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 r(p) = p**3 - 2*p**2 + 6*p - 5. Let j be r(3). Solve 2*w - w + j = 4*f, w = 5*f - 27 for w.\n' | b'-2\n' | b'Let r(p) = p**3 - 2*p**2 + 6*p - 5. Let j be r(3). Solve 2*w - w + j = 4*f, w = 5*f - 27 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(i) be the third derivative of 2*i**7/35 - 17*i**4/24 - 17*i**2. What is the second derivative of o(z) wrt z?\n' | b'144*z**2\n' | b'Let o(i) be the third derivative of 2*i**7/35 - 17*i**4/24 - 17*i**2. What is the second derivative of o(z) wrt z?\n' | b'144*z**2\n' | deepmind/math_dataset |
b'Let u be ((-15)/25)/(2/(-70)). Let l = 39 - u. Let a = l + -16. Let w(s) = -s**2 + s. Calculate w(a).\n' | b'-2\n' | b'Let u be ((-15)/25)/(2/(-70)). Let l = 39 - u. Let a = l + -16. Let w(s) = -s**2 + s. Calculate w(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(u) = -151*u - u**2 - 151*u - 12*u**3 - 3*u**3 + 303*u. Give s(1).\n' | b'-15\n' | b'Let s(u) = -151*u - u**2 - 151*u - 12*u**3 - 3*u**3 + 303*u. Give s(1).\n' | b'-15\n' | deepmind/math_dataset |
b'Let x(o) = 2*o - 4. Let d be x(5). Let v = -4 + d. Suppose -v = -2*u, 2*n - u + 4*u - 13 = 0. Solve 4*r = -t - 2, t - n*r = -4*t - 10 for t.\n' | b'-2\n' | b'Let x(o) = 2*o - 4. Let d be x(5). Let v = -4 + d. Suppose -v = -2*u, 2*n - u + 4*u - 13 = 0. Solve 4*r = -t - 2, t - n*r = -4*t - 10 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -5*d = j - 5, 0*d = -5*j - 2*d + 71. Suppose 4*v - 1 = j. Suppose 3*l - v - 38 = 0. Solve -3*y = 4*t - l, -4*t = -3*t - 5 for y.\n' | b'-2\n' | b'Suppose -5*d = j - 5, 0*d = -5*j - 2*d + 71. Suppose 4*v - 1 = j. Suppose 3*l - v - 38 = 0. Solve -3*y = 4*t - l, -4*t = -3*t - 5 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(q) = q**2 + 42*q - 88. Let g be o(-44). Solve -l = -5*t - 8 - 10, g = -l - t for l.\n' | b'3\n' | b'Let o(q) = q**2 + 42*q - 88. Let g be o(-44). Solve -l = -5*t - 8 - 10, g = -l - t for l.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 13, n: 5}. Give prob of sequence vn.\n' | b'65/306\n' | b'Two letters picked without replacement from {v: 13, n: 5}. Give prob of sequence vn.\n' | b'65/306\n' | deepmind/math_dataset |
b'Let x(m) = -3*m + 6. Let k be x(4). Let i be k/18*(-5 - 1). Solve 17 = 5*w - 3*p, -2*p - 2*p + 12 = i*w for w.\n' | b'4\n' | b'Let x(m) = -3*m + 6. Let k be x(4). Let i be k/18*(-5 - 1). Solve 17 = 5*w - 3*p, -2*p - 2*p + 12 = i*w for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (s/(s*s/(s/(s**(1/2)*s)))*s)**16*(s**(-1/3))**(-6/35) assuming s is positive.\n' | b's**(-278/35)\n' | b'Simplify (s/(s*s/(s/(s**(1/2)*s)))*s)**16*(s**(-1/3))**(-6/35) assuming s is positive.\n' | b's**(-278/35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffffffgf. Give prob of sequence fg.\n' | b'1/8\n' | b'Two letters picked without replacement from ffffffgf. Give prob of sequence fg.\n' | b'1/8\n' | deepmind/math_dataset |
b'Let x(r) = 6*r**3 - 3*r**2 + 5*r - 8. Let w be x(2). Let p = 34 - w. Let q be (252/(-90))/(p/10). Solve 5*t - 3*m = -q, 8 = m + m for t.\n' | b'1\n' | b'Let x(r) = 6*r**3 - 3*r**2 + 5*r - 8. Let w be x(2). Let p = 34 - w. Let q be (252/(-90))/(p/10). Solve 5*t - 3*m = -q, 8 = m + m for t.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 i when three letters picked without replacement from phip.\n' | b'1/4\n' | b'Calculate prob of picking 2 p and 1 i when three letters picked without replacement from phip.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let n be 8/(-6)*27/(-18). Solve -5*d - 8 = -2*b, 0 = b + n*b - 3*d - 12 for b.\n' | b'4\n' | b'Let n be 8/(-6)*27/(-18). Solve -5*d - 8 = -2*b, 0 = b + n*b - 3*d - 12 for b.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(l) = -5*l + 4. Let b(s) = -4*s + 4. Let o(c) = -6*b(c) + 5*n(c). Suppose y + 3 = -5*t, t - 6*t + 5*y + 15 = 0. Determine o(t).\n' | b'-4\n' | b'Let n(l) = -5*l + 4. Let b(s) = -4*s + 4. Let o(c) = -6*b(c) + 5*n(c). Suppose y + 3 = -5*t, t - 6*t + 5*y + 15 = 0. Determine o(t).\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(t) be the second derivative of 5/2*t**2 - 53 - 2*t - 2/3*t**3. Give s(2).\n' | b'-3\n' | b'Let s(t) be the second derivative of 5/2*t**2 - 53 - 2*t - 2/3*t**3. Give s(2).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((((i*i*i**(-2/15)*i*i)/i)/(i*i**(1/19)*i))**(18/11))**(32/7) assuming i is positive.\n' | b'i**(44544/7315)\n' | b'Simplify ((((i*i*i**(-2/15)*i*i)/i)/(i*i**(1/19)*i))**(18/11))**(32/7) assuming i is positive.\n' | b'i**(44544/7315)\n' | deepmind/math_dataset |
b'Simplify ((t/((t/t**1)/t))/t*(t*t/t**6)/t*(t*t**1/t)**(-11/6))/((t**(-1/2))**44)**(-16) assuming t is positive.\n' | b't**(-2147/6)\n' | b'Simplify ((t/((t/t**1)/t))/t*(t*t/t**6)/t*(t*t**1/t)**(-11/6))/((t**(-1/2))**44)**(-16) assuming t is positive.\n' | b't**(-2147/6)\n' | deepmind/math_dataset |
b'Let q(d) = -4 + 1 + 2*d**2 + 4 - d - 3. Suppose -8*g + 12*g = -12. Calculate q(g).\n' | b'19\n' | b'Let q(d) = -4 + 1 + 2*d**2 + 4 - d - 3. Suppose -8*g + 12*g = -12. Calculate q(g).\n' | b'19\n' | deepmind/math_dataset |
b'Two letters picked without replacement from malmmaamsacacaaam. Give prob of picking 1 l and 1 s.\n' | b'1/136\n' | b'Two letters picked without replacement from malmmaamsacacaaam. Give prob of picking 1 l and 1 s.\n' | b'1/136\n' | deepmind/math_dataset |
b'Simplify (x**20/(x/(x*x*x*x**(22/5)*x)))/((x/(x/(x*x*x/(x**(1/6)*x))))/((x**(-1)/x)/x)) assuming x is positive.\n' | b'x**(677/30)\n' | b'Simplify (x**20/(x/(x*x*x*x**(22/5)*x)))/((x/(x/(x*x*x/(x**(1/6)*x))))/((x**(-1)/x)/x)) assuming x is positive.\n' | b'x**(677/30)\n' | deepmind/math_dataset |
b'Simplify (u/u**(-2/7))**(7/4) assuming u is positive.\n' | b'u**(9/4)\n' | b'Simplify (u/u**(-2/7))**(7/4) assuming u is positive.\n' | b'u**(9/4)\n' | deepmind/math_dataset |
b'Suppose 2*i + 5*l - 55 = 0, 5*i + l = i + 65. Let f be (i/7 - 3)/(3/(-14)). Let o(d) be the first derivative of d**4/4 - d**3 - 4*d - 20. Determine o(f).\n' | b'12\n' | b'Suppose 2*i + 5*l - 55 = 0, 5*i + l = i + 65. Let f be (i/7 - 3)/(3/(-14)). Let o(d) be the first derivative of d**4/4 - d**3 - 4*d - 20. Determine o(f).\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccaa when four letters picked without replacement from accacacccccc.\n' | b'2/55\n' | b'Calculate prob of sequence ccaa when four letters picked without replacement from accacacccccc.\n' | b'2/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from gaoaroahrqr?\n' | b'3/55\n' | b'What is prob of picking 2 a when two letters picked without replacement from gaoaroahrqr?\n' | b'3/55\n' | deepmind/math_dataset |
b'Let x(g) = -g**2 + 649752 - 1299510 - g + 649759. Let h = -7 - -1. Determine x(h).\n' | b'-29\n' | b'Let x(g) = -g**2 + 649752 - 1299510 - g + 649759. Let h = -7 - -1. Determine x(h).\n' | b'-29\n' | deepmind/math_dataset |
b'Simplify (s**0)**13*(s**(-2/7))**(-46) assuming s is positive.\n' | b's**(92/7)\n' | b'Simplify (s**0)**13*(s**(-2/7))**(-46) assuming s is positive.\n' | b's**(92/7)\n' | deepmind/math_dataset |
b'Let n(t) = -t**2 + 2*t - 2. Let f be 1*(0 + 5)*-3. Let q be 2 - (21/f + (-4)/(-10)). Calculate n(q).\n' | b'-5\n' | b'Let n(t) = -t**2 + 2*t - 2. Let f be 1*(0 + 5)*-3. Let q be 2 - (21/f + (-4)/(-10)). Calculate n(q).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 5, r: 7, m: 4, c: 3}. What is prob of picking 2 r?\n' | b'7/57\n' | b'Two letters picked without replacement from {h: 5, r: 7, m: 4, c: 3}. What is prob of picking 2 r?\n' | b'7/57\n' | deepmind/math_dataset |
b'Simplify ((w*w/((w*w*w/(w*(w**(1/4)/w)/w)*w)/w))**(7/3)*(w**(-2))**16)**(-34) assuming w is positive.\n' | b'w**(7361/6)\n' | b'Simplify ((w*w/((w*w*w/(w*(w**(1/4)/w)/w)*w)/w))**(7/3)*(w**(-2))**16)**(-34) assuming w is positive.\n' | b'w**(7361/6)\n' | deepmind/math_dataset |
b'Let h = 569 + -566. Solve -1 = -h*q + c, 0 = -3*q - 0*c - c - 7 for q.\n' | b'-1\n' | b'Let h = 569 + -566. Solve -1 = -h*q + c, 0 = -3*q - 0*c - c - 7 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 2 h, and 1 y when four letters picked without replacement from {y: 1, v: 4, g: 9, h: 4, j: 1}.\n' | b'2/323\n' | b'Calculate prob of picking 1 v, 2 h, and 1 y when four letters picked without replacement from {y: 1, v: 4, g: 9, h: 4, j: 1}.\n' | b'2/323\n' | deepmind/math_dataset |
b'Suppose 1 = 2*o - 9. Suppose 4*d = -3*m - 11, 4*d + 15 = -o. Suppose -5*n = -0*n - 15. Solve -9 = -2*h - m*c, -h + c + 0 = n for h.\n' | b'0\n' | b'Suppose 1 = 2*o - 9. Suppose 4*d = -3*m - 11, 4*d + 15 = -o. Suppose -5*n = -0*n - 15. Solve -9 = -2*h - m*c, -h + c + 0 = n for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(t) be the first derivative of -6*t**3 - 21*t + 10. What is the first derivative of m(b) wrt b?\n' | b'-36*b\n' | b'Let m(t) be the first derivative of -6*t**3 - 21*t + 10. What is the first derivative of m(b) wrt b?\n' | b'-36*b\n' | deepmind/math_dataset |
b'Let b = 300 + -295. Solve i + 2*i + 4 = b*y, y - 6 = -2*i for y.\n' | b'2\n' | b'Let b = 300 + -295. Solve i + 2*i + 4 = b*y, y - 6 = -2*i for y.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xfxpccxccfcxfccx. Give prob of sequence xxfx.\n' | b'3/728\n' | b'Four letters picked without replacement from xfxpccxccfcxfccx. Give prob of sequence xxfx.\n' | b'3/728\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, r: 2, q: 3, w: 3, y: 1, x: 2}. Give prob of picking 1 w, 1 x, and 1 y.\n' | b'3/110\n' | b'Three letters picked without replacement from {m: 1, r: 2, q: 3, w: 3, y: 1, x: 2}. Give prob of picking 1 w, 1 x, and 1 y.\n' | b'3/110\n' | deepmind/math_dataset |
b'Simplify ((v*v*v*v**2*v*v)/(v*v**(-2/17)*v))/(v**(1/2)/v**(2/3))*v*(v/(v*v*v*v*v**1*v))/v*v**7/v*v*v*((v*v*v*v**0*v)/v*v)**2 assuming v is positive.\n' | b'v**(1661/102)\n' | b'Simplify ((v*v*v*v**2*v*v)/(v*v**(-2/17)*v))/(v**(1/2)/v**(2/3))*v*(v/(v*v*v*v*v**1*v))/v*v**7/v*v*v*((v*v*v*v**0*v)/v*v)**2 assuming v is positive.\n' | b'v**(1661/102)\n' | deepmind/math_dataset |
b'What is prob of picking 3 o when three letters picked without replacement from ooo?\n' | b'1\n' | b'What is prob of picking 3 o when three letters picked without replacement from ooo?\n' | b'1\n' | deepmind/math_dataset |
b'What is the second derivative of 3*q**2 + 93*q - 23*q + 15*q**3 + 0*q**2 wrt q?\n' | b'90*q + 6\n' | b'What is the second derivative of 3*q**2 + 93*q - 23*q + 15*q**3 + 0*q**2 wrt q?\n' | b'90*q + 6\n' | deepmind/math_dataset |
b'Suppose 9*b = 4*b - 150. Let i = -14 - b. Let q be ((-3)/(-4))/(4/i). Solve 2*p + 4*v + 0*v = 6, 0 = -q*p + v - 19 for p.\n' | b'-5\n' | b'Suppose 9*b = 4*b - 150. Let i = -14 - b. Let q be ((-3)/(-4))/(4/i). Solve 2*p + 4*v + 0*v = 6, 0 = -q*p + v - 19 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose n + 50 = -9*n. Let x(h) = 3 - 3*h**2 - 28*h + 4*h**2 - 22*h + 3 + 57*h. What is x(n)?\n' | b'-4\n' | b'Suppose n + 50 = -9*n. Let x(h) = 3 - 3*h**2 - 28*h + 4*h**2 - 22*h + 3 + 57*h. What is x(n)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((f**1/f)/f)/f*f**(-1/11)*f/(f*f/((((f**(1/5)/f)/f)/f)/f))*f*f**(-1/10)*(f**(-1/4))**(-29)*f**(1/2)*f**(7/2) assuming f is positive.\n' | b'f**(1157/220)\n' | b'Simplify ((f**1/f)/f)/f*f**(-1/11)*f/(f*f/((((f**(1/5)/f)/f)/f)/f))*f*f**(-1/10)*(f**(-1/4))**(-29)*f**(1/2)*f**(7/2) assuming f is positive.\n' | b'f**(1157/220)\n' | deepmind/math_dataset |
b'Suppose 5*f + c = 21, 2*f - 8 = 5*c + 22. Find the first derivative of f - 331*n + 331*n + 10 - 3*n**3 wrt n.\n' | b'-9*n**2\n' | b'Suppose 5*f + c = 21, 2*f - 8 = 5*c + 22. Find the first derivative of f - 331*n + 331*n + 10 - 3*n**3 wrt n.\n' | b'-9*n**2\n' | deepmind/math_dataset |
b'Let m(o) = -14*o**2 - 4*o + 10. Let p(z) = -z**2 - 8*z + 9. Let a be p(-10). Let n(b) = -5*b**2 - b + 3. Let d(q) = a*n(q) + 4*m(q). Calculate d(-5).\n' | b'7\n' | b'Let m(o) = -14*o**2 - 4*o + 10. Let p(z) = -z**2 - 8*z + 9. Let a be p(-10). Let n(b) = -5*b**2 - b + 3. Let d(q) = a*n(q) + 4*m(q). Calculate d(-5).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 c, 1 q, and 1 y when four letters picked without replacement from qqcyxicsicyi.\n' | b'4/165\n' | b'Calculate prob of picking 1 s, 1 c, 1 q, and 1 y when four letters picked without replacement from qqcyxicsicyi.\n' | b'4/165\n' | deepmind/math_dataset |
b'What is prob of sequence jjj when three letters picked without replacement from bjbbbbbbbbbbbbbbbbb?\n' | b'0\n' | b'What is prob of sequence jjj when three letters picked without replacement from bjbbbbbbbbbbbbbbbbb?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (o**(-4)/o*(o*o*o**(6/5)/o*o)/o)/(o*o*o**14*o*o**(-19)) assuming o is positive.\n' | b'o**(-4/5)\n' | b'Simplify (o**(-4)/o*(o*o*o**(6/5)/o*o)/o)/(o*o*o**14*o*o**(-19)) assuming o is positive.\n' | b'o**(-4/5)\n' | deepmind/math_dataset |
b'Simplify (j**(-21/2))**(-44/7) assuming j is positive.\n' | b'j**66\n' | b'Simplify (j**(-21/2))**(-44/7) assuming j is positive.\n' | b'j**66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 3, t: 7, y: 9}. What is prob of picking 3 y?\n' | b'28/323\n' | b'Three letters picked without replacement from {c: 3, t: 7, y: 9}. What is prob of picking 3 y?\n' | b'28/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 5, p: 3, q: 5}. What is prob of picking 1 q and 1 s?\n' | b'25/78\n' | b'Two letters picked without replacement from {s: 5, p: 3, q: 5}. What is prob of picking 1 q and 1 s?\n' | b'25/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, a: 3, c: 2}. Give prob of sequence ca.\n' | b'1/12\n' | b'Two letters picked without replacement from {x: 4, a: 3, c: 2}. Give prob of sequence ca.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let f(p) be the third derivative of -p**7/70 - p**4/6 + 151*p**3/6 - 143*p**2. Differentiate f(v) wrt v.\n' | b'-12*v**3 - 4\n' | b'Let f(p) be the third derivative of -p**7/70 - p**4/6 + 151*p**3/6 - 143*p**2. Differentiate f(v) wrt v.\n' | b'-12*v**3 - 4\n' | deepmind/math_dataset |
b'Simplify f*f**(-3)*f**(1/3)/f*(f*(f**(-2)*f)/f*f)**(-43) assuming f is positive.\n' | b'f**(-8/3)\n' | b'Simplify f*f**(-3)*f**(1/3)/f*(f*(f**(-2)*f)/f*f)**(-43) assuming f is positive.\n' | b'f**(-8/3)\n' | deepmind/math_dataset |
b'Let f(o) = -12*o + 1065*o**2 - 1067*o**2 - o - o + o**3 + 7. Give f(-3).\n' | b'4\n' | b'Let f(o) = -12*o + 1065*o**2 - 1067*o**2 - o - o + o**3 + 7. Give f(-3).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((r**(2/57)/r)/(r*r**(21/5)*r))**26 assuming r is positive.\n' | b'r**(-53092/285)\n' | b'Simplify ((r**(2/57)/r)/(r*r**(21/5)*r))**26 assuming r is positive.\n' | b'r**(-53092/285)\n' | deepmind/math_dataset |
b'Suppose -11*w + 20 = -35. Let g(h) = -h**2 + 3*h + 4. What is g(w)?\n' | b'-6\n' | b'Suppose -11*w + 20 = -35. Let g(h) = -h**2 + 3*h + 4. What is g(w)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzzznzzznnlnzfz. Give prob of picking 2 n and 1 z.\n' | b'54/455\n' | b'Three letters picked without replacement from zzzznzzznnlnzfz. Give prob of picking 2 n and 1 z.\n' | b'54/455\n' | deepmind/math_dataset |
b'Suppose -5*j - 15 = 0, w - 4 + 0 = 2*j. Let a = w - -4. Suppose 0 = -2*o - o. Solve 0*y = a*m - 2*y, -m - 4*y + 5 = o for m.\n' | b'1\n' | b'Suppose -5*j - 15 = 0, w - 4 + 0 = 2*j. Let a = w - -4. Suppose 0 = -2*o - o. Solve 0*y = a*m - 2*y, -m - 4*y + 5 = o for m.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 d, and 1 g when three letters picked without replacement from {g: 2, j: 4, d: 1, t: 7, p: 2, w: 4}.\n' | b'2/285\n' | b'Calculate prob of picking 1 w, 1 d, and 1 g when three letters picked without replacement from {g: 2, j: 4, d: 1, t: 7, p: 2, w: 4}.\n' | b'2/285\n' | deepmind/math_dataset |
b'Suppose -t - 30 = -35. Let d(g) be the third derivative of 2/3*g**3 - 5/24*g**4 - 1/120*g**6 + 0*g + 4*g**2 + 0 + 7/60*g**t. Calculate d(6).\n' | b'10\n' | b'Suppose -t - 30 = -35. Let d(g) be the third derivative of 2/3*g**3 - 5/24*g**4 - 1/120*g**6 + 0*g + 4*g**2 + 0 + 7/60*g**t. Calculate d(6).\n' | b'10\n' | deepmind/math_dataset |
b'Let t(f) = -f**4 + 6*f + 2. Let r(j) = 4*j**4 - 19*j - 7. Let c be (-6)/(-4)*48/36. Let h(l) = c*r(l) + 7*t(l). What is the second derivative of h(u) wrt u?\n' | b'12*u**2\n' | b'Let t(f) = -f**4 + 6*f + 2. Let r(j) = 4*j**4 - 19*j - 7. Let c be (-6)/(-4)*48/36. Let h(l) = c*r(l) + 7*t(l). What is the second derivative of h(u) wrt u?\n' | b'12*u**2\n' | deepmind/math_dataset |
b'What is prob of sequence xpwv when four letters picked without replacement from {v: 1, w: 1, q: 1, r: 1, p: 1, x: 2}?\n' | b'1/420\n' | b'What is prob of sequence xpwv when four letters picked without replacement from {v: 1, w: 1, q: 1, r: 1, p: 1, x: 2}?\n' | b'1/420\n' | deepmind/math_dataset |
b'Simplify (((z/(z*z/((z/(z/(z**(-2/5)/z)))/z*z)))/z)**(3/2)*z**2/((z/z**(2/19))/z))**9 assuming z is positive.\n' | b'z**(-5121/190)\n' | b'Simplify (((z/(z*z/((z/(z/(z**(-2/5)/z)))/z*z)))/z)**(3/2)*z**2/((z/z**(2/19))/z))**9 assuming z is positive.\n' | b'z**(-5121/190)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jyp when three letters picked without replacement from ppxyijj.\n' | b'2/105\n' | b'Calculate prob of sequence jyp when three letters picked without replacement from ppxyijj.\n' | b'2/105\n' | deepmind/math_dataset |
b'Let f = 6 + -4. Find the third derivative of -n**5 - 2*n**f + 2*n**5 - 3*n**5 wrt n.\n' | b'-120*n**2\n' | b'Let f = 6 + -4. Find the third derivative of -n**5 - 2*n**f + 2*n**5 - 3*n**5 wrt n.\n' | b'-120*n**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aym. What is prob of picking 1 m and 1 a?\n' | b'1/3\n' | b'Two letters picked without replacement from aym. What is prob of picking 1 m and 1 a?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f).\n' | b'17\n' | b'Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f).\n' | b'17\n' | deepmind/math_dataset |
b'Simplify (f**4*f**(-10))/(f**(-3/4)/f**2) assuming f is positive.\n' | b'f**(-13/4)\n' | b'Simplify (f**4*f**(-10))/(f**(-3/4)/f**2) assuming f is positive.\n' | b'f**(-13/4)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 2 p, and 1 u when four letters picked without replacement from pppuvppvpvuvqqvs?\n' | b'3/182\n' | b'What is prob of picking 1 s, 2 p, and 1 u when four letters picked without replacement from pppuvppvpvuvqqvs?\n' | b'3/182\n' | deepmind/math_dataset |
b'Suppose -4*o - 34 = -2*j, -4*j + o + 4*o + 62 = 0. What is the third derivative of 81*g**2 + 167*g**2 - 59*g**2 + j*g**4 - 207*g**4 wrt g?\n' | b'-4656*g\n' | b'Suppose -4*o - 34 = -2*j, -4*j + o + 4*o + 62 = 0. What is the third derivative of 81*g**2 + 167*g**2 - 59*g**2 + j*g**4 - 207*g**4 wrt g?\n' | b'-4656*g\n' | deepmind/math_dataset |
b'Suppose -20*d = -15*d - 25. Suppose -s = 3*x - 7*x + 56, 0 = -x + 2*s + 7. Solve -9 = 4*i + 5*r + 6, 5*r = -d*i - x for i.\n' | b'0\n' | b'Suppose -20*d = -15*d - 25. Suppose -s = 3*x - 7*x + 56, 0 = -x + 2*s + 7. Solve -9 = 4*i + 5*r + 6, 5*r = -d*i - x for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(l) = 3*l**2 - 9*l - 6. Let v(c) = c**2 + 7*c**2 - 4*c**2 + 1 - 3*c**2. Let z(x) = -k(x) - 6*v(x). What is the second derivative of z(s) wrt s?\n' | b'-18\n' | b'Let k(l) = 3*l**2 - 9*l - 6. Let v(c) = c**2 + 7*c**2 - 4*c**2 + 1 - 3*c**2. Let z(x) = -k(x) - 6*v(x). What is the second derivative of z(s) wrt s?\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose -10*w + 32 = 6*w. Let g(i) = i + 8. Let h be g(-5). What is the third derivative of 13*l**w + 37*l + 9*l**h - 37*l wrt l?\n' | b'54\n' | b'Suppose -10*w + 32 = 6*w. Let g(i) = i + 8. Let h be g(-5). What is the third derivative of 13*l**w + 37*l + 9*l**h - 37*l wrt l?\n' | b'54\n' | deepmind/math_dataset |
b'Simplify (f**(-1))**(2/5)*f**(-6)*f*f**(-3/8)*f assuming f is positive.\n' | b'f**(-191/40)\n' | b'Simplify (f**(-1))**(2/5)*f**(-6)*f*f**(-3/8)*f assuming f is positive.\n' | b'f**(-191/40)\n' | deepmind/math_dataset |
b'Let p be -19 + 24 - (0 + 2). Suppose 5*k = 35 + 20. Find the second derivative of 5*b**5 - p*b**5 + 23*b - 11 + k wrt b.\n' | b'40*b**3\n' | b'Let p be -19 + 24 - (0 + 2). Suppose 5*k = 35 + 20. Find the second derivative of 5*b**5 - p*b**5 + 23*b - 11 + k wrt b.\n' | b'40*b**3\n' | deepmind/math_dataset |
b'Let h(m) = 27*m**3 + 2*m**2 + 5*m - 22. Let p(k) = -k**3 + 3*k**2 + 2*k. Let i(d) = -h(d) + 2*p(d). Find the second derivative of i(t) wrt t.\n' | b'-174*t + 8\n' | b'Let h(m) = 27*m**3 + 2*m**2 + 5*m - 22. Let p(k) = -k**3 + 3*k**2 + 2*k. Let i(d) = -h(d) + 2*p(d). Find the second derivative of i(t) wrt t.\n' | b'-174*t + 8\n' | deepmind/math_dataset |
b'Calculate prob of sequence nckl when four letters picked without replacement from icnpnlillilkki.\n' | b'2/3003\n' | b'Calculate prob of sequence nckl when four letters picked without replacement from icnpnlillilkki.\n' | b'2/3003\n' | deepmind/math_dataset |
b'Let z(u) = 2*u - 28. Let y = -1392 - -1406. Calculate z(y).\n' | b'0\n' | b'Let z(u) = 2*u - 28. Let y = -1392 - -1406. Calculate z(y).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence jg when two letters picked without replacement from jjgaggrgggggggg.\n' | b'11/105\n' | b'Calculate prob of sequence jg when two letters picked without replacement from jjgaggrgggggggg.\n' | b'11/105\n' | deepmind/math_dataset |
b'Simplify ((k/k**(-3/10))/(k/(k/k**(-16))))/(k**7/(k/(k**(-1)/k))) assuming k is positive.\n' | b'k**(133/10)\n' | b'Simplify ((k/k**(-3/10))/(k/(k/k**(-16))))/(k**7/(k/(k**(-1)/k))) assuming k is positive.\n' | b'k**(133/10)\n' | deepmind/math_dataset |
b'Let o(d) = d**2 - d. Let v be o(2). Suppose -3*p + 2*t + 100 = 0, p - v*p + 28 = 2*t. Differentiate 14*y**3 + 4 + 28*y**3 - p*y**3 with respect to y.\n' | b'30*y**2\n' | b'Let o(d) = d**2 - d. Let v be o(2). Suppose -3*p + 2*t + 100 = 0, p - v*p + 28 = 2*t. Differentiate 14*y**3 + 4 + 28*y**3 - p*y**3 with respect to y.\n' | b'30*y**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence nrm when three letters picked without replacement from krnmnkrknkznknr.\n' | b'1/182\n' | b'Calculate prob of sequence nrm when three letters picked without replacement from krnmnkrknkznknr.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let p be (-5)/1*(18 + -15). Let f(v) = 16*v + 235. Let a be f(p). Let n(i) = i**3 + 6*i**2 + 4*i - 7. Determine n(a).\n' | b'-2\n' | b'Let p be (-5)/1*(18 + -15). Let f(v) = 16*v + 235. Let a be f(p). Let n(i) = i**3 + 6*i**2 + 4*i - 7. Determine n(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(q) be the first derivative of 2484*q**5/5 + 537*q + 2916. Find the first derivative of d(i) wrt i.\n' | b'9936*i**3\n' | b'Let d(q) be the first derivative of 2484*q**5/5 + 537*q + 2916. Find the first derivative of d(i) wrt i.\n' | b'9936*i**3\n' | deepmind/math_dataset |
b'Suppose -10 = -2*s - 4. Find the second derivative of -2*j + s*j**2 - 3*j**2 - 3*j**4 + 4*j wrt j.\n' | b'-36*j**2\n' | b'Suppose -10 = -2*s - 4. Find the second derivative of -2*j + s*j**2 - 3*j**2 - 3*j**4 + 4*j wrt j.\n' | b'-36*j**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 6, m: 1, t: 4, l: 3, j: 3, y: 2}. What is prob of picking 1 y and 1 n?\n' | b'4/57\n' | b'Two letters picked without replacement from {n: 6, m: 1, t: 4, l: 3, j: 3, y: 2}. What is prob of picking 1 y and 1 n?\n' | b'4/57\n' | deepmind/math_dataset |
b'Suppose 4*z + 2*y - 7 + 1 = 0, 0 = 4*z - 2*y - 18. Let d(u) be the third derivative of -u**5/60 + u**4/8 - u**3/3 + u**2 + 15*u. Give d(z).\n' | b'-2\n' | b'Suppose 4*z + 2*y - 7 + 1 = 0, 0 = 4*z - 2*y - 18. Let d(u) be the third derivative of -u**5/60 + u**4/8 - u**3/3 + u**2 + 15*u. Give d(z).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((g*g**(-8)/g)/(g/(g*g**(-3/2)*g*g*g)))**24*(g**5*g/(g/g**7))/((g**(-2/3)/g)/g*(g*g/(g*(g/g**(-1/5))/g))/g*g) assuming g is positive.\n' | b'g**(-2132/15)\n' | b'Simplify ((g*g**(-8)/g)/(g/(g*g**(-3/2)*g*g*g)))**24*(g**5*g/(g/g**7))/((g**(-2/3)/g)/g*(g*g/(g*(g/g**(-1/5))/g))/g*g) assuming g is positive.\n' | b'g**(-2132/15)\n' | deepmind/math_dataset |
b'Let l(p) = -21*p - 2. Let q(i) = 1. Let j(c) = -41*c - 8. Let n(s) = j(s) + 3*q(s). Let w(r) = -13*l(r) + 6*n(r). What is the derivative of w(a) wrt a?\n' | b'27\n' | b'Let l(p) = -21*p - 2. Let q(i) = 1. Let j(c) = -41*c - 8. Let n(s) = j(s) + 3*q(s). Let w(r) = -13*l(r) + 6*n(r). What is the derivative of w(a) wrt a?\n' | b'27\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 4, h: 2}. What is prob of sequence heh?\n' | b'1/15\n' | b'Three letters picked without replacement from {e: 4, h: 2}. What is prob of sequence heh?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let z(j) = j**3 - 17*j**2 - 18*j - 4. Let g be z(18). Let p(h) be the first derivative of h**2/2 + 1. Give p(g).\n' | b'-4\n' | b'Let z(j) = j**3 - 17*j**2 - 18*j - 4. Let g be z(18). Let p(h) be the first derivative of h**2/2 + 1. Give p(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((j/(j**(-2/9)*j))/(j/(j/(j/(j**(-6)*j)))))/((j**17/j)/(j*j**(2/11)/j)))**(-11) assuming j is positive.\n' | b'j**(2138/9)\n' | b'Simplify (((j/(j**(-2/9)*j))/(j/(j/(j/(j**(-6)*j)))))/((j**17/j)/(j*j**(2/11)/j)))**(-11) assuming j is positive.\n' | b'j**(2138/9)\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from mummmmmmumuumm?\n' | b'6/91\n' | b'What is prob of picking 2 u when two letters picked without replacement from mummmmmmumuumm?\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify ((z/(z/(z/z**(-32))))**34)**(1/10) assuming z is positive.\n' | b'z**(561/5)\n' | b'Simplify ((z/(z/(z/z**(-32))))**34)**(1/10) assuming z is positive.\n' | b'z**(561/5)\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 d, and 1 l when three letters picked without replacement from {i: 3, d: 1, p: 4, l: 1, w: 4, e: 1}?\n' | b'1/91\n' | b'What is prob of picking 1 p, 1 d, and 1 l when three letters picked without replacement from {i: 3, d: 1, p: 4, l: 1, w: 4, e: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let u = -61 - -64. Find the second derivative of 3*x**u + 4*x - 19*x + 4*x**3 + 12*x**3 wrt x.\n' | b'114*x\n' | b'Let u = -61 - -64. Find the second derivative of 3*x**u + 4*x - 19*x + 4*x**3 + 12*x**3 wrt x.\n' | b'114*x\n' | deepmind/math_dataset |
b'Let k(j) = 3*j + 17. Suppose -g + d + 344 - 355 = 0, g - 14 = -4*d. Give k(g).\n' | b'-1\n' | b'Let k(j) = 3*j + 17. Suppose -g + d + 344 - 355 = 0, g - 14 = -4*d. Give k(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, i: 2, d: 2}. Give prob of sequence ci.\n' | b'1/10\n' | b'Two letters picked without replacement from {c: 1, i: 2, d: 2}. Give prob of sequence ci.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((v/v**0)**(15/8))**16 assuming v is positive.\n' | b'v**30\n' | b'Simplify ((v/v**0)**(15/8))**16 assuming v is positive.\n' | b'v**30\n' | deepmind/math_dataset |
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