question
stringlengths 40
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| answer
stringlengths 6
35
| instruction_seed
stringlengths 40
165
| response_seed
stringlengths 6
35
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value |
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b'Four letters picked without replacement from oroogiigoakog. What is prob of sequence irko?\n'
|
b'1/1716\n'
|
b'Four letters picked without replacement from oroogiigoakog. What is prob of sequence irko?\n'
|
b'1/1716\n'
|
deepmind/math_dataset
|
b'Let v(z) = 9*z**2 + 5*z + 17. Let o(w) = -2 + 1 - 6*w - 10*w**2 - 17. Let a(t) = 5*o(t) + 6*v(t). Find the first derivative of a(r) wrt r.\n'
|
b'8*r\n'
|
b'Let v(z) = 9*z**2 + 5*z + 17. Let o(w) = -2 + 1 - 6*w - 10*w**2 - 17. Let a(t) = 5*o(t) + 6*v(t). Find the first derivative of a(r) wrt r.\n'
|
b'8*r\n'
|
deepmind/math_dataset
|
b'Suppose 26*l + 12*l = -228. Let a(b) = -4*b - 3. Calculate a(l).\n'
|
b'21\n'
|
b'Suppose 26*l + 12*l = -228. Let a(b) = -4*b - 3. Calculate a(l).\n'
|
b'21\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from iriiziiwi. What is prob of picking 1 z and 1 i?\n'
|
b'1/6\n'
|
b'Two letters picked without replacement from iriiziiwi. What is prob of picking 1 z and 1 i?\n'
|
b'1/6\n'
|
deepmind/math_dataset
|
b'Suppose 2*a - 5 = 3. Suppose 3*t - 39 = -4*q - 12, -t - 7 = -a*q. Find the first derivative of -2 - 5*d + 2*d**q + 5*d wrt d.\n'
|
b'6*d**2\n'
|
b'Suppose 2*a - 5 = 3. Suppose 3*t - 39 = -4*q - 12, -t - 7 = -a*q. Find the first derivative of -2 - 5*d + 2*d**q + 5*d wrt d.\n'
|
b'6*d**2\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence bh when two letters picked without replacement from {g: 2, h: 8, b: 2}.\n'
|
b'4/33\n'
|
b'Calculate prob of sequence bh when two letters picked without replacement from {g: 2, h: 8, b: 2}.\n'
|
b'4/33\n'
|
deepmind/math_dataset
|
b'Let o(z) = -z + 2. Let y be 0 + (4 - 0/(-2)). Give o(y).\n'
|
b'-2\n'
|
b'Let o(z) = -z + 2. Let y be 0 + (4 - 0/(-2)). Give o(y).\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence oah when three letters picked without replacement from {a: 7, k: 1, h: 2, z: 2, o: 4}.\n'
|
b'1/60\n'
|
b'Calculate prob of sequence oah when three letters picked without replacement from {a: 7, k: 1, h: 2, z: 2, o: 4}.\n'
|
b'1/60\n'
|
deepmind/math_dataset
|
b'Let f = -70 - -72. Let u(g) = -4*g**3 + 39*g**2 - 57*g + 49. Let j(l) = l**3 - 10*l**2 + 14*l - 12. Let i(y) = f*u(y) + 9*j(y). What is i(11)?\n'
|
b'1\n'
|
b'Let f = -70 - -72. Let u(g) = -4*g**3 + 39*g**2 - 57*g + 49. Let j(l) = l**3 - 10*l**2 + 14*l - 12. Let i(y) = f*u(y) + 9*j(y). What is i(11)?\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {z: 2, c: 2, i: 1, d: 3, s: 8, u: 1}.\n'
|
b'3/680\n'
|
b'Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {z: 2, c: 2, i: 1, d: 3, s: 8, u: 1}.\n'
|
b'3/680\n'
|
deepmind/math_dataset
|
b'Let q = 206 + -203. Solve q*h - x - x + 17 = 0, -5*h = -x + 26 for h.\n'
|
b'-5\n'
|
b'Let q = 206 + -203. Solve q*h - x - x + 17 = 0, -5*h = -x + 26 for h.\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Simplify (a/(a**(-1)*a*a)*a)**(-2/41)*a**(-1/6)/a*a**(-7)/a assuming a is positive.\n'
|
b'a**(-2267/246)\n'
|
b'Simplify (a/(a**(-1)*a*a)*a)**(-2/41)*a**(-1/6)/a*a**(-7)/a assuming a is positive.\n'
|
b'a**(-2267/246)\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {s: 5, x: 1, c: 3, z: 1, i: 1, l: 1}. Give prob of picking 1 l, 1 s, 1 c, and 1 x.\n'
|
b'1/33\n'
|
b'Four letters picked without replacement from {s: 5, x: 1, c: 3, z: 1, i: 1, l: 1}. Give prob of picking 1 l, 1 s, 1 c, and 1 x.\n'
|
b'1/33\n'
|
deepmind/math_dataset
|
b'Suppose -2 = 2*b - b, 0 = 5*h + 2*b - 11. Solve -2*u = -4*j + 22, -h = 3*u - 4*j + 24 for u.\n'
|
b'-5\n'
|
b'Suppose -2 = 2*b - b, 0 = 5*h + 2*b - 11. Solve -2*u = -4*j + 22, -h = 3*u - 4*j + 24 for u.\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Let d(v) be the third derivative of v**6/24 + v**5/60 + 7*v**2. What is the third derivative of d(u) wrt u?\n'
|
b'30\n'
|
b'Let d(v) be the third derivative of v**6/24 + v**5/60 + 7*v**2. What is the third derivative of d(u) wrt u?\n'
|
b'30\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {y: 14, o: 1, m: 1}. What is prob of sequence oy?\n'
|
b'7/120\n'
|
b'Two letters picked without replacement from {y: 14, o: 1, m: 1}. What is prob of sequence oy?\n'
|
b'7/120\n'
|
deepmind/math_dataset
|
b'Let p(v) be the first derivative of -v**4/4 + 8*v**3/3 + v**2/2 - 9*v - 42. Determine p(8).\n'
|
b'-1\n'
|
b'Let p(v) be the first derivative of -v**4/4 + 8*v**3/3 + v**2/2 - 9*v - 42. Determine p(8).\n'
|
b'-1\n'
|
deepmind/math_dataset
|
b'Simplify (((x*(x*x**(1/2))/x)/x)/x**(-5/2))/(x*x**(2/7)/x)**1*(x/x**(-2/13)*x/x**(-3)*x*x)/(x**(-1/4)*x)**(1/12) assuming x is positive.\n'
|
b'x**(14277/1456)\n'
|
b'Simplify (((x*(x*x**(1/2))/x)/x)/x**(-5/2))/(x*x**(2/7)/x)**1*(x/x**(-2/13)*x/x**(-3)*x*x)/(x**(-1/4)*x)**(1/12) assuming x is positive.\n'
|
b'x**(14277/1456)\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from whjpp. Give prob of sequence wp.\n'
|
b'1/10\n'
|
b'Two letters picked without replacement from whjpp. Give prob of sequence wp.\n'
|
b'1/10\n'
|
deepmind/math_dataset
|
b'What is prob of sequence aaja when four letters picked without replacement from jaajj?\n'
|
b'0\n'
|
b'What is prob of sequence aaja when four letters picked without replacement from jaajj?\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Let f = -46 - -36. Let j be (((-18)/10)/(-3))/((-2)/f). Solve -j*x - 12 = -c, 5*c + 3*x - 6 = -0 for c.\n'
|
b'3\n'
|
b'Let f = -46 - -36. Let j be (((-18)/10)/(-3))/((-2)/f). Solve -j*x - 12 = -c, 5*c + 3*x - 6 = -0 for c.\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'Suppose -5*d = -3*u - 7, 2*d - 4*u - 7 = -7*u. Let g(a) = -a - 5. Let p be g(-5). Solve d*r + 0*r = 4*s + 12, r = p for s.\n'
|
b'-3\n'
|
b'Suppose -5*d = -3*u - 7, 2*d - 4*u - 7 = -7*u. Let g(a) = -a - 5. Let p be g(-5). Solve d*r + 0*r = 4*s + 12, r = p for s.\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let h be 4/(-2) - 3/((-9)/24). Suppose 5*t - 20 = t - 2*f, -2*t = 3*f - h. Suppose 18*y = 21*y - t. Solve y*g = -3*z - 1 - 6, 0 = 5*g + 5*z + 10 for g.\n'
|
b'1\n'
|
b'Let h be 4/(-2) - 3/((-9)/24). Suppose 5*t - 20 = t - 2*f, -2*t = 3*f - h. Suppose 18*y = 21*y - t. Solve y*g = -3*z - 1 - 6, 0 = 5*g + 5*z + 10 for g.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Suppose -6*s + s + 90 = 2*j, 10*s - 30 = 2*j. Solve 5*d = -j, 5*d + 49 = -2*z - 4*z for z.\n'
|
b'-4\n'
|
b'Suppose -6*s + s + 90 = 2*j, 10*s - 30 = 2*j. Solve 5*d = -j, 5*d + 49 = -2*z - 4*z for z.\n'
|
b'-4\n'
|
deepmind/math_dataset
|
b'Suppose 2*o - 3*t - 138 = 0, 0 = -o - 6*t + 4*t + 76. Solve 5*v = -4*s + 37, 0 = 75*s - o*s - v - 4 for s.\n'
|
b'3\n'
|
b'Suppose 2*o - 3*t - 138 = 0, 0 = -o - 6*t + 4*t + 76. Solve 5*v = -4*s + 37, 0 = 75*s - o*s - v - 4 for s.\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 1, o: 3}.\n'
|
b'1/2\n'
|
b'Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 1, o: 3}.\n'
|
b'1/2\n'
|
deepmind/math_dataset
|
b'Simplify h**(-4)/h**(2/9)*(h**(-2/5)*h)/h**(-4)*(h/(h*h**(3/11)))/h**(-6)*(h**(2/5))**(2/81) assuming h is positive.\n'
|
b'h**(27242/4455)\n'
|
b'Simplify h**(-4)/h**(2/9)*(h**(-2/5)*h)/h**(-4)*(h/(h*h**(3/11)))/h**(-6)*(h**(2/5))**(2/81) assuming h is positive.\n'
|
b'h**(27242/4455)\n'
|
deepmind/math_dataset
|
b'Suppose 148*x - 56 = 4*p + 146*x, -4*x = 16. Let u(d) = d**3 + 15*d**2 - 17*d - 18. Determine u(p).\n'
|
b'-2\n'
|
b'Suppose 148*x - 56 = 4*p + 146*x, -4*x = 16. Let u(d) = d**3 + 15*d**2 - 17*d - 18. Determine u(p).\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence oo when two letters picked without replacement from {o: 17, b: 2}.\n'
|
b'136/171\n'
|
b'Calculate prob of sequence oo when two letters picked without replacement from {o: 17, b: 2}.\n'
|
b'136/171\n'
|
deepmind/math_dataset
|
b'Suppose r - 5*d - 5 = 0, 0*r - d - 27 = 5*r. Let t(b) = -b**3 - 3*b**2 + 2*b + 6. What is t(r)?\n'
|
b'46\n'
|
b'Suppose r - 5*d - 5 = 0, 0*r - d - 27 = 5*r. Let t(b) = -b**3 - 3*b**2 + 2*b + 6. What is t(r)?\n'
|
b'46\n'
|
deepmind/math_dataset
|
b'Simplify (p**(-2/17))**25/(p**(2/5)/p**10) assuming p is positive.\n'
|
b'p**(566/85)\n'
|
b'Simplify (p**(-2/17))**25/(p**(2/5)/p**10) assuming p is positive.\n'
|
b'p**(566/85)\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {s: 2, k: 2, t: 1, j: 1, c: 1}. What is prob of sequence ss?\n'
|
b'1/21\n'
|
b'Two letters picked without replacement from {s: 2, k: 2, t: 1, j: 1, c: 1}. What is prob of sequence ss?\n'
|
b'1/21\n'
|
deepmind/math_dataset
|
b'Let y(u) = -u**2 - 2. Let k be y(0). Let a = 4 + k. Let h(w) = 1 + 2*w - 3*w**a + 0 - 1 + 2. Give h(2).\n'
|
b'-6\n'
|
b'Let y(u) = -u**2 - 2. Let k be y(0). Let a = 4 + k. Let h(w) = 1 + 2*w - 3*w**a + 0 - 1 + 2. Give h(2).\n'
|
b'-6\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 2 o and 1 l when three letters picked without replacement from looololooolcoclol.\n'
|
b'27/85\n'
|
b'Calculate prob of picking 2 o and 1 l when three letters picked without replacement from looololooolcoclol.\n'
|
b'27/85\n'
|
deepmind/math_dataset
|
b'Let b = 19 - 17. Suppose -11*r + b*r = -0*r. Solve -o + 12 = -2*x, -3*x - 5*o - 1 + 9 = r for x.\n'
|
b'-4\n'
|
b'Let b = 19 - 17. Suppose -11*r + b*r = -0*r. Solve -o + 12 = -2*x, -3*x - 5*o - 1 + 9 = r for x.\n'
|
b'-4\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 b and 1 r when two letters picked without replacement from rnnrnrnbnaabhbrnzar?\n'
|
b'5/57\n'
|
b'What is prob of picking 1 b and 1 r when two letters picked without replacement from rnnrnrnbnaabhbrnzar?\n'
|
b'5/57\n'
|
deepmind/math_dataset
|
b'Let l(j) = -42*j**2 + 2*j + 27. Let k(c) = c**2 + c. Let h(a) = 2*k(a) - l(a). Differentiate h(t) with respect to t.\n'
|
b'88*t\n'
|
b'Let l(j) = -42*j**2 + 2*j + 27. Let k(c) = c**2 + c. Let h(a) = 2*k(a) - l(a). Differentiate h(t) with respect to t.\n'
|
b'88*t\n'
|
deepmind/math_dataset
|
b'What is the derivative of -59*g + 15*g + 186549 - 186947 wrt g?\n'
|
b'-44\n'
|
b'What is the derivative of -59*g + 15*g + 186549 - 186947 wrt g?\n'
|
b'-44\n'
|
deepmind/math_dataset
|
b'What is the derivative of -236*d - 323 + 2*d**2 + 123*d - 364 + 563 + 4*d**2 wrt d?\n'
|
b'12*d - 113\n'
|
b'What is the derivative of -236*d - 323 + 2*d**2 + 123*d - 364 + 563 + 4*d**2 wrt d?\n'
|
b'12*d - 113\n'
|
deepmind/math_dataset
|
b'Let j(s) be the first derivative of 269*s**3 + s**2/2 - 523*s + 479. What is the second derivative of j(b) wrt b?\n'
|
b'1614\n'
|
b'Let j(s) be the first derivative of 269*s**3 + s**2/2 - 523*s + 479. What is the second derivative of j(b) wrt b?\n'
|
b'1614\n'
|
deepmind/math_dataset
|
b'Let t(s) = s**2 + 13*s - 8. Let v be t(-14). Let c(w) = 3*w + 3. Calculate c(v).\n'
|
b'21\n'
|
b'Let t(s) = s**2 + 13*s - 8. Let v be t(-14). Let c(w) = 3*w + 3. Calculate c(v).\n'
|
b'21\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {u: 7, r: 9}. What is prob of picking 2 r and 1 u?\n'
|
b'9/20\n'
|
b'Three letters picked without replacement from {u: 7, r: 9}. What is prob of picking 2 r and 1 u?\n'
|
b'9/20\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 3 r and 1 o when four letters picked without replacement from rrrrgorgrrrgrrgrg.\n'
|
b'33/476\n'
|
b'Calculate prob of picking 3 r and 1 o when four letters picked without replacement from rrrrgorgrrrgrrgrg.\n'
|
b'33/476\n'
|
deepmind/math_dataset
|
b'Let q(h) be the first derivative of -h**4 + 4*h**4 + 4 - 114*h + 121*h. Find the first derivative of q(o) wrt o.\n'
|
b'36*o**2\n'
|
b'Let q(h) be the first derivative of -h**4 + 4*h**4 + 4 - 114*h + 121*h. Find the first derivative of q(o) wrt o.\n'
|
b'36*o**2\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {j: 2, b: 4, h: 4, y: 1}. What is prob of picking 2 j and 2 h?\n'
|
b'1/55\n'
|
b'Four letters picked without replacement from {j: 2, b: 4, h: 4, y: 1}. What is prob of picking 2 j and 2 h?\n'
|
b'1/55\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from ngkxrnrxnn. What is prob of picking 2 n and 1 k?\n'
|
b'1/20\n'
|
b'Three letters picked without replacement from ngkxrnrxnn. What is prob of picking 2 n and 1 k?\n'
|
b'1/20\n'
|
deepmind/math_dataset
|
b'Let f be 3 - (2 + 0) - 1. Suppose -m = -f - 12. Suppose r + 5*r - m = 0. Let s(h) = 2*h**3 - h**2 - h - 2. Give s(r).\n'
|
b'8\n'
|
b'Let f be 3 - (2 + 0) - 1. Suppose -m = -f - 12. Suppose r + 5*r - m = 0. Let s(h) = 2*h**3 - h**2 - h - 2. Give s(r).\n'
|
b'8\n'
|
deepmind/math_dataset
|
b'Let q(s) = -s**2 - 10*s - 10. Let d(i) = -2*i**2 - 20*i - 21. Let o(n) = -3*d(n) + 5*q(n). Suppose -3 + 0 = 3*w. Let z be 4 - 6 - w - 8. What is o(z)?\n'
|
b'4\n'
|
b'Let q(s) = -s**2 - 10*s - 10. Let d(i) = -2*i**2 - 20*i - 21. Let o(n) = -3*d(n) + 5*q(n). Suppose -3 + 0 = 3*w. Let z be 4 - 6 - w - 8. What is o(z)?\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 1 w and 2 i when three letters picked without replacement from iiisuiswf.\n'
|
b'1/14\n'
|
b'Calculate prob of picking 1 w and 2 i when three letters picked without replacement from iiisuiswf.\n'
|
b'1/14\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from usfnnwuwh. What is prob of picking 2 n, 1 u, and 1 w?\n'
|
b'2/63\n'
|
b'Four letters picked without replacement from usfnnwuwh. What is prob of picking 2 n, 1 u, and 1 w?\n'
|
b'2/63\n'
|
deepmind/math_dataset
|
b'Suppose -13 = -2*s - 3. Let a(u) be the first derivative of 18 + 18*u + 6*u**s - 31 + 9. Differentiate a(h) with respect to h.\n'
|
b'120*h**3\n'
|
b'Suppose -13 = -2*s - 3. Let a(u) be the first derivative of 18 + 18*u + 6*u**s - 31 + 9. Differentiate a(h) with respect to h.\n'
|
b'120*h**3\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 p and 1 z when two letters picked without replacement from zopmzpzppzmpp?\n'
|
b'4/13\n'
|
b'What is prob of picking 1 p and 1 z when two letters picked without replacement from zopmzpzppzmpp?\n'
|
b'4/13\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence bz when two letters picked without replacement from {b: 4, z: 2, o: 4, y: 1}.\n'
|
b'4/55\n'
|
b'Calculate prob of sequence bz when two letters picked without replacement from {b: 4, z: 2, o: 4, y: 1}.\n'
|
b'4/55\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from yffppwwfppfpwpwfww. What is prob of sequence wy?\n'
|
b'1/51\n'
|
b'Two letters picked without replacement from yffppwwfppfpwpwfww. What is prob of sequence wy?\n'
|
b'1/51\n'
|
deepmind/math_dataset
|
b'Let j(l) = 8*l + 6*l - 11 + l**2 + 4*l. Suppose 26*a + 379 = -193. Let u(q) = q - 1. Let z(x) = a*u(x) + 2*j(x). What is the second derivative of z(r) wrt r?\n'
|
b'4\n'
|
b'Let j(l) = 8*l + 6*l - 11 + l**2 + 4*l. Suppose 26*a + 379 = -193. Let u(q) = q - 1. Let z(x) = a*u(x) + 2*j(x). What is the second derivative of z(r) wrt r?\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Simplify (((x/(x**(-2/29)/x*x*x))/(x*x**(-17)*x))/(x**(3/4)*((x**4/x)/x)/x))**(-3/32) assuming x is positive.\n'
|
b'x**(-4635/3712)\n'
|
b'Simplify (((x/(x**(-2/29)/x*x*x))/(x*x**(-17)*x))/(x**(3/4)*((x**4/x)/x)/x))**(-3/32) assuming x is positive.\n'
|
b'x**(-4635/3712)\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from qooqooqoqqqqoooooqq. Give prob of picking 2 q.\n'
|
b'4/19\n'
|
b'Two letters picked without replacement from qooqooqoqqqqoooooqq. Give prob of picking 2 q.\n'
|
b'4/19\n'
|
deepmind/math_dataset
|
b'Simplify w**(-1/30)/(w/((w/(w*w**(2/11))*w)/w)*w) assuming w is positive.\n'
|
b'w**(-731/330)\n'
|
b'Simplify w**(-1/30)/(w/((w/(w*w**(2/11))*w)/w)*w) assuming w is positive.\n'
|
b'w**(-731/330)\n'
|
deepmind/math_dataset
|
b'Suppose 0 = 2*f - 5*f + 318. Let o(u) = -27*u**2 + 15*u + 36. Let q be o(-2). Let a = f + q. Solve -2*l = a*p - 30, -p + 27 = 4*l + 2 for p.\n'
|
b'5\n'
|
b'Suppose 0 = 2*f - 5*f + 318. Let o(u) = -27*u**2 + 15*u + 36. Let q be o(-2). Let a = f + q. Solve -2*l = a*p - 30, -p + 27 = 4*l + 2 for p.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Suppose 9 = 3*w - 3. Solve -f = -r + 2*f - w, -5*r = -f - 8 for r.\n'
|
b'2\n'
|
b'Suppose 9 = 3*w - 3. Solve -f = -r + 2*f - w, -5*r = -f - 8 for r.\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let l(y) = 2*y**2 - 89*y - 1284. Let p be l(56). Solve p*r = -3*c - 13 - 12, 4*r - 2*c + 10 = 0 for r.\n'
|
b'-4\n'
|
b'Let l(y) = 2*y**2 - 89*y - 1284. Let p be l(56). Solve p*r = -3*c - 13 - 12, 4*r - 2*c + 10 = 0 for r.\n'
|
b'-4\n'
|
deepmind/math_dataset
|
b'Let r = 515 + -511. Solve -4*l = r*i + 3 + 5, 2*l = -i - 2 for i.\n'
|
b'-2\n'
|
b'Let r = 515 + -511. Solve -4*l = r*i + 3 + 5, 2*l = -i - 2 for i.\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'What is prob of sequence rrr when three letters picked without replacement from {r: 10}?\n'
|
b'1\n'
|
b'What is prob of sequence rrr when three letters picked without replacement from {r: 10}?\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let p be (9/(0 - -3))/3. Let v(r) = -5*r**2 - r + 1. Determine v(p).\n'
|
b'-5\n'
|
b'Let p be (9/(0 - -3))/3. Let v(r) = -5*r**2 - r + 1. Determine v(p).\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Simplify ((n*n**(-4))/n)**(-47)/(n**(1/7)/n**(3/4)) assuming n is positive.\n'
|
b'n**(5281/28)\n'
|
b'Simplify ((n*n**(-4))/n)**(-47)/(n**(1/7)/n**(3/4)) assuming n is positive.\n'
|
b'n**(5281/28)\n'
|
deepmind/math_dataset
|
b'Simplify ((q**(1/6))**(1/2)/((q/q**(-3/13))/(q/((q*q*(q*q/q**(-5/7))/q*q*q)/q))))**8 assuming q is positive.\n'
|
b'q**(-10618/273)\n'
|
b'Simplify ((q**(1/6))**(1/2)/((q/q**(-3/13))/(q/((q*q*(q*q/q**(-5/7))/q*q*q)/q))))**8 assuming q is positive.\n'
|
b'q**(-10618/273)\n'
|
deepmind/math_dataset
|
b'Simplify (k**(2/19)/(k**(2/17)/k))**(19/2) assuming k is positive.\n'
|
b'k**(319/34)\n'
|
b'Simplify (k**(2/19)/(k**(2/17)/k))**(19/2) assuming k is positive.\n'
|
b'k**(319/34)\n'
|
deepmind/math_dataset
|
b'Suppose -8*x + 345 + 959 = 0. Let o = x - 159. Solve -25 = -5*j - 4*s + s, o*s = -5*j + 25 for j.\n'
|
b'5\n'
|
b'Suppose -8*x + 345 + 959 = 0. Let o = x - 159. Solve -25 = -5*j - 4*s + s, o*s = -5*j + 25 for j.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Let m(a) be the third derivative of -a**2 + 0 + 0*a**3 + 0*a**4 - 1/40*a**6 + 0*a - 1/20*a**5. What is the third derivative of m(v) wrt v?\n'
|
b'-18\n'
|
b'Let m(a) be the third derivative of -a**2 + 0 + 0*a**3 + 0*a**4 - 1/40*a**6 + 0*a - 1/20*a**5. What is the third derivative of m(v) wrt v?\n'
|
b'-18\n'
|
deepmind/math_dataset
|
b'Suppose -5*z - 2*b = -19, 4*z + 4*b - 8*b - 32 = 0. Solve -3*x - g + 8 = -4*x, -3*x - z*g + 16 = 0 for x.\n'
|
b'-3\n'
|
b'Suppose -5*z - 2*b = -19, 4*z + 4*b - 8*b - 32 = 0. Solve -3*x - g + 8 = -4*x, -3*x - z*g + 16 = 0 for x.\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let l = 8 - 13. Let c(k) = -k**2 - 4*k - 1. What is c(l)?\n'
|
b'-6\n'
|
b'Let l = 8 - 13. Let c(k) = -k**2 - 4*k - 1. What is c(l)?\n'
|
b'-6\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {k: 7}. What is prob of picking 2 k?\n'
|
b'1\n'
|
b'Two letters picked without replacement from {k: 7}. What is prob of picking 2 k?\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from ffcccglc. Give prob of sequence clcc.\n'
|
b'1/70\n'
|
b'Four letters picked without replacement from ffcccglc. Give prob of sequence clcc.\n'
|
b'1/70\n'
|
deepmind/math_dataset
|
b'Simplify q**(-11/3)*q**(3/5)*((q**(2/41)/q)/q)/(q**16/q*q) assuming q is positive.\n'
|
b'q**(-12926/615)\n'
|
b'Simplify q**(-11/3)*q**(3/5)*((q**(2/41)/q)/q)/(q**16/q*q) assuming q is positive.\n'
|
b'q**(-12926/615)\n'
|
deepmind/math_dataset
|
b'Let t(z) = 0*z + 7*z - 4*z + 3*z + 1 - z**2. What is t(6)?\n'
|
b'1\n'
|
b'Let t(z) = 0*z + 7*z - 4*z + 3*z + 1 - z**2. What is t(6)?\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let f(t) be the first derivative of -t**5/10 + t**3/3 - 5*t**2/2 + 2. Let v(l) be the second derivative of f(l). Find the first derivative of v(i) wrt i.\n'
|
b'-12*i\n'
|
b'Let f(t) be the first derivative of -t**5/10 + t**3/3 - 5*t**2/2 + 2. Let v(l) be the second derivative of f(l). Find the first derivative of v(i) wrt i.\n'
|
b'-12*i\n'
|
deepmind/math_dataset
|
b'What is prob of sequence dbdw when four letters picked without replacement from {w: 2, q: 2, d: 2, b: 3}?\n'
|
b'1/252\n'
|
b'What is prob of sequence dbdw when four letters picked without replacement from {w: 2, q: 2, d: 2, b: 3}?\n'
|
b'1/252\n'
|
deepmind/math_dataset
|
b'Let b(v) = -v**2 + 6*v + 2. Let y(m) = 3*m**2 - 18*m - 6. Let x(k) = 11*b(k) + 4*y(k). Suppose -4*w + 7 + 8 = -5*j, w - j = 4. Determine x(w).\n'
|
b'-7\n'
|
b'Let b(v) = -v**2 + 6*v + 2. Let y(m) = 3*m**2 - 18*m - 6. Let x(k) = 11*b(k) + 4*y(k). Suppose -4*w + 7 + 8 = -5*j, w - j = 4. Determine x(w).\n'
|
b'-7\n'
|
deepmind/math_dataset
|
b'Let i(b) be the third derivative of -b**6/120 + b**4/6 + b**3/2 + 2*b**2. Let w = 309 - 311. Give i(w).\n'
|
b'3\n'
|
b'Let i(b) be the third derivative of -b**6/120 + b**4/6 + b**3/2 + 2*b**2. Let w = 309 - 311. Give i(w).\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'What is prob of sequence yonn when four letters picked without replacement from {n: 4, y: 6, o: 10}?\n'
|
b'2/323\n'
|
b'What is prob of sequence yonn when four letters picked without replacement from {n: 4, y: 6, o: 10}?\n'
|
b'2/323\n'
|
deepmind/math_dataset
|
b'Let f(z) = 1769*z**2 - 827*z. Let w(c) = c**2 - c. Let u(l) = f(l) - 12*w(l). Find the second derivative of u(i) wrt i.\n'
|
b'3514\n'
|
b'Let f(z) = 1769*z**2 - 827*z. Let w(c) = c**2 - c. Let u(l) = f(l) - 12*w(l). Find the second derivative of u(i) wrt i.\n'
|
b'3514\n'
|
deepmind/math_dataset
|
b'Let q = -104 - 22. Let v = -111 - q. Suppose 5*d - v = -h, h - 5*d + 3 = -2. Solve -k - 3*r = 2, 0*k + 18 = 2*k - h*r for k.\n'
|
b'4\n'
|
b'Let q = -104 - 22. Let v = -111 - q. Suppose 5*d - v = -h, h - 5*d + 3 = -2. Solve -k - 3*r = 2, 0*k + 18 = 2*k - h*r for k.\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Let n(h) = h**2 - 8 - 3*h + 3*h - 4*h + 0*h. Suppose -4*q - 3*j + 4 + 15 = 0, -q = 5*j + 8. Determine n(q).\n'
|
b'13\n'
|
b'Let n(h) = h**2 - 8 - 3*h + 3*h - 4*h + 0*h. Suppose -4*q - 3*j + 4 + 15 = 0, -q = 5*j + 8. Determine n(q).\n'
|
b'13\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {v: 12, h: 1}. What is prob of sequence vvvv?\n'
|
b'9/13\n'
|
b'Four letters picked without replacement from {v: 12, h: 1}. What is prob of sequence vvvv?\n'
|
b'9/13\n'
|
deepmind/math_dataset
|
b'Let m = 71 + -64. Solve 5*b = -m*y + 4*y + 6, y = -3*b + 2 for y.\n'
|
b'2\n'
|
b'Let m = 71 + -64. Solve 5*b = -m*y + 4*y + 6, y = -3*b + 2 for y.\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Simplify ((((i**(-3)*i)/i)/i**(-15/2))/(i/i**(-1/6)*i**25))**(-45) assuming i is positive.\n'
|
b'i**975\n'
|
b'Simplify ((((i**(-3)*i)/i)/i**(-15/2))/(i/i**(-1/6)*i**25))**(-45) assuming i is positive.\n'
|
b'i**975\n'
|
deepmind/math_dataset
|
b'Simplify (t/t**(3/8))/t*t**(13/3) assuming t is positive.\n'
|
b't**(95/24)\n'
|
b'Simplify (t/t**(3/8))/t*t**(13/3) assuming t is positive.\n'
|
b't**(95/24)\n'
|
deepmind/math_dataset
|
b'Simplify ((g/(g*(g*((g**0/g)/g)/g*g)/g)*g)/g)**(13/2)*g**(-2)/g**(2/13)*((g**(2/3)*g*g)**(-11))**(-13/7) assuming g is positive.\n'
|
b'g**(17833/273)\n'
|
b'Simplify ((g/(g*(g*((g**0/g)/g)/g*g)/g)*g)/g)**(13/2)*g**(-2)/g**(2/13)*((g**(2/3)*g*g)**(-11))**(-13/7) assuming g is positive.\n'
|
b'g**(17833/273)\n'
|
deepmind/math_dataset
|
b'What is prob of sequence hhhh when four letters picked without replacement from {h: 4, s: 2}?\n'
|
b'1/15\n'
|
b'What is prob of sequence hhhh when four letters picked without replacement from {h: 4, s: 2}?\n'
|
b'1/15\n'
|
deepmind/math_dataset
|
b'Let y be (1/(-3))/(2/(-18)). Find the first derivative of -228 + 5*d - 7*d**3 + 2*d**3 + y*d**2 - 3*d**2 + 15*d**3 wrt d.\n'
|
b'30*d**2 + 5\n'
|
b'Let y be (1/(-3))/(2/(-18)). Find the first derivative of -228 + 5*d - 7*d**3 + 2*d**3 + y*d**2 - 3*d**2 + 15*d**3 wrt d.\n'
|
b'30*d**2 + 5\n'
|
deepmind/math_dataset
|
b'Suppose 4*s = -3*g + 9, 0*g = g - s - 3. Suppose g*z = -4*m - 0*m + 24, m = 4*z - 13. Solve 0*a - m*a = -d + 16, 0 = -4*a - 20 for d.\n'
|
b'1\n'
|
b'Suppose 4*s = -3*g + 9, 0*g = g - s - 3. Suppose g*z = -4*m - 0*m + 24, m = 4*z - 13. Solve 0*a - m*a = -d + 16, 0 = -4*a - 20 for d.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Suppose 5*p - 64 = -3*y + 56, -y + 89 = 4*p. Let g = 24 - p. Let u = 25 - 21. Solve -u*c = 3*f - 15, 17 + g = 4*f for c.\n'
|
b'0\n'
|
b'Suppose 5*p - 64 = -3*y + 56, -y + 89 = 4*p. Let g = 24 - p. Let u = 25 - 21. Solve -u*c = 3*f - 15, 17 + g = 4*f for c.\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence nddd when four letters picked without replacement from nndddddxndxdddd.\n'
|
b'6/91\n'
|
b'Calculate prob of sequence nddd when four letters picked without replacement from nndddddxndxdddd.\n'
|
b'6/91\n'
|
deepmind/math_dataset
|
b'Simplify (((q**(1/4)*q)/q)/(q*q**(-2/5)))**(-2/37) assuming q is positive.\n'
|
b'q**(7/370)\n'
|
b'Simplify (((q**(1/4)*q)/q)/(q*q**(-2/5)))**(-2/37) assuming q is positive.\n'
|
b'q**(7/370)\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from huu. What is prob of picking 1 u and 1 h?\n'
|
b'2/3\n'
|
b'Two letters picked without replacement from huu. What is prob of picking 1 u and 1 h?\n'
|
b'2/3\n'
|
deepmind/math_dataset
|
b'Suppose -5*b - z = -83, -2*b - 76 = -6*b - 4*z. Suppose 0 = -5*s - 5*x + 10, 0 = -b*x + 19*x. Solve -s = -5*g + u, -2*g - g = -3*u - 6 for g.\n'
|
b'0\n'
|
b'Suppose -5*b - z = -83, -2*b - 76 = -6*b - 4*z. Suppose 0 = -5*s - 5*x + 10, 0 = -b*x + 19*x. Solve -s = -5*g + u, -2*g - g = -3*u - 6 for g.\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from ndndn. Give prob of sequence dnn.\n'
|
b'1/5\n'
|
b'Three letters picked without replacement from ndndn. Give prob of sequence dnn.\n'
|
b'1/5\n'
|
deepmind/math_dataset
|
b'Let r be (-1)/4 - 3/(-12). Suppose 18*z - 13*z - 15 = r. Suppose -50 = -5*y - 3*n - 16, 5*n = z*y. Solve -5*o + 0*o = -3*m + 10, y*o - m = 0 for o.\n'
|
b'1\n'
|
b'Let r be (-1)/4 - 3/(-12). Suppose 18*z - 13*z - 15 = r. Suppose -50 = -5*y - 3*n - 16, 5*n = z*y. Solve -5*o + 0*o = -3*m + 10, y*o - m = 0 for o.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Find the third derivative of 453851 - 293*s**2 + 3071*s**3 - 453851 wrt s.\n'
|
b'18426\n'
|
b'Find the third derivative of 453851 - 293*s**2 + 3071*s**3 - 453851 wrt s.\n'
|
b'18426\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {m: 1, x: 1, k: 1, c: 1, s: 1, d: 2}.\n'
|
b'1/21\n'
|
b'Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {m: 1, x: 1, k: 1, c: 1, s: 1, d: 2}.\n'
|
b'1/21\n'
|
deepmind/math_dataset
|
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