question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Suppose 16 = 3*j + j. Suppose -683 = -648*s + 593 + 668. Let r(h) = h**3 - 6*h**2 + 4*h + 7. Let w be r(5). Solve -j*t + 28 = s*b, 5*t - 4 = 2*b + w*b for b.\n' | b'4\n' | b'Suppose 16 = 3*j + j. Suppose -683 = -648*s + 593 + 668. Let r(h) = h**3 - 6*h**2 + 4*h + 7. Let w be r(5). Solve -j*t + 28 = s*b, 5*t - 4 = 2*b + w*b for b.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence yspf when four letters picked without replacement from {p: 3, f: 1, y: 10, r: 2, s: 1}?\n' | b'1/1904\n' | b'What is prob of sequence yspf when four letters picked without replacement from {p: 3, f: 1, y: 10, r: 2, s: 1}?\n' | b'1/1904\n' | deepmind/math_dataset |
b'Let u = 10 + -5. Solve -14 = -2*q + 3*f, 4*q - 30 = -q + u*f for q.\n' | b'4\n' | b'Let u = 10 + -5. Solve -14 = -2*q + 3*f, 4*q - 30 = -q + u*f for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (v/((v*v*v**(4/9))/v))**28*(v*(v**(-4/13)*v)/v)/v*v**(1/50)*v assuming v is positive.\n' | b'v**(-68633/5850)\n' | b'Simplify (v/((v*v*v**(4/9))/v))**28*(v*(v**(-4/13)*v)/v)/v*v**(1/50)*v assuming v is positive.\n' | b'v**(-68633/5850)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ood when three letters picked without replacement from {o: 11, d: 5}.\n' | b'55/336\n' | b'Calculate prob of sequence ood when three letters picked without replacement from {o: 11, d: 5}.\n' | b'55/336\n' | deepmind/math_dataset |
b'Suppose -7*c + 838 = 271. Let p be ((-2)/(-6))/((-3)/c*-3). Let g(u) = -15 - p + 9 + u. Determine g(0).\n' | b'-9\n' | b'Suppose -7*c + 838 = 271. Let p be ((-2)/(-6))/((-3)/c*-3). Let g(u) = -15 - p + 9 + u. Determine g(0).\n' | b'-9\n' | deepmind/math_dataset |
b'Let s(i) = -i**3 - 15*i**2 - 51*i - 2. Let y be s(-5). Let v(d) = -d**y + 4*d - 5*d**2 - 38 + 34 + 5. Give v(-6).\n' | b'13\n' | b'Let s(i) = -i**3 - 15*i**2 - 51*i - 2. Let y be s(-5). Let v(d) = -d**y + 4*d - 5*d**2 - 38 + 34 + 5. Give v(-6).\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, f: 13, a: 1}. What is prob of sequence ea?\n' | b'3/272\n' | b'Two letters picked without replacement from {e: 3, f: 13, a: 1}. What is prob of sequence ea?\n' | b'3/272\n' | deepmind/math_dataset |
b'Simplify ((y/(y/((y/y**(1/3))/y)))**(-3/4)/(y**2*y*y/(y*y**9/y*y)))**(-43) assuming y is positive.\n' | b'y**(-1075/4)\n' | b'Simplify ((y/(y/((y/y**(1/3))/y)))**(-3/4)/(y**2*y*y/(y*y**9/y*y)))**(-43) assuming y is positive.\n' | b'y**(-1075/4)\n' | deepmind/math_dataset |
b'Simplify ((o/(o*o*o*o*o**0*o))**(-7/5)*o*o/(o*o**(4/5)/o*o*o)*o**(-1/7)/o)**(-5/2) assuming o is positive.\n' | b'o**(-64/7)\n' | b'Simplify ((o/(o*o*o*o*o**0*o))**(-7/5)*o*o/(o*o**(4/5)/o*o*o)*o**(-1/7)/o)**(-5/2) assuming o is positive.\n' | b'o**(-64/7)\n' | deepmind/math_dataset |
b'Let y = -238 + 244. Solve 5*b - 2*s = -12, -2*s - y = 2*b - 4 for b.\n' | b'-2\n' | b'Let y = -238 + 244. Solve 5*b - 2*s = -12, -2*s - y = 2*b - 4 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p = -1 - -9. Solve 0*h + p = -2*h - 2*z, 4*h = -2*z - 16 for h.\n' | b'-4\n' | b'Let p = -1 - -9. Solve 0*h + p = -2*h - 2*z, 4*h = -2*z - 16 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(t) be the first derivative of 5*t - 9*t + 7 + t**2 - t. Suppose 13*f - 18 - 45 = 2. Determine l(f).\n' | b'5\n' | b'Let l(t) be the first derivative of 5*t - 9*t + 7 + t**2 - t. Suppose 13*f - 18 - 45 = 2. Determine l(f).\n' | b'5\n' | deepmind/math_dataset |
b'Let n(s) be the first derivative of 0*s**4 - 3 + 0*s**3 + 0*s + 1/2*s**2 - 1/5*s**5. What is the second derivative of n(m) wrt m?\n' | b'-12*m**2\n' | b'Let n(s) be the first derivative of 0*s**4 - 3 + 0*s**3 + 0*s + 1/2*s**2 - 1/5*s**5. What is the second derivative of n(m) wrt m?\n' | b'-12*m**2\n' | deepmind/math_dataset |
b'Let c(z) = -6*z**2 - 21*z + 7. Let s(i) = -7*i**2 - 22*i + 8. Let l(r) = 6*c(r) - 5*s(r). Find the first derivative of l(p) wrt p.\n' | b'-2*p - 16\n' | b'Let c(z) = -6*z**2 - 21*z + 7. Let s(i) = -7*i**2 - 22*i + 8. Let l(r) = 6*c(r) - 5*s(r). Find the first derivative of l(p) wrt p.\n' | b'-2*p - 16\n' | deepmind/math_dataset |
b'Simplify ((((g/(g**0/g*g))/g*g)**(-11)*(g**(-2/17)/g)/g**(1/9))**(16/3))**(1/13) assuming g is positive.\n' | b'g**(-29936/5967)\n' | b'Simplify ((((g/(g**0/g*g))/g*g)**(-11)*(g**(-2/17)/g)/g**(1/9))**(16/3))**(1/13) assuming g is positive.\n' | b'g**(-29936/5967)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzzlzlwzzz. What is prob of picking 1 w and 2 z?\n' | b'7/40\n' | b'Three letters picked without replacement from zzzlzlwzzz. What is prob of picking 1 w and 2 z?\n' | b'7/40\n' | deepmind/math_dataset |
b'Let u(l) = -3*l**2 - 2*l + 5. Let m(x) = -x**2 - x + 1. Let f(g) = -4*m(g) + u(g). Suppose 4*b - 4*q = 0, 2 + 7 = -5*b - 4*q. What is f(b)?\n' | b'0\n' | b'Let u(l) = -3*l**2 - 2*l + 5. Let m(x) = -x**2 - x + 1. Let f(g) = -4*m(g) + u(g). Suppose 4*b - 4*q = 0, 2 + 7 = -5*b - 4*q. What is f(b)?\n' | b'0\n' | deepmind/math_dataset |
b'Let g = 25 - 16. Let o be 140/16 - ((-35)/(-20) - 3). Solve o = -2*t, 4*t = 2*j - g - 1 for j.\n' | b'-5\n' | b'Let g = 25 - 16. Let o be 140/16 - ((-35)/(-20) - 3). Solve o = -2*t, 4*t = 2*j - g - 1 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from amahaamf. What is prob of sequence fam?\n' | b'1/42\n' | b'Three letters picked without replacement from amahaamf. What is prob of sequence fam?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence dff when three letters picked without replacement from fdffdssffmddfzs.\n' | b'4/91\n' | b'Calculate prob of sequence dff when three letters picked without replacement from fdffdssffmddfzs.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let q(z) = -z**2 + 1. Let n be q(1). Find the third derivative of n*j**2 + 5*j**2 - 3*j**2 - 2*j**3 wrt j.\n' | b'-12\n' | b'Let q(z) = -z**2 + 1. Let n be q(1). Find the third derivative of n*j**2 + 5*j**2 - 3*j**2 - 2*j**3 wrt j.\n' | b'-12\n' | deepmind/math_dataset |
b'Find the first derivative of 40*d - 97*d + 171*d**4 + 31*d - 2002 + 27*d wrt d.\n' | b'684*d**3 + 1\n' | b'Find the first derivative of 40*d - 97*d + 171*d**4 + 31*d - 2002 + 27*d wrt d.\n' | b'684*d**3 + 1\n' | deepmind/math_dataset |
b'Let y(r) be the second derivative of 3719*r**4/12 - r**3/6 - 168*r**2 + 172*r - 2. Find the second derivative of y(n) wrt n.\n' | b'7438\n' | b'Let y(r) be the second derivative of 3719*r**4/12 - r**3/6 - 168*r**2 + 172*r - 2. Find the second derivative of y(n) wrt n.\n' | b'7438\n' | deepmind/math_dataset |
b'What is prob of sequence ldf when three letters picked without replacement from dllldikfkd?\n' | b'1/80\n' | b'What is prob of sequence ldf when three letters picked without replacement from dllldikfkd?\n' | b'1/80\n' | deepmind/math_dataset |
b'Let y be 3/(6/4) - -1. Let v = 29 + -62. Let u = v - -56. Solve y*z = 2*n + 23, -5*n - u - 7 = -2*z for z.\n' | b'5\n' | b'Let y be 3/(6/4) - -1. Let v = 29 + -62. Let u = v - -56. Solve y*z = 2*n + 23, -5*n - u - 7 = -2*z for z.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 i, and 1 p when three letters picked without replacement from lnnivvpniiivnz?\n' | b'1/91\n' | b'What is prob of picking 1 z, 1 i, and 1 p when three letters picked without replacement from lnnivvpniiivnz?\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify x**(-20)/(x**18/x)*x*x**(-24)*x*(x*x**(1/32)*x)/x assuming x is positive.\n' | b'x**(-1855/32)\n' | b'Simplify x**(-20)/(x**18/x)*x*x**(-24)*x*(x*x**(1/32)*x)/x assuming x is positive.\n' | b'x**(-1855/32)\n' | deepmind/math_dataset |
b'Let w be (-20)/(-8)*44/55. Differentiate -w*b**2 + 122*b**3 + b**2 + 70 - b**2 + 2*b**2 with respect to b.\n' | b'366*b**2\n' | b'Let w be (-20)/(-8)*44/55. Differentiate -w*b**2 + 122*b**3 + b**2 + 70 - b**2 + 2*b**2 with respect to b.\n' | b'366*b**2\n' | deepmind/math_dataset |
b'Simplify w**(3/2)*w**10 assuming w is positive.\n' | b'w**(23/2)\n' | b'Simplify w**(3/2)*w**10 assuming w is positive.\n' | b'w**(23/2)\n' | deepmind/math_dataset |
b'Let m(a) be the first derivative of -7/2*a**2 - 1/6*a**3 - 8 + 10*a. Let b(z) be the first derivative of m(z). Calculate b(-3).\n' | b'-4\n' | b'Let m(a) be the first derivative of -7/2*a**2 - 1/6*a**3 - 8 + 10*a. Let b(z) be the first derivative of m(z). Calculate b(-3).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, f: 8, a: 1, e: 5, j: 2}. Give prob of sequence ja.\n' | b'1/136\n' | b'Two letters picked without replacement from {q: 1, f: 8, a: 1, e: 5, j: 2}. Give prob of sequence ja.\n' | b'1/136\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nanddnnddnid. Give prob of picking 3 d and 1 i.\n' | b'2/99\n' | b'Four letters picked without replacement from nanddnnddnid. Give prob of picking 3 d and 1 i.\n' | b'2/99\n' | deepmind/math_dataset |
b'Suppose 0 = -3*l + l + 24. Let y = l + -7. Solve 1 + 3 = -2*z - 2*x, 0 = -y*z - 4*x - 5 for z.\n' | b'3\n' | b'Suppose 0 = -3*l + l + 24. Let y = l + -7. Solve 1 + 3 = -2*z - 2*x, 0 = -y*z - 4*x - 5 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (j*j**(-7)/j*j**(7/6)*j**(-3/4)*j**(5/3))**(-2/177) assuming j is positive.\n' | b'j**(1/18)\n' | b'Simplify (j*j**(-7)/j*j**(7/6)*j**(-3/4)*j**(5/3))**(-2/177) assuming j is positive.\n' | b'j**(1/18)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cvcncvvvvc. What is prob of sequence cvvc?\n' | b'1/21\n' | b'Four letters picked without replacement from cvcncvvvvc. What is prob of sequence cvvc?\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 2, o: 1, b: 1, k: 6, m: 9}. What is prob of picking 2 k, 1 m, and 1 o?\n' | b'45/1292\n' | b'Four letters picked without replacement from {q: 2, o: 1, b: 1, k: 6, m: 9}. What is prob of picking 2 k, 1 m, and 1 o?\n' | b'45/1292\n' | deepmind/math_dataset |
b'Simplify (b**(4/5)/(b**(1/3)/b))/(b/(b/b**(2/11))*b**(8/3)) assuming b is positive.\n' | b'b**(-76/55)\n' | b'Simplify (b**(4/5)/(b**(1/3)/b))/(b/(b/b**(2/11))*b**(8/3)) assuming b is positive.\n' | b'b**(-76/55)\n' | deepmind/math_dataset |
b'What is prob of sequence ttkt when four letters picked without replacement from {k: 5, t: 7}?\n' | b'35/396\n' | b'What is prob of sequence ttkt when four letters picked without replacement from {k: 5, t: 7}?\n' | b'35/396\n' | deepmind/math_dataset |
b'Suppose -p + 1 = v, 7 - 4 = -2*v + 3*p. Solve 2*h + 2 = -j, 3*j + 3 = -3*h - v for h.\n' | b'-1\n' | b'Suppose -p + 1 = v, 7 - 4 = -2*v + 3*p. Solve 2*h + 2 = -j, 3*j + 3 = -3*h - v for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u = 0 - -1. Let b(w) = -1 - u + 2*w**2 + 0 + 1 - 7*w**3. Calculate b(1).\n' | b'-6\n' | b'Let u = 0 - -1. Let b(w) = -1 - u + 2*w**2 + 0 + 1 - 7*w**3. Calculate b(1).\n' | b'-6\n' | deepmind/math_dataset |
b'Let y(v) = v**2. Let q(w) = -w**3 - 3*w**2. Let o(z) = -2*q(z) - 7*y(z). Suppose -124*m = -123*m - 5. Suppose -6*t - m = -t. Calculate o(t).\n' | b'-3\n' | b'Let y(v) = v**2. Let q(w) = -w**3 - 3*w**2. Let o(z) = -2*q(z) - 7*y(z). Suppose -124*m = -123*m - 5. Suppose -6*t - m = -t. Calculate o(t).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify h**(-21)*h*h**(-1/2)/h assuming h is positive.\n' | b'h**(-43/2)\n' | b'Simplify h**(-21)*h*h**(-1/2)/h assuming h is positive.\n' | b'h**(-43/2)\n' | deepmind/math_dataset |
b'What is prob of sequence utx when three letters picked without replacement from uutllltxttxtuxt?\n' | b'9/455\n' | b'What is prob of sequence utx when three letters picked without replacement from uutllltxttxtuxt?\n' | b'9/455\n' | deepmind/math_dataset |
b'Let d be 30/9 + 1 + (-12)/9. Solve 2*w - 3*w - m + 1 = 0, -d*m - 7 = w for w.\n' | b'5\n' | b'Let d be 30/9 + 1 + (-12)/9. Solve 2*w - 3*w - m + 1 = 0, -d*m - 7 = w for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let n be 2*(-18)/(-4 + 1). Let y = 17 - n. Find the second derivative of 0*u - 4*u - u + 0*u + u**y wrt u.\n' | b'20*u**3\n' | b'Let n be 2*(-18)/(-4 + 1). Let y = 17 - n. Find the second derivative of 0*u - 4*u - u + 0*u + u**y wrt u.\n' | b'20*u**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ooooooooooooaoo.\n' | b'2/15\n' | b'Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ooooooooooooaoo.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (c**(-7)/c)/c**(-14)*(c**3*c)**(4/23) assuming c is positive.\n' | b'c**(154/23)\n' | b'Simplify (c**(-7)/c)/c**(-14)*(c**3*c)**(4/23) assuming c is positive.\n' | b'c**(154/23)\n' | deepmind/math_dataset |
b'Let u(q) = q**2 + 10*q + 5. Suppose -4*i + 4*b = 23 + 17, 2*b = 2. Let o be u(i). Let l(d) = 3*d + 5. Give l(o).\n' | b'-7\n' | b'Let u(q) = q**2 + 10*q + 5. Suppose -4*i + 4*b = 23 + 17, 2*b = 2. Let o be u(i). Let l(d) = 3*d + 5. Give l(o).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence cqe when three letters picked without replacement from {c: 4, e: 1, q: 6}.\n' | b'4/165\n' | b'Calculate prob of sequence cqe when three letters picked without replacement from {c: 4, e: 1, q: 6}.\n' | b'4/165\n' | deepmind/math_dataset |
b'Simplify ((i*i**(1/4))/i**(4/7))/(i**2)**(1/10) assuming i is positive.\n' | b'i**(67/140)\n' | b'Simplify ((i*i**(1/4))/i**(4/7))/(i**2)**(1/10) assuming i is positive.\n' | b'i**(67/140)\n' | deepmind/math_dataset |
b'Let h be 106/13 - 4/26. Find the third derivative of h*c**2 + 20*c**2 - 2*c**2 - 23*c**6 wrt c.\n' | b'-2760*c**3\n' | b'Let h be 106/13 - 4/26. Find the third derivative of h*c**2 + 20*c**2 - 2*c**2 - 23*c**6 wrt c.\n' | b'-2760*c**3\n' | deepmind/math_dataset |
b'Simplify ((s**(-2/3)*s)**9/(s**2)**(-6))**(-1/17) assuming s is positive.\n' | b's**(-15/17)\n' | b'Simplify ((s**(-2/3)*s)**9/(s**2)**(-6))**(-1/17) assuming s is positive.\n' | b's**(-15/17)\n' | deepmind/math_dataset |
b'Let z(x) = x**2 + 2*x - 11. Let l be z(-5). Suppose -h - h + 13 = 5*y, -3*h - 15 = -l*y. Find the second derivative of 9*v + 8*v + 12*v**y + 3*v wrt v.\n' | b'72*v\n' | b'Let z(x) = x**2 + 2*x - 11. Let l be z(-5). Suppose -h - h + 13 = 5*y, -3*h - 15 = -l*y. Find the second derivative of 9*v + 8*v + 12*v**y + 3*v wrt v.\n' | b'72*v\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, y: 2, h: 1}. Give prob of picking 1 h and 1 v.\n' | b'1/5\n' | b'Two letters picked without replacement from {v: 2, y: 2, h: 1}. Give prob of picking 1 h and 1 v.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 e when two letters picked without replacement from {g: 2, q: 1, e: 1, r: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 r and 1 e when two letters picked without replacement from {g: 2, q: 1, e: 1, r: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 0 = 2*d + 4*r + 10, -4*d + 55*r = 54*r + 29. Let x(y) be the first derivative of -y**4/4 - 8*y**3/3 - 3*y**2 + 15*y - 7. Give x(d).\n' | b'8\n' | b'Suppose 0 = 2*d + 4*r + 10, -4*d + 55*r = 54*r + 29. Let x(y) be the first derivative of -y**4/4 - 8*y**3/3 - 3*y**2 + 15*y - 7. Give x(d).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 v when three letters picked without replacement from ffkkfvkffkffvkff.\n' | b'9/560\n' | b'Calculate prob of picking 1 f and 2 v when three letters picked without replacement from ffkkfvkffkffvkff.\n' | b'9/560\n' | deepmind/math_dataset |
b'Let g(c) = 0*c + 2*c + 0*c. Suppose -4*u = v + 13, -2*v - 5 = u + 7. What is g(v)?\n' | b'-10\n' | b'Let g(c) = 0*c + 2*c + 0*c. Suppose -4*u = v + 13, -2*v - 5 = u + 7. What is g(v)?\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccss when four letters picked without replacement from {s: 2, c: 3}.\n' | b'1/10\n' | b'Calculate prob of sequence ccss when four letters picked without replacement from {s: 2, c: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let u be 0/(2 - (0 + 0)). Suppose u*t - j = 5*t - 45, -2*t + 2*j + 6 = 0. Solve -4*v + v = -4*x + 26, 0 = 4*v + t for x.\n' | b'5\n' | b'Let u be 0/(2 - (0 + 0)). Suppose u*t - j = 5*t - 45, -2*t + 2*j + 6 = 0. Solve -4*v + v = -4*x + 26, 0 = 4*v + t for x.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 3, p: 3, y: 5, k: 2, z: 2}. What is prob of picking 1 k, 1 p, and 2 y?\n' | b'4/91\n' | b'Four letters picked without replacement from {f: 3, p: 3, y: 5, k: 2, z: 2}. What is prob of picking 1 k, 1 p, and 2 y?\n' | b'4/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmwqvvmmvv. What is prob of picking 1 m and 1 v?\n' | b'16/45\n' | b'Two letters picked without replacement from mmwqvvmmvv. What is prob of picking 1 m and 1 v?\n' | b'16/45\n' | deepmind/math_dataset |
b'Suppose 5*h + 42 - 2 = 0. Let i = h - -12. Suppose -i*o - 3*k - 17 = 0, 3*o + k + 13 = -1. Let s(z) = z**2 + 5*z + 6. What is s(o)?\n' | b'6\n' | b'Suppose 5*h + 42 - 2 = 0. Let i = h - -12. Suppose -i*o - 3*k - 17 = 0, 3*o + k + 13 = -1. Let s(z) = z**2 + 5*z + 6. What is s(o)?\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence egng when four letters picked without replacement from {e: 1, g: 5, k: 3, z: 1, j: 2, n: 1}?\n' | b'1/858\n' | b'What is prob of sequence egng when four letters picked without replacement from {e: 1, g: 5, k: 3, z: 1, j: 2, n: 1}?\n' | b'1/858\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\n' | b'1\n' | b'What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 1 j, and 1 x when three letters picked without replacement from {x: 2, u: 1, j: 1, i: 5, y: 1}?\n' | b'1/12\n' | b'What is prob of picking 1 i, 1 j, and 1 x when three letters picked without replacement from {x: 2, u: 1, j: 1, i: 5, y: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let d be 132/(-990) - (602/(-30))/(-7). Let s(y) = y**3 + 10*y**2 + 19*y + 3. Determine s(d).\n' | b'9\n' | b'Let d be 132/(-990) - (602/(-30))/(-7). Let s(y) = y**3 + 10*y**2 + 19*y + 3. Determine s(d).\n' | b'9\n' | deepmind/math_dataset |
b'Let x(k) = 754*k**2 + 22*k + 610. Let i(f) = -189*f**2 - 5*f - 152. Let p(s) = 26*i(s) + 6*x(s). Find the second derivative of p(d) wrt d.\n' | b'-780\n' | b'Let x(k) = 754*k**2 + 22*k + 610. Let i(f) = -189*f**2 - 5*f - 152. Let p(s) = 26*i(s) + 6*x(s). Find the second derivative of p(d) wrt d.\n' | b'-780\n' | deepmind/math_dataset |
b'Let n(f) be the second derivative of 0 - 1/2*f**4 - 3/2*f**3 + 1/20*f**5 + 4*f**2 + 6*f. Determine n(7).\n' | b'-6\n' | b'Let n(f) be the second derivative of 0 - 1/2*f**4 - 3/2*f**3 + 1/20*f**5 + 4*f**2 + 6*f. Determine n(7).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (i/((i/(i*i**0))/i))**(-27/5)/(i**4*i*(i*i**0/i)/i) assuming i is positive.\n' | b'i**(-74/5)\n' | b'Simplify (i/((i/(i*i**0))/i))**(-27/5)/(i**4*i*(i*i**0/i)/i) assuming i is positive.\n' | b'i**(-74/5)\n' | deepmind/math_dataset |
b'Simplify k*k**(1/3)*k*k*k**8*k*k**(-17)*k*k*k/((k*k**(1/11)*k)/k) assuming k is positive.\n' | b'k**(-91/33)\n' | b'Simplify k*k**(1/3)*k*k*k**8*k*k**(-17)*k*k*k/((k*k**(1/11)*k)/k) assuming k is positive.\n' | b'k**(-91/33)\n' | deepmind/math_dataset |
b'Let f(u) = -u**3 + 13*u**2 - 15*u + 12. Let m(o) = o**2 + 8*o - 72. Let t be m(6). What is f(t)?\n' | b'-24\n' | b'Let f(u) = -u**3 + 13*u**2 - 15*u + 12. Let m(o) = o**2 + 8*o - 72. Let t be m(6). What is f(t)?\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-3))/(v*v*v*v/v**(1/3)))**(-1)*(v*v*v**4/v*v*v**0*v*v)/(v*v**0)**(-3/14) assuming v is positive.\n' | b'v**(331/42)\n' | b'Simplify ((v/v**(-3))/(v*v*v*v/v**(1/3)))**(-1)*(v*v*v**4/v*v*v**0*v*v)/(v*v**0)**(-3/14) assuming v is positive.\n' | b'v**(331/42)\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 3 q when four letters picked without replacement from dqddiiiqddddqi?\n' | b'1/143\n' | b'What is prob of picking 1 d and 3 q when four letters picked without replacement from dqddiiiqddddqi?\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify ((i**(-1/2)/(i*(i**4*i)/i))/(i/(i*(i**(-1)/i)/i))**(-16/3))/(i*i/(i/(i/(i*i*i**2*i*i)))*i**2*i*i**(1/5)*(i*i**(-2/7)/i)/i) assuming i is positive.\n' | b'i**(881/70)\n' | b'Simplify ((i**(-1/2)/(i*(i**4*i)/i))/(i/(i*(i**(-1)/i)/i))**(-16/3))/(i*i/(i/(i/(i*i*i**2*i*i)))*i**2*i*i**(1/5)*(i*i**(-2/7)/i)/i) assuming i is positive.\n' | b'i**(881/70)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 r when three letters picked without replacement from {g: 8, b: 1, r: 10}.\n' | b'40/323\n' | b'Calculate prob of picking 3 r when three letters picked without replacement from {g: 8, b: 1, r: 10}.\n' | b'40/323\n' | deepmind/math_dataset |
b'What is the second derivative of 3*w - 5*w + w**3 + 0*w**3 wrt w?\n' | b'6*w\n' | b'What is the second derivative of 3*w - 5*w + w**3 + 0*w**3 wrt w?\n' | b'6*w\n' | deepmind/math_dataset |
b'What is the second derivative of 38 - 50*s + 649*s**3 - 48 - 94*s + 10 wrt s?\n' | b'3894*s\n' | b'What is the second derivative of 38 - 50*s + 649*s**3 - 48 - 94*s + 10 wrt s?\n' | b'3894*s\n' | deepmind/math_dataset |
b'What is the second derivative of -80*p**3 + 31*p**3 - 181*p + 195*p wrt p?\n' | b'-294*p\n' | b'What is the second derivative of -80*p**3 + 31*p**3 - 181*p + 195*p wrt p?\n' | b'-294*p\n' | deepmind/math_dataset |
b'Let w(f) = 24*f**4 - 8*f**3 + 8*f**2 - 8*f + 30. Let a(s) = -8*s**4 + 3*s**3 - 3*s**2 + 3*s - 10. Let p(c) = 8*a(c) + 3*w(c). Differentiate p(z) wrt z.\n' | b'32*z**3\n' | b'Let w(f) = 24*f**4 - 8*f**3 + 8*f**2 - 8*f + 30. Let a(s) = -8*s**4 + 3*s**3 - 3*s**2 + 3*s - 10. Let p(c) = 8*a(c) + 3*w(c). Differentiate p(z) wrt z.\n' | b'32*z**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, h: 8, y: 6}. What is prob of picking 1 y and 1 h?\n' | b'6/17\n' | b'Two letters picked without replacement from {m: 3, h: 8, y: 6}. What is prob of picking 1 y and 1 h?\n' | b'6/17\n' | deepmind/math_dataset |
b'Let t be 7 - (5/(-1) - -7). Solve -t*p = -3*v + 22, -v - 3*v = -2*p - 20 for v.\n' | b'4\n' | b'Let t be 7 - (5/(-1) - -7). Solve -t*p = -3*v + 22, -v - 3*v = -2*p - 20 for v.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence wnjw when four letters picked without replacement from {o: 1, q: 1, j: 2, n: 2, w: 2, y: 1}?\n' | b'1/378\n' | b'What is prob of sequence wnjw when four letters picked without replacement from {o: 1, q: 1, j: 2, n: 2, w: 2, y: 1}?\n' | b'1/378\n' | deepmind/math_dataset |
b'Let b = -7 + 11. Let f be ((-192)/(24 - 0))/(-4). Solve 11 = -5*q + 2*s, b*q - 9 = -f*s - 25 for q.\n' | b'-3\n' | b'Let b = -7 + 11. Let f be ((-192)/(24 - 0))/(-4). Solve 11 = -5*q + 2*s, b*q - 9 = -f*s - 25 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -4*b - 4*n - 1904 = 0, 8*n - 1922 = 4*b + 3*n. Let g be (b/4)/(2*(-2)/8). What is the first derivative of 117*x + 122*x - 10*x**2 + 22 - g*x wrt x?\n' | b'-20*x\n' | b'Suppose -4*b - 4*n - 1904 = 0, 8*n - 1922 = 4*b + 3*n. Let g be (b/4)/(2*(-2)/8). What is the first derivative of 117*x + 122*x - 10*x**2 + 22 - g*x wrt x?\n' | b'-20*x\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyyyywwywyyyyyyy. What is prob of sequence ww?\n' | b'1/40\n' | b'Two letters picked without replacement from yyyyywwywyyyyyyy. What is prob of sequence ww?\n' | b'1/40\n' | deepmind/math_dataset |
b'Let g(x) = x**3 - 6*x**2 - x - 1. Suppose 0 = -5*s - 3*a + 270, 0*s - 66 = -s - 3*a. Let y = s + -45. Give g(y).\n' | b'-7\n' | b'Let g(x) = x**3 - 6*x**2 - x - 1. Suppose 0 = -5*s - 3*a + 270, 0*s - 66 = -s - 3*a. Let y = s + -45. Give g(y).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyttttttttyxttt. Give prob of picking 3 y.\n' | b'1/455\n' | b'Three letters picked without replacement from yyttttttttyxttt. Give prob of picking 3 y.\n' | b'1/455\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 x when two letters picked without replacement from {q: 2, x: 3, t: 1, y: 1, i: 2, w: 3}?\n' | b'1/11\n' | b'What is prob of picking 1 i and 1 x when two letters picked without replacement from {q: 2, x: 3, t: 1, y: 1, i: 2, w: 3}?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let w(a) be the third derivative of 227*a**7/14 + 7*a**5/12 + a**4/24 + 35*a**2 - 9. What is the third derivative of w(v) wrt v?\n' | b'81720*v\n' | b'Let w(a) be the third derivative of 227*a**7/14 + 7*a**5/12 + a**4/24 + 35*a**2 - 9. What is the third derivative of w(v) wrt v?\n' | b'81720*v\n' | deepmind/math_dataset |
b'Let v(g) = 4*g - 3. Let n(a) = -12*a + 9. Let w(o) = -6*n(o) - 17*v(o). Let r be w(2). Let x(b) = b**3 - 4*b**2 - 5*b + 4. Give x(r).\n' | b'4\n' | b'Let v(g) = 4*g - 3. Let n(a) = -12*a + 9. Let w(o) = -6*n(o) - 17*v(o). Let r be w(2). Let x(b) = b**3 - 4*b**2 - 5*b + 4. Give x(r).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 1198 - 373 = -33*h. Let j(q) = 2*q**3 - 2*q**2 - 2*q - 2. Let s be j(-2). Let k = s - h. Solve o - 16 = 3*y + 5*o, 3*y + k*o + 12 = 0 for y.\n' | b'0\n' | b'Suppose 1198 - 373 = -33*h. Let j(q) = 2*q**3 - 2*q**2 - 2*q - 2. Let s be j(-2). Let k = s - h. Solve o - 16 = 3*y + 5*o, 3*y + k*o + 12 = 0 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let n = 60 + -67. Let h(x) = x + 9. Give h(n).\n' | b'2\n' | b'Let n = 60 + -67. Let h(x) = x + 9. Give h(n).\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence lm when two letters picked without replacement from {y: 8, k: 2, h: 7, l: 1, m: 2}.\n' | b'1/190\n' | b'Calculate prob of sequence lm when two letters picked without replacement from {y: 8, k: 2, h: 7, l: 1, m: 2}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Suppose -30*q = -32*q + 6. Solve -3*r = -2*s - 11, q*s + 10 = -r - 1 for r.\n' | b'1\n' | b'Suppose -30*q = -32*q + 6. Solve -3*r = -2*s - 11, q*s + 10 = -r - 1 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (a*a**(-3/7)*a**(-4))**2 assuming a is positive.\n' | b'a**(-48/7)\n' | b'Simplify (a*a**(-3/7)*a**(-4))**2 assuming a is positive.\n' | b'a**(-48/7)\n' | deepmind/math_dataset |
b'What is prob of sequence hh when two letters picked without replacement from rrhrhrrhrrrhrhrhrrr?\n' | b'5/57\n' | b'What is prob of sequence hh when two letters picked without replacement from rrhrhrrhrrrhrhrhrrr?\n' | b'5/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence jpj when three letters picked without replacement from {j: 11, p: 2}.\n' | b'5/39\n' | b'Calculate prob of sequence jpj when three letters picked without replacement from {j: 11, p: 2}.\n' | b'5/39\n' | deepmind/math_dataset |
b'Simplify (q**(1/11)/q)**(-37)/((q/((q*q*q/q**21)/q))/(q**(2/11)*q)) assuming q is positive.\n' | b'q**(163/11)\n' | b'Simplify (q**(1/11)/q)**(-37)/((q/((q*q*q/q**21)/q))/(q**(2/11)*q)) assuming q is positive.\n' | b'q**(163/11)\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.