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'Suppose 716*r + 16 = 718*r. Let b(x) = -x - 38. Determine b(r).\n' | b'-46\n' | b'Suppose 716*r + 16 = 718*r. Let b(x) = -x - 38. Determine b(r).\n' | b'-46\n' | deepmind/math_dataset |
b'Let l(s) be the second derivative of s**3/6 + s**2/2 + 21*s. Let o be l(1). Differentiate -3*y**3 - 1 - o - 24 - 12*y**3 wrt y.\n' | b'-45*y**2\n' | b'Let l(s) be the second derivative of s**3/6 + s**2/2 + 21*s. Let o be l(1). Differentiate -3*y**3 - 1 - o - 24 - 12*y**3 wrt y.\n' | b'-45*y**2\n' | deepmind/math_dataset |
b'Suppose 2*t = -0*t + 16. Suppose -5*z + 4*z + 5*j - 10 = 0, 2*z - 5*j + 5 = 0. Suppose d = z*d + 4*d. Solve -3*g + t*g = 5*i - 25, -5*i - 4*g + 25 = d for i.\n' | b'5\n' | b'Suppose 2*t = -0*t + 16. Suppose -5*z + 4*z + 5*j - 10 = 0, 2*z - 5*j + 5 = 0. Suppose d = z*d + 4*d. Solve -3*g + t*g = 5*i - 25, -5*i - 4*g + 25 = d for i.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 7, t: 12}. What is prob of picking 4 h?\n' | b'35/3876\n' | b'Four letters picked without replacement from {h: 7, t: 12}. What is prob of picking 4 h?\n' | b'35/3876\n' | deepmind/math_dataset |
b'Let i(w) = -w + 3. Let n = 21 + -22. Let h be (1 + n*2)/(29/(-203)). Determine i(h).\n' | b'-4\n' | b'Let i(w) = -w + 3. Let n = 21 + -22. Let h be (1 + n*2)/(29/(-203)). Determine i(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 2, t: 5, p: 4}. What is prob of sequence titt?\n' | b'1/66\n' | b'Four letters picked without replacement from {i: 2, t: 5, p: 4}. What is prob of sequence titt?\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify (((k/((k*k*k*k*k**(-1/18)*k)/k))/(k*k*(k**(-5)/k)/k*k))**(-27/5))**(4/7) assuming k is positive.\n' | b'k**(-114/35)\n' | b'Simplify (((k/((k*k*k*k*k**(-1/18)*k)/k))/(k*k*(k**(-5)/k)/k*k))**(-27/5))**(4/7) assuming k is positive.\n' | b'k**(-114/35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iszzksiik. Give prob of picking 2 i.\n' | b'1/12\n' | b'Two letters picked without replacement from iszzksiik. Give prob of picking 2 i.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let t be 54/15 - 18/(-45). Solve 16 = -5*v - 3*b, -v + 3*b = -t - 0 for v.\n' | b'-2\n' | b'Let t be 54/15 - 18/(-45). Solve 16 = -5*v - 3*b, -v + 3*b = -t - 0 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m(h) = h + 19. Let u be 1/4 - (-114)/(-8). Let g be m(u). Solve -g*f + 22 = 3*r, 2*f - 3 = -2*r + f for r.\n' | b'-1\n' | b'Let m(h) = h + 19. Let u be 1/4 - (-114)/(-8). Let g be m(u). Solve -g*f + 22 = 3*r, 2*f - 3 = -2*r + f for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a(s) = 4*s + 20. Suppose 2*w - 8 = 4*w - 2*y, 0 = 3*w + 4*y + 19. Let g be a(w). What is the second derivative of 0*c + c + g*c**5 - 8*c**5 wrt c?\n' | b'-160*c**3\n' | b'Let a(s) = 4*s + 20. Suppose 2*w - 8 = 4*w - 2*y, 0 = 3*w + 4*y + 19. Let g be a(w). What is the second derivative of 0*c + c + g*c**5 - 8*c**5 wrt c?\n' | b'-160*c**3\n' | deepmind/math_dataset |
b'Suppose -2*l + 8 = -2*f, 0*f = 2*l - 3*f - 10. Suppose -4*a = -5*v + 7, -2*v = -2*a + l - 4. Let i(t) = -1 - 1 + 4*t**a - 6*t**2 + t**3 + t. Give i(2).\n' | b'0\n' | b'Suppose -2*l + 8 = -2*f, 0*f = 2*l - 3*f - 10. Suppose -4*a = -5*v + 7, -2*v = -2*a + l - 4. Let i(t) = -1 - 1 + 4*t**a - 6*t**2 + t**3 + t. Give i(2).\n' | b'0\n' | deepmind/math_dataset |
b'Let q(r) = 2*r**2 - 2*r - 2. Let a be q(-1). Suppose 2*l - 5*s = 11, -a*s + 3 + 1 = 2*l. Suppose 0 = 3*i - i. Solve 3*t + o + 9 = i, l*o = -2*t + 2*o - 7 for t.\n' | b'-2\n' | b'Let q(r) = 2*r**2 - 2*r - 2. Let a be q(-1). Suppose 2*l - 5*s = 11, -a*s + 3 + 1 = 2*l. Suppose 0 = 3*i - i. Solve 3*t + o + 9 = i, l*o = -2*t + 2*o - 7 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(g) = g**2 + g + 11. Let n be ((-3)/(-2))/(3/(-8)) - -4. Give r(n).\n' | b'11\n' | b'Let r(g) = g**2 + g + 11. Let n be ((-3)/(-2))/(3/(-8)) - -4. Give r(n).\n' | b'11\n' | deepmind/math_dataset |
b'Simplify a**(6/11)*a*a**(-8/3)*a*(a**(1/9))**(-43) assuming a is positive.\n' | b'a**(-485/99)\n' | b'Simplify a**(6/11)*a*a**(-8/3)*a*(a**(1/9))**(-43) assuming a is positive.\n' | b'a**(-485/99)\n' | deepmind/math_dataset |
b'Let b(s) = -46*s**2 - 26*s. Let j = 17 + -28. Let u(c) = 9*c**2 + 5*c. Let t(z) = j*u(z) - 2*b(z). Find the second derivative of t(p) wrt p.\n' | b'-14\n' | b'Let b(s) = -46*s**2 - 26*s. Let j = 17 + -28. Let u(c) = 9*c**2 + 5*c. Let t(z) = j*u(z) - 2*b(z). Find the second derivative of t(p) wrt p.\n' | b'-14\n' | deepmind/math_dataset |
b'Let a(w) be the second derivative of 33*w**8/28 - 15*w**4/4 - 31*w. Find the third derivative of a(n) wrt n.\n' | b'7920*n**3\n' | b'Let a(w) be the second derivative of 33*w**8/28 - 15*w**4/4 - 31*w. Find the third derivative of a(n) wrt n.\n' | b'7920*n**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 e, 1 d, and 2 m when four letters picked without replacement from meeemeemmdde?\n' | b'8/55\n' | b'What is prob of picking 1 e, 1 d, and 2 m when four letters picked without replacement from meeemeemmdde?\n' | b'8/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence mt when two letters picked without replacement from {z: 3, u: 9, t: 5, m: 1}.\n' | b'5/306\n' | b'Calculate prob of sequence mt when two letters picked without replacement from {z: 3, u: 9, t: 5, m: 1}.\n' | b'5/306\n' | deepmind/math_dataset |
b'Let a be (-18)/(3 - 6) + 0. Let p be (2 - (2 - -1)) + a. Solve 2*o = 2*u - o + p, -2*u - 2*o = 0 for u.\n' | b'-1\n' | b'Let a be (-18)/(3 - 6) + 0. Let p be (2 - (2 - -1)) + a. Solve 2*o = 2*u - o + p, -2*u - 2*o = 0 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -3*z + 15 = 0, -6*z + z + 28 = -3*o. Let j be (-2)/(-3)*(2 - o). Let h be (((-4)/(-5))/j)/(6/30). Solve -i - 8 = -x, 5*i + 7*x = h*x for i.\n' | b'-4\n' | b'Suppose -3*z + 15 = 0, -6*z + z + 28 = -3*o. Let j be (-2)/(-3)*(2 - o). Let h be (((-4)/(-5))/j)/(6/30). Solve -i - 8 = -x, 5*i + 7*x = h*x for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from rtturrkrzukkurtr.\n' | b'1/8\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from rtturrkrzukkurtr.\n' | b'1/8\n' | deepmind/math_dataset |
b'Let c be 1/(-3)*1*(-66)/88. Let g(a) be the first derivative of -2*a**3 - 2 + 2*a + 1/2*a**2 - c*a**4. Calculate g(-6).\n' | b'-4\n' | b'Let c be 1/(-3)*1*(-66)/88. Let g(a) be the first derivative of -2*a**3 - 2 + 2*a + 1/2*a**2 - c*a**4. Calculate g(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(n) = -n**3 + 28*n**2 + 33*n - 53. Let y be d(29). Suppose 19*l - y - 13 = 0. Solve 5*r + 3 = -2, -2*f + 6 = l*r for f.\n' | b'5\n' | b'Let d(n) = -n**3 + 28*n**2 + 33*n - 53. Let y be d(29). Suppose 19*l - y - 13 = 0. Solve 5*r + 3 = -2, -2*f + 6 = l*r for f.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify o**(-2/15)/o**(-3/7)*o**(-1)/o*o**(1/3)*(((o*o*o**(-6))/o)/o**10)**(-2/85) assuming o is positive.\n' | b'o**(-606/595)\n' | b'Simplify o**(-2/15)/o**(-3/7)*o**(-1)/o*o**(1/3)*(((o*o*o**(-6))/o)/o**10)**(-2/85) assuming o is positive.\n' | b'o**(-606/595)\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 o when two letters picked without replacement from awao?\n' | b'1/3\n' | b'What is prob of picking 1 a and 1 o when two letters picked without replacement from awao?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose 0 = -4*r + 5 + 3. Let j(f) = f**2 - 1 + f**r + 7 - f**2. Let b(d) = d**2 + 11. Let q(w) = -4*b(w) + 7*j(w). Differentiate q(h) wrt h.\n' | b'6*h\n' | b'Suppose 0 = -4*r + 5 + 3. Let j(f) = f**2 - 1 + f**r + 7 - f**2. Let b(d) = d**2 + 11. Let q(w) = -4*b(w) + 7*j(w). Differentiate q(h) wrt h.\n' | b'6*h\n' | deepmind/math_dataset |
b'Let y = 1 + 1. Let w(j) be the first derivative of j**3/3 - 3*j**2/2 + j + 23. Determine w(y).\n' | b'-1\n' | b'Let y = 1 + 1. Let w(j) be the first derivative of j**3/3 - 3*j**2/2 + j + 23. Determine w(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(w) be the third derivative of 0*w + 0 - 24*w**2 + 0*w**6 - 6/35*w**7 + 0*w**4 + 0*w**5 + 3*w**3. What is the first derivative of f(o) wrt o?\n' | b'-144*o**3\n' | b'Let f(w) be the third derivative of 0*w + 0 - 24*w**2 + 0*w**6 - 6/35*w**7 + 0*w**4 + 0*w**5 + 3*w**3. What is the first derivative of f(o) wrt o?\n' | b'-144*o**3\n' | deepmind/math_dataset |
b'What is prob of sequence lr when two letters picked without replacement from srllsrrrsrsl?\n' | b'5/44\n' | b'What is prob of sequence lr when two letters picked without replacement from srllsrrrsrsl?\n' | b'5/44\n' | deepmind/math_dataset |
b'Let j(s) = 6*s - 17. Let k be j(4). Solve -2*l = -3*v - 14, 0*v + k = 3*l - v for l.\n' | b'1\n' | b'Let j(s) = 6*s - 17. Let k be j(4). Solve -2*l = -3*v - 14, 0*v + k = 3*l - v for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let p be (-1)/2 + 47/2. Suppose 0 = -h + 5*j - p, -6*h + 2*h = 4*j - 28. Differentiate 3 + h*c**4 - 3*c**4 - 1 with respect to c.\n' | b'-4*c**3\n' | b'Let p be (-1)/2 + 47/2. Suppose 0 = -h + 5*j - p, -6*h + 2*h = 4*j - 28. Differentiate 3 + h*c**4 - 3*c**4 - 1 with respect to c.\n' | b'-4*c**3\n' | deepmind/math_dataset |
b'Let i(w) = 32*w**3 + 8*w - 13. Let b(z) = 11*z**3 + 3*z - 4. Let x(m) = 8*b(m) - 3*i(m). What is the derivative of x(g) wrt g?\n' | b'-24*g**2\n' | b'Let i(w) = 32*w**3 + 8*w - 13. Let b(z) = 11*z**3 + 3*z - 4. Let x(m) = 8*b(m) - 3*i(m). What is the derivative of x(g) wrt g?\n' | b'-24*g**2\n' | deepmind/math_dataset |
b'What is prob of sequence kk when two letters picked without replacement from {k: 7, s: 5}?\n' | b'7/22\n' | b'What is prob of sequence kk when two letters picked without replacement from {k: 7, s: 5}?\n' | b'7/22\n' | deepmind/math_dataset |
b'Suppose 5*t = 13 - 3. Suppose 3*b - 11 = -3*m + 1, 2*m - b = t. Suppose -l = c + 4, -c - 12 = 4*l + m*c. Let q(j) = j + 16. Give q(l).\n' | b'16\n' | b'Suppose 5*t = 13 - 3. Suppose 3*b - 11 = -3*m + 1, 2*m - b = t. Suppose -l = c + 4, -c - 12 = 4*l + m*c. Let q(j) = j + 16. Give q(l).\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 0 = s - 4*s. Let w be (-20)/6*(534/(-348) - 9/(-261)). Solve s = w*c + 5*u + 2 + 8, -5*u = -2*c - 4 for c.\n' | b'-2\n' | b'Suppose 0 = s - 4*s. Let w be (-20)/6*(534/(-348) - 9/(-261)). Solve s = w*c + 5*u + 2 + 8, -5*u = -2*c - 4 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence jxbb when four letters picked without replacement from {b: 7, a: 1, j: 8, x: 2}?\n' | b'7/765\n' | b'What is prob of sequence jxbb when four letters picked without replacement from {b: 7, a: 1, j: 8, x: 2}?\n' | b'7/765\n' | deepmind/math_dataset |
b'Simplify (a/a**(8/3)*a)**(-24) assuming a is positive.\n' | b'a**16\n' | b'Simplify (a/a**(8/3)*a)**(-24) assuming a is positive.\n' | b'a**16\n' | deepmind/math_dataset |
b'Suppose 28 = 5*h - 2*w, -15*h + 10*h = w - 31. Solve 2*k + 6*a + 2 = 2*a, 0 = 3*a + h for k.\n' | b'3\n' | b'Suppose 28 = 5*h - 2*w, -15*h + 10*h = w - 31. Solve 2*k + 6*a + 2 = 2*a, 0 = 3*a + h for k.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence lhth when four letters picked without replacement from {l: 2, h: 2, x: 2, j: 4, t: 3}?\n' | b'1/1430\n' | b'What is prob of sequence lhth when four letters picked without replacement from {l: 2, h: 2, x: 2, j: 4, t: 3}?\n' | b'1/1430\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 3 s when four letters picked without replacement from hegeegesegssge?\n' | b'6/1001\n' | b'What is prob of picking 1 e and 3 s when four letters picked without replacement from hegeegesegssge?\n' | b'6/1001\n' | deepmind/math_dataset |
b'What is the second derivative of -3*u - 46 + 20 + 26 - 22*u**5 wrt u?\n' | b'-440*u**3\n' | b'What is the second derivative of -3*u - 46 + 20 + 26 - 22*u**5 wrt u?\n' | b'-440*u**3\n' | deepmind/math_dataset |
b'Let t(a) = -a**3 + 4*a**2 - 2. Let c(p) = -p**2 + 1. Let h(s) = -2*c(s) - t(s). Suppose -g = -f - 2, -43*g = -f - 46*g + 14. Calculate h(f).\n' | b'0\n' | b'Let t(a) = -a**3 + 4*a**2 - 2. Let c(p) = -p**2 + 1. Let h(s) = -2*c(s) - t(s). Suppose -g = -f - 2, -43*g = -f - 46*g + 14. Calculate h(f).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence ooh when three letters picked without replacement from hooohoooo.\n' | b'1/6\n' | b'Calculate prob of sequence ooh when three letters picked without replacement from hooohoooo.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let z(q) = -2*q - 2. Let a(u) = 4 - 1 - 406*u + 403*u. Let h be a(1). Let f be h + -3 + (-3 + 0 - -3). Calculate z(f).\n' | b'4\n' | b'Let z(q) = -2*q - 2. Let a(u) = 4 - 1 - 406*u + 403*u. Let h be a(1). Let f be h + -3 + (-3 + 0 - -3). Calculate z(f).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 z, and 2 m when four letters picked without replacement from {z: 9, d: 1, m: 4}.\n' | b'54/1001\n' | b'Calculate prob of picking 1 d, 1 z, and 2 m when four letters picked without replacement from {z: 9, d: 1, m: 4}.\n' | b'54/1001\n' | deepmind/math_dataset |
b'Simplify z/z**(-19)*z**(-2/13) assuming z is positive.\n' | b'z**(258/13)\n' | b'Simplify z/z**(-19)*z**(-2/13) assuming z is positive.\n' | b'z**(258/13)\n' | deepmind/math_dataset |
b'Suppose -5*d - 5*n + 3*n = -21, 15 = d - 5*n. Let y(w) = -d*w**2 + 6*w**3 - 4*w**3 - 3*w**3. Determine y(-4).\n' | b'-16\n' | b'Suppose -5*d - 5*n + 3*n = -21, 15 = d - 5*n. Let y(w) = -d*w**2 + 6*w**3 - 4*w**3 - 3*w**3. Determine y(-4).\n' | b'-16\n' | deepmind/math_dataset |
b'Let l(d) = -d + 5. Let i(q) = -2*q + 6. Let k(o) = 2*i(o) - 3*l(o). Determine k(5).\n' | b'-8\n' | b'Let l(d) = -d + 5. Let i(q) = -2*q + 6. Let k(o) = 2*i(o) - 3*l(o). Determine k(5).\n' | b'-8\n' | deepmind/math_dataset |
b'Let h(x) = x**2 + 9*x - 19. Let v be h(-11). Suppose -v*t = 70 - 187. Let k be ((-30)/45)/((-2)/t). Solve -s - 3*a = -k - 4, -a + 14 = 2*s for s.\n' | b'5\n' | b'Let h(x) = x**2 + 9*x - 19. Let v be h(-11). Suppose -v*t = 70 - 187. Let k be ((-30)/45)/((-2)/t). Solve -s - 3*a = -k - 4, -a + 14 = 2*s for s.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from hmpmpmpmpmpmpphm.\n' | b'7/40\n' | b'Calculate prob of sequence pp when two letters picked without replacement from hmpmpmpmpmpmpphm.\n' | b'7/40\n' | deepmind/math_dataset |
b'Let d be -2 + 15 - (0 - 3). Let z be (2 - d/4) + 2. Solve 2 = -2*m - 3*l, 5*m + z*l + 3*l = 4 for m.\n' | b'2\n' | b'Let d be -2 + 15 - (0 - 3). Let z be (2 - d/4) + 2. Solve 2 = -2*m - 3*l, 5*m + z*l + 3*l = 4 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, e: 1, s: 1}. What is prob of sequence se?\n' | b'1/6\n' | b'Two letters picked without replacement from {t: 1, e: 1, s: 1}. What is prob of sequence se?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pprdpfnrppffnf. What is prob of picking 1 f, 1 r, and 1 d?\n' | b'2/91\n' | b'Three letters picked without replacement from pprdpfnrppffnf. What is prob of picking 1 f, 1 r, and 1 d?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify ((x**(-14)*x)/x)/((x**39*x)/x*x)*(((x*x**35)/x)/x)/(x*x/(x/(x/(x**(-2/7)/x*x)))*x*x) assuming x is positive.\n' | b'x**(-170/7)\n' | b'Simplify ((x**(-14)*x)/x)/((x**39*x)/x*x)*(((x*x**35)/x)/x)/(x*x/(x/(x/(x**(-2/7)/x*x)))*x*x) assuming x is positive.\n' | b'x**(-170/7)\n' | deepmind/math_dataset |
b'Let d(v) = -79*v + 2707. Let k be d(34). Solve f = -3*m - 2*f - k, 5*f = m - 17 for m.\n' | b'-3\n' | b'Let d(v) = -79*v + 2707. Let k be d(34). Solve f = -3*m - 2*f - k, 5*f = m - 17 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (h**(-1)/h**(-5))**(-12)*(h*h**(-6)*((h**(-1/9)*h)/h)/h)**(-9) assuming h is positive.\n' | b'h**7\n' | b'Simplify (h**(-1)/h**(-5))**(-12)*(h*h**(-6)*((h**(-1/9)*h)/h)/h)**(-9) assuming h is positive.\n' | b'h**7\n' | deepmind/math_dataset |
b'Simplify (v/v**(-2/7))**(-18)*(((v/(v*v**(3/5)*v*v))/v)/v)/(v**1*v) assuming v is positive.\n' | b'v**(-1041/35)\n' | b'Simplify (v/v**(-2/7))**(-18)*(((v/(v*v**(3/5)*v*v))/v)/v)/(v**1*v) assuming v is positive.\n' | b'v**(-1041/35)\n' | deepmind/math_dataset |
b'Calculate prob of sequence be when two letters picked without replacement from {d: 2, b: 9, e: 2}.\n' | b'3/26\n' | b'Calculate prob of sequence be when two letters picked without replacement from {d: 2, b: 9, e: 2}.\n' | b'3/26\n' | deepmind/math_dataset |
b'What is prob of sequence kbw when three letters picked without replacement from gbkkkeewbwebg?\n' | b'3/286\n' | b'What is prob of sequence kbw when three letters picked without replacement from gbkkkeewbwebg?\n' | b'3/286\n' | deepmind/math_dataset |
b'What is prob of picking 2 t and 2 e when four letters picked without replacement from {t: 8, e: 5}?\n' | b'56/143\n' | b'What is prob of picking 2 t and 2 e when four letters picked without replacement from {t: 8, e: 5}?\n' | b'56/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from xudxxduddxxd.\n' | b'1/99\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from xudxxduddxxd.\n' | b'1/99\n' | deepmind/math_dataset |
b'Let i(z) = z**3 - z**2 + z + 1. Let n = 42 - 42. Suppose -5*m - v = 3 - n, 6 = -3*m - 2*v. Determine i(m).\n' | b'1\n' | b'Let i(z) = z**3 - z**2 + z + 1. Let n = 42 - 42. Suppose -5*m - v = 3 - n, 6 = -3*m - 2*v. Determine i(m).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, o: 11}. Give prob of sequence ooo.\n' | b'15/26\n' | b'Three letters picked without replacement from {w: 2, o: 11}. Give prob of sequence ooo.\n' | b'15/26\n' | deepmind/math_dataset |
b'Let j(w) = 35*w**3 - 259*w**2 + 3*w - 5. Let z(k) = 68*k**3 - 519*k**2 + 7*k - 11. Let c(h) = -7*j(h) + 3*z(h). What is the third derivative of c(b) wrt b?\n' | b'-246\n' | b'Let j(w) = 35*w**3 - 259*w**2 + 3*w - 5. Let z(k) = 68*k**3 - 519*k**2 + 7*k - 11. Let c(h) = -7*j(h) + 3*z(h). What is the third derivative of c(b) wrt b?\n' | b'-246\n' | deepmind/math_dataset |
b'Suppose 5*k - 12 = 8. Suppose 6*b + k = 8*b. Solve -p = -2*j - 7, 0 = b*j + j + p - 2 for j.\n' | b'-1\n' | b'Suppose 5*k - 12 = 8. Suppose 6*b + k = 8*b. Solve -p = -2*j - 7, 0 = b*j + j + p - 2 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wrawvlwwwawuwwwvwuww. What is prob of picking 1 v, 2 w, and 1 r?\n' | b'44/1615\n' | b'Four letters picked without replacement from wrawvlwwwawuwwwvwuww. What is prob of picking 1 v, 2 w, and 1 r?\n' | b'44/1615\n' | deepmind/math_dataset |
b'Simplify (m/m**(1/3))/(m**3*m)*(m**(-1/3))**34*(m**1*m)**(4/5)*(m**(-1))**(-28) assuming m is positive.\n' | b'm**(224/15)\n' | b'Simplify (m/m**(1/3))/(m**3*m)*(m**(-1/3))**34*(m**1*m)**(4/5)*(m**(-1))**(-28) assuming m is positive.\n' | b'm**(224/15)\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from ymylfcp?\n' | b'1/35\n' | b'What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from ymylfcp?\n' | b'1/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wydw. What is prob of picking 1 y, 1 w, and 1 d?\n' | b'1/2\n' | b'Three letters picked without replacement from wydw. What is prob of picking 1 y, 1 w, and 1 d?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let p(w) = 4*w + 3. Suppose -158 + 8 = -30*j. Suppose 5*h = j*x - 4*x + 12, -h - 5*x = 8. What is p(h)?\n' | b'11\n' | b'Let p(w) = 4*w + 3. Suppose -158 + 8 = -30*j. Suppose 5*h = j*x - 4*x + 12, -h - 5*x = 8. What is p(h)?\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 4, e: 5, f: 4, r: 2}. Give prob of sequence dfff.\n' | b'4/1365\n' | b'Four letters picked without replacement from {d: 4, e: 5, f: 4, r: 2}. Give prob of sequence dfff.\n' | b'4/1365\n' | deepmind/math_dataset |
b'What is prob of sequence vx when two letters picked without replacement from lvxmk?\n' | b'1/20\n' | b'What is prob of sequence vx when two letters picked without replacement from lvxmk?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let s(q) = -q**4 + q**3 - q + 1. Let u(i) = 12*i**4 - i**3 + 14*i**2 + i - 1. Let k(a) = -s(a) - u(a). Find the third derivative of k(g) wrt g.\n' | b'-264*g\n' | b'Let s(q) = -q**4 + q**3 - q + 1. Let u(i) = 12*i**4 - i**3 + 14*i**2 + i - 1. Let k(a) = -s(a) - u(a). Find the third derivative of k(g) wrt g.\n' | b'-264*g\n' | deepmind/math_dataset |
b'Let f(x) = 121*x - x**2 - 6 - 23 - 228*x + 112*x. What is f(4)?\n' | b'-25\n' | b'Let f(x) = 121*x - x**2 - 6 - 23 - 228*x + 112*x. What is f(4)?\n' | b'-25\n' | deepmind/math_dataset |
b'Let r(k) = -k**3 - 4*k**2 + 3*k - 5. Let g be r(-5). Solve 0 = -2*u + 4*y + 6 + 10, 16 = g*u - 2*y for u.\n' | b'2\n' | b'Let r(k) = -k**3 - 4*k**2 + 3*k - 5. Let g be r(-5). Solve 0 = -2*u + 4*y + 6 + 10, 16 = g*u - 2*y for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let d be (3/(-2))/((-6)/(-8)). Let v(l) = 8 + 1548*l - 1547*l - 10. What is v(d)?\n' | b'-4\n' | b'Let d be (3/(-2))/((-6)/(-8)). Let v(l) = 8 + 1548*l - 1547*l - 10. What is v(d)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hggkgogoggh.\n' | b'4/55\n' | b'Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hggkgogoggh.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let h(y) be the third derivative of y**5/12 + y**4/24 - 9*y**2. Let d(p) = p + 20. Let m be d(-11). Let x = 8 - m. Calculate h(x).\n' | b'4\n' | b'Let h(y) be the third derivative of y**5/12 + y**4/24 - 9*y**2. Let d(p) = p + 20. Let m be d(-11). Let x = 8 - m. Calculate h(x).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 8, x: 7, y: 2, f: 2}. What is prob of picking 1 x, 1 t, and 2 y?\n' | b'14/969\n' | b'Four letters picked without replacement from {t: 8, x: 7, y: 2, f: 2}. What is prob of picking 1 x, 1 t, and 2 y?\n' | b'14/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kllkkkkllklklkkklll. What is prob of sequence klll?\n' | b'35/646\n' | b'Four letters picked without replacement from kllkkkkllklklkkklll. What is prob of sequence klll?\n' | b'35/646\n' | deepmind/math_dataset |
b'Let f = 4395 + -4390. Solve -b + 5*c = 19, b - 4*c + f*c - 5 = 0 for b.\n' | b'1\n' | b'Let f = 4395 + -4390. Solve -b + 5*c = 19, b - 4*c + f*c - 5 = 0 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(o) = 200*o + 227. Let l(g) be the second derivative of -33*g**3 - 227*g**2/2 - 7*g - 9. Let k(c) = -4*i(c) - 5*l(c). What is the derivative of k(w) wrt w?\n' | b'190\n' | b'Let i(o) = 200*o + 227. Let l(g) be the second derivative of -33*g**3 - 227*g**2/2 - 7*g - 9. Let k(c) = -4*i(c) - 5*l(c). What is the derivative of k(w) wrt w?\n' | b'190\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ykyyykzkddzyvdkky. What is prob of picking 1 k and 1 v?\n' | b'5/136\n' | b'Two letters picked without replacement from ykyyykzkddzyvdkky. What is prob of picking 1 k and 1 v?\n' | b'5/136\n' | deepmind/math_dataset |
b'Suppose -26 = -4*u - p, 4 = p + p. Solve c = 3*y - 3 - u, 12 = -2*c + 3*y for c.\n' | b'-3\n' | b'Suppose -26 = -4*u - p, 4 = p + p. Solve c = 3*y - 3 - u, 12 = -2*c + 3*y for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Let g(m) = -6*m + 2. Let o be (-8)/(-20) - ((-24)/(-10) + 3). Let j(d) = -d - 1. Let a(c) = o*j(c) + g(c). Calculate a(6).\n' | b'1\n' | b'Let g(m) = -6*m + 2. Let o be (-8)/(-20) - ((-24)/(-10) + 3). Let j(d) = -d - 1. Let a(c) = o*j(c) + g(c). Calculate a(6).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, h: 4, m: 3}. Give prob of picking 1 a and 1 h.\n' | b'1/7\n' | b'Two letters picked without replacement from {a: 1, h: 4, m: 3}. Give prob of picking 1 a and 1 h.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let v be (2 - 3/3) + -2. Let u = v + 4. Let t(x) = -5*x - 2 + u*x + x. Calculate t(-3).\n' | b'1\n' | b'Let v be (2 - 3/3) + -2. Let u = v + 4. Let t(x) = -5*x - 2 + u*x + x. Calculate t(-3).\n' | b'1\n' | deepmind/math_dataset |
b'Let i(q) = -q + 3 + 3 + 2. Suppose 210 = 42*m - 7*m. Determine i(m).\n' | b'2\n' | b'Let i(q) = -q + 3 + 3 + 2. Suppose 210 = 42*m - 7*m. Determine i(m).\n' | b'2\n' | deepmind/math_dataset |
b'Let s(y) be the first derivative of y**4/4 + 5*y**3/3 + y + 4. Let c be s(-5). Solve 2*a = -2*p - 3*a - 5, c = -5*p - a for p.\n' | b'0\n' | b'Let s(y) be the first derivative of y**4/4 + 5*y**3/3 + y + 4. Let c be s(-5). Solve 2*a = -2*p - 3*a - 5, c = -5*p - a for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(m) = -2073*m**2 - 2074*m**2 + 4148*m**2. Determine g(-3).\n' | b'9\n' | b'Let g(m) = -2073*m**2 - 2074*m**2 + 4148*m**2. Determine g(-3).\n' | b'9\n' | deepmind/math_dataset |
b'Let p(i) be the second derivative of 4 + 1/10*i**6 + 0*i**5 - i + 0*i**4 + 1/6*i**3 + 13*i**2. Find the second derivative of p(w) wrt w.\n' | b'36*w**2\n' | b'Let p(i) be the second derivative of 4 + 1/10*i**6 + 0*i**5 - i + 0*i**4 + 1/6*i**3 + 13*i**2. Find the second derivative of p(w) wrt w.\n' | b'36*w**2\n' | deepmind/math_dataset |
b'Suppose -8*d + 5*d = 18. Let g = d - -3. Let j = g + 5. Solve -q - 2*t = -3, -j*q - 2*t - 17 = -5*q for q.\n' | b'5\n' | b'Suppose -8*d + 5*d = 18. Let g = d - -3. Let j = g + 5. Solve -q - 2*t = -3, -j*q - 2*t - 17 = -5*q for q.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((g**(-2/7)*g)/(g*g**(-4/15)))/((g*g/(g/(g**(-14)*g))*g)/((g**(-9)/g)/g)) assuming g is positive.\n' | b'g**(-2/105)\n' | b'Simplify ((g**(-2/7)*g)/(g*g**(-4/15)))/((g*g/(g/(g**(-14)*g))*g)/((g**(-9)/g)/g)) assuming g is positive.\n' | b'g**(-2/105)\n' | deepmind/math_dataset |
b'What is prob of sequence gh when two letters picked without replacement from {g: 1, h: 3}?\n' | b'1/4\n' | b'What is prob of sequence gh when two letters picked without replacement from {g: 1, h: 3}?\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of sequence nx when two letters picked without replacement from nxxxxn?\n' | b'4/15\n' | b'What is prob of sequence nx when two letters picked without replacement from nxxxxn?\n' | b'4/15\n' | deepmind/math_dataset |
b'Suppose -w - 51 = -4*w. Suppose 2*k - 3 = w. Let r be 15*3/((-18)/(-4)). Solve -2*f - r = -f + 3*s, k = 3*f + s for f.\n' | b'5\n' | b'Suppose -w - 51 = -4*w. Suppose 2*k - 3 = w. Let r be 15*3/((-18)/(-4)). Solve -2*f - r = -f + 3*s, k = 3*f + s for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let n(q) = q + 18. Let t be n(-21). Let k be (2/t)/((-12)/18). Solve -2*a = 4*v + 8, 0 = -v - k - 1 for a.\n' | b'0\n' | b'Let n(q) = q + 18. Let t be n(-21). Let k be (2/t)/((-12)/18). Solve -2*a = 4*v + 8, 0 = -v - k - 1 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 5, y: 5, u: 3}. Give prob of sequence eu.\n' | b'5/52\n' | b'Two letters picked without replacement from {e: 5, y: 5, u: 3}. Give prob of sequence eu.\n' | b'5/52\n' | deepmind/math_dataset |
b'Suppose 3*y = 5*z + 32, -5*z - 5 = -0*z. Let u(d) = y*d - 7*d + 4 + 0. Let s = 1 + -4. Calculate u(s).\n' | b'-2\n' | b'Suppose 3*y = 5*z + 32, -5*z - 5 = -0*z. Let u(d) = y*d - 7*d + 4 + 0. Let s = 1 + -4. Calculate u(s).\n' | b'-2\n' | deepmind/math_dataset |
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