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 b(h) = h**3 - 9*h**2 + 2*h - 2. Let f = 60 - 55. Let s(q) = q**2 + 7*q + 15. Let j be s(-10). Suppose 0*y - j = -f*y. Give b(y).\n' | b'16\n' | b'Let b(h) = h**3 - 9*h**2 + 2*h - 2. Let f = 60 - 55. Let s(q) = q**2 + 7*q + 15. Let j be s(-10). Suppose 0*y - j = -f*y. Give b(y).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify ((((h/((h*((h/(h*h**(2/21)*h))/h)/h)/h))/h*h)/h)**(11/5)*(h**24/h)/(h**(1/9)*h))**36 assuming h is positive.\n' | b'h**(7232/7)\n' | b'Simplify ((((h/((h*((h/(h*h**(2/21)*h))/h)/h)/h))/h*h)/h)**(11/5)*(h**24/h)/(h**(1/9)*h))**36 assuming h is positive.\n' | b'h**(7232/7)\n' | deepmind/math_dataset |
b'Suppose 25 = -5*k, -23*k + 18*k = -o + 21. Let p(r) = -3*r - 3 - 2*r**2 + 2*r - 5*r + r**2. Calculate p(o).\n' | b'5\n' | b'Suppose 25 = -5*k, -23*k + 18*k = -o + 21. Let p(r) = -3*r - 3 - 2*r**2 + 2*r - 5*r + r**2. Calculate p(o).\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 9, m: 1, n: 2, y: 2}. What is prob of picking 1 y and 2 n?\n' | b'1/182\n' | b'Three letters picked without replacement from {o: 9, m: 1, n: 2, y: 2}. What is prob of picking 1 y and 2 n?\n' | b'1/182\n' | deepmind/math_dataset |
b'Let c = -56 + 61. Suppose 0 = 22*r - 16*r - 30. Suppose 4*h - 2*h = 3*a - 5, -5*a + 30 = h. Solve c*x = -h*v + 5, -v - 4*v + x + r = 0 for v.\n' | b'1\n' | b'Let c = -56 + 61. Suppose 0 = 22*r - 16*r - 30. Suppose 4*h - 2*h = 3*a - 5, -5*a + 30 = h. Solve c*x = -h*v + 5, -v - 4*v + x + r = 0 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(y) = -8*y + 71. Let w be k(7). Suppose 5*c - 3*c - 34 = 0. Let v = w - c. Let j(p) = p**3 + 4*p**2 + 4*p + 2. Determine j(v).\n' | b'2\n' | b'Let k(y) = -8*y + 71. Let w be k(7). Suppose 5*c - 3*c - 34 = 0. Let v = w - c. Let j(p) = p**3 + 4*p**2 + 4*p + 2. Determine j(v).\n' | b'2\n' | deepmind/math_dataset |
b'Find the third derivative of 308*c**4 - 308*c**4 - 2*c**2 + 91*c**5 + 37*c wrt c.\n' | b'5460*c**2\n' | b'Find the third derivative of 308*c**4 - 308*c**4 - 2*c**2 + 91*c**5 + 37*c wrt c.\n' | b'5460*c**2\n' | deepmind/math_dataset |
b'What is prob of sequence kv when two letters picked without replacement from bcvvvbvvvvbbkvbbkv?\n' | b'1/17\n' | b'What is prob of sequence kv when two letters picked without replacement from bcvvvbvvvvbbkvbbkv?\n' | b'1/17\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from shddvsddsvdvds.\n' | b'3/91\n' | b'Calculate prob of sequence vv when two letters picked without replacement from shddvsddsvdvds.\n' | b'3/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qqqqqqqqq. Give prob of picking 4 q.\n' | b'1\n' | b'Four letters picked without replacement from qqqqqqqqq. Give prob of picking 4 q.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooooooo. What is prob of sequence oooo?\n' | b'1\n' | b'Four letters picked without replacement from ooooooo. What is prob of sequence oooo?\n' | b'1\n' | deepmind/math_dataset |
b'Let x = -51 - -51. Solve x = v - 2*l - 0*l - 3, -v + 5*l = -6 for v.\n' | b'1\n' | b'Let x = -51 - -51. Solve x = v - 2*l - 0*l - 3, -v + 5*l = -6 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*o - 5 = -3*p + 3*o, 4*p + o = -5. Suppose 5*z - 90 = -p*z. Suppose z = 4*y + 10. Solve 0 = -d - 4*h - 0 - y, 4 = -4*h for d.\n' | b'2\n' | b'Suppose 2*o - 5 = -3*p + 3*o, 4*p + o = -5. Suppose 5*z - 90 = -p*z. Suppose z = 4*y + 10. Solve 0 = -d - 4*h - 0 - y, 4 = -4*h for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(m) = 2*m**3 - 6*m**2 - 2*m + 2. Let b(o) = -o**3 + o**2. Let h(c) = -3*b(c) - n(c). Suppose -9*v - 24 = -v. Calculate h(v).\n' | b'-8\n' | b'Let n(m) = 2*m**3 - 6*m**2 - 2*m + 2. Let b(o) = -o**3 + o**2. Let h(c) = -3*b(c) - n(c). Suppose -9*v - 24 = -v. Calculate h(v).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify b**(-3/8)/b**(8/7)*b*b**(3/4)*b*b**(-1/63)*b assuming b is positive.\n' | b'b**(1117/504)\n' | b'Simplify b**(-3/8)/b**(8/7)*b*b**(3/4)*b*b**(-1/63)*b assuming b is positive.\n' | b'b**(1117/504)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 3, d: 5, y: 2, i: 5, p: 1}. Give prob of picking 2 i, 1 d, and 1 r.\n' | b'15/182\n' | b'Four letters picked without replacement from {r: 3, d: 5, y: 2, i: 5, p: 1}. Give prob of picking 2 i, 1 d, and 1 r.\n' | b'15/182\n' | deepmind/math_dataset |
b'Let s(o) = o**3 + 6*o**2 + o + 7. Let y be s(-6). Differentiate -y - 4*z + 4*z + 4*z**4 - 7*z**4 with respect to z.\n' | b'-12*z**3\n' | b'Let s(o) = o**3 + 6*o**2 + o + 7. Let y be s(-6). Differentiate -y - 4*z + 4*z + 4*z**4 - 7*z**4 with respect to z.\n' | b'-12*z**3\n' | deepmind/math_dataset |
b'Suppose 28 = 5*o - 2. Let z(n) = -6*n - 2*n**3 - 2*n**2 + 9*n**2 - 2 + n**3. Determine z(o).\n' | b'-2\n' | b'Suppose 28 = 5*o - 2. Let z(n) = -6*n - 2*n**3 - 2*n**2 + 9*n**2 - 2 + n**3. Determine z(o).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vsvsvssssvvv. What is prob of sequence sv?\n' | b'3/11\n' | b'Two letters picked without replacement from vsvsvssssvvv. What is prob of sequence sv?\n' | b'3/11\n' | deepmind/math_dataset |
b'Let b(a) = -a**3 - 10*a**2 + 13*a + 16. Let h be 2*(-7)/(7 - 14). Suppose -14 = h*s + 4*l, -2*s - 3*l - 2*l - 12 = 0. What is b(s)?\n' | b'-6\n' | b'Let b(a) = -a**3 - 10*a**2 + 13*a + 16. Let h be 2*(-7)/(7 - 14). Suppose -14 = h*s + 4*l, -2*s - 3*l - 2*l - 12 = 0. What is b(s)?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 12 + 56 = 2*b. Let u = -4 + 6. Suppose -s + 0 = -4. Solve -s*n + 12 - b = u*w, 3*n - 2*w = -6 for n.\n' | b'-4\n' | b'Suppose 12 + 56 = 2*b. Let u = -4 + 6. Suppose -s + 0 = -4. Solve -s*n + 12 - b = u*w, 3*n - 2*w = -6 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (l/(l*l**(5/2)))**(-35) assuming l is positive.\n' | b'l**(175/2)\n' | b'Simplify (l/(l*l**(5/2)))**(-35) assuming l is positive.\n' | b'l**(175/2)\n' | deepmind/math_dataset |
b'Suppose 3*a = -a + 12. Let n(f) = -a + 2*f + 1 - 4. Suppose -222*j + 100 = -242*j. Determine n(j).\n' | b'-16\n' | b'Suppose 3*a = -a + 12. Let n(f) = -a + 2*f + 1 - 4. Suppose -222*j + 100 = -242*j. Determine n(j).\n' | b'-16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, y: 4, b: 1, r: 4, z: 4}. Give prob of sequence yrr.\n' | b'1/70\n' | b'Three letters picked without replacement from {w: 3, y: 4, b: 1, r: 4, z: 4}. Give prob of sequence yrr.\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify (g*(g/(((g/g**(1/2))/g)/g*g))/g)**(-37)/((g*(g/(g/g**(-1/3)))/g)/g)**(-1/24) assuming g is positive.\n' | b'g**(-500/9)\n' | b'Simplify (g*(g/(((g/g**(1/2))/g)/g*g))/g)**(-37)/((g*(g/(g/g**(-1/3)))/g)/g)**(-1/24) assuming g is positive.\n' | b'g**(-500/9)\n' | deepmind/math_dataset |
b'Simplify (t**(1/12))**24 assuming t is positive.\n' | b't**2\n' | b'Simplify (t**(1/12))**24 assuming t is positive.\n' | b't**2\n' | deepmind/math_dataset |
b'Let r(w) = -2*w - 5. Let v be r(-5). Let h = v + -5. Let k(o) = -o**3 + o**2 - 6. What is k(h)?\n' | b'-6\n' | b'Let r(w) = -2*w - 5. Let v be r(-5). Let h = v + -5. Let k(o) = -o**3 + o**2 - 6. What is k(h)?\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, g: 10}. What is prob of sequence bb?\n' | b'1/66\n' | b'Two letters picked without replacement from {b: 2, g: 10}. What is prob of sequence bb?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let p(b) = 3*b + 15. Let v be -11 + 3/(-2 - (-6 - -1)). Calculate p(v).\n' | b'-15\n' | b'Let p(b) = 3*b + 15. Let v be -11 + 3/(-2 - (-6 - -1)). Calculate p(v).\n' | b'-15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, t: 2, o: 2, h: 2, v: 1, b: 1}. Give prob of picking 2 o, 1 t, and 1 h.\n' | b'2/63\n' | b'Four letters picked without replacement from {i: 1, t: 2, o: 2, h: 2, v: 1, b: 1}. Give prob of picking 2 o, 1 t, and 1 h.\n' | b'2/63\n' | deepmind/math_dataset |
b'Calculate prob of sequence yvoo when four letters picked without replacement from vyyiyvpoyppypoooioi.\n' | b'25/11628\n' | b'Calculate prob of sequence yvoo when four letters picked without replacement from vyyiyvpoyppypoooioi.\n' | b'25/11628\n' | deepmind/math_dataset |
b'Suppose -38 = -10*g + 2. Let b = -6 - -11. Solve -23 = b*n + 3*x, g*n + 15 = 3*x - 2*x for n.\n' | b'-4\n' | b'Suppose -38 = -10*g + 2. Let b = -6 - -11. Solve -23 = b*n + 3*x, g*n + 15 = 3*x - 2*x for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i/((i**3/i)/i))/i*((i**(-11)*i)/i)/i assuming i is positive.\n' | b'i**(-13)\n' | b'Simplify (i/((i**3/i)/i))/i*((i**(-11)*i)/i)/i assuming i is positive.\n' | b'i**(-13)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, a: 2, c: 1, x: 1, f: 2, j: 2}. Give prob of picking 1 q and 1 x.\n' | b'1/36\n' | b'Two letters picked without replacement from {q: 1, a: 2, c: 1, x: 1, f: 2, j: 2}. Give prob of picking 1 q and 1 x.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let v(s) be the third derivative of 9*s**9/28 - 13*s**5/60 - s**4/12 + 6*s**2 - 23. Find the third derivative of v(o) wrt o.\n' | b'19440*o**3\n' | b'Let v(s) be the third derivative of 9*s**9/28 - 13*s**5/60 - s**4/12 + 6*s**2 - 23. Find the third derivative of v(o) wrt o.\n' | b'19440*o**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from odlooooodldldoool. Give prob of picking 4 l.\n' | b'1/2380\n' | b'Four letters picked without replacement from odlooooodldldoool. Give prob of picking 4 l.\n' | b'1/2380\n' | deepmind/math_dataset |
b'Calculate prob of sequence fwfw when four letters picked without replacement from {h: 4, f: 5, w: 7, p: 2}.\n' | b'7/612\n' | b'Calculate prob of sequence fwfw when four letters picked without replacement from {h: 4, f: 5, w: 7, p: 2}.\n' | b'7/612\n' | deepmind/math_dataset |
b'Let b(p) = -36*p - 25. Let a(s) = 21*s + 12. Let h(c) = -5*a(c) - 2*b(c). What is the derivative of h(r) wrt r?\n' | b'-33\n' | b'Let b(p) = -36*p - 25. Let a(s) = 21*s + 12. Let h(c) = -5*a(c) - 2*b(c). What is the derivative of h(r) wrt r?\n' | b'-33\n' | deepmind/math_dataset |
b'Simplify ((n**(2/11)/n)**21/(n**12*n**(-1/16)))**(-33) assuming n is positive.\n' | b'n**(15375/16)\n' | b'Simplify ((n**(2/11)/n)**21/(n**12*n**(-1/16)))**(-33) assuming n is positive.\n' | b'n**(15375/16)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 x, and 2 p when four letters picked without replacement from {p: 3, x: 1, b: 2, h: 3, s: 5, w: 6}.\n' | b'6/1615\n' | b'Calculate prob of picking 1 w, 1 x, and 2 p when four letters picked without replacement from {p: 3, x: 1, b: 2, h: 3, s: 5, w: 6}.\n' | b'6/1615\n' | deepmind/math_dataset |
b'What is prob of sequence wxw when three letters picked without replacement from {w: 2, c: 4, v: 4, l: 1, x: 6}?\n' | b'1/340\n' | b'What is prob of sequence wxw when three letters picked without replacement from {w: 2, c: 4, v: 4, l: 1, x: 6}?\n' | b'1/340\n' | deepmind/math_dataset |
b'Let o(f) be the second derivative of 3/2*f**6 + 11/6*f**4 + 1/10*f**5 + 4*f - 1/2*f**2 + 0*f**3 + 5. Find the third derivative of o(c) wrt c.\n' | b'1080*c + 12\n' | b'Let o(f) be the second derivative of 3/2*f**6 + 11/6*f**4 + 1/10*f**5 + 4*f - 1/2*f**2 + 0*f**3 + 5. Find the third derivative of o(c) wrt c.\n' | b'1080*c + 12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, u: 4, x: 5}. Give prob of picking 1 u, 1 o, and 2 x.\n' | b'200/1001\n' | b'Four letters picked without replacement from {o: 5, u: 4, x: 5}. Give prob of picking 1 u, 1 o, and 2 x.\n' | b'200/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from thhhbbhhtt. What is prob of sequence bb?\n' | b'1/45\n' | b'Two letters picked without replacement from thhhbbhhtt. What is prob of sequence bb?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let x(f) = -2*f + 13. Let g be 25 + -23 - (-39 + 0). Let c = 46 - g. Let n be x(c). Solve -5*t + 31 = -4*k, 5*k - 4*t = -n*t - 23 for k.\n' | b'-4\n' | b'Let x(f) = -2*f + 13. Let g be 25 + -23 - (-39 + 0). Let c = 46 - g. Let n be x(c). Solve -5*t + 31 = -4*k, 5*k - 4*t = -n*t - 23 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let h(m) = -m**3 - 16*m**2 - 27*m + 13. Let r be h(-14). Let z(k) = 9*k + 1. Let g(t) = t. Let q(u) = -5*g(u) + z(u). Calculate q(r).\n' | b'-3\n' | b'Let h(m) = -m**3 - 16*m**2 - 27*m + 13. Let r be h(-14). Let z(k) = 9*k + 1. Let g(t) = t. Let q(u) = -5*g(u) + z(u). Calculate q(r).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -2*b + b = -i + 1, -4*b + 5*i - 7 = 0. Suppose -l + 9 = b*l. Let p(o) = 16*o - 12*o - 5*o. What is p(l)?\n' | b'-3\n' | b'Suppose -2*b + b = -i + 1, -4*b + 5*i - 7 = 0. Suppose -l + 9 = b*l. Let p(o) = 16*o - 12*o - 5*o. What is p(l)?\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, q: 1, j: 1, v: 2}. What is prob of picking 1 v and 1 q?\n' | b'2/15\n' | b'Two letters picked without replacement from {b: 2, q: 1, j: 1, v: 2}. What is prob of picking 1 v and 1 q?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let d(g) = g**3 + 8*g**2 + 6*g - 5. Let v be d(-7). What is the third derivative of -16*q**2 + v*q**3 - 2*q**3 + 14*q**2 + 7*q**4 wrt q?\n' | b'168*q\n' | b'Let d(g) = g**3 + 8*g**2 + 6*g - 5. Let v be d(-7). What is the third derivative of -16*q**2 + v*q**3 - 2*q**3 + 14*q**2 + 7*q**4 wrt q?\n' | b'168*q\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ghggbbbgbg. What is prob of picking 1 g and 1 b?\n' | b'4/9\n' | b'Two letters picked without replacement from ghggbbbgbg. What is prob of picking 1 g and 1 b?\n' | b'4/9\n' | deepmind/math_dataset |
b'Let j(r) be the first derivative of 9 + 7/6*r**3 - 2*r**2 - 8*r - 1/12*r**4. Let k(x) be the first derivative of j(x). Determine k(6).\n' | b'2\n' | b'Let j(r) be the first derivative of 9 + 7/6*r**3 - 2*r**2 - 8*r - 1/12*r**4. Let k(x) be the first derivative of j(x). Determine k(6).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ymmmmmommmmmym. What is prob of picking 2 y and 1 o?\n' | b'1/364\n' | b'Three letters picked without replacement from ymmmmmommmmmym. What is prob of picking 2 y and 1 o?\n' | b'1/364\n' | deepmind/math_dataset |
b'Suppose -o + 5*o = 0. Suppose -8*n + 3*n = o. Let g(d) = -7*d**2 - 6*d - 6. Let z(t) = t**2 + t. Let m(p) = -g(p) - 6*z(p). What is m(n)?\n' | b'6\n' | b'Suppose -o + 5*o = 0. Suppose -8*n + 3*n = o. Let g(d) = -7*d**2 - 6*d - 6. Let z(t) = t**2 + t. Let m(p) = -g(p) - 6*z(p). What is m(n)?\n' | b'6\n' | deepmind/math_dataset |
b'Let j(s) = -4*s**2 - 10*s + 9. Let x(b) = -5*b**2 - 11*b + 10. Let r(t) = -6*j(t) + 5*x(t). Let f be 1/4 - (-1107)/36. Suppose 15 = -f*h + 34*h. What is r(h)?\n' | b'-4\n' | b'Let j(s) = -4*s**2 - 10*s + 9. Let x(b) = -5*b**2 - 11*b + 10. Let r(t) = -6*j(t) + 5*x(t). Let f be 1/4 - (-1107)/36. Suppose 15 = -f*h + 34*h. What is r(h)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(z) = 2*z - 5. Let f(b) = 3*b - 10*b - 3*b - b**2 - 10. Let u be f(-8). Calculate o(u).\n' | b'7\n' | b'Let o(z) = 2*z - 5. Let f(b) = 3*b - 10*b - 3*b - b**2 - 10. Let u be f(-8). Calculate o(u).\n' | b'7\n' | deepmind/math_dataset |
b'Let r(h) = -2*h - 5 + h + 2*h. Suppose -6*x + 16 = -2*x, v - 5*x + 14 = 0. Let n = v - 3. What is r(n)?\n' | b'-2\n' | b'Let r(h) = -2*h - 5 + h + 2*h. Suppose -6*x + 16 = -2*x, v - 5*x + 14 = 0. Let n = v - 3. What is r(n)?\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dkkdkkddddd. Give prob of picking 3 d and 1 k.\n' | b'14/33\n' | b'Four letters picked without replacement from dkkdkkddddd. Give prob of picking 3 d and 1 k.\n' | b'14/33\n' | deepmind/math_dataset |
b'Find the first derivative of 39 + 21 - 39*t + 40 + 29 wrt t.\n' | b'-39\n' | b'Find the first derivative of 39 + 21 - 39*t + 40 + 29 wrt t.\n' | b'-39\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, d: 1, f: 1, p: 1, y: 1, s: 2}. What is prob of sequence fm?\n' | b'1/28\n' | b'Two letters picked without replacement from {m: 2, d: 1, f: 1, p: 1, y: 1, s: 2}. What is prob of sequence fm?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify g**(-2/3)*(g/(g**2*g*g))/g assuming g is positive.\n' | b'g**(-14/3)\n' | b'Simplify g**(-2/3)*(g/(g**2*g*g))/g assuming g is positive.\n' | b'g**(-14/3)\n' | deepmind/math_dataset |
b'Let i(w) = w + 13. Let p be i(-8). What is the second derivative of 34*k**5 + 0*k - 3*k - 18 + 0*k + k**2 - 40*k**p + 2*k**2 wrt k?\n' | b'-120*k**3 + 6\n' | b'Let i(w) = w + 13. Let p be i(-8). What is the second derivative of 34*k**5 + 0*k - 3*k - 18 + 0*k + k**2 - 40*k**p + 2*k**2 wrt k?\n' | b'-120*k**3 + 6\n' | deepmind/math_dataset |
b'Let w be 2/(-5) - (-135)/25. Suppose 7 = z - b, 3*z - w*b - 25 = -0*b. Solve z*s = 15, 0 = -v - 4*s + 7 + 2 for v.\n' | b'-3\n' | b'Let w be 2/(-5) - (-135)/25. Suppose 7 = z - b, 3*z - w*b - 25 = -0*b. Solve z*s = 15, 0 = -v - 4*s + 7 + 2 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iaaaaaaaiaiaaaaaaa. What is prob of picking 3 a?\n' | b'455/816\n' | b'Three letters picked without replacement from iaaaaaaaiaiaaaaaaa. What is prob of picking 3 a?\n' | b'455/816\n' | deepmind/math_dataset |
b'Let u(t) = t**3 - 4*t**2 + 3. Let y(v) = v**3 - 12*v**2 + 20*v + 4. Let d be y(10). Determine u(d).\n' | b'3\n' | b'Let u(t) = t**3 - 4*t**2 + 3. Let y(v) = v**3 - 12*v**2 + 20*v + 4. Let d be y(10). Determine u(d).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbziziriifzfyfrizzzr. What is prob of sequence ir?\n' | b'3/76\n' | b'Two letters picked without replacement from bbziziriifzfyfrizzzr. What is prob of sequence ir?\n' | b'3/76\n' | deepmind/math_dataset |
b'Let d(z) = z**2 - 97*z - 732. Let s be d(104). Let y(j) = j**3 + 6*j**2 + 2*j - 2. What is y(s)?\n' | b'22\n' | b'Let d(z) = z**2 - 97*z - 732. Let s be d(104). Let y(j) = j**3 + 6*j**2 + 2*j - 2. What is y(s)?\n' | b'22\n' | deepmind/math_dataset |
b'Let t(u) = -5*u**3 + 4*u - 6. Let v be 40/5 + (2 - -1). Let w(k) = -9*k**3 + 7*k - 11. Let y(l) = v*t(l) - 6*w(l). What is the second derivative of y(m) wrt m?\n' | b'-6*m\n' | b'Let t(u) = -5*u**3 + 4*u - 6. Let v be 40/5 + (2 - -1). Let w(k) = -9*k**3 + 7*k - 11. Let y(l) = v*t(l) - 6*w(l). What is the second derivative of y(m) wrt m?\n' | b'-6*m\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 3, j: 4, h: 2}. Give prob of sequence jhj.\n' | b'1/21\n' | b'Three letters picked without replacement from {a: 3, j: 4, h: 2}. Give prob of sequence jhj.\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jxkxg. What is prob of sequence xj?\n' | b'1/10\n' | b'Two letters picked without replacement from jxkxg. What is prob of sequence xj?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 0 = -37*g + 39*g - 310. What is the second derivative of 45*d**2 + 3*d - 4*d - 1 - g*d**2 + 5*d wrt d?\n' | b'-220\n' | b'Suppose 0 = -37*g + 39*g - 310. What is the second derivative of 45*d**2 + 3*d - 4*d - 1 - g*d**2 + 5*d wrt d?\n' | b'-220\n' | deepmind/math_dataset |
b'Suppose 3*u - n = -0*n + 1, -4*u + 5 = -5*n. Let y(v) = -3 - v**2 + u*v**2 + 13 - v**3 - 7 + 2*v. Suppose -5*i - 24 = 2*c, 2*c - 6 = -c + 3*i. Give y(c).\n' | b'3\n' | b'Suppose 3*u - n = -0*n + 1, -4*u + 5 = -5*n. Let y(v) = -3 - v**2 + u*v**2 + 13 - v**3 - 7 + 2*v. Suppose -5*i - 24 = 2*c, 2*c - 6 = -c + 3*i. Give y(c).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddhhhddphdhdp. What is prob of picking 2 p and 1 h?\n' | b'5/286\n' | b'Three letters picked without replacement from ddhhhddphdhdp. What is prob of picking 2 p and 1 h?\n' | b'5/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 4, s: 1, w: 3, n: 6, m: 1}.\n' | b'4/105\n' | b'Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 4, s: 1, w: 3, n: 6, m: 1}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jvjjjjjmjjjmjjvjjjjm. What is prob of picking 1 v and 2 j?\n' | b'7/38\n' | b'Three letters picked without replacement from jvjjjjjmjjjmjjvjjjjm. What is prob of picking 1 v and 2 j?\n' | b'7/38\n' | deepmind/math_dataset |
b'What is prob of picking 4 l when four letters picked without replacement from {n: 7, l: 4}?\n' | b'1/330\n' | b'What is prob of picking 4 l when four letters picked without replacement from {n: 7, l: 4}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Calculate prob of sequence srso when four letters picked without replacement from {s: 2, o: 9, r: 2}.\n' | b'3/1430\n' | b'Calculate prob of sequence srso when four letters picked without replacement from {s: 2, o: 9, r: 2}.\n' | b'3/1430\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 e, and 2 i when four letters picked without replacement from fjeeekfkeeeieifjieii.\n' | b'16/323\n' | b'Calculate prob of picking 1 f, 1 e, and 2 i when four letters picked without replacement from fjeeekfkeeeieifjieii.\n' | b'16/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 5, f: 1, k: 2, h: 5, s: 3}. Give prob of picking 3 n and 1 s.\n' | b'3/182\n' | b'Four letters picked without replacement from {n: 5, f: 1, k: 2, h: 5, s: 3}. Give prob of picking 3 n and 1 s.\n' | b'3/182\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 z when two letters picked without replacement from zznqqqvnzzr?\n' | b'4/55\n' | b'What is prob of picking 1 v and 1 z when two letters picked without replacement from zznqqqvnzzr?\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify ((x/(x/(x/(x**(-13)*x))))/x**(-6))**(7/5) assuming x is positive.\n' | b'x**(133/5)\n' | b'Simplify ((x/(x/(x/(x**(-13)*x))))/x**(-6))**(7/5) assuming x is positive.\n' | b'x**(133/5)\n' | deepmind/math_dataset |
b'What is prob of sequence xf when two letters picked without replacement from {f: 2, x: 2, v: 1}?\n' | b'1/5\n' | b'What is prob of sequence xf when two letters picked without replacement from {f: 2, x: 2, v: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify f**(2/31)/(f*f**(-3))*f*f*f**(-2)/f*f*f**(-8) assuming f is positive.\n' | b'f**(-184/31)\n' | b'Simplify f**(2/31)/(f*f**(-3))*f*f*f**(-2)/f*f*f**(-8) assuming f is positive.\n' | b'f**(-184/31)\n' | deepmind/math_dataset |
b'Simplify (k**(-8)*k**(-8/3)*k**(-9/4)*k**(-13))**(-5) assuming k is positive.\n' | b'k**(1555/12)\n' | b'Simplify (k**(-8)*k**(-8/3)*k**(-9/4)*k**(-13))**(-5) assuming k is positive.\n' | b'k**(1555/12)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from peelpepl. Give prob of sequence pll.\n' | b'1/56\n' | b'Three letters picked without replacement from peelpepl. Give prob of sequence pll.\n' | b'1/56\n' | deepmind/math_dataset |
b'What is prob of sequence iq when two letters picked without replacement from iqqri?\n' | b'1/5\n' | b'What is prob of sequence iq when two letters picked without replacement from iqqri?\n' | b'1/5\n' | deepmind/math_dataset |
b'Calculate prob of sequence aqq when three letters picked without replacement from {w: 1, q: 5, m: 1, j: 7, a: 2}.\n' | b'1/84\n' | b'Calculate prob of sequence aqq when three letters picked without replacement from {w: 1, q: 5, m: 1, j: 7, a: 2}.\n' | b'1/84\n' | deepmind/math_dataset |
b'Suppose -4*x + 2 = -14. Suppose -4*k = -12 + 4. Suppose -k*t + 8 = x. Let j(s) = s**2 - s + 1. What is j(t)?\n' | b'3\n' | b'Suppose -4*x + 2 = -14. Suppose -4*k = -12 + 4. Suppose -k*t + 8 = x. Let j(s) = s**2 - s + 1. What is j(t)?\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i when two letters picked without replacement from tistytyitby.\n' | b'1/55\n' | b'Calculate prob of picking 2 i when two letters picked without replacement from tistytyitby.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let a(p) = 9*p**3 - 7*p**2 + 9*p + 7. Let i(k) = -5*k**3 + 3*k**2 - 4*k - 3. Let f(m) = 3*a(m) + 7*i(m). Find the second derivative of f(l) wrt l.\n' | b'-48*l\n' | b'Let a(p) = 9*p**3 - 7*p**2 + 9*p + 7. Let i(k) = -5*k**3 + 3*k**2 - 4*k - 3. Let f(m) = 3*a(m) + 7*i(m). Find the second derivative of f(l) wrt l.\n' | b'-48*l\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttttttttttttittttttt. What is prob of picking 2 i?\n' | b'0\n' | b'Two letters picked without replacement from ttttttttttttittttttt. What is prob of picking 2 i?\n' | b'0\n' | deepmind/math_dataset |
b'Let p(u) = -u**3 - 7*u**2 - 5*u + 6. Let x be p(-6). Let j be 1/(-3)*x - -6. Find the third derivative of 0*m**2 - 4*m**2 + 3*m**j + m**2 wrt m.\n' | b'360*m**3\n' | b'Let p(u) = -u**3 - 7*u**2 - 5*u + 6. Let x be p(-6). Let j be 1/(-3)*x - -6. Find the third derivative of 0*m**2 - 4*m**2 + 3*m**j + m**2 wrt m.\n' | b'360*m**3\n' | deepmind/math_dataset |
b'Let v be -1*((-124)/6)/((-14)/(-21)). Suppose -4*f + v = 23. Solve -5*o + f*d = 33, 0*d + d - 9 = o for o.\n' | b'-5\n' | b'Let v be -1*((-124)/6)/((-14)/(-21)). Suppose -4*f + v = 23. Solve -5*o + f*d = 33, 0*d + d - 9 = o for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 6, n: 5, x: 4}. What is prob of picking 2 n and 1 x?\n' | b'8/91\n' | b'Three letters picked without replacement from {k: 6, n: 5, x: 4}. What is prob of picking 2 n and 1 x?\n' | b'8/91\n' | deepmind/math_dataset |
b'Suppose -2*b + 5*c = c, -3*b - 20 = 4*c. Let n be (20/b + 5)/(-2). Solve 4*a + n*a = -3*p + 3, p + 5*a = 12 for p.\n' | b'-3\n' | b'Suppose -2*b + 5*c = c, -3*b - 20 = 4*c. Let n be (20/b + 5)/(-2). Solve 4*a + n*a = -3*p + 3, p + 5*a = 12 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Let s(i) be the second derivative of -29*i + 0 + 3*i**2 - 1/2*i**3. Calculate s(4).\n' | b'-6\n' | b'Let s(i) be the second derivative of -29*i + 0 + 3*i**2 - 1/2*i**3. Calculate s(4).\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(q) be the second derivative of -2*q**5 - 11*q**3/3 - 39*q. Find the second derivative of a(r) wrt r.\n' | b'-240*r\n' | b'Let a(q) be the second derivative of -2*q**5 - 11*q**3/3 - 39*q. Find the second derivative of a(r) wrt r.\n' | b'-240*r\n' | deepmind/math_dataset |
b'Let i(w) be the third derivative of w**6/120 + w**5/60 - w**4/12 + w**2. Let d be i(2). Solve 0 = -u - 2*l + 5*l + d, 5*u + 8 = -l for u.\n' | b'-1\n' | b'Let i(w) be the third derivative of w**6/120 + w**5/60 - w**4/12 + w**2. Let d be i(2). Solve 0 = -u - 2*l + 5*l + d, 5*u + 8 = -l for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*l = -4*k - 0*l + 16, -5*k + l + 20 = 0. Suppose 1 = -h + 3. What is the second derivative of 2*u - k*u + 2*u - 2*u**h - u wrt u?\n' | b'-4\n' | b'Suppose -2*l = -4*k - 0*l + 16, -5*k + l + 20 = 0. Suppose 1 = -h + 3. What is the second derivative of 2*u - k*u + 2*u - 2*u**h - u wrt u?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (c**(3/8)*c**(2/15))/(c/(c*c**(-1/5))*c*c**(1/2))*(c**4*c**(-7)*c)/((c**(-8)*c)/c*((c/c**(-1/6))/c)/c) assuming c is positive.\n' | b'c**(677/120)\n' | b'Simplify (c**(3/8)*c**(2/15))/(c/(c*c**(-1/5))*c*c**(1/2))*(c**4*c**(-7)*c)/((c**(-8)*c)/c*((c/c**(-1/6))/c)/c) assuming c is positive.\n' | b'c**(677/120)\n' | deepmind/math_dataset |
b'Let z(x) = x**3 - 4*x**2 + 2*x - 4. Let s be z(4). Suppose -s*m - 7 = -43. Solve 0 = v - 4*r + 21, -v + 0*v = 2*r - m for v.\n' | b'-1\n' | b'Let z(x) = x**3 - 4*x**2 + 2*x - 4. Let s be z(4). Suppose -s*m - 7 = -43. Solve 0 = v - 4*r + 21, -v + 0*v = 2*r - m for v.\n' | b'-1\n' | deepmind/math_dataset |
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