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'Three letters picked without replacement from {n: 1, s: 2, x: 3, q: 4, b: 3, m: 6}. Give prob of picking 1 s, 1 m, and 1 n.\n' | b'4/323\n' | b'Three letters picked without replacement from {n: 1, s: 2, x: 3, q: 4, b: 3, m: 6}. Give prob of picking 1 s, 1 m, and 1 n.\n' | b'4/323\n' | deepmind/math_dataset |
b'Let a(c) = c**2 - 5*c + 1. Suppose 0*h - 6 = -h. Let r = h + -3. Determine a(r).\n' | b'-5\n' | b'Let a(c) = c**2 - 5*c + 1. Suppose 0*h - 6 = -h. Let r = h + -3. Determine a(r).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y**(-2/3)*y**(-18))**(-15/7) assuming y is positive.\n' | b'y**40\n' | b'Simplify (y**(-2/3)*y**(-18))**(-15/7) assuming y is positive.\n' | b'y**40\n' | deepmind/math_dataset |
b'Let i = -159 - -163. Suppose 5*c - 1 = 4*z + 30, z = 3*c - 13. Solve -3*w = i*n + 1, -5*n = c*w - 2*w + 15 for w.\n' | b'5\n' | b'Let i = -159 - -163. Suppose 5*c - 1 = 4*z + 30, z = 3*c - 13. Solve -3*w = i*n + 1, -5*n = c*w - 2*w + 15 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Find the third derivative of 10430*n**3 - 10430*n**3 - 34*n**4 + 770*n**2 wrt n.\n' | b'-816*n\n' | b'Find the third derivative of 10430*n**3 - 10430*n**3 - 34*n**4 + 770*n**2 wrt n.\n' | b'-816*n\n' | deepmind/math_dataset |
b'Let h = -7 + 12. Let w(f) = f**3 + f**2 - f + 2. Let n = -1 + 1. Let a be w(n). Solve -g + a = -k, 4*g + 3*k = h*k + 6 for g.\n' | b'1\n' | b'Let h = -7 + 12. Let w(f) = f**3 + f**2 - f + 2. Let n = -1 + 1. Let a be w(n). Solve -g + a = -k, 4*g + 3*k = h*k + 6 for g.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 p when three letters picked without replacement from xfrrxrxpxfxrfxxfnn?\n' | b'1/136\n' | b'What is prob of picking 2 f and 1 p when three letters picked without replacement from xfrrxrxpxfxrfxxfnn?\n' | b'1/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence zvzk when four letters picked without replacement from {j: 2, v: 1, z: 3, k: 4, b: 6}.\n' | b'1/1820\n' | b'Calculate prob of sequence zvzk when four letters picked without replacement from {j: 2, v: 1, z: 3, k: 4, b: 6}.\n' | b'1/1820\n' | deepmind/math_dataset |
b'Simplify ((w/(w*w*(w*w**(-3)/w)/w)*(w/w**(1/2))/w*w**(-2)*w*((w*w*w**(3/5)*w*w)/w)/w*w)**(-15))**(-49) assuming w is positive.\n' | b'w**(7497/2)\n' | b'Simplify ((w/(w*w*(w*w**(-3)/w)/w)*(w/w**(1/2))/w*w**(-2)*w*((w*w*w**(3/5)*w*w)/w)/w*w)**(-15))**(-49) assuming w is positive.\n' | b'w**(7497/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fff. Give prob of picking 3 f.\n' | b'1\n' | b'Three letters picked without replacement from fff. Give prob of picking 3 f.\n' | b'1\n' | deepmind/math_dataset |
b'Let p(a) = -a**3 + a + 8. Let y = 5 - 6. Let k be (0*3/9)/y. Give p(k).\n' | b'8\n' | b'Let p(a) = -a**3 + a + 8. Let y = 5 - 6. Let k be (0*3/9)/y. Give p(k).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 x when three letters picked without replacement from rqhxqvrv.\n' | b'1/56\n' | b'Calculate prob of picking 2 v and 1 x when three letters picked without replacement from rqhxqvrv.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let w = 308 + -304. Solve 0 = 2*i - 5*g - 15, -g - 25 = w*i - 0*g for i.\n' | b'-5\n' | b'Let w = 308 + -304. Solve 0 = 2*i - 5*g - 15, -g - 25 = w*i - 0*g for i.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 3 h when three letters picked without replacement from {j: 8, r: 4, h: 4}?\n' | b'1/140\n' | b'What is prob of picking 3 h when three letters picked without replacement from {j: 8, r: 4, h: 4}?\n' | b'1/140\n' | deepmind/math_dataset |
b'Simplify (r**(-2/5))**(-4/5) assuming r is positive.\n' | b'r**(8/25)\n' | b'Simplify (r**(-2/5))**(-4/5) assuming r is positive.\n' | b'r**(8/25)\n' | deepmind/math_dataset |
b'Let s(g) = -28*g**2 - 16*g - 2. Let l(r) = -55*r**2 - 32*r - 5. Let w(n) = 2*l(n) - 5*s(n). Find the second derivative of w(f) wrt f.\n' | b'60\n' | b'Let s(g) = -28*g**2 - 16*g - 2. Let l(r) = -55*r**2 - 32*r - 5. Let w(n) = 2*l(n) - 5*s(n). Find the second derivative of w(f) wrt f.\n' | b'60\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from mrmmrmiomoxmmm.\n' | b'0\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from mrmmrmiomoxmmm.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(d) = 1. Let o(y) = -2*y**2 + 5 - 118*y + 115*y + y**2. Let s(f) = o(f) - 3*r(f). Give s(-3).\n' | b'2\n' | b'Let r(d) = 1. Let o(y) = -2*y**2 + 5 - 118*y + 115*y + y**2. Let s(f) = o(f) - 3*r(f). Give s(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Let f(o) = o - 1. Let w(y) = 3*y + 1. Let l be 5/20 - 3/(-4). Let j be w(l). Give f(j).\n' | b'3\n' | b'Let f(o) = o - 1. Let w(y) = 3*y + 1. Let l be 5/20 - 3/(-4). Let j be w(l). Give f(j).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oioooooooooiii. What is prob of picking 4 i?\n' | b'1/1001\n' | b'Four letters picked without replacement from oioooooooooiii. What is prob of picking 4 i?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iaiiaiaiiaaaaaiiiaia. What is prob of sequence ia?\n' | b'5/19\n' | b'Two letters picked without replacement from iaiiaiaiiaaaaaiiiaia. What is prob of sequence ia?\n' | b'5/19\n' | deepmind/math_dataset |
b'Suppose -2*u + 0*u = 0. Let i(y) be the second derivative of -y**3 - y**2 - 70*y. Let q(g) = 7*g + 2. Let o(s) = -6*i(s) - 5*q(s). Determine o(u).\n' | b'2\n' | b'Suppose -2*u + 0*u = 0. Let i(y) be the second derivative of -y**3 - y**2 - 70*y. Let q(g) = 7*g + 2. Let o(s) = -6*i(s) - 5*q(s). Determine o(u).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, g: 3, h: 1}. What is prob of sequence xg?\n' | b'3/20\n' | b'Two letters picked without replacement from {x: 1, g: 3, h: 1}. What is prob of sequence xg?\n' | b'3/20\n' | deepmind/math_dataset |
b'Suppose 5*z - 3*l - 1391 = 0, -4*z + l = -0*z - 1117. What is the first derivative of z*a**2 - 48*a**2 - 173 - 138*a**2 wrt a?\n' | b'188*a\n' | b'Suppose 5*z - 3*l - 1391 = 0, -4*z + l = -0*z - 1117. What is the first derivative of z*a**2 - 48*a**2 - 173 - 138*a**2 wrt a?\n' | b'188*a\n' | deepmind/math_dataset |
b'Let g = 16059 - 16055. Solve -4*o + 28 = -g*u, 5*u - 2*o + 27 = 1 for u.\n' | b'-4\n' | b'Let g = 16059 - 16055. Solve -4*o + 28 = -g*u, 5*u - 2*o + 27 = 1 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (d**1)**(-2/15)/((d**(2/5)*d)/(d*d/(d*d**(2/5))))*((d**(2/3))**(-2/5))**(-1) assuming d is positive.\n' | b'd**(-2/3)\n' | b'Simplify (d**1)**(-2/15)/((d**(2/5)*d)/(d*d/(d*d**(2/5))))*((d**(2/3))**(-2/5))**(-1) assuming d is positive.\n' | b'd**(-2/3)\n' | deepmind/math_dataset |
b'Simplify (r**(1/16))**28/((((r/(r/((r*r**(-24)/r)/r)))/r*r)/r)/(r*r*r**7*r)) assuming r is positive.\n' | b'r**(151/4)\n' | b'Simplify (r**(1/16))**28/((((r/(r/((r*r**(-24)/r)/r)))/r*r)/r)/(r*r*r**7*r)) assuming r is positive.\n' | b'r**(151/4)\n' | deepmind/math_dataset |
b'Simplify ((o**(-3/5)*o)/o)**(-2/125)*(o**(1/6)/o)**(1/25) assuming o is positive.\n' | b'o**(-89/3750)\n' | b'Simplify ((o**(-3/5)*o)/o)**(-2/125)*(o**(1/6)/o)**(1/25) assuming o is positive.\n' | b'o**(-89/3750)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hjdqdqy.\n' | b'1/21\n' | b'Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hjdqdqy.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence vc when two letters picked without replacement from cccccccccccccvcccccc.\n' | b'1/20\n' | b'Calculate prob of sequence vc when two letters picked without replacement from cccccccccccccvcccccc.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let u(g) be the first derivative of 23*g**4/4 - g**3/3 + g**2/2 - 109. Give u(1).\n' | b'23\n' | b'Let u(g) be the first derivative of 23*g**4/4 - g**3/3 + g**2/2 - 109. Give u(1).\n' | b'23\n' | deepmind/math_dataset |
b'Let o be ((-42)/(-36))/(1/6). Solve 4*f - 1 = 3*t - 8, 5*t - 2*f - o = 0 for t.\n' | b'1\n' | b'Let o be ((-42)/(-36))/(1/6). Solve 4*f - 1 = 3*t - 8, 5*t - 2*f - o = 0 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ljrlljjjljrjl. What is prob of picking 3 l?\n' | b'5/143\n' | b'Three letters picked without replacement from ljrlljjjljrjl. What is prob of picking 3 l?\n' | b'5/143\n' | deepmind/math_dataset |
b'Let h(z) = z - 1. Let g be h(1). Let s(m) = m**3 - 5*m**2 - 23*m + 7. Let l be s(9). Let c = -122 + l. Solve g = -c*b - 4*o - 20, 8*o = 5*b + 3*o - 25 for b.\n' | b'0\n' | b'Let h(z) = z - 1. Let g be h(1). Let s(m) = m**3 - 5*m**2 - 23*m + 7. Let l be s(9). Let c = -122 + l. Solve g = -c*b - 4*o - 20, 8*o = 5*b + 3*o - 25 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify p**(6/5)/p*p**(-2)*((p/(p/(p/((p/(p/p**(-1/2)))/p))))/p)**(-27) assuming p is positive.\n' | b'p**(-423/10)\n' | b'Simplify p**(6/5)/p*p**(-2)*((p/(p/(p/((p/(p/p**(-1/2)))/p))))/p)**(-27) assuming p is positive.\n' | b'p**(-423/10)\n' | deepmind/math_dataset |
b'Suppose 5*j + 5*l + 10 = 0, l = -l - 4. Suppose j = -n + 4*n - 12. Suppose 9 = -n*h + 17. Solve 0 = -i - i - h*s, 4*s = -i - 6 for i.\n' | b'2\n' | b'Suppose 5*j + 5*l + 10 = 0, l = -l - 4. Suppose j = -n + 4*n - 12. Suppose 9 = -n*h + 17. Solve 0 = -i - i - h*s, 4*s = -i - 6 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from atzhjzzhttzttata. What is prob of sequence azj?\n' | b'1/280\n' | b'Three letters picked without replacement from atzhjzzhttzttata. What is prob of sequence azj?\n' | b'1/280\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 e when two letters picked without replacement from wywewwwwewwymwyy?\n' | b'1/15\n' | b'What is prob of picking 1 y and 1 e when two letters picked without replacement from wywewwwwewwymwyy?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence fv when two letters picked without replacement from {m: 1, v: 1, i: 1, l: 1, f: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence fv when two letters picked without replacement from {m: 1, v: 1, i: 1, l: 1, f: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 7, u: 4}. What is prob of picking 2 q?\n' | b'21/55\n' | b'Two letters picked without replacement from {q: 7, u: 4}. What is prob of picking 2 q?\n' | b'21/55\n' | deepmind/math_dataset |
b'Simplify (i*i**(2/5)*i*i*((i/(i/i**(-6)))/i*i*i*i)/i)/(i**(2/5))**(-3/25) assuming i is positive.\n' | b'i**(-194/125)\n' | b'Simplify (i*i**(2/5)*i*i*((i/(i/i**(-6)))/i*i*i*i)/i)/(i**(2/5))**(-3/25) assuming i is positive.\n' | b'i**(-194/125)\n' | deepmind/math_dataset |
b'Suppose 0 = -22*j + j + 105. Solve 0 = -j*d - c + 4*c + 20, 3*d = -3*c + 12 for d.\n' | b'4\n' | b'Suppose 0 = -22*j + j + 105. Solve 0 = -j*d - c + 4*c + 20, 3*d = -3*c + 12 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let s(h) be the second derivative of 5*h**7/42 - 5*h**3/3 - 15*h. Find the second derivative of s(l) wrt l.\n' | b'100*l**3\n' | b'Let s(h) be the second derivative of 5*h**7/42 - 5*h**3/3 - 15*h. Find the second derivative of s(l) wrt l.\n' | b'100*l**3\n' | deepmind/math_dataset |
b'Suppose m - r - 2 = -3*m, 0 = m - 5*r - 10. Suppose m = -2*i + 7*i. Let j(s) = 4*s - 4. Let p be j(4). Solve 4*d - 1 - 7 = -2*c, 3*d - p = i for c.\n' | b'-4\n' | b'Suppose m - r - 2 = -3*m, 0 = m - 5*r - 10. Suppose m = -2*i + 7*i. Let j(s) = 4*s - 4. Let p be j(4). Solve 4*d - 1 - 7 = -2*c, 3*d - p = i for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((b/b**(6/7))/(b/(b**8*b*b))*(b**(2/13)*b)/(b**(4/3)*b))/(((b*b/(b**(-2)*b)*b)/b)**20*(b*b/((b*b**(1/2))/b))**(-33)) assuming b is positive.\n' | b'b**(-1385/546)\n' | b'Simplify ((b/b**(6/7))/(b/(b**8*b*b))*(b**(2/13)*b)/(b**(4/3)*b))/(((b*b/(b**(-2)*b)*b)/b)**20*(b*b/((b*b**(1/2))/b))**(-33)) assuming b is positive.\n' | b'b**(-1385/546)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 2 s, and 1 j when four letters picked without replacement from sksssjkkjsj.\n' | b'3/11\n' | b'Calculate prob of picking 1 k, 2 s, and 1 j when four letters picked without replacement from sksssjkkjsj.\n' | b'3/11\n' | deepmind/math_dataset |
b'Let u(i) be the third derivative of -2*i**6/5 - 35*i**4/24 - i**3/6 + 28*i**2. Find the second derivative of u(f) wrt f.\n' | b'-288*f\n' | b'Let u(i) be the third derivative of -2*i**6/5 - 35*i**4/24 - i**3/6 + 28*i**2. Find the second derivative of u(f) wrt f.\n' | b'-288*f\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwczwninw. Give prob of picking 1 c, 2 w, and 1 i.\n' | b'1/21\n' | b'Four letters picked without replacement from wwczwninw. Give prob of picking 1 c, 2 w, and 1 i.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let g(c) = c. Let j be g(0). Suppose -a - 10 = -3*n + 3*a, 5*n + 5*a - 40 = j. Let b(i) = -i**3 + 3*i**2 - 3*i**3 + 5*i**3 - 5*i - n. Calculate b(-4).\n' | b'-2\n' | b'Let g(c) = c. Let j be g(0). Suppose -a - 10 = -3*n + 3*a, 5*n + 5*a - 40 = j. Let b(i) = -i**3 + 3*i**2 - 3*i**3 + 5*i**3 - 5*i - n. Calculate b(-4).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (j**(-4)*j)**(2/69)/(j/(j**(-2/25)/j)*j/(j**(-5)/j)*j) assuming j is positive.\n' | b'j**(-5846/575)\n' | b'Simplify (j**(-4)*j)**(2/69)/(j/(j**(-2/25)/j)*j/(j**(-5)/j)*j) assuming j is positive.\n' | b'j**(-5846/575)\n' | deepmind/math_dataset |
b'Let z(s) = -3*s. Let p(k) = -1. Let f(g) = -2*p(g) - z(g). Let b be 0/1*(-3)/(-3). Let q = -2 + b. Calculate f(q).\n' | b'-4\n' | b'Let z(s) = -3*s. Let p(k) = -1. Let f(g) = -2*p(g) - z(g). Let b be 0/1*(-3)/(-3). Let q = -2 + b. Calculate f(q).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 5, w: 2, n: 4}. What is prob of sequence nc?\n' | b'2/11\n' | b'Two letters picked without replacement from {c: 5, w: 2, n: 4}. What is prob of sequence nc?\n' | b'2/11\n' | deepmind/math_dataset |
b'Suppose -7 = -4*c - 2*l + 3, -1 = -l. Let p be 3 - (-9 + 3 + 4). Let h(f) = p*f + c + 0*f - 5*f - 6*f. Calculate h(2).\n' | b'-10\n' | b'Suppose -7 = -4*c - 2*l + 3, -1 = -l. Let p be 3 - (-9 + 3 + 4). Let h(f) = p*f + c + 0*f - 5*f - 6*f. Calculate h(2).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, l: 1, d: 1, r: 1, z: 1}. What is prob of picking 1 l and 1 r?\n' | b'1/10\n' | b'Two letters picked without replacement from {q: 1, l: 1, d: 1, r: 1, z: 1}. What is prob of picking 1 l and 1 r?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f(k) = -24 + 46 + k - 19. Give f(-6).\n' | b'-3\n' | b'Let f(k) = -24 + 46 + k - 19. Give f(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jttwwfffttjwtjwtttwt. What is prob of sequence tjwf?\n' | b'9/2584\n' | b'Four letters picked without replacement from jttwwfffttjwtjwtttwt. What is prob of sequence tjwf?\n' | b'9/2584\n' | deepmind/math_dataset |
b'Let z(l) be the third derivative of l**5/60 + 11*l**4/24 + 3*l**3/2 + 2*l**2. Let t be (3 - 0) + 20*(-5)/(-2). Let q = t + -59. Give z(q).\n' | b'-21\n' | b'Let z(l) be the third derivative of l**5/60 + 11*l**4/24 + 3*l**3/2 + 2*l**2. Let t be (3 - 0) + 20*(-5)/(-2). Let q = t + -59. Give z(q).\n' | b'-21\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a and 2 v when four letters picked without replacement from {v: 10, a: 9}.\n' | b'135/323\n' | b'Calculate prob of picking 2 a and 2 v when four letters picked without replacement from {v: 10, a: 9}.\n' | b'135/323\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, l: 2, g: 2, s: 1, z: 1, e: 4}.\n' | b'2/33\n' | b'Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, l: 2, g: 2, s: 1, z: 1, e: 4}.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let d = 449 + -606. Let t = -154 - d. Let b be 2*((-9)/(-6) - 0). Solve -3*f + t*o = -f + 4, b*f + 13 = o for f.\n' | b'-5\n' | b'Let d = 449 + -606. Let t = -154 - d. Let b be 2*((-9)/(-6) - 0). Solve -3*f + t*o = -f + 4, b*f + 13 = o for f.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence dr when two letters picked without replacement from ttrtztrtdtrrz?\n' | b'1/39\n' | b'What is prob of sequence dr when two letters picked without replacement from ttrtztrtdtrrz?\n' | b'1/39\n' | deepmind/math_dataset |
b'Let a(h) = 2977*h**2 + 4*h + 576. Let k(r) = -8924*r**2 - 13*r - 1730. Let m(c) = 10*a(c) + 3*k(c). What is the second derivative of m(x) wrt x?\n' | b'5996\n' | b'Let a(h) = 2977*h**2 + 4*h + 576. Let k(r) = -8924*r**2 - 13*r - 1730. Let m(c) = 10*a(c) + 3*k(c). What is the second derivative of m(x) wrt x?\n' | b'5996\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 1, v: 1, g: 3, r: 1, n: 14}. Give prob of sequence ngrv.\n' | b'7/19380\n' | b'Four letters picked without replacement from {h: 1, v: 1, g: 3, r: 1, n: 14}. Give prob of sequence ngrv.\n' | b'7/19380\n' | deepmind/math_dataset |
b'What is the second derivative of 22*y**4 + 1 - 16*y**4 + 2*y - 1 wrt y?\n' | b'72*y**2\n' | b'What is the second derivative of 22*y**4 + 1 - 16*y**4 + 2*y - 1 wrt y?\n' | b'72*y**2\n' | deepmind/math_dataset |
b'Let l(p) = 8*p + p**2 - 59*p**3 + 25 - 113*p + 101*p - 21. Give l(1).\n' | b'-58\n' | b'Let l(p) = 8*p + p**2 - 59*p**3 + 25 - 113*p + 101*p - 21. Give l(1).\n' | b'-58\n' | deepmind/math_dataset |
b'Let o(r) = r**2 + 14*r - 1 - 1 - 18*r. Let c be o(5). What is the third derivative of c*q**2 + 2*q**4 - 3*q**5 + 0*q**4 - 2*q**4 wrt q?\n' | b'-180*q**2\n' | b'Let o(r) = r**2 + 14*r - 1 - 1 - 18*r. Let c be o(5). What is the third derivative of c*q**2 + 2*q**4 - 3*q**5 + 0*q**4 - 2*q**4 wrt q?\n' | b'-180*q**2\n' | deepmind/math_dataset |
b'What is the third derivative of -133*g**2 + 876*g**2 + 191*g**2 - 2802*g**3 wrt g?\n' | b'-16812\n' | b'What is the third derivative of -133*g**2 + 876*g**2 + 191*g**2 - 2802*g**3 wrt g?\n' | b'-16812\n' | deepmind/math_dataset |
b'Suppose -271*y + 274*y = -4*k + 20, k + 4*y - 5 = 0. Solve -k*j - 10 = -3*j - 4*f, 2*j - 2*f = -2 for j.\n' | b'3\n' | b'Suppose -271*y + 274*y = -4*k + 20, k + 4*y - 5 = 0. Solve -k*j - 10 = -3*j - 4*f, 2*j - 2*f = -2 for j.\n' | b'3\n' | deepmind/math_dataset |
b'What is the derivative of -3*x**4 - 7*x**4 + 14 + x**4 + 0*x**4 wrt x?\n' | b'-36*x**3\n' | b'What is the derivative of -3*x**4 - 7*x**4 + 14 + x**4 + 0*x**4 wrt x?\n' | b'-36*x**3\n' | deepmind/math_dataset |
b'Simplify (b**0)**43/(b*b**(-1/2)/b*b*b**10) assuming b is positive.\n' | b'b**(-21/2)\n' | b'Simplify (b**0)**43/(b*b**(-1/2)/b*b*b**10) assuming b is positive.\n' | b'b**(-21/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vo when two letters picked without replacement from eeoenovlvoveejneoe.\n' | b'2/51\n' | b'Calculate prob of sequence vo when two letters picked without replacement from eeoenovlvoveejneoe.\n' | b'2/51\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 y, and 1 o when three letters picked without replacement from {l: 6, o: 3, n: 2, y: 1, x: 3}?\n' | b'18/455\n' | b'What is prob of picking 1 l, 1 y, and 1 o when three letters picked without replacement from {l: 6, o: 3, n: 2, y: 1, x: 3}?\n' | b'18/455\n' | deepmind/math_dataset |
b'Simplify ((u/u**(-2))/u**(-4))/(u**7*u**(-1)/u)*u**3/(u/u**(-1/2))*(u/u**0)**(-6) assuming u is positive.\n' | b'u**(-5/2)\n' | b'Simplify ((u/u**(-2))/u**(-4))/(u**7*u**(-1)/u)*u**3/(u/u**(-1/2))*(u/u**0)**(-6) assuming u is positive.\n' | b'u**(-5/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence yzy when three letters picked without replacement from {y: 5, z: 1, t: 5}.\n' | b'2/99\n' | b'Calculate prob of sequence yzy when three letters picked without replacement from {y: 5, z: 1, t: 5}.\n' | b'2/99\n' | deepmind/math_dataset |
b'Simplify w**6/(w/(w/((w/w**(2/9))/w*w)))*w/w**(-4)*w*w**(2/17)*(w*w**2)/w**(-2/5)*w**(-2)*w/(w*w*w/(((w/(w*w**(-6))*w)/w)/w*w)*w) assuming w is positive.\n' | b'w**(12041/765)\n' | b'Simplify w**6/(w/(w/((w/w**(2/9))/w*w)))*w/w**(-4)*w*w**(2/17)*(w*w**2)/w**(-2/5)*w**(-2)*w/(w*w*w/(((w/(w*w**(-6))*w)/w)/w*w)*w) assuming w is positive.\n' | b'w**(12041/765)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, z: 2, s: 1, w: 7, f: 3}. What is prob of picking 1 h and 1 z?\n' | b'2/91\n' | b'Two letters picked without replacement from {h: 1, z: 2, s: 1, w: 7, f: 3}. What is prob of picking 1 h and 1 z?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify u**(1/2)/(u*u**21*u)*u*u**2*u*u**(-21)*u assuming u is positive.\n' | b'u**(-77/2)\n' | b'Simplify u**(1/2)/(u*u**21*u)*u*u**2*u*u**(-21)*u assuming u is positive.\n' | b'u**(-77/2)\n' | deepmind/math_dataset |
b'Simplify (((g**(-1/4)/g)/((g**(-3/8)/g)/g*g)*g**(-2/7)/((g/(g/g**(-13))*g)/g))**(-12))**(-7/5) assuming g is positive.\n' | b'g**(2157/10)\n' | b'Simplify (((g**(-1/4)/g)/((g**(-3/8)/g)/g*g)*g**(-2/7)/((g/(g/g**(-13))*g)/g))**(-12))**(-7/5) assuming g is positive.\n' | b'g**(2157/10)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {r: 6, g: 1, a: 4}.\n' | b'4/55\n' | b'Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {r: 6, g: 1, a: 4}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let y(o) be the third derivative of o**5/30 + 7*o**4/24 + 5*o**3/6 + 2*o**2. Suppose b = 19 + 4. Let h = b - 27. Calculate y(h).\n' | b'9\n' | b'Let y(o) be the third derivative of o**5/30 + 7*o**4/24 + 5*o**3/6 + 2*o**2. Suppose b = 19 + 4. Let h = b - 27. Calculate y(h).\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of sequence llll when four letters picked without replacement from {u: 2, l: 8}?\n' | b'1/3\n' | b'What is prob of sequence llll when four letters picked without replacement from {u: 2, l: 8}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let g(n) be the first derivative of 0*n - 210 + 17/3*n**3 - 142/5*n**5 + 0*n**4 + 0*n**2. What is the third derivative of g(f) wrt f?\n' | b'-3408*f\n' | b'Let g(n) be the first derivative of 0*n - 210 + 17/3*n**3 - 142/5*n**5 + 0*n**4 + 0*n**2. What is the third derivative of g(f) wrt f?\n' | b'-3408*f\n' | deepmind/math_dataset |
b'Let u = -18167 - -18190. Solve u = -5*l - 2*y, 5*y - 126 = 3*l - 106 for l.\n' | b'-5\n' | b'Let u = -18167 - -18190. Solve u = -5*l - 2*y, 5*y - 126 = 3*l - 106 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 7632*h = 7597*h + 1715. Solve 3*p - h + 30 = -4*z, p - 5*z = 0 for p.\n' | b'5\n' | b'Suppose 7632*h = 7597*h + 1715. Solve 3*p - h + 30 = -4*z, p - 5*z = 0 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let c be 2/4 - (-3)/2. Let b(d) = 3 - 5 + 2 + 1 - c*d. Let y(r) = 1. Let h(k) = -b(k) + 4*y(k). Find the first derivative of h(g) wrt g.\n' | b'2\n' | b'Let c be 2/4 - (-3)/2. Let b(d) = 3 - 5 + 2 + 1 - c*d. Let y(r) = 1. Let h(k) = -b(k) + 4*y(k). Find the first derivative of h(g) wrt g.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 g when four letters picked without replacement from guupuguuguuuugugug.\n' | b'1/204\n' | b'Calculate prob of picking 4 g when four letters picked without replacement from guupuguuguuuugugug.\n' | b'1/204\n' | deepmind/math_dataset |
b'Suppose 6*i - 2*i = -3*v + 31, -5*i = v - 25. Find the third derivative of 0*f**4 + 0*f**i + 2*f**6 + 3*f**2 wrt f.\n' | b'240*f**3\n' | b'Suppose 6*i - 2*i = -3*v + 31, -5*i = v - 25. Find the third derivative of 0*f**4 + 0*f**i + 2*f**6 + 3*f**2 wrt f.\n' | b'240*f**3\n' | deepmind/math_dataset |
b'Simplify q**13*q**(-1/5) assuming q is positive.\n' | b'q**(64/5)\n' | b'Simplify q**13*q**(-1/5) assuming q is positive.\n' | b'q**(64/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from spaqosqm. Give prob of sequence opqo.\n' | b'0\n' | b'Four letters picked without replacement from spaqosqm. Give prob of sequence opqo.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence px when two letters picked without replacement from bxpcxlc?\n' | b'1/21\n' | b'What is prob of sequence px when two letters picked without replacement from bxpcxlc?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zpazpzpzjparrjazzz. What is prob of picking 1 j and 1 a?\n' | b'2/51\n' | b'Two letters picked without replacement from zpazpzpzjparrjazzz. What is prob of picking 1 j and 1 a?\n' | b'2/51\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from {w: 1, h: 6, v: 7, y: 2, z: 2}?\n' | b'1/153\n' | b'What is prob of sequence zz when two letters picked without replacement from {w: 1, h: 6, v: 7, y: 2, z: 2}?\n' | b'1/153\n' | deepmind/math_dataset |
b'Simplify (((r*r**(-1/3)/r)/(r**(-4)/r*r*r))**(-49))**(-3/7) assuming r is positive.\n' | b'r**56\n' | b'Simplify (((r*r**(-1/3)/r)/(r**(-4)/r*r*r))**(-49))**(-3/7) assuming r is positive.\n' | b'r**56\n' | deepmind/math_dataset |
b'Let c = 610 + -608. Let f(i) be the second derivative of 0 + 0*i**4 - 1/2*i**3 + 0*i**c - 2/5*i**5 - 8*i. What is the second derivative of f(j) wrt j?\n' | b'-48*j\n' | b'Let c = 610 + -608. Let f(i) be the second derivative of 0 + 0*i**4 - 1/2*i**3 + 0*i**c - 2/5*i**5 - 8*i. What is the second derivative of f(j) wrt j?\n' | b'-48*j\n' | deepmind/math_dataset |
b'Simplify ((((b**(2/7)*b)/b)/b**(-3/5))/((b*(b**0/b*b)/b)/b*b*b)**9)/((b**0*b)**3)**41 assuming b is positive.\n' | b'b**(-4589/35)\n' | b'Simplify ((((b**(2/7)*b)/b)/b**(-3/5))/((b*(b**0/b*b)/b)/b*b*b)**9)/((b**0*b)**3)**41 assuming b is positive.\n' | b'b**(-4589/35)\n' | deepmind/math_dataset |
b'Simplify h**(-18)/h*(h**(-19/3)/h)/h assuming h is positive.\n' | b'h**(-82/3)\n' | b'Simplify h**(-18)/h*(h**(-19/3)/h)/h assuming h is positive.\n' | b'h**(-82/3)\n' | deepmind/math_dataset |
b'What is prob of picking 3 p and 1 h when four letters picked without replacement from {c: 3, d: 1, n: 3, f: 1, h: 2, p: 8}?\n' | b'28/765\n' | b'What is prob of picking 3 p and 1 h when four letters picked without replacement from {c: 3, d: 1, n: 3, f: 1, h: 2, p: 8}?\n' | b'28/765\n' | deepmind/math_dataset |
b'What is prob of sequence hq when two letters picked without replacement from {h: 2, q: 6}?\n' | b'3/14\n' | b'What is prob of sequence hq when two letters picked without replacement from {h: 2, q: 6}?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((((m/(m/(m**(-2)/m)))/m)/m**(-4))/(m/(m*m/(m/m**(-1/4))))**(-2/23))**(-2/63) assuming m is positive.\n' | b'm**(-1/1449)\n' | b'Simplify ((((m/(m/(m**(-2)/m)))/m)/m**(-4))/(m/(m*m/(m/m**(-1/4))))**(-2/23))**(-2/63) assuming m is positive.\n' | b'm**(-1/1449)\n' | deepmind/math_dataset |
b'Simplify (k**9*k**(-5/6)/k*k)**21 assuming k is positive.\n' | b'k**(343/2)\n' | b'Simplify (k**9*k**(-5/6)/k*k)**21 assuming k is positive.\n' | b'k**(343/2)\n' | deepmind/math_dataset |
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