question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
|---|---|---|---|---|
b'Simplify (x*x**(3/4))/(x*x**8)*x/(x/(x*x**6))*x*x*(x*x**(1/6))/x*x*(x**(1/3))**(-31)/(x**(3/7)/((x**(-3)*x)/x)) assuming x is positive.\n' | b'x**(-911/84)\n' | b'Simplify (x*x**(3/4))/(x*x**8)*x/(x/(x*x**6))*x*x*(x*x**(1/6))/x*x*(x**(1/3))**(-31)/(x**(3/7)/((x**(-3)*x)/x)) assuming x is positive.\n' | b'x**(-911/84)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from exxhhexkexceh. Give prob of sequence kxx.\n' | b'1/143\n' | b'Three letters picked without replacement from exxhhexkexceh. Give prob of sequence kxx.\n' | b'1/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 9, k: 1, d: 4}. What is prob of sequence dbbb?\n' | b'12/143\n' | b'Four letters picked without replacement from {b: 9, k: 1, d: 4}. What is prob of sequence dbbb?\n' | b'12/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, o: 2, g: 1, r: 1, s: 1, f: 1}. What is prob of sequence fe?\n' | b'1/42\n' | b'Two letters picked without replacement from {e: 1, o: 2, g: 1, r: 1, s: 1, f: 1}. What is prob of sequence fe?\n' | b'1/42\n' | deepmind/math_dataset |
b'Find the first derivative of 4*g**4 - 97 + 16*g**3 - 39*g + 19*g + 20*g wrt g.\n' | b'16*g**3 + 48*g**2\n' | b'Find the first derivative of 4*g**4 - 97 + 16*g**3 - 39*g + 19*g + 20*g wrt g.\n' | b'16*g**3 + 48*g**2\n' | deepmind/math_dataset |
b'Let s(m) = -7*m - 1. Let l(o) = o. Let d(g) = -5*l(g) - s(g). Suppose 21 = -4*u + 1. What is d(u)?\n' | b'-9\n' | b'Let s(m) = -7*m - 1. Let l(o) = o. Let d(g) = -5*l(g) - s(g). Suppose 21 = -4*u + 1. What is d(u)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let j(u) = 48 - 36 - 50*u + 108 + 69*u. Give j(-6).\n' | b'6\n' | b'Let j(u) = 48 - 36 - 50*u + 108 + 69*u. Give j(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Let w(y) = -3*y**3 + y + 2. Let v be w(-2). Solve 19 = -5*h + 2*q - 3*q, 4*h = -3*q - v for h.\n' | b'-3\n' | b'Let w(y) = -3*y**3 + y + 2. Let v be w(-2). Solve 19 = -5*h + 2*q - 3*q, 4*h = -3*q - v for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c = -16 - -24. Suppose 1 - c = -v. Let h = v + -3. Solve -4*u = -h*m - 12, -m - 4 - 2 = -4*u for u.\n' | b'1\n' | b'Let c = -16 - -24. Suppose 1 - c = -v. Let h = v + -3. Solve -4*u = -h*m - 12, -m - 4 - 2 = -4*u for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let w = -180 - -175. Let n(x) be the second derivative of -x**3 - x**2 + 282*x. Determine n(w).\n' | b'28\n' | b'Let w = -180 - -175. Let n(x) be the second derivative of -x**3 - x**2 + 282*x. Determine n(w).\n' | b'28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, b: 4, a: 2, h: 4, m: 1, i: 7}. Give prob of sequence imo.\n' | b'7/3420\n' | b'Three letters picked without replacement from {o: 2, b: 4, a: 2, h: 4, m: 1, i: 7}. Give prob of sequence imo.\n' | b'7/3420\n' | deepmind/math_dataset |
b'Let l(t) be the third derivative of 0 + 0*t**4 + 0*t - 1/48*t**8 + 0*t**6 + 0*t**7 + 0*t**3 + 1/6*t**5 + 23*t**2. What is the third derivative of l(h) wrt h?\n' | b'-420*h**2\n' | b'Let l(t) be the third derivative of 0 + 0*t**4 + 0*t - 1/48*t**8 + 0*t**6 + 0*t**7 + 0*t**3 + 1/6*t**5 + 23*t**2. What is the third derivative of l(h) wrt h?\n' | b'-420*h**2\n' | deepmind/math_dataset |
b'Suppose 0 = 4*u + 2*h - 96, 5*u - 187 + 60 = h. Suppose 0 = -6*q + q + u. Solve 4*t + 4*m = 36, -6 = -q*t - 4*m + 34 for t.\n' | b'4\n' | b'Suppose 0 = 4*u + 2*h - 96, 5*u - 187 + 60 = h. Suppose 0 = -6*q + q + u. Solve 4*t + 4*m = 36, -6 = -q*t - 4*m + 34 for t.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence jwcw when four letters picked without replacement from {j: 1, b: 2, w: 3, c: 5, s: 6}?\n' | b'1/1904\n' | b'What is prob of sequence jwcw when four letters picked without replacement from {j: 1, b: 2, w: 3, c: 5, s: 6}?\n' | b'1/1904\n' | deepmind/math_dataset |
b'Let c(g) = -11280*g**3 + 4*g**2 + 9*g - 664. Let l(a) = 16920*a**3 - 6*a**2 - 13*a + 996. Let o(b) = 13*c(b) + 9*l(b). Find the third derivative of o(w) wrt w.\n' | b'33840\n' | b'Let c(g) = -11280*g**3 + 4*g**2 + 9*g - 664. Let l(a) = 16920*a**3 - 6*a**2 - 13*a + 996. Let o(b) = 13*c(b) + 9*l(b). Find the third derivative of o(w) wrt w.\n' | b'33840\n' | deepmind/math_dataset |
b'Find the second derivative of -2*d - 6*d + 0*d + 16*d**3 wrt d.\n' | b'96*d\n' | b'Find the second derivative of -2*d - 6*d + 0*d + 16*d**3 wrt d.\n' | b'96*d\n' | deepmind/math_dataset |
b'Let p(b) be the first derivative of 5*b**4/24 + 13*b**3/6 - 7*b**2/2 - 7. Let j(u) be the second derivative of p(u). Differentiate j(f) with respect to f.\n' | b'5\n' | b'Let p(b) be the first derivative of 5*b**4/24 + 13*b**3/6 - 7*b**2/2 - 7. Let j(u) be the second derivative of p(u). Differentiate j(f) with respect to f.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence yu when two letters picked without replacement from {h: 5, w: 1, y: 1, a: 2, u: 1}.\n' | b'1/90\n' | b'Calculate prob of sequence yu when two letters picked without replacement from {h: 5, w: 1, y: 1, a: 2, u: 1}.\n' | b'1/90\n' | deepmind/math_dataset |
b'Let b(n) = -7*n + 1. Suppose -30 - 179 = -40*y + 71. What is b(y)?\n' | b'-48\n' | b'Let b(n) = -7*n + 1. Suppose -30 - 179 = -40*y + 71. What is b(y)?\n' | b'-48\n' | deepmind/math_dataset |
b'Simplify (y**(-14)/(y*y**(-2/93)/y)*(y*y*y**(-19)*y*y)/(y/(y/(y**(-34)/y))))**(-21) assuming y is positive.\n' | b'y**(-3920/31)\n' | b'Simplify (y**(-14)/(y*y**(-2/93)/y)*(y*y*y**(-19)*y*y)/(y/(y/(y**(-34)/y))))**(-21) assuming y is positive.\n' | b'y**(-3920/31)\n' | deepmind/math_dataset |
b'Let v(k) = 5*k**2 + 14*k - 1734. Let g(u) = -10*u**2 - 29*u + 3446. Let t(d) = 4*g(d) + 7*v(d). Differentiate t(n) wrt n.\n' | b'-10*n - 18\n' | b'Let v(k) = 5*k**2 + 14*k - 1734. Let g(u) = -10*u**2 - 29*u + 3446. Let t(d) = 4*g(d) + 7*v(d). Differentiate t(n) wrt n.\n' | b'-10*n - 18\n' | deepmind/math_dataset |
b'Simplify (s/(s*s/s**(-18)))/(s*(((s**(-13)*s)/s)/s)/s)*((s*s**(2/11))/s*s)**14 assuming s is positive.\n' | b's**(127/11)\n' | b'Simplify (s/(s*s/s**(-18)))/(s*(((s**(-13)*s)/s)/s)/s)*((s*s**(2/11))/s*s)**14 assuming s is positive.\n' | b's**(127/11)\n' | deepmind/math_dataset |
b'Let u(i) = -10856*i**3 - 17*i + 5288. Let m(b) = 3619*b**3 + 6*b - 1763. Let l(c) = 17*m(c) + 6*u(c). Differentiate l(k) with respect to k.\n' | b'-10839*k**2\n' | b'Let u(i) = -10856*i**3 - 17*i + 5288. Let m(b) = 3619*b**3 + 6*b - 1763. Let l(c) = 17*m(c) + 6*u(c). Differentiate l(k) with respect to k.\n' | b'-10839*k**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from eeeeee?\n' | b'1\n' | b'What is prob of picking 2 e when two letters picked without replacement from eeeeee?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 5, l: 4, z: 5}. What is prob of sequence uzu?\n' | b'25/546\n' | b'Three letters picked without replacement from {u: 5, l: 4, z: 5}. What is prob of sequence uzu?\n' | b'25/546\n' | deepmind/math_dataset |
b'Let y = 53 - 51. Let c(m) = 1 - 5 + m + 5*m**2 - 9*m**y + 7*m**2. Let q(h) = h**2 - 2. Let x(i) = c(i) - 4*q(i). Calculate x(-3).\n' | b'-8\n' | b'Let y = 53 - 51. Let c(m) = 1 - 5 + m + 5*m**2 - 9*m**y + 7*m**2. Let q(h) = h**2 - 2. Let x(i) = c(i) - 4*q(i). Calculate x(-3).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -5*c + 2*c = -6. Suppose 3*f + 2*f - 10 = 0. Suppose 3*s - c = f*s. Solve 0 = 2*l + 4*y + 4, s*l + 5*y + 4 = 2*y for l.\n' | b'-2\n' | b'Suppose -5*c + 2*c = -6. Suppose 3*f + 2*f - 10 = 0. Suppose 3*s - c = f*s. Solve 0 = 2*l + 4*y + 4, s*l + 5*y + 4 = 2*y for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 e, and 1 j when three letters picked without replacement from mwjpwejex?\n' | b'1/21\n' | b'What is prob of picking 1 m, 1 e, and 1 j when three letters picked without replacement from mwjpwejex?\n' | b'1/21\n' | deepmind/math_dataset |
b'What is the second derivative of 0*g + 6*g + 2 - 18*g**2 + 0*g + 17*g**2 wrt g?\n' | b'-2\n' | b'What is the second derivative of 0*g + 6*g + 2 - 18*g**2 + 0*g + 17*g**2 wrt g?\n' | b'-2\n' | deepmind/math_dataset |
b'Let f(p) = p + 8. Suppose -2*l - 5*t = -3, 4*l + t = 2*t - 27. Let q be f(l). Suppose 8 = -4*j, -5*n + 44 = j - 3*j. Solve b + n = -u, b + q*b = -9 for u.\n' | b'-5\n' | b'Let f(p) = p + 8. Suppose -2*l - 5*t = -3, 4*l + t = 2*t - 27. Let q be f(l). Suppose 8 = -4*j, -5*n + 44 = j - 3*j. Solve b + n = -u, b + q*b = -9 for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (b*b**(2/17))/(b*b**21) assuming b is positive.\n' | b'b**(-355/17)\n' | b'Simplify (b*b**(2/17))/(b*b**21) assuming b is positive.\n' | b'b**(-355/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qcloooqlgcocll. What is prob of sequence qllo?\n' | b'4/1001\n' | b'Four letters picked without replacement from qcloooqlgcocll. What is prob of sequence qllo?\n' | b'4/1001\n' | deepmind/math_dataset |
b'Let u(b) = -11*b**3 - 4*b**2 + 8*b - 15. Let k(g) = 31*g**3 + 11*g**2 - 23*g + 43. Let s(z) = 6*k(z) + 17*u(z). What is s(-3)?\n' | b'18\n' | b'Let u(b) = -11*b**3 - 4*b**2 + 8*b - 15. Let k(g) = 31*g**3 + 11*g**2 - 23*g + 43. Let s(z) = 6*k(z) + 17*u(z). What is s(-3)?\n' | b'18\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, e: 4, v: 9}. Give prob of picking 3 p and 1 e.\n' | b'1/455\n' | b'Four letters picked without replacement from {p: 3, e: 4, v: 9}. Give prob of picking 3 p and 1 e.\n' | b'1/455\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 p when two letters picked without replacement from upiiiggipsggsii.\n' | b'4/105\n' | b'Calculate prob of picking 1 s and 1 p when two letters picked without replacement from upiiiggipsggsii.\n' | b'4/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from moozmzmddmoqldddzdz. Give prob of sequence mol.\n' | b'2/969\n' | b'Three letters picked without replacement from moozmzmddmoqldddzdz. Give prob of sequence mol.\n' | b'2/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccdcdnncn. Give prob of picking 1 d, 1 n, and 1 c.\n' | b'2/7\n' | b'Three letters picked without replacement from ccdcdnncn. Give prob of picking 1 d, 1 n, and 1 c.\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify r*r/(r*r/(r/((r/r**(1/34))/r)))*r/(r/r**(-13)) assuming r is positive.\n' | b'r**(-407/34)\n' | b'Simplify r*r/(r*r/(r/((r/r**(1/34))/r)))*r/(r/r**(-13)) assuming r is positive.\n' | b'r**(-407/34)\n' | deepmind/math_dataset |
b'Let a(w) = w**2 + 1 - 1183*w + 5 + 1177*w. Determine a(4).\n' | b'-2\n' | b'Let a(w) = w**2 + 1 - 1183*w + 5 + 1177*w. Determine a(4).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u**(5/3)/u**4*u*u**3*u*u/(u*u**4))**(3/4) assuming u is positive.\n' | b'1/u\n' | b'Simplify (u**(5/3)/u**4*u*u**3*u*u/(u*u**4))**(3/4) assuming u is positive.\n' | b'1/u\n' | deepmind/math_dataset |
b'What is prob of picking 3 g when three letters picked without replacement from {s: 1, g: 3}?\n' | b'1/4\n' | b'What is prob of picking 3 g when three letters picked without replacement from {s: 1, g: 3}?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let b(d) be the second derivative of 0*d**4 - 3*d**2 + 0 - 2*d - 1/5*d**5 + 0*d**3. What is the derivative of b(w) wrt w?\n' | b'-12*w**2\n' | b'Let b(d) be the second derivative of 0*d**4 - 3*d**2 + 0 - 2*d - 1/5*d**5 + 0*d**3. What is the derivative of b(w) wrt w?\n' | b'-12*w**2\n' | deepmind/math_dataset |
b'Let w = 6 + -3. Suppose w*x + 4*q = 22, 0 = 3*x - 5*q - 1 - 12. Solve 3 = -n + x, 3*u = -3*n for u.\n' | b'-3\n' | b'Let w = 6 + -3. Suppose w*x + 4*q = 22, 0 = 3*x - 5*q - 1 - 12. Solve 3 = -n + x, 3*u = -3*n for u.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence fjzj when four letters picked without replacement from zjjjzjjfjj?\n' | b'1/60\n' | b'What is prob of sequence fjzj when four letters picked without replacement from zjjjzjjfjj?\n' | b'1/60\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eeeeeceieeceeciee. Give prob of sequence icc.\n' | b'1/340\n' | b'Three letters picked without replacement from eeeeeceieeceeciee. Give prob of sequence icc.\n' | b'1/340\n' | deepmind/math_dataset |
b'Let q be (-28)/(-10) - (-3)/15. Let x(g) = -g**2 - g + 3. Let d be x(0). Let m be d/((21/(-4))/(-7)). Solve -m*v - k + 18 = k, 0 = v - k + q for v.\n' | b'2\n' | b'Let q be (-28)/(-10) - (-3)/15. Let x(g) = -g**2 - g + 3. Let d be x(0). Let m be d/((21/(-4))/(-7)). Solve -m*v - k + 18 = k, 0 = v - k + q for v.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, k: 2}. What is prob of picking 1 k and 2 h?\n' | b'1/2\n' | b'Three letters picked without replacement from {h: 2, k: 2}. What is prob of picking 1 k and 2 h?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let u(z) = 4*z - 1. Let a be u(4). Find the third derivative of -a*i**4 + 4*i**6 + 8*i**2 + 15*i**4 wrt i.\n' | b'480*i**3\n' | b'Let u(z) = 4*z - 1. Let a be u(4). Find the third derivative of -a*i**4 + 4*i**6 + 8*i**2 + 15*i**4 wrt i.\n' | b'480*i**3\n' | deepmind/math_dataset |
b'Suppose -4*b + 11 = -9. Suppose -b*i - 9 = 2*m, -2*i + 18 = 3*m - 5*i. What is the first derivative of 2 - m*p + p - 1 wrt p?\n' | b'-2\n' | b'Suppose -4*b + 11 = -9. Suppose -b*i - 9 = 2*m, -2*i + 18 = 3*m - 5*i. What is the first derivative of 2 - m*p + p - 1 wrt p?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from afaowwtgfffota. What is prob of sequence wf?\n' | b'4/91\n' | b'Two letters picked without replacement from afaowwtgfffota. What is prob of sequence wf?\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of sequence lhib when four letters picked without replacement from {h: 1, b: 2, e: 3, l: 5, i: 1, n: 3}?\n' | b'1/3276\n' | b'What is prob of sequence lhib when four letters picked without replacement from {h: 1, b: 2, e: 3, l: 5, i: 1, n: 3}?\n' | b'1/3276\n' | deepmind/math_dataset |
b'Simplify (s/s**(-2/5)*s*s**(-8/5))**(-45) assuming s is positive.\n' | b's**(-36)\n' | b'Simplify (s/s**(-2/5)*s*s**(-8/5))**(-45) assuming s is positive.\n' | b's**(-36)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nqqqnq. What is prob of sequence nqqn?\n' | b'1/15\n' | b'Four letters picked without replacement from nqqqnq. What is prob of sequence nqqn?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 8, l: 2}. Give prob of sequence ddll.\n' | b'1/45\n' | b'Four letters picked without replacement from {d: 8, l: 2}. Give prob of sequence ddll.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let k(l) = -1. Let g(i) = 43*i + 40. Let s(a) = -g(a) + 2*k(a). What is the derivative of s(x) wrt x?\n' | b'-43\n' | b'Let k(l) = -1. Let g(i) = 43*i + 40. Let s(a) = -g(a) + 2*k(a). What is the derivative of s(x) wrt x?\n' | b'-43\n' | deepmind/math_dataset |
b'Let p(r) = 1 - 4 - 67192*r**2 - 3*r + 67184*r**2. Give p(-2).\n' | b'-29\n' | b'Let p(r) = 1 - 4 - 67192*r**2 - 3*r + 67184*r**2. Give p(-2).\n' | b'-29\n' | deepmind/math_dataset |
b'What is prob of sequence tz when two letters picked without replacement from ztqvpvpz?\n' | b'1/28\n' | b'What is prob of sequence tz when two letters picked without replacement from ztqvpvpz?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose 0 = -3*d + 5*d. Let h(g) = 578*g - 2888. Let f be h(5). Let o = 56 + -36. Solve 4*k = -d*z + 2*z + o, k - f*z = 8 for k.\n' | b'4\n' | b'Suppose 0 = -3*d + 5*d. Let h(g) = 578*g - 2888. Let f be h(5). Let o = 56 + -36. Solve 4*k = -d*z + 2*z + o, k - f*z = 8 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, k: 2}.\n' | b'3/10\n' | b'Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, k: 2}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let t(y) be the second derivative of -56*y**3/3 + y**2/2 + 75*y. Differentiate t(p) with respect to p.\n' | b'-112\n' | b'Let t(y) be the second derivative of -56*y**3/3 + y**2/2 + 75*y. Differentiate t(p) with respect to p.\n' | b'-112\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, q: 2}. Give prob of sequence zz.\n' | b'1/6\n' | b'Two letters picked without replacement from {z: 2, q: 2}. Give prob of sequence zz.\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 3 a when four letters picked without replacement from kakkaayykaakakk.\n' | b'4/39\n' | b'Calculate prob of picking 1 k and 3 a when four letters picked without replacement from kakkaayykaakakk.\n' | b'4/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 b and 1 o when four letters picked without replacement from {b: 1, l: 2, o: 1}.\n' | b'0\n' | b'Calculate prob of picking 3 b and 1 o when four letters picked without replacement from {b: 1, l: 2, o: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(s) be the third derivative of -347*s**5/60 + 61*s**4/24 + 4*s**3/3 + 3*s**2 + 4*s. Find the second derivative of a(x) wrt x.\n' | b'-694\n' | b'Let a(s) be the third derivative of -347*s**5/60 + 61*s**4/24 + 4*s**3/3 + 3*s**2 + 4*s. Find the second derivative of a(x) wrt x.\n' | b'-694\n' | deepmind/math_dataset |
b'Let f(t) = -12758*t + 3826. Let b(h) = -8507*h + 2556. Let d(w) = 8*b(w) - 5*f(w). Find the first derivative of d(l) wrt l.\n' | b'-4266\n' | b'Let f(t) = -12758*t + 3826. Let b(h) = -8507*h + 2556. Let d(w) = 8*b(w) - 5*f(w). Find the first derivative of d(l) wrt l.\n' | b'-4266\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 3, z: 6, i: 1, p: 1, u: 6}?\n' | b'3/136\n' | b'What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 3, z: 6, i: 1, p: 1, u: 6}?\n' | b'3/136\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 a when three letters picked without replacement from aavwfavafwvwvvv.\n' | b'4/455\n' | b'Calculate prob of picking 3 a when three letters picked without replacement from aavwfavafwvwvvv.\n' | b'4/455\n' | deepmind/math_dataset |
b'Let g(f) be the second derivative of -f**7/2520 + f**5/20 - 5*f**4/12 - 3*f. Let m(u) be the third derivative of g(u). What is m(0)?\n' | b'6\n' | b'Let g(f) be the second derivative of -f**7/2520 + f**5/20 - 5*f**4/12 - 3*f. Let m(u) be the third derivative of g(u). What is m(0)?\n' | b'6\n' | deepmind/math_dataset |
b'What is the second derivative of -106004*w + 117824*w + 3110*w**3 - 560*w**3 wrt w?\n' | b'15300*w\n' | b'What is the second derivative of -106004*w + 117824*w + 3110*w**3 - 560*w**3 wrt w?\n' | b'15300*w\n' | deepmind/math_dataset |
b'Simplify ((f/(f*f*(f*f*f*f*f/f**(4/7)*f)/f*f*f))/f**(2/3)*(f*f/(f/(f*f**17)))/f**14)**(-43) assuming f is positive.\n' | b'f**(2795/21)\n' | b'Simplify ((f/(f*f*(f*f*f*f*f/f**(4/7)*f)/f*f*f))/f**(2/3)*(f*f/(f/(f*f**17)))/f**14)**(-43) assuming f is positive.\n' | b'f**(2795/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oioooviio. Give prob of picking 3 o.\n' | b'5/42\n' | b'Three letters picked without replacement from oioooviio. Give prob of picking 3 o.\n' | b'5/42\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 5, e: 1, m: 5, i: 1, c: 7, g: 1}. What is prob of picking 1 g, 1 i, and 1 c?\n' | b'7/1140\n' | b'Three letters picked without replacement from {h: 5, e: 1, m: 5, i: 1, c: 7, g: 1}. What is prob of picking 1 g, 1 i, and 1 c?\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let b(k) = 66 + 12*k - 17*k + 164 - 20*k - 12*k. Give b(6).\n' | b'8\n' | b'Let b(k) = 66 + 12*k - 17*k + 164 - 20*k - 12*k. Give b(6).\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nfzzzznnzfffz. Give prob of picking 1 z and 1 f.\n' | b'4/13\n' | b'Two letters picked without replacement from nfzzzznnzfffz. Give prob of picking 1 z and 1 f.\n' | b'4/13\n' | deepmind/math_dataset |
b'Let l(g) = -2*g**3 + 21*g**2 - 28*g + 28. Let d(h) = h**3 - 10*h**2 + 14*h - 15. Let c(x) = 7*d(x) + 4*l(x). Calculate c(13).\n' | b'-6\n' | b'Let l(g) = -2*g**3 + 21*g**2 - 28*g + 28. Let d(h) = h**3 - 10*h**2 + 14*h - 15. Let c(x) = 7*d(x) + 4*l(x). Calculate c(13).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence obb when three letters picked without replacement from {s: 1, p: 4, b: 2, y: 2, o: 3}?\n' | b'1/220\n' | b'What is prob of sequence obb when three letters picked without replacement from {s: 1, p: 4, b: 2, y: 2, o: 3}?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let i(n) = -n**2 + n + 4. Suppose 0 = -6*t + 3*t. Calculate i(t).\n' | b'4\n' | b'Let i(n) = -n**2 + n + 4. Suppose 0 = -6*t + 3*t. Calculate i(t).\n' | b'4\n' | deepmind/math_dataset |
b'Let i = 26 + -30. Let d(h) be the second derivative of -1/12*h**4 + 3/2*h**2 - 1/6*h**3 - 3*h + 0. Determine d(i).\n' | b'-9\n' | b'Let i = 26 + -30. Let d(h) be the second derivative of -1/12*h**4 + 3/2*h**2 - 1/6*h**3 - 3*h + 0. Determine d(i).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose -34*o = 5*n - 30*o - 14, -4*n + o + 28 = 0. Solve 0 = i + y - 3, 2*i = -0*i + 2*y - n for i.\n' | b'0\n' | b'Suppose -34*o = 5*n - 30*o - 14, -4*n + o + 28 = 0. Solve 0 = i + y - 3, 2*i = -0*i + 2*y - n for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (b/((b/(b/b**(-4)))/b*b))/((b**(-12)*b)/b*b)*(b*b**(-2/7))/(b/b**(2/7)) assuming b is positive.\n' | b'b**16\n' | b'Simplify (b/((b/(b/b**(-4)))/b*b))/((b**(-12)*b)/b*b)*(b*b**(-2/7))/(b/b**(2/7)) assuming b is positive.\n' | b'b**16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 5, t: 1, k: 4, p: 3, r: 1, w: 4}. Give prob of sequence kk.\n' | b'2/51\n' | b'Two letters picked without replacement from {i: 5, t: 1, k: 4, p: 3, r: 1, w: 4}. Give prob of sequence kk.\n' | b'2/51\n' | deepmind/math_dataset |
b'Calculate prob of sequence xrx when three letters picked without replacement from {y: 1, x: 3, o: 3, r: 5}.\n' | b'1/44\n' | b'Calculate prob of sequence xrx when three letters picked without replacement from {y: 1, x: 3, o: 3, r: 5}.\n' | b'1/44\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t and 2 g when four letters picked without replacement from {j: 1, a: 2, g: 2, f: 4, b: 1, t: 2}.\n' | b'1/495\n' | b'Calculate prob of picking 2 t and 2 g when four letters picked without replacement from {j: 1, a: 2, g: 2, f: 4, b: 1, t: 2}.\n' | b'1/495\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yffki. Give prob of sequence kf.\n' | b'1/10\n' | b'Two letters picked without replacement from yffki. Give prob of sequence kf.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let r be (0/3)/(-1 + 3). Suppose r = -5*n - 3*v + 26, -5*v = 5*n - 39 + 9. Solve n*x - 5*p = -p + 8, -4*x + 3*p = -11 for x.\n' | b'5\n' | b'Let r be (0/3)/(-1 + 3). Suppose r = -5*n - 3*v + 26, -5*v = 5*n - 39 + 9. Solve n*x - 5*p = -p + 8, -4*x + 3*p = -11 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from chrhhcncrchrhco. Give prob of sequence hhc.\n' | b'10/273\n' | b'Three letters picked without replacement from chrhhcncrchrhco. Give prob of sequence hhc.\n' | b'10/273\n' | deepmind/math_dataset |
b'Let d(u) = -u**2 + 12*u + 8. Let r be d(12). Suppose -4*z + 3*g = -g + r, -4*g + 10 = -3*z. Find the second derivative of -20*m**2 - 1 - z - 6*m + 3 wrt m.\n' | b'-40\n' | b'Let d(u) = -u**2 + 12*u + 8. Let r be d(12). Suppose -4*z + 3*g = -g + r, -4*g + 10 = -3*z. Find the second derivative of -20*m**2 - 1 - z - 6*m + 3 wrt m.\n' | b'-40\n' | deepmind/math_dataset |
b'Let u(p) = -3*p - 30. Let b be u(-10). Suppose -17*x + 34 + 34 = b. Solve q = -3*d - 0 + 11, -x*q = -d + 21 for q.\n' | b'-4\n' | b'Let u(p) = -3*p - 30. Let b be u(-10). Suppose -17*x + 34 + 34 = b. Solve q = -3*d - 0 + 11, -x*q = -d + 21 for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbyby. Give prob of sequence bybb.\n' | b'1/10\n' | b'Four letters picked without replacement from bbyby. Give prob of sequence bybb.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let b be 0/((-3 - -1)/1). Solve b*i - 5*i - r - 15 = 0, -6 = 2*i + 3*r for i.\n' | b'-3\n' | b'Let b be 0/((-3 - -1)/1). Solve b*i - 5*i - r - 15 = 0, -6 = 2*i + 3*r for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrrrrbrar. What is prob of sequence rba?\n' | b'1/72\n' | b'Three letters picked without replacement from rrrrrbrar. What is prob of sequence rba?\n' | b'1/72\n' | deepmind/math_dataset |
b'Let r be -16 + 1 + -140 + 159. Solve 13*k - 10*k + f = -5, -r*k + f - 16 = 0 for k.\n' | b'-3\n' | b'Let r be -16 + 1 + -140 + 159. Solve 13*k - 10*k + f = -5, -r*k + f - 16 = 0 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r be ((-4)/4 - 2)*-3. Solve 4*f = -3*s - r, -s = -5*f + s - 17 for f.\n' | b'-3\n' | b'Let r be ((-4)/4 - 2)*-3. Solve 4*f = -3*s - r, -s = -5*f + s - 17 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of 123*q**4 - 113 + 35*q**4 - q - 308 wrt q.\n' | b'1896*q**2\n' | b'Find the second derivative of 123*q**4 - 113 + 35*q**4 - q - 308 wrt q.\n' | b'1896*q**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vpvaaapasp. What is prob of sequence vav?\n' | b'1/90\n' | b'Three letters picked without replacement from vpvaaapasp. What is prob of sequence vav?\n' | b'1/90\n' | deepmind/math_dataset |
b'What is prob of sequence sjt when three letters picked without replacement from stsftsssfjtftsst?\n' | b'1/96\n' | b'What is prob of sequence sjt when three letters picked without replacement from stsftsssfjtftsst?\n' | b'1/96\n' | deepmind/math_dataset |
b'What is prob of picking 4 b when four letters picked without replacement from {c: 3, b: 7}?\n' | b'1/6\n' | b'What is prob of picking 4 b when four letters picked without replacement from {c: 3, b: 7}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fjkhwllkf. Give prob of sequence wff.\n' | b'1/252\n' | b'Three letters picked without replacement from fjkhwllkf. Give prob of sequence wff.\n' | b'1/252\n' | deepmind/math_dataset |
b'Let r = 93 + -68. What is the derivative of -7*k**2 - 12*k**2 - 5*k**2 - 4*k**2 - r wrt k?\n' | b'-56*k\n' | b'Let r = 93 + -68. What is the derivative of -7*k**2 - 12*k**2 - 5*k**2 - 4*k**2 - r wrt k?\n' | b'-56*k\n' | deepmind/math_dataset |
b'What is prob of sequence xxk when three letters picked without replacement from {k: 1, x: 3}?\n' | b'1/4\n' | b'What is prob of sequence xxk when three letters picked without replacement from {k: 1, x: 3}?\n' | b'1/4\n' | deepmind/math_dataset |
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