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 h(k) = 2*k**3 + 4*k**2 + k - 2. Suppose 3*b - 9 + 0 = 0. Suppose -2*q = 2, q + b*q = 2*a. Give h(a).\n' | b'-4\n' | b'Let h(k) = 2*k**3 + 4*k**2 + k - 2. Suppose 3*b - 9 + 0 = 0. Suppose -2*q = 2, q + b*q = 2*a. Give h(a).\n' | b'-4\n' | deepmind/math_dataset |
b'Let d be (3/2)/((-2)/(-20)). Suppose 0 = -9*r + 4*r + d. Solve r*g - 18 = -3*h, 5*h + 8 = -4*g + 33 for g.\n' | b'5\n' | b'Let d be (3/2)/((-2)/(-20)). Suppose 0 = -9*r + 4*r + d. Solve r*g - 18 = -3*h, 5*h + 8 = -4*g + 33 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let i = 71 + -35. What is the third derivative of i*y**2 - 2*y**6 - 65*y**2 + 41*y**2 wrt y?\n' | b'-240*y**3\n' | b'Let i = 71 + -35. What is the third derivative of i*y**2 - 2*y**6 - 65*y**2 + 41*y**2 wrt y?\n' | b'-240*y**3\n' | deepmind/math_dataset |
b'Simplify ((k/(k**(1/7)*k*k)*k**(1/2)/k)/(k**(1/2)*k*k**(-2/5)))**(-6/13) assuming k is positive.\n' | b'k**(576/455)\n' | b'Simplify ((k/(k**(1/7)*k*k)*k**(1/2)/k)/(k**(1/2)*k*k**(-2/5)))**(-6/13) assuming k is positive.\n' | b'k**(576/455)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, q: 2, b: 1, l: 3}. Give prob of picking 1 q and 1 d.\n' | b'2/21\n' | b'Two letters picked without replacement from {d: 1, q: 2, b: 1, l: 3}. Give prob of picking 1 q and 1 d.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let d(z) = -2*z**2 - z - 1. Let u(t) = -192*t**2 - 5*t - 136. Let v(r) = 5*d(r) - u(r). Differentiate v(g) with respect to g.\n' | b'364*g\n' | b'Let d(z) = -2*z**2 - z - 1. Let u(t) = -192*t**2 - 5*t - 136. Let v(r) = 5*d(r) - u(r). Differentiate v(g) with respect to g.\n' | b'364*g\n' | deepmind/math_dataset |
b'Let x(w) = w - 4*w**2 + 5*w**2 - 3*w + w**2. Let c be x(-1). Solve -5 = s, -d + 40 = c*d - 4*s for d.\n' | b'4\n' | b'Let x(w) = w - 4*w**2 + 5*w**2 - 3*w + w**2. Let c be x(-1). Solve -5 = s, -d + 40 = c*d - 4*s for d.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (w/w**(3/7)*w)**(21/4)/((w*((w*w**3*w)/w)/w)/(w*w*w/(w**(3/5)*w)*w)) assuming w is positive.\n' | b'w**(133/20)\n' | b'Simplify (w/w**(3/7)*w)**(21/4)/((w*((w*w**3*w)/w)/w)/(w*w*w/(w**(3/5)*w)*w)) assuming w is positive.\n' | b'w**(133/20)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvvvvv. Give prob of sequence vvvv.\n' | b'1\n' | b'Four letters picked without replacement from vvvvvvv. Give prob of sequence vvvv.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify q**(2/25)/(q/(q/q**(-14)))*q**(1/21)*(((((q*(q/q**11*q)/q*q)/q)/q)/q)/q)/q*q assuming q is positive.\n' | b'q**(1117/525)\n' | b'Simplify q**(2/25)/(q/(q/q**(-14)))*q**(1/21)*(((((q*(q/q**11*q)/q*q)/q)/q)/q)/q)/q*q assuming q is positive.\n' | b'q**(1117/525)\n' | deepmind/math_dataset |
b'Let g(o) be the second derivative of -o**4/12 + 7*o**3/6 - o**2 - o. Let l = -22 - -28. Let w be g(l). Let n(r) = -r**2 + 4*r - 2. What is n(w)?\n' | b'-2\n' | b'Let g(o) be the second derivative of -o**4/12 + 7*o**3/6 - o**2 - o. Let l = -22 - -28. Let w be g(l). Let n(r) = -r**2 + 4*r - 2. What is n(w)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let b = 10 - 7. Suppose 2*f = b*f + 5. Let t(c) = -2*c - 7. Determine t(f).\n' | b'3\n' | b'Let b = 10 - 7. Suppose 2*f = b*f + 5. Let t(c) = -2*c - 7. Determine t(f).\n' | b'3\n' | deepmind/math_dataset |
b'Let v(n) be the third derivative of n**5/60 + 3*n**3/2 - 8*n**2. Find the first derivative of v(f) wrt f.\n' | b'2*f\n' | b'Let v(n) be the third derivative of n**5/60 + 3*n**3/2 - 8*n**2. Find the first derivative of v(f) wrt f.\n' | b'2*f\n' | deepmind/math_dataset |
b'Suppose 5*g + 2 = -3*m - 3, 4*g = -3*m - 7. Suppose -4*z + 14 = -g. Solve 4*i + 31 = 3*q + 10, -z*q + 3 = 3*i for i.\n' | b'-3\n' | b'Suppose 5*g + 2 = -3*m - 3, 4*g = -3*m - 7. Suppose -4*z + 14 = -g. Solve 4*i + 31 = 3*q + 10, -z*q + 3 = 3*i for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i be (-5 - 63/(-15))*225/(-30). Solve -i = 3*b - 3*n - 9, -5*b = -n - 9 for b.\n' | b'2\n' | b'Let i be (-5 - 63/(-15))*225/(-30). Solve -i = 3*b - 3*n - 9, -5*b = -n - 9 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 43*n + 76 = 24*n. Let p(r) be the first derivative of r**2 - r - 1 - 4/3*r**3 - 1/4*r**4. Determine p(n).\n' | b'-9\n' | b'Suppose 43*n + 76 = 24*n. Let p(r) be the first derivative of r**2 - r - 1 - 4/3*r**3 - 1/4*r**4. Determine p(n).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (((n*n*n**13*n*n)/(n*n*n*n**(-20/9)/n*n*n))/(n**(-13)*n/n**(-2/5)))**(-28) assuming n is positive.\n' | b'n**(-33796/45)\n' | b'Simplify (((n*n*n**13*n*n)/(n*n*n*n**(-20/9)/n*n*n))/(n**(-13)*n/n**(-2/5)))**(-28) assuming n is positive.\n' | b'n**(-33796/45)\n' | deepmind/math_dataset |
b'Let h be (-7 - 2)/3*-1. Find the third derivative of 1 - 10*t**3 - 7*t**2 + 4*t**h - 1 wrt t.\n' | b'-36\n' | b'Let h be (-7 - 2)/3*-1. Find the third derivative of 1 - 10*t**3 - 7*t**2 + 4*t**h - 1 wrt t.\n' | b'-36\n' | deepmind/math_dataset |
b'Let d = -38 - -43. Solve o + d*b = -o - 8, -3*b = 0 for o.\n' | b'-4\n' | b'Let d = -38 - -43. Solve o + d*b = -o - 8, -3*b = 0 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 13, k: 5}. What is prob of sequence rrkr?\n' | b'143/1224\n' | b'Four letters picked without replacement from {r: 13, k: 5}. What is prob of sequence rrkr?\n' | b'143/1224\n' | deepmind/math_dataset |
b'What is prob of sequence fkl when three letters picked without replacement from kfkkkkkkflkl?\n' | b'4/165\n' | b'What is prob of sequence fkl when three letters picked without replacement from kfkkkkkkflkl?\n' | b'4/165\n' | deepmind/math_dataset |
b'Let u(q) = q**2 + 2*q + 4. Let w be u(-2). Suppose 0*n - w = -2*n. What is the third derivative of s**5 + 0*s**5 - s**2 + 0*s**n - 4*s**5 wrt s?\n' | b'-180*s**2\n' | b'Let u(q) = q**2 + 2*q + 4. Let w be u(-2). Suppose 0*n - w = -2*n. What is the third derivative of s**5 + 0*s**5 - s**2 + 0*s**n - 4*s**5 wrt s?\n' | b'-180*s**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrr.\n' | b'1\n' | b'Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrr.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(a) = a**2 - 8*a. Let z be (6/15)/((-2)/(-10)). Let i(w) = 12*w + 57. Let t be i(-5). Let x be t/(z + 26/(-10)). Calculate d(x).\n' | b'-15\n' | b'Let d(a) = a**2 - 8*a. Let z be (6/15)/((-2)/(-10)). Let i(w) = 12*w + 57. Let t be i(-5). Let x be t/(z + 26/(-10)). Calculate d(x).\n' | b'-15\n' | deepmind/math_dataset |
b'Let g(i) be the second derivative of 0*i**3 - 1/4*i**4 + 0*i**2 - 1/360*i**6 - 1/40*i**5 + 0 + i. Let h(n) be the third derivative of g(n). Determine h(4).\n' | b'-11\n' | b'Let g(i) be the second derivative of 0*i**3 - 1/4*i**4 + 0*i**2 - 1/360*i**6 - 1/40*i**5 + 0 + i. Let h(n) be the third derivative of g(n). Determine h(4).\n' | b'-11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, v: 1, b: 2, k: 3}. Give prob of picking 1 b and 2 k.\n' | b'6/35\n' | b'Three letters picked without replacement from {r: 1, v: 1, b: 2, k: 3}. Give prob of picking 1 b and 2 k.\n' | b'6/35\n' | deepmind/math_dataset |
b'Let u be -2 + -3 - 4/(-4). Let a(r) = 9*r**3 + 8*r**2 + 4*r + 2. Let m(b) = -4*b**3 - 4*b**2 - 2*b - 1. Let l(t) = -3*a(t) - 7*m(t). What is l(u)?\n' | b'-7\n' | b'Let u be -2 + -3 - 4/(-4). Let a(r) = 9*r**3 + 8*r**2 + 4*r + 2. Let m(b) = -4*b**3 - 4*b**2 - 2*b - 1. Let l(t) = -3*a(t) - 7*m(t). What is l(u)?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gsssegqsgggzgsgzssg. Give prob of sequence qs.\n' | b'7/342\n' | b'Two letters picked without replacement from gsssegqsgggzgsgzssg. Give prob of sequence qs.\n' | b'7/342\n' | deepmind/math_dataset |
b'Let q(c) = 22*c + 312. Let r be q(-14). Let z(d) = 2*d - 2*d - 3*d. Determine z(r).\n' | b'-12\n' | b'Let q(c) = 22*c + 312. Let r be q(-14). Let z(d) = 2*d - 2*d - 3*d. Determine z(r).\n' | b'-12\n' | deepmind/math_dataset |
b'Let d be 4/16*18*(-4)/(-9). Let x(t) = 7*t**d - 5*t + 3*t**2 - 12*t**2 + 3*t + 2 + t**3. Determine x(-2).\n' | b'-10\n' | b'Let d be 4/16*18*(-4)/(-9). Let x(t) = 7*t**d - 5*t + 3*t**2 - 12*t**2 + 3*t + 2 + t**3. Determine x(-2).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (v/((((v**(-2/21)*v)/v)/v)/v)*v*v)/(v/v**10*v*v) assuming v is positive.\n' | b'v**(254/21)\n' | b'Simplify (v/((((v**(-2/21)*v)/v)/v)/v)*v*v)/(v/v**10*v*v) assuming v is positive.\n' | b'v**(254/21)\n' | deepmind/math_dataset |
b'Suppose 3 = -z, 10*x - 110 = 5*x + 5*z. Suppose 23 + x = 6*n. Suppose -n = -4*p + 1. Solve j = 3*i + 11, 0 = -2*i - j - j - p for i.\n' | b'-3\n' | b'Suppose 3 = -z, 10*x - 110 = 5*x + 5*z. Suppose 23 + x = 6*n. Suppose -n = -4*p + 1. Solve j = 3*i + 11, 0 = -2*i - j - j - p for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, m: 2, i: 2, a: 5, p: 2, h: 5}. What is prob of picking 3 h and 1 m?\n' | b'1/119\n' | b'Four letters picked without replacement from {s: 1, m: 2, i: 2, a: 5, p: 2, h: 5}. What is prob of picking 3 h and 1 m?\n' | b'1/119\n' | deepmind/math_dataset |
b'Suppose -4*y = -3*u - 86, 4*u + 119 = 5*y + 4. Let d = u - -42. Solve 4*w = 4*v - 2 - 6, 0 = 3*w + d for v.\n' | b'-2\n' | b'Suppose -4*y = -3*u - 86, 4*u + 119 = 5*y + 4. Let d = u - -42. Solve 4*w = 4*v - 2 - 6, 0 = 3*w + d for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (q/(q**(-1/7)*q))/(q*q/(q/((q/q**(-14/3)*q)/q))*q) assuming q is positive.\n' | b'q**(-158/21)\n' | b'Simplify (q/(q**(-1/7)*q))/(q*q/(q/((q/q**(-14/3)*q)/q))*q) assuming q is positive.\n' | b'q**(-158/21)\n' | deepmind/math_dataset |
b'Suppose -13*t + 3*z - 7 = -18*t, -5*t = -3*z + 17. Let n(p) = -9*p - 4. Determine n(t).\n' | b'5\n' | b'Suppose -13*t + 3*z - 7 = -18*t, -5*t = -3*z + 17. Let n(p) = -9*p - 4. Determine n(t).\n' | b'5\n' | deepmind/math_dataset |
b'What is the third derivative of 884*m**4 + 428*m**4 - 2*m**2 - 191 - 27 wrt m?\n' | b'31488*m\n' | b'What is the third derivative of 884*m**4 + 428*m**4 - 2*m**2 - 191 - 27 wrt m?\n' | b'31488*m\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cslhr. Give prob of picking 1 l, 1 r, and 1 s.\n' | b'1/10\n' | b'Three letters picked without replacement from cslhr. Give prob of picking 1 l, 1 r, and 1 s.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -3*z + 2 + 7 = 0. Suppose -5*t = 4*o - 11, -o + 1 = -0*t + z*t. Find the second derivative of o*g - 8 + 7 + 1 - 5*g**5 wrt g.\n' | b'-100*g**3\n' | b'Suppose -3*z + 2 + 7 = 0. Suppose -5*t = 4*o - 11, -o + 1 = -0*t + z*t. Find the second derivative of o*g - 8 + 7 + 1 - 5*g**5 wrt g.\n' | b'-100*g**3\n' | deepmind/math_dataset |
b'Simplify p**6/p**(-1/9)*p**(3/5)*p*p**(1/3) assuming p is positive.\n' | b'p**(362/45)\n' | b'Simplify p**6/p**(-1/9)*p**(3/5)*p*p**(1/3) assuming p is positive.\n' | b'p**(362/45)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kcbkruuukcc. Give prob of picking 1 u and 1 r.\n' | b'3/55\n' | b'Two letters picked without replacement from kcbkruuukcc. Give prob of picking 1 u and 1 r.\n' | b'3/55\n' | deepmind/math_dataset |
b'Suppose 33 = -5*s - 12. Let i = -4 - s. Solve -6*h + i*m + 6 = -4*h, -3*m = 3*h + 12 for h.\n' | b'-2\n' | b'Suppose 33 = -5*s - 12. Let i = -4 - s. Solve -6*h + i*m + 6 = -4*h, -3*m = 3*h + 12 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h be (4 + 1)*2/5. Differentiate -h - 1 + 6*a**4 - 3*a**4 with respect to a.\n' | b'12*a**3\n' | b'Let h be (4 + 1)*2/5. Differentiate -h - 1 + 6*a**4 - 3*a**4 with respect to a.\n' | b'12*a**3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*h - 5 - 1. Let k(w) be the third derivative of -w**4/24 + w**3/2 + 2*w**2. Determine k(h).\n' | b'0\n' | b'Suppose 0 = 2*h - 5 - 1. Let k(w) be the third derivative of -w**4/24 + w**3/2 + 2*w**2. Determine k(h).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -3*s + 2 = -4*y, -4*y - y + 11 = 3*s. Let z(p) = -249 - 4*p**3 + 124 + 126 - p**2. Determine z(y).\n' | b'-4\n' | b'Suppose -3*s + 2 = -4*y, -4*y - y + 11 = 3*s. Let z(p) = -249 - 4*p**3 + 124 + 126 - p**2. Determine z(y).\n' | b'-4\n' | deepmind/math_dataset |
b'Let x be (47/(141/6))/(4/10). Solve 3*s + n + 4*n = 25, -x*s = -3*n + 15 for s.\n' | b'0\n' | b'Let x be (47/(141/6))/(4/10). Solve 3*s + n + 4*n = 25, -x*s = -3*n + 15 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 11, t: 3}. Give prob of picking 3 o.\n' | b'165/364\n' | b'Three letters picked without replacement from {o: 11, t: 3}. Give prob of picking 3 o.\n' | b'165/364\n' | deepmind/math_dataset |
b'Let u be 63/12 - (-3)/4. Let p(l) = -4*l**2 - 3*l + l**3 - 3*l**2 + 9*l + 4. Let z be p(u). Solve z*j - 2*k = 8, 2*j + 0*k = 2*k + 6 for j.\n' | b'1\n' | b'Let u be 63/12 - (-3)/4. Let p(l) = -4*l**2 - 3*l + l**3 - 3*l**2 + 9*l + 4. Let z be p(u). Solve z*j - 2*k = 8, 2*j + 0*k = 2*k + 6 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -4*j + n = -15, 0 = 5*j - j - 4*n. Let u = -2 + -6. Let b = 13 + u. Solve -j*i = -0*h - 3*h + 22, -b*h - 5*i = 30 for h.\n' | b'-1\n' | b'Suppose -4*j + n = -15, 0 = 5*j - j - 4*n. Let u = -2 + -6. Let b = 13 + u. Solve -j*i = -0*h - 3*h + 22, -b*h - 5*i = 30 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m be ((-7100)/(-24)*3)/((-2)/(-4)). What is the second derivative of -m*p + 1760*p + p**3 + 0*p**2 + 0*p**2 wrt p?\n' | b'6*p\n' | b'Let m be ((-7100)/(-24)*3)/((-2)/(-4)). What is the second derivative of -m*p + 1760*p + p**3 + 0*p**2 + 0*p**2 wrt p?\n' | b'6*p\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, i: 4, u: 2, z: 3}. What is prob of picking 1 i and 3 z?\n' | b'2/105\n' | b'Four letters picked without replacement from {g: 1, i: 4, u: 2, z: 3}. What is prob of picking 1 i and 3 z?\n' | b'2/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, a: 9, f: 1, m: 3}. Give prob of sequence fa.\n' | b'9/182\n' | b'Two letters picked without replacement from {w: 1, a: 9, f: 1, m: 3}. Give prob of sequence fa.\n' | b'9/182\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 9, s: 9}. Give prob of picking 3 s and 1 r.\n' | b'21/85\n' | b'Four letters picked without replacement from {r: 9, s: 9}. Give prob of picking 3 s and 1 r.\n' | b'21/85\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eyeyheheeh. What is prob of sequence ehh?\n' | b'1/24\n' | b'Three letters picked without replacement from eyeyheheeh. What is prob of sequence ehh?\n' | b'1/24\n' | deepmind/math_dataset |
b'Simplify (a*a**(24/5)*a)/(a/a**(-27))*(a*a/a**(-9))**(-36) assuming a is positive.\n' | b'a**(-2086/5)\n' | b'Simplify (a*a**(24/5)*a)/(a/a**(-27))*(a*a/a**(-9))**(-36) assuming a is positive.\n' | b'a**(-2086/5)\n' | deepmind/math_dataset |
b'Let r = -20 + 17. Let k be (-4)/(13/r - -3). Solve -l = -0*l - 5*y - 20, 5*l + 10 = k*y for l.\n' | b'-5\n' | b'Let r = -20 + 17. Let k be (-4)/(13/r - -3). Solve -l = -0*l - 5*y - 20, 5*l + 10 = k*y for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddrggu. What is prob of sequence gur?\n' | b'1/60\n' | b'Three letters picked without replacement from ddrggu. What is prob of sequence gur?\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from cccccwccxcwcxc?\n' | b'1/91\n' | b'What is prob of sequence xx when two letters picked without replacement from cccccwccxcwcxc?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let t = 31 - 20. Let z = 14 - t. Suppose z*o = -2*o + 20. Solve 5*i = -2*y + o*y - 12, -y + 1 = 0 for i.\n' | b'-2\n' | b'Let t = 31 - 20. Let z = 14 - t. Suppose z*o = -2*o + 20. Solve 5*i = -2*y + o*y - 12, -y + 1 = 0 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, f: 1, d: 3, k: 1}. Give prob of sequence kdd.\n' | b'1/35\n' | b'Three letters picked without replacement from {s: 2, f: 1, d: 3, k: 1}. Give prob of sequence kdd.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let j be (-1)/(-2 - -6) + 51/12. Solve -6*r - 5*u - 6 = -j*r, -r + 12 = -5*u for r.\n' | b'2\n' | b'Let j be (-1)/(-2 - -6) + 51/12. Solve -6*r - 5*u - 6 = -j*r, -r + 12 = -5*u for r.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, x: 2}. Give prob of sequence xzxz.\n' | b'1/10\n' | b'Four letters picked without replacement from {z: 3, x: 2}. Give prob of sequence xzxz.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let o(p) = 6*p - 16. Let c be o(3). Let x(v) = -8*v + 1 - 7*v + 14*v + c*v. Determine x(5).\n' | b'6\n' | b'Let o(p) = 6*p - 16. Let c be o(3). Let x(v) = -8*v + 1 - 7*v + 14*v + c*v. Determine x(5).\n' | b'6\n' | deepmind/math_dataset |
b'Let d(l) be the third derivative of -l**4/8 + 2*l**2. Let m be d(-1). Find the first derivative of 2*a - 2 + 0*a + m wrt a.\n' | b'2\n' | b'Let d(l) be the third derivative of -l**4/8 + 2*l**2. Let m be d(-1). Find the first derivative of 2*a - 2 + 0*a + m wrt a.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(f) = -f**2 + 8*f + 3. Suppose -11*k - 28 = -105. What is i(k)?\n' | b'10\n' | b'Let i(f) = -f**2 + 8*f + 3. Suppose -11*k - 28 = -105. What is i(k)?\n' | b'10\n' | deepmind/math_dataset |
b'What is the third derivative of -35*j**4 + 209*j**3 + 206*j**3 - 625*j**3 + 3*j + 208*j**3 + 41*j**2 wrt j?\n' | b'-840*j - 12\n' | b'What is the third derivative of -35*j**4 + 209*j**3 + 206*j**3 - 625*j**3 + 3*j + 208*j**3 + 41*j**2 wrt j?\n' | b'-840*j - 12\n' | deepmind/math_dataset |
b'Let p(w) = w + 5. Suppose 4*v = 6*v + 12. Determine p(v).\n' | b'-1\n' | b'Let p(w) = w + 5. Suppose 4*v = 6*v + 12. Determine p(v).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sdsdwsd. Give prob of picking 1 s and 1 w.\n' | b'1/7\n' | b'Two letters picked without replacement from sdsdwsd. Give prob of picking 1 s and 1 w.\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, j: 1, t: 4, q: 6, l: 1}. Give prob of sequence jstl.\n' | b'1/4290\n' | b'Four letters picked without replacement from {s: 1, j: 1, t: 4, q: 6, l: 1}. Give prob of sequence jstl.\n' | b'1/4290\n' | deepmind/math_dataset |
b'Let z(s) = s**3 + 4*s**2 + 3*s. Let m be z(-2). Let k(o) = 2*o**2 + o**3 + 0*o**3 + m - 3*o - 5. Suppose 107*w + 19*w = -252. Calculate k(w).\n' | b'3\n' | b'Let z(s) = s**3 + 4*s**2 + 3*s. Let m be z(-2). Let k(o) = 2*o**2 + o**3 + 0*o**3 + m - 3*o - 5. Suppose 107*w + 19*w = -252. Calculate k(w).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence zzq when three letters picked without replacement from zvzszvzqqvvzvqzvzz?\n' | b'7/204\n' | b'What is prob of sequence zzq when three letters picked without replacement from zvzszvzqqvvzvqzvzz?\n' | b'7/204\n' | deepmind/math_dataset |
b'Let u = -239 + 258. Suppose 23*l = u*l + 48. Suppose 0*w + 2*z - 10 = -2*w, w + 3*z = 9. Solve w*c + l = c + 2*b, 9 = -2*c - b for c.\n' | b'-5\n' | b'Let u = -239 + 258. Suppose 23*l = u*l + 48. Suppose 0*w + 2*z - 10 = -2*w, w + 3*z = 9. Solve w*c + l = c + 2*b, 9 = -2*c - b for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(z) = z**2 - 30*z + 193. Let t be l(9). Solve 35 = -5*m + t*a + 6, 4*m = -2*a - 18 for m.\n' | b'-5\n' | b'Let l(z) = z**2 - 30*z + 193. Let t be l(9). Solve 35 = -5*m + t*a + 6, 4*m = -2*a - 18 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, m: 5, x: 8, b: 2, u: 2, c: 2}. Give prob of picking 1 c and 2 m.\n' | b'1/57\n' | b'Three letters picked without replacement from {f: 1, m: 5, x: 8, b: 2, u: 2, c: 2}. Give prob of picking 1 c and 2 m.\n' | b'1/57\n' | deepmind/math_dataset |
b'Differentiate -p + p + 8*p**2 + 18 + 78 wrt p.\n' | b'16*p\n' | b'Differentiate -p + p + 8*p**2 + 18 + 78 wrt p.\n' | b'16*p\n' | deepmind/math_dataset |
b'Suppose 10 = -4*n + 2. Let s(b) = -b - 4. What is s(n)?\n' | b'-2\n' | b'Suppose 10 = -4*n + 2. Let s(b) = -b - 4. What is s(n)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(x) = -x**3 + x**2. Let w(v) = 8*v**4 + 3*v**3 - 3*v**2 + 15. Let c(b) = 3*d(b) + w(b). What is the first derivative of c(q) wrt q?\n' | b'32*q**3\n' | b'Let d(x) = -x**3 + x**2. Let w(v) = 8*v**4 + 3*v**3 - 3*v**2 + 15. Let c(b) = 3*d(b) + w(b). What is the first derivative of c(q) wrt q?\n' | b'32*q**3\n' | deepmind/math_dataset |
b'Let p(s) = -s - 3. Let u be p(-5). Let g(v) be the third derivative of v**6/120 - v**4/24 + v**3/6 - v**2. What is g(u)?\n' | b'7\n' | b'Let p(s) = -s - 3. Let u be p(-5). Let g(v) be the third derivative of v**6/120 - v**4/24 + v**3/6 - v**2. What is g(u)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s = -258 - -268. Suppose -4 = 6*u - s. Solve -b - u = w, w + 5*b + 24 = 3 for w.\n' | b'4\n' | b'Let s = -258 - -268. Suppose -4 = 6*u - s. Solve -b - u = w, w + 5*b + 24 = 3 for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((((((x/x**(-2))/x*x)/x*x*x)**(-1/87))**(-40))**48)**(-37) assuming x is positive.\n' | b'x**(-94720/29)\n' | b'Simplify ((((((x/x**(-2))/x*x)/x*x*x)**(-1/87))**(-40))**48)**(-37) assuming x is positive.\n' | b'x**(-94720/29)\n' | deepmind/math_dataset |
b'Simplify (f**(1/3)*f*f/(f*f**(1/6))*f)**(2/9) assuming f is positive.\n' | b'f**(13/27)\n' | b'Simplify (f**(1/3)*f*f/(f*f**(1/6))*f)**(2/9) assuming f is positive.\n' | b'f**(13/27)\n' | deepmind/math_dataset |
b'Simplify (j*(j/(j/j**(5/2)))/j)**(1/5)/((j/j**(-2/5))/j)**36 assuming j is positive.\n' | b'j**(-139/10)\n' | b'Simplify (j*(j/(j/j**(5/2)))/j)**(1/5)/((j/j**(-2/5))/j)**36 assuming j is positive.\n' | b'j**(-139/10)\n' | deepmind/math_dataset |
b'Find the first derivative of -138*p - 86*p - 74 - 84*p wrt p.\n' | b'-308\n' | b'Find the first derivative of -138*p - 86*p - 74 - 84*p wrt p.\n' | b'-308\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, t: 9}. What is prob of picking 2 w and 2 t?\n' | b'6/55\n' | b'Four letters picked without replacement from {w: 2, t: 9}. What is prob of picking 2 w and 2 t?\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify ((((c*c**(7/5))**(-23))**(-5/6))**(2/39))**49 assuming c is positive.\n' | b'c**(4508/39)\n' | b'Simplify ((((c*c**(7/5))**(-23))**(-5/6))**(2/39))**49 assuming c is positive.\n' | b'c**(4508/39)\n' | deepmind/math_dataset |
b'Simplify ((f/(f**(-1/5)/f)*f/((f*(f/(f**8*f)*f*f)/f)/f))/(f**(-2/7))**(7/4))/((f**(-1/5)*f/(f/(f/f**(-1/5))))/(f**2)**37) assuming f is positive.\n' | b'f**(837/10)\n' | b'Simplify ((f/(f**(-1/5)/f)*f/((f*(f/(f**8*f)*f*f)/f)/f))/(f**(-2/7))**(7/4))/((f**(-1/5)*f/(f/(f/f**(-1/5))))/(f**2)**37) assuming f is positive.\n' | b'f**(837/10)\n' | deepmind/math_dataset |
b'Let w(p) be the second derivative of -4023*p**5/10 - 1625*p**3/6 + 2*p - 176. Find the second derivative of w(t) wrt t.\n' | b'-48276*t\n' | b'Let w(p) be the second derivative of -4023*p**5/10 - 1625*p**3/6 + 2*p - 176. Find the second derivative of w(t) wrt t.\n' | b'-48276*t\n' | deepmind/math_dataset |
b'Suppose 4*n - 15 - 1 = 0. Let s(d) be the second derivative of -d**3/2 + 13*d**2/2 + 4*d. Let t be s(4). Solve n*a - 5*a - i = t, -5*a + 22 = -4*i for a.\n' | b'2\n' | b'Suppose 4*n - 15 - 1 = 0. Let s(d) be the second derivative of -d**3/2 + 13*d**2/2 + 4*d. Let t be s(4). Solve n*a - 5*a - i = t, -5*a + 22 = -4*i for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uvugggjuglljjlhlvugj. What is prob of picking 2 v?\n' | b'1/190\n' | b'Two letters picked without replacement from uvugggjuglljjlhlvugj. What is prob of picking 2 v?\n' | b'1/190\n' | deepmind/math_dataset |
b'Calculate prob of sequence yqjv when four letters picked without replacement from zyqzvyvj.\n' | b'1/420\n' | b'Calculate prob of sequence yqjv when four letters picked without replacement from zyqzvyvj.\n' | b'1/420\n' | deepmind/math_dataset |
b'Simplify ((m*m/(m/m**1)*m)**(-11/8)*(m**0)**33)/(m**(1/3)*m*m/m**2)**(-6) assuming m is positive.\n' | b'm**(-17/8)\n' | b'Simplify ((m*m/(m/m**1)*m)**(-11/8)*(m**0)**33)/(m**(1/3)*m*m/m**2)**(-6) assuming m is positive.\n' | b'm**(-17/8)\n' | deepmind/math_dataset |
b'Let q = -166 - -213. Find the third derivative of 6*m**2 + q*m**4 - 2300*m + 8 + 2300*m wrt m.\n' | b'1128*m\n' | b'Let q = -166 - -213. Find the third derivative of 6*m**2 + q*m**4 - 2300*m + 8 + 2300*m wrt m.\n' | b'1128*m\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-5)/m*m**11)/(m/((m**(3/7)*m)/m)*m/m**(-8/13)))**(2/33) assuming m is positive.\n' | b'm**(694/3003)\n' | b'Simplify ((m*m**(-5)/m*m**11)/(m/((m**(3/7)*m)/m)*m/m**(-8/13)))**(2/33) assuming m is positive.\n' | b'm**(694/3003)\n' | deepmind/math_dataset |
b'Let t = 36 - -2. Suppose 2*g - 32 = 2*k - 6*k, -3*g - k + 33 = 0. Suppose 30 = -4*a + g*a. Solve 5*x + t - 11 = 2*m, -5*x = a*m + 20 for m.\n' | b'1\n' | b'Let t = 36 - -2. Suppose 2*g - 32 = 2*k - 6*k, -3*g - k + 33 = 0. Suppose 30 = -4*a + g*a. Solve 5*x + t - 11 = 2*m, -5*x = a*m + 20 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {h: 5, j: 1, g: 2, p: 1}.\n' | b'1/36\n' | b'Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {h: 5, j: 1, g: 2, p: 1}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (n**(-3)/(n/(n*n**9*n)))**(-32) assuming n is positive.\n' | b'n**(-224)\n' | b'Simplify (n**(-3)/(n/(n*n**9*n)))**(-32) assuming n is positive.\n' | b'n**(-224)\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from {u: 7, l: 1}?\n' | b'3/4\n' | b'What is prob of picking 2 u when two letters picked without replacement from {u: 7, l: 1}?\n' | b'3/4\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-1/8))/(g/(g*g**3*g)))/((g**0*g)/g)**2 assuming g is positive.\n' | b'g**(41/8)\n' | b'Simplify ((g/g**(-1/8))/(g/(g*g**3*g)))/((g**0*g)/g)**2 assuming g is positive.\n' | b'g**(41/8)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from jsssgjssfgjgvvgjjsjs.\n' | b'3/38\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from jsssgjssfgjgvvgjjsjs.\n' | b'3/38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 1, s: 1, p: 5, q: 3}. Give prob of picking 1 a, 1 s, and 2 q.\n' | b'1/70\n' | b'Four letters picked without replacement from {a: 1, s: 1, p: 5, q: 3}. Give prob of picking 1 a, 1 s, and 2 q.\n' | b'1/70\n' | deepmind/math_dataset |
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