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 = -1 - -5. Suppose 2*a = -5*u - 11 + 36, -4*a - 10 = -2*u. Solve 0 = d - a + 2, 0 = 5*p + c*d + 28 for p.\n' | b'-4\n' | b'Let c = -1 - -5. Suppose 2*a = -5*u - 11 + 36, -4*a - 10 = -2*u. Solve 0 = d - a + 2, 0 = 5*p + c*d + 28 for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((i**(-2))**(-39))**(-2/59))**(5/3) assuming i is positive.\n' | b'i**(-260/59)\n' | b'Simplify (((i**(-2))**(-39))**(-2/59))**(5/3) assuming i is positive.\n' | b'i**(-260/59)\n' | deepmind/math_dataset |
b'Let j be 11 - (1 + 6 + -3). Let d(u) = -7*u - 5*u + 11*u + j. Let f be 2/4 + 9/2. Determine d(f).\n' | b'2\n' | b'Let j be 11 - (1 + 6 + -3). Let d(u) = -7*u - 5*u + 11*u + j. Let f be 2/4 + 9/2. Determine d(f).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify j/j**(-9/4)*j**2*j assuming j is positive.\n' | b'j**(25/4)\n' | b'Simplify j/j**(-9/4)*j**2*j assuming j is positive.\n' | b'j**(25/4)\n' | deepmind/math_dataset |
b'Let l = 31 - 29. Solve 2*u = -q - 2*u + 1, l*q + 3*u - 7 = 0 for q.\n' | b'5\n' | b'Let l = 31 - 29. Solve 2*u = -q - 2*u + 1, l*q + 3*u - 7 = 0 for q.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cxhccxxchhc. What is prob of sequence xxch?\n' | b'1/88\n' | b'Four letters picked without replacement from cxhccxxchhc. What is prob of sequence xxch?\n' | b'1/88\n' | deepmind/math_dataset |
b'Suppose v = -0*h + 2*h - 1, -4*h + 17 = v. Suppose -4*k + 3*l = -0*l - 75, 5*k - 60 = -h*l. Solve m = 2*s - 3, m + 0*s - 5*s + k = 0 for m.\n' | b'5\n' | b'Suppose v = -0*h + 2*h - 1, -4*h + 17 = v. Suppose -4*k + 3*l = -0*l - 75, 5*k - 60 = -h*l. Solve m = 2*s - 3, m + 0*s - 5*s + k = 0 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Let i = 10301 + -10290. Solve -i*s = -6*s - 15, 4*s - 21 = -3*a for a.\n' | b'3\n' | b'Let i = 10301 + -10290. Solve -i*s = -6*s - 15, 4*s - 21 = -3*a for a.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence bee when three letters picked without replacement from etehb.\n' | b'1/30\n' | b'Calculate prob of sequence bee when three letters picked without replacement from etehb.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let l(z) = 67*z - 3 + 73*z + 75*z - 221*z. Let g(f) = -5*f - 1. Let y(q) = -5*g(q) + 4*l(q). Determine y(14).\n' | b'7\n' | b'Let l(z) = 67*z - 3 + 73*z + 75*z - 221*z. Let g(f) = -5*f - 1. Let y(q) = -5*g(q) + 4*l(q). Determine y(14).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 b, and 2 u when four letters picked without replacement from ubxqxuxxfxmxqx?\n' | b'2/1001\n' | b'What is prob of picking 1 q, 1 b, and 2 u when four letters picked without replacement from ubxqxuxxfxmxqx?\n' | b'2/1001\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {t: 2, c: 6}?\n' | b'15/28\n' | b'What is prob of sequence cc when two letters picked without replacement from {t: 2, c: 6}?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let u = -51 - -56. Let l(k) = -7*k**2 + 4*k - 8. Let a(h) = -6*h**2 + 3*h - 7. Let c(y) = u*l(y) - 6*a(y). Calculate c(-4).\n' | b'10\n' | b'Let u = -51 - -56. Let l(k) = -7*k**2 + 4*k - 8. Let a(h) = -6*h**2 + 3*h - 7. Let c(y) = u*l(y) - 6*a(y). Calculate c(-4).\n' | b'10\n' | deepmind/math_dataset |
b'Let h(r) be the first derivative of -5*r**9/1008 + 17*r**6/180 - 5*r**3 - 47. Let x(g) be the third derivative of h(g). Find the third derivative of x(u) wrt u.\n' | b'-900*u**2\n' | b'Let h(r) be the first derivative of -5*r**9/1008 + 17*r**6/180 - 5*r**3 - 47. Let x(g) be the third derivative of h(g). Find the third derivative of x(u) wrt u.\n' | b'-900*u**2\n' | deepmind/math_dataset |
b'Simplify (c**1)**46/(c*c/c**11*c**4) assuming c is positive.\n' | b'c**51\n' | b'Simplify (c**1)**46/(c*c/c**11*c**4) assuming c is positive.\n' | b'c**51\n' | deepmind/math_dataset |
b'Suppose -4*m = 38 - 78. Let o(u) = -2 - 2 + 11 + 3 - 3*u + 1. Determine o(m).\n' | b'-19\n' | b'Suppose -4*m = 38 - 78. Let o(u) = -2 - 2 + 11 + 3 - 3*u + 1. Determine o(m).\n' | b'-19\n' | deepmind/math_dataset |
b'Let q(z) = z - 1. Let n(d) = -4*d + 6. Let v be ((-6)/4)/((-6)/(-8)). Let k(i) = v*n(i) - 11*q(i). Differentiate k(h) wrt h.\n' | b'-3\n' | b'Let q(z) = z - 1. Let n(d) = -4*d + 6. Let v be ((-6)/4)/((-6)/(-8)). Let k(i) = v*n(i) - 11*q(i). Differentiate k(h) wrt h.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, t: 11}.\n' | b'1/4\n' | b'Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, t: 11}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let p be (445/178)/((-5)/(-30)). Solve 0 = -i + 5*f - 10, -14*f = -4*i - p*f + 23 for i.\n' | b'5\n' | b'Let p be (445/178)/((-5)/(-30)). Solve 0 = -i + 5*f - 10, -14*f = -4*i - p*f + 23 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Let o(k) = -20*k + 17. Let h(z) = -7*z + 6. Let l(g) = -11*h(g) + 4*o(g). Let f(u) be the first derivative of -3*u**2/2 + u + 8. Let s be f(1). Calculate l(s).\n' | b'8\n' | b'Let o(k) = -20*k + 17. Let h(z) = -7*z + 6. Let l(g) = -11*h(g) + 4*o(g). Let f(u) be the first derivative of -3*u**2/2 + u + 8. Let s be f(1). Calculate l(s).\n' | b'8\n' | deepmind/math_dataset |
b'Let j(u) be the second derivative of u**4/4 + u**2 - 56*u. Determine j(-2).\n' | b'14\n' | b'Let j(u) be the second derivative of u**4/4 + u**2 - 56*u. Determine j(-2).\n' | b'14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 1 j, and 1 r when three letters picked without replacement from akajekkkrkaa.\n' | b'1/55\n' | b'Calculate prob of picking 1 a, 1 j, and 1 r when three letters picked without replacement from akajekkkrkaa.\n' | b'1/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 1, r: 1, j: 2}. Give prob of sequence jhrj.\n' | b'1/12\n' | b'Four letters picked without replacement from {h: 1, r: 1, j: 2}. Give prob of sequence jhrj.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose 54*f - 55 = -95 + 40. Let s be (12/(-10))/((-4)/10). Suppose 3*z = -3*p - p + 34, s*z = 2*p - 26. Solve 3*n + p = -w, f*w - w = 2*n + 5 for w.\n' | b'5\n' | b'Suppose 54*f - 55 = -95 + 40. Let s be (12/(-10))/((-4)/10). Suppose 3*z = -3*p - p + 34, s*z = 2*p - 26. Solve 3*n + p = -w, f*w - w = 2*n + 5 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let q(p) = p**2 + 9*p + 4. Let i be q(-9). Solve 0 = -n, 13 = 4*u + i*n - 7 for u.\n' | b'5\n' | b'Let q(p) = p**2 + 9*p + 4. Let i be q(-9). Solve 0 = -n, 13 = 4*u + i*n - 7 for u.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence jtpt when four letters picked without replacement from {t: 2, u: 2, j: 1, p: 1, y: 2}?\n' | b'1/840\n' | b'What is prob of sequence jtpt when four letters picked without replacement from {t: 2, u: 2, j: 1, p: 1, y: 2}?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let t = 405 + -403. Let r(a) = -4*a**t - 91*a + 3*a**2 + 101*a + 4 + 4. Give r(8).\n' | b'24\n' | b'Let t = 405 + -403. Let r(a) = -4*a**t - 91*a + 3*a**2 + 101*a + 4 + 4. Give r(8).\n' | b'24\n' | deepmind/math_dataset |
b'Let h(q) be the first derivative of q**3/3 - q**2/2 - 3*q - 8. Let o be ((-3)/(-2))/((-1)/(-6)). Suppose 0 = 3*l, 0*l = -3*w + 3*l - o. Calculate h(w).\n' | b'9\n' | b'Let h(q) be the first derivative of q**3/3 - q**2/2 - 3*q - 8. Let o be ((-3)/(-2))/((-1)/(-6)). Suppose 0 = 3*l, 0*l = -3*w + 3*l - o. Calculate h(w).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (o**(-4/15)/o)/(o*o/((o**(-2/45)*o)/o)) assuming o is positive.\n' | b'o**(-149/45)\n' | b'Simplify (o**(-4/15)/o)/(o*o/((o**(-2/45)*o)/o)) assuming o is positive.\n' | b'o**(-149/45)\n' | deepmind/math_dataset |
b'Let n(p) be the first derivative of -1/2*p**2 - 76 - 42/5*p**5 + 0*p**4 + 9*p + 0*p**3. What is the second derivative of n(f) wrt f?\n' | b'-504*f**2\n' | b'Let n(p) be the first derivative of -1/2*p**2 - 76 - 42/5*p**5 + 0*p**4 + 9*p + 0*p**3. What is the second derivative of n(f) wrt f?\n' | b'-504*f**2\n' | deepmind/math_dataset |
b'Simplify f*f**(5/2)*f*f*f/(f**(-1/4)*f)*f*f/(f*f/((f/(f*f*f*f**(-9/4)))/f))*f*f*f**(9/5) assuming f is positive.\n' | b'f**(44/5)\n' | b'Simplify f*f**(5/2)*f*f*f/(f**(-1/4)*f)*f*f/(f*f/((f/(f*f*f*f**(-9/4)))/f))*f*f*f**(9/5) assuming f is positive.\n' | b'f**(44/5)\n' | deepmind/math_dataset |
b'What is prob of sequence owh when three letters picked without replacement from hwho?\n' | b'1/12\n' | b'What is prob of sequence owh when three letters picked without replacement from hwho?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -h + 8 = 3*h. Suppose y = -2*l + 23, 4*l + 3*y - 13 = h*l. Solve 0 = 5*p - 2*p - 4*g - 2, l = -5*p - 2*g for p.\n' | b'-2\n' | b'Suppose -h + 8 = 3*h. Suppose y = -2*l + 23, 4*l + 3*y - 13 = h*l. Solve 0 = 5*p - 2*p - 4*g - 2, l = -5*p - 2*g for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose m + 4*i - 4 = 0, 5*m - 6 + 3 = -3*i. Let y(v) = 4*v**2 - 4*v - 4. Let q(u) = -u**2 + u. Let f(n) = 5*q(n) + y(n). Calculate f(m).\n' | b'-4\n' | b'Suppose m + 4*i - 4 = 0, 5*m - 6 + 3 = -3*i. Let y(v) = 4*v**2 - 4*v - 4. Let q(u) = -u**2 + u. Let f(n) = 5*q(n) + y(n). Calculate f(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Let h be (-2 - 42/(-9))/(4/6). Let u be 6/10 - ((-82)/5 + h). Solve 5*x + 2*t - 35 = 0, t - 2 = -2*x + u for x.\n' | b'5\n' | b'Let h be (-2 - 42/(-9))/(4/6). Let u be 6/10 - ((-82)/5 + h). Solve 5*x + 2*t - 35 = 0, t - 2 = -2*x + u for x.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {v: 2, y: 1, d: 2, e: 1}.\n' | b'1/20\n' | b'Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {v: 2, y: 1, d: 2, e: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tgjuuuttjj. What is prob of picking 2 u, 1 j, and 1 g?\n' | b'3/70\n' | b'Four letters picked without replacement from tgjuuuttjj. What is prob of picking 2 u, 1 j, and 1 g?\n' | b'3/70\n' | deepmind/math_dataset |
b'Let y(l) = l**3 + 5*l**2 - 5*l + 7. Let i be y(-6). Let x be (-2)/40*-4*5. Let h be (i/x)/((-3)/(-9)). Solve 0 = -0*q + 2*q - 2*v, h*v - 4 = -q for q.\n' | b'1\n' | b'Let y(l) = l**3 + 5*l**2 - 5*l + 7. Let i be y(-6). Let x be (-2)/40*-4*5. Let h be (i/x)/((-3)/(-9)). Solve 0 = -0*q + 2*q - 2*v, h*v - 4 = -q for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(g) = 15 + 6*g - 6 - 6 - 8*g - 2. What is x(-8)?\n' | b'17\n' | b'Let x(g) = 15 + 6*g - 6 - 6 - 8*g - 2. What is x(-8)?\n' | b'17\n' | deepmind/math_dataset |
b'Suppose 0*v = 5*h + 4*v - 15, 4*h = -5*v + 12. Let l be (5 - -3 - 0)*(-3)/(-6). Solve h*y - 4*k = y - 12, -y - 12 = -l*k for y.\n' | b'0\n' | b'Suppose 0*v = 5*h + 4*v - 15, 4*h = -5*v + 12. Let l be (5 - -3 - 0)*(-3)/(-6). Solve h*y - 4*k = y - 12, -y - 12 = -l*k for y.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 x when two letters picked without replacement from txltlilxlxttlilxllli?\n' | b'6/95\n' | b'What is prob of picking 1 i and 1 x when two letters picked without replacement from txltlilxlxttlilxllli?\n' | b'6/95\n' | deepmind/math_dataset |
b'Let n(j) = j**2 - 7*j. Suppose 5*o - 5*l - 80 = 0, -3*o + 44 = -0*o - 5*l. Let w = -25 + 37. Let a = o - w. Give n(a).\n' | b'-6\n' | b'Let n(j) = j**2 - 7*j. Suppose 5*o - 5*l - 80 = 0, -3*o + 44 = -0*o - 5*l. Let w = -25 + 37. Let a = o - w. Give n(a).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (a/a**(-10/9)*a)**(3/2)/(((a/(a**(-21)/a*a*a))/a)/a)**(-11/8) assuming a is positive.\n' | b'a**(739/24)\n' | b'Simplify (a/a**(-10/9)*a)**(3/2)/(((a/(a**(-21)/a*a*a))/a)/a)**(-11/8) assuming a is positive.\n' | b'a**(739/24)\n' | deepmind/math_dataset |
b'Simplify y**(-1/11)/(y**(-1/2)/y)*(y**(-2/7))**(1/10) assuming y is positive.\n' | b'y**(1063/770)\n' | b'Simplify y**(-1/11)/(y**(-1/2)/y)*(y**(-2/7))**(1/10) assuming y is positive.\n' | b'y**(1063/770)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 6, v: 4, h: 2}. What is prob of sequence vho?\n' | b'2/55\n' | b'Three letters picked without replacement from {o: 6, v: 4, h: 2}. What is prob of sequence vho?\n' | b'2/55\n' | deepmind/math_dataset |
b'Let b be (-11)/2*48/(-132). Solve 2*q - 2 = 2*h, -b*q - 3*q = h + 25 for h.\n' | b'-5\n' | b'Let b be (-11)/2*48/(-132). Solve 2*q - 2 = 2*h, -b*q - 3*q = h + 25 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((w/(w**9*w)*w)/w)/(w/(w/(w**(2/3)/w))))/((w/w**(-2/21))/(w*w**(-4))) assuming w is positive.\n' | b'w**(-268/21)\n' | b'Simplify (((w/(w**9*w)*w)/w)/(w/(w/(w**(2/3)/w))))/((w/w**(-2/21))/(w*w**(-4))) assuming w is positive.\n' | b'w**(-268/21)\n' | deepmind/math_dataset |
b'Let n(x) = 1 - 2 - x + 0. Let i(m) = -4*m**3 - 2*m - 1. Let c be i(-1). Suppose g = 2*u + 5 - 2, g - c*u = 0. Calculate n(g).\n' | b'-6\n' | b'Let n(x) = 1 - 2 - x + 0. Let i(m) = -4*m**3 - 2*m - 1. Let c be i(-1). Suppose g = 2*u + 5 - 2, g - c*u = 0. Calculate n(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -5*z - 3*z = -344. Let q = z + -40. Differentiate 2*m**2 - 3*m**q - m**2 + 7 - m**2 wrt m.\n' | b'-9*m**2\n' | b'Suppose -5*z - 3*z = -344. Let q = z + -40. Differentiate 2*m**2 - 3*m**q - m**2 + 7 - m**2 wrt m.\n' | b'-9*m**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 3, u: 1, a: 3, h: 2, i: 1, w: 3}. Give prob of picking 1 w, 1 h, and 1 x.\n' | b'9/143\n' | b'Three letters picked without replacement from {x: 3, u: 1, a: 3, h: 2, i: 1, w: 3}. Give prob of picking 1 w, 1 h, and 1 x.\n' | b'9/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 5, m: 1, t: 2, a: 1, i: 1}. What is prob of sequence itt?\n' | b'1/360\n' | b'Three letters picked without replacement from {o: 5, m: 1, t: 2, a: 1, i: 1}. What is prob of sequence itt?\n' | b'1/360\n' | deepmind/math_dataset |
b'Calculate prob of sequence dd when two letters picked without replacement from dddddddddd.\n' | b'1\n' | b'Calculate prob of sequence dd when two letters picked without replacement from dddddddddd.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(p) be the first derivative of 3*p**2 + p**2 - p - 5*p**2 - p - 1. Determine g(3).\n' | b'-8\n' | b'Let g(p) be the first derivative of 3*p**2 + p**2 - p - 5*p**2 - p - 1. Determine g(3).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 u when two letters picked without replacement from {p: 4, w: 6, u: 1, v: 4}?\n' | b'4/105\n' | b'What is prob of picking 1 v and 1 u when two letters picked without replacement from {p: 4, w: 6, u: 1, v: 4}?\n' | b'4/105\n' | deepmind/math_dataset |
b'Let u(o) = 22*o + 217. Let a(f) = 45*f + 459. Let j(c) = -10*a(c) + 21*u(c). Calculate j(4).\n' | b'15\n' | b'Let u(o) = 22*o + 217. Let a(f) = 45*f + 459. Let j(c) = -10*a(c) + 21*u(c). Calculate j(4).\n' | b'15\n' | deepmind/math_dataset |
b'Simplify (((a/(a/(a*(a*(a/((a/(a*a**3))/a))/a)/a))*a)/a*a)**(23/4)*a**2*a**(2/7))**(-11) assuming a is positive.\n' | b'a**(-5665/14)\n' | b'Simplify (((a/(a/(a*(a*(a/((a/(a*a**3))/a))/a)/a))*a)/a*a)**(23/4)*a**2*a**(2/7))**(-11) assuming a is positive.\n' | b'a**(-5665/14)\n' | deepmind/math_dataset |
b'Suppose 3*w + 251 = 23. Let v = 14 - w. What is the first derivative of 66 + 39*c**4 - 115 + v wrt c?\n' | b'156*c**3\n' | b'Suppose 3*w + 251 = 23. Let v = 14 - w. What is the first derivative of 66 + 39*c**4 - 115 + v wrt c?\n' | b'156*c**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 2 t when four letters picked without replacement from {t: 3, v: 6, p: 6}.\n' | b'3/91\n' | b'Calculate prob of picking 2 v and 2 t when four letters picked without replacement from {t: 3, v: 6, p: 6}.\n' | b'3/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, g: 3, b: 1, l: 5, z: 1, f: 1}. Give prob of sequence blgl.\n' | b'1/198\n' | b'Four letters picked without replacement from {o: 1, g: 3, b: 1, l: 5, z: 1, f: 1}. Give prob of sequence blgl.\n' | b'1/198\n' | deepmind/math_dataset |
b'Let r(x) be the first derivative of 6*x**2 - 28*x - 46. What is the derivative of r(h) wrt h?\n' | b'12\n' | b'Let r(x) be the first derivative of 6*x**2 - 28*x - 46. What is the derivative of r(h) wrt h?\n' | b'12\n' | deepmind/math_dataset |
b'Let d = 12 + -18. Let y be 1 + 3/d*-6. Solve y*p - 3*j = -29, 0*p - 2*j = -p - 11 for p.\n' | b'-5\n' | b'Let d = 12 + -18. Let y be 1 + 3/d*-6. Solve y*p - 3*j = -29, 0*p - 2*j = -p - 11 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z be (-7)/(-5) - (-3)/5. Solve -4*o - 5*u = -o - 12, -8 = -z*o - 2*u for o.\n' | b'4\n' | b'Let z be (-7)/(-5) - (-3)/5. Solve -4*o - 5*u = -o - 12, -8 = -z*o - 2*u for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(m) = -4*m - 1. Let u = -91 - -90. Let p be (u/(-3))/(((-16)/8)/(-6)). Give n(p).\n' | b'-5\n' | b'Let n(m) = -4*m - 1. Let u = -91 - -90. Let p be (u/(-3))/(((-16)/8)/(-6)). Give n(p).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hchchhchhhchhhch. Give prob of picking 3 c and 1 h.\n' | b'11/182\n' | b'Four letters picked without replacement from hchchhchhhchhhch. Give prob of picking 3 c and 1 h.\n' | b'11/182\n' | deepmind/math_dataset |
b'Let g(b) = -1. Let j(h) = -3*h - 22. Let f(l) = 6*g(l) + j(l). Let y be f(-10). Let z(o) = -3*o**2 + o + 1. Calculate z(y).\n' | b'-9\n' | b'Let g(b) = -1. Let j(h) = -3*h - 22. Let f(l) = 6*g(l) + j(l). Let y be f(-10). Let z(o) = -3*o**2 + o + 1. Calculate z(y).\n' | b'-9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwywwyywwyyywywwyyy. What is prob of picking 2 y and 1 w?\n' | b'135/323\n' | b'Three letters picked without replacement from wwywwyywwyyywywwyyy. What is prob of picking 2 y and 1 w?\n' | b'135/323\n' | deepmind/math_dataset |
b'Simplify ((q**(3/2)/q)/q)**(-28)*q**(-7)/(q/(q*q**(-3/2)*q)) assuming q is positive.\n' | b'q**(13/2)\n' | b'Simplify ((q**(3/2)/q)/q)**(-28)*q**(-7)/(q/(q*q**(-3/2)*q)) assuming q is positive.\n' | b'q**(13/2)\n' | deepmind/math_dataset |
b'Simplify (((h/(h/h**(-3/8)))**(1/27))**25)**(-39) assuming h is positive.\n' | b'h**(325/24)\n' | b'Simplify (((h/(h/h**(-3/8)))**(1/27))**25)**(-39) assuming h is positive.\n' | b'h**(325/24)\n' | deepmind/math_dataset |
b'Let z = 10 - 4. Let v = 11 - z. Solve -4*x + 5*x + v*f + 2 = 0, 4*x = 4*f - 8 for x.\n' | b'-2\n' | b'Let z = 10 - 4. Let v = 11 - z. Solve -4*x + 5*x + v*f + 2 = 0, 4*x = 4*f - 8 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (s*s/(s*s*s**4*s)*s*s**(-10/7)/s*s)**18 assuming s is positive.\n' | b's**(-684/7)\n' | b'Simplify (s*s/(s*s*s**4*s)*s*s**(-10/7)/s*s)**18 assuming s is positive.\n' | b's**(-684/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, s: 1, c: 1, x: 1, a: 1, f: 2}. What is prob of sequence xfc?\n' | b'1/105\n' | b'Three letters picked without replacement from {k: 1, s: 1, c: 1, x: 1, a: 1, f: 2}. What is prob of sequence xfc?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let u(g) = g**2 + 3*g - 6. Let n = -23 + 19. Let p be u(n). Let t(d) = 1. Let q(r) = -6*r + 6. Let b(h) = q(h) - 8*t(h). Give b(p).\n' | b'10\n' | b'Let u(g) = g**2 + 3*g - 6. Let n = -23 + 19. Let p be u(n). Let t(d) = 1. Let q(r) = -6*r + 6. Let b(h) = q(h) - 8*t(h). Give b(p).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify q*q*q/q**22*q/q**(-1/3)*q*q*(q**19/q*q)**(-4/23) assuming q is positive.\n' | b'q**(-1309/69)\n' | b'Simplify q*q*q/q**22*q/q**(-1/3)*q*q*(q**19/q*q)**(-4/23) assuming q is positive.\n' | b'q**(-1309/69)\n' | deepmind/math_dataset |
b'Let q = 27 - 27. What is the first derivative of -3*g - 6*g**4 + 1 + 3*g + q*g wrt g?\n' | b'-24*g**3\n' | b'Let q = 27 - 27. What is the first derivative of -3*g - 6*g**4 + 1 + 3*g + q*g wrt g?\n' | b'-24*g**3\n' | deepmind/math_dataset |
b'Suppose -o + m = -9, -3*m = o - 6*m - 13. Let b(i) = i + 3. Let z(t) = -2*t - 6. Let v(n) = o*b(n) + 4*z(n). What is the first derivative of v(u) wrt u?\n' | b'-1\n' | b'Suppose -o + m = -9, -3*m = o - 6*m - 13. Let b(i) = i + 3. Let z(t) = -2*t - 6. Let v(n) = o*b(n) + 4*z(n). What is the first derivative of v(u) wrt u?\n' | b'-1\n' | deepmind/math_dataset |
b'Let s(f) = -f + 1. Suppose z = -16*z - 102. Let j(w) = -w**2 + 7*w - 10. Let n(q) = z*s(q) - j(q). Calculate n(5).\n' | b'24\n' | b'Let s(f) = -f + 1. Suppose z = -16*z - 102. Let j(w) = -w**2 + 7*w - 10. Let n(q) = z*s(q) - j(q). Calculate n(5).\n' | b'24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 5, e: 2}. What is prob of picking 1 e and 1 s?\n' | b'10/21\n' | b'Two letters picked without replacement from {s: 5, e: 2}. What is prob of picking 1 e and 1 s?\n' | b'10/21\n' | deepmind/math_dataset |
b'Suppose 151*q = 199*q - 144. Solve 2*u - 4*s = 0, -s - 2 = 2*u + q for u.\n' | b'-2\n' | b'Suppose 151*q = 199*q - 144. Solve 2*u - 4*s = 0, -s - 2 = 2*u + q for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 3, b: 4}. What is prob of sequence zbz?\n' | b'4/35\n' | b'Three letters picked without replacement from {z: 3, b: 4}. What is prob of sequence zbz?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let h(a) = -4*a - 4. Suppose -y + 9 = -4*y, 5*z + 3*y = -19. Let b be h(z). Let f(t) = -t**3 + 4*t**2 + 3*t - 5. What is f(b)?\n' | b'7\n' | b'Let h(a) = -4*a - 4. Suppose -y + 9 = -4*y, 5*z + 3*y = -19. Let b be h(z). Let f(t) = -t**3 + 4*t**2 + 3*t - 5. What is f(b)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s = -64 + 69. Suppose -4*f + 17 = -47. Suppose 7*i - f - 19 = 0. Solve -2*t = i*h - 29, 0 = 4*t - s*h + 16 + 1 for t.\n' | b'2\n' | b'Let s = -64 + 69. Suppose -4*f + 17 = -47. Suppose 7*i - f - 19 = 0. Solve -2*t = i*h - 29, 0 = 4*t - s*h + 16 + 1 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {d: 6, f: 13}.\n' | b'65/969\n' | b'Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {d: 6, f: 13}.\n' | b'65/969\n' | deepmind/math_dataset |
b'Let w be 1/(-5) - (-1001)/4620. Let b(n) be the third derivative of -1/6*n**4 + 0 + 0*n - 8*n**2 + 2/3*n**3 + w*n**5. Calculate b(5).\n' | b'9\n' | b'Let w be 1/(-5) - (-1001)/4620. Let b(n) be the third derivative of -1/6*n**4 + 0 + 0*n - 8*n**2 + 2/3*n**3 + w*n**5. Calculate b(5).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of sequence oi when two letters picked without replacement from scyymcsiycsmcmoom.\n' | b'1/136\n' | b'Calculate prob of sequence oi when two letters picked without replacement from scyymcsiycsmcmoom.\n' | b'1/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bwpuuddv. Give prob of sequence ud.\n' | b'1/14\n' | b'Two letters picked without replacement from bwpuuddv. Give prob of sequence ud.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (l**(-9)/((l*(l*l**(15/4))/l)/l))/((l*l**(-1/50))/(l**18/l)) assuming l is positive.\n' | b'l**(327/100)\n' | b'Simplify (l**(-9)/((l*(l*l**(15/4))/l)/l))/((l*l**(-1/50))/(l**18/l)) assuming l is positive.\n' | b'l**(327/100)\n' | deepmind/math_dataset |
b'Let h(i) = 6*i + 72. Let q be h(-12). Suppose q = 2*b + 3*o - 25, -o + 18 = b - 5*o. Solve -b + 39 = -5*l + s, -2*l = -5*s + 10 for l.\n' | b'-5\n' | b'Let h(i) = 6*i + 72. Let q be h(-12). Suppose q = 2*b + 3*o - 25, -o + 18 = b - 5*o. Solve -b + 39 = -5*l + s, -2*l = -5*s + 10 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0*c + 6 = 2*p - 2*c, 3*p = -4*c - 12. Suppose 5*m - 4*r + 1 = 0, p = -4*m - 4*r + 26 + 2. Let a(d) = -d**3 + 3*d**2 - d. Calculate a(m).\n' | b'-3\n' | b'Suppose 0*c + 6 = 2*p - 2*c, 3*p = -4*c - 12. Suppose 5*m - 4*r + 1 = 0, p = -4*m - 4*r + 26 + 2. Let a(d) = -d**3 + 3*d**2 - d. Calculate a(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Let t be 1/(-1)*(0 + -2). Let i(n) = 13 - 2*n - 8 - 7 - n**t. Calculate i(-3).\n' | b'-5\n' | b'Let t be 1/(-1)*(0 + -2). Let i(n) = 13 - 2*n - 8 - 7 - n**t. Calculate i(-3).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (g**(-4)*g/(g**(1/2)/g))**(4/19) assuming g is positive.\n' | b'g**(-10/19)\n' | b'Simplify (g**(-4)*g/(g**(1/2)/g))**(4/19) assuming g is positive.\n' | b'g**(-10/19)\n' | deepmind/math_dataset |
b'Let z(i) = -18*i + 3. Let c(m) = 13*m - 2. Let o(k) = -4*c(k) - 3*z(k). Suppose -2*w = -5*w - 6. Let l(r) = -r**3 - 2*r**2 - 2*r. Let y be l(w). Determine o(y).\n' | b'7\n' | b'Let z(i) = -18*i + 3. Let c(m) = 13*m - 2. Let o(k) = -4*c(k) - 3*z(k). Suppose -2*w = -5*w - 6. Let l(r) = -r**3 - 2*r**2 - 2*r. Let y be l(w). Determine o(y).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (n**(2/49))**(-20/3) assuming n is positive.\n' | b'n**(-40/147)\n' | b'Simplify (n**(2/49))**(-20/3) assuming n is positive.\n' | b'n**(-40/147)\n' | deepmind/math_dataset |
b'Suppose 8*d = -11*d + 133. Let p(v) = -1 - 9 - 3*v + 0 + d. What is p(3)?\n' | b'-12\n' | b'Suppose 8*d = -11*d + 133. Let p(v) = -1 - 9 - 3*v + 0 + d. What is p(3)?\n' | b'-12\n' | deepmind/math_dataset |
b'Let v be 1235/325 - 12/(-30)*3. Solve a - 3 = -18*h + 22*h, -6*a - 1 = -v*h for a.\n' | b'-1\n' | b'Let v be 1235/325 - 12/(-30)*3. Solve a - 3 = -18*h + 22*h, -6*a - 1 = -v*h for a.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence oxox when four letters picked without replacement from oxox?\n' | b'1/6\n' | b'What is prob of sequence oxox when four letters picked without replacement from oxox?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from siisississs.\n' | b'4/165\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from siisississs.\n' | b'4/165\n' | deepmind/math_dataset |
b'Let i(w) = -w**2 + 5*w. Let f be i(4). Find the third derivative of 16 + 6*k**6 + f*k**2 - 16 wrt k.\n' | b'720*k**3\n' | b'Let i(w) = -w**2 + 5*w. Let f be i(4). Find the third derivative of 16 + 6*k**6 + f*k**2 - 16 wrt k.\n' | b'720*k**3\n' | deepmind/math_dataset |
b'Simplify ((u**5*u*u/(u/(u/(u*u**(-11)))*u))/((u/((u**(4/3)*u)/u))/u)**(-2/31))**(27/4) assuming u is positive.\n' | b'u**(3330/31)\n' | b'Simplify ((u**5*u*u/(u/(u/(u*u**(-11)))*u))/((u/((u**(4/3)*u)/u))/u)**(-2/31))**(27/4) assuming u is positive.\n' | b'u**(3330/31)\n' | deepmind/math_dataset |
b'Let q(a) be the first derivative of -a**3/3 - a**2 + 8*a - 1621. Give q(-6).\n' | b'-16\n' | b'Let q(a) be the first derivative of -a**3/3 - a**2 + 8*a - 1621. Give q(-6).\n' | b'-16\n' | deepmind/math_dataset |
b'Find the second derivative of 1047*l - 25*l**2 - 5*l**2 - 1015*l wrt l.\n' | b'-60\n' | b'Find the second derivative of 1047*l - 25*l**2 - 5*l**2 - 1015*l wrt l.\n' | b'-60\n' | deepmind/math_dataset |
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