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'Suppose 0 = -2*o - 5*v + 16, -v - 3 + 5 = 0. Solve 35 = -o*a - 5*m, 0 = 5*a - 0*a + m + 29 for a.\n' | b'-5\n' | b'Suppose 0 = -2*o - 5*v + 16, -v - 3 + 5 = 0. Solve 35 = -o*a - 5*m, 0 = 5*a - 0*a + m + 29 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m = 537 - 535. Let f(o) be the third derivative of 0*o**6 + 0*o + 1/30*o**7 + 0*o**4 - 11/6*o**3 + 0*o**5 + 0 - m*o**2. Differentiate f(c) wrt c.\n' | b'28*c**3\n' | b'Let m = 537 - 535. Let f(o) be the third derivative of 0*o**6 + 0*o + 1/30*o**7 + 0*o**4 - 11/6*o**3 + 0*o**5 + 0 - m*o**2. Differentiate f(c) wrt c.\n' | b'28*c**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, h: 2, f: 1, i: 1}. Give prob of sequence fi.\n' | b'1/20\n' | b'Two letters picked without replacement from {c: 1, h: 2, f: 1, i: 1}. Give prob of sequence fi.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let h(a) = -a**2 - 7*a - 4. Suppose -2*t + t - n - 6 = 0, 2*n = -4*t - 24. Calculate h(t).\n' | b'2\n' | b'Let h(a) = -a**2 - 7*a - 4. Suppose -2*t + t - n - 6 = 0, 2*n = -4*t - 24. Calculate h(t).\n' | b'2\n' | deepmind/math_dataset |
b'Let z be (-1)/(4/9)*-4. Let w = z + -15. Let r(h) = h + 8. Give r(w).\n' | b'2\n' | b'Let z be (-1)/(4/9)*-4. Let w = z + -15. Let r(h) = h + 8. Give r(w).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 1, r: 2, d: 6, a: 2, q: 1}. Give prob of picking 1 r, 1 n, 1 d, and 1 a.\n' | b'8/165\n' | b'Four letters picked without replacement from {n: 1, r: 2, d: 6, a: 2, q: 1}. Give prob of picking 1 r, 1 n, 1 d, and 1 a.\n' | b'8/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, m: 4, o: 2, a: 2}. What is prob of picking 1 m and 1 a?\n' | b'2/9\n' | b'Two letters picked without replacement from {c: 1, m: 4, o: 2, a: 2}. What is prob of picking 1 m and 1 a?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let m(t) be the first derivative of 309*t**6/2 + t**5/5 - t**2/2 + 977*t - 555. Find the second derivative of m(b) wrt b.\n' | b'18540*b**3 + 12*b**2\n' | b'Let m(t) be the first derivative of 309*t**6/2 + t**5/5 - t**2/2 + 977*t - 555. Find the second derivative of m(b) wrt b.\n' | b'18540*b**3 + 12*b**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, h: 4, d: 8, t: 5}. What is prob of picking 1 h, 1 t, and 1 d?\n' | b'160/969\n' | b'Three letters picked without replacement from {p: 2, h: 4, d: 8, t: 5}. What is prob of picking 1 h, 1 t, and 1 d?\n' | b'160/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fmff. What is prob of sequence ff?\n' | b'1/2\n' | b'Two letters picked without replacement from fmff. What is prob of sequence ff?\n' | b'1/2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, u: 6, w: 1, b: 2, q: 4, h: 2}. What is prob of sequence xhx?\n' | b'1/1020\n' | b'Three letters picked without replacement from {x: 2, u: 6, w: 1, b: 2, q: 4, h: 2}. What is prob of sequence xhx?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Let b be 1/(-3) - (-65)/15. Suppose -3*y + 20 = 2*y. Find the third derivative of -l**2 - 2*l**2 + 2*l**b - l**y wrt l.\n' | b'24*l\n' | b'Let b be 1/(-3) - (-65)/15. Suppose -3*y + 20 = 2*y. Find the third derivative of -l**2 - 2*l**2 + 2*l**b - l**y wrt l.\n' | b'24*l\n' | deepmind/math_dataset |
b'Simplify ((n**(2/7)/n)**23/(n/(n/n**0*n))**(9/8))**36 assuming n is positive.\n' | b'n**(-7713/14)\n' | b'Simplify ((n**(2/7)/n)**23/(n/(n/n**0*n))**(9/8))**36 assuming n is positive.\n' | b'n**(-7713/14)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 2 g when three letters picked without replacement from wwgwwwjwgwwgwg.\n' | b'27/182\n' | b'Calculate prob of picking 1 w and 2 g when three letters picked without replacement from wwgwwwjwgwwgwg.\n' | b'27/182\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, b: 1, m: 1, g: 1, w: 1}. Give prob of sequence bw.\n' | b'1/20\n' | b'Two letters picked without replacement from {s: 1, b: 1, m: 1, g: 1, w: 1}. Give prob of sequence bw.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let j(z) = -21*z + 31. Let t(f) = 5*f - 8. Let w(y) = -2*j(y) - 9*t(y). Let r(c) = 38*c + 81. Let m be r(-2). What is w(m)?\n' | b'-5\n' | b'Let j(z) = -21*z + 31. Let t(f) = 5*f - 8. Let w(y) = -2*j(y) - 9*t(y). Let r(c) = 38*c + 81. Let m be r(-2). What is w(m)?\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence bpmd when four letters picked without replacement from {u: 5, d: 1, p: 2, b: 6, m: 1}.\n' | b'1/2730\n' | b'Calculate prob of sequence bpmd when four letters picked without replacement from {u: 5, d: 1, p: 2, b: 6, m: 1}.\n' | b'1/2730\n' | deepmind/math_dataset |
b'Suppose -a + 240 = 14*a. Suppose 33 = 5*y - 3*v, 0*v = -3*y - 2*v + a. Let k(f) = f**3 - 5*f**2 - 5*f - 2. What is k(y)?\n' | b'4\n' | b'Suppose -a + 240 = 14*a. Suppose 33 = 5*y - 3*v, 0*v = -3*y - 2*v + a. Let k(f) = f**3 - 5*f**2 - 5*f - 2. What is k(y)?\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence ew when two letters picked without replacement from zwwe?\n' | b'1/6\n' | b'What is prob of sequence ew when two letters picked without replacement from zwwe?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let q(i) be the third derivative of 8/3*i**3 + 41/8*i**4 + 0*i + 0 - 166*i**2. What is the derivative of q(m) wrt m?\n' | b'123\n' | b'Let q(i) be the third derivative of 8/3*i**3 + 41/8*i**4 + 0*i + 0 - 166*i**2. What is the derivative of q(m) wrt m?\n' | b'123\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jffjkfkfffkfk. Give prob of sequence fkjf.\n' | b'14/715\n' | b'Four letters picked without replacement from jffjkfkfffkfk. Give prob of sequence fkjf.\n' | b'14/715\n' | deepmind/math_dataset |
b'Simplify d**(-8/5)*(d*d*d**21)/d assuming d is positive.\n' | b'd**(102/5)\n' | b'Simplify d**(-8/5)*(d*d*d**21)/d assuming d is positive.\n' | b'd**(102/5)\n' | deepmind/math_dataset |
b'Let c(k) = -9*k**2 - k + 3. Let m(f) = -f**2 + 1. Let n(g) = c(g) - 3*m(g). Let l(r) = -r**2 - r - 1. Let p be l(0). What is n(p)?\n' | b'-5\n' | b'Let c(k) = -9*k**2 - k + 3. Let m(f) = -f**2 + 1. Let n(g) = c(g) - 3*m(g). Let l(r) = -r**2 - r - 1. Let p be l(0). What is n(p)?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gzggggqgpppppgp. Give prob of picking 2 p.\n' | b'1/7\n' | b'Two letters picked without replacement from gzggggqgpppppgp. Give prob of picking 2 p.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let d(m) = m**3 + 12*m**2 - 5*m - 10. Let g be ((-1215)/(-54) - 22)/(1/(-24)). Determine d(g).\n' | b'50\n' | b'Let d(m) = m**3 + 12*m**2 - 5*m - 10. Let g be ((-1215)/(-54) - 22)/(1/(-24)). Determine d(g).\n' | b'50\n' | deepmind/math_dataset |
b'Let x(s) be the first derivative of -s**5/60 - s**3/3 - s**2 - 3. Let b(v) be the second derivative of x(v). What is the derivative of b(r) wrt r?\n' | b'-2*r\n' | b'Let x(s) be the first derivative of -s**5/60 - s**3/3 - s**2 - 3. Let b(v) be the second derivative of x(v). What is the derivative of b(r) wrt r?\n' | b'-2*r\n' | deepmind/math_dataset |
b'Suppose -32 = -4*z - 8. Let u(q) = -q**2 + 7*q - 4. Let f be u(z). What is the derivative of 12*v - 12*v - f*v**4 - 3 wrt v?\n' | b'-8*v**3\n' | b'Suppose -32 = -4*z - 8. Let u(q) = -q**2 + 7*q - 4. Let f be u(z). What is the derivative of 12*v - 12*v - f*v**4 - 3 wrt v?\n' | b'-8*v**3\n' | deepmind/math_dataset |
b'Find the second derivative of -7*j**2 - 6*j + 4*j**2 - 13*j**2 - j**2 wrt j.\n' | b'-34\n' | b'Find the second derivative of -7*j**2 - 6*j + 4*j**2 - 13*j**2 - j**2 wrt j.\n' | b'-34\n' | deepmind/math_dataset |
b'Let h be (-3 + 5 - 3) + 348/288. Let j(i) be the third derivative of 0 - 16*i**2 + 0*i**3 + h*i**4 + 0*i. Give j(-1).\n' | b'-5\n' | b'Let h be (-3 + 5 - 3) + 348/288. Let j(i) be the third derivative of 0 - 16*i**2 + 0*i**3 + h*i**4 + 0*i. Give j(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, y: 6, l: 3, g: 2, w: 3}. What is prob of sequence gl?\n' | b'1/40\n' | b'Two letters picked without replacement from {o: 2, y: 6, l: 3, g: 2, w: 3}. What is prob of sequence gl?\n' | b'1/40\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, c: 14}. What is prob of picking 2 c and 1 i?\n' | b'1/5\n' | b'Three letters picked without replacement from {i: 1, c: 14}. What is prob of picking 2 c and 1 i?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let a(z) = 73*z - 1967. Let d be a(27). Solve 4*y + 2*w = 10, 0 = -5*y - d*w + 13 - 2 for y.\n' | b'3\n' | b'Let a(z) = 73*z - 1967. Let d be a(27). Solve 4*y + 2*w = 10, 0 = -5*y - d*w + 13 - 2 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let l(g) = 74*g**3 - 6*g**2 - g - 80. Let j(f) = -147*f**3 + 10*f**2 + f + 159. Let t(m) = -3*j(m) - 5*l(m). Find the second derivative of t(v) wrt v.\n' | b'426*v\n' | b'Let l(g) = 74*g**3 - 6*g**2 - g - 80. Let j(f) = -147*f**3 + 10*f**2 + f + 159. Let t(m) = -3*j(m) - 5*l(m). Find the second derivative of t(v) wrt v.\n' | b'426*v\n' | deepmind/math_dataset |
b'Let k(w) = 2*w**2 - 17*w + 33. Let p be k(6). Solve d - 2 = 3*g - p, 0 = -5*d + 4*g + 6 for d.\n' | b'2\n' | b'Let k(w) = 2*w**2 - 17*w + 33. Let p be k(6). Solve d - 2 = 3*g - p, 0 = -5*d + 4*g + 6 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 10 = a + 15, -2*a - 10 = -5*w. Let k(l) be the third derivative of -1/60*l**5 + w + 3*l**2 - 5/6*l**3 + 0*l - 1/3*l**4. What is k(-6)?\n' | b'7\n' | b'Suppose 10 = a + 15, -2*a - 10 = -5*w. Let k(l) be the third derivative of -1/60*l**5 + w + 3*l**2 - 5/6*l**3 + 0*l - 1/3*l**4. What is k(-6)?\n' | b'7\n' | deepmind/math_dataset |
b'Let g(t) = t**3 + 6*t**2 + 2*t - 7. Let u be (17 - 0) + (-2 - 0). Suppose 0 = -2*m - 2*m - 4*k + 4, -4*m = -4*k + 4. Suppose -3*c - u = -m*c. Give g(c).\n' | b'8\n' | b'Let g(t) = t**3 + 6*t**2 + 2*t - 7. Let u be (17 - 0) + (-2 - 0). Suppose 0 = -2*m - 2*m - 4*k + 4, -4*m = -4*k + 4. Suppose -3*c - u = -m*c. Give g(c).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 b when three letters picked without replacement from bbbrbbmrbbrbobbmbobo?\n' | b'3/95\n' | b'What is prob of picking 2 r and 1 b when three letters picked without replacement from bbbrbbmrbbrbobbmbobo?\n' | b'3/95\n' | deepmind/math_dataset |
b'Let g be (6/10)/((-1080)/4500)*2. Let l(v) = -3 + 5 - v + 3*v. Give l(g).\n' | b'-8\n' | b'Let g be (6/10)/((-1080)/4500)*2. Let l(v) = -3 + 5 - v + 3*v. Give l(g).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 2*p = -d + 7, -6*p - 5*d - 25 = -8*p. Let u(s) = s**2 - 11*s + 5. Calculate u(p).\n' | b'-25\n' | b'Suppose 2*p = -d + 7, -6*p - 5*d - 25 = -8*p. Let u(s) = s**2 - 11*s + 5. Calculate u(p).\n' | b'-25\n' | deepmind/math_dataset |
b'What is prob of sequence hhho when four letters picked without replacement from {o: 7, h: 6}?\n' | b'7/143\n' | b'What is prob of sequence hhho when four letters picked without replacement from {o: 7, h: 6}?\n' | b'7/143\n' | deepmind/math_dataset |
b'Suppose -3 = -v - 3*g - 10, 0 = 5*v - 5*g - 25. Let a(x) = -x**2 + 0*x**3 - v*x**3 + 2*x + 2 + 0*x**2. Suppose -11*d - 6*d - 34 = 0. Determine a(d).\n' | b'10\n' | b'Suppose -3 = -v - 3*g - 10, 0 = 5*v - 5*g - 25. Let a(x) = -x**2 + 0*x**3 - v*x**3 + 2*x + 2 + 0*x**2. Suppose -11*d - 6*d - 34 = 0. Determine a(d).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((((v/((v/(v/(v*v**(1/4))))/v))/v)/v)**(-3/11)*(v*v/(v**(2/7)*v)*v)**1)**24 assuming v is positive.\n' | b'v**(3798/77)\n' | b'Simplify ((((v/((v/(v/(v*v**(1/4))))/v))/v)/v)**(-3/11)*(v*v/(v**(2/7)*v)*v)**1)**24 assuming v is positive.\n' | b'v**(3798/77)\n' | deepmind/math_dataset |
b'Let u = 10 - 7. Let t = -506 + 508. Solve -t*r = -b + 10, 2*r + 4*b + 2 = u*b for r.\n' | b'-3\n' | b'Let u = 10 - 7. Let t = -506 + 508. Solve -t*r = -b + 10, 2*r + 4*b + 2 = u*b for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(m) = -m**2 - 7*m + 11. Let i be d(-8). Solve -4*h + 4 = i*f + f, 4*h + 2 = 2*f for f.\n' | b'1\n' | b'Let d(m) = -m**2 - 7*m + 11. Let i be d(-8). Solve -4*h + 4 = i*f + f, 4*h + 2 = 2*f for f.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 m when three letters picked without replacement from {m: 3, v: 11}.\n' | b'165/364\n' | b'Calculate prob of picking 2 v and 1 m when three letters picked without replacement from {m: 3, v: 11}.\n' | b'165/364\n' | deepmind/math_dataset |
b'Let y(v) = -26*v + 106. Let r be y(4). Solve 4*h - 5*s = r, 4*s = -0*h + 4*h for h.\n' | b'-2\n' | b'Let y(v) = -26*v + 106. Let r be y(4). Solve 4*h - 5*s = r, 4*s = -0*h + 4*h for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(p) = -p**2 - p + 1. Let y(z) = 4*z**2 + 7*z - 2. Let h(r) = 5*u(r) + y(r). Let n(j) = j**2 - 1. Let f be n(2). Give h(f).\n' | b'0\n' | b'Let u(p) = -p**2 - p + 1. Let y(z) = 4*z**2 + 7*z - 2. Let h(r) = 5*u(r) + y(r). Let n(j) = j**2 - 1. Let f be n(2). Give h(f).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 y, and 2 d when four letters picked without replacement from {k: 1, d: 4, f: 4, c: 1, y: 5, b: 3}.\n' | b'1/102\n' | b'Calculate prob of picking 1 c, 1 y, and 2 d when four letters picked without replacement from {k: 1, d: 4, f: 4, c: 1, y: 5, b: 3}.\n' | b'1/102\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 13, s: 5}. Give prob of sequence so.\n' | b'65/306\n' | b'Two letters picked without replacement from {o: 13, s: 5}. Give prob of sequence so.\n' | b'65/306\n' | deepmind/math_dataset |
b'Suppose -4*q + 201 = -5*g, -g + 5*q - 94 = g. Let r = 41 + g. Solve -3*z = -c + r, 3*c - 29 = 7*c + 3*z for c.\n' | b'-5\n' | b'Suppose -4*q + 201 = -5*g, -g + 5*q - 94 = g. Let r = 41 + g. Solve -3*z = -c + r, 3*c - 29 = 7*c + 3*z for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y**(-12)/y*y**(-7/4)*y)**(-4/11)/((y/y**1)**(-19)*y**(-7)/y**(-5)) assuming y is positive.\n' | b'y**7\n' | b'Simplify (y**(-12)/y*y**(-7/4)*y)**(-4/11)/((y/y**1)**(-19)*y**(-7)/y**(-5)) assuming y is positive.\n' | b'y**7\n' | deepmind/math_dataset |
b'Let y(p) = -p**3 + 31*p**2 - 56*p - 31. Let q be y(29). Suppose 5*t + 22 = -m + 42, -3*m = 4*t - q. Solve -2*k + 8 = c, 7 = -2*k + t*c - 1 for k.\n' | b'2\n' | b'Let y(p) = -p**3 + 31*p**2 - 56*p - 31. Let q be y(29). Suppose 5*t + 22 = -m + 42, -3*m = 4*t - q. Solve -2*k + 8 = c, 7 = -2*k + t*c - 1 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/9))**18*((f*f/((f/f**(-23)*f)/f)*f*f*f*f)/f)/(f**10/f))**(-3/7) assuming f is positive.\n' | b'f**(96/7)\n' | b'Simplify ((f**(-2/9))**18*((f*f/((f/f**(-23)*f)/f)*f*f*f*f)/f)/(f**10/f))**(-3/7) assuming f is positive.\n' | b'f**(96/7)\n' | deepmind/math_dataset |
b'Let f(y) be the first derivative of -y**2/2 + y - 8. Let k(q) = -2*q - 3*q - 1 + 13. Let m(g) = -24*f(g) + 3*k(g). Find the first derivative of m(h) wrt h.\n' | b'9\n' | b'Let f(y) be the first derivative of -y**2/2 + y - 8. Let k(q) = -2*q - 3*q - 1 + 13. Let m(g) = -24*f(g) + 3*k(g). Find the first derivative of m(h) wrt h.\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, v: 2, c: 3, j: 1, n: 2}. What is prob of picking 1 c and 1 j?\n' | b'1/22\n' | b'Two letters picked without replacement from {x: 4, v: 2, c: 3, j: 1, n: 2}. What is prob of picking 1 c and 1 j?\n' | b'1/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, j: 1, v: 1, h: 1, t: 1, r: 2}. Give prob of picking 1 j and 1 e.\n' | b'1/21\n' | b'Two letters picked without replacement from {e: 1, j: 1, v: 1, h: 1, t: 1, r: 2}. Give prob of picking 1 j and 1 e.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of sequence iioi when four letters picked without replacement from oiii?\n' | b'1/4\n' | b'What is prob of sequence iioi when four letters picked without replacement from oiii?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let n(i) be the third derivative of -2*i**7/21 - i**5/3 + 19*i**2. Find the third derivative of n(v) wrt v.\n' | b'-480*v\n' | b'Let n(i) be the third derivative of -2*i**7/21 - i**5/3 + 19*i**2. Find the third derivative of n(v) wrt v.\n' | b'-480*v\n' | deepmind/math_dataset |
b'Suppose -13*i + 8*i + 10 = 0. Suppose -28 = -2*y - 4*r, -i*r + 3*r + 48 = 5*y. Let h be ((-4)/6)/(1/(-3)). Solve -h*l - 12 = n, 2 = -n + 3*l + y for n.\n' | b'-4\n' | b'Suppose -13*i + 8*i + 10 = 0. Suppose -28 = -2*y - 4*r, -i*r + 3*r + 48 = 5*y. Let h be ((-4)/6)/(1/(-3)). Solve -h*l - 12 = n, 2 = -n + 3*l + y for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (p*(p*p/p**38)/p)**(-3/5)/((p**(11/3)/p)/p**(-29)) assuming p is positive.\n' | b'p**(-151/15)\n' | b'Simplify (p*(p*p/p**38)/p)**(-3/5)/((p**(11/3)/p)/p**(-29)) assuming p is positive.\n' | b'p**(-151/15)\n' | deepmind/math_dataset |
b'Simplify g**(-5)/(g**(-4)*g)*g/g**(-2)*g**(-8) assuming g is positive.\n' | b'g**(-7)\n' | b'Simplify g**(-5)/(g**(-4)*g)*g/g**(-2)*g**(-8) assuming g is positive.\n' | b'g**(-7)\n' | deepmind/math_dataset |
b'Let m = 34 + -30. Suppose 3*i = 2 + m. Find the third derivative of -7*r**i - 9*r**5 - 2*r**2 + 4*r**2 wrt r.\n' | b'-540*r**2\n' | b'Let m = 34 + -30. Suppose 3*i = 2 + m. Find the third derivative of -7*r**i - 9*r**5 - 2*r**2 + 4*r**2 wrt r.\n' | b'-540*r**2\n' | deepmind/math_dataset |
b'Simplify ((z/z**(-2/7))**19/((z*z**(-5))/(z**(1/5)/z)))/((z/(z*((z*(z**(-1/2)/z*z)/z)/z)/z)*z)**(-3/5)*(z**(1/5)*z)/(z*z**0)) assuming z is positive.\n' | b'z**(2067/70)\n' | b'Simplify ((z/z**(-2/7))**19/((z*z**(-5))/(z**(1/5)/z)))/((z/(z*((z*(z**(-1/2)/z*z)/z)/z)/z)*z)**(-3/5)*(z**(1/5)*z)/(z*z**0)) assuming z is positive.\n' | b'z**(2067/70)\n' | deepmind/math_dataset |
b'Let j(r) = 3*r - 16. Let x be j(7). Suppose 0*h - 2*h + 18 = 0. What is the second derivative of h*p**x - 5*p + 21*p - 4*p wrt p?\n' | b'180*p**3\n' | b'Let j(r) = 3*r - 16. Let x be j(7). Suppose 0*h - 2*h + 18 = 0. What is the second derivative of h*p**x - 5*p + 21*p - 4*p wrt p?\n' | b'180*p**3\n' | deepmind/math_dataset |
b'Let z be ((-2)/7)/((-3)/21). What is the second derivative of -i + 3*i**z - 5 + 1 + 4 wrt i?\n' | b'6\n' | b'Let z be ((-2)/7)/((-3)/21). What is the second derivative of -i + 3*i**z - 5 + 1 + 4 wrt i?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0 = -5*p + 5*u + 35, -4*p + u + 22 + 9 = 0. Suppose -2*q - 5*i = 6, 3*q - 5*i = p*q. What is the derivative of 0*z**q - 5*z**2 + 6 + z**2 wrt z?\n' | b'-8*z\n' | b'Suppose 0 = -5*p + 5*u + 35, -4*p + u + 22 + 9 = 0. Suppose -2*q - 5*i = 6, 3*q - 5*i = p*q. What is the derivative of 0*z**q - 5*z**2 + 6 + z**2 wrt z?\n' | b'-8*z\n' | deepmind/math_dataset |
b'Let h(r) be the second derivative of r**3/6 - 15*r**2/2 - r. Suppose 191*c - 1309 = 72*c. What is h(c)?\n' | b'-4\n' | b'Let h(r) be the second derivative of r**3/6 - 15*r**2/2 - r. Suppose 191*c - 1309 = 72*c. What is h(c)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence tpp when three letters picked without replacement from pgptppptpptptpgg.\n' | b'3/35\n' | b'Calculate prob of sequence tpp when three letters picked without replacement from pgptppptpptptpgg.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let f be ((30/3)/5)/2. Let o(b) = 7*b**3 + b**2 - b. What is o(f)?\n' | b'7\n' | b'Let f be ((30/3)/5)/2. Let o(b) = 7*b**3 + b**2 - b. What is o(f)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-2/5))**24)**(1/5)/((t/(t/(t**1/t)*t*t))**0)**(-1/6) assuming t is positive.\n' | b't**(72/25)\n' | b'Simplify ((t*t**(-2/5))**24)**(1/5)/((t/(t/(t**1/t)*t*t))**0)**(-1/6) assuming t is positive.\n' | b't**(72/25)\n' | deepmind/math_dataset |
b'Simplify (((((p/(p**(5/2)*p*p))/p)/p)/p*p)/p)/(p/p**(15/2)*p)*(p**3/p)**(-2) assuming p is positive.\n' | b'p**(-5)\n' | b'Simplify (((((p/(p**(5/2)*p*p))/p)/p)/p*p)/p)/(p/p**(15/2)*p)*(p**3/p)**(-2) assuming p is positive.\n' | b'p**(-5)\n' | deepmind/math_dataset |
b'Let x(m) = 3*m**2 + 39*m + 39. Let p be x(-1). Solve 0 = 2*f + 4*r - 2, p*r - 1 - 8 = -4*f for f.\n' | b'3\n' | b'Let x(m) = 3*m**2 + 39*m + 39. Let p be x(-1). Solve 0 = 2*f + 4*r - 2, p*r - 1 - 8 = -4*f for f.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vff when three letters picked without replacement from ftvvtrnftnrt.\n' | b'1/330\n' | b'Calculate prob of sequence vff when three letters picked without replacement from ftvvtrnftnrt.\n' | b'1/330\n' | deepmind/math_dataset |
b'Let a(b) be the first derivative of -39*b**4/4 - 2*b**3/3 + 47*b + 67. Differentiate a(s) with respect to s.\n' | b'-117*s**2 - 4*s\n' | b'Let a(b) be the first derivative of -39*b**4/4 - 2*b**3/3 + 47*b + 67. Differentiate a(s) with respect to s.\n' | b'-117*s**2 - 4*s\n' | deepmind/math_dataset |
b'Simplify ((m**(-2)/m)/(m/((m*(m/m**5)/m)/m*m)))**(-31)/(((m/((m/(m**(-2/3)/m)*m)/m*m*m))/m)**(1/40)/(m**(-1)*m*m**(-4/9)/m)) assuming m is positive.\n' | b'm**(44401/180)\n' | b'Simplify ((m**(-2)/m)/(m/((m*(m/m**5)/m)/m*m)))**(-31)/(((m/((m/(m**(-2/3)/m)*m)/m*m*m))/m)**(1/40)/(m**(-1)*m*m**(-4/9)/m)) assuming m is positive.\n' | b'm**(44401/180)\n' | deepmind/math_dataset |
b'Let b be ((-1)/(-13))/((-321)/(-54249)). Solve 4*r - 7 = -3*n, 20 = 5*n + 2*r + b for n.\n' | b'1\n' | b'Let b be ((-1)/(-13))/((-321)/(-54249)). Solve 4*r - 7 = -3*n, 20 = 5*n + 2*r + b for n.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(b) = -2*b**2 - 10*b + 2. Let l be g(-7). Let m be l/(-6) - 1/3. Suppose q = -m*q + 5. Solve -3*r + 15 = 0, 3*h + 3 = -2*r + q for h.\n' | b'-4\n' | b'Let g(b) = -2*b**2 - 10*b + 2. Let l be g(-7). Let m be l/(-6) - 1/3. Suppose q = -m*q + 5. Solve -3*r + 15 = 0, 3*h + 3 = -2*r + q for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((h**(2/3)*h)**(-1/16)/(((h*h**(-2/3)*h)/h)/h)**(-47))/(h**(-2/7)*h**4*h*((h**(-2/3)/h)/h)**(-36)) assuming h is positive.\n' | b'h**(-14801/112)\n' | b'Simplify ((h**(2/3)*h)**(-1/16)/(((h*h**(-2/3)*h)/h)/h)**(-47))/(h**(-2/7)*h**4*h*((h**(-2/3)/h)/h)**(-36)) assuming h is positive.\n' | b'h**(-14801/112)\n' | deepmind/math_dataset |
b'Let u(z) = 6*z**2 - 24 - 2*z - z - 2*z - z**3 + 31. Suppose 5*g - 4*h = 37, 0*g - 4*g + 5 = 5*h. Give u(g).\n' | b'7\n' | b'Let u(z) = 6*z**2 - 24 - 2*z - z - 2*z - z**3 + 31. Suppose 5*g - 4*h = 37, 0*g - 4*g + 5 = 5*h. Give u(g).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 10, m: 9}. What is prob of picking 2 r and 2 m?\n' | b'135/323\n' | b'Four letters picked without replacement from {r: 10, m: 9}. What is prob of picking 2 r and 2 m?\n' | b'135/323\n' | deepmind/math_dataset |
b'Suppose -28 = -4*w + 5*v, -9*w + 6*w = -v - 32. Solve -4*l + 13 = -5*h, 4*l - 2*h = 2*h + w for l.\n' | b'2\n' | b'Suppose -28 = -4*w + 5*v, -9*w + 6*w = -v - 32. Solve -4*l + 13 = -5*h, 4*l - 2*h = 2*h + w for l.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((r/(((r**1*r*r)/r)/r))**(6/13))**(-2/13) assuming r is positive.\n' | b'1\n' | b'Simplify ((r/(((r**1*r*r)/r)/r))**(6/13))**(-2/13) assuming r is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let w = -1 - -4. Solve 3 + 14 = -w*i - l, 2*i + 16 = -3*l for i.\n' | b'-5\n' | b'Let w = -1 - -4. Solve 3 + 14 = -w*i - l, 2*i + 16 = -3*l for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from debbveboevvmbbvbbvvv. What is prob of picking 1 o, 1 b, and 1 m?\n' | b'7/1140\n' | b'Three letters picked without replacement from debbveboevvmbbvbbvvv. What is prob of picking 1 o, 1 b, and 1 m?\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let a(b) = b**3 + b**2 + b - 2. Let u(h) = -66*h**3 - 4*h**2 - 4*h + 91. Let g(f) = 4*a(f) + u(f). What is the derivative of g(c) wrt c?\n' | b'-186*c**2\n' | b'Let a(b) = b**3 + b**2 + b - 2. Let u(h) = -66*h**3 - 4*h**2 - 4*h + 91. Let g(f) = 4*a(f) + u(f). What is the derivative of g(c) wrt c?\n' | b'-186*c**2\n' | deepmind/math_dataset |
b'Let t = -7 + 5. Let g = t - -4. Solve -g = 3*f + 4*i + 6, -4*f = 3*i - 1 for f.\n' | b'4\n' | b'Let t = -7 + 5. Let g = t - -4. Solve -g = 3*f + 4*i + 6, -4*f = 3*i - 1 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (k*k/((k**(1/3)*k)/k)*k)**(-30) assuming k is positive.\n' | b'k**(-80)\n' | b'Simplify (k*k/((k**(1/3)*k)/k)*k)**(-30) assuming k is positive.\n' | b'k**(-80)\n' | deepmind/math_dataset |
b'Let r be (-6)/27 + 58/18. Let p be ((-28)/(-8) - 3)*34 - 2. Suppose p = -3*d, 3*i + 26 = 5*d + 63. Solve i*t + 0 = a - 19, t + r*a + 8 = 0 for t.\n' | b'-5\n' | b'Let r be (-6)/27 + 58/18. Let p be ((-28)/(-8) - 3)*34 - 2. Suppose p = -3*d, 3*i + 26 = 5*d + 63. Solve i*t + 0 = a - 19, t + r*a + 8 = 0 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (c*c**1*c)**(-2/9)*c**(7/3)/c**(-7/3) assuming c is positive.\n' | b'c**4\n' | b'Simplify (c*c**1*c)**(-2/9)*c**(7/3)/c**(-7/3) assuming c is positive.\n' | b'c**4\n' | deepmind/math_dataset |
b'Let f(a) = 3*a - 6 + 2*a**2 - 8*a**2 - a**3 + 2*a**2. Let w = -6 - -1. Let n be w/(-2)*(3 - 5). Give f(n).\n' | b'4\n' | b'Let f(a) = 3*a - 6 + 2*a**2 - 8*a**2 - a**3 + 2*a**2. Let w = -6 - -1. Let n be w/(-2)*(3 - 5). Give f(n).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaaaahahaaa. Give prob of sequence ahaa.\n' | b'4/33\n' | b'Four letters picked without replacement from aaaaaahahaaa. Give prob of sequence ahaa.\n' | b'4/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence amc when three letters picked without replacement from aaqqcacqqaama.\n' | b'1/143\n' | b'Calculate prob of sequence amc when three letters picked without replacement from aaqqcacqqaama.\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify (j*j**(-4))**(2/121)*(j/(j**(-3)/j))**(-2/37) assuming j is positive.\n' | b'j**(-1432/4477)\n' | b'Simplify (j*j**(-4))**(2/121)*(j/(j**(-3)/j))**(-2/37) assuming j is positive.\n' | b'j**(-1432/4477)\n' | deepmind/math_dataset |
b'Suppose -6*s + 944 = 908. Let t(z) = -z - 6. Let r be t(-12). Let x(j) = 20*j**2 - 1. Let f be x(1). Solve -2*g + s = -4*h + r*h, 2*g - 3*h = -f for g.\n' | b'-2\n' | b'Suppose -6*s + 944 = 908. Let t(z) = -z - 6. Let r be t(-12). Let x(j) = 20*j**2 - 1. Let f be x(1). Solve -2*g + s = -4*h + r*h, 2*g - 3*h = -f for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jhjhbxbhbbbb. Give prob of sequence hx.\n' | b'1/44\n' | b'Two letters picked without replacement from jhjhbxbhbbbb. Give prob of sequence hx.\n' | b'1/44\n' | deepmind/math_dataset |
b'Find the second derivative of 7*w + 2*w - 6*w + 4*w - 7*w**4 wrt w.\n' | b'-84*w**2\n' | b'Find the second derivative of 7*w + 2*w - 6*w + 4*w - 7*w**4 wrt w.\n' | b'-84*w**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rae. What is prob of picking 1 a and 1 e?\n' | b'1/3\n' | b'Two letters picked without replacement from rae. What is prob of picking 1 a and 1 e?\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mfwwyem. Give prob of picking 1 y and 1 m.\n' | b'2/21\n' | b'Two letters picked without replacement from mfwwyem. Give prob of picking 1 y and 1 m.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose -95*o - 2*r + 30 = -91*o, 0 = 2*o - 3*r - 35. Solve -18 = -2*f - 4*y, 9*f + o = 7*f + 3*y for f.\n' | b'1\n' | b'Suppose -95*o - 2*r + 30 = -91*o, 0 = 2*o - 3*r - 35. Solve -18 = -2*f - 4*y, 9*f + o = 7*f + 3*y for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(r) = -r + 3. Let q(i) = -i**2 - 5*i + 5. Let w be q(-5). Determine h(w).\n' | b'-2\n' | b'Let h(r) = -r + 3. Let q(i) = -i**2 - 5*i + 5. Let w be q(-5). Determine h(w).\n' | b'-2\n' | deepmind/math_dataset |
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