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'Let u(m) = -72*m**2 - 394. Let c(s) = 36*s**2 + 199. Let p(g) = -5*c(g) - 2*u(g). What is the derivative of p(w) wrt w?\n' | b'-72*w\n' | b'Let u(m) = -72*m**2 - 394. Let c(s) = 36*s**2 + 199. Let p(g) = -5*c(g) - 2*u(g). What is the derivative of p(w) wrt w?\n' | b'-72*w\n' | deepmind/math_dataset |
b'Let t(n) be the first derivative of -13*n**6/6 + n**5/5 + 37*n**4/4 - n**3/3 + 6*n**2 + 9*n + 2111. What is the third derivative of t(l) wrt l?\n' | b'-780*l**2 + 24*l + 222\n' | b'Let t(n) be the first derivative of -13*n**6/6 + n**5/5 + 37*n**4/4 - n**3/3 + 6*n**2 + 9*n + 2111. What is the third derivative of t(l) wrt l?\n' | b'-780*l**2 + 24*l + 222\n' | deepmind/math_dataset |
b'Suppose -3*x = -4*x + 5*s + 3, 3*s - 6 = 0. Let d(b) = b - 17. Let j be d(x). Let y be j/20 - 2/(-10). Solve 0 = -3*f - 2*z - 15, -4*f + y*z - 18 = 2*z for f.\n' | b'-3\n' | b'Suppose -3*x = -4*x + 5*s + 3, 3*s - 6 = 0. Let d(b) = b - 17. Let j be d(x). Let y be j/20 - 2/(-10). Solve 0 = -3*f - 2*z - 15, -4*f + y*z - 18 = 2*z for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((j*j**(11/2)*j)/j)/j*j)/j**(-2/9) assuming j is positive.\n' | b'j**(121/18)\n' | b'Simplify (((j*j**(11/2)*j)/j)/j*j)/j**(-2/9) assuming j is positive.\n' | b'j**(121/18)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttapatppaatt. What is prob of sequence tt?\n' | b'5/33\n' | b'Two letters picked without replacement from ttapatppaatt. What is prob of sequence tt?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let b(v) = 28 + 1 - 2*v**3 - 58 + 51*v**2 - 24*v. Determine b(25).\n' | b'-4\n' | b'Let b(v) = 28 + 1 - 2*v**3 - 58 + 51*v**2 - 24*v. Determine b(25).\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(v) = -v**2 + 3*v + 1. Let w(c) = -764*c**2 - 36*c - 694. Let f(t) = 12*q(t) + w(t). Differentiate f(l) wrt l.\n' | b'-1552*l\n' | b'Let q(v) = -v**2 + 3*v + 1. Let w(c) = -764*c**2 - 36*c - 694. Let f(t) = 12*q(t) + w(t). Differentiate f(l) wrt l.\n' | b'-1552*l\n' | deepmind/math_dataset |
b'Let c(v) be the first derivative of -v**5/15 + 11*v**3/6 + 5*v**2 + 12. Let b(o) be the second derivative of c(o). What is the first derivative of b(j) wrt j?\n' | b'-8*j\n' | b'Let c(v) be the first derivative of -v**5/15 + 11*v**3/6 + 5*v**2 + 12. Let b(o) be the second derivative of c(o). What is the first derivative of b(j) wrt j?\n' | b'-8*j\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, u: 8}. What is prob of picking 2 r and 2 u?\n' | b'56/143\n' | b'Four letters picked without replacement from {r: 5, u: 8}. What is prob of picking 2 r and 2 u?\n' | b'56/143\n' | deepmind/math_dataset |
b'Let k = -184 - -206. Suppose o - 7 = -2*y, -5*y + 16 = -2*y - 4*o. Suppose f - y*j = j + 27, -4*j = -f + k. Solve -c = f*c + 2*i + 19, 3*c + i = -17 for c.\n' | b'-5\n' | b'Let k = -184 - -206. Suppose o - 7 = -2*y, -5*y + 16 = -2*y - 4*o. Suppose f - y*j = j + 27, -4*j = -f + k. Solve -c = f*c + 2*i + 19, 3*c + i = -17 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose t + t = 10. Suppose -5*c + 20 + t = 0. Let s(g) = g**2 - 7*g + 7. What is s(c)?\n' | b'-3\n' | b'Suppose t + t = 10. Suppose -5*c + 20 + t = 0. Let s(g) = g**2 - 7*g + 7. What is s(c)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(g) be the third derivative of g**6/120 + g**5/4 + 7*g**4/12 - 3*g**3/2 + 4008*g**2. What is b(-14)?\n' | b'-9\n' | b'Let b(g) be the third derivative of g**6/120 + g**5/4 + 7*g**4/12 - 3*g**3/2 + 4008*g**2. What is b(-14)?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-12))/g*g*g*(g/((g**(14/9)/g)/g*g*g))/g)**(-4/15) assuming g is positive.\n' | b'g**(-448/135)\n' | b'Simplify ((g/g**(-12))/g*g*g*(g/((g**(14/9)/g)/g*g*g))/g)**(-4/15) assuming g is positive.\n' | b'g**(-448/135)\n' | deepmind/math_dataset |
b'Suppose 4*b = b - 18. Let h(v) be the second derivative of 0 - 1/6*v**3 - 7/2*v**2 - v. Calculate h(b).\n' | b'-1\n' | b'Suppose 4*b = b - 18. Let h(v) be the second derivative of 0 - 1/6*v**3 - 7/2*v**2 - v. Calculate h(b).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((i*i**(13/5))/(i/((i*i/(i/i**(2/9))*i*i)/i)))**(10/13) assuming i is positive.\n' | b'i**(434/117)\n' | b'Simplify ((i*i**(13/5))/(i/((i*i/(i/i**(2/9))*i*i)/i)))**(10/13) assuming i is positive.\n' | b'i**(434/117)\n' | deepmind/math_dataset |
b'Let a(q) = -6*q**2 - 53*q. Suppose 4*m = -4*y - m - 16, -6*m + 33 = -y. Give a(y).\n' | b'-9\n' | b'Let a(q) = -6*q**2 - 53*q. Suppose 4*m = -4*y - m - 16, -6*m + 33 = -y. Give a(y).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 3*a + 0*a = 6. Let h(z) = 2*z - 2. Let k be h(3). Solve -k = -a*p, -7*o - 3*p = -3*o - 10 for o.\n' | b'1\n' | b'Suppose 3*a + 0*a = 6. Let h(z) = 2*z - 2. Let k be h(3). Solve -k = -a*p, -7*o - 3*p = -3*o - 10 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let w = 132 + -125. Solve -5*p = v - 14, -10 = 2*p - w*p for v.\n' | b'4\n' | b'Let w = 132 + -125. Solve -5*p = v - 14, -10 = 2*p - w*p for v.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (x*x/(x**(-3/4)*x))**4*(x**(-9)/x)/(x/(x*x**(2/59)*x)) assuming x is positive.\n' | b'x**(-116/59)\n' | b'Simplify (x*x/(x**(-3/4)*x))**4*(x**(-9)/x)/(x/(x*x**(2/59)*x)) assuming x is positive.\n' | b'x**(-116/59)\n' | deepmind/math_dataset |
b'Let x be (0 - -2)/(-1) - -2. Suppose -2*n + x*n + 10 = 0. Suppose r = -n*q - 8 + 119, 2*q - 5*r = 39. Solve -h + 14 = 5*g, -5*g - 2*h = h - q for g.\n' | b'2\n' | b'Let x be (0 - -2)/(-1) - -2. Suppose -2*n + x*n + 10 = 0. Suppose r = -n*q - 8 + 119, 2*q - 5*r = 39. Solve -h + 14 = 5*g, -5*g - 2*h = h - q for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(b) = -13*b**3 + 10*b**2 - 5. Let y(r) = -12 - 12 + 23 + r**2. Let s(v) = -i(v) + 5*y(v). What is the third derivative of s(o) wrt o?\n' | b'78\n' | b'Let i(b) = -13*b**3 + 10*b**2 - 5. Let y(r) = -12 - 12 + 23 + r**2. Let s(v) = -i(v) + 5*y(v). What is the third derivative of s(o) wrt o?\n' | b'78\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tgrrlrtdgrtrgrtg. What is prob of sequence rlg?\n' | b'1/140\n' | b'Three letters picked without replacement from tgrrlrtdgrtrgrtg. What is prob of sequence rlg?\n' | b'1/140\n' | deepmind/math_dataset |
b'Suppose 4*a - 18 = -3*m, -2*a = 2 + 4. Let u(o) = 18 + 15*o - 27 - 5*o + 12 - o**2. What is u(m)?\n' | b'3\n' | b'Suppose 4*a - 18 = -3*m, -2*a = 2 + 4. Let u(o) = 18 + 15*o - 27 - 5*o + 12 - o**2. What is u(m)?\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, a: 11}. What is prob of sequence aaa?\n' | b'165/364\n' | b'Three letters picked without replacement from {e: 3, a: 11}. What is prob of sequence aaa?\n' | b'165/364\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 2, i: 2, k: 2}. Give prob of sequence kkip.\n' | b'1/45\n' | b'Four letters picked without replacement from {p: 2, i: 2, k: 2}. Give prob of sequence kkip.\n' | b'1/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wddzljdljdwjzdwdllzj. Give prob of picking 1 l and 1 j.\n' | b'8/95\n' | b'Two letters picked without replacement from wddzljdljdwjzdwdllzj. Give prob of picking 1 l and 1 j.\n' | b'8/95\n' | deepmind/math_dataset |
b'Let x be 118/767 + 50/13. Suppose 19*m = 14*m + 2*v + 18, x*m + 12 = -5*v. Solve -4*i + 4*c - m*c = 20, 2*i = -c - 6 for i.\n' | b'-4\n' | b'Let x be 118/767 + 50/13. Suppose 19*m = 14*m + 2*v + 18, x*m + 12 = -5*v. Solve -4*i + 4*c - m*c = 20, 2*i = -c - 6 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -2*i - 2*g + g = -8, g = -i + 4. Suppose -18 = -7*n + i*n. Let z(l) = -2 + 9 + 2*l**2 + l**3 - 7*l - 7*l**2. Determine z(n).\n' | b'1\n' | b'Suppose -2*i - 2*g + g = -8, g = -i + 4. Suppose -18 = -7*n + i*n. Let z(l) = -2 + 9 + 2*l**2 + l**3 - 7*l - 7*l**2. Determine z(n).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddzzdcddccdddcddddzd. What is prob of picking 2 z?\n' | b'3/190\n' | b'Two letters picked without replacement from ddzzdcddccdddcddddzd. What is prob of picking 2 z?\n' | b'3/190\n' | deepmind/math_dataset |
b'Let s(k) = k**2 + 5*k + 2. Let z = -41 - -37. Give s(z).\n' | b'-2\n' | b'Let s(k) = k**2 + 5*k + 2. Let z = -41 - -37. Give s(z).\n' | b'-2\n' | deepmind/math_dataset |
b'Let n(s) = -s**3 + 5*s**2 + 3*s + 15. Let z be (-6)/(-21) - -141*31/651. Calculate n(z).\n' | b'-62\n' | b'Let n(s) = -s**3 + 5*s**2 + 3*s + 15. Let z be (-6)/(-21) - -141*31/651. Calculate n(z).\n' | b'-62\n' | deepmind/math_dataset |
b'Suppose -4*f + 3*f = 6, 5*p - 5*f - 30 = 0. Let d(t) = 4 - t + 2 + 1. Determine d(p).\n' | b'7\n' | b'Suppose -4*f + 3*f = 6, 5*p - 5*f - 30 = 0. Let d(t) = 4 - t + 2 + 1. Determine d(p).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from {g: 1, t: 3, k: 16}?\n' | b'28/57\n' | b'What is prob of picking 3 k when three letters picked without replacement from {g: 1, t: 3, k: 16}?\n' | b'28/57\n' | deepmind/math_dataset |
b'Let r be 4*5/(-100)*15. Let z(o) = 8*o + 4. Calculate z(r).\n' | b'-20\n' | b'Let r be 4*5/(-100)*15. Let z(o) = 8*o + 4. Calculate z(r).\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify ((((m*m**(-2)*m*m)/m*m)/(m/(m/(m**(2/47)*m*m))))/((m*m/m**(-42)*m)/m*m*m/(m*(m**4/m)/m*m)*m))**(3/5) assuming m is positive.\n' | b'm**(-1242/47)\n' | b'Simplify ((((m*m**(-2)*m*m)/m*m)/(m/(m/(m**(2/47)*m*m))))/((m*m/m**(-42)*m)/m*m*m/(m*(m**4/m)/m*m)*m))**(3/5) assuming m is positive.\n' | b'm**(-1242/47)\n' | deepmind/math_dataset |
b'Calculate prob of sequence kz when two letters picked without replacement from kzeekkeekkkkk.\n' | b'2/39\n' | b'Calculate prob of sequence kz when two letters picked without replacement from kzeekkeekkkkk.\n' | b'2/39\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 4, w: 2, r: 7}. What is prob of sequence wyrr?\n' | b'14/715\n' | b'Four letters picked without replacement from {y: 4, w: 2, r: 7}. What is prob of sequence wyrr?\n' | b'14/715\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 8, b: 4, w: 1}. Give prob of picking 1 v and 2 b.\n' | b'24/143\n' | b'Three letters picked without replacement from {v: 8, b: 4, w: 1}. Give prob of picking 1 v and 2 b.\n' | b'24/143\n' | deepmind/math_dataset |
b'Suppose 0 = 2*y + 4*p - 12, 2*y - y + 5*p - 18 = 0. Let a(w) = -793 - w + 793. What is a(y)?\n' | b'2\n' | b'Suppose 0 = 2*y + 4*p - 12, 2*y - y + 5*p - 18 = 0. Let a(w) = -793 - w + 793. What is a(y)?\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mxbmttxeeooextbemxbb. What is prob of picking 1 o and 1 t?\n' | b'3/95\n' | b'Two letters picked without replacement from mxbmttxeeooextbemxbb. What is prob of picking 1 o and 1 t?\n' | b'3/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 3 m when four letters picked without replacement from {r: 3, m: 4}.\n' | b'12/35\n' | b'Calculate prob of picking 1 r and 3 m when four letters picked without replacement from {r: 3, m: 4}.\n' | b'12/35\n' | deepmind/math_dataset |
b'Suppose t = -1, -5*x + 3*t - 2*t + 1 = 0. Let i(w) = 5 + 0 + x + w. Let j(b) = -b**3 + b**2 + b. Let y be j(0). What is i(y)?\n' | b'5\n' | b'Suppose t = -1, -5*x + 3*t - 2*t + 1 = 0. Let i(w) = 5 + 0 + x + w. Let j(b) = -b**3 + b**2 + b. Let y be j(0). What is i(y)?\n' | b'5\n' | deepmind/math_dataset |
b'Let l(x) be the second derivative of -10*x**7/7 - 5*x**3 - 25*x. What is the second derivative of l(d) wrt d?\n' | b'-1200*d**3\n' | b'Let l(x) be the second derivative of -10*x**7/7 - 5*x**3 - 25*x. What is the second derivative of l(d) wrt d?\n' | b'-1200*d**3\n' | deepmind/math_dataset |
b'Suppose -2*s + 6 + 10 = 0. Let l(z) = -z**2 + 9*z - 5. Let f be l(s). Let b = 81 + -71. Solve 4 = f*q - q, 4*q - b = 2*g for g.\n' | b'-1\n' | b'Suppose -2*s + 6 + 10 = 0. Let l(z) = -z**2 + 9*z - 5. Let f be l(s). Let b = 81 + -71. Solve 4 = f*q - q, 4*q - b = 2*g for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(m) = m**2 + 20*m - 16. Let t be i(-21). Suppose t*a - 75 = -5*n, 6*a - 9*a = 5*n - 83. Solve 2*y - 11 = k, -5*k = -4*k - 4*y + n for k.\n' | b'-3\n' | b'Let i(m) = m**2 + 20*m - 16. Let t be i(-21). Suppose t*a - 75 = -5*n, 6*a - 9*a = 5*n - 83. Solve 2*y - 11 = k, -5*k = -4*k - 4*y + n for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r be 3/(-6) - 22/(-4). Let y(k) = 19*k**2 + 21. Let t(v) = -18*v**2 - 20. Let i(f) = r*y(f) + 4*t(f). Differentiate i(c) wrt c.\n' | b'46*c\n' | b'Let r be 3/(-6) - 22/(-4). Let y(k) = 19*k**2 + 21. Let t(v) = -18*v**2 - 20. Let i(f) = r*y(f) + 4*t(f). Differentiate i(c) wrt c.\n' | b'46*c\n' | deepmind/math_dataset |
b'What is prob of sequence oggg when four letters picked without replacement from oggeoggooooooo?\n' | b'9/1001\n' | b'What is prob of sequence oggg when four letters picked without replacement from oggeoggooooooo?\n' | b'9/1001\n' | deepmind/math_dataset |
b'Simplify (l*l**(-1)*l/l**(-5))**38*((l**(-2))**42)**43 assuming l is positive.\n' | b'l**(-3384)\n' | b'Simplify (l*l**(-1)*l/l**(-5))**38*((l**(-2))**42)**43 assuming l is positive.\n' | b'l**(-3384)\n' | deepmind/math_dataset |
b'Let o(l) = -l**2 - 22*l - 19. Let c be o(-21). Suppose 3*u - c*w = -6, -3*w = 2*u - 2*w - 3. Solve u = -4*z + 4*a + 21 - 1, -3*z + 5*a = -19 for z.\n' | b'3\n' | b'Let o(l) = -l**2 - 22*l - 19. Let c be o(-21). Suppose 3*u - c*w = -6, -3*w = 2*u - 2*w - 3. Solve u = -4*z + 4*a + 21 - 1, -3*z + 5*a = -19 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 1, h: 3, u: 4}.\n' | b'2/35\n' | b'Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 1, h: 3, u: 4}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let y(t) = t**2 + 3*t + 2. Let c(v) = v**2 + 3*v + 2. Let g(h) = -6*c(h) + 5*y(h). Suppose -3*l + 4*l = 2*z - 1, -5*l - 23 = -z. Calculate g(z).\n' | b'0\n' | b'Let y(t) = t**2 + 3*t + 2. Let c(v) = v**2 + 3*v + 2. Let g(h) = -6*c(h) + 5*y(h). Suppose -3*l + 4*l = 2*z - 1, -5*l - 23 = -z. Calculate g(z).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, u: 16}.\n' | b'1/4845\n' | b'Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, u: 16}.\n' | b'1/4845\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vonovnncvvnmvvnm. What is prob of sequence ommc?\n' | b'1/10920\n' | b'Four letters picked without replacement from vonovnncvvnmvvnm. What is prob of sequence ommc?\n' | b'1/10920\n' | deepmind/math_dataset |
b'Suppose 0 = 2*b + 2*b - 16. Suppose -5*a = -w + 15, 2 = 2*w + b*a - 0. Let i(s) = s**3 - 6*s**2 + 6*s. What is i(w)?\n' | b'5\n' | b'Suppose 0 = 2*b + 2*b - 16. Suppose -5*a = -w + 15, 2 = 2*w + b*a - 0. Let i(s) = s**3 - 6*s**2 + 6*s. What is i(w)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -1 = -y, -3*y - 9 = -3*p - 0*p. Solve 15 = -p*m + m, 3*j + 40 = -5*m for j.\n' | b'-5\n' | b'Suppose -1 = -y, -3*y - 9 = -3*p - 0*p. Solve 15 = -p*m + m, 3*j + 40 = -5*m for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (q/q**(-7/3)*q)**(-1/48)/((q**(-3)/q)/(q*q**(7/6)*q)) assuming q is positive.\n' | b'q**(1019/144)\n' | b'Simplify (q/q**(-7/3)*q)**(-1/48)/((q**(-3)/q)/(q*q**(7/6)*q)) assuming q is positive.\n' | b'q**(1019/144)\n' | deepmind/math_dataset |
b'What is prob of sequence oqi when three letters picked without replacement from {v: 1, i: 2, o: 1, q: 3}?\n' | b'1/35\n' | b'What is prob of sequence oqi when three letters picked without replacement from {v: 1, i: 2, o: 1, q: 3}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify ((y/y**1)/y)**34*((y*((y**(-1/2)*y)/y)/y)/y)**(10/11) assuming y is positive.\n' | b'y**(-389/11)\n' | b'Simplify ((y/y**1)/y)**34*((y*((y**(-1/2)*y)/y)/y)/y)**(10/11) assuming y is positive.\n' | b'y**(-389/11)\n' | deepmind/math_dataset |
b'Simplify (w**(-13)*w/(w*w*w**(-1/9)))/(w**(1/4)/w*w*(w*w*w*w*w**(5/2))/w) assuming w is positive.\n' | b'w**(-707/36)\n' | b'Simplify (w**(-13)*w/(w*w*w**(-1/9)))/(w**(1/4)/w*w*(w*w*w*w*w**(5/2))/w) assuming w is positive.\n' | b'w**(-707/36)\n' | deepmind/math_dataset |
b'Let u(f) = -3*f + 1. Let o = 40 - 38. Suppose -o*d - 33 = -5*t, 20 + 20 = 4*t - 5*d. Let s be (0 - -10)*(t - 145/25). What is u(s)?\n' | b'25\n' | b'Let u(f) = -3*f + 1. Let o = 40 - 38. Suppose -o*d - 33 = -5*t, 20 + 20 = 4*t - 5*d. Let s be (0 - -10)*(t - 145/25). What is u(s)?\n' | b'25\n' | deepmind/math_dataset |
b'Let g(v) = 18*v - 224. Let k be g(13). Solve 0 = -6*d + 2*d - 4*w - 28, 0 = -4*d + 2*w - k for d.\n' | b'-4\n' | b'Let g(v) = 18*v - 224. Let k be g(13). Solve 0 = -6*d + 2*d - 4*w - 28, 0 = -4*d + 2*w - k for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaazkkiskaazkkid. What is prob of picking 2 a?\n' | b'1/12\n' | b'Two letters picked without replacement from aaazkkiskaazkkid. What is prob of picking 2 a?\n' | b'1/12\n' | deepmind/math_dataset |
b'What is prob of sequence ddu when three letters picked without replacement from didluipidpsi?\n' | b'1/220\n' | b'What is prob of sequence ddu when three letters picked without replacement from didluipidpsi?\n' | b'1/220\n' | deepmind/math_dataset |
b'Calculate prob of sequence ch when two letters picked without replacement from {c: 2, a: 4, h: 2}.\n' | b'1/14\n' | b'Calculate prob of sequence ch when two letters picked without replacement from {c: 2, a: 4, h: 2}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let j = 10 + -8. Let h(b) = -b**3 - b**2 + 4*b + 6. Let d(w) = -4*w + 118. Let g be d(30). Let z be h(g). Solve z*s + 12 = -j*i, -4*i + 9 + 7 = -4*s for i.\n' | b'-1\n' | b'Let j = 10 + -8. Let h(b) = -b**3 - b**2 + 4*b + 6. Let d(w) = -4*w + 118. Let g be d(30). Let z be h(g). Solve z*s + 12 = -j*i, -4*i + 9 + 7 = -4*s for i.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence ood when three letters picked without replacement from ozodozdzz?\n' | b'1/42\n' | b'What is prob of sequence ood when three letters picked without replacement from ozodozdzz?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 l when two letters picked without replacement from lullulllllllllllulll.\n' | b'51/190\n' | b'Calculate prob of picking 1 u and 1 l when two letters picked without replacement from lullulllllllllllulll.\n' | b'51/190\n' | deepmind/math_dataset |
b'Let f(t) be the third derivative of 25 + 0*t + 5/6*t**4 + t**2 - 65/6*t**3. Differentiate f(u) wrt u.\n' | b'20\n' | b'Let f(t) be the third derivative of 25 + 0*t + 5/6*t**4 + t**2 - 65/6*t**3. Differentiate f(u) wrt u.\n' | b'20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5, q: 2}. Give prob of picking 2 q.\n' | b'1/21\n' | b'Two letters picked without replacement from {v: 5, q: 2}. Give prob of picking 2 q.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence zh when two letters picked without replacement from hhyzzhdhhytzdhdtghy.\n' | b'7/114\n' | b'Calculate prob of sequence zh when two letters picked without replacement from hhyzzhdhhytzdhdtghy.\n' | b'7/114\n' | deepmind/math_dataset |
b'Let c be (-4)/(-16) + (-5)/4. Let s(l) be the second derivative of l**5/20 + l**4/6 + l**3/3 + l**2/2 + 2*l. What is s(c)?\n' | b'0\n' | b'Let c be (-4)/(-16) + (-5)/4. Let s(l) be the second derivative of l**5/20 + l**4/6 + l**3/3 + l**2/2 + 2*l. What is s(c)?\n' | b'0\n' | deepmind/math_dataset |
b'Let a(h) be the first derivative of h**4/4 - h**2/2 - 15. Let o(w) = w**3 - 4*w**2 - 4*w - 3. Let q be o(5). Give a(q).\n' | b'6\n' | b'Let a(h) be the first derivative of h**4/4 - h**2/2 - 15. Let o(w) = w**3 - 4*w**2 - 4*w - 3. Let q be o(5). Give a(q).\n' | b'6\n' | deepmind/math_dataset |
b'Let p = -22 + 13. Let u be 9/6*(-12)/p. Let k(f) = 3*f**2 + f. Let v be k(-2). Solve 2*b + 4*z + 2 = 0, 5*z + v = -2*b - u*b for b.\n' | b'-5\n' | b'Let p = -22 + 13. Let u be 9/6*(-12)/p. Let k(f) = 3*f**2 + f. Let v be k(-2). Solve 2*b + 4*z + 2 = 0, 5*z + v = -2*b - u*b for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r be (48/(-30))/((-2)/5). Suppose r = i + i. Solve -3*l + i*y + 4 = 0, -4*l - l - y = 2 for l.\n' | b'0\n' | b'Let r be (48/(-30))/((-2)/5). Suppose r = i + i. Solve -3*l + i*y + 4 = 0, -4*l - l - y = 2 for l.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence dm when two letters picked without replacement from hmhdhsssihdshsdddrdm?\n' | b'3/95\n' | b'What is prob of sequence dm when two letters picked without replacement from hmhdhsssihdshsdddrdm?\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify b**(2/7)*(b/(b**20*b))/b assuming b is positive.\n' | b'b**(-145/7)\n' | b'Simplify b**(2/7)*(b/(b**20*b))/b assuming b is positive.\n' | b'b**(-145/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, r: 3, o: 1, x: 10, w: 2}. What is prob of picking 3 r?\n' | b'1/969\n' | b'Three letters picked without replacement from {m: 3, r: 3, o: 1, x: 10, w: 2}. What is prob of picking 3 r?\n' | b'1/969\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, e: 2, w: 3, p: 3, q: 1, b: 1}.\n' | b'1/55\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, e: 2, w: 3, p: 3, q: 1, b: 1}.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let y(w) be the second derivative of 0*w**2 + 1/2*w**4 - 1/14*w**7 + 0*w**3 + 5*w + 0 + 0*w**5 + 0*w**6. What is the third derivative of y(m) wrt m?\n' | b'-180*m**2\n' | b'Let y(w) be the second derivative of 0*w**2 + 1/2*w**4 - 1/14*w**7 + 0*w**3 + 5*w + 0 + 0*w**5 + 0*w**6. What is the third derivative of y(m) wrt m?\n' | b'-180*m**2\n' | deepmind/math_dataset |
b'Let o(b) = b**2 - 28*b - 2. Let x be o(25). Let u be x/14*8*3/(-66). Solve 0 = -m - 5*j + 9, -3*j = -2*j - u for m.\n' | b'-1\n' | b'Let o(b) = b**2 - 28*b - 2. Let x be o(25). Let u be x/14*8*3/(-66). Solve 0 = -m - 5*j + 9, -3*j = -2*j - u for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let t = 225 - 90. Find the second derivative of 26*u**4 + 2*u + 2*u + 18 + 2*u - t*u**4 wrt u.\n' | b'-1308*u**2\n' | b'Let t = 225 - 90. Find the second derivative of 26*u**4 + 2*u + 2*u + 18 + 2*u - t*u**4 wrt u.\n' | b'-1308*u**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from svbcsfa. What is prob of sequence ba?\n' | b'1/42\n' | b'Two letters picked without replacement from svbcsfa. What is prob of sequence ba?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnqq when four letters picked without replacement from ttqiqinn.\n' | b'1/420\n' | b'Calculate prob of sequence nnqq when four letters picked without replacement from ttqiqinn.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let q(d) be the first derivative of -4*d**6/3 - 3*d**4/4 + 9*d**2/2 - 42. Find the second derivative of q(v) wrt v.\n' | b'-160*v**3 - 18*v\n' | b'Let q(d) be the first derivative of -4*d**6/3 - 3*d**4/4 + 9*d**2/2 - 42. Find the second derivative of q(v) wrt v.\n' | b'-160*v**3 - 18*v\n' | deepmind/math_dataset |
b'Let b be (-16)/(-12)*(-18)/4. Let v(i) = -26*i**4 + 13*i + 7. Let d(y) = -13*y**4 + 6*y + 4. Let z(w) = b*v(w) + 13*d(w). What is the derivative of z(n) wrt n?\n' | b'-52*n**3\n' | b'Let b be (-16)/(-12)*(-18)/4. Let v(i) = -26*i**4 + 13*i + 7. Let d(y) = -13*y**4 + 6*y + 4. Let z(w) = b*v(w) + 13*d(w). What is the derivative of z(n) wrt n?\n' | b'-52*n**3\n' | deepmind/math_dataset |
b'Let p(c) = -8*c - 4. Let v be p(-3). Suppose 0 = -25*z + 210 + 40. Suppose 5*i + 5*m = z, 4*i = 7*m - 2*m + 35. Solve 2*r - 7*r + v = -i*b, b + r = 0 for b.\n' | b'-2\n' | b'Let p(c) = -8*c - 4. Let v be p(-3). Suppose 0 = -25*z + 210 + 40. Suppose 5*i + 5*m = z, 4*i = 7*m - 2*m + 35. Solve 2*r - 7*r + v = -i*b, b + r = 0 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 c when two letters picked without replacement from brhbohrohbocbrboro?\n' | b'5/153\n' | b'What is prob of picking 1 o and 1 c when two letters picked without replacement from brhbohrohbocbrboro?\n' | b'5/153\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 q, 1 b, and 1 a when four letters picked without replacement from qauqacoooqb?\n' | b'1/55\n' | b'What is prob of picking 1 c, 1 q, 1 b, and 1 a when four letters picked without replacement from qauqacoooqb?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let o(m) = -2*m**2 + 0*m**2 - 2*m**2. Let u(r) = r**3 - 7*r**2 + 33*r - 163. Let f be u(6). Give o(f).\n' | b'-4\n' | b'Let o(m) = -2*m**2 + 0*m**2 - 2*m**2. Let u(r) = r**3 - 7*r**2 + 33*r - 163. Let f be u(6). Give o(f).\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(m) = m**2 - 8*m + 3. Let n be p(8). Suppose 3*i = 6*i - n, 0 = 3*f - 2*i + 20. Let s(b) = -b**3 - 5*b**2 + 6*b - 6. What is s(f)?\n' | b'-6\n' | b'Let p(m) = m**2 - 8*m + 3. Let n be p(8). Suppose 3*i = 6*i - n, 0 = 3*f - 2*i + 20. Let s(b) = -b**3 - 5*b**2 + 6*b - 6. What is s(f)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 i when two letters picked without replacement from fvfflddfivfvff?\n' | b'1/91\n' | b'What is prob of picking 1 l and 1 i when two letters picked without replacement from fvfflddfivfvff?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let z(o) = -o**3 + 3*o**2 + 12*o - 9. Let j(p) = p**3 - p**2 - 12*p + 10. Let m(c) = 4*j(c) + 5*z(c). Calculate m(12).\n' | b'-5\n' | b'Let z(o) = -o**3 + 3*o**2 + 12*o - 9. Let j(p) = p**3 - p**2 - 12*p + 10. Let m(c) = 4*j(c) + 5*z(c). Calculate m(12).\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(i) be the third derivative of -3*i**5/5 - i**4/12 - 2*i**3/3 + 60*i**2. Find the second derivative of g(h) wrt h.\n' | b'-72\n' | b'Let g(i) be the third derivative of -3*i**5/5 - i**4/12 - 2*i**3/3 + 60*i**2. Find the second derivative of g(h) wrt h.\n' | b'-72\n' | deepmind/math_dataset |
b'Let c = 9 - 7. What is the derivative of 0 - 2*r**c - 4 + 5 - 4 wrt r?\n' | b'-4*r\n' | b'Let c = 9 - 7. What is the derivative of 0 - 2*r**c - 4 + 5 - 4 wrt r?\n' | b'-4*r\n' | deepmind/math_dataset |
b'Let i be ((-12)/9)/((-20)/(-12) - 2). Solve 5*a + 2*v - 3*v = 0, 0 = -i*a - 4*v + 24 for a.\n' | b'1\n' | b'Let i be ((-12)/9)/((-20)/(-12) - 2). Solve 5*a + 2*v - 3*v = 0, 0 = -i*a - 4*v + 24 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((z**5/z*z**(-1/8))/(z*z/(z*(z/((z/z**(1/3))/z))/z*z*z))**(1/39))**(7/2) assuming z is positive.\n' | b'z**(25613/1872)\n' | b'Simplify ((z**5/z*z**(-1/8))/(z*z/(z*(z/((z/z**(1/3))/z))/z*z*z))**(1/39))**(7/2) assuming z is positive.\n' | b'z**(25613/1872)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {s: 2, k: 2, g: 1, t: 1}.\n' | b'2/15\n' | b'Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {s: 2, k: 2, g: 1, t: 1}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let q be ((-4)/(-6))/((-14)/(-252)). Let v = q + -7. Let x(h) = 7*h + 12. Let t(k) = 6*k + 10. Let d(n) = v*x(n) - 6*t(n). Give d(-4).\n' | b'4\n' | b'Let q be ((-4)/(-6))/((-14)/(-252)). Let v = q + -7. Let x(h) = 7*h + 12. Let t(k) = 6*k + 10. Let d(n) = v*x(n) - 6*t(n). Give d(-4).\n' | b'4\n' | deepmind/math_dataset |
b'Let w(s) be the first derivative of 2 + 0*s**3 - 3/2*s**2 - 1/2*s**4 + 0*s. What is the second derivative of w(t) wrt t?\n' | b'-12*t\n' | b'Let w(s) be the first derivative of 2 + 0*s**3 - 3/2*s**2 - 1/2*s**4 + 0*s. What is the second derivative of w(t) wrt t?\n' | b'-12*t\n' | deepmind/math_dataset |
b'Simplify (d**9*d/(((d*d/(d*d*d*d**2))/d)/d*d*d))**(-10/11)/(d**(-1/7)*d**(4/7)*d)**31 assuming d is positive.\n' | b'd**(-4320/77)\n' | b'Simplify (d**9*d/(((d*d/(d*d*d*d**2))/d)/d*d*d))**(-10/11)/(d**(-1/7)*d**(4/7)*d)**31 assuming d is positive.\n' | b'd**(-4320/77)\n' | deepmind/math_dataset |
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