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 {x: 6, r: 4, a: 1, p: 4}. What is prob of picking 3 x?\n' | b'4/91\n' | b'Three letters picked without replacement from {x: 6, r: 4, a: 1, p: 4}. What is prob of picking 3 x?\n' | b'4/91\n' | deepmind/math_dataset |
b'Let c(h) be the second derivative of -47/6*h**3 + 0*h**5 + 0 + 0*h**4 + 35*h + 0*h**2 + 13/30*h**6. What is the second derivative of c(w) wrt w?\n' | b'156*w**2\n' | b'Let c(h) be the second derivative of -47/6*h**3 + 0*h**5 + 0 + 0*h**4 + 35*h + 0*h**2 + 13/30*h**6. What is the second derivative of c(w) wrt w?\n' | b'156*w**2\n' | deepmind/math_dataset |
b'Let q(n) = n**3 + 16*n**2 + 28*n + 16. Suppose 18 = -3*j + 41*h - 38*h, -4*j + 3*h = 32. Give q(j).\n' | b'16\n' | b'Let q(n) = n**3 + 16*n**2 + 28*n + 16. Suppose 18 = -3*j + 41*h - 38*h, -4*j + 3*h = 32. Give q(j).\n' | b'16\n' | deepmind/math_dataset |
b'Let i(n) = 2*n**3 - 4*n**2 + n - 1. Let r(y) = -21*y**3 + 32*y**2 - 12*y + 7. Let p(m) = -10*i(m) - r(m). What is p(-7)?\n' | b'38\n' | b'Let i(n) = 2*n**3 - 4*n**2 + n - 1. Let r(y) = -21*y**3 + 32*y**2 - 12*y + 7. Let p(m) = -10*i(m) - r(m). What is p(-7)?\n' | b'38\n' | deepmind/math_dataset |
b'Suppose -1 = 5*j + 3*t - 58, 0 = 5*j + t - 59. Let c be (((-1)/(-4) - -3) + -4)*56/(-14). Solve -c*y + 3*x - 3 = 5*x, 3*x - j = y for y.\n' | b'-3\n' | b'Suppose -1 = 5*j + 3*t - 58, 0 = 5*j + t - 59. Let c be (((-1)/(-4) - -3) + -4)*56/(-14). Solve -c*y + 3*x - 3 = 5*x, 3*x - j = y for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -48*r + 52*r. Let s(n) = -3*n - 2. Calculate s(r).\n' | b'-2\n' | b'Suppose 0 = -48*r + 52*r. Let s(n) = -3*n - 2. Calculate s(r).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (h**(1/5)/h*h**0)**(2/83) assuming h is positive.\n' | b'h**(-8/415)\n' | b'Simplify (h**(1/5)/h*h**0)**(2/83) assuming h is positive.\n' | b'h**(-8/415)\n' | deepmind/math_dataset |
b'Let o be ((-10)/2)/(0 + 1). Let g(k) = k**2 - 4*k + 5. Let n be g(o). Suppose -6 = 4*p - n. Solve -h + p = -5*l, h - 7 = 6*l - 3*l for l.\n' | b'-2\n' | b'Let o be ((-10)/2)/(0 + 1). Let g(k) = k**2 - 4*k + 5. Let n be g(o). Suppose -6 = 4*p - n. Solve -h + p = -5*l, h - 7 = 6*l - 3*l for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p = -35 - -38. Let l(j) = 2*j + p*j**2 - 3*j + 8*j. Let z(y) = -8*y**2 - 20*y. Let f(h) = -17*l(h) - 6*z(h). What is f(1)?\n' | b'-2\n' | b'Let p = -35 - -38. Let l(j) = 2*j + p*j**2 - 3*j + 8*j. Let z(y) = -8*y**2 - 20*y. Let f(h) = -17*l(h) - 6*z(h). What is f(1)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let n(b) = -b - 2. Let y = -114 + 109. Give n(y).\n' | b'3\n' | b'Let n(b) = -b - 2. Let y = -114 + 109. Give n(y).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ufn when three letters picked without replacement from {n: 1, o: 2, c: 2, u: 3, d: 4, f: 3}?\n' | b'3/910\n' | b'What is prob of sequence ufn when three letters picked without replacement from {n: 1, o: 2, c: 2, u: 3, d: 4, f: 3}?\n' | b'3/910\n' | deepmind/math_dataset |
b'Suppose -2*a + 71 = -29. Find the second derivative of 41*b - 12*b + 33*b**4 - 16*b + a*b wrt b.\n' | b'396*b**2\n' | b'Suppose -2*a + 71 = -29. Find the second derivative of 41*b - 12*b + 33*b**4 - 16*b + a*b wrt b.\n' | b'396*b**2\n' | deepmind/math_dataset |
b'Simplify ((b/((b**0*b)/b))**17/(b**7/(b**(3/7)*b)))**(4/5) assuming b is positive.\n' | b'b**(64/7)\n' | b'Simplify ((b/((b**0*b)/b))**17/(b**7/(b**(3/7)*b)))**(4/5) assuming b is positive.\n' | b'b**(64/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 n when two letters picked without replacement from mnmnmxmammnammmmnmm.\n' | b'8/171\n' | b'Calculate prob of picking 1 a and 1 n when two letters picked without replacement from mnmnmxmammnammmmnmm.\n' | b'8/171\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 3 f when four letters picked without replacement from {s: 2, f: 8}.\n' | b'8/15\n' | b'Calculate prob of picking 1 s and 3 f when four letters picked without replacement from {s: 2, f: 8}.\n' | b'8/15\n' | deepmind/math_dataset |
b'Suppose 0 = -466*l + 610*l + 720. Let y(c) = c**2 + 6*c + 8. What is y(l)?\n' | b'3\n' | b'Suppose 0 = -466*l + 610*l + 720. Let y(c) = c**2 + 6*c + 8. What is y(l)?\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from huyregrhu. What is prob of picking 1 e, 2 u, and 1 g?\n' | b'1/126\n' | b'Four letters picked without replacement from huyregrhu. What is prob of picking 1 e, 2 u, and 1 g?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let s(z) be the second derivative of -42*z**5/5 + z**3/6 - 21*z**2/2 + 2*z + 1. What is the first derivative of s(r) wrt r?\n' | b'-504*r**2 + 1\n' | b'Let s(z) be the second derivative of -42*z**5/5 + z**3/6 - 21*z**2/2 + 2*z + 1. What is the first derivative of s(r) wrt r?\n' | b'-504*r**2 + 1\n' | deepmind/math_dataset |
b'Let c(z) = -3*z - 7. Let r be c(-3). Let b be (-45)/(-30) + 2/4 - r. Let y(o) = -o**3 - 2*o**2 - 4. Determine y(b).\n' | b'-4\n' | b'Let c(z) = -3*z - 7. Let r be c(-3). Let b be (-45)/(-30) + 2/4 - r. Let y(o) = -o**3 - 2*o**2 - 4. Determine y(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (x**(-7/4)*x)/(x/(x/x**(-10))) assuming x is positive.\n' | b'x**(37/4)\n' | b'Simplify (x**(-7/4)*x)/(x/(x/x**(-10))) assuming x is positive.\n' | b'x**(37/4)\n' | deepmind/math_dataset |
b'Let c(j) = j + 8. Let r = 1175 - 1182. Determine c(r).\n' | b'1\n' | b'Let c(j) = j + 8. Let r = 1175 - 1182. Determine c(r).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bkbbbbkbbbbkkbbkkbb. What is prob of picking 1 b and 1 k?\n' | b'26/57\n' | b'Two letters picked without replacement from bkbbbbkbbbbkkbbkkbb. What is prob of picking 1 b and 1 k?\n' | b'26/57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from giiikkigkk. What is prob of sequence gkg?\n' | b'1/90\n' | b'Three letters picked without replacement from giiikkigkk. What is prob of sequence gkg?\n' | b'1/90\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, b: 1, a: 1, z: 5, k: 1}. Give prob of picking 1 z, 1 t, and 1 a.\n' | b'5/84\n' | b'Three letters picked without replacement from {t: 1, b: 1, a: 1, z: 5, k: 1}. Give prob of picking 1 z, 1 t, and 1 a.\n' | b'5/84\n' | deepmind/math_dataset |
b'Let a(n) = -16*n**2 - 71*n - 90. Let x(d) = 3*d**2 + 14*d + 18. Let b(p) = -2*a(p) - 11*x(p). Let q be b(-10). Solve 4*f = q*u, -6*u - 2*f - 10 = -2*u for u.\n' | b'-2\n' | b'Let a(n) = -16*n**2 - 71*n - 90. Let x(d) = 3*d**2 + 14*d + 18. Let b(p) = -2*a(p) - 11*x(p). Let q be b(-10). Solve 4*f = q*u, -6*u - 2*f - 10 = -2*u for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((g/g**7)/g*g*g**(-2/5))/(g**(-6)/g**(-6)))/(g**(1/4)/g**(-2/5)*g/(g/(g/(g**(-1)/g)))*g/g**3*g*g) assuming g is positive.\n' | b'g**(-201/20)\n' | b'Simplify (((g/g**7)/g*g*g**(-2/5))/(g**(-6)/g**(-6)))/(g**(1/4)/g**(-2/5)*g/(g/(g/(g**(-1)/g)))*g/g**3*g*g) assuming g is positive.\n' | b'g**(-201/20)\n' | deepmind/math_dataset |
b'Simplify (q**3*q/(q**6*q))**(-23) assuming q is positive.\n' | b'q**69\n' | b'Simplify (q**3*q/(q**6*q))**(-23) assuming q is positive.\n' | b'q**69\n' | deepmind/math_dataset |
b'Let z(b) = -3*b**2 + 10*b - 5. Let v = -159 + 161. Let w be z(v). Solve -6 = 4*q + 2*d, 9 + 0 = w*d for q.\n' | b'-3\n' | b'Let z(b) = -3*b**2 + 10*b - 5. Let v = -159 + 161. Let w be z(v). Solve -6 = 4*q + 2*d, 9 + 0 = w*d for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddlldnillllhlld. Give prob of sequence ddl.\n' | b'16/455\n' | b'Three letters picked without replacement from ddlldnillllhlld. Give prob of sequence ddl.\n' | b'16/455\n' | deepmind/math_dataset |
b'Let h = 134 + -64. Let p = h - 24. What is the second derivative of -p*y + 40*y + 3 - 2*y**4 - 3 wrt y?\n' | b'-24*y**2\n' | b'Let h = 134 + -64. Let p = h - 24. What is the second derivative of -p*y + 40*y + 3 - 2*y**4 - 3 wrt y?\n' | b'-24*y**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eewdyeicydci. Give prob of sequence we.\n' | b'1/44\n' | b'Two letters picked without replacement from eewdyeicydci. Give prob of sequence we.\n' | b'1/44\n' | deepmind/math_dataset |
b'Simplify ((j/((j/(j**(-1)/j))/j))**(-26))**(-1/2) assuming j is positive.\n' | b'j**(-13)\n' | b'Simplify ((j/((j/(j**(-1)/j))/j))**(-26))**(-1/2) assuming j is positive.\n' | b'j**(-13)\n' | deepmind/math_dataset |
b'Let h = 6 - 3. What is the first derivative of 2*r**3 - 2*r**3 - h + 3*r**3 + 0 wrt r?\n' | b'9*r**2\n' | b'Let h = 6 - 3. What is the first derivative of 2*r**3 - 2*r**3 - h + 3*r**3 + 0 wrt r?\n' | b'9*r**2\n' | deepmind/math_dataset |
b'Let g be ((-22)/6)/((-2)/72). Let b = 139 - g. Solve -2*x = -q + b, 0 = 4*x - 0*x + 12 for q.\n' | b'1\n' | b'Let g be ((-22)/6)/((-2)/72). Let b = 139 - g. Solve -2*x = -q + b, 0 = 4*x - 0*x + 12 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 4, a: 1, u: 2, h: 1, c: 3}. Give prob of picking 2 c and 1 u.\n' | b'2/55\n' | b'Three letters picked without replacement from {g: 4, a: 1, u: 2, h: 1, c: 3}. Give prob of picking 2 c and 1 u.\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify (b/b**(-2/5))**(-28)/(b**1)**48 assuming b is positive.\n' | b'b**(-436/5)\n' | b'Simplify (b/b**(-2/5))**(-28)/(b**1)**48 assuming b is positive.\n' | b'b**(-436/5)\n' | deepmind/math_dataset |
b'Let h = -33 + 39. Suppose v - 28 = -4*o, -58 = -5*v - o + h. Solve -j + 9 = -3*j - 5*q, -4*q = 4*j + v for j.\n' | b'-2\n' | b'Let h = -33 + 39. Suppose v - 28 = -4*o, -58 = -5*v - o + h. Solve -j + 9 = -3*j - 5*q, -4*q = 4*j + v for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(t) be the second derivative of t**5/20 - t**4/12 - t**3/6 + 3*t**2/2 + 2*t. Let h be x(0). Let u = h + 7. Solve -3*c + 1 = 2*r + u, 3*r = 5*c + 34 for c.\n' | b'-5\n' | b'Let x(t) be the second derivative of t**5/20 - t**4/12 - t**3/6 + 3*t**2/2 + 2*t. Let h be x(0). Let u = h + 7. Solve -3*c + 1 = 2*r + u, 3*r = 5*c + 34 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 3*i - 6 - 0. Let y(v) = 5*v**2 + 2*v + 1. Let u be y(2). Let x(t) = u*t - i - 26*t + 1. What is x(-3)?\n' | b'2\n' | b'Suppose 0 = 3*i - 6 - 0. Let y(v) = 5*v**2 + 2*v + 1. Let u be y(2). Let x(t) = u*t - i - 26*t + 1. What is x(-3)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -40 = -4*p - 3*n, -4*p + 5*n + 14 = 6. Suppose -4*x + 10 = j, 2*j - 6*j + 4*x = 0. What is the derivative of -3*s**4 + 18*s**j - 18*s**2 - p wrt s?\n' | b'-12*s**3\n' | b'Suppose -40 = -4*p - 3*n, -4*p + 5*n + 14 = 6. Suppose -4*x + 10 = j, 2*j - 6*j + 4*x = 0. What is the derivative of -3*s**4 + 18*s**j - 18*s**2 - p wrt s?\n' | b'-12*s**3\n' | deepmind/math_dataset |
b'Let z be 2/2*-1*1. Let u be (-4)/(((-3)/(-6))/z). What is the third derivative of 0*y**6 + u*y**2 - 9*y**2 + y**6 wrt y?\n' | b'120*y**3\n' | b'Let z be 2/2*-1*1. Let u be (-4)/(((-3)/(-6))/z). What is the third derivative of 0*y**6 + u*y**2 - 9*y**2 + y**6 wrt y?\n' | b'120*y**3\n' | deepmind/math_dataset |
b'Let r(t) = -t**3 + 27*t**2 - 49*t - 21. Let p be r(25). Let d(s) = 26*s - 104. Let y be d(p). Solve y = 4*o - 2*q, -2*o + 1 = -4*q - 5 for o.\n' | b'-1\n' | b'Let r(t) = -t**3 + 27*t**2 - 49*t - 21. Let p be r(25). Let d(s) = 26*s - 104. Let y be d(p). Solve y = 4*o - 2*q, -2*o + 1 = -4*q - 5 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 d when two letters picked without replacement from mdhda?\n' | b'1/5\n' | b'What is prob of picking 1 a and 1 d when two letters picked without replacement from mdhda?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -5*f + 5 = 5*g, 0 = 3*g - 3 - 12. Let d be (-4)/f + 4*1. Solve m + 4*m = t + 15, d*t + 15 = 5*m for t.\n' | b'0\n' | b'Suppose -5*f + 5 = 5*g, 0 = 3*g - 3 - 12. Let d be (-4)/f + 4*1. Solve m + 4*m = t + 15, d*t + 15 = 5*m for t.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -5*x = 4*b - 79, 2*b - 13 = -11. Let c = -21 + 29. Suppose 3*j + 2*o - 4 = 0, c*o - 4*o = 3*j - 10. Solve 2*i + 5*k + x = 0, -i - 4*i + j*k = -35 for i.\n' | b'5\n' | b'Suppose -5*x = 4*b - 79, 2*b - 13 = -11. Let c = -21 + 29. Suppose 3*j + 2*o - 4 = 0, c*o - 4*o = 3*j - 10. Solve 2*i + 5*k + x = 0, -i - 4*i + j*k = -35 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ozzzbhzzvohizzbhz. Give prob of picking 1 z, 1 h, and 1 o.\n' | b'6/85\n' | b'Three letters picked without replacement from ozzzbhzzvohizzbhz. Give prob of picking 1 z, 1 h, and 1 o.\n' | b'6/85\n' | deepmind/math_dataset |
b'Simplify ((i**(2/3)/i)/i**1)/((i/(i*i**(2/3)/i))/i)**48*(i*i**(-3))/i**(-6)*(i/i**(2/5)*i)**42 assuming i is positive.\n' | b'i**(1528/15)\n' | b'Simplify ((i**(2/3)/i)/i**1)/((i/(i*i**(2/3)/i))/i)**48*(i*i**(-3))/i**(-6)*(i/i**(2/5)*i)**42 assuming i is positive.\n' | b'i**(1528/15)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, j: 1, n: 2, h: 1, q: 2}. What is prob of picking 1 h and 1 j?\n' | b'1/28\n' | b'Two letters picked without replacement from {p: 2, j: 1, n: 2, h: 1, q: 2}. What is prob of picking 1 h and 1 j?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let f(x) = 2*x**2 - 186*x + 374. Let h(q) = q**2 - 93*q + 187. Let g(c) = -3*f(c) + 5*h(c). What is the derivative of g(t) wrt t?\n' | b'-2*t + 93\n' | b'Let f(x) = 2*x**2 - 186*x + 374. Let h(q) = q**2 - 93*q + 187. Let g(c) = -3*f(c) + 5*h(c). What is the derivative of g(t) wrt t?\n' | b'-2*t + 93\n' | deepmind/math_dataset |
b'Let y = 0 + -1. Let n be (-2 - y)*-2 + 4. Let z be (-9)/n*8/(-6). Solve 7 = a + 4*i, i + 1 = -z*a - a for a.\n' | b'-1\n' | b'Let y = 0 + -1. Let n be (-2 - y)*-2 + 4. Let z be (-9)/n*8/(-6). Solve 7 = a + 4*i, i + 1 = -z*a - a for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c be 6/8*(-48)/(-18). Find the second derivative of 4*h**2 - 15949*h + 15726*h + 5*h**3 + c*h**2 wrt h.\n' | b'30*h + 12\n' | b'Let c be 6/8*(-48)/(-18). Find the second derivative of 4*h**2 - 15949*h + 15726*h + 5*h**3 + c*h**2 wrt h.\n' | b'30*h + 12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, a: 1, e: 1, x: 1, j: 1}. What is prob of sequence evva?\n' | b'1/140\n' | b'Four letters picked without replacement from {v: 3, a: 1, e: 1, x: 1, j: 1}. What is prob of sequence evva?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let d(v) be the first derivative of v**5/24 + 2*v**4/3 + 26*v**3/3 - 30. Let t(l) be the third derivative of d(l). What is the derivative of t(a) wrt a?\n' | b'5\n' | b'Let d(v) be the first derivative of v**5/24 + 2*v**4/3 + 26*v**3/3 - 30. Let t(l) be the third derivative of d(l). What is the derivative of t(a) wrt a?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((t/t**1)**(1/11))**(-2/31)/(t**0/(((t/(((t/t**1*t)/t)/t*t))/t*t)/t)*(t**(1/2))**(-6/5)) assuming t is positive.\n' | b't**(3/5)\n' | b'Simplify ((t/t**1)**(1/11))**(-2/31)/(t**0/(((t/(((t/t**1*t)/t)/t*t))/t*t)/t)*(t**(1/2))**(-6/5)) assuming t is positive.\n' | b't**(3/5)\n' | deepmind/math_dataset |
b'Let b(l) = -9*l + 17. Suppose -u = 1 - 4. Suppose -4*k + 15 = u. Let d(s) = -46*s + 84. Let z(r) = k*d(r) - 14*b(r). Differentiate z(q) with respect to q.\n' | b'-12\n' | b'Let b(l) = -9*l + 17. Suppose -u = 1 - 4. Suppose -4*k + 15 = u. Let d(s) = -46*s + 84. Let z(r) = k*d(r) - 14*b(r). Differentiate z(q) with respect to q.\n' | b'-12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, q: 1, d: 1, z: 1, r: 1, v: 1}. What is prob of picking 1 x, 1 d, and 1 r?\n' | b'2/35\n' | b'Three letters picked without replacement from {x: 2, q: 1, d: 1, z: 1, r: 1, v: 1}. What is prob of picking 1 x, 1 d, and 1 r?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let f(h) = -h**3 - h**2 - h. Let o(l) = 3*l**3 - l**2 - 6*l. Let q(m) = 6*f(m) - o(m). What is the third derivative of q(b) wrt b?\n' | b'-54\n' | b'Let f(h) = -h**3 - h**2 - h. Let o(l) = 3*l**3 - l**2 - 6*l. Let q(m) = 6*f(m) - o(m). What is the third derivative of q(b) wrt b?\n' | b'-54\n' | deepmind/math_dataset |
b'Suppose -2*f = -6*f + 4*h + 4, f = 3*h - 3. Let n(q) = q**2 - 2*q - 3. Calculate n(f).\n' | b'0\n' | b'Suppose -2*f = -6*f + 4*h + 4, f = 3*h - 3. Let n(q) = q**2 - 2*q - 3. Calculate n(f).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sssjssssssjjjjss. What is prob of sequence ss?\n' | b'11/24\n' | b'Two letters picked without replacement from sssjssssssjjjjss. What is prob of sequence ss?\n' | b'11/24\n' | deepmind/math_dataset |
b'Let n(a) be the second derivative of a**5/4 + a**4/12 + 6*a. Find the third derivative of n(o) wrt o.\n' | b'30\n' | b'Let n(a) be the second derivative of a**5/4 + a**4/12 + 6*a. Find the third derivative of n(o) wrt o.\n' | b'30\n' | deepmind/math_dataset |
b'Let y(z) = z - 10. Let x be y(10). Suppose g + 0*g = -x*g. Suppose -16*o + 11*o + 10 = g. Solve -2*p = 5*r - o*r - 6, 4*r = 4*p + 8 for p.\n' | b'0\n' | b'Let y(z) = z - 10. Let x be y(10). Suppose g + 0*g = -x*g. Suppose -16*o + 11*o + 10 = g. Solve -2*p = 5*r - o*r - 6, 4*r = 4*p + 8 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify l**(-8)/(l/(l**2/l))*(l*l/(l/((l*l**(-4/7)*l)/l))*l)/(l**8*l) assuming l is positive.\n' | b'l**(-102/7)\n' | b'Simplify l**(-8)/(l/(l**2/l))*(l*l/(l/((l*l**(-4/7)*l)/l))*l)/(l**8*l) assuming l is positive.\n' | b'l**(-102/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ym when two letters picked without replacement from {h: 1, d: 1, l: 1, m: 1, y: 2, k: 1}.\n' | b'1/21\n' | b'Calculate prob of sequence ym when two letters picked without replacement from {h: 1, d: 1, l: 1, m: 1, y: 2, k: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, g: 12}. What is prob of picking 3 w?\n' | b'1/455\n' | b'Three letters picked without replacement from {w: 3, g: 12}. What is prob of picking 3 w?\n' | b'1/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccooooosoojoossj. Give prob of picking 1 c and 2 j.\n' | b'1/280\n' | b'Three letters picked without replacement from ccooooosoojoossj. Give prob of picking 1 c and 2 j.\n' | b'1/280\n' | deepmind/math_dataset |
b'What is prob of sequence kr when two letters picked without replacement from {r: 1, f: 2, k: 2}?\n' | b'1/10\n' | b'What is prob of sequence kr when two letters picked without replacement from {r: 1, f: 2, k: 2}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let v(t) = 0*t**2 + 3*t**2 - 2*t**2 - 22*t + 6*t + 17*t - 17. Calculate v(0).\n' | b'-17\n' | b'Let v(t) = 0*t**2 + 3*t**2 - 2*t**2 - 22*t + 6*t + 17*t - 17. Calculate v(0).\n' | b'-17\n' | deepmind/math_dataset |
b'Let h(d) = -17*d**3 - 40*d**2 - 4. Let o(p) = -34*p**3 - 81*p**2 - 7. Let s(j) = 7*h(j) - 4*o(j). Find the third derivative of s(c) wrt c.\n' | b'102\n' | b'Let h(d) = -17*d**3 - 40*d**2 - 4. Let o(p) = -34*p**3 - 81*p**2 - 7. Let s(j) = 7*h(j) - 4*o(j). Find the third derivative of s(c) wrt c.\n' | b'102\n' | deepmind/math_dataset |
b'Let a be 1*(-66)/(-156)*2 + (-6)/(-39). Solve 3*j = -l + 4*j - a, -22 = 2*l + 3*j for l.\n' | b'-5\n' | b'Let a be 1*(-66)/(-156)*2 + (-6)/(-39). Solve 3*j = -l + 4*j - a, -22 = 2*l + 3*j for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vjfyjjyvvvfvvfjyvvz. What is prob of sequence jyf?\n' | b'2/323\n' | b'Three letters picked without replacement from vjfyjjyvvvfvvfjyvvz. What is prob of sequence jyf?\n' | b'2/323\n' | deepmind/math_dataset |
b'Let s(f) be the third derivative of 5/24*f**4 + 2*f + 0 - 178*f**2 - 3/2*f**3. Give s(2).\n' | b'1\n' | b'Let s(f) be the third derivative of 5/24*f**4 + 2*f + 0 - 178*f**2 - 3/2*f**3. Give s(2).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (l**0)**(22/9)*(l/(l**(-2/7)*l))/(l*l**(2/19)/l) assuming l is positive.\n' | b'l**(24/133)\n' | b'Simplify (l**0)**(22/9)*(l/(l**(-2/7)*l))/(l*l**(2/19)/l) assuming l is positive.\n' | b'l**(24/133)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 4, o: 1, u: 4, d: 10}. Give prob of picking 2 u and 1 g.\n' | b'8/323\n' | b'Three letters picked without replacement from {g: 4, o: 1, u: 4, d: 10}. Give prob of picking 2 u and 1 g.\n' | b'8/323\n' | deepmind/math_dataset |
b'Let k be 3 + -2 - 1*-1. Find the third derivative of -z**2 - 3*z**k - 3*z**5 + z**2 wrt z.\n' | b'-180*z**2\n' | b'Let k be 3 + -2 - 1*-1. Find the third derivative of -z**2 - 3*z**k - 3*z**5 + z**2 wrt z.\n' | b'-180*z**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from frgfaxxss. What is prob of sequence xsr?\n' | b'1/126\n' | b'Three letters picked without replacement from frgfaxxss. What is prob of sequence xsr?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let o be (-26)/(-6) + (-1)/3. Find the second derivative of -p + 7*p**4 - o*p - p + p wrt p.\n' | b'84*p**2\n' | b'Let o be (-26)/(-6) + (-1)/3. Find the second derivative of -p + 7*p**4 - o*p - p + p wrt p.\n' | b'84*p**2\n' | deepmind/math_dataset |
b'Suppose 3*d + 667 - 676 = 0. Solve 3*m + 5*a + 22 = 0, a = m + 5 - d for m.\n' | b'-4\n' | b'Suppose 3*d + 667 - 676 = 0. Solve 3*m + 5*a + 22 = 0, a = m + 5 - d for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(w) be the first derivative of -w**4/24 - 2*w**3/3 + 15*w**2/2 + 47. Let u(o) be the second derivative of r(o). Give u(4).\n' | b'-8\n' | b'Let r(w) be the first derivative of -w**4/24 - 2*w**3/3 + 15*w**2/2 + 47. Let u(o) be the second derivative of r(o). Give u(4).\n' | b'-8\n' | deepmind/math_dataset |
b'Let i = 15 + 18. Let p = i - 29. Let n be (-69)/(-12) - (-1)/p. Solve u - 3*s = 0, 5*s - 11 = -n*u + 4*u for u.\n' | b'3\n' | b'Let i = 15 + 18. Let p = i - 29. Let n be (-69)/(-12) - (-1)/p. Solve u - 3*s = 0, 5*s - 11 = -n*u + 4*u for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let r(b) be the first derivative of -721*b**6/3 - 3*b**5/5 + 1636*b**2 + b + 3903. What is the second derivative of r(c) wrt c?\n' | b'-28840*c**3 - 36*c**2\n' | b'Let r(b) be the first derivative of -721*b**6/3 - 3*b**5/5 + 1636*b**2 + b + 3903. What is the second derivative of r(c) wrt c?\n' | b'-28840*c**3 - 36*c**2\n' | deepmind/math_dataset |
b'What is prob of sequence ya when two letters picked without replacement from {y: 1, v: 3, c: 6, g: 5, l: 4, a: 1}?\n' | b'1/380\n' | b'What is prob of sequence ya when two letters picked without replacement from {y: 1, v: 3, c: 6, g: 5, l: 4, a: 1}?\n' | b'1/380\n' | deepmind/math_dataset |
b'What is prob of sequence ummy when four letters picked without replacement from {u: 3, m: 11, y: 4}?\n' | b'11/612\n' | b'What is prob of sequence ummy when four letters picked without replacement from {u: 3, m: 11, y: 4}?\n' | b'11/612\n' | deepmind/math_dataset |
b'Let f be -3 - (-275)/(0 + 5). Let k = f + -44. What is the third derivative of 6*p**6 - k*p**6 + 0*p**2 + 18*p**6 + 14*p**2 wrt p?\n' | b'1920*p**3\n' | b'Let f be -3 - (-275)/(0 + 5). Let k = f + -44. What is the third derivative of 6*p**6 - k*p**6 + 0*p**2 + 18*p**6 + 14*p**2 wrt p?\n' | b'1920*p**3\n' | deepmind/math_dataset |
b'Simplify ((((g*g**(2/15))**45)**0)**28)**(-2/11) assuming g is positive.\n' | b'1\n' | b'Simplify ((((g*g**(2/15))**45)**0)**28)**(-2/11) assuming g is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((t**(-5)/(t*t**0)*t/t**(-4)*t*t**(-2/7)*t*t*t)**33)**(-8) assuming t is positive.\n' | b't**(-5016/7)\n' | b'Simplify ((t**(-5)/(t*t**0)*t/t**(-4)*t*t**(-2/7)*t*t*t)**33)**(-8) assuming t is positive.\n' | b't**(-5016/7)\n' | deepmind/math_dataset |
b'Let c(u) be the first derivative of 13*u + 6 - 5*u**5 - u**5 + 0 - 65. Differentiate c(t) wrt t.\n' | b'-120*t**3\n' | b'Let c(u) be the first derivative of 13*u + 6 - 5*u**5 - u**5 + 0 - 65. Differentiate c(t) wrt t.\n' | b'-120*t**3\n' | deepmind/math_dataset |
b'What is prob of sequence ts when two letters picked without replacement from {e: 2, d: 2, t: 1, s: 1, q: 1}?\n' | b'1/42\n' | b'What is prob of sequence ts when two letters picked without replacement from {e: 2, d: 2, t: 1, s: 1, q: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from ggxggxggwwww?\n' | b'1/11\n' | b'What is prob of sequence ww when two letters picked without replacement from ggxggxggwwww?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let v = 13 - -24. Let k = v + -32. Find the third derivative of -a**4 + 2*a**4 - 8*a**4 - 7*a**4 - k*a**2 wrt a.\n' | b'-336*a\n' | b'Let v = 13 - -24. Let k = v + -32. Find the third derivative of -a**4 + 2*a**4 - 8*a**4 - 7*a**4 - k*a**2 wrt a.\n' | b'-336*a\n' | deepmind/math_dataset |
b'Let u(x) = x - 12. Let w be u(9). Let j = w - -5. Find the third derivative of 0*y**2 - 2*y**j + 0*y**2 - 2*y**6 wrt y.\n' | b'-240*y**3\n' | b'Let u(x) = x - 12. Let w be u(9). Let j = w - -5. Find the third derivative of 0*y**2 - 2*y**j + 0*y**2 - 2*y**6 wrt y.\n' | b'-240*y**3\n' | deepmind/math_dataset |
b'Let j(i) be the first derivative of 4*i**5/5 - 17*i - 8. Differentiate j(v) with respect to v.\n' | b'16*v**3\n' | b'Let j(i) be the first derivative of 4*i**5/5 - 17*i - 8. Differentiate j(v) with respect to v.\n' | b'16*v**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence rr when two letters picked without replacement from {m: 6, r: 2, d: 5}.\n' | b'1/78\n' | b'Calculate prob of sequence rr when two letters picked without replacement from {m: 6, r: 2, d: 5}.\n' | b'1/78\n' | deepmind/math_dataset |
b'Let m(w) = 11 - 3*w**2 + 9 - 2*w**2 + w**3 - 8*w**2 - 25*w. Let k be m(15). Let y = k - 92. Solve x - 5*j + 3 = -2, -y*j + 3 = -2*x for x.\n' | b'0\n' | b'Let m(w) = 11 - 3*w**2 + 9 - 2*w**2 + w**3 - 8*w**2 - 25*w. Let k be m(15). Let y = k - 92. Solve x - 5*j + 3 = -2, -y*j + 3 = -2*x for x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((((x/((x*x**(-7)*x)/x*x))/x**(-6))**21)**9)**(-33) assuming x is positive.\n' | b'x**(-74844)\n' | b'Simplify ((((x/((x*x**(-7)*x)/x*x))/x**(-6))**21)**9)**(-33) assuming x is positive.\n' | b'x**(-74844)\n' | deepmind/math_dataset |
b'Calculate prob of sequence uf when two letters picked without replacement from jjvvvfuvmvjvjvv.\n' | b'1/210\n' | b'Calculate prob of sequence uf when two letters picked without replacement from jjvvvfuvmvjvjvv.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let i be 0 + (-66)/(-3) - 2. What is the third derivative of -i*u**4 - 16*u**4 + 37*u**4 - 13*u**2 wrt u?\n' | b'24*u\n' | b'Let i be 0 + (-66)/(-3) - 2. What is the third derivative of -i*u**4 - 16*u**4 + 37*u**4 - 13*u**2 wrt u?\n' | b'24*u\n' | deepmind/math_dataset |
b'Let o(r) = 2*r**2 - r - 1. Let h(j) = -4*j**2 + 26*j + 190. Let z(k) = -h(k) - o(k). Find the first derivative of z(c) wrt c.\n' | b'4*c - 25\n' | b'Let o(r) = 2*r**2 - r - 1. Let h(j) = -4*j**2 + 26*j + 190. Let z(k) = -h(k) - o(k). Find the first derivative of z(c) wrt c.\n' | b'4*c - 25\n' | deepmind/math_dataset |
b'Suppose 8*r - 27 = 5*r - 3*j, 0 = 4*r + 2*j - 40. Suppose 2*c + 5*n = r + 14, 0 = -c - 3*n + 14. Solve c*a + 5*x + 30 = 0, -2 = a - x - 2*x for a.\n' | b'-5\n' | b'Suppose 8*r - 27 = 5*r - 3*j, 0 = 4*r + 2*j - 40. Suppose 2*c + 5*n = r + 14, 0 = -c - 3*n + 14. Solve c*a + 5*x + 30 = 0, -2 = a - x - 2*x for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((u**6*u)/u**3)/((u**(2/7)/u)/u)**(-49))**(-49) assuming u is positive.\n' | b'u**3920\n' | b'Simplify (((u**6*u)/u**3)/((u**(2/7)/u)/u)**(-49))**(-49) assuming u is positive.\n' | b'u**3920\n' | deepmind/math_dataset |
b'What is prob of sequence vi when two letters picked without replacement from {m: 4, v: 7, i: 5}?\n' | b'7/48\n' | b'What is prob of sequence vi when two letters picked without replacement from {m: 4, v: 7, i: 5}?\n' | b'7/48\n' | deepmind/math_dataset |
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