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'Simplify (o**(-3/4)*o**(-2/3)*(o*o/(o*o**(-1)*o*o))**(1/3))**32 assuming o is positive.\n' | b'o**(-136/3)\n' | b'Simplify (o**(-3/4)*o**(-2/3)*(o*o/(o*o**(-1)*o*o))**(1/3))**32 assuming o is positive.\n' | b'o**(-136/3)\n' | deepmind/math_dataset |
b'Suppose -3*m - 15 = -2*u, -3*m - 16 - 8 = -5*u. Find the second derivative of -8*y + 6*y - 2*y - 6*y**u - y**3 wrt y.\n' | b'-42*y\n' | b'Suppose -3*m - 15 = -2*u, -3*m - 16 - 8 = -5*u. Find the second derivative of -8*y + 6*y - 2*y - 6*y**u - y**3 wrt y.\n' | b'-42*y\n' | deepmind/math_dataset |
b'Simplify (((r*r*(r*r**(2/7)/r)/r)/r*(r/r**(3/4))/r)/(r*(r**(11/2)/r)/r*r*r*r/r**22))**(2/9) assuming r is positive.\n' | b'r**(131/42)\n' | b'Simplify (((r*r*(r*r**(2/7)/r)/r)/r*(r/r**(3/4))/r)/(r*(r**(11/2)/r)/r*r*r*r/r**22))**(2/9) assuming r is positive.\n' | b'r**(131/42)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from {i: 8, a: 2, u: 9}.\n' | b'4/19\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from {i: 8, a: 2, u: 9}.\n' | b'4/19\n' | deepmind/math_dataset |
b'Let o(b) = b**3 + 6*b**2 - 6*b + 10. Let f be o(-7). Let c be 8*f/(-18)*-3. Differentiate -k**c - 4 + 0*k**4 + 2 wrt k.\n' | b'-4*k**3\n' | b'Let o(b) = b**3 + 6*b**2 - 6*b + 10. Let f be o(-7). Let c be 8*f/(-18)*-3. Differentiate -k**c - 4 + 0*k**4 + 2 wrt k.\n' | b'-4*k**3\n' | deepmind/math_dataset |
b'Let x(f) = 7*f + 130 - 117462*f**2 + 117460*f**2 + 15*f. Give x(15).\n' | b'10\n' | b'Let x(f) = 7*f + 130 - 117462*f**2 + 117460*f**2 + 15*f. Give x(15).\n' | b'10\n' | deepmind/math_dataset |
b'Let c = 34 + -32. What is the second derivative of 7*l + 19*l**4 + l**2 + 2*l**c - 3*l**2 wrt l?\n' | b'228*l**2\n' | b'Let c = 34 + -32. What is the second derivative of 7*l + 19*l**4 + l**2 + 2*l**c - 3*l**2 wrt l?\n' | b'228*l**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 k when three letters picked without replacement from rrrkkiirkki.\n' | b'8/55\n' | b'Calculate prob of picking 1 r and 2 k when three letters picked without replacement from rrrkkiirkki.\n' | b'8/55\n' | deepmind/math_dataset |
b'Let b(c) = 8*c**2 - 5 + 12*c + 5*c**2 - 13*c**2 - c**2. What is b(11)?\n' | b'6\n' | b'Let b(c) = 8*c**2 - 5 + 12*c + 5*c**2 - 13*c**2 - c**2. What is b(11)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 2 a when four letters picked without replacement from aaaajaajaaaaaaaaja.\n' | b'7/68\n' | b'Calculate prob of picking 2 j and 2 a when four letters picked without replacement from aaaajaajaaaaaaaaja.\n' | b'7/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmmmmm. Give prob of picking 4 m.\n' | b'1\n' | b'Four letters picked without replacement from mmmmmm. Give prob of picking 4 m.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nniilppnxiln. What is prob of picking 2 p?\n' | b'1/66\n' | b'Two letters picked without replacement from nniilppnxiln. What is prob of picking 2 p?\n' | b'1/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ggffgffjgffgfuggg. What is prob of picking 3 g?\n' | b'7/85\n' | b'Three letters picked without replacement from ggffgffjgffgfuggg. What is prob of picking 3 g?\n' | b'7/85\n' | deepmind/math_dataset |
b'Let b be (0 - 0) + (-4)/(-2). Suppose 9 = 5*n - 3*w, -6 = -0*n - 2*n + b*w. Solve 0 = -3*z + 4*m, z + n*m = 3*m for z.\n' | b'0\n' | b'Let b be (0 - 0) + (-4)/(-2). Suppose 9 = 5*n - 3*w, -6 = -0*n - 2*n + b*w. Solve 0 = -3*z + 4*m, z + n*m = 3*m for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let t = -4712 + 4717. Solve 2*n - 8 = 4*n, -t*n = -2*j + 24 for j.\n' | b'2\n' | b'Let t = -4712 + 4717. Solve 2*n - 8 = 4*n, -t*n = -2*j + 24 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (u/u**(-1/3)*u/u**(-1/5))/(u**(-2/5))**(15/8) assuming u is positive.\n' | b'u**(197/60)\n' | b'Simplify (u/u**(-1/3)*u/u**(-1/5))/(u**(-2/5))**(15/8) assuming u is positive.\n' | b'u**(197/60)\n' | deepmind/math_dataset |
b'Let v be 28/(-6)*(-8424)/378. Find the second derivative of v*a**3 - 344*a**3 + 43*a + 86*a wrt a.\n' | b'-1440*a\n' | b'Let v be 28/(-6)*(-8424)/378. Find the second derivative of v*a**3 - 344*a**3 + 43*a + 86*a wrt a.\n' | b'-1440*a\n' | deepmind/math_dataset |
b'Let l(s) = -s**2 + s + 19. Let i be -4 + ((-128)/(-18) - 280/(-315)). Calculate l(i).\n' | b'7\n' | b'Let l(s) = -s**2 + s + 19. Let i be -4 + ((-128)/(-18) - 280/(-315)). Calculate l(i).\n' | b'7\n' | deepmind/math_dataset |
b'Let g be -4*(-5 - (-45)/10). Suppose -10*s = -12*s + g. Solve -5*u = 2*v - s, 0 = -v + 5*u - 2*u - 5 for v.\n' | b'-2\n' | b'Let g be -4*(-5 - (-45)/10). Suppose -10*s = -12*s + g. Solve -5*u = 2*v - s, 0 = -v + 5*u - 2*u - 5 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let n be (-378)/105*(-10)/6. Solve -2*c - 8 = 5*k, -n + 3 = -5*c - k for c.\n' | b'1\n' | b'Let n be (-378)/105*(-10)/6. Solve -2*c - 8 = 5*k, -n + 3 = -5*c - k for c.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 - 21 = -7*z. Let u(f) = 6*f - 8. Let s(a) = 2*a - 3. Let k(n) = 11*s(n) - 4*u(n). Give k(z).\n' | b'-7\n' | b'Suppose 0 - 21 = -7*z. Let u(f) = 6*f - 8. Let s(a) = 2*a - 3. Let k(n) = 11*s(n) - 4*u(n). Give k(z).\n' | b'-7\n' | deepmind/math_dataset |
b'Find the third derivative of -75 + 138 - 557*m + 2*m**2 + 4829*m**3 + 0*m**2 - 62 wrt m.\n' | b'28974\n' | b'Find the third derivative of -75 + 138 - 557*m + 2*m**2 + 4829*m**3 + 0*m**2 - 62 wrt m.\n' | b'28974\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oczue. Give prob of picking 1 c and 1 o.\n' | b'1/10\n' | b'Two letters picked without replacement from oczue. Give prob of picking 1 c and 1 o.\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, s: 6, h: 1, f: 3, k: 2, w: 2}. Give prob of sequence ss.\n' | b'1/7\n' | b'Two letters picked without replacement from {a: 1, s: 6, h: 1, f: 3, k: 2, w: 2}. Give prob of sequence ss.\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the third derivative of 34*c**2 - 3*c**2 - 25*c**6 - 81*c**2 wrt c?\n' | b'-3000*c**3\n' | b'What is the third derivative of 34*c**2 - 3*c**2 - 25*c**6 - 81*c**2 wrt c?\n' | b'-3000*c**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, a: 1, l: 1, w: 1, f: 1}. What is prob of picking 1 b, 1 a, and 1 w?\n' | b'1/10\n' | b'Three letters picked without replacement from {b: 1, a: 1, l: 1, w: 1, f: 1}. What is prob of picking 1 b, 1 a, and 1 w?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 3 = -3*d + 9. Let v be 4/(-7)*7/(-2). Let i(f) = 1 + 0 + f + 1 - 3*f**v. Calculate i(d).\n' | b'-8\n' | b'Suppose 3 = -3*d + 9. Let v be 4/(-7)*7/(-2). Let i(f) = 1 + 0 + f + 1 - 3*f**v. Calculate i(d).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (b**1)**(1/57)*(b/(b/(b**(-1/3)/b))*b)**(-3/31) assuming b is positive.\n' | b'b**(88/1767)\n' | b'Simplify (b**1)**(1/57)*(b/(b/(b**(-1/3)/b))*b)**(-3/31) assuming b is positive.\n' | b'b**(88/1767)\n' | deepmind/math_dataset |
b'Simplify (x*x**(-4/3))**(5/9)/(x**22)**(-12/7) assuming x is positive.\n' | b'x**(7093/189)\n' | b'Simplify (x*x**(-4/3))**(5/9)/(x**22)**(-12/7) assuming x is positive.\n' | b'x**(7093/189)\n' | deepmind/math_dataset |
b'Let p(g) = g**2 - 22*g + 23. Let b be p(21). What is the third derivative of -114*o**3 + 70 - b*o**2 + 5*o**6 + 114*o**3 wrt o?\n' | b'600*o**3\n' | b'Let p(g) = g**2 - 22*g + 23. Let b be p(21). What is the third derivative of -114*o**3 + 70 - b*o**2 + 5*o**6 + 114*o**3 wrt o?\n' | b'600*o**3\n' | deepmind/math_dataset |
b'Simplify (p/p**(-13))/(p**(-1)*p) assuming p is positive.\n' | b'p**14\n' | b'Simplify (p/p**(-13))/(p**(-1)*p) assuming p is positive.\n' | b'p**14\n' | deepmind/math_dataset |
b'Let l(j) = -j - 4. Let s be l(-7). What is the first derivative of 3*a + a + s - 5 wrt a?\n' | b'4\n' | b'Let l(j) = -j - 4. Let s be l(-7). What is the first derivative of 3*a + a + s - 5 wrt a?\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = -7*y + 4*y + 6. What is the second derivative of s**2 + 4*s + 6*s**y + 2*s**3 - 7*s**2 wrt s?\n' | b'12*s\n' | b'Suppose 0 = -7*y + 4*y + 6. What is the second derivative of s**2 + 4*s + 6*s**y + 2*s**3 - 7*s**2 wrt s?\n' | b'12*s\n' | deepmind/math_dataset |
b'Let x(y) = -3 - 3*y + 3 - 1. Suppose -5*r + 1 = -j - 0, -3*j + 14 = 2*r. Let d be 1 + -1 - 2 - r. Determine x(d).\n' | b'8\n' | b'Let x(y) = -3 - 3*y + 3 - 1. Suppose -5*r + 1 = -j - 0, -3*j + 14 = 2*r. Let d be 1 + -1 - 2 - r. Determine x(d).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -b + 9 = -9. Suppose -6*q - b = -78. Solve -3*p + 2*o = -15, p - q = -5*o - 5 for p.\n' | b'5\n' | b'Suppose -b + 9 = -9. Suppose -6*q - b = -78. Solve -3*p + 2*o = -15, p - q = -5*o - 5 for p.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence pn when two letters picked without replacement from nnxnnppnxxnpxpn?\n' | b'2/15\n' | b'What is prob of sequence pn when two letters picked without replacement from nnxnnppnxxnpxpn?\n' | b'2/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, n: 1, k: 5, q: 1, t: 3}. What is prob of picking 1 n, 1 k, and 1 t?\n' | b'3/44\n' | b'Three letters picked without replacement from {g: 2, n: 1, k: 5, q: 1, t: 3}. What is prob of picking 1 n, 1 k, and 1 t?\n' | b'3/44\n' | deepmind/math_dataset |
b'Let z = -1041 - -1046. Solve 3*o = z*l - 22, -3*o - 10 = 2*l - l for o.\n' | b'-4\n' | b'Let z = -1041 - -1046. Solve 3*o = z*l - 22, -3*o - 10 = 2*l - l for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 3*n = 3 - 0. Let p be (2 + -2)*(-1)/n. Solve -13 = -s - 4*k, s - 3*k + 0*k + 15 = p for s.\n' | b'-3\n' | b'Suppose 3*n = 3 - 0. Let p be (2 + -2)*(-1)/n. Solve -13 = -s - 4*k, s - 3*k + 0*k + 15 = p for s.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 c when two letters picked without replacement from scsrisccrcx?\n' | b'4/55\n' | b'What is prob of picking 1 i and 1 c when two letters picked without replacement from scsrisccrcx?\n' | b'4/55\n' | deepmind/math_dataset |
b'Let b be (6 + 0)*(-10)/(-20). Let d be 0/(0 - (-3 + 2)). Solve -4*r + d*r = -i + 7, -3*r = -b*i + 12 for r.\n' | b'-1\n' | b'Let b be (6 + 0)*(-10)/(-20). Let d be 0/(0 - (-3 + 2)). Solve -4*r + d*r = -i + 7, -3*r = -b*i + 12 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(g) = -25*g + 6. Let r(q) = -43*q + 11. Let x(f) = 7*d(f) - 4*r(f). What is x(2)?\n' | b'-8\n' | b'Let d(g) = -25*g + 6. Let r(q) = -43*q + 11. Let x(f) = 7*d(f) - 4*r(f). What is x(2)?\n' | b'-8\n' | deepmind/math_dataset |
b'Let f(y) = -y - 6. Let j = 500 + -497. Let n be (-3)/(-6)*(-16 + j - -5). What is f(n)?\n' | b'-2\n' | b'Let f(y) = -y - 6. Let j = 500 + -497. Let n be (-3)/(-6)*(-16 + j - -5). What is f(n)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((o/o**(2/3))**(-2/21))**9 assuming o is positive.\n' | b'o**(-2/7)\n' | b'Simplify ((o/o**(2/3))**(-2/21))**9 assuming o is positive.\n' | b'o**(-2/7)\n' | deepmind/math_dataset |
b'Simplify (((l/(l**(-1/3)*l)*l)/l*(l*l**(-1/8))/l)/(l**2*l*l**(-1/4)/l))**40 assuming l is positive.\n' | b'l**(-185/3)\n' | b'Simplify (((l/(l**(-1/3)*l)*l)/l*(l*l**(-1/8))/l)/(l**2*l*l**(-1/4)/l))**40 assuming l is positive.\n' | b'l**(-185/3)\n' | deepmind/math_dataset |
b'Simplify d**(-2/9)/d**(-4/3) assuming d is positive.\n' | b'd**(10/9)\n' | b'Simplify d**(-2/9)/d**(-4/3) assuming d is positive.\n' | b'd**(10/9)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {p: 2, v: 1, l: 2}.\n' | b'1/5\n' | b'Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {p: 2, v: 1, l: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 2 n, and 1 c when four letters picked without replacement from gkunc.\n' | b'0\n' | b'Calculate prob of picking 1 k, 2 n, and 1 c when four letters picked without replacement from gkunc.\n' | b'0\n' | deepmind/math_dataset |
b'Differentiate 31130*u - 428 - 37 - 30873*u wrt u.\n' | b'257\n' | b'Differentiate 31130*u - 428 - 37 - 30873*u wrt u.\n' | b'257\n' | deepmind/math_dataset |
b'Let w(a) = 5*a**3. Let t be w(-1). Let b(f) be the first derivative of f**4/4 + 2*f**3 + 5*f**2/2 + 7*f - 23. Give b(t).\n' | b'7\n' | b'Let w(a) = 5*a**3. Let t be w(-1). Let b(f) be the first derivative of f**4/4 + 2*f**3 + 5*f**2/2 + 7*f - 23. Give b(t).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 1 n when two letters picked without replacement from nnfnnffnnnn?\n' | b'24/55\n' | b'What is prob of picking 1 f and 1 n when two letters picked without replacement from nnfnnffnnnn?\n' | b'24/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, r: 5, n: 4, s: 3}. What is prob of picking 1 z and 2 r?\n' | b'5/143\n' | b'Three letters picked without replacement from {z: 1, r: 5, n: 4, s: 3}. What is prob of picking 1 z and 2 r?\n' | b'5/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, t: 6, x: 1, d: 4, u: 4, h: 2}. Give prob of sequence dtbu.\n' | b'4/1615\n' | b'Four letters picked without replacement from {b: 3, t: 6, x: 1, d: 4, u: 4, h: 2}. Give prob of sequence dtbu.\n' | b'4/1615\n' | deepmind/math_dataset |
b'Let p(f) = f + 2. Let w be p(5). Suppose w*k - 5 = 2. Let b(d) = d - 1 + 2 - 3 + k. Give b(8).\n' | b'7\n' | b'Let p(f) = f + 2. Let w be p(5). Suppose w*k - 5 = 2. Let b(d) = d - 1 + 2 - 3 + k. Give b(8).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 6 = 12*u - 11*u. Find the third derivative of -9*v**2 - 10*v**6 - 3*v**2 + 3*v**u wrt v.\n' | b'-840*v**3\n' | b'Suppose 6 = 12*u - 11*u. Find the third derivative of -9*v**2 - 10*v**6 - 3*v**2 + 3*v**u wrt v.\n' | b'-840*v**3\n' | deepmind/math_dataset |
b'Let i(o) = 2*o**3 - 5*o**2 - 10*o + 18. Let h be i(3). Let k(r) = -3*r**2 - r. Calculate k(h).\n' | b'-24\n' | b'Let i(o) = 2*o**3 - 5*o**2 - 10*o + 18. Let h be i(3). Let k(r) = -3*r**2 - r. Calculate k(h).\n' | b'-24\n' | deepmind/math_dataset |
b'Let v be -1 - (-26)/10 - 14/(-35). Let l(h) be the third derivative of 0*h - 1/6*h**3 + 1/60*h**5 + 0 - 2*h**v + 0*h**4. Differentiate l(b) with respect to b.\n' | b'2*b\n' | b'Let v be -1 - (-26)/10 - 14/(-35). Let l(h) be the third derivative of 0*h - 1/6*h**3 + 1/60*h**5 + 0 - 2*h**v + 0*h**4. Differentiate l(b) with respect to b.\n' | b'2*b\n' | deepmind/math_dataset |
b'Let j be (2/5)/((-4)/(-100)). Suppose 4*v + b - j = 0, 0 = 5*v + 5*b - 31 + 11. What is the third derivative of -k**6 + k**v - k**2 - k**2 wrt k?\n' | b'-120*k**3\n' | b'Let j be (2/5)/((-4)/(-100)). Suppose 4*v + b - j = 0, 0 = 5*v + 5*b - 31 + 11. What is the third derivative of -k**6 + k**v - k**2 - k**2 wrt k?\n' | b'-120*k**3\n' | deepmind/math_dataset |
b'Let d(r) = 2*r**2 - r. Let w be d(1). Let k be (15/20)/(w/(-24)). Let x be ((-33)/(-9))/((-3)/k). Solve -3*j = j + 2*p, 3*p + x = 5*j for j.\n' | b'2\n' | b'Let d(r) = 2*r**2 - r. Let w be d(1). Let k be (15/20)/(w/(-24)). Let x be ((-33)/(-9))/((-3)/k). Solve -3*j = j + 2*p, 3*p + x = 5*j for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let r(w) = w**4 + 4*w**3 - 57*w - 146. Let f(m) = 5*m**4 + 18*m**3 - 227*m - 584. Let j(q) = -2*f(q) + 9*r(q). Find the first derivative of j(z) wrt z.\n' | b'-4*z**3 - 59\n' | b'Let r(w) = w**4 + 4*w**3 - 57*w - 146. Let f(m) = 5*m**4 + 18*m**3 - 227*m - 584. Let j(q) = -2*f(q) + 9*r(q). Find the first derivative of j(z) wrt z.\n' | b'-4*z**3 - 59\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, e: 2, c: 2, p: 4}. What is prob of picking 3 p and 1 e?\n' | b'4/63\n' | b'Four letters picked without replacement from {s: 1, e: 2, c: 2, p: 4}. What is prob of picking 3 p and 1 e?\n' | b'4/63\n' | deepmind/math_dataset |
b'Let n(q) = 6*q**3 + q**2 + 6*q - 6. Let c be n(1). Let h(m) = -m**2 + 12*m - 2. Calculate h(c).\n' | b'33\n' | b'Let n(q) = 6*q**3 + q**2 + 6*q - 6. Let c be n(1). Let h(m) = -m**2 + 12*m - 2. Calculate h(c).\n' | b'33\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, k: 4, c: 2}. Give prob of sequence kckc.\n' | b'1/35\n' | b'Four letters picked without replacement from {i: 1, k: 4, c: 2}. Give prob of sequence kckc.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let x(v) = -v + 20. Let c be x(16). Suppose 1 + 51 = c*z - 4*l, z = 5*l + 17. Suppose -6 = -6*q + z. Solve 16 = u - q*o, -5*u = o - 10 - 6 for u.\n' | b'4\n' | b'Let x(v) = -v + 20. Let c be x(16). Suppose 1 + 51 = c*z - 4*l, z = 5*l + 17. Suppose -6 = -6*q + z. Solve 16 = u - q*o, -5*u = o - 10 - 6 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Let l be (-30)/70*(-28)/6. Solve 0 = -4*a + l*a - 4*k, -3 = a + 5*k for a.\n' | b'2\n' | b'Let l be (-30)/70*(-28)/6. Solve 0 = -4*a + l*a - 4*k, -3 = a + 5*k for a.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (f*f/(f/(f**(-3)/f)))**30*((f/(f*f*f**(5/4)*f*f*f))/f)/((f**(2/51)/f)/f*f*f) assuming f is positive.\n' | b'f**(-19643/204)\n' | b'Simplify (f*f/(f/(f**(-3)/f)))**30*((f/(f*f*f**(5/4)*f*f*f))/f)/((f**(2/51)/f)/f*f*f) assuming f is positive.\n' | b'f**(-19643/204)\n' | deepmind/math_dataset |
b'Suppose -7*i - 42 = -9*i. Let m be (i/(-9) + 3)/((-2)/(-129)). Find the third derivative of -m*s**5 - 14*s**2 - 4*s**2 + 29*s**5 wrt s.\n' | b'-840*s**2\n' | b'Suppose -7*i - 42 = -9*i. Let m be (i/(-9) + 3)/((-2)/(-129)). Find the third derivative of -m*s**5 - 14*s**2 - 4*s**2 + 29*s**5 wrt s.\n' | b'-840*s**2\n' | deepmind/math_dataset |
b'Let v(w) = w + 12. Let g be v(-9). Let l = g - 1. Suppose 0*r - 8 = -l*s - 3*r, -3*s = -3*r + 3. Let d(c) = 4*c + 1. What is d(s)?\n' | b'5\n' | b'Let v(w) = w + 12. Let g be v(-9). Let l = g - 1. Suppose 0*r - 8 = -l*s - 3*r, -3*s = -3*r + 3. Let d(c) = 4*c + 1. What is d(s)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*q + 5*d + 18 = 0, -4*q - q = -2*d - 30. Let g(o) = o + 14. Let n be g(q). Solve 3*j + j = h + 20, -3*h = 4*j - n for h.\n' | b'0\n' | b'Suppose -3*q + 5*d + 18 = 0, -4*q - q = -2*d - 30. Let g(o) = o + 14. Let n be g(q). Solve 3*j + j = h + 20, -3*h = 4*j - n for h.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from blxlkb. What is prob of sequence bk?\n' | b'1/15\n' | b'Two letters picked without replacement from blxlkb. What is prob of sequence bk?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(p) = -199*p**3 - 439*p. Let u(a) = -992*a**3 - 2194*a. Let k(w) = 14*c(w) - 3*u(w). Find the second derivative of k(g) wrt g.\n' | b'1140*g\n' | b'Let c(p) = -199*p**3 - 439*p. Let u(a) = -992*a**3 - 2194*a. Let k(w) = 14*c(w) - 3*u(w). Find the second derivative of k(g) wrt g.\n' | b'1140*g\n' | deepmind/math_dataset |
b'Let y(w) = -534*w**3 + 4*w**2 - 15*w - 784. Let g(t) = 266*t**3 - 2*t**2 + 6*t + 391. Let p(k) = -5*g(k) - 2*y(k). Differentiate p(q) with respect to q.\n' | b'-786*q**2 + 4*q\n' | b'Let y(w) = -534*w**3 + 4*w**2 - 15*w - 784. Let g(t) = 266*t**3 - 2*t**2 + 6*t + 391. Let p(k) = -5*g(k) - 2*y(k). Differentiate p(q) with respect to q.\n' | b'-786*q**2 + 4*q\n' | deepmind/math_dataset |
b'Simplify ((d*d**25)/(d*d*d**(-8)*d))**(-1/28) assuming d is positive.\n' | b'd**(-31/28)\n' | b'Simplify ((d*d**25)/(d*d*d**(-8)*d))**(-1/28) assuming d is positive.\n' | b'd**(-31/28)\n' | deepmind/math_dataset |
b'Let h(b) = -2*b**2 - 5*b - 1. Suppose 4*n - g - 3*g = 0, 9 = n + 2*g. Let f(m) = 3*m**2 + 2*m**2 + 5*m - 2*m**2. Let p(y) = n*f(y) + 4*h(y). What is p(4)?\n' | b'-8\n' | b'Let h(b) = -2*b**2 - 5*b - 1. Suppose 4*n - g - 3*g = 0, 9 = n + 2*g. Let f(m) = 3*m**2 + 2*m**2 + 5*m - 2*m**2. Let p(y) = n*f(y) + 4*h(y). What is p(4)?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, b: 7, s: 3, f: 2, c: 3, y: 2}. What is prob of sequence kc?\n' | b'1/102\n' | b'Two letters picked without replacement from {k: 1, b: 7, s: 3, f: 2, c: 3, y: 2}. What is prob of sequence kc?\n' | b'1/102\n' | deepmind/math_dataset |
b'Let s be (-10)/(-5) + 16*1*2. Let i = s + -8. Let v = i - 22. Solve -3*z + 0*z - p + 5 = 0, -2*z + v*p = -8 for z.\n' | b'2\n' | b'Let s be (-10)/(-5) + 16*1*2. Let i = s + -8. Let v = i - 22. Solve -3*z + 0*z - p + 5 = 0, -2*z + v*p = -8 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence gggm when four letters picked without replacement from mbmgg.\n' | b'0\n' | b'Calculate prob of sequence gggm when four letters picked without replacement from mbmgg.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(d) be the second derivative of -d**3/6 - 15*d**2/2 + 12*d - 3. Let h(i) = i + 14. Let z(r) = 4*h(r) + 5*q(r). Calculate z(-8).\n' | b'-11\n' | b'Let q(d) be the second derivative of -d**3/6 - 15*d**2/2 + 12*d - 3. Let h(i) = i + 14. Let z(r) = 4*h(r) + 5*q(r). Calculate z(-8).\n' | b'-11\n' | deepmind/math_dataset |
b'Let c(f) be the second derivative of -23/6*f**3 + 13/2*f**2 - 27*f + 0. Differentiate c(d) wrt d.\n' | b'-23\n' | b'Let c(f) be the second derivative of -23/6*f**3 + 13/2*f**2 - 27*f + 0. Differentiate c(d) wrt d.\n' | b'-23\n' | deepmind/math_dataset |
b'Three letters picked without replacement from irclmfmfrmfmimr. What is prob of picking 1 f and 2 i?\n' | b'3/455\n' | b'Three letters picked without replacement from irclmfmfrmfmimr. What is prob of picking 1 f and 2 i?\n' | b'3/455\n' | deepmind/math_dataset |
b'Let m(g) = -g**2 + 6*g. Let o be m(5). Let l(d) = -3*d**2 + 5. Let y(s) = 3*s**2 - s - 4. Let z(r) = o*y(r) + 4*l(r). Find the second derivative of z(w) wrt w.\n' | b'6\n' | b'Let m(g) = -g**2 + 6*g. Let o be m(5). Let l(d) = -3*d**2 + 5. Let y(s) = 3*s**2 - s - 4. Let z(r) = o*y(r) + 4*l(r). Find the second derivative of z(w) wrt w.\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((s**6/(s*s**(1/8)))/(s*s*s**(4/7)*s**(-8)))**(8/3) assuming s is positive.\n' | b's**(577/21)\n' | b'Simplify ((s**6/(s*s**(1/8)))/(s*s*s**(4/7)*s**(-8)))**(8/3) assuming s is positive.\n' | b's**(577/21)\n' | deepmind/math_dataset |
b'Let p(j) = 1680*j + 10400. Let x(f) = -80*f - 495. Let n(q) = 4*p(q) + 85*x(q). Calculate n(-6).\n' | b'5\n' | b'Let p(j) = 1680*j + 10400. Let x(f) = -80*f - 495. Let n(q) = 4*p(q) + 85*x(q). Calculate n(-6).\n' | b'5\n' | deepmind/math_dataset |
b'Let m be ((-6275)/502)/((-1)/(-3) - 10/12). Solve 4 = 2*y, -m*l = -30*l - 3*y - 14 for l.\n' | b'-4\n' | b'Let m be ((-6275)/502)/((-1)/(-3) - 10/12). Solve 4 = 2*y, -m*l = -30*l - 3*y - 14 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, h: 2, p: 1, z: 1}. What is prob of sequence zh?\n' | b'1/15\n' | b'Two letters picked without replacement from {a: 2, h: 2, p: 1, z: 1}. What is prob of sequence zh?\n' | b'1/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnqwqnwnqwwn. Give prob of picking 2 n.\n' | b'5/33\n' | b'Two letters picked without replacement from nnqwqnwnqwwn. Give prob of picking 2 n.\n' | b'5/33\n' | deepmind/math_dataset |
b'Simplify (j**(3/23))**47*j*j*j**(-1/20)*j*j*j**40 assuming j is positive.\n' | b'j**(23037/460)\n' | b'Simplify (j**(3/23))**47*j*j*j**(-1/20)*j*j*j**40 assuming j is positive.\n' | b'j**(23037/460)\n' | deepmind/math_dataset |
b'Suppose -7*n - k = -3*n - 21, -3*n + 12 = 2*k. Let q be 1/1 - (11 - 5). Let a = n - q. Solve 0*i = 4*i - 2*r + 14, 3*i - r + a = 0 for i.\n' | b'-4\n' | b'Suppose -7*n - k = -3*n - 21, -3*n + 12 = 2*k. Let q be 1/1 - (11 - 5). Let a = n - q. Solve 0*i = 4*i - 2*r + 14, 3*i - r + a = 0 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s = 17 - 14. Find the second derivative of 5*n**4 - n**4 + 8*n - n**s + n**3 wrt n.\n' | b'48*n**2\n' | b'Let s = 17 - 14. Find the second derivative of 5*n**4 - n**4 + 8*n - n**s + n**3 wrt n.\n' | b'48*n**2\n' | deepmind/math_dataset |
b'Let k(l) = 6*l + 68. Let q be k(-9). Suppose 4*o - 36 = -q*o. Suppose 2*y - 8 + 2 = 0. Solve 3*z + z = y*c - 16, o*z - 14 = -4*c for z.\n' | b'-1\n' | b'Let k(l) = 6*l + 68. Let q be k(-9). Suppose 4*o - 36 = -q*o. Suppose 2*y - 8 + 2 = 0. Solve 3*z + z = y*c - 16, o*z - 14 = -4*c for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, g: 3, n: 1, y: 3}. Give prob of sequence ng.\n' | b'1/30\n' | b'Two letters picked without replacement from {e: 3, g: 3, n: 1, y: 3}. Give prob of sequence ng.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let w = 0 + 2. Suppose -5*p + 5 = -d, -d - 3*d + 24 = w*p. What is the derivative of b**2 + 3 - 6*b**2 + 0 + 2*b**p wrt b?\n' | b'-6*b\n' | b'Let w = 0 + 2. Suppose -5*p + 5 = -d, -d - 3*d + 24 = w*p. What is the derivative of b**2 + 3 - 6*b**2 + 0 + 2*b**p wrt b?\n' | b'-6*b\n' | deepmind/math_dataset |
b'What is prob of sequence wmtk when four letters picked without replacement from {m: 2, w: 2, j: 1, t: 1, k: 2}?\n' | b'1/210\n' | b'What is prob of sequence wmtk when four letters picked without replacement from {m: 2, w: 2, j: 1, t: 1, k: 2}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let t(m) = 6 + 13*m - 7*m - 3*m - m - m. Let z be t(-1). Let u(h) = -h + 2 + 5 + 2. Give u(z).\n' | b'4\n' | b'Let t(m) = 6 + 13*m - 7*m - 3*m - m - m. Let z be t(-1). Let u(h) = -h + 2 + 5 + 2. Give u(z).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify w**(-3/10)/(w*w/(w/(w/(w**(-2)*w*w)))*w) assuming w is positive.\n' | b'w**(-33/10)\n' | b'Simplify w**(-3/10)/(w*w/(w/(w/(w**(-2)*w*w)))*w) assuming w is positive.\n' | b'w**(-33/10)\n' | deepmind/math_dataset |
b'Let j(g) be the first derivative of g**4/4 - 4*g**3 - 6*g**2 - 5*g - 1149. What is j(13)?\n' | b'8\n' | b'Let j(g) be the first derivative of g**4/4 - 4*g**3 - 6*g**2 - 5*g - 1149. What is j(13)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tttttttttttjttttttjt.\n' | b'18/95\n' | b'Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tttttttttttjttttttjt.\n' | b'18/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from efekffmelef. Give prob of sequence km.\n' | b'1/110\n' | b'Two letters picked without replacement from efekffmelef. Give prob of sequence km.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let n(h) be the second derivative of -13/2*h**2 + 0*h**5 + 6*h + 0*h**3 + 0 + 1/6*h**6 + 0*h**4. Differentiate n(j) with respect to j.\n' | b'20*j**3\n' | b'Let n(h) be the second derivative of -13/2*h**2 + 0*h**5 + 6*h + 0*h**3 + 0 + 1/6*h**6 + 0*h**4. Differentiate n(j) with respect to j.\n' | b'20*j**3\n' | deepmind/math_dataset |
b'Suppose -l + 4 = 5*o, -2*l + 2*o + 35 - 3 = 0. Solve -4*b + 2 = -f + 24, 2*f - 2*b = l for f.\n' | b'2\n' | b'Suppose -l + 4 = 5*o, -2*l + 2*o + 35 - 3 = 0. Solve -4*b + 2 = -f + 24, 2*f - 2*b = l for f.\n' | b'2\n' | deepmind/math_dataset |
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