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'Four letters picked without replacement from {t: 10, x: 9}. What is prob of picking 3 t and 1 x?\n' | b'90/323\n' | b'Four letters picked without replacement from {t: 10, x: 9}. What is prob of picking 3 t and 1 x?\n' | b'90/323\n' | deepmind/math_dataset |
b'Suppose -9 = 3*h + v, 2*v + 3*v = -h - 3. Let b = h - -6. What is the second derivative of -2*o - b*o**5 - o**5 + 4*o wrt o?\n' | b'-80*o**3\n' | b'Suppose -9 = 3*h + v, 2*v + 3*v = -h - 3. Let b = h - -6. What is the second derivative of -2*o - b*o**5 - o**5 + 4*o wrt o?\n' | b'-80*o**3\n' | deepmind/math_dataset |
b'Let m = 126 + -124. Solve -3*w = b - 5, 5*b - 4*w + m = -11 for b.\n' | b'-1\n' | b'Let m = 126 + -124. Solve -3*w = b - 5, 5*b - 4*w + m = -11 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let t(j) be the second derivative of -j**5/20 - j**4/2 - j**3/2 + 5*j**2/2 - 6*j - 1. Suppose 11*f - 4*q + 36 = 6*f, 0 = 3*f - q + 16. What is t(f)?\n' | b'-15\n' | b'Let t(j) be the second derivative of -j**5/20 - j**4/2 - j**3/2 + 5*j**2/2 - 6*j - 1. Suppose 11*f - 4*q + 36 = 6*f, 0 = 3*f - q + 16. What is t(f)?\n' | b'-15\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 3, c: 1, d: 2, i: 2, n: 3, p: 1}.\n' | b'1/11\n' | b'Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 3, c: 1, d: 2, i: 2, n: 3, p: 1}.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let n(s) = 0 + 0 - 4 + s - s**2 + 8. Let g be n(2). Let b(y) = -1 + 3*y + y - 3*y. What is b(g)?\n' | b'1\n' | b'Let n(s) = 0 + 0 - 4 + s - s**2 + 8. Let g be n(2). Let b(y) = -1 + 3*y + y - 3*y. What is b(g)?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, d: 2, e: 1, t: 1, j: 2, v: 4}. What is prob of picking 1 e and 1 t?\n' | b'1/66\n' | b'Two letters picked without replacement from {o: 2, d: 2, e: 1, t: 1, j: 2, v: 4}. What is prob of picking 1 e and 1 t?\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose 4*b - 3 - 17 = 0. Suppose b*c = c - 8. Let r(h) = 3*h - 1. What is r(c)?\n' | b'-7\n' | b'Suppose 4*b - 3 - 17 = 0. Suppose b*c = c - 8. Let r(h) = 3*h - 1. What is r(c)?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, m: 1, h: 1, x: 1, v: 1}. What is prob of sequence vh?\n' | b'1/20\n' | b'Two letters picked without replacement from {q: 1, m: 1, h: 1, x: 1, v: 1}. What is prob of sequence vh?\n' | b'1/20\n' | deepmind/math_dataset |
b'Find the second derivative of -308*p - 2*p**3 - 225*p - 303*p - 415*p**2 + 189*p wrt p.\n' | b'-12*p - 830\n' | b'Find the second derivative of -308*p - 2*p**3 - 225*p - 303*p - 415*p**2 + 189*p wrt p.\n' | b'-12*p - 830\n' | deepmind/math_dataset |
b'Suppose 4*i - i = 4*p + 49, 0 = -3*i - 2*p + 61. Let l(f) = 2*f**2 - f - 16. Let g be l(5). Solve i = -3*j + 4*h, j - 5*h - 8 = -g for j.\n' | b'-1\n' | b'Suppose 4*i - i = 4*p + 49, 0 = -3*i - 2*p + 61. Let l(f) = 2*f**2 - f - 16. Let g be l(5). Solve i = -3*j + 4*h, j - 5*h - 8 = -g for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((r/r**7)/r**(-4)*(r**(-5/6)/r)/(r/(r**(-4/7)*r)))**38 assuming r is positive.\n' | b'r**(-3515/21)\n' | b'Simplify ((r/r**7)/r**(-4)*(r**(-5/6)/r)/(r/(r**(-4/7)*r)))**38 assuming r is positive.\n' | b'r**(-3515/21)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, z: 1, f: 3, n: 1, q: 2, t: 5}. What is prob of sequence fnzq?\n' | b'1/2860\n' | b'Four letters picked without replacement from {i: 1, z: 1, f: 3, n: 1, q: 2, t: 5}. What is prob of sequence fnzq?\n' | b'1/2860\n' | deepmind/math_dataset |
b'Let s = 8 - 4. Suppose -f - 2 = -s. Solve -5*d + f*d - 8 = v, -4*d - 13 = -v for v.\n' | b'1\n' | b'Let s = 8 - 4. Suppose -f - 2 = -s. Solve -5*d + f*d - 8 = v, -4*d - 13 = -v for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(t) be the second derivative of 11/6*t**3 + 0*t**2 + 7*t + 0*t**6 + 0*t**5 + 0 + 0*t**4 + 4/21*t**7. Find the second derivative of c(p) wrt p.\n' | b'160*p**3\n' | b'Let c(t) be the second derivative of 11/6*t**3 + 0*t**2 + 7*t + 0*t**6 + 0*t**5 + 0 + 0*t**4 + 4/21*t**7. Find the second derivative of c(p) wrt p.\n' | b'160*p**3\n' | deepmind/math_dataset |
b'Let x = 23 - 26. Let g be (504/105)/(x/(-10)). Solve 0 = 3*z - 5*f + g, 2*z - 2*f + 8 = -0 for z.\n' | b'-2\n' | b'Let x = 23 - 26. Let g be (504/105)/(x/(-10)). Solve 0 = 3*z - 5*f + g, 2*z - 2*f + 8 = -0 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*s + 5*k + 21 = 0, -4*s - 3*k - 11 - 6 = 0. Let v be 3 + -1*(s + 2)/4. Solve -m = 5*t + m + 10, -v = -3*t - 3*m for t.\n' | b'-4\n' | b'Suppose 3*s + 5*k + 21 = 0, -4*s - 3*k - 11 - 6 = 0. Let v be 3 + -1*(s + 2)/4. Solve -m = 5*t + m + 10, -v = -3*t - 3*m for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g(f) = -3*f - 7. Let k = 1 - 7. Calculate g(k).\n' | b'11\n' | b'Let g(f) = -3*f - 7. Let k = 1 - 7. Calculate g(k).\n' | b'11\n' | deepmind/math_dataset |
b'Simplify d/(d**(-6)/d)*d*d**(2/49)/d assuming d is positive.\n' | b'd**(394/49)\n' | b'Simplify d/(d**(-6)/d)*d*d**(2/49)/d assuming d is positive.\n' | b'd**(394/49)\n' | deepmind/math_dataset |
b'Let y be 4/(-18) - 152/(-36). Suppose 0*t + y = t. Solve -m - 2*r - t = 0, 3*m - 2*r - 16 = -r for m.\n' | b'4\n' | b'Let y be 4/(-18) - 152/(-36). Suppose 0*t + y = t. Solve -m - 2*r - t = 0, 3*m - 2*r - 16 = -r for m.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence kx when two letters picked without replacement from {x: 7, j: 2, k: 5}.\n' | b'5/26\n' | b'Calculate prob of sequence kx when two letters picked without replacement from {x: 7, j: 2, k: 5}.\n' | b'5/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence lnr when three letters picked without replacement from {r: 5, l: 4, n: 2}.\n' | b'4/99\n' | b'Calculate prob of sequence lnr when three letters picked without replacement from {r: 5, l: 4, n: 2}.\n' | b'4/99\n' | deepmind/math_dataset |
b'Let f(z) be the second derivative of z**4/12 - 2*z**3/3 - 3*z**2/2 - 371*z. Let q be 78/18 + (-22)/(-6) + -4. Calculate f(q).\n' | b'-3\n' | b'Let f(z) be the second derivative of z**4/12 - 2*z**3/3 - 3*z**2/2 - 371*z. Let q be 78/18 + (-22)/(-6) + -4. Calculate f(q).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (z/(z/z**(-14)))/z**3 assuming z is positive.\n' | b'z**(-17)\n' | b'Simplify (z/(z/z**(-14)))/z**3 assuming z is positive.\n' | b'z**(-17)\n' | deepmind/math_dataset |
b'Let n(v) be the second derivative of v**9/7560 + v**6/360 + v**4/4 + 3*v. Let h(f) be the third derivative of n(f). Find the second derivative of h(o) wrt o.\n' | b'24*o**2\n' | b'Let n(v) be the second derivative of v**9/7560 + v**6/360 + v**4/4 + 3*v. Let h(f) be the third derivative of n(f). Find the second derivative of h(o) wrt o.\n' | b'24*o**2\n' | deepmind/math_dataset |
b'Let a(j) = -j**3 - 8*j**2 - 10*j - 10. Let r be a(-7). Suppose -15 = 5*m, -6*f + f - 3*m + r = 0. Solve -17 = -5*p - 0*k + 4*k, f*p = 2*k + 16 for p.\n' | b'5\n' | b'Let a(j) = -j**3 - 8*j**2 - 10*j - 10. Let r be a(-7). Suppose -15 = 5*m, -6*f + f - 3*m + r = 0. Solve -17 = -5*p - 0*k + 4*k, f*p = 2*k + 16 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((c/c**(-2/3))**(-44))**(9/14)*(c**(1/3))**(10/13)*((c**1*c)/c)**7 assuming c is positive.\n' | b'c**(-10889/273)\n' | b'Simplify ((c/c**(-2/3))**(-44))**(9/14)*(c**(1/3))**(10/13)*((c**1*c)/c)**7 assuming c is positive.\n' | b'c**(-10889/273)\n' | deepmind/math_dataset |
b'Simplify (h**(-1))**(-2/5)*(h/(h*h**(-1))*h*h)**(-48) assuming h is positive.\n' | b'h**(-718/5)\n' | b'Simplify (h**(-1))**(-2/5)*(h/(h*h**(-1))*h*h)**(-48) assuming h is positive.\n' | b'h**(-718/5)\n' | deepmind/math_dataset |
b'Simplify (v**(-7)/(((v/(v**(-24)/v))/v*v)/v))/(v/v**8*v*v**26) assuming v is positive.\n' | b'v**(-52)\n' | b'Simplify (v**(-7)/(((v/(v**(-24)/v))/v*v)/v))/(v/v**8*v*v**26) assuming v is positive.\n' | b'v**(-52)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from vorlorfv.\n' | b'1/28\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from vorlorfv.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let l(d) = 2*d - 13. Let o = -8 - -16. Let s be l(o). Suppose -k = s*k - 16. Solve -25 = 5*g - 5*v - 0*v, k*g = 3*v - 17 for g.\n' | b'-2\n' | b'Let l(d) = 2*d - 13. Let o = -8 - -16. Let s be l(o). Suppose -k = s*k - 16. Solve -25 = 5*g - 5*v - 0*v, k*g = 3*v - 17 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f be 10/3 - (-4)/6. Let j = 5383 + -5381. Differentiate 46*q**3 + j - 5*q**f - 46*q**3 wrt q.\n' | b'-20*q**3\n' | b'Let f be 10/3 - (-4)/6. Let j = 5383 + -5381. Differentiate 46*q**3 + j - 5*q**f - 46*q**3 wrt q.\n' | b'-20*q**3\n' | deepmind/math_dataset |
b'What is prob of sequence zp when two letters picked without replacement from {z: 1, p: 2}?\n' | b'1/3\n' | b'What is prob of sequence zp when two letters picked without replacement from {z: 1, p: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-3)*b*b**(-5)*b)**24)**(3/16) assuming b is positive.\n' | b'b**(-45/2)\n' | b'Simplify ((b*b**(-3)*b*b**(-5)*b)**24)**(3/16) assuming b is positive.\n' | b'b**(-45/2)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qzofuoqqqqluz. Give prob of sequence uufz.\n' | b'1/4290\n' | b'Four letters picked without replacement from qzofuoqqqqluz. Give prob of sequence uufz.\n' | b'1/4290\n' | deepmind/math_dataset |
b'Find the second derivative of 3*o**5 + 12*o**2 + 3*o**2 - 160 - o + 9*o**2 - 3*o**2 wrt o.\n' | b'60*o**3 + 42\n' | b'Find the second derivative of 3*o**5 + 12*o**2 + 3*o**2 - 160 - o + 9*o**2 - 3*o**2 wrt o.\n' | b'60*o**3 + 42\n' | deepmind/math_dataset |
b'Let g(d) = -d**3 + 48*d**2 - 93*d + 56. Let b be g(46). Let n(o) = -o + 12. Let h be n(8). Let q = h - 2. Solve b = -q*a + p + p, 0 = a + p + 1 for a.\n' | b'-3\n' | b'Let g(d) = -d**3 + 48*d**2 - 93*d + 56. Let b be g(46). Let n(o) = -o + 12. Let h be n(8). Let q = h - 2. Solve b = -q*a + p + p, 0 = a + p + 1 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 5, g: 3, h: 1}. What is prob of picking 1 t and 2 g?\n' | b'5/28\n' | b'Three letters picked without replacement from {t: 5, g: 3, h: 1}. What is prob of picking 1 t and 2 g?\n' | b'5/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from effciiwfcf. What is prob of picking 2 c?\n' | b'1/45\n' | b'Two letters picked without replacement from effciiwfcf. What is prob of picking 2 c?\n' | b'1/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 e, and 1 r when three letters picked without replacement from qqfreqwwq.\n' | b'1/84\n' | b'Calculate prob of picking 1 f, 1 e, and 1 r when three letters picked without replacement from qqfreqwwq.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let z be (-1)/(-3) + 510/9. Let w = -52 + z. Suppose a = w*c - 6, 8*a - c = 3*a + 18. Solve -28 = -3*o - o + a*b, -2*b = 5*o - 7 for o.\n' | b'3\n' | b'Let z be (-1)/(-3) + 510/9. Let w = -52 + z. Suppose a = w*c - 6, 8*a - c = 3*a + 18. Solve -28 = -3*o - o + a*b, -2*b = 5*o - 7 for o.\n' | b'3\n' | deepmind/math_dataset |
b'Let k(y) = -y**3 + y**2 + y + 3. Let b(j) = j**3 - 2. Let i(l) = -5*b(l) - 4*k(l). Determine i(-2).\n' | b'-2\n' | b'Let k(y) = -y**3 + y**2 + y + 3. Let b(j) = j**3 - 2. Let i(l) = -5*b(l) - 4*k(l). Determine i(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence ol when two letters picked without replacement from ollooooo?\n' | b'3/14\n' | b'What is prob of sequence ol when two letters picked without replacement from ollooooo?\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 n when two letters picked without replacement from {k: 1, n: 3, a: 4, l: 2, i: 1, j: 1}?\n' | b'1/22\n' | b'What is prob of picking 1 j and 1 n when two letters picked without replacement from {k: 1, n: 3, a: 4, l: 2, i: 1, j: 1}?\n' | b'1/22\n' | deepmind/math_dataset |
b'What is prob of sequence sl when two letters picked without replacement from llsii?\n' | b'1/10\n' | b'What is prob of sequence sl when two letters picked without replacement from llsii?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let j(k) be the third derivative of 1/15*k**5 + 0*k**4 + 0 - 1/30*k**6 + 0*k**3 + 0*k + 2*k**2. What is the third derivative of j(n) wrt n?\n' | b'-24\n' | b'Let j(k) be the third derivative of 1/15*k**5 + 0*k**4 + 0 - 1/30*k**6 + 0*k**3 + 0*k + 2*k**2. What is the third derivative of j(n) wrt n?\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify (p**(-6)*p**(-2/27))/(p/((p*p**17)/p)*p**(-19/4)) assuming p is positive.\n' | b'p**(1585/108)\n' | b'Simplify (p**(-6)*p**(-2/27))/(p/((p*p**17)/p)*p**(-19/4)) assuming p is positive.\n' | b'p**(1585/108)\n' | deepmind/math_dataset |
b'What is prob of sequence bybt when four letters picked without replacement from ybyybybvyvccbcyyvvt?\n' | b'7/7752\n' | b'What is prob of sequence bybt when four letters picked without replacement from ybyybybvyvccbcyyvvt?\n' | b'7/7752\n' | deepmind/math_dataset |
b'Simplify ((y/(y/y**(-20)))/((y/(y/(y**23*y)))/y))/((y/(y**(-3/8)/y))/(y/(y/(((y/(y*y**(-1/32)))/y)/y)))) assuming y is positive.\n' | b'y**(-1515/32)\n' | b'Simplify ((y/(y/y**(-20)))/((y/(y/(y**23*y)))/y))/((y/(y**(-3/8)/y))/(y/(y/(((y/(y*y**(-1/32)))/y)/y)))) assuming y is positive.\n' | b'y**(-1515/32)\n' | deepmind/math_dataset |
b'Suppose -4*w - 5*k = 221 - 58, -5*w = 5*k + 210. Let r = 52 + w. Solve 4*q - 5*i = -7, 2*q + r = 5*i - 4*i for q.\n' | b'-3\n' | b'Suppose -4*w - 5*k = 221 - 58, -5*w = 5*k + 210. Let r = 52 + w. Solve 4*q - 5*i = -7, 2*q + r = 5*i - 4*i for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, n: 4, f: 1}. What is prob of picking 1 v and 2 n?\n' | b'9/28\n' | b'Three letters picked without replacement from {v: 3, n: 4, f: 1}. What is prob of picking 1 v and 2 n?\n' | b'9/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 3, o: 1}. Give prob of picking 1 o and 2 d.\n' | b'3/4\n' | b'Three letters picked without replacement from {d: 3, o: 1}. Give prob of picking 1 o and 2 d.\n' | b'3/4\n' | deepmind/math_dataset |
b'Suppose -7*d - 8 = a - 3*d, 3*a + 4*d = 0. Let w be (a/6)/(14/63). Solve -w*s - 4 - 8 = -3*g, 2*s - 3*g + 8 = 0 for s.\n' | b'-4\n' | b'Suppose -7*d - 8 = a - 3*d, 3*a + 4*d = 0. Let w be (a/6)/(14/63). Solve -w*s - 4 - 8 = -3*g, 2*s - 3*g + 8 = 0 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 w when two letters picked without replacement from wtiwiwwmti?\n' | b'4/15\n' | b'What is prob of picking 1 i and 1 w when two letters picked without replacement from wtiwiwwmti?\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify (q**(-2/5))**(-22/3) assuming q is positive.\n' | b'q**(44/15)\n' | b'Simplify (q**(-2/5))**(-22/3) assuming q is positive.\n' | b'q**(44/15)\n' | deepmind/math_dataset |
b'Let m = 60 - 36. Find the second derivative of -5*y**2 - 4*y**2 + m*y + 4*y**2 - 22*y wrt y.\n' | b'-10\n' | b'Let m = 60 - 36. Find the second derivative of -5*y**2 - 4*y**2 + m*y + 4*y**2 - 22*y wrt y.\n' | b'-10\n' | deepmind/math_dataset |
b'Let z(o) be the second derivative of -749*o**5/10 + 115*o**4 - 2*o + 400. What is the third derivative of z(h) wrt h?\n' | b'-8988\n' | b'Let z(o) be the second derivative of -749*o**5/10 + 115*o**4 - 2*o + 400. What is the third derivative of z(h) wrt h?\n' | b'-8988\n' | deepmind/math_dataset |
b'Simplify (((a/(a/(a*a**(2/17)/a)))/a)/(a/(a/a**(2/11))))**(-42)*a**(-2)*(a/(a*(a/(a**(-3/2)/a))/a*a*a))/a*a**(-1/2)*a**(2/13)/a*a assuming a is positive.\n' | b'a**(89580/2431)\n' | b'Simplify (((a/(a/(a*a**(2/17)/a)))/a)/(a/(a/a**(2/11))))**(-42)*a**(-2)*(a/(a*(a/(a**(-3/2)/a))/a*a*a))/a*a**(-1/2)*a**(2/13)/a*a assuming a is positive.\n' | b'a**(89580/2431)\n' | deepmind/math_dataset |
b'Simplify ((z/(z*z/((z*(z/(z/(z**(-1)*z)))/z)/z)))/z*z)/z*z**(-33)*z assuming z is positive.\n' | b'z**(-35)\n' | b'Simplify ((z/(z*z/((z*(z/(z/(z**(-1)*z)))/z)/z)))/z*z)/z*z**(-33)*z assuming z is positive.\n' | b'z**(-35)\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 j, and 1 d when three letters picked without replacement from {l: 6, z: 1, j: 4, d: 4}?\n' | b'96/455\n' | b'What is prob of picking 1 l, 1 j, and 1 d when three letters picked without replacement from {l: 6, z: 1, j: 4, d: 4}?\n' | b'96/455\n' | deepmind/math_dataset |
b'Let z(p) = p**2 + 2*p - 5. Let x be z(-5). Let v = x + -5. Suppose 0 = g - 2*g - v. Let f(a) = a**2 + 4*a - 7. Give f(g).\n' | b'-2\n' | b'Let z(p) = p**2 + 2*p - 5. Let x be z(-5). Let v = x + -5. Suppose 0 = g - 2*g - v. Let f(a) = a**2 + 4*a - 7. Give f(g).\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of -4343*j + 27*j**2 - 6*j**5 + 3*j**5 + 218*j**2 - 36*j**2 + 121*j**2 wrt j?\n' | b'-60*j**3 + 660\n' | b'What is the second derivative of -4343*j + 27*j**2 - 6*j**5 + 3*j**5 + 218*j**2 - 36*j**2 + 121*j**2 wrt j?\n' | b'-60*j**3 + 660\n' | deepmind/math_dataset |
b'Let x be (-3)/(3/12*-6). What is the second derivative of -s**5 + 74*s**2 - s - 74*s**x wrt s?\n' | b'-20*s**3\n' | b'Let x be (-3)/(3/12*-6). What is the second derivative of -s**5 + 74*s**2 - s - 74*s**x wrt s?\n' | b'-20*s**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sssbssbiisiiisii. Give prob of picking 1 s, 1 b, and 1 i.\n' | b'7/40\n' | b'Three letters picked without replacement from sssbssbiisiiisii. Give prob of picking 1 s, 1 b, and 1 i.\n' | b'7/40\n' | deepmind/math_dataset |
b'Suppose 0 = 7*c - 2*c - 10. Let l be (-2)/(-4) + (-1)/c. Let d(q) = l*q + 0*q - 3 - q. What is d(-3)?\n' | b'0\n' | b'Suppose 0 = 7*c - 2*c - 10. Let l be (-2)/(-4) + (-1)/c. Let d(q) = l*q + 0*q - 3 - q. What is d(-3)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -4*p + d + 5 = 0, 9*d - 5*d - 16 = -2*p. Solve -2*z = 4, 2*h - 3*z = -0*h + p for h.\n' | b'-2\n' | b'Suppose -4*p + d + 5 = 0, 9*d - 5*d - 16 = -2*p. Solve -2*z = 4, 2*h - 3*z = -0*h + p for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(r) = 2*r**2 + 6*r - 12. Let l be g(-5). Let n be 6/l + (-18)/24. Solve 5*k + 4*z + 10 = 38, 5*k + 3*z - 26 = n for k.\n' | b'4\n' | b'Let g(r) = 2*r**2 + 6*r - 12. Let l be g(-5). Let n be 6/l + (-18)/24. Solve 5*k + 4*z + 10 = 38, 5*k + 3*z - 26 = n for k.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(q) = -q + 4. Let g = 37 - 41. Calculate j(g).\n' | b'8\n' | b'Let j(q) = -q + 4. Let g = 37 - 41. Calculate j(g).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 2*g + 5*l + 8 = -0*g, 0 = l + 4. Suppose c = 0, -2*f + 0 = c - g. Solve 2*j - 7*j - 20 = 5*p, p = f*j for j.\n' | b'-1\n' | b'Suppose 2*g + 5*l + 8 = -0*g, 0 = l + 4. Suppose c = 0, -2*f + 0 = c - g. Solve 2*j - 7*j - 20 = 5*p, p = f*j for j.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence fo when two letters picked without replacement from ollgoofofflo?\n' | b'5/44\n' | b'What is prob of sequence fo when two letters picked without replacement from ollgoofofflo?\n' | b'5/44\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, g: 5}. What is prob of sequence gc?\n' | b'5/21\n' | b'Two letters picked without replacement from {c: 2, g: 5}. What is prob of sequence gc?\n' | b'5/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxqxxpixx. What is prob of picking 1 q and 1 p?\n' | b'1/36\n' | b'Two letters picked without replacement from xxqxxpixx. What is prob of picking 1 q and 1 p?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (((f/f**(1/3))/f*f/((f*f**(-3/5))/f))**(-1/14))**(8/5) assuming f is positive.\n' | b'f**(-76/525)\n' | b'Simplify (((f/f**(1/3))/f*f/((f*f**(-3/5))/f))**(-1/14))**(8/5) assuming f is positive.\n' | b'f**(-76/525)\n' | deepmind/math_dataset |
b'Simplify ((h**(-3/8)/h)**(-1/5))**(-4/9) assuming h is positive.\n' | b'h**(-11/90)\n' | b'Simplify ((h**(-3/8)/h)**(-1/5))**(-4/9) assuming h is positive.\n' | b'h**(-11/90)\n' | deepmind/math_dataset |
b'Calculate prob of sequence zl when two letters picked without replacement from {y: 6, z: 1, l: 7}.\n' | b'1/26\n' | b'Calculate prob of sequence zl when two letters picked without replacement from {y: 6, z: 1, l: 7}.\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify ((h*h*h**(-25))/((h/(((h**(-14)/h)/h)/h*h))/h))**19 assuming h is positive.\n' | b'h**(-741)\n' | b'Simplify ((h*h*h**(-25))/((h/(((h**(-14)/h)/h)/h*h))/h))**19 assuming h is positive.\n' | b'h**(-741)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, q: 2, i: 2}. Give prob of picking 1 y and 1 q.\n' | b'1/5\n' | b'Two letters picked without replacement from {y: 1, q: 2, i: 2}. Give prob of picking 1 y and 1 q.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of sequence zscs when four letters picked without replacement from cszcsnnz?\n' | b'1/210\n' | b'What is prob of sequence zscs when four letters picked without replacement from cszcsnnz?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify (a**(18/11)/a*a**(7/4))/((a*a*a**(4/15)*a)/a**(1/51)) assuming a is positive.\n' | b'a**(-3219/3740)\n' | b'Simplify (a**(18/11)/a*a**(7/4))/((a*a*a**(4/15)*a)/a**(1/51)) assuming a is positive.\n' | b'a**(-3219/3740)\n' | deepmind/math_dataset |
b'Simplify (u/(u/u**(3/20))*u)**(-28) assuming u is positive.\n' | b'u**(-161/5)\n' | b'Simplify (u/(u/u**(3/20))*u)**(-28) assuming u is positive.\n' | b'u**(-161/5)\n' | deepmind/math_dataset |
b'Let q be 8/12 + (-68)/(-6). Find the second derivative of u**4 - 10*u + 15*u + q - 12 wrt u.\n' | b'12*u**2\n' | b'Let q be 8/12 + (-68)/(-6). Find the second derivative of u**4 - 10*u + 15*u + q - 12 wrt u.\n' | b'12*u**2\n' | deepmind/math_dataset |
b'Let y(h) be the second derivative of 0*h**3 + 1/5*h**6 + 0*h**4 + 0 - 6*h + 0*h**5 - 8*h**2. What is the derivative of y(c) wrt c?\n' | b'24*c**3\n' | b'Let y(h) be the second derivative of 0*h**3 + 1/5*h**6 + 0*h**4 + 0 - 6*h + 0*h**5 - 8*h**2. What is the derivative of y(c) wrt c?\n' | b'24*c**3\n' | deepmind/math_dataset |
b'Let h(z) be the first derivative of -2*z**7/7 + 59*z**6/2 - 764*z**3/3 + 1180. What is the third derivative of h(s) wrt s?\n' | b'-240*s**3 + 10620*s**2\n' | b'Let h(z) be the first derivative of -2*z**7/7 + 59*z**6/2 - 764*z**3/3 + 1180. What is the third derivative of h(s) wrt s?\n' | b'-240*s**3 + 10620*s**2\n' | deepmind/math_dataset |
b'Let i(y) = -6*y**3 + y + 1. Let s(h) = 166*h**3 - h**2 + h + 81. Let w(p) = 2*i(p) - s(p). Find the second derivative of w(g) wrt g.\n' | b'-1068*g + 2\n' | b'Let i(y) = -6*y**3 + y + 1. Let s(h) = 166*h**3 - h**2 + h + 81. Let w(p) = 2*i(p) - s(p). Find the second derivative of w(g) wrt g.\n' | b'-1068*g + 2\n' | deepmind/math_dataset |
b'Find the second derivative of 429*v**2 - 607*v + 264*v**2 + 620*v**2 wrt v.\n' | b'2626\n' | b'Find the second derivative of 429*v**2 - 607*v + 264*v**2 + 620*v**2 wrt v.\n' | b'2626\n' | deepmind/math_dataset |
b'Let y(w) = w + 5*w**3 - 10 - 2*w + 4. Let g(q) = 14*q**3 - q**2 - 4*q - 18. Let x(c) = 4*g(c) - 11*y(c). Determine x(5).\n' | b'-6\n' | b'Let y(w) = w + 5*w**3 - 10 - 2*w + 4. Let g(q) = 14*q**3 - q**2 - 4*q - 18. Let x(c) = 4*g(c) - 11*y(c). Determine x(5).\n' | b'-6\n' | deepmind/math_dataset |
b'Let l(b) = 4 + 3*b**2 - 4*b + 8 - 13. Calculate l(3).\n' | b'14\n' | b'Let l(b) = 4 + 3*b**2 - 4*b + 8 - 13. Calculate l(3).\n' | b'14\n' | deepmind/math_dataset |
b'Suppose 2*m - 7*m = -10. Suppose 3*y - 6*y + 4*r = 32, m*r = -2*y + 2. Let a = 9 + y. Solve a*i = i - g + 10, -2*i - 3*g = -10 for i.\n' | b'2\n' | b'Suppose 2*m - 7*m = -10. Suppose 3*y - 6*y + 4*r = 32, m*r = -2*y + 2. Let a = 9 + y. Solve a*i = i - g + 10, -2*i - 3*g = -10 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence msws when four letters picked without replacement from mmssmmmmsswms.\n' | b'7/858\n' | b'Calculate prob of sequence msws when four letters picked without replacement from mmssmmmmsswms.\n' | b'7/858\n' | deepmind/math_dataset |
b'Calculate prob of sequence kxii when four letters picked without replacement from iiiiixikkkk.\n' | b'1/66\n' | b'Calculate prob of sequence kxii when four letters picked without replacement from iiiiixikkkk.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose -8*x = -6*x - 16. Let k(q) = -q + 3*q - x - 11*q + 8*q. What is k(-8)?\n' | b'0\n' | b'Suppose -8*x = -6*x - 16. Let k(q) = -q + 3*q - x - 11*q + 8*q. What is k(-8)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -10*z + z = 99. Let s(v) = v**3 + 11*v**2 + 2*v + 10. Determine s(z).\n' | b'-12\n' | b'Suppose -10*z + z = 99. Let s(v) = v**3 + 11*v**2 + 2*v + 10. Determine s(z).\n' | b'-12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, g: 1, v: 1, h: 1}. What is prob of sequence vh?\n' | b'1/20\n' | b'Two letters picked without replacement from {z: 2, g: 1, v: 1, h: 1}. What is prob of sequence vh?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let n(j) = j**2 + 7*j. Let u be n(-6). Let d be (-2)/((1 + 2)/u). Let r(x) = -d*x + 3*x + 1 - x**2 + 2*x. What is r(3)?\n' | b'-5\n' | b'Let n(j) = j**2 + 7*j. Let u be n(-6). Let d be (-2)/((1 + 2)/u). Let r(x) = -d*x + 3*x + 1 - x**2 + 2*x. What is r(3)?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, i: 4, z: 2, w: 2, d: 7}. What is prob of picking 1 z and 1 w?\n' | b'1/30\n' | b'Two letters picked without replacement from {p: 1, i: 4, z: 2, w: 2, d: 7}. What is prob of picking 1 z and 1 w?\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lllllll. What is prob of sequence ll?\n' | b'1\n' | b'Two letters picked without replacement from lllllll. What is prob of sequence ll?\n' | b'1\n' | deepmind/math_dataset |
b'Let f = 46 + -27. Let r = f - 15. Find the second derivative of -3*i + 8*i**5 + 5*i - r*i + 3*i wrt i.\n' | b'160*i**3\n' | b'Let f = 46 + -27. Let r = f - 15. Find the second derivative of -3*i + 8*i**5 + 5*i - r*i + 3*i wrt i.\n' | b'160*i**3\n' | deepmind/math_dataset |
b'Differentiate -546 + 7*x**2 - 7*x**2 - 222*x**3 - 382 wrt x.\n' | b'-666*x**2\n' | b'Differentiate -546 + 7*x**2 - 7*x**2 - 222*x**3 - 382 wrt x.\n' | b'-666*x**2\n' | deepmind/math_dataset |
b'Let d(b) = -b**3 + b**2 - b. Let i be d(0). Suppose i = 2*t - 5*g + 11, -3*t = g - 8 - 1. Solve -q - 10 = -4*v - t*q, -q = v - 1 for v.\n' | b'3\n' | b'Let d(b) = -b**3 + b**2 - b. Let i be d(0). Suppose i = 2*t - 5*g + 11, -3*t = g - 8 - 1. Solve -q - 10 = -4*v - t*q, -q = v - 1 for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 h when two letters picked without replacement from hhshsshj?\n' | b'3/7\n' | b'What is prob of picking 1 s and 1 h when two letters picked without replacement from hhshsshj?\n' | b'3/7\n' | deepmind/math_dataset |
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