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 b(l) = 21 + 26 - l**2 + 26 - 5*l - 75. Let g be 14/(-4) - (-1)/(-2). Let t be b(g). Solve 4*z - 4*r = 24, t - 11 = 3*r for z.\n' | b'3\n' | b'Let b(l) = 21 + 26 - l**2 + 26 - 5*l - 75. Let g be 14/(-4) - (-1)/(-2). Let t be b(g). Solve 4*z - 4*r = 24, t - 11 = 3*r for z.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(w) = -w**3 + 8*w**2 - 9*w + 14. Let m be d(7). Solve 3*x = -12, -2*j - x - 4 - 2 = m for j.\n' | b'-1\n' | b'Let d(w) = -w**3 + 8*w**2 - 9*w + 14. Let m be d(7). Solve 3*x = -12, -2*j - x - 4 - 2 = m for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*k + c + 26 = 0, 8 + 8 = 3*k - c. Let j(b) = 2*b - b - 7*b - 2 + k*b. What is j(-4)?\n' | b'2\n' | b'Suppose -5*k + c + 26 = 0, 8 + 8 = 3*k - c. Let j(b) = 2*b - b - 7*b - 2 + k*b. What is j(-4)?\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence zu when two letters picked without replacement from {t: 3, z: 3, u: 4, o: 3}.\n' | b'1/13\n' | b'Calculate prob of sequence zu when two letters picked without replacement from {t: 3, z: 3, u: 4, o: 3}.\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 3 t when three letters picked without replacement from tvtttvxtttttxtt?\n' | b'33/91\n' | b'What is prob of picking 3 t when three letters picked without replacement from tvtttvxtttttxtt?\n' | b'33/91\n' | deepmind/math_dataset |
b'Simplify (o*o/(o*o**(-1/3)))**(-50)*(o**(1/2))**(-1/19) assuming o is positive.\n' | b'o**(-7603/114)\n' | b'Simplify (o*o/(o*o**(-1/3)))**(-50)*(o**(1/2))**(-1/19) assuming o is positive.\n' | b'o**(-7603/114)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f, 1 r, and 1 c when four letters picked without replacement from cfcrrfrrffcfrrdr.\n' | b'3/26\n' | b'Calculate prob of picking 2 f, 1 r, and 1 c when four letters picked without replacement from cfcrrfrrffcfrrdr.\n' | b'3/26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 6, u: 7}. What is prob of picking 2 e?\n' | b'5/26\n' | b'Two letters picked without replacement from {e: 6, u: 7}. What is prob of picking 2 e?\n' | b'5/26\n' | deepmind/math_dataset |
b'Simplify ((v**(4/17)/v*v)/(v**1*v))**(14/13) assuming v is positive.\n' | b'v**(-420/221)\n' | b'Simplify ((v**(4/17)/v*v)/(v**1*v))**(14/13) assuming v is positive.\n' | b'v**(-420/221)\n' | deepmind/math_dataset |
b'Suppose -9 + 39 = -3*w. Let d be (-5)/(-15) - w/6. Solve 2*n + 8 = -2*n, d*n + 8 = j for j.\n' | b'4\n' | b'Suppose -9 + 39 = -3*w. Let d be (-5)/(-15) - w/6. Solve 2*n + 8 = -2*n, d*n + 8 = j for j.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 t when four letters picked without replacement from tyyyytytyytyttyt.\n' | b'1/52\n' | b'Calculate prob of picking 4 t when four letters picked without replacement from tyyyytytyytyttyt.\n' | b'1/52\n' | deepmind/math_dataset |
b'What is the second derivative of 0*t + 2*t**3 + 2*t - 8*t wrt t?\n' | b'12*t\n' | b'What is the second derivative of 0*t + 2*t**3 + 2*t - 8*t wrt t?\n' | b'12*t\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, q: 7}. Give prob of sequence qq.\n' | b'3/4\n' | b'Two letters picked without replacement from {f: 1, q: 7}. Give prob of sequence qq.\n' | b'3/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fmfmmffmmfbmmbm. Give prob of picking 2 b and 1 f.\n' | b'1/91\n' | b'Three letters picked without replacement from fmfmmffmmfbmmbm. Give prob of picking 2 b and 1 f.\n' | b'1/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 2, n: 6, m: 1, a: 3, o: 2}. Give prob of sequence naaa.\n' | b'3/2002\n' | b'Four letters picked without replacement from {d: 2, n: 6, m: 1, a: 3, o: 2}. Give prob of sequence naaa.\n' | b'3/2002\n' | deepmind/math_dataset |
b'Suppose 4*v - 11 = 5*l - 0*v, -5*l + 5*v - 10 = 0. Let t = l + 3. Solve 6 = -2*u + 2*p + 4, -2*u + 3*p - 5 = t for u.\n' | b'2\n' | b'Suppose 4*v - 11 = 5*l - 0*v, -5*l + 5*v - 10 = 0. Let t = l + 3. Solve 6 = -2*u + 2*p + 4, -2*u + 3*p - 5 = t for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let w(t) = -2*t + 14. Let k be w(7). Suppose k = -9*f + 13*f - 12. Find the third derivative of 149*y**3 + 20*y**2 - 91*y**f - 87*y**3 wrt y.\n' | b'-174\n' | b'Let w(t) = -2*t + 14. Let k be w(7). Suppose k = -9*f + 13*f - 12. Find the third derivative of 149*y**3 + 20*y**2 - 91*y**f - 87*y**3 wrt y.\n' | b'-174\n' | deepmind/math_dataset |
b'Let g = -7 + 9. Let c be (1*12)/2 - g. Solve 2*u = 4*v + c, -4*u = 5*v + 1 + 4 for v.\n' | b'-1\n' | b'Let g = -7 + 9. Let c be (1*12)/2 - g. Solve 2*u = 4*v + c, -4*u = 5*v + 1 + 4 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(i) = -109*i**5 + 3*i**4 + 6*i + 31. Let b(l) = 217*l**5 - 7*l**4 - 13*l - 63. Let t(n) = 3*b(n) + 7*g(n). Find the second derivative of t(c) wrt c.\n' | b'-2240*c**3\n' | b'Let g(i) = -109*i**5 + 3*i**4 + 6*i + 31. Let b(l) = 217*l**5 - 7*l**4 - 13*l - 63. Let t(n) = 3*b(n) + 7*g(n). Find the second derivative of t(c) wrt c.\n' | b'-2240*c**3\n' | deepmind/math_dataset |
b'What is prob of sequence sdss when four letters picked without replacement from {s: 4, d: 2}?\n' | b'2/15\n' | b'What is prob of sequence sdss when four letters picked without replacement from {s: 4, d: 2}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let x(l) = l**3 - 12*l**2 - 1. Let f be x(12). Let h be f/4 - 258/(-8). Suppose -2*z - o = -2*o - h, z = 4*o + 30. Solve 3*c = 2*i + 7*c, 3*c = -5*i + z for i.\n' | b'4\n' | b'Let x(l) = l**3 - 12*l**2 - 1. Let f be x(12). Let h be f/4 - 258/(-8). Suppose -2*z - o = -2*o - h, z = 4*o + 30. Solve 3*c = 2*i + 7*c, 3*c = -5*i + z for i.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((o/o**(-5/3))/o**5)/(o/o**(-6/11)*o**30))**(11/4) assuming o is positive.\n' | b'o**(-559/6)\n' | b'Simplify (((o/o**(-5/3))/o**5)/(o/o**(-6/11)*o**30))**(11/4) assuming o is positive.\n' | b'o**(-559/6)\n' | deepmind/math_dataset |
b'Let w = -3035 + 3051. Solve 5*u = -4*f + 2*u - 26, -4*f - w = -2*u for f.\n' | b'-5\n' | b'Let w = -3035 + 3051. Solve 5*u = -4*f + 2*u - 26, -4*f - w = -2*u for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(v) be the second derivative of 1/2*v**2 + 0 + 5/6*v**3 - 3*v. Calculate l(2).\n' | b'11\n' | b'Let l(v) be the second derivative of 1/2*v**2 + 0 + 5/6*v**3 - 3*v. Calculate l(2).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of sequence ffzf when four letters picked without replacement from izfiifif.\n' | b'1/280\n' | b'Calculate prob of sequence ffzf when four letters picked without replacement from izfiifif.\n' | b'1/280\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvvvvv.\n' | b'1\n' | b'Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvvvvv.\n' | b'1\n' | deepmind/math_dataset |
b'Let c be ((-18)/15)/((-4)/10). Let p(v) = -3*v**3 + 3*v**2 + 2*v**3 + 0*v**c + 3*v. Let y be 2/6 - (-33)/9. Calculate p(y).\n' | b'-4\n' | b'Let c be ((-18)/15)/((-4)/10). Let p(v) = -3*v**3 + 3*v**2 + 2*v**3 + 0*v**c + 3*v. Let y be 2/6 - (-33)/9. Calculate p(y).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence kh when two letters picked without replacement from {m: 3, h: 1, x: 2, k: 1, a: 1, r: 4}?\n' | b'1/132\n' | b'What is prob of sequence kh when two letters picked without replacement from {m: 3, h: 1, x: 2, k: 1, a: 1, r: 4}?\n' | b'1/132\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 7, g: 10, v: 1}. Give prob of picking 3 g.\n' | b'5/34\n' | b'Three letters picked without replacement from {i: 7, g: 10, v: 1}. Give prob of picking 3 g.\n' | b'5/34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 3, i: 7, w: 3, k: 1}. Give prob of picking 2 w.\n' | b'3/91\n' | b'Two letters picked without replacement from {a: 3, i: 7, w: 3, k: 1}. Give prob of picking 2 w.\n' | b'3/91\n' | deepmind/math_dataset |
b'Simplify (x*x*x**(-4)*x*x)**9 assuming x is positive.\n' | b'1\n' | b'Simplify (x*x*x**(-4)*x*x)**9 assuming x is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, g: 2, t: 2, w: 1, f: 1, v: 2}. What is prob of sequence qwt?\n' | b'1/252\n' | b'Three letters picked without replacement from {q: 1, g: 2, t: 2, w: 1, f: 1, v: 2}. What is prob of sequence qwt?\n' | b'1/252\n' | deepmind/math_dataset |
b'Let d(k) be the second derivative of k**5/20 + k**4/4 + k**3/2 + k**2/2 + 91*k. Let j(i) = 2*i**2 + i. Let r(f) = d(f) - 2*j(f). Give r(0).\n' | b'1\n' | b'Let d(k) be the second derivative of k**5/20 + k**4/4 + k**3/2 + k**2/2 + 91*k. Let j(i) = 2*i**2 + i. Let r(f) = d(f) - 2*j(f). Give r(0).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((n**(-7)*n)/n)/n**(-12)*(n**(2/13))**(-6/17) assuming n is positive.\n' | b'n**(1093/221)\n' | b'Simplify ((n**(-7)*n)/n)/n**(-12)*(n**(2/13))**(-6/17) assuming n is positive.\n' | b'n**(1093/221)\n' | deepmind/math_dataset |
b'Suppose 0*j + 4*j - 12 = -5*y, 3*j + 3*y = 12. Let a = 6 - 3. Suppose a*x - 1 = j. Solve s - 2*z + 10 = -4*s, -2*s + z = x for s.\n' | b'-4\n' | b'Suppose 0*j + 4*j - 12 = -5*y, 3*j + 3*y = 12. Let a = 6 - 3. Suppose a*x - 1 = j. Solve s - 2*z + 10 = -4*s, -2*s + z = x for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(f) = f**3 - 6*f**2 - 6*f - 2. Let r be a(7). Find the third derivative of 0*l**2 - 3*l**2 - l**2 + r*l**2 + l**5 wrt l.\n' | b'60*l**2\n' | b'Let a(f) = f**3 - 6*f**2 - 6*f - 2. Let r be a(7). Find the third derivative of 0*l**2 - 3*l**2 - l**2 + r*l**2 + l**5 wrt l.\n' | b'60*l**2\n' | deepmind/math_dataset |
b'Simplify (((w/w**1)**(2/99)/(w/w**(-1/4))**(-29))**(2/45))**(-1) assuming w is positive.\n' | b'w**(-29/18)\n' | b'Simplify (((w/w**1)**(2/99)/(w/w**(-1/4))**(-29))**(2/45))**(-1) assuming w is positive.\n' | b'w**(-29/18)\n' | deepmind/math_dataset |
b'Let x(t) be the second derivative of 3*t**6/5 + 17*t**2/2 - 36*t. Differentiate x(d) wrt d.\n' | b'72*d**3\n' | b'Let x(t) be the second derivative of 3*t**6/5 + 17*t**2/2 - 36*t. Differentiate x(d) wrt d.\n' | b'72*d**3\n' | deepmind/math_dataset |
b'What is prob of picking 4 y when four letters picked without replacement from {k: 3, y: 11}?\n' | b'30/91\n' | b'What is prob of picking 4 y when four letters picked without replacement from {k: 3, y: 11}?\n' | b'30/91\n' | deepmind/math_dataset |
b'Suppose 2 = -h + 4*j, 0 = 3*h + 2*j + 6 - 14. Find the second derivative of 1186*o - 1216*o + 3*o**2 + 23*o**h wrt o.\n' | b'52\n' | b'Suppose 2 = -h + 4*j, 0 = 3*h + 2*j + 6 - 14. Find the second derivative of 1186*o - 1216*o + 3*o**2 + 23*o**h wrt o.\n' | b'52\n' | deepmind/math_dataset |
b'Calculate prob of sequence qla when three letters picked without replacement from {p: 3, v: 2, l: 1, q: 1, s: 1, a: 4}.\n' | b'1/330\n' | b'Calculate prob of sequence qla when three letters picked without replacement from {p: 3, v: 2, l: 1, q: 1, s: 1, a: 4}.\n' | b'1/330\n' | deepmind/math_dataset |
b'Differentiate 55 - 20 - 15 + 24*d**2 - 17 wrt d.\n' | b'48*d\n' | b'Differentiate 55 - 20 - 15 + 24*d**2 - 17 wrt d.\n' | b'48*d\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 g when two letters picked without replacement from fgsfyffgfgjcg?\n' | b'2/39\n' | b'What is prob of picking 1 j and 1 g when two letters picked without replacement from fgsfyffgfgjcg?\n' | b'2/39\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 2 o when three letters picked without replacement from {o: 13, k: 3}?\n' | b'117/280\n' | b'What is prob of picking 1 k and 2 o when three letters picked without replacement from {o: 13, k: 3}?\n' | b'117/280\n' | deepmind/math_dataset |
b'Suppose 2*x + 12 = 14. Suppose x = 3*w - 5. Suppose 1 = w*y - 5. Let o(a) = a**3 - 5*a**2 + 4*a + 1. Calculate o(y).\n' | b'-5\n' | b'Suppose 2*x + 12 = 14. Suppose x = 3*w - 5. Suppose 1 = w*y - 5. Let o(a) = a**3 - 5*a**2 + 4*a + 1. Calculate o(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -65 = -6*o + o. Let h be 66/6 + (-65)/5 + 5. Differentiate 6*i**h - 10*i + 16 - 3*i + o*i wrt i.\n' | b'18*i**2\n' | b'Suppose -65 = -6*o + o. Let h be 66/6 + (-65)/5 + 5. Differentiate 6*i**h - 10*i + 16 - 3*i + o*i wrt i.\n' | b'18*i**2\n' | deepmind/math_dataset |
b'What is the second derivative of 0*k**4 + 5*k**4 + 4*k + 0*k**4 wrt k?\n' | b'60*k**2\n' | b'What is the second derivative of 0*k**4 + 5*k**4 + 4*k + 0*k**4 wrt k?\n' | b'60*k**2\n' | deepmind/math_dataset |
b'Let n(h) = 10*h + 32. Let j be n(-3). Let u be (0 - (3 + -7)) + j. Solve -4*x - 3*z + 7 = 0, -4*x + 0*z + u = 2*z for x.\n' | b'1\n' | b'Let n(h) = 10*h + 32. Let j be n(-3). Let u be (0 - (3 + -7)) + j. Solve -4*x - 3*z + 7 = 0, -4*x + 0*z + u = 2*z for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let u = -1188 + 1192. Let z(p) be the first derivative of -12 - 15/2*p**2 + u*p**3 + 0*p. Find the second derivative of z(q) wrt q.\n' | b'24\n' | b'Let u = -1188 + 1192. Let z(p) be the first derivative of -12 - 15/2*p**2 + u*p**3 + 0*p. Find the second derivative of z(q) wrt q.\n' | b'24\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuaaaaaaaaaa. Give prob of sequence auau.\n' | b'1/66\n' | b'Four letters picked without replacement from uuaaaaaaaaaa. Give prob of sequence auau.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let v = 68 + -40. Suppose 2*o + 3*o - 5*g = -40, -5*o + g - v = 0. Let s(j) = -j**3 - 4*j**2 + 8*j + 6. Give s(o).\n' | b'-9\n' | b'Let v = 68 + -40. Suppose 2*o + 3*o - 5*g = -40, -5*o + g - v = 0. Let s(j) = -j**3 - 4*j**2 + 8*j + 6. Give s(o).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((s**0*((s**(3/8)*s)/s*s*s)/s)**(4/9))**(15/4) assuming s is positive.\n' | b's**(55/24)\n' | b'Simplify ((s**0*((s**(3/8)*s)/s*s*s)/s)**(4/9))**(15/4) assuming s is positive.\n' | b's**(55/24)\n' | deepmind/math_dataset |
b'Suppose -2*p - 7*p = -81. Let c be (1 + (-12)/p)/(4/(-24)). Solve -5*w + u + c = -0*w, 0 = -4*w + 2*u + 4 for w.\n' | b'0\n' | b'Suppose -2*p - 7*p = -81. Let c be (1 + (-12)/p)/(4/(-24)). Solve -5*w + u + c = -0*w, 0 = -4*w + 2*u + 4 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(d) be the first derivative of 2 - 1/3*d**3 + d + 0*d**2. Give c(3).\n' | b'-8\n' | b'Let c(d) be the first derivative of 2 - 1/3*d**3 + d + 0*d**2. Give c(3).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ondggoognogoodong. What is prob of picking 1 n, 1 d, and 2 g?\n' | b'3/119\n' | b'Four letters picked without replacement from ondggoognogoodong. What is prob of picking 1 n, 1 d, and 2 g?\n' | b'3/119\n' | deepmind/math_dataset |
b'Simplify ((w*w/w**(-2))/(w*w**(-6/11)))/(w**0)**15 assuming w is positive.\n' | b'w**(39/11)\n' | b'Simplify ((w*w/w**(-2))/(w*w**(-6/11)))/(w**0)**15 assuming w is positive.\n' | b'w**(39/11)\n' | deepmind/math_dataset |
b'Let s(y) = 17*y - 4 - 12*y - 9*y - y**2. What is s(-3)?\n' | b'-1\n' | b'Let s(y) = 17*y - 4 - 12*y - 9*y - y**2. What is s(-3)?\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*r + 6 = -14. Let p be 22/8 - (1 + r/4). Solve -18 = 3*t - 5*z + p*z, -5*t - 8 = 4*z for t.\n' | b'-4\n' | b'Suppose 4*r + 6 = -14. Let p be 22/8 - (1 + r/4). Solve -18 = 3*t - 5*z + p*z, -5*t - 8 = 4*z for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(b) be the second derivative of 0 + 87*b - 13/10*b**5 + 1/2*b**2 - 7/3*b**3 + 0*b**4. Find the second derivative of s(r) wrt r.\n' | b'-156*r\n' | b'Let s(b) be the second derivative of 0 + 87*b - 13/10*b**5 + 1/2*b**2 - 7/3*b**3 + 0*b**4. Find the second derivative of s(r) wrt r.\n' | b'-156*r\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 9, g: 5}. Give prob of picking 1 g and 2 p.\n' | b'45/91\n' | b'Three letters picked without replacement from {p: 9, g: 5}. Give prob of picking 1 g and 2 p.\n' | b'45/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 n when three letters picked without replacement from wnwnannan?\n' | b'5/21\n' | b'What is prob of picking 1 a and 2 n when three letters picked without replacement from wnwnannan?\n' | b'5/21\n' | deepmind/math_dataset |
b'Simplify (d**16*d)/(d/(d/(d**19*d))) assuming d is positive.\n' | b'd**(-3)\n' | b'Simplify (d**16*d)/(d/(d/(d**19*d))) assuming d is positive.\n' | b'd**(-3)\n' | deepmind/math_dataset |
b'Find the first derivative of 181 - 582 - 2349*i + 65 - 357 wrt i.\n' | b'-2349\n' | b'Find the first derivative of 181 - 582 - 2349*i + 65 - 357 wrt i.\n' | b'-2349\n' | deepmind/math_dataset |
b'What is prob of sequence eeb when three letters picked without replacement from ebeeembmememe?\n' | b'7/143\n' | b'What is prob of sequence eeb when three letters picked without replacement from ebeeembmememe?\n' | b'7/143\n' | deepmind/math_dataset |
b'Simplify ((d/(d/(d**3*d)))**(42/13)*(d/d**(2/21))/d**17)**(-10/17) assuming d is positive.\n' | b'd**(8660/4641)\n' | b'Simplify ((d/(d/(d**3*d)))**(42/13)*(d/d**(2/21))/d**17)**(-10/17) assuming d is positive.\n' | b'd**(8660/4641)\n' | deepmind/math_dataset |
b'Simplify ((((i/(i/(i**6*i)))/i)/i**(8/7))/((i*i*i**7/i)/(i*((i/(((i/(i*i/((i*i*i*i*i**(-5/2))/i)))/i)/i))/i)/i)))**(-1/54) assuming i is positive.\n' | b'i**(1/84)\n' | b'Simplify ((((i/(i/(i**6*i)))/i)/i**(8/7))/((i*i*i**7/i)/(i*((i/(((i/(i*i/((i*i*i*i*i**(-5/2))/i)))/i)/i))/i)/i)))**(-1/54) assuming i is positive.\n' | b'i**(1/84)\n' | deepmind/math_dataset |
b'Let x(u) = -4*u**2 + 14*u - 7. Let j(p) = 3*p**2 - 13*p + 8. Let n(q) = 3*j(q) + 2*x(q). Let s be n(11). Solve -3*w + 22 = -5*v, w - 3*w = -v - s for w.\n' | b'4\n' | b'Let x(u) = -4*u**2 + 14*u - 7. Let j(p) = 3*p**2 - 13*p + 8. Let n(q) = 3*j(q) + 2*x(q). Let s be n(11). Solve -3*w + 22 = -5*v, w - 3*w = -v - s for w.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {n: 6, f: 6}?\n' | b'5/22\n' | b'What is prob of picking 2 f when two letters picked without replacement from {n: 6, f: 6}?\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose -54*l = -2172 + 930. Solve -7 = -o - 5, l = 5*w + 4*o for w.\n' | b'3\n' | b'Suppose -54*l = -2172 + 930. Solve -7 = -o - 5, l = 5*w + 4*o for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(s) = -s**3 - s**2. Let h(i) = -9*i**3 - 18*i**2 + 42. Let c(d) = 18*a(d) - h(d). Differentiate c(t) wrt t.\n' | b'-27*t**2\n' | b'Let a(s) = -s**3 - s**2. Let h(i) = -9*i**3 - 18*i**2 + 42. Let c(d) = 18*a(d) - h(d). Differentiate c(t) wrt t.\n' | b'-27*t**2\n' | deepmind/math_dataset |
b'Suppose -5*x = 15, -11*i + x + 15 = -8*i. Suppose -6*g = -3*l - g - 4, 2 = -i*l + 5*g. Suppose -4*c = -6 + l. Solve 5*d - u - 5 = 0, -c - 23 = -2*d - 4*u for d.\n' | b'2\n' | b'Suppose -5*x = 15, -11*i + x + 15 = -8*i. Suppose -6*g = -3*l - g - 4, 2 = -i*l + 5*g. Suppose -4*c = -6 + l. Solve 5*d - u - 5 = 0, -c - 23 = -2*d - 4*u for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let r(j) be the first derivative of j**3/3 - 23*j**2/2 + 109*j - 4892. Determine r(6).\n' | b'7\n' | b'Let r(j) be the first derivative of j**3/3 - 23*j**2/2 + 109*j - 4892. Determine r(6).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence tttt when four letters picked without replacement from tttttt.\n' | b'1\n' | b'Calculate prob of sequence tttt when four letters picked without replacement from tttttt.\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of -9*g - 7 + 9247*g**4 + g**2 - g**2 - 8985*g**4 wrt g.\n' | b'3144*g**2\n' | b'Find the second derivative of -9*g - 7 + 9247*g**4 + g**2 - g**2 - 8985*g**4 wrt g.\n' | b'3144*g**2\n' | deepmind/math_dataset |
b'Let n(i) = -2*i**2 - 31*i + 243. Let h be n(-21). Solve -g - 5*q - h + 38 = 0, 9 = 4*g + q for g.\n' | b'1\n' | b'Let n(i) = -2*i**2 - 31*i + 243. Let h be n(-21). Solve -g - 5*q - h + 38 = 0, 9 = 4*g + q for g.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dtdtttdty. Give prob of picking 1 t and 2 d.\n' | b'5/28\n' | b'Three letters picked without replacement from dtdtttdty. Give prob of picking 1 t and 2 d.\n' | b'5/28\n' | deepmind/math_dataset |
b'Let x(t) = -1757*t**3 - 7*t**2 - 330*t - 11. Let k(z) = -1757*z**3 - 6*z**2 - 333*z - 10. Let i(s) = 7*k(s) - 6*x(s). Find the second derivative of i(u) wrt u.\n' | b'-10542*u\n' | b'Let x(t) = -1757*t**3 - 7*t**2 - 330*t - 11. Let k(z) = -1757*z**3 - 6*z**2 - 333*z - 10. Let i(s) = 7*k(s) - 6*x(s). Find the second derivative of i(u) wrt u.\n' | b'-10542*u\n' | deepmind/math_dataset |
b'Simplify (l**(-2)/(l/(l**(2/19)/l)))/(l**(-2/7)/(l**(1/5)*l))*(l/(l/l**(1/5)))**(1/2)/(l/(l*l*l/l**(-6))*l*l**(1/10)*l) assuming l is positive.\n' | b'l**(2388/665)\n' | b'Simplify (l**(-2)/(l/(l**(2/19)/l)))/(l**(-2/7)/(l**(1/5)*l))*(l/(l/l**(1/5)))**(1/2)/(l/(l*l*l/l**(-6))*l*l**(1/10)*l) assuming l is positive.\n' | b'l**(2388/665)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 2 z when four letters picked without replacement from ccccczcck.\n' | b'0\n' | b'Calculate prob of picking 2 k and 2 z when four letters picked without replacement from ccccczcck.\n' | b'0\n' | deepmind/math_dataset |
b'Let k be (-81)/(-9)*12/9. Let o be 2 + 1/2*2. Solve -2*b + 23 = -4*v - v, 0 = -o*b + k for v.\n' | b'-3\n' | b'Let k be (-81)/(-9)*12/9. Let o be 2 + 1/2*2. Solve -2*b + 23 = -4*v - v, 0 = -o*b + k for v.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ukk when three letters picked without replacement from ukuuuuuukuuuuukuuukk?\n' | b'5/114\n' | b'What is prob of sequence ukk when three letters picked without replacement from ukuuuuuukuuuuukuuukk?\n' | b'5/114\n' | deepmind/math_dataset |
b'Simplify ((((s**(-6))**(1/2))**(-24))**(-37))**3 assuming s is positive.\n' | b's**(-7992)\n' | b'Simplify ((((s**(-6))**(1/2))**(-24))**(-37))**3 assuming s is positive.\n' | b's**(-7992)\n' | deepmind/math_dataset |
b'Let i be (-9)/(-2)*((-8)/14)/(2682/(-10430)). Let j(m) = -m**3 + 7*m**2 + 36*m - 16. What is j(i)?\n' | b'44\n' | b'Let i be (-9)/(-2)*((-8)/14)/(2682/(-10430)). Let j(m) = -m**3 + 7*m**2 + 36*m - 16. What is j(i)?\n' | b'44\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wlwwlwwwwwwwlww. Give prob of sequence wwll.\n' | b'11/455\n' | b'Four letters picked without replacement from wlwwlwwwwwwwlww. Give prob of sequence wwll.\n' | b'11/455\n' | deepmind/math_dataset |
b'Let d(y) be the third derivative of -79*y**6/30 - 17*y**4/24 - 7*y**3/6 - 364*y**2. What is the second derivative of d(s) wrt s?\n' | b'-1896*s\n' | b'Let d(y) be the third derivative of -79*y**6/30 - 17*y**4/24 - 7*y**3/6 - 364*y**2. What is the second derivative of d(s) wrt s?\n' | b'-1896*s\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 a when two letters picked without replacement from aaarraaaaarrr.\n' | b'20/39\n' | b'Calculate prob of picking 1 r and 1 a when two letters picked without replacement from aaarraaaaarrr.\n' | b'20/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 q and 1 d when four letters picked without replacement from vqqqvqvvvqvvqqvqd.\n' | b'2/85\n' | b'Calculate prob of picking 3 q and 1 d when four letters picked without replacement from vqqqvqvvvqvvqqvqd.\n' | b'2/85\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from kfscsfkkkff?\n' | b'1/330\n' | b'What is prob of picking 4 k when four letters picked without replacement from kfscsfkkkff?\n' | b'1/330\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s and 2 j when four letters picked without replacement from sjjsss.\n' | b'2/5\n' | b'Calculate prob of picking 2 s and 2 j when four letters picked without replacement from sjjsss.\n' | b'2/5\n' | deepmind/math_dataset |
b'Let d(y) = y**2 + 16*y + 31. Let c be d(-13). Let t(a) = -3*a**2 + 325 + 328 + 10*a + 4*a**2 - 649. Give t(c).\n' | b'-12\n' | b'Let d(y) = y**2 + 16*y + 31. Let c be d(-13). Let t(a) = -3*a**2 + 325 + 328 + 10*a + 4*a**2 - 649. Give t(c).\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose 0 = 15*x - 12*x - 72. Suppose -3*d = d - x. Find the third derivative of -6*v + v**3 + d*v + 2*v**2 wrt v.\n' | b'6\n' | b'Suppose 0 = 15*x - 12*x - 72. Suppose -3*d = d - x. Find the third derivative of -6*v + v**3 + d*v + 2*v**2 wrt v.\n' | b'6\n' | deepmind/math_dataset |
b'Let q be (-5 - -1)/((-6)/(-1 - -4)). Find the third derivative of 59*x**3 + 11*x**q - 102*x**3 + 69*x**3 wrt x.\n' | b'156\n' | b'Let q be (-5 - -1)/((-6)/(-1 - -4)). Find the third derivative of 59*x**3 + 11*x**q - 102*x**3 + 69*x**3 wrt x.\n' | b'156\n' | deepmind/math_dataset |
b'Suppose 4*r = 3*o + 2*o + 22, 2*o = -4. Suppose 4*h - 12 = 0, -r*x + 2*h + 27 = 6*h. Solve -15 = y - 0*p - 3*p, -x = -p for y.\n' | b'0\n' | b'Suppose 4*r = 3*o + 2*o + 22, 2*o = -4. Suppose 4*h - 12 = 0, -r*x + 2*h + 27 = 6*h. Solve -15 = y - 0*p - 3*p, -x = -p for y.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((o**(3/5))**(-24)*(o/(o/(o**(-26)*o)))/o*o**9/o)**(-3) assuming o is positive.\n' | b'o**(486/5)\n' | b'Simplify ((o**(3/5))**(-24)*(o/(o/(o**(-26)*o)))/o*o**9/o)**(-3) assuming o is positive.\n' | b'o**(486/5)\n' | deepmind/math_dataset |
b'Let v(x) be the second derivative of 25*x**4/3 + 65*x**3/2 - 299*x. What is the second derivative of v(f) wrt f?\n' | b'200\n' | b'Let v(x) be the second derivative of 25*x**4/3 + 65*x**3/2 - 299*x. What is the second derivative of v(f) wrt f?\n' | b'200\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 10, m: 2}. Give prob of sequence mr.\n' | b'5/33\n' | b'Two letters picked without replacement from {r: 10, m: 2}. Give prob of sequence mr.\n' | b'5/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence mj when two letters picked without replacement from {m: 4, j: 3, u: 6}.\n' | b'1/13\n' | b'Calculate prob of sequence mj when two letters picked without replacement from {m: 4, j: 3, u: 6}.\n' | b'1/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssjbjdbdbbdsjbdbsdb. What is prob of sequence jbb?\n' | b'7/323\n' | b'Three letters picked without replacement from ssjbjdbdbbdsjbdbsdb. What is prob of sequence jbb?\n' | b'7/323\n' | deepmind/math_dataset |
b'Let t(c) = 4 + 8*c**2 + 4*c + 8*c + 0*c**2. Let b(o) be the third derivative of o**5/20 + o**4/6 + o**3/6 - 15*o**2. Let w(m) = -11*b(m) + 4*t(m). Give w(4).\n' | b'5\n' | b'Let t(c) = 4 + 8*c**2 + 4*c + 8*c + 0*c**2. Let b(o) be the third derivative of o**5/20 + o**4/6 + o**3/6 - 15*o**2. Let w(m) = -11*b(m) + 4*t(m). Give w(4).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {v: 1, j: 2, n: 7, g: 2, k: 2, s: 1}?\n' | b'1/105\n' | b'What is prob of picking 2 g when two letters picked without replacement from {v: 1, j: 2, n: 7, g: 2, k: 2, s: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
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