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'Three letters picked without replacement from {q: 10, g: 2, l: 4, y: 4}. What is prob of picking 1 g, 1 y, and 1 l?\n' | b'8/285\n' | b'Three letters picked without replacement from {q: 10, g: 2, l: 4, y: 4}. What is prob of picking 1 g, 1 y, and 1 l?\n' | b'8/285\n' | deepmind/math_dataset |
b'Let m = -6180 + 6192. Solve 5*u = -2*d - 11, -4*d + m*u - 10*u = 10 for d.\n' | b'-3\n' | b'Let m = -6180 + 6192. Solve 5*u = -2*d - 11, -4*d + m*u - 10*u = 10 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vec when three letters picked without replacement from veegecv.\n' | b'1/35\n' | b'Calculate prob of sequence vec when three letters picked without replacement from veegecv.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let n(y) be the first derivative of y**2/2 - 4*y - 1. Let k be -1 + 18/2 + -2. Let g be n(k). Solve 4*f + g*d + 6 = 4, 5*f - 14 = 3*d for f.\n' | b'1\n' | b'Let n(y) be the first derivative of y**2/2 - 4*y - 1. Let k be -1 + 18/2 + -2. Let g be n(k). Solve 4*f + g*d + 6 = 4, 5*f - 14 = 3*d for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let j(k) = 109*k - 2330. Let d be j(22). Solve -5*g = 70*a - d*a, -3*a = -5*g - 25 for g.\n' | b'-2\n' | b'Let j(k) = 109*k - 2330. Let d be j(22). Solve -5*g = 70*a - d*a, -3*a = -5*g - 25 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(d) = -1447*d**2 - 729*d - 5. Let w(v) = 1447*v**2 + 705*v + 6. Let b(c) = -6*o(c) - 5*w(c). What is the second derivative of b(i) wrt i?\n' | b'2894\n' | b'Let o(d) = -1447*d**2 - 729*d - 5. Let w(v) = 1447*v**2 + 705*v + 6. Let b(c) = -6*o(c) - 5*w(c). What is the second derivative of b(i) wrt i?\n' | b'2894\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yktqehhy. What is prob of sequence yke?\n' | b'1/168\n' | b'Three letters picked without replacement from yktqehhy. What is prob of sequence yke?\n' | b'1/168\n' | deepmind/math_dataset |
b'Four letters picked without replacement from amamjmjamaa. What is prob of sequence jjaa?\n' | b'1/198\n' | b'Four letters picked without replacement from amamjmjamaa. What is prob of sequence jjaa?\n' | b'1/198\n' | deepmind/math_dataset |
b'Simplify (b*b/(b*b/(b**(3/4)*b)*b))/b*(b*b**(-5/6)*b*b)/b*(b*(b**(-2/5)/b)/b*b)**31 assuming b is positive.\n' | b'b**(-689/60)\n' | b'Simplify (b*b/(b*b/(b**(3/4)*b)*b))/b*(b*b**(-5/6)*b*b)/b*(b*(b**(-2/5)/b)/b*b)**31 assuming b is positive.\n' | b'b**(-689/60)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, h: 6, y: 1, d: 4}. What is prob of sequence yh?\n' | b'1/26\n' | b'Two letters picked without replacement from {i: 2, h: 6, y: 1, d: 4}. What is prob of sequence yh?\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify (((k*k*k*k**(-2/19))/(k/(k**(-26)*k)))/(k**(-3/5))**(-2/5))**(-1/9) assuming k is positive.\n' | b'k**(11089/4275)\n' | b'Simplify (((k*k*k*k**(-2/19))/(k/(k**(-26)*k)))/(k**(-3/5))**(-2/5))**(-1/9) assuming k is positive.\n' | b'k**(11089/4275)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 4, j: 1, h: 2, p: 1, u: 2}. Give prob of sequence ij.\n' | b'2/45\n' | b'Two letters picked without replacement from {i: 4, j: 1, h: 2, p: 1, u: 2}. Give prob of sequence ij.\n' | b'2/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 m when four letters picked without replacement from qmqmqqmmmmm.\n' | b'7/66\n' | b'Calculate prob of picking 4 m when four letters picked without replacement from qmqmqqmmmmm.\n' | b'7/66\n' | deepmind/math_dataset |
b'Suppose -4 + 0 = -2*h. Solve -2*y + u + 7 = y, 2*y + h*u = -6 for y.\n' | b'1\n' | b'Suppose -4 + 0 = -2*h. Solve -2*y + u + 7 = y, 2*y + h*u = -6 for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvv?\n' | b'1\n' | b'What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvv?\n' | b'1\n' | deepmind/math_dataset |
b'Let q = -138 + 141. Find the third derivative of -53*g**2 - 175*g**q - 54*g**2 - 78*g**2 wrt g.\n' | b'-1050\n' | b'Let q = -138 + 141. Find the third derivative of -53*g**2 - 175*g**q - 54*g**2 - 78*g**2 wrt g.\n' | b'-1050\n' | deepmind/math_dataset |
b'Let t(d) = d - 1. Let q(l) = l**2 - 6*l + 6. Let v be q(4). Let f(m) = -14*m + 3. Let r(k) = v*t(k) - f(k). Determine r(1).\n' | b'11\n' | b'Let t(d) = d - 1. Let q(l) = l**2 - 6*l + 6. Let v be q(4). Let f(m) = -14*m + 3. Let r(k) = v*t(k) - f(k). Determine r(1).\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of picking 3 z when three letters picked without replacement from wzwwzwzzwzzwzwzzww?\n' | b'7/68\n' | b'What is prob of picking 3 z when three letters picked without replacement from wzwwzwzzwzzwzwzzww?\n' | b'7/68\n' | deepmind/math_dataset |
b'Suppose -203 - 84 = -7*y. Let o = y - 35. What is the third derivative of q**2 + q**6 + 3*q**2 - 13*q**o - 6*q**2 wrt q?\n' | b'-1440*q**3\n' | b'Suppose -203 - 84 = -7*y. Let o = y - 35. What is the third derivative of q**2 + q**6 + 3*q**2 - 13*q**o - 6*q**2 wrt q?\n' | b'-1440*q**3\n' | deepmind/math_dataset |
b'Let g(d) = 6*d - 14. Let n be g(7). Let i = -84 + 89. Solve h + h + 27 = -5*t, 3*h = -i*t - n for h.\n' | b'-1\n' | b'Let g(d) = 6*d - 14. Let n be g(7). Let i = -84 + 89. Solve h + h + 27 = -5*t, 3*h = -i*t - n for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i = 1144 - 810. Let k = i - 331. Let c = 2 - -1. Solve -k*z + 11 = h - 5*z, 0 = -3*h - 4*z + c for h.\n' | b'5\n' | b'Let i = 1144 - 810. Let k = i - 331. Let c = 2 - -1. Solve -k*z + 11 = h - 5*z, 0 = -3*h - 4*z + c for h.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 4*q = 4*k + 1 + 39, -2*k + 5 = 3*q. Solve -4*z - 1 = -y, -3*z - 2*z = -q*y + 5 for z.\n' | b'0\n' | b'Suppose 4*q = 4*k + 1 + 39, -2*k + 5 = 3*q. Solve -4*z - 1 = -y, -3*z - 2*z = -q*y + 5 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((h*(h*h/(h**(-37)/h))/h*h)/h)/(h/((h/(h*h/(h/(h*h/(h/(h/(h*h/h**(6/13)*h)))))*h*h))/h)) assuming h is positive.\n' | b'h**(475/13)\n' | b'Simplify ((h*(h*h/(h**(-37)/h))/h*h)/h)/(h/((h/(h*h/(h/(h*h/(h/(h/(h*h/h**(6/13)*h)))))*h*h))/h)) assuming h is positive.\n' | b'h**(475/13)\n' | deepmind/math_dataset |
b'Simplify (((t*(t*t**(-12))/t*t)/t)/t)/t*t**(-2/5)*(t/(t/t**(-1/4)))**22 assuming t is positive.\n' | b't**(-189/10)\n' | b'Simplify (((t*(t*t**(-12))/t*t)/t)/t)/t*t**(-2/5)*(t/(t/t**(-1/4)))**22 assuming t is positive.\n' | b't**(-189/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggvggggggv. Give prob of picking 3 g.\n' | b'28/55\n' | b'Three letters picked without replacement from gggvggggggv. Give prob of picking 3 g.\n' | b'28/55\n' | deepmind/math_dataset |
b'Let d(m) = 7*m**2 - 21*m + 12. Let r(g) = 4*g**2 - 11*g + 6. Let l(y) = 3*d(y) - 5*r(y). Suppose -a + 4*a = 63. Let w = 27 - a. Determine l(w).\n' | b'-6\n' | b'Let d(m) = 7*m**2 - 21*m + 12. Let r(g) = 4*g**2 - 11*g + 6. Let l(y) = 3*d(y) - 5*r(y). Suppose -a + 4*a = 63. Let w = 27 - a. Determine l(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Let c(x) = x**2 + 6*x + 4. Let j be c(-5). Let g be (5 - j)*1/2. Let p(i) = -i**2 + 6*i + 8. Let u be p(6). Solve -3*o = -2*v + 1 - u, -g = o - 2*v for o.\n' | b'5\n' | b'Let c(x) = x**2 + 6*x + 4. Let j be c(-5). Let g be (5 - j)*1/2. Let p(i) = -i**2 + 6*i + 8. Let u be p(6). Solve -3*o = -2*v + 1 - u, -g = o - 2*v for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(l) = -l**3 - 4*l**2 - 5*l + 1. Suppose -34*z + 13*z = 0. Suppose z = 4*n - 0*q - 4*q + 4, 5*n + q + 23 = 0. Calculate w(n).\n' | b'21\n' | b'Let w(l) = -l**3 - 4*l**2 - 5*l + 1. Suppose -34*z + 13*z = 0. Suppose z = 4*n - 0*q - 4*q + 4, 5*n + q + 23 = 0. Calculate w(n).\n' | b'21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 6, j: 12}. Give prob of sequence juj.\n' | b'11/68\n' | b'Three letters picked without replacement from {u: 6, j: 12}. Give prob of sequence juj.\n' | b'11/68\n' | deepmind/math_dataset |
b'Let w(y) = 4*y**2 + 11*y + 11. Let d be w(-3). Let r(m) = -m**2 - 2*m + 4. Let f be r(3). Let q = d + f. Solve 0 = -j + q*c + 3, -j = j - 3*c - 3 for j.\n' | b'0\n' | b'Let w(y) = 4*y**2 + 11*y + 11. Let d be w(-3). Let r(m) = -m**2 - 2*m + 4. Let f be r(3). Let q = d + f. Solve 0 = -j + q*c + 3, -j = j - 3*c - 3 for j.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from xgxmexmgggxxmmx?\n' | b'2/35\n' | b'What is prob of picking 2 g when two letters picked without replacement from xgxmexmgggxxmmx?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let q(k) be the second derivative of k**3/6 + 2*k**2 - 6*k. What is the first derivative of q(t) wrt t?\n' | b'1\n' | b'Let q(k) be the second derivative of k**3/6 + 2*k**2 - 6*k. What is the first derivative of q(t) wrt t?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -567*m + 4*g - 24 = -570*m, 0 = 2*m + 2*g - 18. Let s(u) = u**3 - 10*u**2 - 25*u + 9. Determine s(m).\n' | b'-3\n' | b'Suppose -567*m + 4*g - 24 = -570*m, 0 = 2*m + 2*g - 18. Let s(u) = u**3 - 10*u**2 - 25*u + 9. Determine s(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(i) = i**2 + 5*i + 6. Suppose 0 = -3*q - 5*u + 1 + 4, 21 = -q + 4*u. Give r(q).\n' | b'6\n' | b'Let r(i) = i**2 + 5*i + 6. Suppose 0 = -3*q - 5*u + 1 + 4, 21 = -q + 4*u. Give r(q).\n' | b'6\n' | deepmind/math_dataset |
b'Let t(z) = -16*z + 3. Suppose 38 = -4*n + 2*w, 3*n = -0*n + w - 27. Let r(a) = 5*a + 5*a + 2*a + 12*a - 5. Let y(f) = n*t(f) - 5*r(f). What is y(-1)?\n' | b'-7\n' | b'Let t(z) = -16*z + 3. Suppose 38 = -4*n + 2*w, 3*n = -0*n + w - 27. Let r(a) = 5*a + 5*a + 2*a + 12*a - 5. Let y(f) = n*t(f) - 5*r(f). What is y(-1)?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 8, u: 3, g: 2, f: 2}. What is prob of sequence tt?\n' | b'4/15\n' | b'Two letters picked without replacement from {t: 8, u: 3, g: 2, f: 2}. What is prob of sequence tt?\n' | b'4/15\n' | deepmind/math_dataset |
b'Suppose 0*y - 15 = -s + 4*y, -y + 57 = 2*s. Let q = -25 + s. Let h(i) = 2*i + 4*i**q - 3*i + 0*i**2 - i**3 + 3. What is h(4)?\n' | b'-1\n' | b'Suppose 0*y - 15 = -s + 4*y, -y + 57 = 2*s. Let q = -25 + s. Let h(i) = 2*i + 4*i**q - 3*i + 0*i**2 - i**3 + 3. What is h(4)?\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nirroinssournri. What is prob of picking 2 s?\n' | b'1/105\n' | b'Two letters picked without replacement from nirroinssournri. What is prob of picking 2 s?\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (o**(-15)*o)/(o*o/(o/o**(2/3))*o) assuming o is positive.\n' | b'o**(-50/3)\n' | b'Simplify (o**(-15)*o)/(o*o/(o/o**(2/3))*o) assuming o is positive.\n' | b'o**(-50/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 u when two letters picked without replacement from wwnnnwnwuinxinni?\n' | b'1/30\n' | b'What is prob of picking 1 w and 1 u when two letters picked without replacement from wwnnnwnwuinxinni?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let a(p) = 6 + p - 3 + 4. Let u be a(-3). Find the second derivative of t**4 + 2*t**4 - 3*t + 0*t**u wrt t.\n' | b'36*t**2\n' | b'Let a(p) = 6 + p - 3 + 4. Let u be a(-3). Find the second derivative of t**4 + 2*t**4 - 3*t + 0*t**u wrt t.\n' | b'36*t**2\n' | deepmind/math_dataset |
b'Simplify (((w**(-3/5)*w*w)/(w/w**(-24)*w))/(w**(1/16)/(w/(w*w**(-16)/w))))**(1/7) assuming w is positive.\n' | b'w**(-613/560)\n' | b'Simplify (((w**(-3/5)*w*w)/(w/w**(-24)*w))/(w**(1/16)/(w/(w*w**(-16)/w))))**(1/7) assuming w is positive.\n' | b'w**(-613/560)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, t: 2, w: 7, n: 3, h: 1, f: 4}. Give prob of picking 1 k, 1 f, and 1 t.\n' | b'1/102\n' | b'Three letters picked without replacement from {k: 1, t: 2, w: 7, n: 3, h: 1, f: 4}. Give prob of picking 1 k, 1 f, and 1 t.\n' | b'1/102\n' | deepmind/math_dataset |
b'What is prob of sequence ixc when three letters picked without replacement from {i: 1, c: 11, x: 5}?\n' | b'11/816\n' | b'What is prob of sequence ixc when three letters picked without replacement from {i: 1, c: 11, x: 5}?\n' | b'11/816\n' | deepmind/math_dataset |
b'Let m(s) be the third derivative of s**5/30 + s**4/12 - 5*s**2. Let v be m(-2). Let t(f) = -f**3 + 3*f**2 + f + 2. Calculate t(v).\n' | b'-10\n' | b'Let m(s) be the third derivative of s**5/30 + s**4/12 - 5*s**2. Let v be m(-2). Let t(f) = -f**3 + 3*f**2 + f + 2. Calculate t(v).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of sequence ara when three letters picked without replacement from {j: 12, a: 3, r: 3}?\n' | b'1/272\n' | b'What is prob of sequence ara when three letters picked without replacement from {j: 12, a: 3, r: 3}?\n' | b'1/272\n' | deepmind/math_dataset |
b'Calculate prob of sequence kzx when three letters picked without replacement from xzkxzzzenkzzkxxz.\n' | b'1/40\n' | b'Calculate prob of sequence kzx when three letters picked without replacement from xzkxzzzenkzzkxxz.\n' | b'1/40\n' | deepmind/math_dataset |
b'What is the second derivative of -14*n + 13*n**5 + n**5 + 68*n**5 + 5*n**5 wrt n?\n' | b'1740*n**3\n' | b'What is the second derivative of -14*n + 13*n**5 + n**5 + 68*n**5 + 5*n**5 wrt n?\n' | b'1740*n**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence nihi when four letters picked without replacement from {h: 2, i: 2, n: 2}.\n' | b'1/45\n' | b'Calculate prob of sequence nihi when four letters picked without replacement from {h: 2, i: 2, n: 2}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let x(u) = 947*u**3 + 9*u + 65. Let n(z) = 1895*z**3 + 17*z + 125. Let p(m) = -3*n(m) + 5*x(m). What is the second derivative of p(v) wrt v?\n' | b'-5700*v\n' | b'Let x(u) = 947*u**3 + 9*u + 65. Let n(z) = 1895*z**3 + 17*z + 125. Let p(m) = -3*n(m) + 5*x(m). What is the second derivative of p(v) wrt v?\n' | b'-5700*v\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 r when two letters picked without replacement from {b: 5, u: 1, r: 2, d: 2, o: 5, l: 1}?\n' | b'1/30\n' | b'What is prob of picking 1 d and 1 r when two letters picked without replacement from {b: 5, u: 1, r: 2, d: 2, o: 5, l: 1}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let h(x) = -x + 9. Let m be 63/6*2/3. Let c be h(m). Find the third derivative of 4*p**c - p**2 - 2*p**5 - 2*p**2 wrt p.\n' | b'-120*p**2\n' | b'Let h(x) = -x + 9. Let m be 63/6*2/3. Let c be h(m). Find the third derivative of 4*p**c - p**2 - 2*p**5 - 2*p**2 wrt p.\n' | b'-120*p**2\n' | deepmind/math_dataset |
b'Suppose 404 = 9*o - 2656. Let d = o - 339. Let t(n) = 17*n**3 - n**2 + 1. Calculate t(d).\n' | b'17\n' | b'Suppose 404 = 9*o - 2656. Let d = o - 339. Let t(n) = 17*n**3 - n**2 + 1. Calculate t(d).\n' | b'17\n' | deepmind/math_dataset |
b'Let w = 19 - 41. Let o = 28 + w. What is the third derivative of 16*x**2 + 8*x**2 - 291*x**6 + 281*x**o wrt x?\n' | b'-1200*x**3\n' | b'Let w = 19 - 41. Let o = 28 + w. What is the third derivative of 16*x**2 + 8*x**2 - 291*x**6 + 281*x**o wrt x?\n' | b'-1200*x**3\n' | deepmind/math_dataset |
b'Suppose 9 = -4*r + r. Let w be (1 - r) + (2 - 1). Solve 3*x + 4*h = -27, 0 = -4*x + w*h - 4 - 1 for x.\n' | b'-5\n' | b'Suppose 9 = -4*r + r. Let w be (1 - r) + (2 - 1). Solve 3*x + 4*h = -27, 0 = -4*x + w*h - 4 - 1 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwwwpwwwppwwwwwww. Give prob of sequence pp.\n' | b'1/51\n' | b'Two letters picked without replacement from wwwwwpwwwppwwwwwww. Give prob of sequence pp.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let p(q) = 6*q - 22. Let o be p(4). Suppose 0*t = -2*t. Let f be 2/(-4)*t - -2. Solve -f*w - 2 = 0, -5*w + o + 2 = -3*u for u.\n' | b'-3\n' | b'Let p(q) = 6*q - 22. Let o be p(4). Suppose 0*t = -2*t. Let f be 2/(-4)*t - -2. Solve -f*w - 2 = 0, -5*w + o + 2 = -3*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the third derivative of -160*p**6 - 18*p**6 + 4133*p**4 + p**3 + 397*p**2 - 4133*p**4 wrt p.\n' | b'-21360*p**3 + 6\n' | b'Find the third derivative of -160*p**6 - 18*p**6 + 4133*p**4 + p**3 + 397*p**2 - 4133*p**4 wrt p.\n' | b'-21360*p**3 + 6\n' | deepmind/math_dataset |
b'What is prob of sequence iv when two letters picked without replacement from {m: 3, i: 1, v: 1, e: 5}?\n' | b'1/90\n' | b'What is prob of sequence iv when two letters picked without replacement from {m: 3, i: 1, v: 1, e: 5}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 2, b: 6}. What is prob of picking 2 b and 2 m?\n' | b'3/14\n' | b'Four letters picked without replacement from {m: 2, b: 6}. What is prob of picking 2 b and 2 m?\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 b, and 1 s when three letters picked without replacement from sbtgu?\n' | b'1/10\n' | b'What is prob of picking 1 t, 1 b, and 1 s when three letters picked without replacement from sbtgu?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (h**31*h/((h/(h**(2/45)*h*h))/h))/(h*h**(1/18))**(-1/6) assuming h is positive.\n' | b'h**(18479/540)\n' | b'Simplify (h**31*h/((h/(h**(2/45)*h*h))/h))/(h*h**(1/18))**(-1/6) assuming h is positive.\n' | b'h**(18479/540)\n' | deepmind/math_dataset |
b'What is the second derivative of 78*k**4 + 5*k**5 - 3*k + 10*k - 78*k**4 wrt k?\n' | b'100*k**3\n' | b'What is the second derivative of 78*k**4 + 5*k**5 - 3*k + 10*k - 78*k**4 wrt k?\n' | b'100*k**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddfk when four letters picked without replacement from {k: 2, d: 7, f: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence ddfk when four letters picked without replacement from {k: 2, d: 7, f: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((f*f**(-5)*f)/f)**(-6/13) assuming f is positive.\n' | b'f**(24/13)\n' | b'Simplify ((f*f**(-5)*f)/f)**(-6/13) assuming f is positive.\n' | b'f**(24/13)\n' | deepmind/math_dataset |
b'What is the derivative of 3005 + 105*t**2 + 877*t**2 - 2845 wrt t?\n' | b'1964*t\n' | b'What is the derivative of 3005 + 105*t**2 + 877*t**2 - 2845 wrt t?\n' | b'1964*t\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qdacqkdqkdccm. Give prob of sequence qaq.\n' | b'1/286\n' | b'Three letters picked without replacement from qdacqkdqkdccm. Give prob of sequence qaq.\n' | b'1/286\n' | deepmind/math_dataset |
b'Let c = 197 + -197. Solve -3*d = -t + 1 - 0, c = -4*d - 5*t + 24 for d.\n' | b'1\n' | b'Let c = 197 + -197. Solve -3*d = -t + 1 - 0, c = -4*d - 5*t + 24 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(q) = 195*q**2 + 6*q - 778. Let l(s) = 3*s**2 - 5*s - 2. Let g(x) = -f(x) + l(x). Differentiate g(m) with respect to m.\n' | b'-384*m - 11\n' | b'Let f(q) = 195*q**2 + 6*q - 778. Let l(s) = 3*s**2 - 5*s - 2. Let g(x) = -f(x) + l(x). Differentiate g(m) with respect to m.\n' | b'-384*m - 11\n' | deepmind/math_dataset |
b'Simplify (((d**(-2/7)*d)/d)**0*d*d**2*d**(-8)/d)**(-8) assuming d is positive.\n' | b'd**48\n' | b'Simplify (((d**(-2/7)*d)/d)**0*d*d**2*d**(-8)/d)**(-8) assuming d is positive.\n' | b'd**48\n' | deepmind/math_dataset |
b'Let u be (-623)/(-21) - 1/(-3). Let l = -30 + u. Solve 3*d + 2*z - 7 = l, -4*d + 0*z + z = 9 for d.\n' | b'-1\n' | b'Let u be (-623)/(-21) - 1/(-3). Let l = -30 + u. Solve 3*d + 2*z - 7 = l, -4*d + 0*z + z = 9 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*p = 2*s + 8, -5*s - 20 = -3*p - p. Let y be s*(-1 - (-2 - -2)). Find the second derivative of -y*x + 7*x - x + x**3 wrt x.\n' | b'6*x\n' | b'Suppose 4*p = 2*s + 8, -5*s - 20 = -3*p - p. Let y be s*(-1 - (-2 - -2)). Find the second derivative of -y*x + 7*x - x + x**3 wrt x.\n' | b'6*x\n' | deepmind/math_dataset |
b'Let f(w) = -w**3 - 9*w**2 + w + 12. Let l be f(-9). Differentiate o**4 - l*o**4 + 1 + 2*o**4 + 2*o**4 wrt o.\n' | b'8*o**3\n' | b'Let f(w) = -w**3 - 9*w**2 + w + 12. Let l be f(-9). Differentiate o**4 - l*o**4 + 1 + 2*o**4 + 2*o**4 wrt o.\n' | b'8*o**3\n' | deepmind/math_dataset |
b'Simplify (((a/(a*(a**(-4)*a)/a))/a*a*a)**(21/8)/(a**(-1/11))**11)**3 assuming a is positive.\n' | b'a**(339/8)\n' | b'Simplify (((a/(a*(a**(-4)*a)/a))/a*a*a)**(21/8)/(a**(-1/11))**11)**3 assuming a is positive.\n' | b'a**(339/8)\n' | deepmind/math_dataset |
b'Let d be (-256)/44 + -2*2/22. Let j(w) = -2*w - 8. Determine j(d).\n' | b'4\n' | b'Let d be (-256)/44 + -2*2/22. Let j(w) = -2*w - 8. Determine j(d).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -8 - 12 = -4*o + 4*x, -5*o + 13 = -2*x. Let l = 5 + -1. Suppose -j + o = -l. Solve 4*i - s = -7, -4*i - s + j = 2*s for i.\n' | b'-1\n' | b'Suppose -8 - 12 = -4*o + 4*x, -5*o + 13 = -2*x. Let l = 5 + -1. Suppose -j + o = -l. Solve 4*i - s = -7, -4*i - s + j = 2*s for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, p: 3}. What is prob of sequence vvpv?\n' | b'1/20\n' | b'Four letters picked without replacement from {v: 3, p: 3}. What is prob of sequence vvpv?\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 3 a when four letters picked without replacement from auuuuuauuauuaaaa.\n' | b'9/52\n' | b'Calculate prob of picking 1 u and 3 a when four letters picked without replacement from auuuuuauuauuaaaa.\n' | b'9/52\n' | deepmind/math_dataset |
b'Simplify n*(n/(n*n/(n**(-2/3)/n*n)))/n*n*n**(1/20) assuming n is positive.\n' | b'n**(-37/60)\n' | b'Simplify n*(n/(n*n/(n**(-2/3)/n*n)))/n*n*n**(1/20) assuming n is positive.\n' | b'n**(-37/60)\n' | deepmind/math_dataset |
b'What is prob of sequence jqqj when four letters picked without replacement from {q: 8, j: 3}?\n' | b'7/165\n' | b'What is prob of sequence jqqj when four letters picked without replacement from {q: 8, j: 3}?\n' | b'7/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lnqqqqqfqffnqqqvq. What is prob of picking 1 f, 2 n, and 1 v?\n' | b'3/2380\n' | b'Four letters picked without replacement from lnqqqqqfqffnqqqvq. What is prob of picking 1 f, 2 n, and 1 v?\n' | b'3/2380\n' | deepmind/math_dataset |
b'Suppose 2*k + 30 = -5*t, -2*k + 644*t + 24 = 640*t. Solve -z = -2, k = 2*f + 4*z + 10 - 28 for f.\n' | b'5\n' | b'Suppose 2*k + 30 = -5*t, -2*k + 644*t + 24 = 640*t. Solve -z = -2, k = 2*f + 4*z + 10 - 28 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(w) = -w + 3. Let s(z) = 5*z + 7. Let a be s(-5). Let t = a - -27. Suppose k + 2*m - t = -1, -4*k = -4*m + 16. Calculate l(k).\n' | b'3\n' | b'Let l(w) = -w + 3. Let s(z) = 5*z + 7. Let a be s(-5). Let t = a - -27. Suppose k + 2*m - t = -1, -4*k = -4*m + 16. Calculate l(k).\n' | b'3\n' | deepmind/math_dataset |
b'Let v(r) be the second derivative of 9*r**7/14 - 11*r**4/3 + r. What is the third derivative of v(d) wrt d?\n' | b'1620*d**2\n' | b'Let v(r) be the second derivative of 9*r**7/14 - 11*r**4/3 + r. What is the third derivative of v(d) wrt d?\n' | b'1620*d**2\n' | deepmind/math_dataset |
b'Let b(h) = 0 + 7*h + 7*h - 13*h - 4. Let x be b(7). Let r(m) = 22*m**x - 36*m**3 + 15*m**3 + m - 4 - 2*m**2. Give r(3).\n' | b'8\n' | b'Let b(h) = 0 + 7*h + 7*h - 13*h - 4. Let x be b(7). Let r(m) = 22*m**x - 36*m**3 + 15*m**3 + m - 4 - 2*m**2. Give r(3).\n' | b'8\n' | deepmind/math_dataset |
b'Let t(w) = 2*w**3 - 17*w**2 + 6*w + 7. Let v be t(8). Let i be (6/v)/(2/111). Let g = i - -40. Solve 0 = 3*k - 15, 0 = 4*x - g*k + k + 30 for x.\n' | b'-5\n' | b'Let t(w) = 2*w**3 - 17*w**2 + 6*w + 7. Let v be t(8). Let i be (6/v)/(2/111). Let g = i - -40. Solve 0 = 3*k - 15, 0 = 4*x - g*k + k + 30 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mgmggmgmmmm. What is prob of sequence ggm?\n' | b'14/165\n' | b'Three letters picked without replacement from mgmggmgmmmm. What is prob of sequence ggm?\n' | b'14/165\n' | deepmind/math_dataset |
b'Simplify a/a**(-3/14)*a*(a/((a/(a*a/(a*a**(1/57)*a*a)))/a))/a assuming a is positive.\n' | b'a**(955/798)\n' | b'Simplify a/a**(-3/14)*a*(a/((a/(a*a/(a*a**(1/57)*a*a)))/a))/a assuming a is positive.\n' | b'a**(955/798)\n' | deepmind/math_dataset |
b'Let n(u) = 48*u - 768. Let o be n(16). Solve 5*s = a + 23, 17*s - 15*s + 2*a - 14 = o for s.\n' | b'5\n' | b'Let n(u) = 48*u - 768. Let o be n(16). Solve 5*s = a + 23, 17*s - 15*s + 2*a - 14 = o for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(j) be the third derivative of -j**9/60480 + j**8/5040 + j**6/360 - j**5/15 + 14*j**2. Let x(y) be the third derivative of a(y). Calculate x(4).\n' | b'2\n' | b'Let a(j) be the third derivative of -j**9/60480 + j**8/5040 + j**6/360 - j**5/15 + 14*j**2. Let x(y) be the third derivative of a(y). Calculate x(4).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (t/t**(-2))**(-10/3)/((t/(t**15*t)*t)/t*t**8) assuming t is positive.\n' | b't**(-3)\n' | b'Simplify (t/t**(-2))**(-10/3)/((t/(t**15*t)*t)/t*t**8) assuming t is positive.\n' | b't**(-3)\n' | deepmind/math_dataset |
b'Simplify (y/((y/(y*y/(y*((((y*y*y/y**(-2/7)*y)/y)/y)/y)/y)))/y))**(-1/2)*y/(y*(y/(y*y**(-6)))/y*y*y)*y**(-3/2) assuming y is positive.\n' | b'y**(-131/14)\n' | b'Simplify (y/((y/(y*y/(y*((((y*y*y/y**(-2/7)*y)/y)/y)/y)/y)))/y))**(-1/2)*y/(y*(y/(y*y**(-6)))/y*y*y)*y**(-3/2) assuming y is positive.\n' | b'y**(-131/14)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nunuiurkuk. Give prob of sequence unnu.\n' | b'1/210\n' | b'Four letters picked without replacement from nunuiurkuk. Give prob of sequence unnu.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let a(u) be the second derivative of 103*u**4/12 - 77*u**3/3 - 2*u - 21. What is the second derivative of a(k) wrt k?\n' | b'206\n' | b'Let a(u) be the second derivative of 103*u**4/12 - 77*u**3/3 - 2*u - 21. What is the second derivative of a(k) wrt k?\n' | b'206\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 8, q: 1, m: 1, i: 1, o: 6}. Give prob of sequence oq.\n' | b'3/136\n' | b'Two letters picked without replacement from {c: 8, q: 1, m: 1, i: 1, o: 6}. Give prob of sequence oq.\n' | b'3/136\n' | deepmind/math_dataset |
b'What is prob of sequence zhzz when four letters picked without replacement from {z: 11, h: 1}?\n' | b'1/12\n' | b'What is prob of sequence zhzz when four letters picked without replacement from {z: 11, h: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let s(n) = -43*n**2 + n + 1. Let f(v) = 259*v**2 - 4*v - 49. Let y(c) = -f(c) - 6*s(c). Calculate y(0).\n' | b'43\n' | b'Let s(n) = -43*n**2 + n + 1. Let f(v) = 259*v**2 - 4*v - 49. Let y(c) = -f(c) - 6*s(c). Calculate y(0).\n' | b'43\n' | deepmind/math_dataset |
b'Let s(w) = -w**3 - 6*w**2 + 6*w - 4. Let t be s(-7). Let k be (t/2)/((-6)/(-84)). Let m be 2/7 + (-6)/k. Solve 3*r - 2*g + 0*g + 10 = m, -r - 20 = -4*g for r.\n' | b'0\n' | b'Let s(w) = -w**3 - 6*w**2 + 6*w - 4. Let t be s(-7). Let k be (t/2)/((-6)/(-84)). Let m be 2/7 + (-6)/k. Solve 3*r - 2*g + 0*g + 10 = m, -r - 20 = -4*g for r.\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of -4 - 7*u**2 + 0 - 2*u - 13 wrt u?\n' | b'-14\n' | b'What is the second derivative of -4 - 7*u**2 + 0 - 2*u - 13 wrt u?\n' | b'-14\n' | deepmind/math_dataset |
b'Let l(p) = p**3 + 14*p**2 - 2*p - 20. Let x be l(-14). Let v(q) = q**2 - 8*q - 11. What is v(x)?\n' | b'-11\n' | b'Let l(p) = p**3 + 14*p**2 - 2*p - 20. Let x be l(-14). Let v(q) = q**2 - 8*q - 11. What is v(x)?\n' | b'-11\n' | deepmind/math_dataset |
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