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 s(z) = 109*z + 1106. Let u be s(-10). Solve 4*a - 19*c + 20*c = -u, 3*a = 3*c - 12 for a.\n' | b'-4\n' | b'Let s(z) = 109*z + 1106. Let u be s(-10). Solve 4*a - 19*c + 20*c = -u, 3*a = 3*c - 12 for a.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 v, 1 m, and 1 j when four letters picked without replacement from rddjvjdmvnmjv?\n' | b'18/715\n' | b'What is prob of picking 2 v, 1 m, and 1 j when four letters picked without replacement from rddjvjdmvnmjv?\n' | b'18/715\n' | deepmind/math_dataset |
b'Let c be (8/4)/(-20) + 2204/40. Suppose -t = c - 64. Solve -4 = 2*z, i - z + t = -6*z for i.\n' | b'1\n' | b'Let c be (8/4)/(-20) + 2204/40. Suppose -t = c - 64. Solve -4 = 2*z, i - z + t = -6*z for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(y) = y - 3. Let s be x(6). Let t be ((-1)/s)/((-2)/6). Solve -6 = -4*a + m, 0 = -a - 2*m - 4 + t for a.\n' | b'1\n' | b'Let x(y) = y - 3. Let s be x(6). Let t be ((-1)/s)/((-2)/6). Solve -6 = -4*a + m, 0 = -a - 2*m - 4 + t for a.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccgdcccsddcc. What is prob of sequence cs?\n' | b'7/132\n' | b'Two letters picked without replacement from ccgdcccsddcc. What is prob of sequence cs?\n' | b'7/132\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 1 g when three letters picked without replacement from ogggozozo.\n' | b'3/14\n' | b'Calculate prob of picking 2 o and 1 g when three letters picked without replacement from ogggozozo.\n' | b'3/14\n' | deepmind/math_dataset |
b'Suppose 13*s + 73*s - 147 = 25. Let l(c) be the second derivative of -8*c**s + 0*c**3 - 2/3*c**6 + 0 + 12*c + 0*c**5 + 0*c**4. Differentiate l(a) wrt a.\n' | b'-80*a**3\n' | b'Suppose 13*s + 73*s - 147 = 25. Let l(c) be the second derivative of -8*c**s + 0*c**3 - 2/3*c**6 + 0 + 12*c + 0*c**5 + 0*c**4. Differentiate l(a) wrt a.\n' | b'-80*a**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yyttyyyyytyyyy. What is prob of sequence yyyt?\n' | b'45/364\n' | b'Four letters picked without replacement from yyttyyyyytyyyy. What is prob of sequence yyyt?\n' | b'45/364\n' | deepmind/math_dataset |
b'Let r(b) = -b + 30. Let x be r(25). Let v(t) = x - 20*t + 5*t + 16*t. Calculate v(11).\n' | b'16\n' | b'Let r(b) = -b + 30. Let x be r(25). Let v(t) = x - 20*t + 5*t + 16*t. Calculate v(11).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify (((s*s**(10/9))/s*s*s*s*((s**(-47)*s)/s)/s)**(-3/11))**(-50) assuming s is positive.\n' | b's**(-19750/33)\n' | b'Simplify (((s*s**(10/9))/s*s*s*s*((s**(-47)*s)/s)/s)**(-3/11))**(-50) assuming s is positive.\n' | b's**(-19750/33)\n' | deepmind/math_dataset |
b'Let b(y) = -4*y**3 + 4*y - 3. Let t(l) = -l**4 - 7*l**3 + 7*l - 7. Let d(a) = 7*b(a) - 4*t(a). What is the first derivative of d(j) wrt j?\n' | b'16*j**3\n' | b'Let b(y) = -4*y**3 + 4*y - 3. Let t(l) = -l**4 - 7*l**3 + 7*l - 7. Let d(a) = 7*b(a) - 4*t(a). What is the first derivative of d(j) wrt j?\n' | b'16*j**3\n' | deepmind/math_dataset |
b'Let n(z) = -67*z**2 + 65*z**2 + 40*z - 4 - 28*z. Give n(6).\n' | b'-4\n' | b'Let n(z) = -67*z**2 + 65*z**2 + 40*z - 4 - 28*z. Give n(6).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zcsqqqcxq. Give prob of picking 1 z and 1 q.\n' | b'1/9\n' | b'Two letters picked without replacement from zcsqqqcxq. Give prob of picking 1 z and 1 q.\n' | b'1/9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 l when three letters picked without replacement from llllqflflflflfflllff.\n' | b'11/228\n' | b'Calculate prob of picking 1 q and 2 l when three letters picked without replacement from llllqflflflflfflllff.\n' | b'11/228\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rttrtrrattttattrrt. What is prob of sequence ara?\n' | b'1/408\n' | b'Three letters picked without replacement from rttrtrrattttattrrt. What is prob of sequence ara?\n' | b'1/408\n' | deepmind/math_dataset |
b'Let k = 44 + 6. Let y = k - 46. Solve y = 2*c + q, -3*c + 5*q + 19 = -0*c for c.\n' | b'3\n' | b'Let k = 44 + 6. Let y = k - 46. Solve y = 2*c + q, -3*c + 5*q + 19 = -0*c for c.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3565 = 14*q + 107. Let a = q + -243. Solve j + 4*s + 20 = s, -2*j + a*s = -10 for j.\n' | b'-5\n' | b'Suppose 3565 = 14*q + 107. Let a = q + -243. Solve j + 4*s + 20 = s, -2*j + a*s = -10 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {k: 7, q: 7}.\n' | b'21/52\n' | b'Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {k: 7, q: 7}.\n' | b'21/52\n' | deepmind/math_dataset |
b'Simplify (o**(-32))**(-17)*(o**(-19))**(5/9) assuming o is positive.\n' | b'o**(4801/9)\n' | b'Simplify (o**(-32))**(-17)*(o**(-19))**(5/9) assuming o is positive.\n' | b'o**(4801/9)\n' | deepmind/math_dataset |
b'Let p(n) = n**2 + 6*n - 600. Let f be p(22). Solve -3*z + 20 = -f*y + 11*y, -5*y - 5*z = 20 for y.\n' | b'-4\n' | b'Let p(n) = n**2 + 6*n - 600. Let f be p(22). Solve -3*z + 20 = -f*y + 11*y, -5*y - 5*z = 20 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 4}. What is prob of picking 4 m?\n' | b'1\n' | b'Four letters picked without replacement from {m: 4}. What is prob of picking 4 m?\n' | b'1\n' | deepmind/math_dataset |
b'Let m be (-3)/(3 + (24/18)/((-30)/81)). Let w(g) = -g**2 - 2*g + 37. Give w(m).\n' | b'2\n' | b'Let m be (-3)/(3 + (24/18)/((-30)/81)). Let w(g) = -g**2 - 2*g + 37. Give w(m).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (n/(n*n**(20/3)))**(20/3)/(n**(-18)/n)**(-3/8) assuming n is positive.\n' | b'n**(-3713/72)\n' | b'Simplify (n/(n*n**(20/3)))**(20/3)/(n**(-18)/n)**(-3/8) assuming n is positive.\n' | b'n**(-3713/72)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 4, f: 6, t: 5}. What is prob of picking 2 t and 1 f?\n' | b'12/91\n' | b'Three letters picked without replacement from {u: 4, f: 6, t: 5}. What is prob of picking 2 t and 1 f?\n' | b'12/91\n' | deepmind/math_dataset |
b'Let x(q) = 0*q - 56*q**2 + 6*q + 18*q**2 + 17*q**2 + 22*q**2. Give x(-8).\n' | b'16\n' | b'Let x(q) = 0*q - 56*q**2 + 6*q + 18*q**2 + 17*q**2 + 22*q**2. Give x(-8).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify (j**(-7)/j**(-5))**(-5)/((j*j**0/j)**1/((j/(j/(j/(j**(1/2)/j)*j))*j)/(j**(1/4)*j*j))) assuming j is positive.\n' | b'j**(45/4)\n' | b'Simplify (j**(-7)/j**(-5))**(-5)/((j*j**0/j)**1/((j/(j/(j/(j**(1/2)/j)*j))*j)/(j**(1/4)*j*j))) assuming j is positive.\n' | b'j**(45/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbbbzbbbbbbb. What is prob of picking 2 b?\n' | b'5/6\n' | b'Two letters picked without replacement from bbbbzbbbbbbb. What is prob of picking 2 b?\n' | b'5/6\n' | deepmind/math_dataset |
b'What is the derivative of -1881*a**2 + 3022 + 6561*a**2 - 12688 wrt a?\n' | b'9360*a\n' | b'What is the derivative of -1881*a**2 + 3022 + 6561*a**2 - 12688 wrt a?\n' | b'9360*a\n' | deepmind/math_dataset |
b'Let b be (342/63 - 5)*7. Let a(r) be the first derivative of -7/2*r**2 + 1 + 2*r**b + 0*r. What is the second derivative of a(u) wrt u?\n' | b'12\n' | b'Let b be (342/63 - 5)*7. Let a(r) be the first derivative of -7/2*r**2 + 1 + 2*r**b + 0*r. What is the second derivative of a(u) wrt u?\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence ok when two letters picked without replacement from kkkknoknokoonk.\n' | b'2/13\n' | b'Calculate prob of sequence ok when two letters picked without replacement from kkkknoknokoonk.\n' | b'2/13\n' | deepmind/math_dataset |
b'Simplify (v**8/(v/v**(-13/2)))**(-49) assuming v is positive.\n' | b'v**(-49/2)\n' | b'Simplify (v**8/(v/v**(-13/2)))**(-49) assuming v is positive.\n' | b'v**(-49/2)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, d: 3}. What is prob of sequence ddpp?\n' | b'1/10\n' | b'Four letters picked without replacement from {p: 3, d: 3}. What is prob of sequence ddpp?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((b**(1/2)/b**1)/(b**(-2/13)/b**(-1/8)))/((((b*(b/b**(-1))/b)/b)/b)**41*(b*b**(-2/5)*b*b)**(-28/3)) assuming b is positive.\n' | b'b**(37121/1560)\n' | b'Simplify ((b**(1/2)/b**1)/(b**(-2/13)/b**(-1/8)))/((((b*(b/b**(-1))/b)/b)/b)**41*(b*b**(-2/5)*b*b)**(-28/3)) assuming b is positive.\n' | b'b**(37121/1560)\n' | deepmind/math_dataset |
b'Suppose 32*z = 19*z - 858. Let j be (-88)/z - (-67)/(-3). Let k(h) = h**2 + 20*h - 16. Give k(j).\n' | b'5\n' | b'Suppose 32*z = 19*z - 858. Let j be (-88)/z - (-67)/(-3). Let k(h) = h**2 + 20*h - 16. Give k(j).\n' | b'5\n' | deepmind/math_dataset |
b'Let f = 19 - 15. Let m be (-6)/(-8)*f + -1. Let h(z) be the second derivative of z**5/20 - z**4/6 + z**3/3 + z**2/2 + z. What is h(m)?\n' | b'5\n' | b'Let f = 19 - 15. Let m be (-6)/(-8)*f + -1. Let h(z) be the second derivative of z**5/20 - z**4/6 + z**3/3 + z**2/2 + z. What is h(m)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 7*s - 9 = 4*s. Suppose s*a = a + 16. Let b(n) = -8*n - 60. Let h be b(-8). Solve c + 2*c + h*j = -9, -5*c + a = -j for c.\n' | b'1\n' | b'Suppose 7*s - 9 = 4*s. Suppose s*a = a + 16. Let b(n) = -8*n - 60. Let h be b(-8). Solve c + 2*c + h*j = -9, -5*c + a = -j for c.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(p) = -p**3 + 1. Let v(a) = 10*a**3 - 5*a - 4. Let x(r) = -4*d(r) - v(r). What is the second derivative of x(m) wrt m?\n' | b'-36*m\n' | b'Let d(p) = -p**3 + 1. Let v(a) = 10*a**3 - 5*a - 4. Let x(r) = -4*d(r) - v(r). What is the second derivative of x(m) wrt m?\n' | b'-36*m\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sstrrrrrbrrrrsrbabat. Give prob of picking 3 s.\n' | b'1/1140\n' | b'Three letters picked without replacement from sstrrrrrbrrrrsrbabat. Give prob of picking 3 s.\n' | b'1/1140\n' | deepmind/math_dataset |
b'Let s(w) = 8*w - 5. Let g(f) = -20*f + 12. Let t(r) = 5*g(r) + 12*s(r). Calculate t(2).\n' | b'-8\n' | b'Let s(w) = 8*w - 5. Let g(f) = -20*f + 12. Let t(r) = 5*g(r) + 12*s(r). Calculate t(2).\n' | b'-8\n' | deepmind/math_dataset |
b'Let d(r) = -r**3 - 16*r**2 - 4*r - 64. Let u be d(-16). Let k = 6 + -2. Solve -x + 4*l + 13 = u, k*x + x + l + 19 = 0 for x.\n' | b'-3\n' | b'Let d(r) = -r**3 - 16*r**2 - 4*r - 64. Let u be d(-16). Let k = 6 + -2. Solve -x + 4*l + 13 = u, k*x + x + l + 19 = 0 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the third derivative of -224*h**6 - 127*h**6 + 1486*h**2 - 1139*h**2 wrt h.\n' | b'-42120*h**3\n' | b'Find the third derivative of -224*h**6 - 127*h**6 + 1486*h**2 - 1139*h**2 wrt h.\n' | b'-42120*h**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, x: 2, u: 1, z: 3, v: 2, d: 4}. Give prob of picking 1 z and 2 d.\n' | b'9/182\n' | b'Three letters picked without replacement from {a: 2, x: 2, u: 1, z: 3, v: 2, d: 4}. Give prob of picking 1 z and 2 d.\n' | b'9/182\n' | deepmind/math_dataset |
b'Simplify ((k/k**(2/5)*k)/k)**(-2/55)*(k*k*(k*k**(-1/10))/k*k)/((k**3*k)/k)*((k**(2/7))**(-36))**(3/5) assuming k is positive.\n' | b'k**(-24229/3850)\n' | b'Simplify ((k/k**(2/5)*k)/k)**(-2/55)*(k*k*(k*k**(-1/10))/k*k)/((k**3*k)/k)*((k**(2/7))**(-36))**(3/5) assuming k is positive.\n' | b'k**(-24229/3850)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vyvtvytvyvvvdy. Give prob of picking 1 d and 1 t.\n' | b'2/91\n' | b'Two letters picked without replacement from vyvtvytvyvvvdy. Give prob of picking 1 d and 1 t.\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (n**16)**0 assuming n is positive.\n' | b'1\n' | b'Simplify (n**16)**0 assuming n is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Differentiate -209*a**2 - 1982 - 1773 - 263*a**2 - 47 + 2*a with respect to a.\n' | b'-944*a + 2\n' | b'Differentiate -209*a**2 - 1982 - 1773 - 263*a**2 - 47 + 2*a with respect to a.\n' | b'-944*a + 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from yqfff.\n' | b'3/10\n' | b'Calculate prob of sequence ff when two letters picked without replacement from yqfff.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let y be (-47)/7 + 8/(-28). Let b(j) = j**3 + 7*j**2 - j - 3. Let z be b(y). Find the second derivative of 4*c - 2*c**3 + z*c**3 - 3*c wrt c.\n' | b'12*c\n' | b'Let y be (-47)/7 + 8/(-28). Let b(j) = j**3 + 7*j**2 - j - 3. Let z be b(y). Find the second derivative of 4*c - 2*c**3 + z*c**3 - 3*c wrt c.\n' | b'12*c\n' | deepmind/math_dataset |
b'Let w(j) = -4*j - 16. Let z be w(-4). Suppose p - 13 - 14 = z. Solve 3*o - p = u - 5*u, u + 5*o - 28 = 0 for u.\n' | b'3\n' | b'Let w(j) = -4*j - 16. Let z be w(-4). Suppose p - 13 - 14 = z. Solve 3*o - p = u - 5*u, u + 5*o - 28 = 0 for u.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ie when two letters picked without replacement from {i: 2, p: 1, c: 1, e: 1, q: 1, l: 1}?\n' | b'1/21\n' | b'What is prob of sequence ie when two letters picked without replacement from {i: 2, p: 1, c: 1, e: 1, q: 1, l: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (l**(-10/3)/((l**(-11)*l)/l*l))/(l*l**(-2)*l/((l**(-2/7)*l)/l)) assuming l is positive.\n' | b'l**(134/21)\n' | b'Simplify (l**(-10/3)/((l**(-11)*l)/l*l))/(l*l**(-2)*l/((l**(-2/7)*l)/l)) assuming l is positive.\n' | b'l**(134/21)\n' | deepmind/math_dataset |
b'Let y be -2 + 3 + (-2 - -26). Let c = 20 - y. Let d be (-8)/c - (-2)/5. Solve -3*t = -3*w + 6, -5*w + 6 = -d*t - 1 for t.\n' | b'-1\n' | b'Let y be -2 + 3 + (-2 - -26). Let c = 20 - y. Let d be (-8)/c - (-2)/5. Solve -3*t = -3*w + 6, -5*w + 6 = -d*t - 1 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j(x) = x**3 - 5*x**2 - 6*x + 5. Let l be (-1)/(-1) - (-4 + -1). Determine j(l).\n' | b'5\n' | b'Let j(x) = x**3 - 5*x**2 - 6*x + 5. Let l be (-1)/(-1) - (-4 + -1). Determine j(l).\n' | b'5\n' | deepmind/math_dataset |
b'Let t be ((-195)/26)/(3/(-20)*2). Solve -5*g + 2*k - t = 0, 2*g + 4*k + 1 = 3*k for g.\n' | b'-3\n' | b'Let t be ((-195)/26)/(3/(-20)*2). Solve -5*g + 2*k - t = 0, 2*g + 4*k + 1 = 3*k for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -490 = 5*u + 2*u. Let b be (160/u)/(-1 - 5/(-7)). Solve 3*x + 2*r + 4 = 12, -2*x = 4*r - b for x.\n' | b'2\n' | b'Suppose -490 = 5*u + 2*u. Let b be (160/u)/(-1 - 5/(-7)). Solve 3*x + 2*r + 4 = 12, -2*x = 4*r - b for x.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*y - 5*f - 4 = 3*y, -16 = -4*y - 2*f. Solve 0*n = 2*n + 4*m - 16, 20 = y*m for n.\n' | b'-2\n' | b'Suppose 4*y - 5*f - 4 = 3*y, -16 = -4*y - 2*f. Solve 0*n = 2*n + 4*m - 16, 20 = y*m for n.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 g and 1 m when three letters picked without replacement from {m: 1, g: 11}?\n' | b'1/4\n' | b'What is prob of picking 2 g and 1 m when three letters picked without replacement from {m: 1, g: 11}?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let b(d) be the third derivative of 0 - 1/3*d**4 + 1/168*d**8 + 0*d + 0*d**6 + 0*d**5 - 8*d**2 + 0*d**3 + 0*d**7. What is the second derivative of b(n) wrt n?\n' | b'40*n**3\n' | b'Let b(d) be the third derivative of 0 - 1/3*d**4 + 1/168*d**8 + 0*d + 0*d**6 + 0*d**5 - 8*d**2 + 0*d**3 + 0*d**7. What is the second derivative of b(n) wrt n?\n' | b'40*n**3\n' | deepmind/math_dataset |
b'Let h(y) = -16*y**2 - y. Let d be (-12)/(-9)*39/13. Let s = -5 + d. Calculate h(s).\n' | b'-15\n' | b'Let h(y) = -16*y**2 - y. Let d be (-12)/(-9)*39/13. Let s = -5 + d. Calculate h(s).\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose 4*f - 3*q = 12, -4*f + 10*q - 5*q + 20 = 0. Let b be -1*(-3 + 2) - -6. Let o = -4 + b. Solve -2*y - i - 2*i - 23 = f, -3 = -3*y + o*i for y.\n' | b'-4\n' | b'Suppose 4*f - 3*q = 12, -4*f + 10*q - 5*q + 20 = 0. Let b be -1*(-3 + 2) - -6. Let o = -4 + b. Solve -2*y - i - 2*i - 23 = f, -3 = -3*y + o*i for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g be (-1220)/122 + 1*12. Solve -2*x + 4*n = -3*x + 15, 4*x + 30 = g*n for x.\n' | b'-5\n' | b'Let g be (-1220)/122 + 1*12. Solve -2*x + 4*n = -3*x + 15, 4*x + 30 = g*n for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*v + 7*v + 44 = 2*g, 2*g - v - 48 = 0. Suppose -f = -0*f - 3. Suppose -t + f = -0. Solve 5*k - g = 4*o, 0 = 2*k - 4*o - 19 - t for k.\n' | b'1\n' | b'Suppose -4*v + 7*v + 44 = 2*g, 2*g - v - 48 = 0. Suppose -f = -0*f - 3. Suppose -t + f = -0. Solve 5*k - g = 4*o, 0 = 2*k - 4*o - 19 - t for k.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*g - 12 = -8. Solve g = t - 1, -5*j + t = 22 for j.\n' | b'-4\n' | b'Suppose 4*g - 12 = -8. Solve g = t - 1, -5*j + t = 22 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(k) = -k - 1. Let s(d) = -2*d - 10*d**2 - 2*d + 2 - 7*d. Let y(o) = -s(o) - 2*w(o). Find the second derivative of y(b) wrt b.\n' | b'20\n' | b'Let w(k) = -k - 1. Let s(d) = -2*d - 10*d**2 - 2*d + 2 - 7*d. Let y(o) = -s(o) - 2*w(o). Find the second derivative of y(b) wrt b.\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (o**1)**(-13/4)/(o**3)**15 assuming o is positive.\n' | b'o**(-193/4)\n' | b'Simplify (o**1)**(-13/4)/(o**3)**15 assuming o is positive.\n' | b'o**(-193/4)\n' | deepmind/math_dataset |
b'Let y(m) be the third derivative of 31*m**4/12 + 265*m**3/6 + 32*m**2. What is the derivative of y(o) wrt o?\n' | b'62\n' | b'Let y(m) be the third derivative of 31*m**4/12 + 265*m**3/6 + 32*m**2. What is the derivative of y(o) wrt o?\n' | b'62\n' | deepmind/math_dataset |
b'Let f(s) = 2*s**3 - 3*s**2 - 2*s - 5. Let v be f(0). Let w(t) = 14*t + 2. Let b(k) = 5*k + 1. Let o(z) = -8*b(z) + 3*w(z). Determine o(v).\n' | b'-12\n' | b'Let f(s) = 2*s**3 - 3*s**2 - 2*s - 5. Let v be f(0). Let w(t) = 14*t + 2. Let b(k) = 5*k + 1. Let o(z) = -8*b(z) + 3*w(z). Determine o(v).\n' | b'-12\n' | deepmind/math_dataset |
b'Let l(j) = -j**3 - j**2 + 1. Let a be l(-2). Let w = 8 - 2. Solve -2*k + w*k = -2*i + 4, 3*k = -a*i - 4 for k.\n' | b'2\n' | b'Let l(j) = -j**3 - j**2 + 1. Let a be l(-2). Let w = 8 - 2. Solve -2*k + w*k = -2*i + 4, 3*k = -a*i - 4 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let u(v) = 2*v**4 - 21*v**2 + 5*v - 5. Let b(c) = -3*c**4 + 21*c**2 - 6*c + 6. Let n(y) = -5*b(y) - 6*u(y). What is the third derivative of n(j) wrt j?\n' | b'72*j\n' | b'Let u(v) = 2*v**4 - 21*v**2 + 5*v - 5. Let b(c) = -3*c**4 + 21*c**2 - 6*c + 6. Let n(y) = -5*b(y) - 6*u(y). What is the third derivative of n(j) wrt j?\n' | b'72*j\n' | deepmind/math_dataset |
b'Simplify (h/(h/(h**(2/13)/h)))/h**(-6)*(h**(-1))**1 assuming h is positive.\n' | b'h**(54/13)\n' | b'Simplify (h/(h/(h**(2/13)/h)))/h**(-6)*(h**(-1))**1 assuming h is positive.\n' | b'h**(54/13)\n' | deepmind/math_dataset |
b'Simplify ((j**(2/3))**7)**(-1) assuming j is positive.\n' | b'j**(-14/3)\n' | b'Simplify ((j**(2/3))**7)**(-1) assuming j is positive.\n' | b'j**(-14/3)\n' | deepmind/math_dataset |
b'Let v be (18/4)/((-3)/(-4)). Suppose v*w - 15 = w. Let z(c) = -c + 4. Give z(w).\n' | b'1\n' | b'Let v be (18/4)/((-3)/(-4)). Suppose v*w - 15 = w. Let z(c) = -c + 4. Give z(w).\n' | b'1\n' | deepmind/math_dataset |
b'Let a(n) = -n**2 + 7*n + 1. Suppose -7*u - 5 + 54 = 0. Calculate a(u).\n' | b'1\n' | b'Let a(n) = -n**2 + 7*n + 1. Suppose -7*u - 5 + 54 = 0. Calculate a(u).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ige. Give prob of sequence eg.\n' | b'1/6\n' | b'Two letters picked without replacement from ige. Give prob of sequence eg.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let d(x) be the first derivative of -x**5/60 + x**4/24 + x**3/2 + 3*x**2/2 - 5. Let p(n) be the second derivative of d(n). Determine p(4).\n' | b'-9\n' | b'Let d(x) be the first derivative of -x**5/60 + x**4/24 + x**3/2 + 3*x**2/2 - 5. Let p(n) be the second derivative of d(n). Determine p(4).\n' | b'-9\n' | deepmind/math_dataset |
b'Let l = -118 - -117. Let o(t) = -3*t - 3. Let r be o(l). Solve -2*v + 2*s = 0, r*v - s = -5*v + 20 for v.\n' | b'5\n' | b'Let l = -118 - -117. Let o(t) = -3*t - 3. Let r be o(l). Solve -2*v + 2*s = 0, r*v - s = -5*v + 20 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let u(k) = 2*k. Let z be (0 - 2/(-4))/(66/264). Suppose -270 + 282 = -z*a. What is u(a)?\n' | b'-12\n' | b'Let u(k) = 2*k. Let z be (0 - 2/(-4))/(66/264). Suppose -270 + 282 = -z*a. What is u(a)?\n' | b'-12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from feeefffffefeee. Give prob of sequence ffee.\n' | b'21/286\n' | b'Four letters picked without replacement from feeefffffefeee. Give prob of sequence ffee.\n' | b'21/286\n' | deepmind/math_dataset |
b'Simplify ((u/u**6*(u/u**0)/u)/(u**(-1/2)*u/(u*u**13*u)))**30 assuming u is positive.\n' | b'u**285\n' | b'Simplify ((u/u**6*(u/u**0)/u)/(u**(-1/2)*u/(u*u**13*u)))**30 assuming u is positive.\n' | b'u**285\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 6, p: 7, z: 2}. Give prob of sequence pptz.\n' | b'1/65\n' | b'Four letters picked without replacement from {t: 6, p: 7, z: 2}. Give prob of sequence pptz.\n' | b'1/65\n' | deepmind/math_dataset |
b'What is prob of sequence ak when two letters picked without replacement from kkqhsha?\n' | b'1/21\n' | b'What is prob of sequence ak when two letters picked without replacement from kkqhsha?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (x/(x/x**(-7))*x*x*x/((x**(2/11)/x)/x)*x)**(-2/29)/(((x*x**(-8))/x)/x*x**(-2/25)*(x/x**2)/x**7) assuming x is positive.\n' | b'x**(136863/7975)\n' | b'Simplify (x/(x/x**(-7))*x*x*x/((x**(2/11)/x)/x)*x)**(-2/29)/(((x*x**(-8))/x)/x*x**(-2/25)*(x/x**2)/x**7) assuming x is positive.\n' | b'x**(136863/7975)\n' | deepmind/math_dataset |
b'Let v(w) = -730*w**4 - 12*w**3 + 4*w**2 - 919. Let a(l) = 12411*l**4 + 210*l**3 - 70*l**2 + 15624. Let b(p) = -2*a(p) - 35*v(p). Differentiate b(t) wrt t.\n' | b'2912*t**3\n' | b'Let v(w) = -730*w**4 - 12*w**3 + 4*w**2 - 919. Let a(l) = 12411*l**4 + 210*l**3 - 70*l**2 + 15624. Let b(p) = -2*a(p) - 35*v(p). Differentiate b(t) wrt t.\n' | b'2912*t**3\n' | deepmind/math_dataset |
b'Suppose 0*v = 2*v. Let n(c) be the third derivative of 1/6*c**3 - 3*c**2 - 1/12*c**4 + 0 + v*c. What is the derivative of n(a) wrt a?\n' | b'-2\n' | b'Suppose 0*v = 2*v. Let n(c) be the third derivative of 1/6*c**3 - 3*c**2 - 1/12*c**4 + 0 + v*c. What is the derivative of n(a) wrt a?\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from edeyneyoekyek. What is prob of picking 1 e, 1 y, and 1 d?\n' | b'15/286\n' | b'Three letters picked without replacement from edeyneyoekyek. What is prob of picking 1 e, 1 y, and 1 d?\n' | b'15/286\n' | deepmind/math_dataset |
b'What is prob of picking 2 t, 1 h, and 1 q when four letters picked without replacement from qchqcjtjhqccjcjtcqqc?\n' | b'2/969\n' | b'What is prob of picking 2 t, 1 h, and 1 q when four letters picked without replacement from qchqcjtjhqccjcjtcqqc?\n' | b'2/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffpckwd. What is prob of sequence df?\n' | b'1/21\n' | b'Two letters picked without replacement from ffpckwd. What is prob of sequence df?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((((w**(1/4)*w)/w)**(1/65))**(-30))**(-7))**(-23) assuming w is positive.\n' | b'w**(-483/26)\n' | b'Simplify (((((w**(1/4)*w)/w)**(1/65))**(-30))**(-7))**(-23) assuming w is positive.\n' | b'w**(-483/26)\n' | deepmind/math_dataset |
b'Let y(q) = -q + 9. Let d be y(7). Let k be (-6)/((-6)/d) - -3. Suppose 18 = 4*c + 2. Solve 6*t = 4*n + t - 17, c = 3*n + k*t for n.\n' | b'3\n' | b'Let y(q) = -q + 9. Let d be y(7). Let k be (-6)/((-6)/d) - -3. Suppose 18 = 4*c + 2. Solve 6*t = 4*n + t - 17, c = 3*n + k*t for n.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 7}. Give prob of picking 4 i.\n' | b'1\n' | b'Four letters picked without replacement from {i: 7}. Give prob of picking 4 i.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*j + 2*f + 72 = 0, -3*j + f = 72 - 20. Let a(m) = m**2 + 18*m + 33. What is a(j)?\n' | b'1\n' | b'Suppose 5*j + 2*f + 72 = 0, -3*j + f = 72 - 20. Let a(m) = m**2 + 18*m + 33. What is a(j)?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((z*z**(-5))/z*z)/(((z*z**(-8/9))/z)/z))**(2/37) assuming z is positive.\n' | b'z**(-38/333)\n' | b'Simplify (((z*z**(-5))/z*z)/(((z*z**(-8/9))/z)/z))**(2/37) assuming z is positive.\n' | b'z**(-38/333)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ybyy when four letters picked without replacement from yyiiiygbyyiyixiygyg.\n' | b'7/1938\n' | b'Calculate prob of sequence ybyy when four letters picked without replacement from yyiiiygbyyiyixiygyg.\n' | b'7/1938\n' | deepmind/math_dataset |
b'Two letters picked without replacement from quqqqquu. What is prob of sequence uq?\n' | b'15/56\n' | b'Two letters picked without replacement from quqqqquu. What is prob of sequence uq?\n' | b'15/56\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 9, s: 1, z: 1, l: 2, w: 6}. Give prob of picking 2 w, 1 z, and 1 h.\n' | b'45/1292\n' | b'Four letters picked without replacement from {h: 9, s: 1, z: 1, l: 2, w: 6}. Give prob of picking 2 w, 1 z, and 1 h.\n' | b'45/1292\n' | deepmind/math_dataset |
b'Let a(l) = 4*l + 1. Suppose -25 = -2*d + d - 4*y, d - 3*y = -10. Suppose r - d*b = -23, -2*r - 8 - 8 = -4*b. What is a(r)?\n' | b'9\n' | b'Let a(l) = 4*l + 1. Suppose -25 = -2*d + d - 4*y, d - 3*y = -10. Suppose r - d*b = -23, -2*r - 8 - 8 = -4*b. What is a(r)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((i*i*i/i**(-2))/i**(1/11))**47 assuming i is positive.\n' | b'i**(2538/11)\n' | b'Simplify ((i*i*i/i**(-2))/i**(1/11))**47 assuming i is positive.\n' | b'i**(2538/11)\n' | deepmind/math_dataset |
b'Simplify m*m**(-7)*m**(-1/2)*(m**(3/5)/m*m*m)**(-7) assuming m is positive.\n' | b'm**(-177/10)\n' | b'Simplify m*m**(-7)*m**(-1/2)*(m**(3/5)/m*m*m)**(-7) assuming m is positive.\n' | b'm**(-177/10)\n' | deepmind/math_dataset |
b'Let g(b) = b**3 - 5*b**2 - 11*b + 28. Let r be g(6). Let c(z) = -z - 4. Let u(k) = -5*k - 19. Let s(y) = r*u(y) + 11*c(y). Give s(3).\n' | b'-9\n' | b'Let g(b) = b**3 - 5*b**2 - 11*b + 28. Let r be g(6). Let c(z) = -z - 4. Let u(k) = -5*k - 19. Let s(y) = r*u(y) + 11*c(y). Give s(3).\n' | b'-9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmzmmzm. What is prob of picking 2 m and 1 z?\n' | b'15/28\n' | b'Three letters picked without replacement from mmmzmmzm. What is prob of picking 2 m and 1 z?\n' | b'15/28\n' | deepmind/math_dataset |
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