\n' | b'21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 7, j: 2, o: 5}. What is prob of sequence wjww?\n' | b'5/286\n' | b'Four letters picked without replacement from {w: 7, j: 2, o: 5}. What is prob of sequence wjww?\n' | b'5/286\n' | deepmind/math_dataset |
b'Let u = -1 + 3. Let r(g) = g**3 - g**2 + g - 2. Let w be r(u). Let y be (0 - -1) + w + -5. Solve y = -5*h - 20, 2*b + b - 4*h = 19 for b.\n' | b'1\n' | b'Let u = -1 + 3. Let r(g) = g**3 - g**2 + g - 2. Let w be r(u). Let y be (0 - -1) + w + -5. Solve y = -5*h - 20, 2*b + b - 4*h = 19 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -p - 81 = -5*r + 2*p, 87 = 4*r + 5*p. Let k be (r/15 + 0)/((-15)/(-25)). Solve -2*d + 3*v + 9 = 0, v + k*v = -d - 18 for d.\n' | b'-3\n' | b'Suppose -p - 81 = -5*r + 2*p, 87 = 4*r + 5*p. Let k be (r/15 + 0)/((-15)/(-25)). Solve -2*d + 3*v + 9 = 0, v + k*v = -d - 18 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from vovzvoozzvzvvozozzv.\n' | b'10/171\n' | b'Calculate prob of sequence oo when two letters picked without replacement from vovzvoozzvzvvozozzv.\n' | b'10/171\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 i when three letters picked without replacement from eieeeeeeeeiigueeeue?\n' | b'2/323\n' | b'What is prob of picking 1 u and 2 i when three letters picked without replacement from eieeeeeeeeiigueeeue?\n' | b'2/323\n' | deepmind/math_dataset |
b'What is prob of sequence cwnw when four letters picked without replacement from {w: 2, c: 5, n: 5}?\n' | b'5/1188\n' | b'What is prob of sequence cwnw when four letters picked without replacement from {w: 2, c: 5, n: 5}?\n' | b'5/1188\n' | deepmind/math_dataset |
b'Simplify ((d*d/(d/d**(-8)))/d)/(d/(d*d/(d*d/d**(1/6)*d))) assuming d is positive.\n' | b'd**(-59/6)\n' | b'Simplify ((d*d/(d/d**(-8)))/d)/(d/(d*d/(d*d/d**(1/6)*d))) assuming d is positive.\n' | b'd**(-59/6)\n' | deepmind/math_dataset |
b'What is prob of picking 2 h and 1 m when three letters picked without replacement from {h: 4, m: 3}?\n' | b'18/35\n' | b'What is prob of picking 2 h and 1 m when three letters picked without replacement from {h: 4, m: 3}?\n' | b'18/35\n' | deepmind/math_dataset |
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