question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
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b'Suppose 4 = 5*u - 6. Let v = -8786 + 8789. Solve 2*j + v = 4*k - 1, -4*j - u*k = -22 for j.\n' | b'4\n' | b'Suppose 4 = 5*u - 6. Let v = -8786 + 8789. Solve 2*j + v = 4*k - 1, -4*j - u*k = -22 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let p(b) = b**3 + b**2 - b. Let n be (-1)/4 - 2/(-8). Let i be p(n). Suppose 0 = -5*o - i*o + 20. Let l(z) = z**2 - 5*z + 4. Determine l(o).\n' | b'0\n' | b'Let p(b) = b**3 + b**2 - b. Let n be (-1)/4 - 2/(-8). Let i be p(n). Suppose 0 = -5*o - i*o + 20. Let l(z) = z**2 - 5*z + 4. Determine l(o).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -6*o + 8 + 4 = 0. Let b(r) = 1 + r + 1776*r**o - 886*r**2 - 895*r**2. What is b(-1)?\n' | b'-5\n' | b'Suppose -6*o + 8 + 4 = 0. Let b(r) = 1 + r + 1776*r**o - 886*r**2 - 895*r**2. What is b(-1)?\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jwwmmmjmj. What is prob of picking 3 m?\n' | b'1/21\n' | b'Three letters picked without replacement from jwwmmmjmj. What is prob of picking 3 m?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, b: 4, a: 1, y: 12}. Give prob of sequence yb.\n' | b'12/95\n' | b'Two letters picked without replacement from {t: 3, b: 4, a: 1, y: 12}. Give prob of sequence yb.\n' | b'12/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 2 b when three letters picked without replacement from cbcaccbbbbbbab.\n' | b'2/13\n' | b'Calculate prob of picking 1 a and 2 b when three letters picked without replacement from cbcaccbbbbbbab.\n' | b'2/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, g: 1, p: 2}. What is prob of sequence ug?\n' | b'1/12\n' | b'Two letters picked without replacement from {u: 1, g: 1, p: 2}. What is prob of sequence ug?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -3*i = u - 5, 0*i = -2*i + 2*u - 2. Let q = -1 + i. Let r(a) = 0*a + q*a - a + 4 + 4. Determine r(0).\n' | b'8\n' | b'Suppose -3*i = u - 5, 0*i = -2*i + 2*u - 2. Let q = -1 + i. Let r(a) = 0*a + q*a - a + 4 + 4. Determine r(0).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (p**0)**(2/49)/((p**2/p)/p)**13 assuming p is positive.\n' | b'1\n' | b'Simplify (p**0)**(2/49)/((p**2/p)/p)**13 assuming p is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-2/87)*r**(-1/14))**(7/13))**(1/15) assuming r is positive.\n' | b'r**(1103/33930)\n' | b'Simplify ((r*r**(-2/87)*r**(-1/14))**(7/13))**(1/15) assuming r is positive.\n' | b'r**(1103/33930)\n' | deepmind/math_dataset |
b'Simplify ((h/h**(-7/3)*h/(h**13/h))/((h*h*h*h*h*h**5)/h*h**(-7)))**(2/27) assuming h is positive.\n' | b'h**(-58/81)\n' | b'Simplify ((h/h**(-7/3)*h/(h**13/h))/((h*h*h*h*h*h**5)/h*h**(-7)))**(2/27) assuming h is positive.\n' | b'h**(-58/81)\n' | deepmind/math_dataset |
b'Let a(b) = b**2 + b + 18. Let q = -89 + 120. Let n = 31 - q. Determine a(n).\n' | b'18\n' | b'Let a(b) = b**2 + b + 18. Let q = -89 + 120. Let n = 31 - q. Determine a(n).\n' | b'18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ugubrddbddluglbl. Give prob of picking 1 l and 1 d.\n' | b'1/10\n' | b'Two letters picked without replacement from ugubrddbddluglbl. Give prob of picking 1 l and 1 d.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hshahhsvwwwawvvvh. Give prob of picking 1 s, 1 h, and 2 w.\n' | b'3/119\n' | b'Four letters picked without replacement from hshahhsvwwwawvvvh. Give prob of picking 1 s, 1 h, and 2 w.\n' | b'3/119\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fgsgrssggfvffrrsgs. Give prob of picking 2 g and 1 s.\n' | b'25/408\n' | b'Three letters picked without replacement from fgsgrssggfvffrrsgs. Give prob of picking 2 g and 1 s.\n' | b'25/408\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, g: 4, d: 6, n: 1, f: 4, w: 1}. Give prob of picking 1 h, 1 n, 1 w, and 1 d.\n' | b'1/255\n' | b'Four letters picked without replacement from {h: 2, g: 4, d: 6, n: 1, f: 4, w: 1}. Give prob of picking 1 h, 1 n, 1 w, and 1 d.\n' | b'1/255\n' | deepmind/math_dataset |
b'Let v(l) = -l**3 + l**2 + l + 1. Let b(j) = 7*j**3 - j**2 - 8*j - 2. Let u(p) = -b(p) - 6*v(p). Suppose 20 = -5*w - 10. Determine u(w).\n' | b'20\n' | b'Let v(l) = -l**3 + l**2 + l + 1. Let b(j) = 7*j**3 - j**2 - 8*j - 2. Let u(p) = -b(p) - 6*v(p). Suppose 20 = -5*w - 10. Determine u(w).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify b**8*b*((b*b/b**9)/b)/b*(b*b**(-4))/b**(3/14) assuming b is positive.\n' | b'b**(-45/14)\n' | b'Simplify b**8*b*((b*b/b**9)/b)/b*(b*b**(-4))/b**(3/14) assuming b is positive.\n' | b'b**(-45/14)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tijjtjtijgvijt. What is prob of sequence gjv?\n' | b'5/2184\n' | b'Three letters picked without replacement from tijjtjtijgvijt. What is prob of sequence gjv?\n' | b'5/2184\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 t, and 1 a when three letters picked without replacement from aaatffaaafttaaptfatf.\n' | b'15/76\n' | b'Calculate prob of picking 1 f, 1 t, and 1 a when three letters picked without replacement from aaatffaaafttaaptfatf.\n' | b'15/76\n' | deepmind/math_dataset |
b'Let w(m) = -m**3 + 5*m**2 - 2*m + 1. Let v be ((-12)/(-8)*2)/(3/5). Calculate w(v).\n' | b'-9\n' | b'Let w(m) = -m**3 + 5*m**2 - 2*m + 1. Let v be ((-12)/(-8)*2)/(3/5). Calculate w(v).\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnnm. What is prob of picking 2 n?\n' | b'1/2\n' | b'Two letters picked without replacement from nnnm. What is prob of picking 2 n?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let g(k) = 2 + 0 + 7*k - 1 + 0*k. Let t(s) = -1. Let u(p) = g(p) + 2*t(p). Let i be (2/(-4) + 0)*2. Calculate u(i).\n' | b'-8\n' | b'Let g(k) = 2 + 0 + 7*k - 1 + 0*k. Let t(s) = -1. Let u(p) = g(p) + 2*t(p). Let i be (2/(-4) + 0)*2. Calculate u(i).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose n + 15 = 2*p, -p - 38 = 3*n - 0*p. Let o = -7 - n. Let g be (-1)/1 + 4 + 1. Solve -5*l + 1 + o = g*q, -2*l = 3*q for l.\n' | b'3\n' | b'Suppose n + 15 = 2*p, -p - 38 = 3*n - 0*p. Let o = -7 - n. Let g be (-1)/1 + 4 + 1. Solve -5*l + 1 + o = g*q, -2*l = 3*q for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let t(q) = -q + 3. Let a be t(-10). Let c(y) = a - 13 - y. Let m be 2/(-2 + (-24)/(-10)). Calculate c(m).\n' | b'-5\n' | b'Let t(q) = -q + 3. Let a be t(-10). Let c(y) = a - 13 - y. Let m be 2/(-2 + (-24)/(-10)). Calculate c(m).\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(l) = -l - 6. Let d be g(-9). Suppose 5 - d = -2*h. Let y(n) = 2*n**3 + n. Calculate y(h).\n' | b'-3\n' | b'Let g(l) = -l - 6. Let d be g(-9). Suppose 5 - d = -2*h. Let y(n) = 2*n**3 + n. Calculate y(h).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -3*p - 12, 5*g + 9 = -0*p - p. Let s be (0 - g)*(-6 - -7). Let a = s + 5. Let m(x) = -2*x + 3. Determine m(a).\n' | b'-9\n' | b'Suppose 0 = -3*p - 12, 5*g + 9 = -0*p - p. Let s be (0 - g)*(-6 - -7). Let a = s + 5. Let m(x) = -2*x + 3. Determine m(a).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (d*d/(d/d**(2/23)*d)*d)/d**(-10)*d*d**17/d*d/d**5*d assuming d is positive.\n' | b'd**(577/23)\n' | b'Simplify (d*d/(d/d**(2/23)*d)*d)/d**(-10)*d*d**17/d*d/d**5*d assuming d is positive.\n' | b'd**(577/23)\n' | deepmind/math_dataset |
b'Let d(c) = -6*c**2 - 381*c + 163. Let h be d(-64). Let k(i) = -13*i - 373. Calculate k(h).\n' | b'4\n' | b'Let d(c) = -6*c**2 - 381*c + 163. Let h be d(-64). Let k(i) = -13*i - 373. Calculate k(h).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (y**8/(y**(-2/7)*y))/(y**(-5/3)/(y*y**4*y)) assuming y is positive.\n' | b'y**(314/21)\n' | b'Simplify (y**8/(y**(-2/7)*y))/(y**(-5/3)/(y*y**4*y)) assuming y is positive.\n' | b'y**(314/21)\n' | deepmind/math_dataset |
b'Simplify (((o**(2/13)*o)**(-3/28))**42)**(7/6) assuming o is positive.\n' | b'o**(-315/52)\n' | b'Simplify (((o**(2/13)*o)**(-3/28))**42)**(7/6) assuming o is positive.\n' | b'o**(-315/52)\n' | deepmind/math_dataset |
b'Let z(q) = -10*q + 4*q - 34048 + 34276. Determine z(43).\n' | b'-30\n' | b'Let z(q) = -10*q + 4*q - 34048 + 34276. Determine z(43).\n' | b'-30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g, 1 w, and 1 k when three letters picked without replacement from {c: 7, g: 3, y: 4, k: 2, t: 1, w: 1}.\n' | b'1/136\n' | b'Calculate prob of picking 1 g, 1 w, and 1 k when three letters picked without replacement from {c: 7, g: 3, y: 4, k: 2, t: 1, w: 1}.\n' | b'1/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, n: 1, l: 1, j: 8, u: 3, h: 1}. What is prob of sequence hu?\n' | b'1/80\n' | b'Two letters picked without replacement from {i: 2, n: 1, l: 1, j: 8, u: 3, h: 1}. What is prob of sequence hu?\n' | b'1/80\n' | deepmind/math_dataset |
b'Let m be (-22)/2 + 2120/265. Let b(i) = -4*i - 13. Give b(m).\n' | b'-1\n' | b'Let m be (-22)/2 + 2120/265. Let b(i) = -4*i - 13. Give b(m).\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(v) be the second derivative of -4*v**4 + 41*v**3/6 - 3*v**2/2 - 2*v + 57. Find the second derivative of x(b) wrt b.\n' | b'-96\n' | b'Let x(v) be the second derivative of -4*v**4 + 41*v**3/6 - 3*v**2/2 - 2*v + 57. Find the second derivative of x(b) wrt b.\n' | b'-96\n' | deepmind/math_dataset |
b'Suppose -4*n = p - 24, 6*n = 5*p + 5*n - 57. Let m = 18 - p. Solve 5*t - 9 = -4*k, -m*t + 2*t = -4*k for t.\n' | b'1\n' | b'Suppose -4*n = p - 24, 6*n = 5*p + 5*n - 57. Let m = 18 - p. Solve 5*t - 9 = -4*k, -m*t + 2*t = -4*k for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(m) = -2*m**2 + 3*m + 4. Let f be k(3). Let z(v) = -v - 2. Let o be z(f). Solve 0*y - 2 = -2*q - 4*y, 1 = -2*q - o*y for q.\n' | b'-5\n' | b'Let k(m) = -2*m**2 + 3*m + 4. Let f be k(3). Let z(v) = -v - 2. Let o be z(f). Solve 0*y - 2 = -2*q - 4*y, 1 = -2*q - o*y for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 14 = 4*i - 2*o, -9 = -4*i - 0*i + 3*o. Let w(u) = u**2. Let q(y) = 7*y**2 - y + 3. Let h(r) = i*w(r) - q(r). Determine h(3).\n' | b'-9\n' | b'Suppose 14 = 4*i - 2*o, -9 = -4*i - 0*i + 3*o. Let w(u) = u**2. Let q(y) = 7*y**2 - y + 3. Let h(r) = i*w(r) - q(r). Determine h(3).\n' | b'-9\n' | deepmind/math_dataset |
b'Find the third derivative of 441*i**3 - 51*i + 218*i**2 + 51*i - 54*i**3 wrt i.\n' | b'2322\n' | b'Find the third derivative of 441*i**3 - 51*i + 218*i**2 + 51*i - 54*i**3 wrt i.\n' | b'2322\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from {k: 2, h: 3}.\n' | b'1/10\n' | b'Calculate prob of sequence kk when two letters picked without replacement from {k: 2, h: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -4*a - a = 0. Suppose a*l + 2*l = 0. Suppose -v - 3*v = l. Solve -2*s - p = v, s + 3*s - 12 = p for s.\n' | b'2\n' | b'Suppose -4*a - a = 0. Suppose a*l + 2*l = 0. Suppose -v - 3*v = l. Solve -2*s - p = v, s + 3*s - 12 = p for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let j(q) = -q. Let t be (-1)/(-2) - (-3)/2. Suppose -t*g - 2 = 2. Let s be j(g). Solve -18 = 2*p - 5*d, -2*p + 0*d - 6 = -s*d for p.\n' | b'1\n' | b'Let j(q) = -q. Let t be (-1)/(-2) - (-3)/2. Suppose -t*g - 2 = 2. Let s be j(g). Solve -18 = 2*p - 5*d, -2*p + 0*d - 6 = -s*d for p.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -w = -2*x + 10, -3*x - 5*w = -20 + 5. Suppose 0 = -2*z + 2*t + x + 9, 4*t = z - 22. Solve -z*k = k + p + 7, 22 = -2*k - 5*p for k.\n' | b'-1\n' | b'Suppose -w = -2*x + 10, -3*x - 5*w = -20 + 5. Suppose 0 = -2*z + 2*t + x + 9, 4*t = z - 22. Solve -z*k = k + p + 7, 22 = -2*k - 5*p for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((j*j*j**(-5))/j)**(-43)/(j**(-1/5))**15 assuming j is positive.\n' | b'j**175\n' | b'Simplify ((j*j*j**(-5))/j)**(-43)/(j**(-1/5))**15 assuming j is positive.\n' | b'j**175\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, l: 5, u: 4, w: 4, o: 2}. Give prob of picking 1 l and 1 w.\n' | b'1/6\n' | b'Two letters picked without replacement from {h: 1, l: 5, u: 4, w: 4, o: 2}. Give prob of picking 1 l and 1 w.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let g = -8 - -22. Let w = g - 9. Solve 3*p - 6 = 5*r + 4*p, 4*r = w*p + 1 for r.\n' | b'-1\n' | b'Let g = -8 - -22. Let w = g - 9. Solve 3*p - 6 = 5*r + 4*p, 4*r = w*p + 1 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (o/(((o*o**(-2/5))/o)/o))**(2/95)*(o**1)**9 assuming o is positive.\n' | b'o**(4299/475)\n' | b'Simplify (o/(((o*o**(-2/5))/o)/o))**(2/95)*(o**1)**9 assuming o is positive.\n' | b'o**(4299/475)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g and 1 h when four letters picked without replacement from {g: 4, h: 3}.\n' | b'12/35\n' | b'Calculate prob of picking 3 g and 1 h when four letters picked without replacement from {g: 4, h: 3}.\n' | b'12/35\n' | deepmind/math_dataset |
b'Suppose 0 = -u - 6 + 11. Find the third derivative of -94*m**2 - 5*m**4 + u*m**4 - 4*m**5 + 96*m**2 wrt m.\n' | b'-240*m**2\n' | b'Suppose 0 = -u - 6 + 11. Find the third derivative of -94*m**2 - 5*m**4 + u*m**4 - 4*m**5 + 96*m**2 wrt m.\n' | b'-240*m**2\n' | deepmind/math_dataset |
b'Suppose 52 = 9*k + 142. Let b(h) = 2*h + 15. What is b(k)?\n' | b'-5\n' | b'Suppose 52 = 9*k + 142. Let b(h) = 2*h + 15. What is b(k)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*y + 19*g - 22*g = -2, y + 14 = 4*g. Solve 2*k - 4*d - 4 = 6, 11 = -k - y*d for k.\n' | b'-3\n' | b'Suppose 5*y + 19*g - 22*g = -2, y + 14 = 4*g. Solve 2*k - 4*d - 4 = 6, 11 = -k - y*d for k.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence oer when three letters picked without replacement from {b: 1, n: 1, e: 1, o: 2, p: 1, r: 1}?\n' | b'1/105\n' | b'What is prob of sequence oer when three letters picked without replacement from {b: 1, n: 1, e: 1, o: 2, p: 1, r: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 4 c when four letters picked without replacement from qqqqqqqqqcqqcqqcqcqq?\n' | b'1/4845\n' | b'What is prob of picking 4 c when four letters picked without replacement from qqqqqqqqqcqqcqqcqcqq?\n' | b'1/4845\n' | deepmind/math_dataset |
b'Calculate prob of sequence dp when two letters picked without replacement from idpipdipiiip.\n' | b'2/33\n' | b'Calculate prob of sequence dp when two letters picked without replacement from idpipdipiiip.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let r(l) be the third derivative of 43*l**7/105 + 9*l**5/20 - l**3/6 - l**2 + 20. What is the third derivative of r(o) wrt o?\n' | b'2064*o\n' | b'Let r(l) be the third derivative of 43*l**7/105 + 9*l**5/20 - l**3/6 - l**2 + 20. What is the third derivative of r(o) wrt o?\n' | b'2064*o\n' | deepmind/math_dataset |
b'Let c(m) = 160*m + 5 - 622*m + 154*m + 164*m + 165*m. What is c(3)?\n' | b'68\n' | b'Let c(m) = 160*m + 5 - 622*m + 154*m + 164*m + 165*m. What is c(3)?\n' | b'68\n' | deepmind/math_dataset |
b'Let q(z) = 2*z + 22. Let o be q(-11). Suppose 5*a + 5*c = 28 - 3, -2*c = -4*a - 10. Suppose o = -d + 2 - a. Solve -2*f + 2*h = 0, 0 = -3*h + 1 + d for f.\n' | b'1\n' | b'Let q(z) = 2*z + 22. Let o be q(-11). Suppose 5*a + 5*c = 28 - 3, -2*c = -4*a - 10. Suppose o = -d + 2 - a. Solve -2*f + 2*h = 0, 0 = -3*h + 1 + d for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(q) = 90*q**3 + 16*q**2 - q - 2. Let a(h) = 451*h**3 + 80*h**2 - 5*h - 11. Let v(c) = 2*a(c) - 11*s(c). What is the third derivative of v(p) wrt p?\n' | b'-528\n' | b'Let s(q) = 90*q**3 + 16*q**2 - q - 2. Let a(h) = 451*h**3 + 80*h**2 - 5*h - 11. Let v(c) = 2*a(c) - 11*s(c). What is the third derivative of v(p) wrt p?\n' | b'-528\n' | deepmind/math_dataset |
b'Let y(g) = 18*g**3 + 3*g**2 - 6*g + 7. Let l(j) = -18*j**3 - 4*j**2 + 7*j - 7. Let x(r) = -3*l(r) - 4*y(r). Find the second derivative of x(s) wrt s.\n' | b'-108*s\n' | b'Let y(g) = 18*g**3 + 3*g**2 - 6*g + 7. Let l(j) = -18*j**3 - 4*j**2 + 7*j - 7. Let x(r) = -3*l(r) - 4*y(r). Find the second derivative of x(s) wrt s.\n' | b'-108*s\n' | deepmind/math_dataset |
b'Calculate prob of sequence hi when two letters picked without replacement from ihgxxiz.\n' | b'1/21\n' | b'Calculate prob of sequence hi when two letters picked without replacement from ihgxxiz.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of sequence hho when three letters picked without replacement from nhohohhooh?\n' | b'1/9\n' | b'What is prob of sequence hho when three letters picked without replacement from nhohohhooh?\n' | b'1/9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, z: 2, j: 6, w: 1, u: 6}. Give prob of sequence ju.\n' | b'9/68\n' | b'Two letters picked without replacement from {e: 2, z: 2, j: 6, w: 1, u: 6}. Give prob of sequence ju.\n' | b'9/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, i: 3, f: 12}. Give prob of picking 2 i.\n' | b'3/136\n' | b'Two letters picked without replacement from {g: 2, i: 3, f: 12}. Give prob of picking 2 i.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let r(n) be the third derivative of 0*n**3 + 27*n**2 + 0 - 1/20*n**5 + 0*n - 1/8*n**4. Determine r(-2).\n' | b'-6\n' | b'Let r(n) be the third derivative of 0*n**3 + 27*n**2 + 0 - 1/20*n**5 + 0*n - 1/8*n**4. Determine r(-2).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, h: 1, s: 1, g: 2, k: 1, b: 1}. Give prob of sequence ng.\n' | b'1/14\n' | b'Two letters picked without replacement from {n: 2, h: 1, s: 1, g: 2, k: 1, b: 1}. Give prob of sequence ng.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let o be (-16)/(-104) + (-4)/26. Solve -h + 2 = 2*h + j, 2*j - 4 = o for h.\n' | b'0\n' | b'Let o be (-16)/(-104) + (-4)/26. Solve -h + 2 = 2*h + j, 2*j - 4 = o for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(s) be the third derivative of -23*s**7/70 + s**6/60 - 1127*s**3/6 + 439*s**2. What is the first derivative of k(u) wrt u?\n' | b'-276*u**3 + 6*u**2\n' | b'Let k(s) be the third derivative of -23*s**7/70 + s**6/60 - 1127*s**3/6 + 439*s**2. What is the first derivative of k(u) wrt u?\n' | b'-276*u**3 + 6*u**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 4, b: 2}. Give prob of picking 2 i and 1 b.\n' | b'3/5\n' | b'Three letters picked without replacement from {i: 4, b: 2}. Give prob of picking 2 i and 1 b.\n' | b'3/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 6, r: 9, j: 2, o: 1}. What is prob of sequence ojnj?\n' | b'1/6120\n' | b'Four letters picked without replacement from {n: 6, r: 9, j: 2, o: 1}. What is prob of sequence ojnj?\n' | b'1/6120\n' | deepmind/math_dataset |
b'Suppose 2*c - 8 = 0, 3*h + 15*c - 18*c + 6 = 0. Solve -3*i = 2*w + h + 4, -i + 5*w = -15 for i.\n' | b'0\n' | b'Suppose 2*c - 8 = 0, 3*h + 15*c - 18*c + 6 = 0. Solve -3*i = 2*w + h + 4, -i + 5*w = -15 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((j**1*j/(j*j/(((j/(j*j*j**5))/j)/j)))/((j/j**(-1/10))/(j*j*j**(-6))))/((j**(1/3))**(1/46))**50 assuming j is positive.\n' | b'j**(-9289/690)\n' | b'Simplify ((j**1*j/(j*j/(((j/(j*j*j**5))/j)/j)))/((j/j**(-1/10))/(j*j*j**(-6))))/((j**(1/3))**(1/46))**50 assuming j is positive.\n' | b'j**(-9289/690)\n' | deepmind/math_dataset |
b'Let s(c) be the first derivative of -76*c**7/7 + 8*c**3/3 + 2*c - 22. What is the third derivative of s(r) wrt r?\n' | b'-9120*r**3\n' | b'Let s(c) be the first derivative of -76*c**7/7 + 8*c**3/3 + 2*c - 22. What is the third derivative of s(r) wrt r?\n' | b'-9120*r**3\n' | deepmind/math_dataset |
b'Simplify (x**16*x)/(x*x*x/x**(5/4)*x*x)*(x/((x**(-9)/x)/x))**33 assuming x is positive.\n' | b'x**(1637/4)\n' | b'Simplify (x**16*x)/(x*x*x/x**(5/4)*x*x)*(x/((x**(-9)/x)/x))**33 assuming x is positive.\n' | b'x**(1637/4)\n' | deepmind/math_dataset |
b'Let l(n) = 79*n**2 - 47*n**2 - 3*n - 31*n**2 + 5. Give l(4).\n' | b'9\n' | b'Let l(n) = 79*n**2 - 47*n**2 - 3*n - 31*n**2 + 5. Give l(4).\n' | b'9\n' | deepmind/math_dataset |
b'Let i(j) = 2*j + 2 - 4 + 1. Let g be i(3). Let n = 3 + g. Solve -2*l - n = 2*a + 3*a, -2*l - 8 = -2*a for a.\n' | b'0\n' | b'Let i(j) = 2*j + 2 - 4 + 1. Let g be i(3). Let n = 3 + g. Solve -2*l - n = 2*a + 3*a, -2*l - 8 = -2*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 13, z: 5, e: 2}. What is prob of sequence ef?\n' | b'13/190\n' | b'Two letters picked without replacement from {f: 13, z: 5, e: 2}. What is prob of sequence ef?\n' | b'13/190\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oqqcqyzclyqoocloycoc. Give prob of picking 2 q, 1 l, and 1 o.\n' | b'4/323\n' | b'Four letters picked without replacement from oqqcqyzclyqoocloycoc. Give prob of picking 2 q, 1 l, and 1 o.\n' | b'4/323\n' | deepmind/math_dataset |
b'What is the third derivative of 18 + 2*b**2 - 3 - 152 + 17*b**3 + 2*b**4 - 115 wrt b?\n' | b'48*b + 102\n' | b'What is the third derivative of 18 + 2*b**2 - 3 - 152 + 17*b**3 + 2*b**4 - 115 wrt b?\n' | b'48*b + 102\n' | deepmind/math_dataset |
b'Let b(k) = 2*k + 13. Let t be b(7). Suppose -a = -2*a + t. Suppose -12 = -u - 2*x, 0*u + 3*u + 3*x - a = 0. Let y(p) = p**2 - 6*p - 4. Calculate y(u).\n' | b'-4\n' | b'Let b(k) = 2*k + 13. Let t be b(7). Suppose -a = -2*a + t. Suppose -12 = -u - 2*x, 0*u + 3*u + 3*x - a = 0. Let y(p) = p**2 - 6*p - 4. Calculate y(u).\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, i: 2, n: 2}. Give prob of sequence nan.\n' | b'1/30\n' | b'Three letters picked without replacement from {a: 1, i: 2, n: 2}. Give prob of sequence nan.\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of sequence dve when three letters picked without replacement from oveonnoend?\n' | b'1/360\n' | b'What is prob of sequence dve when three letters picked without replacement from oveonnoend?\n' | b'1/360\n' | deepmind/math_dataset |
b'Calculate prob of sequence ez when two letters picked without replacement from eeeeeezeeeeeeeeeeeze.\n' | b'9/95\n' | b'Calculate prob of sequence ez when two letters picked without replacement from eeeeeezeeeeeeeeeeeze.\n' | b'9/95\n' | deepmind/math_dataset |
b'Simplify (k/(k/k**(-5)))**(2/17)/((k*k**(5/7)*k*k)/(k**(4/3)/k*k)) assuming k is positive.\n' | b'k**(-1060/357)\n' | b'Simplify (k/(k/k**(-5)))**(2/17)/((k*k**(5/7)*k*k)/(k**(4/3)/k*k)) assuming k is positive.\n' | b'k**(-1060/357)\n' | deepmind/math_dataset |
b'Suppose 4*j + 3*i - 231 = 0, -142 = 9*j - 12*j + 4*i. Differentiate -271 + 53 + 33*z**3 - 29*z**3 - j*z**3 - 22*z**3 wrt z.\n' | b'-216*z**2\n' | b'Suppose 4*j + 3*i - 231 = 0, -142 = 9*j - 12*j + 4*i. Differentiate -271 + 53 + 33*z**3 - 29*z**3 - j*z**3 - 22*z**3 wrt z.\n' | b'-216*z**2\n' | deepmind/math_dataset |
b'Differentiate 4519*y**2 + 59*y - 747 + 609*y**2 - 59*y wrt y.\n' | b'10256*y\n' | b'Differentiate 4519*y**2 + 59*y - 747 + 609*y**2 - 59*y wrt y.\n' | b'10256*y\n' | deepmind/math_dataset |
b'Let w(i) be the second derivative of 7*i**6/15 + i**2 - 7*i. What is the first derivative of w(h) wrt h?\n' | b'56*h**3\n' | b'Let w(i) be the second derivative of 7*i**6/15 + i**2 - 7*i. What is the first derivative of w(h) wrt h?\n' | b'56*h**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppupczzcp. What is prob of sequence cu?\n' | b'1/36\n' | b'Two letters picked without replacement from ppupczzcp. What is prob of sequence cu?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let j(l) be the third derivative of l**5/60 - l**4/6 + l**3/2 - 9*l**2. Give j(4).\n' | b'3\n' | b'Let j(l) be the third derivative of l**5/60 - l**4/6 + l**3/2 - 9*l**2. Give j(4).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 r when three letters picked without replacement from rrqqqvqrrqqqqqqqqqqr?\n' | b'1/114\n' | b'What is prob of picking 3 r when three letters picked without replacement from rrqqqvqrrqqqqqqqqqqr?\n' | b'1/114\n' | deepmind/math_dataset |
b'Suppose -d - 2 = 2*l + 8, 0 = -4*l - 20. Solve -o + 1 + 1 = 0, d = 3*b + 5*o + 2 for b.\n' | b'-4\n' | b'Suppose -d - 2 = 2*l + 8, 0 = -4*l - 20. Solve -o + 1 + 1 = 0, d = 3*b + 5*o + 2 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((s**(-3/2)/(s**(-6)/s))/((s*s/s**(-1))/s**7))/((s**(-1/3))**(-37))**4 assuming s is positive.\n' | b's**(-239/6)\n' | b'Simplify ((s**(-3/2)/(s**(-6)/s))/((s*s/s**(-1))/s**7))/((s**(-1/3))**(-37))**4 assuming s is positive.\n' | b's**(-239/6)\n' | deepmind/math_dataset |
b'Let i = 5 + 0. Suppose 4*v + 5*s + 19 + 12 = 0, -i*v + 3*s = 48. Let z = 13 + v. Solve 0 = z*o - 5*x - 4, 4*o - 2*x - 1 = 3*o for o.\n' | b'1\n' | b'Let i = 5 + 0. Suppose 4*v + 5*s + 19 + 12 = 0, -i*v + 3*s = 48. Let z = 13 + v. Solve 0 = z*o - 5*x - 4, 4*o - 2*x - 1 = 3*o for o.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 6, y: 1, x: 1, v: 3, p: 5, n: 1}. What is prob of sequence xvv?\n' | b'1/680\n' | b'Three letters picked without replacement from {l: 6, y: 1, x: 1, v: 3, p: 5, n: 1}. What is prob of sequence xvv?\n' | b'1/680\n' | deepmind/math_dataset |
b'Let m = -5 + 2. Let s(r) = -16*r**3 - 10*r**2 + 5*r + 26. Suppose -d - 3*d = 8. Let i(b) = -3*b**3 - 2*b**2 + b + 5. Let h(z) = d*s(z) + 11*i(z). Give h(m).\n' | b'9\n' | b'Let m = -5 + 2. Let s(r) = -16*r**3 - 10*r**2 + 5*r + 26. Suppose -d - 3*d = 8. Let i(b) = -3*b**3 - 2*b**2 + b + 5. Let h(z) = d*s(z) + 11*i(z). Give h(m).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose r = 5*s - 20, s + 2*r + 1 = -2*s. Let q(m) = -6*m**3 - m**2 - 2*m - 2. Let x(d) = -3*d**3 - d - 1. Let h(f) = s*q(f) - 5*x(f). Calculate h(-2).\n' | b'13\n' | b'Suppose r = 5*s - 20, s + 2*r + 1 = -2*s. Let q(m) = -6*m**3 - m**2 - 2*m - 2. Let x(d) = -3*d**3 - d - 1. Let h(f) = s*q(f) - 5*x(f). Calculate h(-2).\n' | b'13\n' | deepmind/math_dataset |
b'Calculate prob of sequence xnuu when four letters picked without replacement from {u: 8, x: 1, r: 3, d: 1, h: 2, n: 2}.\n' | b'1/510\n' | b'Calculate prob of sequence xnuu when four letters picked without replacement from {u: 8, x: 1, r: 3, d: 1, h: 2, n: 2}.\n' | b'1/510\n' | deepmind/math_dataset |
b'Let r be 74/14 - (-14)/(-49). Suppose -3*p - 4 = -r*p. Let l be 5 - (4 + (-1 - p)). Solve -l*b - b - 35 = -2*w, b = -5*w + 20 for w.\n' | b'5\n' | b'Let r be 74/14 - (-14)/(-49). Suppose -3*p - 4 = -r*p. Let l be 5 - (4 + (-1 - p)). Solve -l*b - b - 35 = -2*w, b = -5*w + 20 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 2, u: 9, x: 7}. What is prob of picking 2 u and 2 x?\n' | b'21/85\n' | b'Four letters picked without replacement from {o: 2, u: 9, x: 7}. What is prob of picking 2 u and 2 x?\n' | b'21/85\n' | deepmind/math_dataset |
b'Suppose -2*r - 10 + 2 = 0. Let o be 3 + (-2 - (-3 - r)). Let w(f) = -f**3 - f**2 - f + 2. Let v be w(o). Solve 0 = -q + 3, q = -4*n + v*n - 5 for n.\n' | b'-4\n' | b'Suppose -2*r - 10 + 2 = 0. Let o be 3 + (-2 - (-3 - r)). Let w(f) = -f**3 - f**2 - f + 2. Let v be w(o). Solve 0 = -q + 3, q = -4*n + v*n - 5 for n.\n' | b'-4\n' | deepmind/math_dataset |
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