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 p(x) be the third derivative of x**8/336 - 5*x**6/24 + 56*x**5/15 - 361*x**2. Find the third derivative of p(m) wrt m.\n' | b'60*m**2 - 150\n' | b'Let p(x) be the third derivative of x**8/336 - 5*x**6/24 + 56*x**5/15 - 361*x**2. Find the third derivative of p(m) wrt m.\n' | b'60*m**2 - 150\n' | deepmind/math_dataset |
b'Suppose -v - f = -1, -v = -6*f + 4*f - 7. Solve 7*r - v*r = -3*k + 13, -5*k - 9 = -r for r.\n' | b'4\n' | b'Suppose -v - f = -1, -v = -6*f + 4*f - 7. Solve 7*r - v*r = -3*k + 13, -5*k - 9 = -r for r.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 3, r: 2, f: 1, w: 2, t: 3, i: 1}. What is prob of picking 1 i, 1 w, and 1 r?\n' | b'1/55\n' | b'Three letters picked without replacement from {x: 3, r: 2, f: 1, w: 2, t: 3, i: 1}. What is prob of picking 1 i, 1 w, and 1 r?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let u = 23 + -23. Suppose 3 = -j - o, 4*o + 14 + 6 = u. What is the second derivative of -12*y - 2*y**2 + j*y**2 - 8*y**3 + 11*y wrt y?\n' | b'-48*y\n' | b'Let u = 23 + -23. Suppose 3 = -j - o, 4*o + 14 + 6 = u. What is the second derivative of -12*y - 2*y**2 + j*y**2 - 8*y**3 + 11*y wrt y?\n' | b'-48*y\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 1 o when three letters picked without replacement from fvvvffvvoff?\n' | b'2/33\n' | b'What is prob of picking 2 v and 1 o when three letters picked without replacement from fvvvffvvoff?\n' | b'2/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, k: 1, e: 8, x: 2, b: 1, g: 1}. What is prob of sequence xss?\n' | b'2/1365\n' | b'Three letters picked without replacement from {s: 2, k: 1, e: 8, x: 2, b: 1, g: 1}. What is prob of sequence xss?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Let n(s) be the second derivative of 2 + 2*s**2 - 9*s + 1/15*s**6 - 2*s**3 - 9/10*s**5 + 0*s**4. What is the second derivative of n(b) wrt b?\n' | b'24*b**2 - 108*b\n' | b'Let n(s) be the second derivative of 2 + 2*s**2 - 9*s + 1/15*s**6 - 2*s**3 - 9/10*s**5 + 0*s**4. What is the second derivative of n(b) wrt b?\n' | b'24*b**2 - 108*b\n' | deepmind/math_dataset |
b'Suppose 0 = -5*l + 4*x - 6, 0*l + 5*x - 18 = l. Solve -l*g + 3*i = i - 8, -5*i = g + 8 for g.\n' | b'2\n' | b'Suppose 0 = -5*l + 4*x - 6, 0*l + 5*x - 18 = l. Solve -l*g + 3*i = i - 8, -5*i = g + 8 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = 24*h - 22*h - 10. Suppose h = -d + 12. Let i(m) = -m**2 + 6*m. Calculate i(d).\n' | b'-7\n' | b'Suppose 0 = 24*h - 22*h - 10. Suppose h = -d + 12. Let i(m) = -m**2 + 6*m. Calculate i(d).\n' | b'-7\n' | deepmind/math_dataset |
b'Let q(y) be the second derivative of -y**3/3 + 4*y**2 + 29*y + 5. What is q(-6)?\n' | b'20\n' | b'Let q(y) be the second derivative of -y**3/3 + 4*y**2 + 29*y + 5. What is q(-6)?\n' | b'20\n' | deepmind/math_dataset |
b'Calculate prob of sequence wt when two letters picked without replacement from {t: 3, u: 5, w: 1, m: 3}.\n' | b'1/44\n' | b'Calculate prob of sequence wt when two letters picked without replacement from {t: 3, u: 5, w: 1, m: 3}.\n' | b'1/44\n' | deepmind/math_dataset |
b'Let o(h) = -3*h - 9. Suppose 5*x - 10*x + 4*v - 67 = 0, -4*x = -v + 47. Determine o(x).\n' | b'24\n' | b'Let o(h) = -3*h - 9. Suppose 5*x - 10*x + 4*v - 67 = 0, -4*x = -v + 47. Determine o(x).\n' | b'24\n' | deepmind/math_dataset |
b'Let u(y) be the second derivative of -y**5/30 + y**4/8 - 2*y**3/3 - 53*y**2/2 - 79*y. Let t(k) be the first derivative of u(k). What is t(3)?\n' | b'-13\n' | b'Let u(y) be the second derivative of -y**5/30 + y**4/8 - 2*y**3/3 - 53*y**2/2 - 79*y. Let t(k) be the first derivative of u(k). What is t(3)?\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jvjvy. Give prob of picking 2 y.\n' | b'0\n' | b'Two letters picked without replacement from jvjvy. Give prob of picking 2 y.\n' | b'0\n' | deepmind/math_dataset |
b'Let d = 145 - 77. What is the derivative of -31 + d - 30*s - 30 wrt s?\n' | b'-30\n' | b'Let d = 145 - 77. What is the derivative of -31 + d - 30*s - 30 wrt s?\n' | b'-30\n' | deepmind/math_dataset |
b'Let o(c) = -10*c - 5*c + 5*c**2 + 10 + c**3 + 0*c**2. Let i be o(-7). What is the second derivative of -34*s + 19*s - i*s**3 + s**3 wrt s?\n' | b'-96*s\n' | b'Let o(c) = -10*c - 5*c + 5*c**2 + 10 + c**3 + 0*c**2. Let i be o(-7). What is the second derivative of -34*s + 19*s - i*s**3 + s**3 wrt s?\n' | b'-96*s\n' | deepmind/math_dataset |
b'Simplify ((c*c**0)**(-3/11)*c/c**8*c**(4/9)*c)/((c**(-4)*c**(3/4)*c*c)/(c/(c/((c**(-2)*c)/c*c)))**(-2/47)) assuming c is positive.\n' | b'c**(-84419/18612)\n' | b'Simplify ((c*c**0)**(-3/11)*c/c**8*c**(4/9)*c)/((c**(-4)*c**(3/4)*c*c)/(c/(c/((c**(-2)*c)/c*c)))**(-2/47)) assuming c is positive.\n' | b'c**(-84419/18612)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 4, n: 1, t: 5}. Give prob of picking 1 n and 1 t.\n' | b'1/9\n' | b'Two letters picked without replacement from {m: 4, n: 1, t: 5}. Give prob of picking 1 n and 1 t.\n' | b'1/9\n' | deepmind/math_dataset |
b'Suppose 0 = -m - 22 - 28. Let b = m - -84. Solve -3*g - 3 = -3*u - 9, 5*g - b = -3*u for u.\n' | b'3\n' | b'Suppose 0 = -m - 22 - 28. Let b = m - -84. Solve -3*g - 3 = -3*u - 9, 5*g - b = -3*u for u.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, l: 1, z: 4, q: 3}. Give prob of picking 1 r, 1 l, and 1 z.\n' | b'4/55\n' | b'Three letters picked without replacement from {r: 3, l: 1, z: 4, q: 3}. Give prob of picking 1 r, 1 l, and 1 z.\n' | b'4/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 11, i: 5}. Give prob of sequence ii.\n' | b'1/12\n' | b'Two letters picked without replacement from {m: 11, i: 5}. Give prob of sequence ii.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let u(n) = -3*n**3 + 5*n - 4. Let p(s) = s**3 - s**2 - s. Let q(r) = 4*p(r) + u(r). Suppose -394*y + 399*y = 15. What is q(y)?\n' | b'-10\n' | b'Let u(n) = -3*n**3 + 5*n - 4. Let p(s) = s**3 - s**2 - s. Let q(r) = 4*p(r) + u(r). Suppose -394*y + 399*y = 15. What is q(y)?\n' | b'-10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.\n' | b'1\n' | b'Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 5, x: 8}. Give prob of picking 4 m.\n' | b'1/143\n' | b'Four letters picked without replacement from {m: 5, x: 8}. Give prob of picking 4 m.\n' | b'1/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, l: 1, u: 1, o: 1, a: 2, h: 1}. What is prob of sequence uk?\n' | b'1/28\n' | b'Two letters picked without replacement from {k: 2, l: 1, u: 1, o: 1, a: 2, h: 1}. What is prob of sequence uk?\n' | b'1/28\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjnnjnhjhhh. What is prob of sequence jhhh?\n' | b'2/165\n' | b'Four letters picked without replacement from jjnnjnhjhhh. What is prob of sequence jhhh?\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose 3*n - 4 = 2*n. Find the first derivative of 625*k**2 + 3 - 625*k**2 + 9*k**n wrt k.\n' | b'36*k**3\n' | b'Suppose 3*n - 4 = 2*n. Find the first derivative of 625*k**2 + 3 - 625*k**2 + 9*k**n wrt k.\n' | b'36*k**3\n' | deepmind/math_dataset |
b'What is prob of sequence srs when three letters picked without replacement from sssssssrssss?\n' | b'1/12\n' | b'What is prob of sequence srs when three letters picked without replacement from sssssssrssss?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let j(l) = l**2 - 14*l - 46. Let b be j(-3). Solve -b*d - 3*c - 2*c - 35 = 0, -5*d - 4*c - 32 = 0 for d.\n' | b'-4\n' | b'Let j(l) = l**2 - 14*l - 46. Let b be j(-3). Solve -b*d - 3*c - 2*c - 35 = 0, -5*d - 4*c - 32 = 0 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(s) be the third derivative of 0*s**6 - 1/168*s**8 + 0*s + 0*s**7 + 0*s**4 - 1/60*s**5 + 0 + s**2 + 0*s**3. Find the third derivative of p(n) wrt n.\n' | b'-120*n**2\n' | b'Let p(s) be the third derivative of 0*s**6 - 1/168*s**8 + 0*s + 0*s**7 + 0*s**4 - 1/60*s**5 + 0 + s**2 + 0*s**3. Find the third derivative of p(n) wrt n.\n' | b'-120*n**2\n' | deepmind/math_dataset |
b'Simplify (j*j*j**(3/7))**4/(j/j**(4/3)*j*j*j*j**(16/5)) assuming j is positive.\n' | b'j**(404/105)\n' | b'Simplify (j*j*j**(3/7))**4/(j/j**(4/3)*j*j*j*j**(16/5)) assuming j is positive.\n' | b'j**(404/105)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ojaoooojoooojoja. What is prob of picking 2 j and 1 a?\n' | b'3/140\n' | b'Three letters picked without replacement from ojaoooojoooojoja. What is prob of picking 2 j and 1 a?\n' | b'3/140\n' | deepmind/math_dataset |
b'Let n = 41 + -37. What is the second derivative of 0*x - 31*x**4 + 27*x**n + 12*x wrt x?\n' | b'-48*x**2\n' | b'Let n = 41 + -37. What is the second derivative of 0*x - 31*x**4 + 27*x**n + 12*x wrt x?\n' | b'-48*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence pz when two letters picked without replacement from {p: 1, z: 3}.\n' | b'1/4\n' | b'Calculate prob of sequence pz when two letters picked without replacement from {p: 1, z: 3}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Calculate prob of sequence uwwu when four letters picked without replacement from {f: 3, w: 1, u: 3}.\n' | b'0\n' | b'Calculate prob of sequence uwwu when four letters picked without replacement from {f: 3, w: 1, u: 3}.\n' | b'0\n' | deepmind/math_dataset |
b'Let o be (-4)/(-8) - 34/4. Let h be o*((-8)/(-4) + -1). Let i = -3 - h. Solve 0 = 5*w + 4*n + 36 - 14, n = -w - i for w.\n' | b'-2\n' | b'Let o be (-4)/(-8) - 34/4. Let h be o*((-8)/(-4) + -1). Let i = -3 - h. Solve 0 = 5*w + 4*n + 36 - 14, n = -w - i for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(x) = -x**3 + 7*x**2 + x + 7. Let i be h(7). Suppose 5*t = -2*t + i. What is the first derivative of -8 - 5*q**3 - 4*q**3 - 2*q**t + 2*q**2 wrt q?\n' | b'-27*q**2\n' | b'Let h(x) = -x**3 + 7*x**2 + x + 7. Let i be h(7). Suppose 5*t = -2*t + i. What is the first derivative of -8 - 5*q**3 - 4*q**3 - 2*q**t + 2*q**2 wrt q?\n' | b'-27*q**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence gy when two letters picked without replacement from {g: 1, f: 1, y: 2, v: 1}.\n' | b'1/10\n' | b'Calculate prob of sequence gy when two letters picked without replacement from {g: 1, f: 1, y: 2, v: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(i) be the second derivative of 1/2*i**2 + 19*i + 5/6*i**4 + 0 + 1/2*i**3 + 0*i**5 - 1/30*i**6. Find the second derivative of c(o) wrt o.\n' | b'-12*o**2 + 20\n' | b'Let c(i) be the second derivative of 1/2*i**2 + 19*i + 5/6*i**4 + 0 + 1/2*i**3 + 0*i**5 - 1/30*i**6. Find the second derivative of c(o) wrt o.\n' | b'-12*o**2 + 20\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 1 u when three letters picked without replacement from {c: 1, u: 4, j: 3, k: 6}?\n' | b'3/91\n' | b'What is prob of picking 2 j and 1 u when three letters picked without replacement from {c: 1, u: 4, j: 3, k: 6}?\n' | b'3/91\n' | deepmind/math_dataset |
b'Suppose -q + 473 = -32*t + 35*t, -2*q = -2*t + 294. Solve 150*i = t*i - 2*m + 23, 4*i = 2*m - 20 for i.\n' | b'-3\n' | b'Suppose -q + 473 = -32*t + 35*t, -2*q = -2*t + 294. Solve 150*i = t*i - 2*m + 23, 4*i = 2*m - 20 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gqqggqqqqqgqgggq. Give prob of picking 4 q.\n' | b'9/130\n' | b'Four letters picked without replacement from gqqggqqqqqgqgggq. Give prob of picking 4 q.\n' | b'9/130\n' | deepmind/math_dataset |
b'Let t(y) = y**2 - 6*y - 1. Suppose -5*g = 21 - 1. Let c be -2*(-2)/g - -4. Let z be -3 + c - (-16)/4. Determine t(z).\n' | b'-9\n' | b'Let t(y) = y**2 - 6*y - 1. Suppose -5*g = 21 - 1. Let c be -2*(-2)/g - -4. Let z be -3 + c - (-16)/4. Determine t(z).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 3*y + 1 = -2*r, -y + 6*y + 8 = 3*r. Let g(s) = r - s - 1 + 5. Let j be g(11). Let i(h) = -3*h - 7. Determine i(j).\n' | b'11\n' | b'Suppose 3*y + 1 = -2*r, -y + 6*y + 8 = 3*r. Let g(s) = r - s - 1 + 5. Let j be g(11). Let i(h) = -3*h - 7. Determine i(j).\n' | b'11\n' | deepmind/math_dataset |
b'What is the second derivative of 100 + w - 17 + 5*w**5 + 47*w**5 + w**5 - 18*w**5 wrt w?\n' | b'700*w**3\n' | b'What is the second derivative of 100 + w - 17 + 5*w**5 + 47*w**5 + w**5 - 18*w**5 wrt w?\n' | b'700*w**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tjkox. What is prob of picking 1 x, 1 t, 1 k, and 1 j?\n' | b'1/5\n' | b'Four letters picked without replacement from tjkox. What is prob of picking 1 x, 1 t, 1 k, and 1 j?\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kccctkcttcckk. Give prob of sequence kckt.\n' | b'9/715\n' | b'Four letters picked without replacement from kccctkcttcckk. Give prob of sequence kckt.\n' | b'9/715\n' | deepmind/math_dataset |
b'Let k be -4 + (0 - 2) + 1. Let y(z) be the second derivative of -z**4/12 - z**3/3 + z**2/2 - 4*z - 5. Determine y(k).\n' | b'-14\n' | b'Let k be -4 + (0 - 2) + 1. Let y(z) be the second derivative of -z**4/12 - z**3/3 + z**2/2 - 4*z - 5. Determine y(k).\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -2*f - 7 = -15. Solve 5*l - f*g = 0, -2*l - g = 2*l + 21 for l.\n' | b'-4\n' | b'Suppose -2*f - 7 = -15. Solve 5*l - f*g = 0, -2*l - g = 2*l + 21 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*d = -5*d + 18. Let u = 34 + -21. Let r = u - d. Solve r*f - h = 19, 0 = -4*h + 5*h - 1 for f.\n' | b'5\n' | b'Suppose -3*d = -5*d + 18. Let u = 34 + -21. Let r = u - d. Solve r*f - h = 19, 0 = -4*h + 5*h - 1 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(m) = 17*m**3 + 122*m**2 - 81*m + 13. Let i(u) = -u**3 + 2*u**2 + 2*u - 1. Let f(y) = -11*i(y) - k(y). What is the second derivative of f(o) wrt o?\n' | b'-36*o - 288\n' | b'Let k(m) = 17*m**3 + 122*m**2 - 81*m + 13. Let i(u) = -u**3 + 2*u**2 + 2*u - 1. Let f(y) = -11*i(y) - k(y). What is the second derivative of f(o) wrt o?\n' | b'-36*o - 288\n' | deepmind/math_dataset |
b'Simplify x**9*x*x**(-1/2) assuming x is positive.\n' | b'x**(19/2)\n' | b'Simplify x**9*x*x**(-1/2) assuming x is positive.\n' | b'x**(19/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, l: 1, m: 1, v: 1, e: 1}. Give prob of picking 1 v and 1 e.\n' | b'1/10\n' | b'Two letters picked without replacement from {c: 1, l: 1, m: 1, v: 1, e: 1}. Give prob of picking 1 v and 1 e.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let l(h) = -h + 2. Let m be l(2). Suppose -2*k = -m*k - 10. Solve -2*o + k = 3*o, 2*b + o = -1 for b.\n' | b'-1\n' | b'Let l(h) = -h + 2. Let m be l(2). Suppose -2*k = -m*k - 10. Solve -2*o + k = 3*o, 2*b + o = -1 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 z, and 1 x when three letters picked without replacement from ooozixooioxz.\n' | b'2/55\n' | b'Calculate prob of picking 1 i, 1 z, and 1 x when three letters picked without replacement from ooozixooioxz.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let o = -30 - -61. Let j = o - 27. Differentiate 0*n - 10 - 3*n + 3 - j*n wrt n.\n' | b'-7\n' | b'Let o = -30 - -61. Let j = o - 27. Differentiate 0*n - 10 - 3*n + 3 - j*n wrt n.\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of sequence atga when four letters picked without replacement from {a: 3, g: 3, o: 2, t: 3, m: 2}?\n' | b'9/2860\n' | b'What is prob of sequence atga when four letters picked without replacement from {a: 3, g: 3, o: 2, t: 3, m: 2}?\n' | b'9/2860\n' | deepmind/math_dataset |
b'What is prob of picking 1 j, 1 k, 1 w, and 1 y when four letters picked without replacement from {w: 2, k: 2, j: 1, y: 1}?\n' | b'4/15\n' | b'What is prob of picking 1 j, 1 k, 1 w, and 1 y when four letters picked without replacement from {w: 2, k: 2, j: 1, y: 1}?\n' | b'4/15\n' | deepmind/math_dataset |
b'Let z be (-4 + (-28)/(-6))*6. Let y(a) = 2*a - 5. Give y(z).\n' | b'3\n' | b'Let z be (-4 + (-28)/(-6))*6. Let y(a) = 2*a - 5. Give y(z).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -o = -4*o - 201*o. Solve -m + 50 = 5*r + 43, -5*m - 4*r - 7 = o for m.\n' | b'-3\n' | b'Suppose -o = -4*o - 201*o. Solve -m + 50 = 5*r + 43, -5*m - 4*r - 7 = o for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -3*f + 5*u - 35, -4*f - 4 = 3*u + u. Let c(y) = -y**3 - 4*y**2 + 6*y + 1. What is c(f)?\n' | b'-4\n' | b'Suppose 0 = -3*f + 5*u - 35, -4*f - 4 = 3*u + u. Let c(y) = -y**3 - 4*y**2 + 6*y + 1. What is c(f)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify v/(v*v**(-9)*v)*v*v*v**(-4/3)*(v/((v**(-11/4)*v)/v))/v**(-2/77) assuming v is positive.\n' | b'v**(11497/924)\n' | b'Simplify v/(v*v**(-9)*v)*v*v*v**(-4/3)*(v/((v**(-11/4)*v)/v))/v**(-2/77) assuming v is positive.\n' | b'v**(11497/924)\n' | deepmind/math_dataset |
b'Suppose 4*j = -r, 2*r - 7*r = -4*j. Let i be (r - 18)*(-4)/6. Suppose p - i = -3*p. Let q(o) = o**3 - 5*o**2 + 4*o - 2. Calculate q(p).\n' | b'-8\n' | b'Suppose 4*j = -r, 2*r - 7*r = -4*j. Let i be (r - 18)*(-4)/6. Suppose p - i = -3*p. Let q(o) = o**3 - 5*o**2 + 4*o - 2. Calculate q(p).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiufjquuzjqfqqjuuuij. Give prob of picking 2 i, 1 j, and 1 q.\n' | b'16/1615\n' | b'Four letters picked without replacement from iiufjquuzjqfqqjuuuij. Give prob of picking 2 i, 1 j, and 1 q.\n' | b'16/1615\n' | deepmind/math_dataset |
b'Simplify (((i/i**0*i*i*i/i**(-13)*i)**7)**(-14))**(-2/65) assuming i is positive.\n' | b'i**(3528/65)\n' | b'Simplify (((i/i**0*i*i*i/i**(-13)*i)**7)**(-14))**(-2/65) assuming i is positive.\n' | b'i**(3528/65)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 r and 1 v when four letters picked without replacement from mqmqvrtqmmwqwmqqqrwq.\n' | b'0\n' | b'Calculate prob of picking 3 r and 1 v when four letters picked without replacement from mqmqvrtqmmwqwmqqqrwq.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(q) be the first derivative of -788*q**5/5 + 3333*q + 2703. Differentiate r(a) with respect to a.\n' | b'-3152*a**3\n' | b'Let r(q) be the first derivative of -788*q**5/5 + 3333*q + 2703. Differentiate r(a) with respect to a.\n' | b'-3152*a**3\n' | deepmind/math_dataset |
b'Let a(x) = -x**3 - x + 4. Let h(n) = 3*n**3 - 13*n**2 + 5*n - 3. Let w(f) = 4*a(f) + h(f). Suppose -4*p + 59 = -3*y, 9 = -4*p + 29. What is w(y)?\n' | b'0\n' | b'Let a(x) = -x**3 - x + 4. Let h(n) = 3*n**3 - 13*n**2 + 5*n - 3. Let w(f) = 4*a(f) + h(f). Suppose -4*p + 59 = -3*y, 9 = -4*p + 29. What is w(y)?\n' | b'0\n' | deepmind/math_dataset |
b'Let v(q) = -q**2 - 5*q + 1. Let x be (6/(-3))/2 - (-20)/(-5). Determine v(x).\n' | b'1\n' | b'Let v(q) = -q**2 - 5*q + 1. Let x be (6/(-3))/2 - (-20)/(-5). Determine v(x).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((a/(a/(a*(a/(a/((a**(-1/18)/a)/a)))/a)))/(a/(a**(-1/17)*a)*a))/(a**7/a**(-3)))**20 assuming a is positive.\n' | b'a**(-40130/153)\n' | b'Simplify (((a/(a/(a*(a/(a/((a**(-1/18)/a)/a)))/a)))/(a/(a**(-1/17)*a)*a))/(a**7/a**(-3)))**20 assuming a is positive.\n' | b'a**(-40130/153)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from pppppyypp.\n' | b'1/36\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from pppppyypp.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let m be -3 + 6 - 4 - -6. Let u be (m - 3/(-3)) + -3. Solve 3*v = -2*q - u, 4*q = 5*v - 2*v - 15 for q.\n' | b'-3\n' | b'Let m be -3 + 6 - 4 - -6. Let u be (m - 3/(-3)) + -3. Solve 3*v = -2*q - u, 4*q = 5*v - 2*v - 15 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 f when two letters picked without replacement from fuuuwwfwwwufffvefw?\n' | b'4/17\n' | b'What is prob of picking 1 w and 1 f when two letters picked without replacement from fuuuwwfwwwufffvefw?\n' | b'4/17\n' | deepmind/math_dataset |
b'Simplify b**(4/5)*b*b**(-10)*b*((b*b**(3/4))/b)/(b/b**3) assuming b is positive.\n' | b'b**(-89/20)\n' | b'Simplify b**(4/5)*b*b**(-10)*b*((b*b**(3/4))/b)/(b/b**3) assuming b is positive.\n' | b'b**(-89/20)\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 3 f when four letters picked without replacement from {w: 1, f: 6, b: 6, t: 4, d: 1}?\n' | b'1/153\n' | b'What is prob of picking 1 d and 3 f when four letters picked without replacement from {w: 1, f: 6, b: 6, t: 4, d: 1}?\n' | b'1/153\n' | deepmind/math_dataset |
b'Let b(l) be the first derivative of 0*l**3 + 0*l**5 + 5/6*l**6 - 2 + 0*l**4 + l**2 + 0*l. Find the second derivative of b(s) wrt s.\n' | b'100*s**3\n' | b'Let b(l) be the first derivative of 0*l**3 + 0*l**5 + 5/6*l**6 - 2 + 0*l**4 + l**2 + 0*l. Find the second derivative of b(s) wrt s.\n' | b'100*s**3\n' | deepmind/math_dataset |
b'Let q(b) be the first derivative of -8117*b**6/6 + 4*b**3/3 - b**2 - 112*b - 2818. What is the third derivative of q(o) wrt o?\n' | b'-487020*o**2\n' | b'Let q(b) be the first derivative of -8117*b**6/6 + 4*b**3/3 - b**2 - 112*b - 2818. What is the third derivative of q(o) wrt o?\n' | b'-487020*o**2\n' | deepmind/math_dataset |
b'Let t(j) = -j**3 + 3*j**2 + 4. Let s be t(3). Suppose 2*m + s = 14. Find the second derivative of -3*f + 6*f**2 + 4*f**m - 6*f**2 wrt f.\n' | b'80*f**3\n' | b'Let t(j) = -j**3 + 3*j**2 + 4. Let s be t(3). Suppose 2*m + s = 14. Find the second derivative of -3*f + 6*f**2 + 4*f**m - 6*f**2 wrt f.\n' | b'80*f**3\n' | deepmind/math_dataset |
b'Let m(v) = -18*v**2 + 6*v - 3. Let z(w) = 18*w**2 - 5*w + 4. Let i(k) = -5*m(k) - 6*z(k). Differentiate i(n) wrt n.\n' | b'-36*n\n' | b'Let m(v) = -18*v**2 + 6*v - 3. Let z(w) = 18*w**2 - 5*w + 4. Let i(k) = -5*m(k) - 6*z(k). Differentiate i(n) wrt n.\n' | b'-36*n\n' | deepmind/math_dataset |
b'Let p = 187 + -190. Let j(d) = d**3 - d**2 + d + 1. Let k(n) = -2*n**3 + 3*n**2 - 6*n. Let h(y) = p*j(y) - k(y). Calculate h(2).\n' | b'-5\n' | b'Let p = 187 + -190. Let j(d) = d**3 - d**2 + d + 1. Let k(n) = -2*n**3 + 3*n**2 - 6*n. Let h(y) = p*j(y) - k(y). Calculate h(2).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (b**4/b*b*b**(-2/3)/b)**(1/6)/((b**3)**(38/5))**(-2/5) assuming b is positive.\n' | b'b**(4279/450)\n' | b'Simplify (b**4/b*b*b**(-2/3)/b)**(1/6)/((b**3)**(38/5))**(-2/5) assuming b is positive.\n' | b'b**(4279/450)\n' | deepmind/math_dataset |
b'Simplify (w**(1/2)*w**12)**(-2/15) assuming w is positive.\n' | b'w**(-5/3)\n' | b'Simplify (w**(1/2)*w**12)**(-2/15) assuming w is positive.\n' | b'w**(-5/3)\n' | deepmind/math_dataset |
b'Suppose 0 = -m + 2*m - 3. What is the second derivative of t + 0*t - 3*t**m - t**2 + t**2 wrt t?\n' | b'-18*t\n' | b'Suppose 0 = -m + 2*m - 3. What is the second derivative of t + 0*t - 3*t**m - t**2 + t**2 wrt t?\n' | b'-18*t\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-2/5))/n*n**(5/2)*n**(-4/5)*n**23)**(-22) assuming n is positive.\n' | b'n**(-2673/5)\n' | b'Simplify ((n*n**(-2/5))/n*n**(5/2)*n**(-4/5)*n**23)**(-22) assuming n is positive.\n' | b'n**(-2673/5)\n' | deepmind/math_dataset |
b'Let w be (6 - 10)*7/4. Let x be ((-4)/w)/(14/49). Find the third derivative of 8*l**4 - 2*l**2 + 12*l**2 - 5*l**x + 10*l**2 wrt l.\n' | b'192*l\n' | b'Let w be (6 - 10)*7/4. Let x be ((-4)/w)/(14/49). Find the third derivative of 8*l**4 - 2*l**2 + 12*l**2 - 5*l**x + 10*l**2 wrt l.\n' | b'192*l\n' | deepmind/math_dataset |
b'Let k(t) = 10*t**3 + 72 - 2*t**3 + 121*t**2 + 36*t - 7*t**3 - 71*t**2 - 88*t**2. Give k(37).\n' | b'35\n' | b'Let k(t) = 10*t**3 + 72 - 2*t**3 + 121*t**2 + 36*t - 7*t**3 - 71*t**2 - 88*t**2. Give k(37).\n' | b'35\n' | deepmind/math_dataset |
b'Simplify y**(1/5)*y**(17/2) assuming y is positive.\n' | b'y**(87/10)\n' | b'Simplify y**(1/5)*y**(17/2) assuming y is positive.\n' | b'y**(87/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iqyjmdj. Give prob of sequence yqi.\n' | b'1/210\n' | b'Three letters picked without replacement from iqyjmdj. Give prob of sequence yqi.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let y(q) = -8*q + 4 - 4 - 17*q. Calculate y(1).\n' | b'-25\n' | b'Let y(q) = -8*q + 4 - 4 - 17*q. Calculate y(1).\n' | b'-25\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 4, e: 5, m: 8}. What is prob of picking 4 y?\n' | b'1/2380\n' | b'Four letters picked without replacement from {y: 4, e: 5, m: 8}. What is prob of picking 4 y?\n' | b'1/2380\n' | deepmind/math_dataset |
b'Let r(l) = -l**3 - 4*l**2 + l - 26. Let f be r(-8). Let q = f - 222. Solve -5*u = -0 + 5, q = 4*w - 4*u - 12 for w.\n' | b'2\n' | b'Let r(l) = -l**3 - 4*l**2 + l - 26. Let f be r(-8). Let q = f - 222. Solve -5*u = -0 + 5, q = 4*w - 4*u - 12 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 3*y = 7*y + 168. Let r = -16 - y. Solve 4*i = -2*m + r, -3*i + 9 = m - 3*m for i.\n' | b'5\n' | b'Suppose 3*y = 7*y + 168. Let r = -16 - y. Solve 4*i = -2*m + r, -3*i + 9 = m - 3*m for i.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 5, w: 7, y: 5, n: 2}. Give prob of picking 1 v, 1 w, and 2 n.\n' | b'35/3876\n' | b'Four letters picked without replacement from {v: 5, w: 7, y: 5, n: 2}. Give prob of picking 1 v, 1 w, and 2 n.\n' | b'35/3876\n' | deepmind/math_dataset |
b'Find the third derivative of 2*u**4 + 7*u**4 + 3*u**2 - 13*u**4 - 15*u**2 wrt u.\n' | b'-96*u\n' | b'Find the third derivative of 2*u**4 + 7*u**4 + 3*u**2 - 13*u**4 - 15*u**2 wrt u.\n' | b'-96*u\n' | deepmind/math_dataset |
b'What is prob of sequence jc when two letters picked without replacement from {s: 4, j: 2, m: 1, c: 6}?\n' | b'1/13\n' | b'What is prob of sequence jc when two letters picked without replacement from {s: 4, j: 2, m: 1, c: 6}?\n' | b'1/13\n' | deepmind/math_dataset |
b'Let c(y) = -y - 2 + 0 - 1 - 2. What is c(-4)?\n' | b'-1\n' | b'Let c(y) = -y - 2 + 0 - 1 - 2. What is c(-4)?\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, w: 5, p: 8}. What is prob of sequence wpwp?\n' | b'1/39\n' | b'Four letters picked without replacement from {u: 3, w: 5, p: 8}. What is prob of sequence wpwp?\n' | b'1/39\n' | deepmind/math_dataset |
b'Let n(h) = -3*h**2 - 21*h + 26. Let m be n(-8). Find the third derivative of -49 + 29 + 253*k**5 + 103 - k**2 + m*k**6 wrt k.\n' | b'240*k**3 + 15180*k**2\n' | b'Let n(h) = -3*h**2 - 21*h + 26. Let m be n(-8). Find the third derivative of -49 + 29 + 253*k**5 + 103 - k**2 + m*k**6 wrt k.\n' | b'240*k**3 + 15180*k**2\n' | deepmind/math_dataset |
b'Suppose 0 = 3*f - 0*f - 49 + 34. Solve 3*v = f*r - 4, -8*r = -11*r + 6 for v.\n' | b'2\n' | b'Suppose 0 = 3*f - 0*f - 49 + 34. Solve 3*v = f*r - 4, -8*r = -11*r + 6 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (g/g**17)/g**(10/9)*g*g/g**0*(g/(g*g*g**4*g))/g assuming g is positive.\n' | b'g**(-199/9)\n' | b'Simplify (g/g**17)/g**(10/9)*g*g/g**0*(g/(g*g*g**4*g))/g assuming g is positive.\n' | b'g**(-199/9)\n' | deepmind/math_dataset |
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