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 x(q) = q**2 - 14*q + 40. Let u be x(12). Let o be (5 - 6 - 124/(-2))/1. Let m = 66 - o. Solve 3*c = -t - 4*t - 26, -2*c + u = -m*t for c.\n' | b'-2\n' | b'Let x(q) = q**2 - 14*q + 40. Let u be x(12). Let o be (5 - 6 - 124/(-2))/1. Let m = 66 - o. Solve 3*c = -t - 4*t - 26, -2*c + u = -m*t for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, z: 2, l: 1, a: 2, e: 7, s: 3}. What is prob of sequence ae?\n' | b'7/153\n' | b'Two letters picked without replacement from {n: 3, z: 2, l: 1, a: 2, e: 7, s: 3}. What is prob of sequence ae?\n' | b'7/153\n' | deepmind/math_dataset |
b'Simplify (l**2*((l/(l*l/(l**(9/5)/l)*l)*l)/l)/l)/((l*(l**(2/5)*l)/l*l)/l**(6/13)) assuming l is positive.\n' | b'l**(-139/65)\n' | b'Simplify (l**2*((l/(l*l/(l**(9/5)/l)*l)*l)/l)/l)/((l*(l**(2/5)*l)/l*l)/l**(6/13)) assuming l is positive.\n' | b'l**(-139/65)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, z: 3, y: 1, r: 2, a: 4, l: 1}. What is prob of sequence zzz?\n' | b'1/220\n' | b'Three letters picked without replacement from {v: 1, z: 3, y: 1, r: 2, a: 4, l: 1}. What is prob of sequence zzz?\n' | b'1/220\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 1 b when three letters picked without replacement from kcckbck.\n' | b'3/35\n' | b'Calculate prob of picking 2 c and 1 b when three letters picked without replacement from kcckbck.\n' | b'3/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence lhil when four letters picked without replacement from lhhfi.\n' | b'0\n' | b'Calculate prob of sequence lhil when four letters picked without replacement from lhhfi.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(a) = 2*a**4 + 2*a**3 + a. Let i(u) = -3108*u**4 + 6*u**3 + 3*u - 2635. Let j(b) = i(b) - 3*k(b). What is the first derivative of j(v) wrt v?\n' | b'-12456*v**3\n' | b'Let k(a) = 2*a**4 + 2*a**3 + a. Let i(u) = -3108*u**4 + 6*u**3 + 3*u - 2635. Let j(b) = i(b) - 3*k(b). What is the first derivative of j(v) wrt v?\n' | b'-12456*v**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 5, q: 4, n: 5, b: 3, v: 1}. What is prob of sequence qqqb?\n' | b'1/1020\n' | b'Four letters picked without replacement from {w: 5, q: 4, n: 5, b: 3, v: 1}. What is prob of sequence qqqb?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Simplify ((n/(n**1/n))**27*n**(-2/11)*n*n**(-3))/(((n*n**4)/(n*n**(3/2)))/(n*n**0*n)**(-21/4)) assuming n is positive.\n' | b'n**(130/11)\n' | b'Simplify ((n/(n**1/n))**27*n**(-2/11)*n*n**(-3))/(((n*n**4)/(n*n**(3/2)))/(n*n**0*n)**(-21/4)) assuming n is positive.\n' | b'n**(130/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 p when two letters picked without replacement from jjrrprjjqjjt?\n' | b'1/22\n' | b'What is prob of picking 1 r and 1 p when two letters picked without replacement from jjrrprjjqjjt?\n' | b'1/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pppoddpppdppopppp. Give prob of picking 2 d.\n' | b'3/136\n' | b'Two letters picked without replacement from pppoddpppdppopppp. Give prob of picking 2 d.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let o(w) be the first derivative of 4*w**3 - 4198 - 13*w**3 + 4200 - 20*w. What is the derivative of o(j) wrt j?\n' | b'-54*j\n' | b'Let o(w) be the first derivative of 4*w**3 - 4198 - 13*w**3 + 4200 - 20*w. What is the derivative of o(j) wrt j?\n' | b'-54*j\n' | deepmind/math_dataset |
b'Let p(l) = -l**3 + 10*l**2 + 10*l + 25. Let y be p(11). Suppose 0 = -5*r + 24 - y. Solve -4*z + 6 = g - r, 0 = -2*z + g + 4 for z.\n' | b'2\n' | b'Let p(l) = -l**3 + 10*l**2 + 10*l + 25. Let y be p(11). Suppose 0 = -5*r + 24 - y. Solve -4*z + 6 = g - r, 0 = -2*z + g + 4 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 7, s: 4}. What is prob of sequence sshh?\n' | b'7/110\n' | b'Four letters picked without replacement from {h: 7, s: 4}. What is prob of sequence sshh?\n' | b'7/110\n' | deepmind/math_dataset |
b'Simplify ((u/((u/(u/(u/u**(-5/11))))/u))/(u**(-19)*u))**(-1/8) assuming u is positive.\n' | b'u**(-51/22)\n' | b'Simplify ((u/((u/(u/(u/u**(-5/11))))/u))/(u**(-19)*u))**(-1/8) assuming u is positive.\n' | b'u**(-51/22)\n' | deepmind/math_dataset |
b'Let a = 18 - 6. Find the second derivative of a*n + 5*n**3 + 5093 - 5093 wrt n.\n' | b'30*n\n' | b'Let a = 18 - 6. Find the second derivative of a*n + 5*n**3 + 5093 - 5093 wrt n.\n' | b'30*n\n' | deepmind/math_dataset |
b'Simplify d**34/d**(2/9)*d**(-26)*d*d*d**(-30/11) assuming d is positive.\n' | b'd**(698/99)\n' | b'Simplify d**34/d**(2/9)*d**(-26)*d*d*d**(-30/11) assuming d is positive.\n' | b'd**(698/99)\n' | deepmind/math_dataset |
b'Let x(d) = -1031*d - 104. Let a(z) = -213*z - 21. Let r(j) = -29*a(j) + 6*x(j). Calculate r(-6).\n' | b'39\n' | b'Let x(d) = -1031*d - 104. Let a(z) = -213*z - 21. Let r(j) = -29*a(j) + 6*x(j). Calculate r(-6).\n' | b'39\n' | deepmind/math_dataset |
b'Find the second derivative of 3 + 0 - 374*u - 372*u + 69*u**4 + 772*u wrt u.\n' | b'828*u**2\n' | b'Find the second derivative of 3 + 0 - 374*u - 372*u + 69*u**4 + 772*u wrt u.\n' | b'828*u**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aiifipiif. What is prob of sequence ff?\n' | b'1/36\n' | b'Two letters picked without replacement from aiifipiif. What is prob of sequence ff?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let l be 6 - (1/(-2) - (-27)/6). Solve -x + 5*j = 10, 0 = x + 2*x - j + l for x.\n' | b'0\n' | b'Let l be 6 - (1/(-2) - (-27)/6). Solve -x + 5*j = 10, 0 = x + 2*x - j + l for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(l) = -20*l**2 - 23*l. Let w(r) = -7*r**2 - 8*r. Let n(j) = 6*c(j) - 17*w(j). What is n(3)?\n' | b'-15\n' | b'Let c(l) = -20*l**2 - 23*l. Let w(r) = -7*r**2 - 8*r. Let n(j) = 6*c(j) - 17*w(j). What is n(3)?\n' | b'-15\n' | deepmind/math_dataset |
b'Let u(q) be the second derivative of -q**9/1008 - q**6/90 + q**3/2 - q. Let h(s) be the second derivative of u(s). What is the third derivative of h(o) wrt o?\n' | b'-180*o**2\n' | b'Let u(q) be the second derivative of -q**9/1008 - q**6/90 + q**3/2 - q. Let h(s) be the second derivative of u(s). What is the third derivative of h(o) wrt o?\n' | b'-180*o**2\n' | deepmind/math_dataset |
b'Find the second derivative of 2 + 0 + 6*n**2 - 101*n + 3*n**4 + 7 - 9 wrt n.\n' | b'36*n**2 + 12\n' | b'Find the second derivative of 2 + 0 + 6*n**2 - 101*n + 3*n**4 + 7 - 9 wrt n.\n' | b'36*n**2 + 12\n' | deepmind/math_dataset |
b'Let k(m) be the first derivative of -3582*m**2 + 7517*m + 6972. Differentiate k(u) with respect to u.\n' | b'-7164\n' | b'Let k(m) be the first derivative of -3582*m**2 + 7517*m + 6972. Differentiate k(u) with respect to u.\n' | b'-7164\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 5, d: 4, m: 2}. Give prob of sequence hd.\n' | b'2/11\n' | b'Two letters picked without replacement from {h: 5, d: 4, m: 2}. Give prob of sequence hd.\n' | b'2/11\n' | deepmind/math_dataset |
b'Let n(u) = -2*u**3 - 6*u**2 + 11*u - 9. Let z be n(-6). Differentiate -67*i**4 + 8 - 6*i + z*i**4 - 73*i**4 + 5*i with respect to i.\n' | b'4*i**3 - 1\n' | b'Let n(u) = -2*u**3 - 6*u**2 + 11*u - 9. Let z be n(-6). Differentiate -67*i**4 + 8 - 6*i + z*i**4 - 73*i**4 + 5*i with respect to i.\n' | b'4*i**3 - 1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, l: 3, z: 2, f: 9}. What is prob of picking 2 z and 1 f?\n' | b'9/560\n' | b'Three letters picked without replacement from {s: 2, l: 3, z: 2, f: 9}. What is prob of picking 2 z and 1 f?\n' | b'9/560\n' | deepmind/math_dataset |
b'Simplify t**7/(t/((t/((t/(t/(t**1*t)))/t))/t))*(t*t**7*t*t)/t*t**(-3/5)*t assuming t is positive.\n' | b't**(72/5)\n' | b'Simplify t**7/(t/((t/((t/(t/(t**1*t)))/t))/t))*(t*t**7*t*t)/t*t**(-3/5)*t assuming t is positive.\n' | b't**(72/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ppnnnnnnngppnpp. Give prob of picking 3 p.\n' | b'4/91\n' | b'Three letters picked without replacement from ppnnnnnnngppnpp. Give prob of picking 3 p.\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 3 h when four letters picked without replacement from {h: 4, k: 3, j: 5, v: 4}?\n' | b'4/455\n' | b'What is prob of picking 1 v and 3 h when four letters picked without replacement from {h: 4, k: 3, j: 5, v: 4}?\n' | b'4/455\n' | deepmind/math_dataset |
b'Suppose -9 + 17 = 4*q. Suppose 2*z + q = 16. Let t(p) = -1 - 4 + p - 1 + 0. Give t(z).\n' | b'1\n' | b'Suppose -9 + 17 = 4*q. Suppose 2*z + q = 16. Let t(p) = -1 - 4 + p - 1 + 0. Give t(z).\n' | b'1\n' | deepmind/math_dataset |
b'Let i(t) be the first derivative of 0*t**2 + 129/4*t**4 + 0*t + 185 + 75*t**3. Find the third derivative of i(a) wrt a.\n' | b'774\n' | b'Let i(t) be the first derivative of 0*t**2 + 129/4*t**4 + 0*t + 185 + 75*t**3. Find the third derivative of i(a) wrt a.\n' | b'774\n' | deepmind/math_dataset |
b'Suppose x + 14*q = 10*q + 1, 0 = -3*x - 3*q + 12. Solve -4*o = -4*t + 36, 4*t - 4 = -x*o + o for o.\n' | b'-4\n' | b'Suppose x + 14*q = 10*q + 1, 0 = -3*x - 3*q + 12. Solve -4*o = -4*t + 36, 4*t - 4 = -x*o + o for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, m: 3}. What is prob of picking 1 m and 3 u?\n' | b'1/5\n' | b'Four letters picked without replacement from {u: 3, m: 3}. What is prob of picking 1 m and 3 u?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (x**(2/9)*x**(-3/4)*x**(-7)*(x/(x**3*x*x)*x*x)/x*x*x*x*x)/((x**(2/15)*x**(3/4)/x)/(x*x/((x/(x*x**(-1/2)))/x))**(-5)) assuming x is positive.\n' | b'x**(-851/45)\n' | b'Simplify (x**(2/9)*x**(-3/4)*x**(-7)*(x/(x**3*x*x)*x*x)/x*x*x*x*x)/((x**(2/15)*x**(3/4)/x)/(x*x/((x/(x*x**(-1/2)))/x))**(-5)) assuming x is positive.\n' | b'x**(-851/45)\n' | deepmind/math_dataset |
b'Simplify g*g**(-12)*g*g*g**14*g*g**(1/2)*g*g**(-2/129) assuming g is positive.\n' | b'g**(1931/258)\n' | b'Simplify g*g**(-12)*g*g*g**14*g*g**(1/2)*g*g**(-2/129) assuming g is positive.\n' | b'g**(1931/258)\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 k when two letters picked without replacement from {k: 2, p: 1, x: 1, q: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 q and 1 k when two letters picked without replacement from {k: 2, p: 1, x: 1, q: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -3*l = 2*a - 14, 14 = -5*l + 2*l + 5*a. Solve 3*v + l*y = -3*y - 12, -4*y - 16 = 4*v for v.\n' | b'-4\n' | b'Suppose -3*l = 2*a - 14, 14 = -5*l + 2*l + 5*a. Solve 3*v + l*y = -3*y - 12, -4*y - 16 = 4*v for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z(p) = p**3 + 4*p**2 - 10*p + 12. Let a be z(-6). Let k(l) be the third derivative of 0 + 1/6*l**3 + l**2 + a*l + 1/8*l**4 - 1/60*l**5. What is k(-2)?\n' | b'-9\n' | b'Let z(p) = p**3 + 4*p**2 - 10*p + 12. Let a be z(-6). Let k(l) be the third derivative of 0 + 1/6*l**3 + l**2 + a*l + 1/8*l**4 - 1/60*l**5. What is k(-2)?\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose v + 30 - 21 = 0. Let n(r) be the first derivative of -3*r**2/2 - 24*r - 14. Let k be n(v). Solve -5*l + 4*q = 33, 5*l + 12 = k*q - 19 for l.\n' | b'-5\n' | b'Suppose v + 30 - 21 = 0. Let n(r) be the first derivative of -3*r**2/2 - 24*r - 14. Let k be n(v). Solve -5*l + 4*q = 33, 5*l + 12 = k*q - 19 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bwbbbbbbbbbwbbbbbbbb. Give prob of sequence wbbb.\n' | b'8/95\n' | b'Four letters picked without replacement from bwbbbbbbbbbwbbbbbbbb. Give prob of sequence wbbb.\n' | b'8/95\n' | deepmind/math_dataset |
b'Let x(n) = -n**5 - 4*n**4 + n**3. Let i(b) = -11*b**5 - 8*b**4 + 11*b**3 + 4*b**2 - 3429*b. Let y(d) = i(d) - 2*x(d). Find the second derivative of y(o) wrt o.\n' | b'-180*o**3 + 54*o + 8\n' | b'Let x(n) = -n**5 - 4*n**4 + n**3. Let i(b) = -11*b**5 - 8*b**4 + 11*b**3 + 4*b**2 - 3429*b. Let y(d) = i(d) - 2*x(d). Find the second derivative of y(o) wrt o.\n' | b'-180*o**3 + 54*o + 8\n' | deepmind/math_dataset |
b'Let p(a) = a - 1. Let r(s) = -2*s + 12. Let v be r(3). Calculate p(v).\n' | b'5\n' | b'Let p(a) = a - 1. Let r(s) = -2*s + 12. Let v be r(3). Calculate p(v).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 x when two letters picked without replacement from {j: 2, x: 4, t: 3}?\n' | b'1/3\n' | b'What is prob of picking 1 t and 1 x when two letters picked without replacement from {j: 2, x: 4, t: 3}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (a**(-2/27))**(-5/8) assuming a is positive.\n' | b'a**(5/108)\n' | b'Simplify (a**(-2/27))**(-5/8) assuming a is positive.\n' | b'a**(5/108)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 4, o: 1, q: 3, x: 1, g: 5}. What is prob of sequence gx?\n' | b'5/182\n' | b'Two letters picked without replacement from {l: 4, o: 1, q: 3, x: 1, g: 5}. What is prob of sequence gx?\n' | b'5/182\n' | deepmind/math_dataset |
b'Suppose -2 + 44 - 7 = -35*t. Let i(j) = -5*j + 5. Let g(k) be the third derivative of 5*k**4/12 - 3*k**3/2 + 2*k**2. Let c(y) = 6*g(y) + 11*i(y). Give c(t).\n' | b'-4\n' | b'Suppose -2 + 44 - 7 = -35*t. Let i(j) = -5*j + 5. Let g(k) be the third derivative of 5*k**4/12 - 3*k**3/2 + 2*k**2. Let c(y) = 6*g(y) + 11*i(y). Give c(t).\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(d) = d**5 - 6*d**4 - 13*d - 6. Let c(z) = -7*z**5 + 49*z**4 + 105*z + 49. Let x(n) = -6*c(n) - 49*y(n). What is the second derivative of x(q) wrt q?\n' | b'-140*q**3\n' | b'Let y(d) = d**5 - 6*d**4 - 13*d - 6. Let c(z) = -7*z**5 + 49*z**4 + 105*z + 49. Let x(n) = -6*c(n) - 49*y(n). What is the second derivative of x(q) wrt q?\n' | b'-140*q**3\n' | deepmind/math_dataset |
b'Suppose 5 = 3*a - 7. Let f(c) = 2*c + 4. Let g(x) = -2*x + 8. Let p(n) = 3*n - 14. Let s(q) = -5*g(q) - 3*p(q). Let w(m) = 2*f(m) - 3*s(m). Give w(a).\n' | b'6\n' | b'Suppose 5 = 3*a - 7. Let f(c) = 2*c + 4. Let g(x) = -2*x + 8. Let p(n) = 3*n - 14. Let s(q) = -5*g(q) - 3*p(q). Let w(m) = 2*f(m) - 3*s(m). Give w(a).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -n = 2*n. Let p(g) be the third derivative of -g**2 + 0*g**4 + 0*g - 7/6*g**3 - 1/60*g**5 + 0. What is p(n)?\n' | b'-7\n' | b'Suppose -n = 2*n. Let p(g) be the third derivative of -g**2 + 0*g**4 + 0*g - 7/6*g**3 - 1/60*g**5 + 0. What is p(n)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let i(k) = -2*k**2 - 4. Let q(z) = 1 - 3 + 3. Let d(p) = i(p) + 3*q(p). Calculate d(1).\n' | b'-3\n' | b'Let i(k) = -2*k**2 - 4. Let q(z) = 1 - 3 + 3. Let d(p) = i(p) + 3*q(p). Calculate d(1).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence yyl when three letters picked without replacement from lyjly?\n' | b'1/15\n' | b'What is prob of sequence yyl when three letters picked without replacement from lyjly?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let b(z) be the second derivative of z**7/21 - 22*z**6/15 - 43*z**4/12 - 56*z**3/3 + 7*z - 53. Find the second derivative of b(f) wrt f.\n' | b'40*f**3 - 528*f**2 - 86\n' | b'Let b(z) be the second derivative of z**7/21 - 22*z**6/15 - 43*z**4/12 - 56*z**3/3 + 7*z - 53. Find the second derivative of b(f) wrt f.\n' | b'40*f**3 - 528*f**2 - 86\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gdwwdu. What is prob of sequence wg?\n' | b'1/15\n' | b'Two letters picked without replacement from gdwwdu. What is prob of sequence wg?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let z(n) = -n**3 + 2*n**2 - 2*n + 4. Let x = 545 + -566. Let j be (x - -34)*(-6)/(-39). Give z(j).\n' | b'0\n' | b'Let z(n) = -n**3 + 2*n**2 - 2*n + 4. Let x = 545 + -566. Let j be (x - -34)*(-6)/(-39). Give z(j).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 i, and 2 y when four letters picked without replacement from qyiozuiy?\n' | b'1/35\n' | b'What is prob of picking 1 o, 1 i, and 2 y when four letters picked without replacement from qyiozuiy?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let a(f) = f**3 - 7*f**2 + f. Let n be a(7). Solve 3*x = r + 1, 0 = -8*x + 3*x - r + n for x.\n' | b'1\n' | b'Let a(f) = f**3 - 7*f**2 + f. Let n be a(7). Solve 3*x = r + 1, 0 = -8*x + 3*x - r + n for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let y(f) be the second derivative of -33*f**4/2 + 65*f**2 - 2*f - 1. Differentiate y(w) with respect to w.\n' | b'-396*w\n' | b'Let y(f) be the second derivative of -33*f**4/2 + 65*f**2 - 2*f - 1. Differentiate y(w) with respect to w.\n' | b'-396*w\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 3, u: 1}. What is prob of sequence gg?\n' | b'1/2\n' | b'Two letters picked without replacement from {g: 3, u: 1}. What is prob of sequence gg?\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose 0 = 3*t - 9 - 6. Let d(b) = 5*b - 15*b**2 + 14*b**2 - t - 1. Let w be (2/(-2))/(1/(-5)). What is d(w)?\n' | b'-6\n' | b'Suppose 0 = 3*t - 9 - 6. Let d(b) = 5*b - 15*b**2 + 14*b**2 - t - 1. Let w be (2/(-2))/(1/(-5)). What is d(w)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((w/w**(1/4))**(5/4))**(3/28)*((w**(-1/8)/w)**(-36))**(-50) assuming w is positive.\n' | b'w**(-907155/448)\n' | b'Simplify ((w/w**(1/4))**(5/4))**(3/28)*((w**(-1/8)/w)**(-36))**(-50) assuming w is positive.\n' | b'w**(-907155/448)\n' | deepmind/math_dataset |
b'Let g(b) = 9 + 8 + b + 0 + 0*b. Calculate g(-11).\n' | b'6\n' | b'Let g(b) = 9 + 8 + b + 0 + 0*b. Calculate g(-11).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 4*s = 6*s - 4. Let f = 7 - 3. What is the third derivative of 0*p**f + 32*p**2 + 4*p**4 - 47*p**s + 13*p**4 wrt p?\n' | b'408*p\n' | b'Suppose 4*s = 6*s - 4. Let f = 7 - 3. What is the third derivative of 0*p**f + 32*p**2 + 4*p**4 - 47*p**s + 13*p**4 wrt p?\n' | b'408*p\n' | deepmind/math_dataset |
b'Let c = -19 + 22. Solve 4 = 4*z, 4*o - c*z = -0 - 7 for o.\n' | b'-1\n' | b'Let c = -19 + 22. Solve 4 = 4*z, 4*o - c*z = -0 - 7 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (r*r*r**2)**(13/4)/(r/(r/r**2)*r**(3/5))*((r/(r*r/(r**(-4)*r*r)))/(r**(1/2)/r))**(4/3) assuming r is positive.\n' | b'r**(106/15)\n' | b'Simplify (r*r*r**2)**(13/4)/(r/(r/r**2)*r**(3/5))*((r/(r*r/(r**(-4)*r*r)))/(r**(1/2)/r))**(4/3) assuming r is positive.\n' | b'r**(106/15)\n' | deepmind/math_dataset |
b'Simplify (a**(1/8)/a*a**(-1/26)*(a**4)**(-14/3))**(30/13) assuming a is positive.\n' | b'a**(-30545/676)\n' | b'Simplify (a**(1/8)/a*a**(-1/26)*(a**4)**(-14/3))**(30/13) assuming a is positive.\n' | b'a**(-30545/676)\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 g when two letters picked without replacement from gggiigigggi?\n' | b'28/55\n' | b'What is prob of picking 1 i and 1 g when two letters picked without replacement from gggiigigggi?\n' | b'28/55\n' | deepmind/math_dataset |
b'Let l be ((-7)/(-3) + -1)/(10/15). Let d(b) be the second derivative of -1/6*b**3 + 2*b + b**l - 5/12*b**4 + 1/20*b**5 + 0. What is d(5)?\n' | b'-3\n' | b'Let l be ((-7)/(-3) + -1)/(10/15). Let d(b) be the second derivative of -1/6*b**3 + 2*b + b**l - 5/12*b**4 + 1/20*b**5 + 0. What is d(5)?\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vgfgvofnvvffvwnoov. Give prob of picking 1 w and 1 o.\n' | b'1/51\n' | b'Two letters picked without replacement from vgfgvofnvvffvwnoov. Give prob of picking 1 w and 1 o.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let d(b) be the first derivative of 16*b - 30 + 1/2*b**2. Determine d(-9).\n' | b'7\n' | b'Let d(b) be the first derivative of 16*b - 30 + 1/2*b**2. Determine d(-9).\n' | b'7\n' | deepmind/math_dataset |
b'Let v be 0/(-49)*(-1)/3. Let n(m) = -m + 14. Let q be n(6). Suppose -2*a - 2 + q = v. Let k(h) = 3*h + 4. What is k(a)?\n' | b'13\n' | b'Let v be 0/(-49)*(-1)/3. Let n(m) = -m + 14. Let q be n(6). Suppose -2*a - 2 + q = v. Let k(h) = 3*h + 4. What is k(a)?\n' | b'13\n' | deepmind/math_dataset |
b'Simplify b**(-19)*b**(1/13)/b assuming b is positive.\n' | b'b**(-259/13)\n' | b'Simplify b**(-19)*b**(1/13)/b assuming b is positive.\n' | b'b**(-259/13)\n' | deepmind/math_dataset |
b'Simplify k**(-4/7)/((k/((k/(k/(k**(-9/7)/k))*k)/k))/k)*(k**(-1/3)/k)**(-7) assuming k is positive.\n' | b'k**(136/21)\n' | b'Simplify k**(-4/7)/((k/((k/(k/(k**(-9/7)/k))*k)/k))/k)*(k**(-1/3)/k)**(-7) assuming k is positive.\n' | b'k**(136/21)\n' | deepmind/math_dataset |
b'Let x = -9 - -4. Let k be (-7)/(-3) + x/15. What is the third derivative of -5*p**2 - p**6 + 6*p**k - p**6 wrt p?\n' | b'-240*p**3\n' | b'Let x = -9 - -4. Let k be (-7)/(-3) + x/15. What is the third derivative of -5*p**2 - p**6 + 6*p**k - p**6 wrt p?\n' | b'-240*p**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vcvuuvuuuclvjulvv. What is prob of picking 1 v and 1 j?\n' | b'3/68\n' | b'Two letters picked without replacement from vcvuuvuuuclvjulvv. What is prob of picking 1 v and 1 j?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let s(a) = a**3 - 5*a**2 + a - 3. Let r be s(5). What is the third derivative of -13*k**r + 13*k**2 - 3*k**5 - 6*k**2 wrt k?\n' | b'-180*k**2\n' | b'Let s(a) = a**3 - 5*a**2 + a - 3. Let r be s(5). What is the third derivative of -13*k**r + 13*k**2 - 3*k**5 - 6*k**2 wrt k?\n' | b'-180*k**2\n' | deepmind/math_dataset |
b'Let t be 4*(-7)/4 - -1*(9 + 3). Solve -3*o + o + 19 = 3*n, 0 = -2*o + 5*n - t for o.\n' | b'5\n' | b'Let t be 4*(-7)/4 - -1*(9 + 3). Solve -3*o + o + 19 = 3*n, 0 = -2*o + 5*n - t for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let u(k) be the second derivative of 17*k**3/6 + 25*k**2/2 + 9*k. What is the derivative of u(m) wrt m?\n' | b'17\n' | b'Let u(k) be the second derivative of 17*k**3/6 + 25*k**2/2 + 9*k. What is the derivative of u(m) wrt m?\n' | b'17\n' | deepmind/math_dataset |
b'Suppose 33 = 2*r + 9. Let v be (-1)/(-3) + 224/r. Solve 0 = m - 2*m - 4*c + 22, 2*m = -3*c + v for m.\n' | b'2\n' | b'Suppose 33 = 2*r + 9. Let v be (-1)/(-3) + 224/r. Solve 0 = m - 2*m - 4*c + 22, 2*m = -3*c + v for m.\n' | b'2\n' | deepmind/math_dataset |
b'What is the third derivative of t**4 - t**3 + 340*t - t**3 - 81*t**2 - 340*t wrt t?\n' | b'24*t - 12\n' | b'What is the third derivative of t**4 - t**3 + 340*t - t**3 - 81*t**2 - 340*t wrt t?\n' | b'24*t - 12\n' | deepmind/math_dataset |
b'Simplify (p**2*p*p*p*p*p/(((p**(-15)*p)/p)/p)*p)**(-32) assuming p is positive.\n' | b'p**(-768)\n' | b'Simplify (p**2*p*p*p*p*p/(((p**(-15)*p)/p)/p)*p)**(-32) assuming p is positive.\n' | b'p**(-768)\n' | deepmind/math_dataset |
b'Simplify (d**1)**(-8/7)*(d**7)**(-9) assuming d is positive.\n' | b'd**(-449/7)\n' | b'Simplify (d**1)**(-8/7)*(d**7)**(-9) assuming d is positive.\n' | b'd**(-449/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, c: 1, k: 1, m: 1, a: 1}. What is prob of sequence acm?\n' | b'1/60\n' | b'Three letters picked without replacement from {j: 1, c: 1, k: 1, m: 1, a: 1}. What is prob of sequence acm?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let r(j) = 11*j - 29. Let g(i) = 5*i. Let c(b) = g(b) - r(b). What is c(7)?\n' | b'-13\n' | b'Let r(j) = 11*j - 29. Let g(i) = 5*i. Let c(b) = g(b) - r(b). What is c(7)?\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 2 + 3 = m. Let d be -1 - (2 - 1 - 2). Suppose 5*p - x - 4*x = d, -2*x = -3*p + m. Solve 2*c - 9 - 12 = p*w, -3*c + 2*w = -15 for c.\n' | b'3\n' | b'Suppose 2 + 3 = m. Let d be -1 - (2 - 1 - 2). Suppose 5*p - x - 4*x = d, -2*x = -3*p + m. Solve 2*c - 9 - 12 = p*w, -3*c + 2*w = -15 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pciz when four letters picked without replacement from cziiicpicvcbcvpvibpi.\n' | b'1/1292\n' | b'Calculate prob of sequence pciz when four letters picked without replacement from cziiicpicvcbcvpvibpi.\n' | b'1/1292\n' | deepmind/math_dataset |
b'Suppose -2*r - r = -12. Suppose -5*s + 3 - 8 = 5*c, 4*s - 5*c - 32 = 0. Find the first derivative of j**r + 0 - 2 - j**4 - s*j**4 wrt j.\n' | b'-12*j**3\n' | b'Suppose -2*r - r = -12. Suppose -5*s + 3 - 8 = 5*c, 4*s - 5*c - 32 = 0. Find the first derivative of j**r + 0 - 2 - j**4 - s*j**4 wrt j.\n' | b'-12*j**3\n' | deepmind/math_dataset |
b'Suppose -4*g + 33 - 9 = 0. Solve 3*a - 3*v - 6 = 0, 2*a - g = -a - 4*v for a.\n' | b'2\n' | b'Suppose -4*g + 33 - 9 = 0. Solve 3*a - 3*v - 6 = 0, 2*a - g = -a - 4*v for a.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ig when two letters picked without replacement from {g: 1, n: 1, i: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence ig when two letters picked without replacement from {g: 1, n: 1, i: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from {q: 1, m: 1, z: 11, j: 2, f: 1}?\n' | b'1/120\n' | b'What is prob of picking 2 j when two letters picked without replacement from {q: 1, m: 1, z: 11, j: 2, f: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let m(l) = l**2 + 2. Let u = -81 - -81. What is m(u)?\n' | b'2\n' | b'Let m(l) = l**2 + 2. Let u = -81 - -81. What is m(u)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (n/(n/n**(3/7))*n**(2/25))/(n**(1/26)/(n**(-14)/n)) assuming n is positive.\n' | b'n**(-66111/4550)\n' | b'Simplify (n/(n/n**(3/7))*n**(2/25))/(n**(1/26)/(n**(-14)/n)) assuming n is positive.\n' | b'n**(-66111/4550)\n' | deepmind/math_dataset |
b'Simplify (f/((f/(f*(f*f/(f**(-5/7)/f)*f)/f))/f)*f*f/f**(8/3))**(-32/5) assuming f is positive.\n' | b'f**(-3392/105)\n' | b'Simplify (f/((f/(f*(f*f/(f**(-5/7)/f)*f)/f))/f)*f*f/f**(8/3))**(-32/5) assuming f is positive.\n' | b'f**(-3392/105)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 1, d: 1, j: 2, z: 1, p: 4}?\n' | b'1/36\n' | b'What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 1, d: 1, j: 2, z: 1, p: 4}?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (r**4/((r*r/(r/(r*r**(2/33))))/r)*r**(-13)/(r/r**(-3/8)))**(3/20) assuming r is positive.\n' | b'r**(-3019/1760)\n' | b'Simplify (r**4/((r*r/(r/(r*r**(2/33))))/r)*r**(-13)/(r/r**(-3/8)))**(3/20) assuming r is positive.\n' | b'r**(-3019/1760)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from thhlthll. What is prob of picking 1 t, 1 l, and 1 h?\n' | b'9/28\n' | b'Three letters picked without replacement from thhlthll. What is prob of picking 1 t, 1 l, and 1 h?\n' | b'9/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 11, s: 1}. Give prob of picking 2 c and 1 s.\n' | b'1/4\n' | b'Three letters picked without replacement from {c: 11, s: 1}. Give prob of picking 2 c and 1 s.\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify (((n**(-2/9)/n)/(n/n**(-2/3))*(n**0)**(-43))**(-1/30))**(10/7) assuming n is positive.\n' | b'n**(26/189)\n' | b'Simplify (((n**(-2/9)/n)/(n/n**(-2/3))*(n**0)**(-43))**(-1/30))**(10/7) assuming n is positive.\n' | b'n**(26/189)\n' | deepmind/math_dataset |
b'Let v(s) = -s**3 - 3*s**2 - 2*s. Let a(f) = 5*f + 8 + 15 + 5. Let u be a(-6). Give v(u).\n' | b'0\n' | b'Let v(s) = -s**3 - 3*s**2 - 2*s. Let a(f) = 5*f + 8 + 15 + 5. Let u be a(-6). Give v(u).\n' | b'0\n' | deepmind/math_dataset |
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