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 2*z = -2*g + z, -4*z = g + 7. Let r be 6/27 - 8/36. Let y be r + 2 + 1 - g. Solve -11 = 3*a + 3*t + 7, 8 = -y*a - t for a.\n' | b'-2\n' | b'Suppose 2*z = -2*g + z, -4*z = g + 7. Let r be 6/27 - 8/36. Let y be r + 2 + 1 - g. Solve -11 = 3*a + 3*t + 7, 8 = -y*a - t for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjjjjjjjj. What is prob of picking 2 j?\n' | b'1\n' | b'Two letters picked without replacement from jjjjjjjjj. What is prob of picking 2 j?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(a) = 18*a**2 - 3*a - 11*a + 5*a**3 + 2*a + 3. Suppose 262 = -25*d + 62. Let i(r) = 2*r**3 + 6*r**2 - 4*r + 1. Let y(g) = d*i(g) + 3*c(g). Calculate y(5).\n' | b'6\n' | b'Let c(a) = 18*a**2 - 3*a - 11*a + 5*a**3 + 2*a + 3. Suppose 262 = -25*d + 62. Let i(r) = 2*r**3 + 6*r**2 - 4*r + 1. Let y(g) = d*i(g) + 3*c(g). Calculate y(5).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, e: 10, p: 4, a: 3}. Give prob of sequence aa.\n' | b'1/51\n' | b'Two letters picked without replacement from {n: 1, e: 10, p: 4, a: 3}. Give prob of sequence aa.\n' | b'1/51\n' | deepmind/math_dataset |
b'What is prob of sequence qs when two letters picked without replacement from {t: 2, q: 1, s: 2, m: 6, b: 4, g: 3}?\n' | b'1/153\n' | b'What is prob of sequence qs when two letters picked without replacement from {t: 2, q: 1, s: 2, m: 6, b: 4, g: 3}?\n' | b'1/153\n' | deepmind/math_dataset |
b'Let z be 2*(4 + -2) + -82 + 81. Suppose 3*x + 6 = x. Let k be 3 + (x/z - -1). Solve -f + 0*j + 3*j = -4, k*j + 8 = -f for f.\n' | b'-2\n' | b'Let z be 2*(4 + -2) + -82 + 81. Suppose 3*x + 6 = x. Let k be 3 + (x/z - -1). Solve -f + 0*j + 3*j = -4, k*j + 8 = -f for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 10 = -2*u + 4*l, -6 - 23 = -3*u - 5*l. Let q(r) = 3*r - 15. Let a be q(6). Suppose -a*m + 1 = -2. Solve -4*t + m = -u*o, 3 = 4*t - 2*o - 3 for t.\n' | b'4\n' | b'Suppose 10 = -2*u + 4*l, -6 - 23 = -3*u - 5*l. Let q(r) = 3*r - 15. Let a be q(6). Suppose -a*m + 1 = -2. Solve -4*t + m = -u*o, 3 = 4*t - 2*o - 3 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let u(g) = -4*g - 1. Let x(a) be the third derivative of 0*a - 5/24*a**4 - a**2 + 0 - 1/6*a**3. Let i(t) = 7*u(t) - 6*x(t). Differentiate i(p) wrt p.\n' | b'2\n' | b'Let u(g) = -4*g - 1. Let x(a) be the third derivative of 0*a - 5/24*a**4 - a**2 + 0 - 1/6*a**3. Let i(t) = 7*u(t) - 6*x(t). Differentiate i(p) wrt p.\n' | b'2\n' | deepmind/math_dataset |
b'Let c = 28 + -23. Let b = 18 + -9. Let o(n) = 3*n**2 + 4*n - b*n - 4 + n**2 - 3*n**2. Give o(c).\n' | b'-4\n' | b'Let c = 28 + -23. Let b = 18 + -9. Let o(n) = 3*n**2 + 4*n - b*n - 4 + n**2 - 3*n**2. Give o(c).\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(a) be the first derivative of 8*a + 0*a**2 - 57/5*a**5 + 0*a**4 + 0*a**3 - 79. Find the first derivative of o(k) wrt k.\n' | b'-228*k**3\n' | b'Let o(a) be the first derivative of 8*a + 0*a**2 - 57/5*a**5 + 0*a**4 + 0*a**3 - 79. Find the first derivative of o(k) wrt k.\n' | b'-228*k**3\n' | deepmind/math_dataset |
b'Suppose -2*k - 2*u = -2, -2*k + u + 3*u = 4. Solve 5*i + f - 1 = k, -2*f = 2*i - 3 + 1 for i.\n' | b'0\n' | b'Suppose -2*k - 2*u = -2, -2*k + u + 3*u = 4. Solve 5*i + f - 1 = k, -2*f = 2*i - 3 + 1 for i.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence ap when two letters picked without replacement from {p: 3, j: 3, w: 3, a: 1}?\n' | b'1/30\n' | b'What is prob of sequence ap when two letters picked without replacement from {p: 3, j: 3, w: 3, a: 1}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let h(u) = -u**3 + 4*u**2 + 2*u - 3. Suppose -x - 8 = -3*x. Let g be h(x). Solve -g*n - 9 = -d - 3*d, -16 = 4*d for n.\n' | b'-5\n' | b'Let h(u) = -u**3 + 4*u**2 + 2*u - 3. Suppose -x - 8 = -3*x. Let g be h(x). Solve -g*n - 9 = -d - 3*d, -16 = 4*d for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*q + 900 - 898 = 2*n, 0 = -4*q + 2*n + 28. Let j = 0 - -5. Solve t = -q*m - 5, j*t - 3*t - 5 = 5*m for m.\n' | b'-1\n' | b'Suppose -2*q + 900 - 898 = 2*n, 0 = -4*q + 2*n + 28. Let j = 0 - -5. Solve t = -q*m - 5, j*t - 3*t - 5 = 5*m for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((a/((a**(-1/5)/a)/a))**(-2/7)*((a**(2/5)*a)/a)/a*a**(1/26))**(-8/3) assuming a is positive.\n' | b'a**(5372/1365)\n' | b'Simplify ((a/((a**(-1/5)/a)/a))**(-2/7)*((a**(2/5)*a)/a)/a*a**(1/26))**(-8/3) assuming a is positive.\n' | b'a**(5372/1365)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 1, p: 8, w: 1, f: 4, o: 2, q: 4}. Give prob of picking 2 f and 1 p.\n' | b'4/95\n' | b'Three letters picked without replacement from {g: 1, p: 8, w: 1, f: 4, o: 2, q: 4}. Give prob of picking 2 f and 1 p.\n' | b'4/95\n' | deepmind/math_dataset |
b'Let h(l) = -l**3 + 7*l**2 - 5*l - 3. Let g be h(6). Solve 6*s = g*s - 12, 2*s = -2*c - 6 for c.\n' | b'1\n' | b'Let h(l) = -l**3 + 7*l**2 - 5*l - 3. Let g be h(6). Solve 6*s = g*s - 12, 2*s = -2*c - 6 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (y**14*y**(-4/29))/(y*y**(8/5)*y/y**(-10/11)) assuming y is positive.\n' | b'y**(14918/1595)\n' | b'Simplify (y**14*y**(-4/29))/(y*y**(8/5)*y/y**(-10/11)) assuming y is positive.\n' | b'y**(14918/1595)\n' | deepmind/math_dataset |
b'Let l(d) = 11*d - 23. Let n be l(2). Let c(i) = -14*i**3 + 2*i**2 - i - 3. Let r(x) = 71*x**3 - 11*x**2 + 5*x + 16. Let v(w) = 11*c(w) + 2*r(w). What is v(n)?\n' | b'12\n' | b'Let l(d) = 11*d - 23. Let n be l(2). Let c(i) = -14*i**3 + 2*i**2 - i - 3. Let r(x) = 71*x**3 - 11*x**2 + 5*x + 16. Let v(w) = 11*c(w) + 2*r(w). What is v(n)?\n' | b'12\n' | deepmind/math_dataset |
b'Suppose 20 = 2*a + 3*g, -4*g + 15 = 3*a - 13. What is the second derivative of 215*w - 2*w**4 - 2*w**5 - 231*w + 2*w**a wrt w?\n' | b'-40*w**3\n' | b'Suppose 20 = 2*a + 3*g, -4*g + 15 = 3*a - 13. What is the second derivative of 215*w - 2*w**4 - 2*w**5 - 231*w + 2*w**a wrt w?\n' | b'-40*w**3\n' | deepmind/math_dataset |
b'Let c(h) = 2*h**2 + 3*h + 2. Let p be c(-2). Suppose -s = 2*f - p*s - 4, -2*f - 4 = -5*s. Let x(r) = r**3 - 2*r + f*r**3 + r. Give x(-1).\n' | b'-8\n' | b'Let c(h) = 2*h**2 + 3*h + 2. Let p be c(-2). Suppose -s = 2*f - p*s - 4, -2*f - 4 = -5*s. Let x(r) = r**3 - 2*r + f*r**3 + r. Give x(-1).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (t**(-1/2))**(4/11)/(t*t**(-11/4)/t*((((t**(-13/5)*t)/t)/t)/t)/t) assuming t is positive.\n' | b't**(1797/220)\n' | b'Simplify (t**(-1/2))**(4/11)/(t*t**(-11/4)/t*((((t**(-13/5)*t)/t)/t)/t)/t) assuming t is positive.\n' | b't**(1797/220)\n' | deepmind/math_dataset |
b'Let o(s) be the second derivative of s**3/6 - 3*s**2 + 110*s + 1. Let r = -17 + 10. Let g = -1 - r. What is o(g)?\n' | b'0\n' | b'Let o(s) be the second derivative of s**3/6 - 3*s**2 + 110*s + 1. Let r = -17 + 10. Let g = -1 - r. What is o(g)?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tttqjjtjtuuttjjttj. What is prob of sequence tj?\n' | b'3/17\n' | b'Two letters picked without replacement from tttqjjtjtuuttjjttj. What is prob of sequence tj?\n' | b'3/17\n' | deepmind/math_dataset |
b'Simplify (x**(-1/10))**(-3/28) assuming x is positive.\n' | b'x**(3/280)\n' | b'Simplify (x**(-1/10))**(-3/28) assuming x is positive.\n' | b'x**(3/280)\n' | deepmind/math_dataset |
b'Let z(q) = 2*q**2 + 4*q + 2. Let a(s) = s**3 - 5*s**2 - 8*s + 9. Let d be a(6). Let x be z(d). Let g = x - 7. Solve g - 10 = -2*j + 5*f, 0 = j + 2*f for j.\n' | b'2\n' | b'Let z(q) = 2*q**2 + 4*q + 2. Let a(s) = s**3 - 5*s**2 - 8*s + 9. Let d be a(6). Let x be z(d). Let g = x - 7. Solve g - 10 = -2*j + 5*f, 0 = j + 2*f for j.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -8*y + 13*y = 30. Solve 0*h - 5*h = -5, -y = 3*a + 3*h for a.\n' | b'-3\n' | b'Suppose -8*y + 13*y = 30. Solve 0*h - 5*h = -5, -y = 3*a + 3*h for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, b: 5, y: 1, x: 3}. Give prob of picking 1 x and 2 y.\n' | b'0\n' | b'Three letters picked without replacement from {a: 1, b: 5, y: 1, x: 3}. Give prob of picking 1 x and 2 y.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, l: 3, o: 5, c: 1}. What is prob of picking 1 c and 1 l?\n' | b'1/15\n' | b'Two letters picked without replacement from {m: 1, l: 3, o: 5, c: 1}. What is prob of picking 1 c and 1 l?\n' | b'1/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, e: 3, m: 1, y: 2, j: 4}. Give prob of sequence ej.\n' | b'6/55\n' | b'Two letters picked without replacement from {i: 1, e: 3, m: 1, y: 2, j: 4}. Give prob of sequence ej.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let i(d) = d**3 - 9*d**2 - 5*d + 5. Suppose -2*o - 4*m = o - 14, m = -2*o + 16. Determine i(o).\n' | b'55\n' | b'Let i(d) = d**3 - 9*d**2 - 5*d + 5. Suppose -2*o - 4*m = o - 14, m = -2*o + 16. Determine i(o).\n' | b'55\n' | deepmind/math_dataset |
b'Let n(r) = -r**3 - 13*r**2 - r - 11. Let c be n(-13). Find the third derivative of 3*u**2 + 0*u**c + 0*u**2 - 8*u**6 - 7*u**2 wrt u.\n' | b'-960*u**3\n' | b'Let n(r) = -r**3 - 13*r**2 - r - 11. Let c be n(-13). Find the third derivative of 3*u**2 + 0*u**c + 0*u**2 - 8*u**6 - 7*u**2 wrt u.\n' | b'-960*u**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from tvttttvtvv.\n' | b'2/15\n' | b'Calculate prob of sequence vv when two letters picked without replacement from tvttttvtvv.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let t be ((-7)/1)/(26 + -25). Let a = t - -36. Let i = a - 19. Solve 5*c + i = -5*w - 0*c, 3*w = 5*c + 18 for w.\n' | b'1\n' | b'Let t be ((-7)/1)/(26 + -25). Let a = t - -36. Let i = a - 19. Solve 5*c + i = -5*w - 0*c, 3*w = 5*c + 18 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((((n**(-7)/n)/n)/(n*n/n**(-3/4)))**(-2/15))**(2/51) assuming n is positive.\n' | b'n**(47/765)\n' | b'Simplify ((((n**(-7)/n)/n)/(n*n/n**(-3/4)))**(-2/15))**(2/51) assuming n is positive.\n' | b'n**(47/765)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 6, g: 13}. Give prob of picking 1 g and 2 z.\n' | b'65/323\n' | b'Three letters picked without replacement from {z: 6, g: 13}. Give prob of picking 1 g and 2 z.\n' | b'65/323\n' | deepmind/math_dataset |
b'Let b = 3 + 1. What is the third derivative of -4 + b + 4*i**3 - i**2 wrt i?\n' | b'24\n' | b'Let b = 3 + 1. What is the third derivative of -4 + b + 4*i**3 - i**2 wrt i?\n' | b'24\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrt when three letters picked without replacement from trrtrt.\n' | b'3/20\n' | b'Calculate prob of sequence rrt when three letters picked without replacement from trrtrt.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let a(y) = 13*y**3 - 37*y**2 - 3*y + 4. Let l(s) = 3*s**3 - 9*s**2 - s + 1. Let h = 140 - 149. Let m(g) = h*l(g) + 2*a(g). Calculate m(7).\n' | b'20\n' | b'Let a(y) = 13*y**3 - 37*y**2 - 3*y + 4. Let l(s) = 3*s**3 - 9*s**2 - s + 1. Let h = 140 - 149. Let m(g) = h*l(g) + 2*a(g). Calculate m(7).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (s/(s*s**(-18))*s)**2*s**(-2/43)*s**28 assuming s is positive.\n' | b's**(2836/43)\n' | b'Simplify (s/(s*s**(-18))*s)**2*s**(-2/43)*s**28 assuming s is positive.\n' | b's**(2836/43)\n' | deepmind/math_dataset |
b'Suppose -8*h + 8 + 32 = 0. Solve r + 2*r - 28 = h*m, -2*r + m + 7 = 0 for r.\n' | b'1\n' | b'Suppose -8*h + 8 + 32 = 0. Solve r + 2*r - 28 = h*m, -2*r + m + 7 = 0 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(w) = -7*w - 1. Let b be a(-10). Suppose 4*j = j + b. Find the second derivative of 3*q - 10*q**3 + j - 23 wrt q.\n' | b'-60*q\n' | b'Let a(w) = -7*w - 1. Let b be a(-10). Suppose 4*j = j + b. Find the second derivative of 3*q - 10*q**3 + j - 23 wrt q.\n' | b'-60*q\n' | deepmind/math_dataset |
b'Let f(g) = g**2 + 8*g + 5. Let s(w) = -w**3 + 13*w**2 - w + 5. Let b be s(13). Let y be f(b). Solve 4*h - j - 15 = -5, -5*h - y*j = 0 for h.\n' | b'2\n' | b'Let f(g) = g**2 + 8*g + 5. Let s(w) = -w**3 + 13*w**2 - w + 5. Let b be s(13). Let y be f(b). Solve 4*h - j - 15 = -5, -5*h - y*j = 0 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((l**(-2/7))**(-1/47)/(l/(l*l/l**(2/5)*l))**(-20/13))**(20/7))**25 assuming l is positive.\n' | b'l**(-5251000/29939)\n' | b'Simplify (((l**(-2/7))**(-1/47)/(l/(l*l/l**(2/5)*l))**(-20/13))**(20/7))**25 assuming l is positive.\n' | b'l**(-5251000/29939)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 d when three letters picked without replacement from oodoooddooodoooood.\n' | b'65/408\n' | b'Calculate prob of picking 1 o and 2 d when three letters picked without replacement from oodoooddooodoooood.\n' | b'65/408\n' | deepmind/math_dataset |
b'What is prob of sequence byz when three letters picked without replacement from {b: 3, f: 5, q: 2, y: 1, a: 1, z: 1}?\n' | b'1/572\n' | b'What is prob of sequence byz when three letters picked without replacement from {b: 3, f: 5, q: 2, y: 1, a: 1, z: 1}?\n' | b'1/572\n' | deepmind/math_dataset |
b'Simplify (d**(1/25)/d)**18 assuming d is positive.\n' | b'd**(-432/25)\n' | b'Simplify (d**(1/25)/d)**18 assuming d is positive.\n' | b'd**(-432/25)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bo when two letters picked without replacement from nnknjbnonknj.\n' | b'1/132\n' | b'Calculate prob of sequence bo when two letters picked without replacement from nnknjbnonknj.\n' | b'1/132\n' | deepmind/math_dataset |
b'Let k(h) = 30*h**3 + 10*h**2 + 24*h - 12. Let r(x) = -x**3 + x**2 - x - 1. Let t(q) = -k(q) + 10*r(q). What is the second derivative of t(n) wrt n?\n' | b'-240*n\n' | b'Let k(h) = 30*h**3 + 10*h**2 + 24*h - 12. Let r(x) = -x**3 + x**2 - x - 1. Let t(q) = -k(q) + 10*r(q). What is the second derivative of t(n) wrt n?\n' | b'-240*n\n' | deepmind/math_dataset |
b'Let d(b) = -79*b + 78*b + 6*b**2 - b**3 - 3*b**2 + 1. Let h be d(2). Solve 4*r = h*p - 1, 0*p - r + 11 = 3*p for p.\n' | b'3\n' | b'Let d(b) = -79*b + 78*b + 6*b**2 - b**3 - 3*b**2 + 1. Let h be d(2). Solve 4*r = h*p - 1, 0*p - r + 11 = 3*p for p.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence sss when three letters picked without replacement from {l: 5, s: 9}.\n' | b'3/13\n' | b'Calculate prob of sequence sss when three letters picked without replacement from {l: 5, s: 9}.\n' | b'3/13\n' | deepmind/math_dataset |
b'Let a(b) = 22*b + 120. Let m be a(-5). Let u(g) = -g**3 + 7*g**2 - 5*g - 3. Let o be u(6). Solve -6 - m = 4*x + 3*w, -o*x = 2*w + 12 for x.\n' | b'-4\n' | b'Let a(b) = 22*b + 120. Let m be a(-5). Let u(g) = -g**3 + 7*g**2 - 5*g - 3. Let o be u(6). Solve -6 - m = 4*x + 3*w, -o*x = 2*w + 12 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence qy when two letters picked without replacement from {y: 1, n: 1, o: 4, g: 2, i: 3, q: 1}?\n' | b'1/132\n' | b'What is prob of sequence qy when two letters picked without replacement from {y: 1, n: 1, o: 4, g: 2, i: 3, q: 1}?\n' | b'1/132\n' | deepmind/math_dataset |
b'Suppose 0 = 3*o + 12, -4*o - 19 = -u - 2. Let z(k) = k**2 - 3 + 1 + u - 4 - 2*k. Calculate z(0).\n' | b'-5\n' | b'Suppose 0 = 3*o + 12, -4*o - 19 = -u - 2. Let z(k) = k**2 - 3 + 1 + u - 4 - 2*k. Calculate z(0).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((q/q**(3/7))/q**(2/5))/(q*q**1)**(12/5))**(-4/31) assuming q is positive.\n' | b'q**(648/1085)\n' | b'Simplify (((q/q**(3/7))/q**(2/5))/(q*q**1)**(12/5))**(-4/31) assuming q is positive.\n' | b'q**(648/1085)\n' | deepmind/math_dataset |
b'Let y(g) be the second derivative of g**3/6 - 2*g. Let v be y(2). What is the first derivative of -1 - 3*n**4 + n**4 - v*n**4 - 2 wrt n?\n' | b'-16*n**3\n' | b'Let y(g) be the second derivative of g**3/6 - 2*g. Let v be y(2). What is the first derivative of -1 - 3*n**4 + n**4 - v*n**4 - 2 wrt n?\n' | b'-16*n**3\n' | deepmind/math_dataset |
b'Let f(q) = -q**2 + 150*q - 5417. Let m be f(88). Solve -4*d = 0, -j + 43*d - m*d = -2 for j.\n' | b'2\n' | b'Let f(q) = -q**2 + 150*q - 5417. Let m be f(88). Solve -4*d = 0, -j + 43*d - m*d = -2 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let o be 0 + 2 - -14*(-4)/(-8). Let b be 3*(-4)/(-12)*o. Find the third derivative of -27*x**2 + b*x**3 + 4*x**2 - 3*x**3 wrt x.\n' | b'36\n' | b'Let o be 0 + 2 - -14*(-4)/(-8). Let b be 3*(-4)/(-12)*o. Find the third derivative of -27*x**2 + b*x**3 + 4*x**2 - 3*x**3 wrt x.\n' | b'36\n' | deepmind/math_dataset |
b'What is the second derivative of -42*c**4 - 14 - c + 192 - 3 wrt c?\n' | b'-504*c**2\n' | b'What is the second derivative of -42*c**4 - 14 - c + 192 - 3 wrt c?\n' | b'-504*c**2\n' | deepmind/math_dataset |
b'Suppose 2*z - 34 = -2*i, 0 = 23*i - 23*i - 3*z. Solve l + l - 10 = 0, 4*l = -3*c + i for c.\n' | b'-1\n' | b'Suppose 2*z - 34 = -2*i, 0 = 23*i - 23*i - 3*z. Solve l + l - 10 = 0, 4*l = -3*c + i for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -j + 15 = 5*q - 3, 0 = 4*j + 2*q. Let k be 2/1 + j + 5. Find the first derivative of -k*s**2 + 8*s**2 - 1 - 3 wrt s.\n' | b'6*s\n' | b'Suppose -j + 15 = 5*q - 3, 0 = 4*j + 2*q. Let k be 2/1 + j + 5. Find the first derivative of -k*s**2 + 8*s**2 - 1 - 3 wrt s.\n' | b'6*s\n' | deepmind/math_dataset |
b'Simplify (y**(1/4)*y)**25/((y**7/y)/y**7) assuming y is positive.\n' | b'y**(129/4)\n' | b'Simplify (y**(1/4)*y)**25/((y**7/y)/y**7) assuming y is positive.\n' | b'y**(129/4)\n' | deepmind/math_dataset |
b'Let g(v) be the first derivative of -10/3*v**3 + 0*v**2 + 2 - 3/4*v**4 + 0*v. Find the third derivative of g(k) wrt k.\n' | b'-18\n' | b'Let g(v) be the first derivative of -10/3*v**3 + 0*v**2 + 2 - 3/4*v**4 + 0*v. Find the third derivative of g(k) wrt k.\n' | b'-18\n' | deepmind/math_dataset |
b'Let c(y) = 8*y + 302. Let p be c(-38). Let k be -20 - -17 - p/(-3)*-9. Let f(u) = 3*u**2 - 5*u + 2. Determine f(k).\n' | b'14\n' | b'Let c(y) = 8*y + 302. Let p be c(-38). Let k be -20 - -17 - p/(-3)*-9. Let f(u) = 3*u**2 - 5*u + 2. Determine f(k).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive.\n' | b'k**(2545/207)\n' | b'Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive.\n' | b'k**(2545/207)\n' | deepmind/math_dataset |
b'Let o(b) = 3*b**3. Let r(q) = -q**3 - q**2. Let g(l) = o(l) + 4*r(l). Let k = 2 + -7. Let s(x) = -x**2 - 5*x - 4. Let c be s(k). What is g(c)?\n' | b'0\n' | b'Let o(b) = 3*b**3. Let r(q) = -q**3 - q**2. Let g(l) = o(l) + 4*r(l). Let k = 2 + -7. Let s(x) = -x**2 - 5*x - 4. Let c be s(k). What is g(c)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((y/(y*y/y**2*y))/(((y**0/y)/y)/y))**33 assuming y is positive.\n' | b'y**99\n' | b'Simplify ((y/(y*y/y**2*y))/(((y**0/y)/y)/y))**33 assuming y is positive.\n' | b'y**99\n' | deepmind/math_dataset |
b'What is prob of picking 4 t when four letters picked without replacement from {t: 7, d: 3}?\n' | b'1/6\n' | b'What is prob of picking 4 t when four letters picked without replacement from {t: 7, d: 3}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let a(n) be the third derivative of 2*n**2 + 0 + 11/60*n**5 + 0*n**3 + 0*n + 0*n**4 - 13/120*n**6. Find the third derivative of a(h) wrt h.\n' | b'-78\n' | b'Let a(n) be the third derivative of 2*n**2 + 0 + 11/60*n**5 + 0*n**3 + 0*n + 0*n**4 - 13/120*n**6. Find the third derivative of a(h) wrt h.\n' | b'-78\n' | deepmind/math_dataset |
b'Let r(x) = 1649*x**3 + 4*x**2 - 10*x - 2527. Let j(y) = 8246*y**3 + 22*y**2 - 55*y - 12637. Let l(w) = -4*j(w) + 22*r(w). Differentiate l(a) wrt a.\n' | b'9882*a**2\n' | b'Let r(x) = 1649*x**3 + 4*x**2 - 10*x - 2527. Let j(y) = 8246*y**3 + 22*y**2 - 55*y - 12637. Let l(w) = -4*j(w) + 22*r(w). Differentiate l(a) wrt a.\n' | b'9882*a**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence iii when three letters picked without replacement from {i: 5}.\n' | b'1\n' | b'Calculate prob of sequence iii when three letters picked without replacement from {i: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {p: 13, h: 5}.\n' | b'26/51\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {p: 13, h: 5}.\n' | b'26/51\n' | deepmind/math_dataset |
b'What is prob of sequence oo when two letters picked without replacement from mmrrmrrmomrmmor?\n' | b'1/105\n' | b'What is prob of sequence oo when two letters picked without replacement from mmrrmrrmomrmmor?\n' | b'1/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, v: 1, r: 1, n: 1, t: 1}. What is prob of sequence ntgr?\n' | b'1/120\n' | b'Four letters picked without replacement from {g: 1, v: 1, r: 1, n: 1, t: 1}. What is prob of sequence ntgr?\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify (d**5*d)/d**(1/3)*(d*d**(-6))/d**0*d**(6/7)*d/d**(2/9)*(d**0)**14 assuming d is positive.\n' | b'd**(145/63)\n' | b'Simplify (d**5*d)/d**(1/3)*(d*d**(-6))/d**0*d**(6/7)*d/d**(2/9)*(d**0)**14 assuming d is positive.\n' | b'd**(145/63)\n' | deepmind/math_dataset |
b'Simplify (((h/h**(-4/7))/h**6)/(h**(-1))**(2/3))**(-3/14) assuming h is positive.\n' | b'h**(79/98)\n' | b'Simplify (((h/h**(-4/7))/h**6)/(h**(-1))**(2/3))**(-3/14) assuming h is positive.\n' | b'h**(79/98)\n' | deepmind/math_dataset |
b'Let m(y) = 2*y - 16. Let h be 5/15*1/(3/531). Suppose 0 = 15*n - h - 31. What is m(n)?\n' | b'-4\n' | b'Let m(y) = 2*y - 16. Let h be 5/15*1/(3/531). Suppose 0 = 15*n - h - 31. What is m(n)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {v: 2, f: 2, g: 1, o: 1, d: 5, w: 5}.\n' | b'1/60\n' | b'Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {v: 2, f: 2, g: 1, o: 1, d: 5, w: 5}.\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of sequence rb when two letters picked without replacement from pbrpb?\n' | b'1/10\n' | b'What is prob of sequence rb when two letters picked without replacement from pbrpb?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let u be (3/(-5) - 1)/((-11)/2970). Find the first derivative of -u*k - 7 + 432*k - 5*k**4 wrt k.\n' | b'-20*k**3\n' | b'Let u be (3/(-5) - 1)/((-11)/2970). Find the first derivative of -u*k - 7 + 432*k - 5*k**4 wrt k.\n' | b'-20*k**3\n' | deepmind/math_dataset |
b'Let k(n) = n**3 - 2*n**2 - 3*n - 2. Let r be k(3). Let h(d) be the second derivative of d**5/20 - d**4/12 - d**3/3 - d**2/2 + 32*d. What is h(r)?\n' | b'-9\n' | b'Let k(n) = n**3 - 2*n**2 - 3*n - 2. Let r be k(3). Let h(d) be the second derivative of d**5/20 - d**4/12 - d**3/3 - d**2/2 + 32*d. What is h(r)?\n' | b'-9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmjmj. Give prob of picking 3 m.\n' | b'1/10\n' | b'Three letters picked without replacement from mmjmj. Give prob of picking 3 m.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 3, o: 3, g: 4, n: 4}. What is prob of sequence nang?\n' | b'6/1001\n' | b'Four letters picked without replacement from {a: 3, o: 3, g: 4, n: 4}. What is prob of sequence nang?\n' | b'6/1001\n' | deepmind/math_dataset |
b'Simplify (((r/(r/(r**(1/15)/r)))/(r/(r/(r*r**(-2)*r*r*r)))*r**(-8)/r**(-8))**35)**13 assuming r is positive.\n' | b'r**(-4004/3)\n' | b'Simplify (((r/(r/(r**(1/15)/r)))/(r/(r/(r*r**(-2)*r*r*r)))*r**(-8)/r**(-8))**35)**13 assuming r is positive.\n' | b'r**(-4004/3)\n' | deepmind/math_dataset |
b'Suppose -3*l + 1 = 5*y, 5*y = l + 8 + 5. What is the second derivative of -7*d**4 + 3*d**4 - y*d - 4*d**4 wrt d?\n' | b'-96*d**2\n' | b'Suppose -3*l + 1 = 5*y, 5*y = l + 8 + 5. What is the second derivative of -7*d**4 + 3*d**4 - y*d - 4*d**4 wrt d?\n' | b'-96*d**2\n' | deepmind/math_dataset |
b'Let p(d) = d**4 + 30*d**2 + 149*d + 3. Let b(f) = -6*f**4 - 150*f**2 - 746*f - 16. Let t(h) = 3*b(h) + 16*p(h). Find the second derivative of t(w) wrt w.\n' | b'-24*w**2 + 60\n' | b'Let p(d) = d**4 + 30*d**2 + 149*d + 3. Let b(f) = -6*f**4 - 150*f**2 - 746*f - 16. Let t(h) = 3*b(h) + 16*p(h). Find the second derivative of t(w) wrt w.\n' | b'-24*w**2 + 60\n' | deepmind/math_dataset |
b'What is prob of picking 4 g when four letters picked without replacement from {g: 7, j: 3}?\n' | b'1/6\n' | b'What is prob of picking 4 g when four letters picked without replacement from {g: 7, j: 3}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let d be 23/((-690)/20) + (-28)/(-6). Suppose 3 = 7*t - d*t. Let x(i) = 3*i + 1. Determine x(t).\n' | b'4\n' | b'Let d be 23/((-690)/20) + (-28)/(-6). Suppose 3 = 7*t - d*t. Let x(i) = 3*i + 1. Determine x(t).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((j*j**41)/j)/j)/(j/j**23) assuming j is positive.\n' | b'j**62\n' | b'Simplify (((j*j**41)/j)/j)/(j/j**23) assuming j is positive.\n' | b'j**62\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rbefeeberrboob. Give prob of sequence rbrb.\n' | b'3/1001\n' | b'Four letters picked without replacement from rbefeeberrboob. Give prob of sequence rbrb.\n' | b'3/1001\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, r: 1, j: 4, t: 2}. What is prob of sequence jxt?\n' | b'2/63\n' | b'Three letters picked without replacement from {x: 2, r: 1, j: 4, t: 2}. What is prob of sequence jxt?\n' | b'2/63\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, p: 4}. Give prob of sequence fpf.\n' | b'4/35\n' | b'Three letters picked without replacement from {f: 3, p: 4}. Give prob of sequence fpf.\n' | b'4/35\n' | deepmind/math_dataset |
b'Suppose -25 = -5*y - 25. Let f(s) = -4 - 2*s + 2*s + y*s - s. Let d be 1 - 8/10 - 14/70. Calculate f(d).\n' | b'-4\n' | b'Suppose -25 = -5*y - 25. Let f(s) = -4 - 2*s + 2*s + y*s - s. Let d be 1 - 8/10 - 14/70. Calculate f(d).\n' | b'-4\n' | deepmind/math_dataset |
b'What is the second derivative of 129 + 857682*x**2 - 4*x**5 - 857680*x**2 + 51*x**3 + 96*x**3 + 14*x wrt x?\n' | b'-80*x**3 + 882*x + 4\n' | b'What is the second derivative of 129 + 857682*x**2 - 4*x**5 - 857680*x**2 + 51*x**3 + 96*x**3 + 14*x wrt x?\n' | b'-80*x**3 + 882*x + 4\n' | deepmind/math_dataset |
b'Suppose 1 = r - 1. Let v be 6/(24/10)*-60. Let x = -147 - v. Solve -r*q = -3*u + u, 2*q - x = u for u.\n' | b'3\n' | b'Suppose 1 = r - 1. Let v be 6/(24/10)*-60. Let x = -147 - v. Solve -r*q = -3*u + u, 2*q - x = u for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let o(d) = 14*d**3 - 4*d**2 - 3*d + 4. Let x = 18 + -14. Let r(z) = z**3 - z**2 + z + 1. Let a(c) = x*r(c) - o(c). What is the second derivative of a(s) wrt s?\n' | b'-60*s\n' | b'Let o(d) = 14*d**3 - 4*d**2 - 3*d + 4. Let x = 18 + -14. Let r(z) = z**3 - z**2 + z + 1. Let a(c) = x*r(c) - o(c). What is the second derivative of a(s) wrt s?\n' | b'-60*s\n' | deepmind/math_dataset |
b'Let a(m) be the third derivative of -2*m**5/5 - m**4/12 + m**3/6 + 10*m**2 + 5*m. What is a(1)?\n' | b'-25\n' | b'Let a(m) be the third derivative of -2*m**5/5 - m**4/12 + m**3/6 + 10*m**2 + 5*m. What is a(1)?\n' | b'-25\n' | deepmind/math_dataset |
b'Simplify ((f**(-1/2)*f*f**(-6/7))/(f**(3/17)*f*f/((f*f*f**(1/8)*f)/f)))**7 assuming f is positive.\n' | b'f**(-389/136)\n' | b'Simplify ((f**(-1/2)*f*f**(-6/7))/(f**(3/17)*f*f/((f*f*f**(1/8)*f)/f)))**7 assuming f is positive.\n' | b'f**(-389/136)\n' | deepmind/math_dataset |
b'Let c(q) = q**2 + 3*q - 1. Let w(g) = 7*g + 10. Let f be w(-2). Let k be c(f). Solve -v = -k*l - 2, -l + v - 4 + 0 = 0 for l.\n' | b'1\n' | b'Let c(q) = q**2 + 3*q - 1. Let w(g) = 7*g + 10. Let f be w(-2). Let k be c(f). Solve -v = -k*l - 2, -l + v - 4 + 0 = 0 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let t(u) = 3*u**2 + u + 1. Let c be 24/4 + -14 + 7. What is t(c)?\n' | b'3\n' | b'Let t(u) = 3*u**2 + u + 1. Let c be 24/4 + -14 + 7. What is t(c)?\n' | b'3\n' | deepmind/math_dataset |
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