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'What is prob of picking 1 z and 1 b when two letters picked without replacement from bbbbbbbbzbzbzbbzbbb?\n' | b'20/57\n' | b'What is prob of picking 1 z and 1 b when two letters picked without replacement from bbbbbbbbzbzbzbbzbbb?\n' | b'20/57\n' | deepmind/math_dataset |
b'Suppose -4*j + 3*t - 5 = -17, -3*j = 4*t + 16. Suppose 0*z - x - 3 = -z, 3*x - 6 = j. Find the third derivative of 6*m**6 - 2*m**6 + z*m**2 + 0*m**6 wrt m.\n' | b'480*m**3\n' | b'Suppose -4*j + 3*t - 5 = -17, -3*j = 4*t + 16. Suppose 0*z - x - 3 = -z, 3*x - 6 = j. Find the third derivative of 6*m**6 - 2*m**6 + z*m**2 + 0*m**6 wrt m.\n' | b'480*m**3\n' | deepmind/math_dataset |
b'Let a(v) = -v**2 + 4*v + 1. Let j = 35 + -31. Give a(j).\n' | b'1\n' | b'Let a(v) = -v**2 + 4*v + 1. Let j = 35 + -31. Give a(j).\n' | b'1\n' | deepmind/math_dataset |
b'Let f be 1 - ((-24)/3)/(-2). Let v(d) = -2*d**2 + d - 1. Let k(t) = 5*t**2 - t + 1. Let h(n) = f*k(n) - 7*v(n). Let l be (-6)/(-5)*5/(-2). Give h(l).\n' | b'7\n' | b'Let f be 1 - ((-24)/3)/(-2). Let v(d) = -2*d**2 + d - 1. Let k(t) = 5*t**2 - t + 1. Let h(n) = f*k(n) - 7*v(n). Let l be (-6)/(-5)*5/(-2). Give h(l).\n' | b'7\n' | deepmind/math_dataset |
b'Let n be (1*5)/(370/2664). Find the first derivative of 99*b - 158 - n*b + 19*b + 43*b - 58 wrt b.\n' | b'125\n' | b'Let n be (1*5)/(370/2664). Find the first derivative of 99*b - 158 - n*b + 19*b + 43*b - 58 wrt b.\n' | b'125\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 6, w: 3, a: 1, u: 4, t: 1, b: 3}. What is prob of sequence auk?\n' | b'1/204\n' | b'Three letters picked without replacement from {k: 6, w: 3, a: 1, u: 4, t: 1, b: 3}. What is prob of sequence auk?\n' | b'1/204\n' | deepmind/math_dataset |
b'Let d = -19054 + 19059. Solve d*n = 5*p, -2*p = 12*n - 9*n for n.\n' | b'0\n' | b'Let d = -19054 + 19059. Solve d*n = 5*p, -2*p = 12*n - 9*n for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let j(t) = t**2 - 7*t - 6. Let h be j(8). Solve y - 15 = -h*y, z - 28 = -5*y for z.\n' | b'3\n' | b'Let j(t) = t**2 - 7*t - 6. Let h be j(8). Solve y - 15 = -h*y, z - 28 = -5*y for z.\n' | b'3\n' | deepmind/math_dataset |
b'Let s(c) = -4*c**2 - 10*c - 8. Let u be s(-1). Let v be ((-1)/2)/((-9)/(-72)). Let y be (v - -3)*(-5 - 2 - u). Solve 4*q = -k + 9 + 3, -5*q = y*k - 15 for k.\n' | b'0\n' | b'Let s(c) = -4*c**2 - 10*c - 8. Let u be s(-1). Let v be ((-1)/2)/((-9)/(-72)). Let y be (v - -3)*(-5 - 2 - u). Solve 4*q = -k + 9 + 3, -5*q = y*k - 15 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pnppnppnnppppp. What is prob of sequence pp?\n' | b'45/91\n' | b'Two letters picked without replacement from pnppnppnnppppp. What is prob of sequence pp?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let z(f) be the second derivative of 0 + 7/6*f**3 + f - 7/12*f**4 + 0*f**2. What is the second derivative of z(p) wrt p?\n' | b'-14\n' | b'Let z(f) be the second derivative of 0 + 7/6*f**3 + f - 7/12*f**4 + 0*f**2. What is the second derivative of z(p) wrt p?\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of picking 2 h and 1 c when three letters picked without replacement from jeejjcccjjjjjjehjjcj?\n' | b'0\n' | b'What is prob of picking 2 h and 1 c when three letters picked without replacement from jeejjcccjjjjjjehjjcj?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?\n' | b'1\n' | b'Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 8*d - 2*m = 4*d + 2, -5*d + 3*m = 0. Suppose 6*f - w - 6 = 2*f, -4*w = -8. Differentiate g**3 + 54*g**f - 54*g**2 + d with respect to g.\n' | b'3*g**2\n' | b'Suppose 8*d - 2*m = 4*d + 2, -5*d + 3*m = 0. Suppose 6*f - w - 6 = 2*f, -4*w = -8. Differentiate g**3 + 54*g**f - 54*g**2 + d with respect to g.\n' | b'3*g**2\n' | deepmind/math_dataset |
b'Simplify ((q*q**2/q)**(5/8)*q**(-2/17)/(q/q**(-12)))**18 assuming q is positive.\n' | b'q**(-7263/34)\n' | b'Simplify ((q*q**2/q)**(5/8)*q**(-2/17)/(q/q**(-12)))**18 assuming q is positive.\n' | b'q**(-7263/34)\n' | deepmind/math_dataset |
b'Simplify ((k*k/((k*k/k**(-6)*k*k)/k)*k/((k/(k/(k*k**(-6))*k))/k))**21)**11 assuming k is positive.\n' | b'k**231\n' | b'Simplify ((k*k/((k*k/k**(-6)*k*k)/k)*k/((k/(k/(k*k**(-6))*k))/k))**21)**11 assuming k is positive.\n' | b'k**231\n' | deepmind/math_dataset |
b'Let t(d) be the third derivative of -d**4/24 + 4*d**2. Calculate t(1).\n' | b'-1\n' | b'Let t(d) be the third derivative of -d**4/24 + 4*d**2. Calculate t(1).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 5, f: 2, r: 7, i: 2, e: 2}. Give prob of sequence eir.\n' | b'7/1224\n' | b'Three letters picked without replacement from {a: 5, f: 2, r: 7, i: 2, e: 2}. Give prob of sequence eir.\n' | b'7/1224\n' | deepmind/math_dataset |
b'Let n(i) = -i**3 + i**2 + i + 1. Let j(a) = 21*a**3 - 15*a**2 - 15*a - 12. Let v(c) = 3*j(c) + 45*n(c). Differentiate v(g) with respect to g.\n' | b'54*g**2\n' | b'Let n(i) = -i**3 + i**2 + i + 1. Let j(a) = 21*a**3 - 15*a**2 - 15*a - 12. Let v(c) = 3*j(c) + 45*n(c). Differentiate v(g) with respect to g.\n' | b'54*g**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 6, s: 1, n: 4, c: 4, y: 5}. What is prob of sequence nc?\n' | b'4/95\n' | b'Two letters picked without replacement from {u: 6, s: 1, n: 4, c: 4, y: 5}. What is prob of sequence nc?\n' | b'4/95\n' | deepmind/math_dataset |
b'Simplify (l*l/(l*l**(2/5)*l)*l*l)**(13/4)*l**0/(l/(l/(((l/((l/(l**(-2/17)/l)*l)/l))/l)/l*l)*l)) assuming l is positive.\n' | b'l**(707/85)\n' | b'Simplify (l*l/(l*l**(2/5)*l)*l*l)**(13/4)*l**0/(l/(l/(((l/((l/(l**(-2/17)/l)*l)/l))/l)/l*l)*l)) assuming l is positive.\n' | b'l**(707/85)\n' | deepmind/math_dataset |
b'Let u(g) = -2*g**2 - 34*g - 31. Let j = -11779 + 11763. Give u(j).\n' | b'1\n' | b'Let u(g) = -2*g**2 - 34*g - 31. Let j = -11779 + 11763. Give u(j).\n' | b'1\n' | deepmind/math_dataset |
b'Let h(y) = y**3 + y**2. Let k(a) = 7*a**3 + a**2 - 1. Let s(n) = 6*h(n) - k(n). Let t be (-2)/(-10) - (-528)/110. Give s(t).\n' | b'1\n' | b'Let h(y) = y**3 + y**2. Let k(a) = 7*a**3 + a**2 - 1. Let s(n) = 6*h(n) - k(n). Let t be (-2)/(-10) - (-528)/110. Give s(t).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 1 j when three letters picked without replacement from jccccxccccxcxxcjcxxx?\n' | b'7/190\n' | b'What is prob of picking 2 x and 1 j when three letters picked without replacement from jccccxccccxcxxcjcxxx?\n' | b'7/190\n' | deepmind/math_dataset |
b'What is prob of sequence aac when three letters picked without replacement from {c: 5, a: 9}?\n' | b'15/91\n' | b'What is prob of sequence aac when three letters picked without replacement from {c: 5, a: 9}?\n' | b'15/91\n' | deepmind/math_dataset |
b'Suppose 19*n = -2*n - 42. Let h(k) be the third derivative of -k**5/60 + k**4/24 - 3*k**2. What is h(n)?\n' | b'-6\n' | b'Suppose 19*n = -2*n - 42. Let h(k) be the third derivative of -k**5/60 + k**4/24 - 3*k**2. What is h(n)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let k = 9 + -5. Suppose 5*b + 3*f = 17, -3*b + 6*b + 9 = 3*f. Let g be b/4 + 120/32. Solve -l - l + g*x - 2 = 0, 3*l = -k*x - 23 for l.\n' | b'-5\n' | b'Let k = 9 + -5. Suppose 5*b + 3*f = 17, -3*b + 6*b + 9 = 3*f. Let g be b/4 + 120/32. Solve -l - l + g*x - 2 = 0, 3*l = -k*x - 23 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(n) = -6*n + 7. Let b(s) = -13*s + 28. Let v(j) = -6*b(j) + 15*o(j). Determine v(-6).\n' | b'9\n' | b'Let o(n) = -6*n + 7. Let b(s) = -13*s + 28. Let v(j) = -6*b(j) + 15*o(j). Determine v(-6).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 8*m = m + 14. Solve 0 = -m*s - 4*b + 3 + 7, s - 5 = 5*b for s.\n' | b'5\n' | b'Suppose 8*m = m + 14. Solve 0 = -m*s - 4*b + 3 + 7, s - 5 = 5*b for s.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeehekkeemke. Give prob of sequence ek.\n' | b'7/44\n' | b'Two letters picked without replacement from eeehekkeemke. Give prob of sequence ek.\n' | b'7/44\n' | deepmind/math_dataset |
b'Suppose 2*w - w - 4 = 0. Suppose 5*s - 28 = -4*d + 3*s, 4*d - 16 = 4*s. What is the third derivative of 2*a**2 - 5*a**w - d*a**2 + 7*a**4 wrt a?\n' | b'48*a\n' | b'Suppose 2*w - w - 4 = 0. Suppose 5*s - 28 = -4*d + 3*s, 4*d - 16 = 4*s. What is the third derivative of 2*a**2 - 5*a**w - d*a**2 + 7*a**4 wrt a?\n' | b'48*a\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddzzzudzzzuz. What is prob of sequence ddz?\n' | b'7/220\n' | b'Three letters picked without replacement from ddzzzudzzzuz. What is prob of sequence ddz?\n' | b'7/220\n' | deepmind/math_dataset |
b'Let i(b) be the second derivative of -b**3/3 + 5*b**2/2 - 4*b. Let r(j) = j + 5. Let q(z) = z - 7. Let c be q(7). Let v be r(c). What is i(v)?\n' | b'-5\n' | b'Let i(b) be the second derivative of -b**3/3 + 5*b**2/2 - 4*b. Let r(j) = j + 5. Let q(z) = z - 7. Let c be q(7). Let v be r(c). What is i(v)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((v**(-1/4))**(3/4))**(-2/9)/((v/(v*(v/(v/(v/(v**(-1)*v))))/v*v*v)*v*v)**(-27))**(-29) assuming v is positive.\n' | b'v**(1/24)\n' | b'Simplify ((v**(-1/4))**(3/4))**(-2/9)/((v/(v*(v/(v/(v/(v**(-1)*v))))/v*v*v)*v*v)**(-27))**(-29) assuming v is positive.\n' | b'v**(1/24)\n' | deepmind/math_dataset |
b'Let g be (-140)/(-6) + ((-530)/30)/53. Solve 3*p + 11 - g = 0, -3*x + 3*p - 6 = 0 for x.\n' | b'2\n' | b'Let g be (-140)/(-6) + ((-530)/30)/53. Solve 3*p + 11 - g = 0, -3*x + 3*p - 6 = 0 for x.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 g and 1 m when four letters picked without replacement from {g: 4, m: 1, a: 10, q: 4}?\n' | b'1/969\n' | b'What is prob of picking 3 g and 1 m when four letters picked without replacement from {g: 4, m: 1, a: 10, q: 4}?\n' | b'1/969\n' | deepmind/math_dataset |
b'Let q(x) = -4*x**3 - 3*x**2 - 3*x - 2. Let v be q(-1). What is the third derivative of v*f**2 + 2*f**2 - 12*f**2 - 10*f**2 + 15*f**5 wrt f?\n' | b'900*f**2\n' | b'Let q(x) = -4*x**3 - 3*x**2 - 3*x - 2. Let v be q(-1). What is the third derivative of v*f**2 + 2*f**2 - 12*f**2 - 10*f**2 + 15*f**5 wrt f?\n' | b'900*f**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, r: 1, c: 3}. What is prob of picking 1 v and 2 c?\n' | b'9/35\n' | b'Three letters picked without replacement from {v: 3, r: 1, c: 3}. What is prob of picking 1 v and 2 c?\n' | b'9/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from immimomimmmioii. What is prob of sequence mmm?\n' | b'1/13\n' | b'Three letters picked without replacement from immimomimmmioii. What is prob of sequence mmm?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify b**(3/5)*b*b**(1/3)*b*b*b*b*b**18/b*b**(1/12) assuming b is positive.\n' | b'b**(1381/60)\n' | b'Simplify b**(3/5)*b*b**(1/3)*b*b*b*b*b**18/b*b**(1/12) assuming b is positive.\n' | b'b**(1381/60)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jiij when four letters picked without replacement from iijjjjjsjjisijjjiji.\n' | b'275/7752\n' | b'Calculate prob of sequence jiij when four letters picked without replacement from iijjjjjsjjisijjjiji.\n' | b'275/7752\n' | deepmind/math_dataset |
b'Simplify (o/(o**(-2/5)*o))**(1/56)/(o/(o*o*o**(1/10)*o))**(-1/2) assuming o is positive.\n' | b'o**(-73/70)\n' | b'Simplify (o/(o**(-2/5)*o))**(1/56)/(o/(o*o*o**(1/10)*o))**(-1/2) assuming o is positive.\n' | b'o**(-73/70)\n' | deepmind/math_dataset |
b'Let j(b) = b**3 - 12*b**2 + 19*b + 10. Let c = 19957 - 19947. Give j(c).\n' | b'0\n' | b'Let j(b) = b**3 - 12*b**2 + 19*b + 10. Let c = 19957 - 19947. Give j(c).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*x - 10 + 28 = 0. Let a = x + -24. Let h(p) = -p + 1. Let f(t) = 6*t - 4. Let m(c) = a*h(c) - 3*f(c). Calculate m(-3).\n' | b'6\n' | b'Suppose -2*x - 10 + 28 = 0. Let a = x + -24. Let h(p) = -p + 1. Let f(t) = 6*t - 4. Let m(c) = a*h(c) - 3*f(c). Calculate m(-3).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from rauuq.\n' | b'0\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from rauuq.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 7, u: 2, n: 1, j: 4, p: 3}. Give prob of sequence pnj.\n' | b'1/340\n' | b'Three letters picked without replacement from {q: 7, u: 2, n: 1, j: 4, p: 3}. Give prob of sequence pnj.\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from kakfkkaakfffatf?\n' | b'2/91\n' | b'What is prob of picking 3 k when three letters picked without replacement from kakfkkaakfffatf?\n' | b'2/91\n' | deepmind/math_dataset |
b'Suppose 2667*d - 2654*d = 0. Solve 5*c - 4*v - 1 = d, v = -2*c - 0*c + 3 for c.\n' | b'1\n' | b'Suppose 2667*d - 2654*d = 0. Solve 5*c - 4*v - 1 = d, v = -2*c - 0*c + 3 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 146 = 38*l - 93 + 49. Solve l*r - 2*c + 3*c = 24, -2*c = 3*r - 13 for r.\n' | b'5\n' | b'Suppose 146 = 38*l - 93 + 49. Solve l*r - 2*c + 3*c = 24, -2*c = 3*r - 13 for r.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 5, t: 5}.\n' | b'1/66\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 5, t: 5}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let d = 26 - 19. Let b(m) = 9 - 9 - 17 + 9*m - m**2 + 11. Calculate b(d).\n' | b'8\n' | b'Let d = 26 - 19. Let b(m) = 9 - 9 - 17 + 9*m - m**2 + 11. Calculate b(d).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of sequence ssss when four letters picked without replacement from {s: 7, d: 1}.\n' | b'1/2\n' | b'Calculate prob of sequence ssss when four letters picked without replacement from {s: 7, d: 1}.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let t(z) be the first derivative of -3/5*z**5 + 0*z - z**3 + 0*z**4 + 4 + 0*z**2. What is the third derivative of t(v) wrt v?\n' | b'-72*v\n' | b'Let t(z) be the first derivative of -3/5*z**5 + 0*z - z**3 + 0*z**4 + 4 + 0*z**2. What is the third derivative of t(v) wrt v?\n' | b'-72*v\n' | deepmind/math_dataset |
b'Let o = 29 + -15. Let v be (-21)/(-6)*16/o. Let j be (10/25)/(1/40). Solve -2*z + 4*c = 24, v*c - 6*c + j = -2*z for z.\n' | b'-4\n' | b'Let o = 29 + -15. Let v be (-21)/(-6)*16/o. Let j be (10/25)/(1/40). Solve -2*z + 4*c = 24, v*c - 6*c + j = -2*z for z.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 2 j when three letters picked without replacement from jjjahaaa?\n' | b'3/56\n' | b'What is prob of picking 1 h and 2 j when three letters picked without replacement from jjjahaaa?\n' | b'3/56\n' | deepmind/math_dataset |
b'Let i = -19 - -28. Let l be (17 - 17)/(-3)*(1 - 0). Solve 0 = -2*n - l - 8, u - i = 2*n for u.\n' | b'1\n' | b'Let i = -19 - -28. Let l be (17 - 17)/(-3)*(1 - 0). Solve 0 = -2*n - l - 8, u - i = 2*n for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let j be 3/6*-2*0. Suppose -4*w = -h - h, j = 5*h - 4*w. Suppose h*n = n. Solve n = -2*p - 2*v + 10, 4 = 3*v + v for p.\n' | b'4\n' | b'Let j be 3/6*-2*0. Suppose -4*w = -h - h, j = 5*h - 4*w. Suppose h*n = n. Solve n = -2*p - 2*v + 10, 4 = 3*v + v for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let t(n) = -n + 6. Suppose 0 = -2*i - 2, 4*c + 3*i = 13. Suppose 0 = -6*f + 3*f + 21. Suppose -f*u + 6*u = -c. Determine t(u).\n' | b'2\n' | b'Let t(n) = -n + 6. Suppose 0 = -2*i - 2, 4*c + 3*i = 13. Suppose 0 = -6*f + 3*f + 21. Suppose -f*u + 6*u = -c. Determine t(u).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 3 c when four letters picked without replacement from xwwwwwxwwwdwwccwxwdc?\n' | b'4/1615\n' | b'What is prob of picking 1 w and 3 c when four letters picked without replacement from xwwwwwxwwwdwwccwxwdc?\n' | b'4/1615\n' | deepmind/math_dataset |
b'Let d(l) be the third derivative of 0*l**4 + 0 + 15*l**2 + 0*l**6 + 0*l**5 - 23/6*l**3 + 2/15*l**7 - 2*l. What is the first derivative of d(k) wrt k?\n' | b'112*k**3\n' | b'Let d(l) be the third derivative of 0*l**4 + 0 + 15*l**2 + 0*l**6 + 0*l**5 - 23/6*l**3 + 2/15*l**7 - 2*l. What is the first derivative of d(k) wrt k?\n' | b'112*k**3\n' | deepmind/math_dataset |
b'Let g(t) = -43*t - 1097. Let q be g(-26). Let h(l) be the first derivative of -5/3*l**3 - q + 0*l + 0*l**2 + 15/4*l**4. Find the third derivative of h(b) wrt b.\n' | b'90\n' | b'Let g(t) = -43*t - 1097. Let q be g(-26). Let h(l) be the first derivative of -5/3*l**3 - q + 0*l + 0*l**2 + 15/4*l**4. Find the third derivative of h(b) wrt b.\n' | b'90\n' | deepmind/math_dataset |
b'Simplify (y/(y/(y*y/y**(-4/5)*y))*y*y**(-6/5))**(8/5)*((y/((y**(1/8)/y)/y))/(y/y**7))**(1/8) assuming y is positive.\n' | b'y**(10991/1600)\n' | b'Simplify (y/(y/(y*y/y**(-4/5)*y))*y*y**(-6/5))**(8/5)*((y/((y**(1/8)/y)/y))/(y/y**7))**(1/8) assuming y is positive.\n' | b'y**(10991/1600)\n' | deepmind/math_dataset |
b'Simplify (((f*f*f*f**(2/3))/f)/f)**(-40)/(f/f**(5/3))**4 assuming f is positive.\n' | b'f**(-64)\n' | b'Simplify (((f*f*f*f**(2/3))/f)/f)**(-40)/(f/f**(5/3))**4 assuming f is positive.\n' | b'f**(-64)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 2, b: 3, u: 2, m: 1, l: 4}. Give prob of picking 1 m and 2 b.\n' | b'3/220\n' | b'Three letters picked without replacement from {j: 2, b: 3, u: 2, m: 1, l: 4}. Give prob of picking 1 m and 2 b.\n' | b'3/220\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 5}. What is prob of sequence ddd?\n' | b'1\n' | b'Three letters picked without replacement from {d: 5}. What is prob of sequence ddd?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 5, o: 1, z: 1, p: 2, v: 3, h: 1}. What is prob of picking 1 o and 1 h?\n' | b'1/78\n' | b'Two letters picked without replacement from {q: 5, o: 1, z: 1, p: 2, v: 3, h: 1}. What is prob of picking 1 o and 1 h?\n' | b'1/78\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 s, and 1 e when three letters picked without replacement from {s: 1, h: 6, e: 8, y: 1, m: 4}.\n' | b'8/285\n' | b'Calculate prob of picking 1 m, 1 s, and 1 e when three letters picked without replacement from {s: 1, h: 6, e: 8, y: 1, m: 4}.\n' | b'8/285\n' | deepmind/math_dataset |
b'Let v(p) = -7*p + 8. Let c(h) = 7*h - 10. Suppose -26 = 7*n + 9. Let o(q) = n*v(q) - 6*c(q). What is the derivative of o(g) wrt g?\n' | b'-7\n' | b'Let v(p) = -7*p + 8. Let c(h) = 7*h - 10. Suppose -26 = 7*n + 9. Let o(q) = n*v(q) - 6*c(q). What is the derivative of o(g) wrt g?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tjj. Give prob of picking 2 j.\n' | b'1/3\n' | b'Two letters picked without replacement from tjj. Give prob of picking 2 j.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let v(d) = -2 - 5*d + 13 + 2 + 2*d. Let t(f) = f. Let x(c) = -5*t(c) - v(c). Let p be x(-8). Solve 2*j + p*h = -2*j - 28, 0 = 3*j - h + 8 for j.\n' | b'-4\n' | b'Let v(d) = -2 - 5*d + 13 + 2 + 2*d. Let t(f) = f. Let x(c) = -5*t(c) - v(c). Let p be x(-8). Solve 2*j + p*h = -2*j - 28, 0 = 3*j - h + 8 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (l**1*l)**(-40)/(l**(2/7)*l/l**(-2/3))*(l*(l/(l**(-1/2)/l))/l*l**(-1/5))/(l**(-2/7)/((l/l**(-1))/l)) assuming l is positive.\n' | b'l**(-2351/30)\n' | b'Simplify (l**1*l)**(-40)/(l**(2/7)*l/l**(-2/3))*(l*(l/(l**(-1/2)/l))/l*l**(-1/5))/(l**(-2/7)/((l/l**(-1))/l)) assuming l is positive.\n' | b'l**(-2351/30)\n' | deepmind/math_dataset |
b'Let m = -5 - -7. Suppose 2*n - 2 = x - 7, 2 = m*n. Solve -4*d + 5 = -5*q, -d - 5*q + 2 - x = 0 for d.\n' | b'0\n' | b'Let m = -5 - -7. Suppose 2*n - 2 = x - 7, 2 = m*n. Solve -4*d + 5 = -5*q, -d - 5*q + 2 - x = 0 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (b/b**4*b*b/(b/(b/((b*b/(b**3*b*b)*b)/b)))*b*b)/((b**(-2/7)*b)/b)**(2/23) assuming b is positive.\n' | b'b**(648/161)\n' | b'Simplify (b/b**4*b*b/(b/(b/((b*b/(b**3*b*b)*b)/b)))*b*b)/((b**(-2/7)*b)/b)**(2/23) assuming b is positive.\n' | b'b**(648/161)\n' | deepmind/math_dataset |
b'Let t be (52 - 43) + 1 + -5. Solve 5*b = -t*k + 10, 0 = 3*k + b + 3*b - 10 for k.\n' | b'-2\n' | b'Let t be (52 - 43) + 1 + -5. Solve 5*b = -t*k + 10, 0 = 3*k + b + 3*b - 10 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -11*h = -2*h + 45. Let n(q) = -3*q - 9. Calculate n(h).\n' | b'6\n' | b'Suppose -11*h = -2*h + 45. Let n(q) = -3*q - 9. Calculate n(h).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (k**(1/2)/(k/(k**(2/65)*k)))**(3/31) assuming k is positive.\n' | b'k**(207/4030)\n' | b'Simplify (k**(1/2)/(k/(k**(2/65)*k)))**(3/31) assuming k is positive.\n' | b'k**(207/4030)\n' | deepmind/math_dataset |
b'Simplify w*w*(w**(2/7)*w*w*w)/w*w**(-4)*(w*w*w**(2/3)*w*w)**(-8)*(w**(-1))**(1/12)*w**(5/4)/w*w**(-2)/w assuming w is positive.\n' | b'w**(-1675/42)\n' | b'Simplify w*w*(w**(2/7)*w*w*w)/w*w**(-4)*(w*w*w**(2/3)*w*w)**(-8)*(w**(-1))**(1/12)*w**(5/4)/w*w**(-2)/w assuming w is positive.\n' | b'w**(-1675/42)\n' | deepmind/math_dataset |
b'Suppose -10 + 0 = -5*n. Let h = -278 - -280. Solve y = w + n, -4*y + 0 = -2*w - h for y.\n' | b'-1\n' | b'Suppose -10 + 0 = -5*n. Let h = -278 - -280. Solve y = w + n, -4*y + 0 = -2*w - h for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(l) = 9*l**2 - l. Let h be x(1). Suppose -5*u = -3*o + 2 + 4, 4*o = 2*u + h. Solve 3*d = -5*a + 12, o*d - 8 = -a - 0*a for a.\n' | b'0\n' | b'Let x(l) = 9*l**2 - l. Let h be x(1). Suppose -5*u = -3*o + 2 + 4, 4*o = 2*u + h. Solve 3*d = -5*a + 12, o*d - 8 = -a - 0*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence wwwa when four letters picked without replacement from {a: 12, w: 6}?\n' | b'1/51\n' | b'What is prob of sequence wwwa when four letters picked without replacement from {a: 12, w: 6}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let r be 5 - 10 - (0 + -5). Solve -w + r = 3*o + 7, -2*o - 3*w = 14 for o.\n' | b'-1\n' | b'Let r be 5 - 10 - (0 + -5). Solve -w + r = 3*o + 7, -2*o - 3*w = 14 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxcwxcxcxcccnwcjcx. What is prob of sequence nw?\n' | b'1/153\n' | b'Two letters picked without replacement from cxcwxcxcxcccnwcjcx. What is prob of sequence nw?\n' | b'1/153\n' | deepmind/math_dataset |
b'Calculate prob of sequence zvv when three letters picked without replacement from vvvzvzvzvvvvvzzvzv.\n' | b'11/68\n' | b'Calculate prob of sequence zvv when three letters picked without replacement from vvvzvzvzvvvvvzzvzv.\n' | b'11/68\n' | deepmind/math_dataset |
b'Simplify x/(x/x**(1/31)*x*x)*x*x*(x/(x/(x*x*x**17/x*x)))/x assuming x is positive.\n' | b'x**(559/31)\n' | b'Simplify x/(x/x**(1/31)*x*x)*x*x*(x/(x/(x*x*x**17/x*x)))/x assuming x is positive.\n' | b'x**(559/31)\n' | deepmind/math_dataset |
b'Let b(d) be the second derivative of -d**4/4 - 11*d**3/6 - 5*d**2/2 - 6*d - 18. Give b(-3).\n' | b'1\n' | b'Let b(d) be the second derivative of -d**4/4 - 11*d**3/6 - 5*d**2/2 - 6*d - 18. Give b(-3).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, z: 2, s: 10, x: 1, e: 1, u: 1}. Give prob of picking 1 x and 1 z.\n' | b'1/95\n' | b'Two letters picked without replacement from {d: 5, z: 2, s: 10, x: 1, e: 1, u: 1}. Give prob of picking 1 x and 1 z.\n' | b'1/95\n' | deepmind/math_dataset |
b'Let p(k) = -2483*k**4 + 2*k**3 + 6*k**2 - 5185*k + 6. Let d(o) = -o**3 - 3*o**2 - 3. Let n(f) = -2*d(f) - p(f). Find the second derivative of n(g) wrt g.\n' | b'29796*g**2\n' | b'Let p(k) = -2483*k**4 + 2*k**3 + 6*k**2 - 5185*k + 6. Let d(o) = -o**3 - 3*o**2 - 3. Let n(f) = -2*d(f) - p(f). Find the second derivative of n(g) wrt g.\n' | b'29796*g**2\n' | deepmind/math_dataset |
b'Simplify (a*a**(-1/30)*a)/(a/((a*a**(11/2)/a)/a)*a)*a*a**(2/11)*a*a*a**(-2/13) assuming a is positive.\n' | b'a**(16076/2145)\n' | b'Simplify (a*a**(-1/30)*a)/(a/((a*a**(11/2)/a)/a)*a)*a*a**(2/11)*a*a*a**(-2/13) assuming a is positive.\n' | b'a**(16076/2145)\n' | deepmind/math_dataset |
b'Let g(f) = -3*f**2 + 26*f + 53. Let m be g(10). Suppose 106 - 93 = m*n. Solve -2*s - 26 = -4*y, y - s = -n + 9 for y.\n' | b'5\n' | b'Let g(f) = -3*f**2 + 26*f + 53. Let m be g(10). Suppose 106 - 93 = m*n. Solve -2*s - 26 = -4*y, y - s = -n + 9 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(f) be the third derivative of -f**6/60 - f**5/30 + f**4/24 + f**3/3 - 17*f**2. Let x(o) = -2*o**2 - 15*o + 6. Let j be x(-8). What is a(j)?\n' | b'8\n' | b'Let a(f) be the third derivative of -f**6/60 - f**5/30 + f**4/24 + f**3/3 - 17*f**2. Let x(o) = -2*o**2 - 15*o + 6. Let j be x(-8). What is a(j)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -5*h - 15 = 10. Let r be (-2)/(-1) + 6 + h. Let q(w) = 6*w - r + 1 - 7*w. Give q(4).\n' | b'-6\n' | b'Suppose -5*h - 15 = 10. Let r be (-2)/(-1) + 6 + h. Let q(w) = 6*w - r + 1 - 7*w. Give q(4).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence vjm when three letters picked without replacement from vjsjmssss.\n' | b'1/252\n' | b'Calculate prob of sequence vjm when three letters picked without replacement from vjsjmssss.\n' | b'1/252\n' | deepmind/math_dataset |
b'Let f = -13 + 15. Let c(k) = 1 - f*k - 1 + 0. Let n be c(-2). Let m(r) = 2*r - 6. Calculate m(n).\n' | b'2\n' | b'Let f = -13 + 15. Let c(k) = 1 - f*k - 1 + 0. Let n be c(-2). Let m(r) = 2*r - 6. Calculate m(n).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence ir when two letters picked without replacement from riokvvv?\n' | b'1/42\n' | b'What is prob of sequence ir when two letters picked without replacement from riokvvv?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is the third derivative of -5*w**2 + 3 - 2 - 23*w**3 - 1 wrt w?\n' | b'-138\n' | b'What is the third derivative of -5*w**2 + 3 - 2 - 23*w**3 - 1 wrt w?\n' | b'-138\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, v: 7, k: 4}. What is prob of sequence kvk?\n' | b'7/143\n' | b'Three letters picked without replacement from {m: 2, v: 7, k: 4}. What is prob of sequence kvk?\n' | b'7/143\n' | deepmind/math_dataset |
b'Let s(i) be the first derivative of -9 - 34*i**6 + 0*i**5 + 3*i + 0*i**4 - 68/3*i**3 + 0*i**2. Find the third derivative of s(j) wrt j.\n' | b'-12240*j**2\n' | b'Let s(i) be the first derivative of -9 - 34*i**6 + 0*i**5 + 3*i + 0*i**4 - 68/3*i**3 + 0*i**2. Find the third derivative of s(j) wrt j.\n' | b'-12240*j**2\n' | deepmind/math_dataset |
b'Simplify (n/((n*n**4)/n)*n**(-1/5)*n)**40/((n**(1/4))**(-1/26)/(n**(-1))**(9/7)) assuming n is positive.\n' | b'n**(-64993/728)\n' | b'Simplify (n/((n*n**4)/n)*n**(-1/5)*n)**40/((n**(1/4))**(-1/26)/(n**(-1))**(9/7)) assuming n is positive.\n' | b'n**(-64993/728)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 9, i: 2}. Give prob of picking 1 i and 1 y.\n' | b'18/55\n' | b'Two letters picked without replacement from {y: 9, i: 2}. Give prob of picking 1 i and 1 y.\n' | b'18/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence cv when two letters picked without replacement from aacvvacvva.\n' | b'4/45\n' | b'Calculate prob of sequence cv when two letters picked without replacement from aacvvacvva.\n' | b'4/45\n' | deepmind/math_dataset |
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