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'Simplify ((p**(-1/10)*p)/(p/(p*((p/(p*p**(-2/5)))/p)/p)*p))**(5/9)/((p**(3/4)/(p**(-1/2)*p))/(p**0)**23) assuming p is positive.\n' | b'p**(-43/36)\n' | b'Simplify ((p**(-1/10)*p)/(p/(p*((p/(p*p**(-2/5)))/p)/p)*p))**(5/9)/((p**(3/4)/(p**(-1/2)*p))/(p**0)**23) assuming p is positive.\n' | b'p**(-43/36)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 2 v when three letters picked without replacement from vebfttbufbbvvvfuvv.\n' | b'5/272\n' | b'Calculate prob of picking 1 e and 2 v when three letters picked without replacement from vebfttbufbbvvvfuvv.\n' | b'5/272\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {c: 3, h: 1, s: 5, e: 7}.\n' | b'3/56\n' | b'Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {c: 3, h: 1, s: 5, e: 7}.\n' | b'3/56\n' | deepmind/math_dataset |
b'Let a(l) = -26*l - 10. Let b be a(3). Let v = -86 - b. Let t(u) = -u**3 + 7*u**2 - 7*u + 4. Let r be t(v). Solve -2*d - 6 = -d - m, -5*d - 3*m + r = 0 for d.\n' | b'-1\n' | b'Let a(l) = -26*l - 10. Let b be a(3). Let v = -86 - b. Let t(u) = -u**3 + 7*u**2 - 7*u + 4. Let r be t(v). Solve -2*d - 6 = -d - m, -5*d - 3*m + r = 0 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(a) be the first derivative of 12*a**5/5 + 6*a**2 + 9. What is the second derivative of d(n) wrt n?\n' | b'144*n**2\n' | b'Let d(a) be the first derivative of 12*a**5/5 + 6*a**2 + 9. What is the second derivative of d(n) wrt n?\n' | b'144*n**2\n' | deepmind/math_dataset |
b'Suppose -5*t = 3*h - 340, t + 2*h + 120 = 3*t. Suppose 3*a = -m + 36, -5*a + 3*m - 5 = -t. Solve -5*j - 1 + a = c, 2*j - 10 = c for c.\n' | b'-4\n' | b'Suppose -5*t = 3*h - 340, t + 2*h + 120 = 3*t. Suppose 3*a = -m + 36, -5*a + 3*m - 5 = -t. Solve -5*j - 1 + a = c, 2*j - 10 = c for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(u) = -102 + 49 + u + 38. Give f(8).\n' | b'-7\n' | b'Let f(u) = -102 + 49 + u + 38. Give f(8).\n' | b'-7\n' | deepmind/math_dataset |
b'What is the derivative of 9*a**3 - 2*a + 40*a**3 + 189 - 262 wrt a?\n' | b'147*a**2 - 2\n' | b'What is the derivative of 9*a**3 - 2*a + 40*a**3 + 189 - 262 wrt a?\n' | b'147*a**2 - 2\n' | deepmind/math_dataset |
b'Simplify (w**(-13))**(-6)/((w*w*w*w/(w**(2/15)/w)*w)/(w**(-6/13)*w)) assuming w is positive.\n' | b'w**(14171/195)\n' | b'Simplify (w**(-13))**(-6)/((w*w*w*w/(w**(2/15)/w)*w)/(w**(-6/13)*w)) assuming w is positive.\n' | b'w**(14171/195)\n' | deepmind/math_dataset |
b'Suppose -2*j = -3*j + 8. Suppose -5*o + 15 = 4*r - 9, -4*r + 3*o = j. Solve -4*d + 0*d - p = -5, 4*p = 5*d - r for d.\n' | b'1\n' | b'Suppose -2*j = -3*j + 8. Suppose -5*o + 15 = 4*r - 9, -4*r + 3*o = j. Solve -4*d + 0*d - p = -5, 4*p = 5*d - r for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(l) = -7*l**3 + l**2. Suppose -3*y - 335 = 163. Let v = y + 165. Calculate s(v).\n' | b'8\n' | b'Let s(l) = -7*l**3 + l**2. Suppose -3*y - 335 = 163. Let v = y + 165. Calculate s(v).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((l/(l/(l/l**(2/3)*l*l)))**40/(((l/l**(-1/17))/l)/l**13))**14 assuming l is positive.\n' | b'l**(75880/51)\n' | b'Simplify ((l/(l/(l/l**(2/3)*l*l)))**40/(((l/l**(-1/17))/l)/l**13))**14 assuming l is positive.\n' | b'l**(75880/51)\n' | deepmind/math_dataset |
b'Suppose -n = r + 3*r + 63, 18 = -n + 5*r. Let d = n + 60. Find the third derivative of d*v**3 + 54*v**2 - 60*v**2 + 0*v**3 wrt v.\n' | b'102\n' | b'Suppose -n = r + 3*r + 63, 18 = -n + 5*r. Let d = n + 60. Find the third derivative of d*v**3 + 54*v**2 - 60*v**2 + 0*v**3 wrt v.\n' | b'102\n' | deepmind/math_dataset |
b'Suppose -4*c + 0*c = 0. Let f(m) be the first derivative of -3 - 3*m + 1/2*m**2. What is f(c)?\n' | b'-3\n' | b'Suppose -4*c + 0*c = 0. Let f(m) be the first derivative of -3 - 3*m + 1/2*m**2. What is f(c)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(u) = 22*u - 9. Let i = 5 + -8. Calculate a(i).\n' | b'-75\n' | b'Let a(u) = 22*u - 9. Let i = 5 + -8. Calculate a(i).\n' | b'-75\n' | deepmind/math_dataset |
b'Let s = 519 + -335. Let u(x) = s*x - 80*x - 68*x + 20. Let p(w) = -37*w - 21. Let z(y) = -3*p(y) - 4*u(y). Differentiate z(t) with respect to t.\n' | b'-33\n' | b'Let s = 519 + -335. Let u(x) = s*x - 80*x - 68*x + 20. Let p(w) = -37*w - 21. Let z(y) = -3*p(y) - 4*u(y). Differentiate z(t) with respect to t.\n' | b'-33\n' | deepmind/math_dataset |
b'Let r(q) = 3*q**3 + 8*q**2 + 13*q + 4. Let x(d) = 2*d**3 + 8*d**2 + 12*d + 4. Let p(n) = 3*r(n) - 4*x(n). What is p(9)?\n' | b'-4\n' | b'Let r(q) = 3*q**3 + 8*q**2 + 13*q + 4. Let x(d) = 2*d**3 + 8*d**2 + 12*d + 4. Let p(n) = 3*r(n) - 4*x(n). What is p(9)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let h be -3*(2/(-3) + -1) - (-12)/(-6). Solve 0 = 25*j - 20*j - h*q + 7, 3*j + 2*q + 8 = 0 for j.\n' | b'-2\n' | b'Let h be -3*(2/(-3) + -1) - (-12)/(-6). Solve 0 = 25*j - 20*j - h*q + 7, 3*j + 2*q + 8 = 0 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jrdwirijdhdhiihhiih. Give prob of sequence jiw.\n' | b'2/969\n' | b'Three letters picked without replacement from jrdwirijdhdhiihhiih. Give prob of sequence jiw.\n' | b'2/969\n' | deepmind/math_dataset |
b'Suppose -6*o - 7 - 5 = 0. Let l be (-1107)/18*o/3. Solve -5*x + 0*x = -4*h - l, 4*h + 4*x - 4 = 0 for h.\n' | b'-4\n' | b'Suppose -6*o - 7 - 5 = 0. Let l be (-1107)/18*o/3. Solve -5*x + 0*x = -4*h - l, 4*h + 4*x - 4 = 0 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((w**(-1))**(4/5))**(1/4)/((w**(-1/3)*w**(-6))/((w/(w*w*w**3*w*w))/(w**(-2/5)/w*w))) assuming w is positive.\n' | b'w**(8/15)\n' | b'Simplify ((w**(-1))**(4/5))**(1/4)/((w**(-1/3)*w**(-6))/((w/(w*w*w**3*w*w))/(w**(-2/5)/w*w))) assuming w is positive.\n' | b'w**(8/15)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qrqrqrr. What is prob of picking 3 q and 1 r?\n' | b'4/35\n' | b'Four letters picked without replacement from qrqrqrr. What is prob of picking 3 q and 1 r?\n' | b'4/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbyvxbrbbbbryvb. What is prob of sequence bvy?\n' | b'16/1365\n' | b'Three letters picked without replacement from bbyvxbrbbbbryvb. What is prob of sequence bvy?\n' | b'16/1365\n' | deepmind/math_dataset |
b'Let a(l) be the first derivative of -5/3*l**3 - 4*l + 1/4*l**4 - 1/2*l**2 + 3. Calculate a(5).\n' | b'-9\n' | b'Let a(l) be the first derivative of -5/3*l**3 - 4*l + 1/4*l**4 - 1/2*l**2 + 3. Calculate a(5).\n' | b'-9\n' | deepmind/math_dataset |
b'Let w(r) = -r**3 + 6*r**2 - 4*r - 6. Let u be w(5). Let l = 3 - u. Let x(y) = -l*y + 5 + 8*y - 3*y + 0*y. Determine x(-6).\n' | b'-1\n' | b'Let w(r) = -r**3 + 6*r**2 - 4*r - 6. Let u be w(5). Let l = 3 - u. Let x(y) = -l*y + 5 + 8*y - 3*y + 0*y. Determine x(-6).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*p = 31 - 111. Differentiate 4 + 0*t + 18*t - p wrt t.\n' | b'18\n' | b'Suppose -5*p = 31 - 111. Differentiate 4 + 0*t + 18*t - p wrt t.\n' | b'18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, f: 5, u: 3, d: 1, k: 1, l: 1}. Give prob of sequence duf.\n' | b'5/728\n' | b'Three letters picked without replacement from {n: 3, f: 5, u: 3, d: 1, k: 1, l: 1}. Give prob of sequence duf.\n' | b'5/728\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 10, e: 2}. What is prob of sequence eu?\n' | b'5/33\n' | b'Two letters picked without replacement from {u: 10, e: 2}. What is prob of sequence eu?\n' | b'5/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 8, d: 2}. Give prob of picking 3 q.\n' | b'7/15\n' | b'Three letters picked without replacement from {q: 8, d: 2}. Give prob of picking 3 q.\n' | b'7/15\n' | deepmind/math_dataset |
b'Suppose 4*w = -4, 5 = n - 4*w - w. Suppose -4*i = -n*i. Suppose 0 = -3*r + o + 7, -r - 3 = -0*r + 5*o. Solve i = -5*z - k, 4*z + 0*z = r*k for z.\n' | b'0\n' | b'Suppose 4*w = -4, 5 = n - 4*w - w. Suppose -4*i = -n*i. Suppose 0 = -3*r + o + 7, -r - 3 = -0*r + 5*o. Solve i = -5*z - k, 4*z + 0*z = r*k for z.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -9 = -3*p, 67*s - 69*s + 2*p + 6 = 0. Solve -2*d - 3*n - 6 = 0, -3*d + 2*n = -d + s for d.\n' | b'-3\n' | b'Suppose -9 = -3*p, 67*s - 69*s + 2*p + 6 = 0. Solve -2*d - 3*n - 6 = 0, -3*d + 2*n = -d + s for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (s**14/(s**(-10)*s))**(7/3) assuming s is positive.\n' | b's**(161/3)\n' | b'Simplify (s**14/(s**(-10)*s))**(7/3) assuming s is positive.\n' | b's**(161/3)\n' | deepmind/math_dataset |
b'Let h(p) be the second derivative of 4*p**6/15 - 191*p**5/20 - p**3/6 - 1143*p**2/2 - 9*p + 19. What is the second derivative of h(l) wrt l?\n' | b'96*l**2 - 1146*l\n' | b'Let h(p) be the second derivative of 4*p**6/15 - 191*p**5/20 - p**3/6 - 1143*p**2/2 - 9*p + 19. What is the second derivative of h(l) wrt l?\n' | b'96*l**2 - 1146*l\n' | deepmind/math_dataset |
b'Let w(y) = y**3 - 3*y**2 + y + 2. Let u be w(2). Solve 4*l + 14 = -c, -2*l + u*c + 2*c = 2 for l.\n' | b'-3\n' | b'Let w(y) = y**3 - 3*y**2 + y + 2. Let u be w(2). Solve 4*l + 14 = -c, -2*l + u*c + 2*c = 2 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y = 144 + -137. Suppose -y*l = -2*l. Suppose 2 + 2 = k. Solve 0 = -4*x + 2*i - 24 + 2, k*x - 5*i + 37 = l for x.\n' | b'-3\n' | b'Let y = 144 + -137. Suppose -y*l = -2*l. Suppose 2 + 2 = k. Solve 0 = -4*x + 2*i - 24 + 2, k*x - 5*i + 37 = l for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Let g(p) = -3*p**2 - 5*p + 12. Let d(u) = -10*u**2 - 14*u + 37. Suppose -3*b + 5*b - 14 = 0. Let q(v) = b*g(v) - 2*d(v). Calculate q(-8).\n' | b'2\n' | b'Let g(p) = -3*p**2 - 5*p + 12. Let d(u) = -10*u**2 - 14*u + 37. Suppose -3*b + 5*b - 14 = 0. Let q(v) = b*g(v) - 2*d(v). Calculate q(-8).\n' | b'2\n' | deepmind/math_dataset |
b'Let a(o) be the third derivative of 2573*o**4/24 - 1777*o**3/3 + 2*o**2 + 129*o + 6. What is the first derivative of a(d) wrt d?\n' | b'2573\n' | b'Let a(o) be the third derivative of 2573*o**4/24 - 1777*o**3/3 + 2*o**2 + 129*o + 6. What is the first derivative of a(d) wrt d?\n' | b'2573\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 3 y when four letters picked without replacement from {y: 5, z: 1, g: 7}.\n' | b'2/143\n' | b'Calculate prob of picking 1 z and 3 y when four letters picked without replacement from {y: 5, z: 1, g: 7}.\n' | b'2/143\n' | deepmind/math_dataset |
b'Simplify (x**(1/12))**(-24) assuming x is positive.\n' | b'x**(-2)\n' | b'Simplify (x**(1/12))**(-24) assuming x is positive.\n' | b'x**(-2)\n' | deepmind/math_dataset |
b'What is prob of sequence xby when three letters picked without replacement from yoyovyyvoybyx?\n' | b'1/286\n' | b'What is prob of sequence xby when three letters picked without replacement from yoyovyyvoybyx?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let o(b) = 2803*b**2 + 38*b - 13. Let s be o(-6). Find the first derivative of -87 + s*c**3 - 100667*c**3 - 121*c**4 wrt c.\n' | b'-484*c**3\n' | b'Let o(b) = 2803*b**2 + 38*b - 13. Let s be o(-6). Find the first derivative of -87 + s*c**3 - 100667*c**3 - 121*c**4 wrt c.\n' | b'-484*c**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g and 1 i when four letters picked without replacement from ggigiii.\n' | b'4/35\n' | b'Calculate prob of picking 3 g and 1 i when four letters picked without replacement from ggigiii.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let w(d) be the first derivative of 1049*d**4/4 + 85*d**3/3 + 10*d + 3742. What is the third derivative of w(a) wrt a?\n' | b'6294\n' | b'Let w(d) be the first derivative of 1049*d**4/4 + 85*d**3/3 + 10*d + 3742. What is the third derivative of w(a) wrt a?\n' | b'6294\n' | deepmind/math_dataset |
b'Let d = 1002 - 1000. Suppose 0 = 3*u + 5*r - 4, 4*u - 3*r - 12 = u. Solve d*f + 3 = -5*h, -u*h + 7 = -f - 0*f for h.\n' | b'1\n' | b'Let d = 1002 - 1000. Suppose 0 = 3*u + 5*r - 4, 4*u - 3*r - 12 = u. Solve d*f + 3 = -5*h, -u*h + 7 = -f - 0*f for h.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence qqo when three letters picked without replacement from {k: 1, o: 4, j: 3, q: 2}?\n' | b'1/90\n' | b'What is prob of sequence qqo when three letters picked without replacement from {k: 1, o: 4, j: 3, q: 2}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Suppose 3*s = 3*x - 58 - 26, -26 = -x - s. Suppose x = 4*q + 5*i, -2*q + q = 2*i - 9. Differentiate -2*y**3 + 3*y**q + 2 - 4 wrt y.\n' | b'3*y**2\n' | b'Suppose 3*s = 3*x - 58 - 26, -26 = -x - s. Suppose x = 4*q + 5*i, -2*q + q = 2*i - 9. Differentiate -2*y**3 + 3*y**q + 2 - 4 wrt y.\n' | b'3*y**2\n' | deepmind/math_dataset |
b'Simplify (r**0)**33*((r**8/r*r*r)/r)/(r/(r*r/((r/((r**8/r)/r))/r)))*(r/r**(1/3))**(5/7)*r**(-2/5)/r**(-2/5) assuming r is positive.\n' | b'r**(325/21)\n' | b'Simplify (r**0)**33*((r**8/r*r*r)/r)/(r/(r*r/((r/((r**8/r)/r))/r)))*(r/r**(1/3))**(5/7)*r**(-2/5)/r**(-2/5) assuming r is positive.\n' | b'r**(325/21)\n' | deepmind/math_dataset |
b'Let c(d) = 1003*d**2 - 715*d + 4. Let i(v) = -2006*v**2 + 1433*v - 7. Let t(f) = 7*c(f) + 4*i(f). Find the second derivative of t(x) wrt x.\n' | b'-2006\n' | b'Let c(d) = 1003*d**2 - 715*d + 4. Let i(v) = -2006*v**2 + 1433*v - 7. Let t(f) = 7*c(f) + 4*i(f). Find the second derivative of t(x) wrt x.\n' | b'-2006\n' | deepmind/math_dataset |
b'Let r be (-161)/(-28) + 9/(-12). Suppose -2*w + 3*w - 6 = -s, 4*w + 3 = r*s. Let c(t) = 3 - 6 + 5 + t**2 + s*t. Determine c(-4).\n' | b'6\n' | b'Let r be (-161)/(-28) + 9/(-12). Suppose -2*w + 3*w - 6 = -s, 4*w + 3 = r*s. Let c(t) = 3 - 6 + 5 + t**2 + s*t. Determine c(-4).\n' | b'6\n' | deepmind/math_dataset |
b'Find the third derivative of -182*h + 215*h**3 - 6*h**2 - 171*h + 382*h + 303*h**3 wrt h.\n' | b'3108\n' | b'Find the third derivative of -182*h + 215*h**3 - 6*h**2 - 171*h + 382*h + 303*h**3 wrt h.\n' | b'3108\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ujv. Give prob of sequence vj.\n' | b'1/6\n' | b'Two letters picked without replacement from ujv. Give prob of sequence vj.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let q(i) = i - 1. Suppose -9 = -g - 6. Let n(x) = -3*x**3 - x**2 - 8*x + 8. Let h(m) = g*n(m) + 24*q(m). What is the third derivative of h(j) wrt j?\n' | b'-54\n' | b'Let q(i) = i - 1. Suppose -9 = -g - 6. Let n(x) = -3*x**3 - x**2 - 8*x + 8. Let h(m) = g*n(m) + 24*q(m). What is the third derivative of h(j) wrt j?\n' | b'-54\n' | deepmind/math_dataset |
b'Let p(c) be the first derivative of -c**7/420 - c**5/40 - 4*c**3/3 + 2. Let d(r) be the third derivative of p(r). What is the second derivative of d(b) wrt b?\n' | b'-12*b\n' | b'Let p(c) be the first derivative of -c**7/420 - c**5/40 - 4*c**3/3 + 2. Let d(r) be the third derivative of p(r). What is the second derivative of d(b) wrt b?\n' | b'-12*b\n' | deepmind/math_dataset |
b'Let h be ((-5)/3)/(180/(-216)). Solve 4*w - 18 = h*k, -4*k - w = -k - 8 for k.\n' | b'1\n' | b'Let h be ((-5)/3)/(180/(-216)). Solve 4*w - 18 = h*k, -4*k - w = -k - 8 for k.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 q when two letters picked without replacement from {e: 5, q: 1, t: 2, b: 2, k: 1, p: 2}?\n' | b'1/39\n' | b'What is prob of picking 1 p and 1 q when two letters picked without replacement from {e: 5, q: 1, t: 2, b: 2, k: 1, p: 2}?\n' | b'1/39\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 1 r, 1 x, and 1 d when four letters picked without replacement from {r: 1, k: 1, m: 1, x: 1, d: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 k, 1 r, 1 x, and 1 d when four letters picked without replacement from {r: 1, k: 1, m: 1, x: 1, d: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ebbeeeeeebebeeebbeb. Give prob of picking 4 b.\n' | b'35/3876\n' | b'Four letters picked without replacement from ebbeeeeeebebeeebbeb. Give prob of picking 4 b.\n' | b'35/3876\n' | deepmind/math_dataset |
b'Simplify (x**20)**43 assuming x is positive.\n' | b'x**860\n' | b'Simplify (x**20)**43 assuming x is positive.\n' | b'x**860\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, b: 1, m: 5, d: 1, j: 1}. What is prob of sequence mdb?\n' | b'1/144\n' | b'Three letters picked without replacement from {f: 2, b: 1, m: 5, d: 1, j: 1}. What is prob of sequence mdb?\n' | b'1/144\n' | deepmind/math_dataset |
b'Let c = -7 - -10. Solve -21 = c*i + 5*b, -i = -0*i - 4*b - 10 for i.\n' | b'-2\n' | b'Let c = -7 - -10. Solve -21 = c*i + 5*b, -i = -0*i - 4*b - 10 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -4*z = 13 + 3. Let p be 1/z - (-4)/16. Let k be (3/2)/((-18)/(-24)). Solve p = 2*b - 7*f + 4*f + 12, -k*b - f = 4 for b.\n' | b'-3\n' | b'Suppose -4*z = 13 + 3. Let p be 1/z - (-4)/16. Let k be (3/2)/((-18)/(-24)). Solve p = 2*b - 7*f + 4*f + 12, -k*b - f = 4 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(f) = -5*f - 4. Let x(l) = 11*l + 7. Let m(n) = 7*p(n) + 3*x(n). Let t be m(-6). What is the derivative of -3*v**2 - 7 + t + v**2 wrt v?\n' | b'-4*v\n' | b'Let p(f) = -5*f - 4. Let x(l) = 11*l + 7. Let m(n) = 7*p(n) + 3*x(n). Let t be m(-6). What is the derivative of -3*v**2 - 7 + t + v**2 wrt v?\n' | b'-4*v\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttga when four letters picked without replacement from {t: 3, a: 2, x: 1, g: 1, n: 3}.\n' | b'1/420\n' | b'Calculate prob of sequence ttga when four letters picked without replacement from {t: 3, a: 2, x: 1, g: 1, n: 3}.\n' | b'1/420\n' | deepmind/math_dataset |
b'What is prob of sequence pktf when four letters picked without replacement from {t: 1, k: 1, p: 1, f: 1, r: 1}?\n' | b'1/120\n' | b'What is prob of sequence pktf when four letters picked without replacement from {t: 1, k: 1, p: 1, f: 1, r: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify (g**(-12)/g)**(-1/16)*g**(9/5)/g*g**25 assuming g is positive.\n' | b'g**(2129/80)\n' | b'Simplify (g**(-12)/g)**(-1/16)*g**(9/5)/g*g**25 assuming g is positive.\n' | b'g**(2129/80)\n' | deepmind/math_dataset |
b'What is prob of sequence dudt when four letters picked without replacement from {u: 2, d: 2, t: 2, s: 1, f: 1}?\n' | b'1/210\n' | b'What is prob of sequence dudt when four letters picked without replacement from {u: 2, d: 2, t: 2, s: 1, f: 1}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let v be (-319)/(-5) - 2/(-10). What is the second derivative of 3*w - v*w**2 + 8*w + 179 - 181 wrt w?\n' | b'-128\n' | b'Let v be (-319)/(-5) - 2/(-10). What is the second derivative of 3*w - v*w**2 + 8*w + 179 - 181 wrt w?\n' | b'-128\n' | deepmind/math_dataset |
b'Simplify s**14/s*s*s*s**(-2/17)/s*(s/(s*s**(-3)))**41 assuming s is positive.\n' | b's**(2327/17)\n' | b'Simplify s**14/s*s*s*s**(-2/17)/s*(s/(s*s**(-3)))**41 assuming s is positive.\n' | b's**(2327/17)\n' | deepmind/math_dataset |
b'Simplify (((v**(-1)*v*v)/v)/v*v**(-2))**21*(v**(-4)*v**5/v)/(v**(-1/6)/(v**3/v)) assuming v is positive.\n' | b'v**(-365/6)\n' | b'Simplify (((v**(-1)*v*v)/v)/v*v**(-2))**21*(v**(-4)*v**5/v)/(v**(-1/6)/(v**3/v)) assuming v is positive.\n' | b'v**(-365/6)\n' | deepmind/math_dataset |
b'Let a be 26*(5 - 8/1). Let h be (-507)/a - 3/2. Solve -4*y + h*r = -13, -4*r - 3 = -2*y - 5*r for y.\n' | b'2\n' | b'Let a be 26*(5 - 8/1). Let h be (-507)/a - 3/2. Solve -4*y + h*r = -13, -4*r - 3 = -2*y - 5*r for y.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*h + 3*x - 6 = 0, -2*h + 0 - 14 = -4*x. Solve -2*d - 10 = 4*n, n - h*n = 2*d + 6 for d.\n' | b'-1\n' | b'Suppose -3*h + 3*x - 6 = 0, -2*h + 0 - 14 = -4*x. Solve -2*d - 10 = 4*n, n - h*n = 2*d + 6 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 177*r - 184*r = 910. Let n = r - -130. Solve n = 5*i + 2*k - 15 - 6, -4*i - k + 15 = 0 for i.\n' | b'3\n' | b'Suppose 177*r - 184*r = 910. Let n = r - -130. Solve n = 5*i + 2*k - 15 - 6, -4*i - k + 15 = 0 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjjj when four letters picked without replacement from gjjqq.\n' | b'0\n' | b'Calculate prob of sequence jjjj when four letters picked without replacement from gjjqq.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, k: 4, r: 2, u: 2, x: 1}. What is prob of picking 1 u and 2 r?\n' | b'1/110\n' | b'Three letters picked without replacement from {f: 3, k: 4, r: 2, u: 2, x: 1}. What is prob of picking 1 u and 2 r?\n' | b'1/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wxwwwxw. What is prob of sequence xx?\n' | b'1/21\n' | b'Two letters picked without replacement from wxwwwxw. What is prob of sequence xx?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let t = 4 + -4. Suppose 2*n + 6 - 22 = t. Differentiate -m - 4*m + n*m - 2 - 4*m with respect to m.\n' | b'-1\n' | b'Let t = 4 + -4. Suppose 2*n + 6 - 22 = t. Differentiate -m - 4*m + n*m - 2 - 4*m with respect to m.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 3*x - 4*t = -0*t + 24, -2*x = -3*t - 17. Suppose x*o = 26 + 14. Find the third derivative of -8*l**3 - 4*l**3 + o*l**2 + l**3 + l**3 wrt l.\n' | b'-60\n' | b'Suppose 3*x - 4*t = -0*t + 24, -2*x = -3*t - 17. Suppose x*o = 26 + 14. Find the third derivative of -8*l**3 - 4*l**3 + o*l**2 + l**3 + l**3 wrt l.\n' | b'-60\n' | deepmind/math_dataset |
b'Let n(o) be the first derivative of -675*o**4/2 + 2267*o - 395. Differentiate n(x) wrt x.\n' | b'-4050*x**2\n' | b'Let n(o) be the first derivative of -675*o**4/2 + 2267*o - 395. Differentiate n(x) wrt x.\n' | b'-4050*x**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, m: 4, y: 5, z: 6}.\n' | b'1/19\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, m: 4, y: 5, z: 6}.\n' | b'1/19\n' | deepmind/math_dataset |
b'Suppose -3*n + 18 = -4*x, n - x - 5 = -0*x. Let c be ((-11)/(-2) - n)*(-1 - -3). Suppose c*t - 80 = -t. Solve -3*m + 0*m + 2*p = t, 0 = 3*m + 5*p + 17 for m.\n' | b'-4\n' | b'Suppose -3*n + 18 = -4*x, n - x - 5 = -0*x. Let c be ((-11)/(-2) - n)*(-1 - -3). Suppose c*t - 80 = -t. Solve -3*m + 0*m + 2*p = t, 0 = 3*m + 5*p + 17 for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d = -2 + 4. Suppose -c = 5*z - 4, -d*c + 0*z + 8 = -z. Suppose 2 = c*a - 6. Solve -6 = -3*u - a*b, 5*b - 5 = u + 10 for u.\n' | b'0\n' | b'Let d = -2 + 4. Suppose -c = 5*z - 4, -d*c + 0*z + 8 = -z. Suppose 2 = c*a - 6. Solve -6 = -3*u - a*b, 5*b - 5 = u + 10 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(p) = -2*p - 1. Let a be z(-1). Let u = 2 + a. Differentiate 1 + 0*n**u - 2*n**3 + n**3 wrt n.\n' | b'-3*n**2\n' | b'Let z(p) = -2*p - 1. Let a be z(-1). Let u = 2 + a. Differentiate 1 + 0*n**u - 2*n**3 + n**3 wrt n.\n' | b'-3*n**2\n' | deepmind/math_dataset |
b'Let w(h) = 2*h + 11. Let f(c) = 5*c + 33. Let r be -3 + 3 + -1 + 9. Let m(k) = r*w(k) - 3*f(k). Let o(u) = u - 4. Let s be o(4). Calculate m(s).\n' | b'-11\n' | b'Let w(h) = 2*h + 11. Let f(c) = 5*c + 33. Let r be -3 + 3 + -1 + 9. Let m(k) = r*w(k) - 3*f(k). Let o(u) = u - 4. Let s be o(4). Calculate m(s).\n' | b'-11\n' | deepmind/math_dataset |
b'Let h be (-1 + 2)/((-2)/(-78)). Let g be (10 + -13 - -1) + (-5 - -46). Let q = g - h. Solve b = -b + r - 3, q = -4*r + 12 for b.\n' | b'0\n' | b'Let h be (-1 + 2)/((-2)/(-78)). Let g be (10 + -13 - -1) + (-5 - -46). Let q = g - h. Solve b = -b + r - 3, q = -4*r + 12 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, k: 3, j: 1, z: 4}. Give prob of sequence jkz.\n' | b'1/60\n' | b'Three letters picked without replacement from {p: 2, k: 3, j: 1, z: 4}. Give prob of sequence jkz.\n' | b'1/60\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, j: 1, b: 2, f: 2, q: 1, h: 1}. What is prob of picking 1 b, 1 f, and 1 z?\n' | b'2/21\n' | b'Three letters picked without replacement from {z: 2, j: 1, b: 2, f: 2, q: 1, h: 1}. What is prob of picking 1 b, 1 f, and 1 z?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence bdde when four letters picked without replacement from {e: 3, b: 1, i: 13, d: 3}.\n' | b'1/6460\n' | b'Calculate prob of sequence bdde when four letters picked without replacement from {e: 3, b: 1, i: 13, d: 3}.\n' | b'1/6460\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from {q: 1, k: 5, y: 5}?\n' | b'0\n' | b'What is prob of sequence qq when two letters picked without replacement from {q: 1, k: 5, y: 5}?\n' | b'0\n' | deepmind/math_dataset |
b'Let p(a) be the first derivative of a**4/4 - a**3/3 - 5*a**2/2 + 3*a + 1. Let u be (-26)/(-10) + ((-8)/5)/(-4). Give p(u).\n' | b'6\n' | b'Let p(a) be the first derivative of a**4/4 - a**3/3 - 5*a**2/2 + 3*a + 1. Let u be (-26)/(-10) + ((-8)/5)/(-4). Give p(u).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence wq when two letters picked without replacement from ewffeeqeqrfefff.\n' | b'1/105\n' | b'Calculate prob of sequence wq when two letters picked without replacement from ewffeeqeqrfefff.\n' | b'1/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tvt. Give prob of sequence tt.\n' | b'1/3\n' | b'Two letters picked without replacement from tvt. Give prob of sequence tt.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let j(z) = 3*z**2 - 3*z. Let h be (-16)/24 - 40/(-15). What is j(h)?\n' | b'6\n' | b'Let j(z) = 3*z**2 - 3*z. Let h be (-16)/24 - 40/(-15). What is j(h)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkpm when four letters picked without replacement from pmppkmppkppmpm.\n' | b'8/3003\n' | b'Calculate prob of sequence kkpm when four letters picked without replacement from pmppkmppkppmpm.\n' | b'8/3003\n' | deepmind/math_dataset |
b'Let l(a) = -a**2 + 10*a - 6. Suppose 5*j - 33 = -h, -3*j + 29 = -5*h - 2. What is l(j)?\n' | b'15\n' | b'Let l(a) = -a**2 + 10*a - 6. Suppose 5*j - 33 = -h, -3*j + 29 = -5*h - 2. What is l(j)?\n' | b'15\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 2 f, and 1 y when four letters picked without replacement from hyqfqpqshqsyyfsqsq.\n' | b'1/255\n' | b'Calculate prob of picking 1 s, 2 f, and 1 y when four letters picked without replacement from hyqfqpqshqsyyfsqsq.\n' | b'1/255\n' | deepmind/math_dataset |
b'Simplify (((y**(-3/13)/y)/((y/(y*(y*y*y*(y/(y*y**3*y))/y)/y*y))/y))/((y*y/((y/(y**(-13)*y))/y*y))/(y**(-1)/y*y*y)))**(-30) assuming y is positive.\n' | b'y**(-3420/13)\n' | b'Simplify (((y**(-3/13)/y)/((y/(y*(y*y*y*(y/(y*y**3*y))/y)/y*y))/y))/((y*y/((y/(y**(-13)*y))/y*y))/(y**(-1)/y*y*y)))**(-30) assuming y is positive.\n' | b'y**(-3420/13)\n' | deepmind/math_dataset |
b'Let n be 1*(-5 + 3 + 18). Suppose o = -3*o + n. Solve -3*f + 3*v = 16 - 4, 0 = o*f - 2*v + 12 for f.\n' | b'-2\n' | b'Let n be 1*(-5 + 3 + 18). Suppose o = -3*o + n. Solve -3*f + 3*v = 16 - 4, 0 = o*f - 2*v + 12 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lnllnllll. Give prob of sequence nn.\n' | b'1/36\n' | b'Two letters picked without replacement from lnllnllll. Give prob of sequence nn.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (l**(-1))**3/(l**(-1/3)*l*l**(6/7))*(((l*l**5)/l)/((l*(l**(2/9)/l)/l)/l))/(l**(-2/3))**(-2) assuming l is positive.\n' | b'l**(58/63)\n' | b'Simplify (l**(-1))**3/(l**(-1/3)*l*l**(6/7))*(((l*l**5)/l)/((l*(l**(2/9)/l)/l)/l))/(l**(-2/3))**(-2) assuming l is positive.\n' | b'l**(58/63)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 7, l: 7}. Give prob of picking 2 l.\n' | b'3/13\n' | b'Two letters picked without replacement from {a: 7, l: 7}. Give prob of picking 2 l.\n' | b'3/13\n' | deepmind/math_dataset |
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