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 l(g) = -19*g**4 - 5*g**2 + 5*g + 33. Let m(d) = 28*d**4 + 7*d**2 - 7*d - 50. Let y(f) = 7*l(f) + 5*m(f). What is the first derivative of y(w) wrt w?\n' | b'28*w**3\n' | b'Let l(g) = -19*g**4 - 5*g**2 + 5*g + 33. Let m(d) = 28*d**4 + 7*d**2 - 7*d - 50. Let y(f) = 7*l(f) + 5*m(f). What is the first derivative of y(w) wrt w?\n' | b'28*w**3\n' | deepmind/math_dataset |
b'Let g(r) = -5*r - 11. Let b(n) = 3*n + 6. Let p(j) = 7*b(j) + 4*g(j). Suppose -23 - 2 = 5*f. Determine p(f).\n' | b'-7\n' | b'Let g(r) = -5*r - 11. Let b(n) = 3*n + 6. Let p(j) = 7*b(j) + 4*g(j). Suppose -23 - 2 = 5*f. Determine p(f).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence bfbs when four letters picked without replacement from ffbsfbsbbbbsb.\n' | b'63/2860\n' | b'Calculate prob of sequence bfbs when four letters picked without replacement from ffbsfbsbbbbsb.\n' | b'63/2860\n' | deepmind/math_dataset |
b'What is prob of sequence sxxs when four letters picked without replacement from {x: 2, s: 4}?\n' | b'1/15\n' | b'What is prob of sequence sxxs when four letters picked without replacement from {x: 2, s: 4}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 2, y: 8, o: 4}. Give prob of picking 4 o.\n' | b'1/1001\n' | b'Four letters picked without replacement from {v: 2, y: 8, o: 4}. Give prob of picking 4 o.\n' | b'1/1001\n' | deepmind/math_dataset |
b'What is prob of sequence fec when three letters picked without replacement from {e: 1, l: 5, v: 1, f: 2, h: 3, c: 1}?\n' | b'1/858\n' | b'What is prob of sequence fec when three letters picked without replacement from {e: 1, l: 5, v: 1, f: 2, h: 3, c: 1}?\n' | b'1/858\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 1, d: 11, t: 5, y: 2, i: 1}. Give prob of sequence yd.\n' | b'11/190\n' | b'Two letters picked without replacement from {z: 1, d: 11, t: 5, y: 2, i: 1}. Give prob of sequence yd.\n' | b'11/190\n' | deepmind/math_dataset |
b'Let g(w) = w**2 - 20*w - 140. Let j be (44/(-8) - (11 - 17))/((-1)/10). Calculate g(j).\n' | b'-15\n' | b'Let g(w) = w**2 - 20*w - 140. Let j be (44/(-8) - (11 - 17))/((-1)/10). Calculate g(j).\n' | b'-15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mqymmqmqmqmqmyrmqam. Give prob of picking 3 m and 1 y.\n' | b'14/323\n' | b'Four letters picked without replacement from mqymmqmqmqmqmyrmqam. Give prob of picking 3 m and 1 y.\n' | b'14/323\n' | deepmind/math_dataset |
b'Calculate prob of sequence uuc when three letters picked without replacement from {c: 2, m: 11, u: 2}.\n' | b'2/1365\n' | b'Calculate prob of sequence uuc when three letters picked without replacement from {c: 2, m: 11, u: 2}.\n' | b'2/1365\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeexiuiiuexeeeu. What is prob of picking 1 e and 1 u?\n' | b'1/5\n' | b'Two letters picked without replacement from eeexiuiiuexeeeu. What is prob of picking 1 e and 1 u?\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, t: 2}. What is prob of picking 2 y?\n' | b'0\n' | b'Two letters picked without replacement from {y: 1, t: 2}. What is prob of picking 2 y?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((f*f*f/f**(-6))/f**(-5))/((f*f**(-1/5))/f*f**(-3)/f) assuming f is positive.\n' | b'f**(91/5)\n' | b'Simplify ((f*f*f/f**(-6))/f**(-5))/((f*f**(-1/5))/f*f**(-3)/f) assuming f is positive.\n' | b'f**(91/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {r: 8, m: 3, o: 5}.\n' | b'1/8\n' | b'Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {r: 8, m: 3, o: 5}.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {n: 7, p: 2}?\n' | b'7/12\n' | b'What is prob of sequence nn when two letters picked without replacement from {n: 7, p: 2}?\n' | b'7/12\n' | deepmind/math_dataset |
b'Let i(h) = 2*h**2 + 69*h + 14. Let j(m) = -2*m**2 - 35*m - 13. Let n(t) = 2*i(t) + 3*j(t). Calculate n(8).\n' | b'125\n' | b'Let i(h) = 2*h**2 + 69*h + 14. Let j(m) = -2*m**2 - 35*m - 13. Let n(t) = 2*i(t) + 3*j(t). Calculate n(8).\n' | b'125\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, d: 3, w: 13}. Give prob of sequence vd.\n' | b'3/272\n' | b'Two letters picked without replacement from {v: 1, d: 3, w: 13}. Give prob of sequence vd.\n' | b'3/272\n' | deepmind/math_dataset |
b'Simplify ((v**(-8)*v/v**14)/((v*v/(v*v**(2/5)))/v*v/(v*v**(-12)*v)))**(-12) assuming v is positive.\n' | b'v**(1896/5)\n' | b'Simplify ((v**(-8)*v/v**14)/((v*v/(v*v**(2/5)))/v*v/(v*v**(-12)*v)))**(-12) assuming v is positive.\n' | b'v**(1896/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 m when three letters picked without replacement from {m: 9, t: 9, b: 1}.\n' | b'12/323\n' | b'Calculate prob of picking 1 b and 2 m when three letters picked without replacement from {m: 9, t: 9, b: 1}.\n' | b'12/323\n' | deepmind/math_dataset |
b'What is prob of picking 3 v and 1 y when four letters picked without replacement from vyyvyllylyylllyvly?\n' | b'2/765\n' | b'What is prob of picking 3 v and 1 y when four letters picked without replacement from vyyvyllylyylllyvly?\n' | b'2/765\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fxmct. Give prob of picking 1 c, 1 f, and 1 x.\n' | b'1/10\n' | b'Three letters picked without replacement from fxmct. Give prob of picking 1 c, 1 f, and 1 x.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let v(l) = 2*l**3 - 52*l**2 + 47*l + 78. Let i be v(25). Let s(t) = -t**3 + 4*t**2 - 5*t + 2. Determine s(i).\n' | b'-4\n' | b'Let v(l) = 2*l**3 - 52*l**2 + 47*l + 78. Let i be v(25). Let s(t) = -t**3 + 4*t**2 - 5*t + 2. Determine s(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {b: 4, g: 6, p: 3, u: 1}.\n' | b'3/91\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {b: 4, g: 6, p: 3, u: 1}.\n' | b'3/91\n' | deepmind/math_dataset |
b'Suppose -11*i + 1 + 186 = 0. Let b be (9 - 1)*2/1. Let c = i - b. Solve -18 = -5*h - k, -4 = -4*h + 3*k - c for h.\n' | b'3\n' | b'Suppose -11*i + 1 + 186 = 0. Let b be (9 - 1)*2/1. Let c = i - b. Solve -18 = -5*h - k, -4 = -4*h + 3*k - c for h.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence tqj when three letters picked without replacement from aqqqgtj?\n' | b'1/70\n' | b'What is prob of sequence tqj when three letters picked without replacement from aqqqgtj?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let j(m) = 3*m**3 - m**2 - 18*m - 32. Let f be j(-5). Let r = f + 346. Solve -o - r*t = 21, o + 14 = 2*o - 3*t for o.\n' | b'-1\n' | b'Let j(m) = 3*m**3 - m**2 - 18*m - 32. Let f be j(-5). Let r = f + 346. Solve -o - r*t = 21, o + 14 = 2*o - 3*t for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from {i: 4, n: 5, w: 1}.\n' | b'2/9\n' | b'Calculate prob of sequence nn when two letters picked without replacement from {i: 4, n: 5, w: 1}.\n' | b'2/9\n' | deepmind/math_dataset |
b'Suppose 0 = 3*h - 0*h + 5*y + 14, -2*y = 5*h + 17. Let u = 5 + h. Let b(v) = 2*v**2 + u*v - v + 3*v**3 + 0*v. Give b(-1).\n' | b'-2\n' | b'Suppose 0 = 3*h - 0*h + 5*y + 14, -2*y = 5*h + 17. Let u = 5 + h. Let b(v) = 2*v**2 + u*v - v + 3*v**3 + 0*v. Give b(-1).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(o) = o + 3. Let u be i(0). Suppose -2*g = -2*j - 5*g + 17, -u*j - 2*g + 33 = 0. Solve -4*n - 2*v + 26 = 0, 2*n + 4*v - 35 + j = 0 for n.\n' | b'5\n' | b'Let i(o) = o + 3. Let u be i(0). Suppose -2*g = -2*j - 5*g + 17, -u*j - 2*g + 33 = 0. Solve -4*n - 2*v + 26 = 0, 2*n + 4*v - 35 + j = 0 for n.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 u when two letters picked without replacement from ooooooooooouo?\n' | b'2/13\n' | b'What is prob of picking 1 o and 1 u when two letters picked without replacement from ooooooooooouo?\n' | b'2/13\n' | deepmind/math_dataset |
b'Let p(u) be the first derivative of -u**6 + u**5/5 + 7*u**2/2 + 3*u + 49. What is the second derivative of p(x) wrt x?\n' | b'-120*x**3 + 12*x**2\n' | b'Let p(u) be the first derivative of -u**6 + u**5/5 + 7*u**2/2 + 3*u + 49. What is the second derivative of p(x) wrt x?\n' | b'-120*x**3 + 12*x**2\n' | deepmind/math_dataset |
b'Simplify x**(-2/5)/(x/x**(-4)) assuming x is positive.\n' | b'x**(-27/5)\n' | b'Simplify x**(-2/5)/(x/x**(-4)) assuming x is positive.\n' | b'x**(-27/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 p when two letters picked without replacement from zpz.\n' | b'2/3\n' | b'Calculate prob of picking 1 z and 1 p when two letters picked without replacement from zpz.\n' | b'2/3\n' | deepmind/math_dataset |
b'Let o(r) = -2*r - 3. Let j = -86 + 93. Let m be (-3)/j - 0 - 400/112. Let u be o(m). Solve 0 = -u*i - g - 26, 5*g = -2 - 3 for i.\n' | b'-5\n' | b'Let o(r) = -2*r - 3. Let j = -86 + 93. Let m be (-3)/j - 0 - 400/112. Let u be o(m). Solve 0 = -u*i - g - 26, 5*g = -2 - 3 for i.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 2 i when two letters picked without replacement from {z: 16, i: 2}?\n' | b'1/153\n' | b'What is prob of picking 2 i when two letters picked without replacement from {z: 16, i: 2}?\n' | b'1/153\n' | deepmind/math_dataset |
b'Simplify ((c*c*c/(c*c**9*c)*c*c*c/((c*c**1)/c))**(11/6))**(-5/16) assuming c is positive.\n' | b'c**(55/16)\n' | b'Simplify ((c*c*c/(c*c**9*c)*c*c*c/((c*c**1)/c))**(11/6))**(-5/16) assuming c is positive.\n' | b'c**(55/16)\n' | deepmind/math_dataset |
b'Let s = 8 - -37. Let l be (-9)/s - (-11)/5. Let a = 0 - l. Let c(b) = 2*b + 2. Determine c(a).\n' | b'-2\n' | b'Let s = 8 - -37. Let l be (-9)/s - (-11)/5. Let a = 0 - l. Let c(b) = 2*b + 2. Determine c(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i = -498 - -536. Suppose 19*a + 95 = i*a. Let s = 10 - 7. Solve -u + a*v + 23 = 0, -5*u - s*v - 2 = 23 for u.\n' | b'-2\n' | b'Let i = -498 - -536. Suppose 19*a + 95 = i*a. Let s = 10 - 7. Solve -u + a*v + 23 = 0, -5*u - s*v - 2 = 23 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j be 49/7*((-30)/14)/(-5). Let d(t) = -2*t**2 + 5*t - 2. Calculate d(j).\n' | b'-5\n' | b'Let j be 49/7*((-30)/14)/(-5). Let d(t) = -2*t**2 + 5*t - 2. Calculate d(j).\n' | b'-5\n' | deepmind/math_dataset |
b'What is the third derivative of -23*y**2 - 25*y + 2 - 2 + 30*y - 367*y**4 - 132*y**4 wrt y?\n' | b'-11976*y\n' | b'What is the third derivative of -23*y**2 - 25*y + 2 - 2 + 30*y - 367*y**4 - 132*y**4 wrt y?\n' | b'-11976*y\n' | deepmind/math_dataset |
b'Let p be (14/(-6) - 0)*-3. Let j(d) = -43*d + 188. Let x be j(20). Let w = x - -674. Solve 2*m - y = -p, 2*y = -w*m + 4*y - 6 for m.\n' | b'-4\n' | b'Let p be (14/(-6) - 0)*-3. Let j(d) = -43*d + 188. Let x be j(20). Let w = x - -674. Solve 2*m - y = -p, 2*y = -w*m + 4*y - 6 for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((g*g*g*g**29/g*g**6)**42)**1 assuming g is positive.\n' | b'g**1554\n' | b'Simplify ((g*g*g*g**29/g*g**6)**42)**1 assuming g is positive.\n' | b'g**1554\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qyccqcq. Give prob of picking 2 y.\n' | b'0\n' | b'Two letters picked without replacement from qyccqcq. Give prob of picking 2 y.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(m) = m + 10. Let c(i) = -i - 9. Let o be (-1 - -5)/((-3)/(-2 - 1)). Let p(g) = o*s(g) + 5*c(g). Suppose 27 = -5*n + 7. Calculate p(n).\n' | b'-1\n' | b'Let s(m) = m + 10. Let c(i) = -i - 9. Let o be (-1 - -5)/((-3)/(-2 - 1)). Let p(g) = o*s(g) + 5*c(g). Suppose 27 = -5*n + 7. Calculate p(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Let q(i) = 41*i + 38*i + 43*i + 38*i - 154*i + 14. What is q(-4)?\n' | b'-10\n' | b'Let q(i) = 41*i + 38*i + 43*i + 38*i - 154*i + 14. What is q(-4)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let c be 273/56 - (-1)/8. Let r(o) = o**3 - 4*o**2 - 3*o - 7. Determine r(c).\n' | b'3\n' | b'Let c be 273/56 - (-1)/8. Let r(o) = o**3 - 4*o**2 - 3*o - 7. Determine r(c).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((g**(-6)/g**10)**(2/51))**(3/5) assuming g is positive.\n' | b'g**(-32/85)\n' | b'Simplify ((g**(-6)/g**10)**(2/51))**(3/5) assuming g is positive.\n' | b'g**(-32/85)\n' | deepmind/math_dataset |
b'What is prob of sequence wu when two letters picked without replacement from wuf?\n' | b'1/6\n' | b'What is prob of sequence wu when two letters picked without replacement from wuf?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 e, and 1 n when three letters picked without replacement from {w: 1, n: 1, d: 2, e: 3, p: 1, y: 4}.\n' | b'3/110\n' | b'Calculate prob of picking 1 d, 1 e, and 1 n when three letters picked without replacement from {w: 1, n: 1, d: 2, e: 3, p: 1, y: 4}.\n' | b'3/110\n' | deepmind/math_dataset |
b'Let s(x) be the first derivative of -x**4/4 + 2*x**3 + x**2 - 4*x - 64. Determine s(6).\n' | b'8\n' | b'Let s(x) be the first derivative of -x**4/4 + 2*x**3 + x**2 - 4*x - 64. Determine s(6).\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 6, v: 2, t: 5}. Give prob of picking 2 t.\n' | b'5/39\n' | b'Two letters picked without replacement from {y: 6, v: 2, t: 5}. Give prob of picking 2 t.\n' | b'5/39\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dvvvvqdrqvqqqqqvvqq. Give prob of sequence dq.\n' | b'1/19\n' | b'Two letters picked without replacement from dvvvvqdrqvqqqqqvvqq. Give prob of sequence dq.\n' | b'1/19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, i: 10, a: 6}. What is prob of sequence aja?\n' | b'1/136\n' | b'Three letters picked without replacement from {j: 1, i: 10, a: 6}. What is prob of sequence aja?\n' | b'1/136\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 3 d when four letters picked without replacement from ddrd?\n' | b'1\n' | b'What is prob of picking 1 r and 3 d when four letters picked without replacement from ddrd?\n' | b'1\n' | deepmind/math_dataset |
b'Let y = 30 - 28. Let w be 8/(9 - 5) + 0/y. Solve -4*x = -4*l + x - 5, -l + 1 = -w*x for l.\n' | b'-5\n' | b'Let y = 30 - 28. Let w be 8/(9 - 5) + 0/y. Solve -4*x = -4*l + x - 5, -l + 1 = -w*x for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvvvvvvv. What is prob of picking 4 v?\n' | b'1\n' | b'Four letters picked without replacement from vvvvvvvvv. What is prob of picking 4 v?\n' | b'1\n' | deepmind/math_dataset |
b'Let a(w) = -79*w + 240. Let g(d) = -82*d + 241. Let q(x) = -3*a(x) + 4*g(x). Find the first derivative of q(i) wrt i.\n' | b'-91\n' | b'Let a(w) = -79*w + 240. Let g(d) = -82*d + 241. Let q(x) = -3*a(x) + 4*g(x). Find the first derivative of q(i) wrt i.\n' | b'-91\n' | deepmind/math_dataset |
b'Let h(t) be the first derivative of -5*t**4/3 + 71*t**3/3 - 84*t - 35. Let f(g) be the first derivative of h(g). What is the second derivative of f(o) wrt o?\n' | b'-40\n' | b'Let h(t) be the first derivative of -5*t**4/3 + 71*t**3/3 - 84*t - 35. Let f(g) be the first derivative of h(g). What is the second derivative of f(o) wrt o?\n' | b'-40\n' | deepmind/math_dataset |
b'Differentiate -3 - 239*j**2 - 30 - 759*j**2 - 8 with respect to j.\n' | b'-1996*j\n' | b'Differentiate -3 - 239*j**2 - 30 - 759*j**2 - 8 with respect to j.\n' | b'-1996*j\n' | deepmind/math_dataset |
b'Let c(a) be the first derivative of 11/2*a**2 - 12 + a. Give c(1).\n' | b'12\n' | b'Let c(a) be the first derivative of 11/2*a**2 - 12 + a. Give c(1).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify q**(6/7)*q/(q/(q*q**(5/8)*q*q*q*q)*q)*q*((q/(q*q/q**11)*q)/q*q)/(q**(2/3)*q) assuming q is positive.\n' | b'q**(2657/168)\n' | b'Simplify q**(6/7)*q/(q/(q*q**(5/8)*q*q*q*q)*q)*q*((q/(q*q/q**11)*q)/q*q)/(q**(2/3)*q) assuming q is positive.\n' | b'q**(2657/168)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 q, and 1 i when three letters picked without replacement from {i: 6, f: 1, r: 1, l: 1, x: 5, q: 3}.\n' | b'9/340\n' | b'Calculate prob of picking 1 f, 1 q, and 1 i when three letters picked without replacement from {i: 6, f: 1, r: 1, l: 1, x: 5, q: 3}.\n' | b'9/340\n' | deepmind/math_dataset |
b'Suppose -20 = 16*f - 26*f. Suppose -19 = a + 5*c, f*c - 3*c = 4*a. Let l(m) = -14*m**3 + 5*m**2 + m - 6*m**2 + 0*m. Calculate l(a).\n' | b'-14\n' | b'Suppose -20 = 16*f - 26*f. Suppose -19 = a + 5*c, f*c - 3*c = 4*a. Let l(m) = -14*m**3 + 5*m**2 + m - 6*m**2 + 0*m. Calculate l(a).\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose 307*f - 312*f = -35. Solve c = -5*m + 2, 0 = -2*m - 4*c + f + 1 for m.\n' | b'0\n' | b'Suppose 307*f - 312*f = -35. Solve c = -5*m + 2, 0 = -2*m - 4*c + f + 1 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (l*(l*l**0/l)/l)**(3/11)*(l*l**(-2/3)*l*l)**(4/29) assuming l is positive.\n' | b'l**(28/87)\n' | b'Simplify (l*(l*l**0/l)/l)**(3/11)*(l*l**(-2/3)*l*l)**(4/29) assuming l is positive.\n' | b'l**(28/87)\n' | deepmind/math_dataset |
b'Find the third derivative of -p**5 + 5878*p**2 + 419 - 5879*p**2 - 4 + p**5 - 2095*p**6 wrt p.\n' | b'-251400*p**3\n' | b'Find the third derivative of -p**5 + 5878*p**2 + 419 - 5879*p**2 - 4 + p**5 - 2095*p**6 wrt p.\n' | b'-251400*p**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 3 b when four letters picked without replacement from baybybbeb?\n' | b'10/63\n' | b'What is prob of picking 1 y and 3 b when four letters picked without replacement from baybybbeb?\n' | b'10/63\n' | deepmind/math_dataset |
b'Let f(w) = 2*w**2 - w - 2. Let j(a) = 9*a - 16. Let q be j(2). Determine f(q).\n' | b'4\n' | b'Let f(w) = 2*w**2 - w - 2. Let j(a) = 9*a - 16. Let q be j(2). Determine f(q).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 12 = 4*l - 0. What is the second derivative of -8*n**2 + l*n**4 + n - 2*n + 8*n**2 wrt n?\n' | b'36*n**2\n' | b'Suppose 12 = 4*l - 0. What is the second derivative of -8*n**2 + l*n**4 + n - 2*n + 8*n**2 wrt n?\n' | b'36*n**2\n' | deepmind/math_dataset |
b'Let f(t) = -t**3 + 4*t**2 - 2*t - 4. Let p(q) = -18*q - 51. Let b be -3*6/(-4)*(-2)/3. Let k be p(b). Calculate f(k).\n' | b'-1\n' | b'Let f(t) = -t**3 + 4*t**2 - 2*t - 4. Let p(q) = -18*q - 51. Let b be -3*6/(-4)*(-2)/3. Let k be p(b). Calculate f(k).\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(y) be the third derivative of -y**8/84 - 3*y**7/70 + y**6/24 - 893*y**5/30 - 1019*y**2. Find the third derivative of w(u) wrt u.\n' | b'-240*u**2 - 216*u + 30\n' | b'Let w(y) be the third derivative of -y**8/84 - 3*y**7/70 + y**6/24 - 893*y**5/30 - 1019*y**2. Find the third derivative of w(u) wrt u.\n' | b'-240*u**2 - 216*u + 30\n' | deepmind/math_dataset |
b'Let j(o) = -o**2 - 5*o - 6. Let y(u) = 9*u**3 - 3*u**2 + 1. Let i be y(-1). Let n(a) = a**2 + 2*a - 20. Let s be n(i). Let v = s + -85. Determine j(v).\n' | b'-12\n' | b'Let j(o) = -o**2 - 5*o - 6. Let y(u) = 9*u**3 - 3*u**2 + 1. Let i be y(-1). Let n(a) = a**2 + 2*a - 20. Let s be n(i). Let v = s + -85. Determine j(v).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify ((p**(-2/5))**50*(p/(p*p**2))**(3/32))/(p**(3/2)/(p/(p**13*p)))**9 assuming p is positive.\n' | b'p**(-2411/16)\n' | b'Simplify ((p**(-2/5))**50*(p/(p*p**2))**(3/32))/(p**(3/2)/(p/(p**13*p)))**9 assuming p is positive.\n' | b'p**(-2411/16)\n' | deepmind/math_dataset |
b'Let r be ((-8)/8)/(4/(-8)). Let g(o) be the second derivative of -1/6*o**3 - 1/2*o**2 + 0 + r*o. Determine g(3).\n' | b'-4\n' | b'Let r be ((-8)/8)/(4/(-8)). Let g(o) be the second derivative of -1/6*o**3 - 1/2*o**2 + 0 + r*o. Determine g(3).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence cs when two letters picked without replacement from swsxcxswcmwxexe?\n' | b'1/35\n' | b'What is prob of sequence cs when two letters picked without replacement from swsxcxswcmwxexe?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 l and 2 y when four letters picked without replacement from {q: 3, t: 1, a: 1, y: 5, l: 3}?\n' | b'6/143\n' | b'What is prob of picking 2 l and 2 y when four letters picked without replacement from {q: 3, t: 1, a: 1, y: 5, l: 3}?\n' | b'6/143\n' | deepmind/math_dataset |
b'Let w be (3/6)/((-2)/(-16)). Let y be 340/408 + 21/18. Solve -y*t + 5*j = 31, -j - w = 4*t - t for t.\n' | b'-3\n' | b'Let w be (3/6)/((-2)/(-16)). Let y be 340/408 + 21/18. Solve -y*t + 5*j = 31, -j - w = 4*t - t for t.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ga when two letters picked without replacement from {y: 1, s: 4, g: 2, r: 3, a: 1}?\n' | b'1/55\n' | b'What is prob of sequence ga when two letters picked without replacement from {y: 1, s: 4, g: 2, r: 3, a: 1}?\n' | b'1/55\n' | deepmind/math_dataset |
b'Suppose 4*v - a = 3*a, -2*v + a - 3 = 0. Let z = v - -3. Let l(m) = -m**2 - m - 4. Calculate l(z).\n' | b'-4\n' | b'Suppose 4*v - a = 3*a, -2*v + a - 3 = 0. Let z = v - -3. Let l(m) = -m**2 - m - 4. Calculate l(z).\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(l) = l**2 - 2*l - 5. Let r be v(5). What is the second derivative of 2*a + r*a**4 + 4*a - 15*a wrt a?\n' | b'120*a**2\n' | b'Let v(l) = l**2 - 2*l - 5. Let r be v(5). What is the second derivative of 2*a + r*a**4 + 4*a - 15*a wrt a?\n' | b'120*a**2\n' | deepmind/math_dataset |
b'Let f = -38 + 57. Solve -3*h = -15, n + 5*h - 1 = f for n.\n' | b'-5\n' | b'Let f = -38 + 57. Solve -3*h = -15, n + 5*h - 1 = f for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (s*s*s**15*s/s**16)**17 assuming s is positive.\n' | b's**34\n' | b'Simplify (s*s*s**15*s/s**16)**17 assuming s is positive.\n' | b's**34\n' | deepmind/math_dataset |
b'Let a be 2 + 4/(12/9). Let b = a + -2. Suppose h - 3*w = w - 2, -2*h + b*w = -21. Solve y - 3 = r, r - 3*y - y = -h for r.\n' | b'2\n' | b'Let a be 2 + 4/(12/9). Let b = a + -2. Suppose h - 3*w = w - 2, -2*h + b*w = -21. Solve y - 3 = r, r - 3*y - y = -h for r.\n' | b'2\n' | deepmind/math_dataset |
b'Find the second derivative of 2*r**4 - r - 2*r**4 + 5*r**5 - 6*r**5 wrt r.\n' | b'-20*r**3\n' | b'Find the second derivative of 2*r**4 - r - 2*r**4 + 5*r**5 - 6*r**5 wrt r.\n' | b'-20*r**3\n' | deepmind/math_dataset |
b'What is prob of sequence hv when two letters picked without replacement from dhdvwwddu?\n' | b'1/72\n' | b'What is prob of sequence hv when two letters picked without replacement from dhdvwwddu?\n' | b'1/72\n' | deepmind/math_dataset |
b'Let v(p) be the third derivative of 0*p**4 + 0*p**6 - 1/30*p**5 + 0*p**3 - 4*p**2 + 0 + 0*p - 2/105*p**7. Find the third derivative of v(j) wrt j.\n' | b'-96*j\n' | b'Let v(p) be the third derivative of 0*p**4 + 0*p**6 - 1/30*p**5 + 0*p**3 - 4*p**2 + 0 + 0*p - 2/105*p**7. Find the third derivative of v(j) wrt j.\n' | b'-96*j\n' | deepmind/math_dataset |
b'Suppose -6*l + l - 105 = 0. Let z be l/9 - 2/(-6). Let u be z/(-7) + (-38)/(-14). Solve 3*f = -u*i - 2 - 7, 3*f + i + 5 = 0 for f.\n' | b'-1\n' | b'Suppose -6*l + l - 105 = 0. Let z be l/9 - 2/(-6). Let u be z/(-7) + (-38)/(-14). Solve 3*f = -u*i - 2 - 7, 3*f + i + 5 = 0 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence tb when two letters picked without replacement from {y: 2, t: 4, b: 1, m: 3}?\n' | b'2/45\n' | b'What is prob of sequence tb when two letters picked without replacement from {y: 2, t: 4, b: 1, m: 3}?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let w(k) be the second derivative of k**4/3 - k**3/3 - k**2 + 3*k. Let g = -6 + 8. What is w(g)?\n' | b'10\n' | b'Let w(k) be the second derivative of k**4/3 - k**3/3 - k**2 + 3*k. Let g = -6 + 8. What is w(g)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (j**(-2))**37*((j*j/(j/((j/j**(-1/3))/j*j)*j*j))/j)**41 assuming j is positive.\n' | b'j**(-304/3)\n' | b'Simplify (j**(-2))**37*((j*j/(j/((j/j**(-1/3))/j*j)*j*j))/j)**41 assuming j is positive.\n' | b'j**(-304/3)\n' | deepmind/math_dataset |
b'Let r(j) = -j - 7. Let a be (-3 + 0)/(-3)*3. Suppose 6 = a*h - 6. Suppose 14 + 2 = -h*g. Determine r(g).\n' | b'-3\n' | b'Let r(j) = -j - 7. Let a be (-3 + 0)/(-3)*3. Suppose 6 = a*h - 6. Suppose 14 + 2 = -h*g. Determine r(g).\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(p) = 5*p**2 + 2. Let q(t) = -14*t**2 - 6. Let v(f) = 10*l(f) + 3*q(f). Differentiate v(x) with respect to x.\n' | b'16*x\n' | b'Let l(p) = 5*p**2 + 2. Let q(t) = -14*t**2 - 6. Let v(f) = 10*l(f) + 3*q(f). Differentiate v(x) with respect to x.\n' | b'16*x\n' | deepmind/math_dataset |
b'Suppose 4*k + 8 = -4*j, k - 4*j = -0*j + 13. Let d(t) = 5*t - 1. Determine d(k).\n' | b'4\n' | b'Suppose 4*k + 8 = -4*j, k - 4*j = -0*j + 13. Let d(t) = 5*t - 1. Determine d(k).\n' | b'4\n' | deepmind/math_dataset |
b'Let d(o) be the third derivative of -2*o**2 + 0 - 3/40*o**6 + 0*o - 1/4*o**4 + 0*o**5 + 0*o**3. What is the second derivative of d(n) wrt n?\n' | b'-54*n\n' | b'Let d(o) be the third derivative of -2*o**2 + 0 - 3/40*o**6 + 0*o - 1/4*o**4 + 0*o**5 + 0*o**3. What is the second derivative of d(n) wrt n?\n' | b'-54*n\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vhahhhaaavhhvhahhga. Give prob of picking 2 v.\n' | b'1/57\n' | b'Two letters picked without replacement from vhahhhaaavhhvhahhga. Give prob of picking 2 v.\n' | b'1/57\n' | deepmind/math_dataset |
b'What is prob of sequence lcl when three letters picked without replacement from {b: 1, x: 1, f: 2, l: 3, c: 6, u: 2}?\n' | b'6/455\n' | b'What is prob of sequence lcl when three letters picked without replacement from {b: 1, x: 1, f: 2, l: 3, c: 6, u: 2}?\n' | b'6/455\n' | deepmind/math_dataset |
b'Let i(y) = 47*y**2 - 19*y - 35. Let d(c) = 3*c**2 - c. Let m(u) = -15*d(u) + i(u). What is m(8)?\n' | b'61\n' | b'Let i(y) = 47*y**2 - 19*y - 35. Let d(c) = 3*c**2 - c. Let m(u) = -15*d(u) + i(u). What is m(8)?\n' | b'61\n' | deepmind/math_dataset |
b'Suppose -2*d + d = b - 2, -2*b + 4*d + 16 = 0. Suppose 2*m = -0*m + 12. Solve -4*u + b*f - 20 = 0, 3*u = m*u - 5*f + 25 for u.\n' | b'0\n' | b'Suppose -2*d + d = b - 2, -2*b + 4*d + 16 = 0. Suppose 2*m = -0*m + 12. Solve -4*u + b*f - 20 = 0, 3*u = m*u - 5*f + 25 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/3)*v)/(v/(v/(v**(-1/6)/v))))/(v*v**(-3/2)*v**(1/5))*((v**9/v*v)/(v/(v*v*v**(2/9)*v*v)))**(-2/125) assuming v is positive.\n' | b'v**(361/225)\n' | b'Simplify ((v**(-2/3)*v)/(v/(v/(v**(-1/6)/v))))/(v*v**(-3/2)*v**(1/5))*((v**9/v*v)/(v/(v*v*v**(2/9)*v*v)))**(-2/125) assuming v is positive.\n' | b'v**(361/225)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, s: 2}. Give prob of picking 2 s.\n' | b'1/3\n' | b'Two letters picked without replacement from {a: 1, s: 2}. Give prob of picking 2 s.\n' | b'1/3\n' | deepmind/math_dataset |
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