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'Two letters picked without replacement from {r: 6, d: 2, z: 5, w: 1, o: 2, b: 1}. Give prob of picking 1 d and 1 z.\n' | b'5/68\n' | b'Two letters picked without replacement from {r: 6, d: 2, z: 5, w: 1, o: 2, b: 1}. Give prob of picking 1 d and 1 z.\n' | b'5/68\n' | deepmind/math_dataset |
b'Simplify ((y*y**8)**(25/6)/(y**(-5))**(-3/46))**(-2/7) assuming y is positive.\n' | b'y**(-1710/161)\n' | b'Simplify ((y*y**8)**(25/6)/(y**(-5))**(-3/46))**(-2/7) assuming y is positive.\n' | b'y**(-1710/161)\n' | deepmind/math_dataset |
b'What is prob of sequence ull when three letters picked without replacement from {l: 3, u: 2}?\n' | b'1/5\n' | b'What is prob of sequence ull when three letters picked without replacement from {l: 3, u: 2}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let v(z) = z**3 - 6*z**2 + 5*z + 1. Let w(i) = 2*i**3 - 4*i**2 + 3*i - 1. Let x be w(2). Give v(x).\n' | b'1\n' | b'Let v(z) = z**3 - 6*z**2 + 5*z + 1. Let w(i) = 2*i**3 - 4*i**2 + 3*i - 1. Let x be w(2). Give v(x).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 6, w: 4}. Give prob of picking 4 y.\n' | b'1/14\n' | b'Four letters picked without replacement from {y: 6, w: 4}. Give prob of picking 4 y.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (k**(2/11))**(-48)*k**(-2/19)/(k**(2/5)/k) assuming k is positive.\n' | b'k**(-8603/1045)\n' | b'Simplify (k**(2/11))**(-48)*k**(-2/19)/(k**(2/5)/k) assuming k is positive.\n' | b'k**(-8603/1045)\n' | deepmind/math_dataset |
b'Suppose -20 = -5*s + s. Let d(i) = i - 3. Let f be d(s). What is the first derivative of 7*u + 5 + 0*u - f*u + 3*u wrt u?\n' | b'8\n' | b'Suppose -20 = -5*s + s. Let d(i) = i - 3. Let f be d(s). What is the first derivative of 7*u + 5 + 0*u - f*u + 3*u wrt u?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 1 o, and 1 j when three letters picked without replacement from {u: 7, j: 2, k: 2, o: 2, i: 1, w: 2}.\n' | b'1/70\n' | b'Calculate prob of picking 1 k, 1 o, and 1 j when three letters picked without replacement from {u: 7, j: 2, k: 2, o: 2, i: 1, w: 2}.\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence soa when three letters picked without replacement from awsossasowsso?\n' | b'3/143\n' | b'What is prob of sequence soa when three letters picked without replacement from awsossasowsso?\n' | b'3/143\n' | deepmind/math_dataset |
b'Let t be (4 + (-3 - 0))*12. Solve -3*j + 3*v + 28 = 2*j, 2*j = 2*v + t for j.\n' | b'5\n' | b'Let t be (4 + (-3 - 0))*12. Solve -3*j + 3*v + 28 = 2*j, 2*j = 2*v + t for j.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 5, z: 2, q: 4}. What is prob of picking 2 e?\n' | b'2/11\n' | b'Two letters picked without replacement from {e: 5, z: 2, q: 4}. What is prob of picking 2 e?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let d(h) = -14*h**2 + 8*h + 6. Let u be (2 - -3)*(-12)/15. Let r(g) = -5*g**2 + 3*g + 2. Let x(b) = u*d(b) + 11*r(b). What is x(0)?\n' | b'-2\n' | b'Let d(h) = -14*h**2 + 8*h + 6. Let u be (2 - -3)*(-12)/15. Let r(g) = -5*g**2 + 3*g + 2. Let x(b) = u*d(b) + 11*r(b). What is x(0)?\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, p: 2, r: 2, k: 3, v: 2, l: 1}. Give prob of sequence vkp.\n' | b'1/110\n' | b'Three letters picked without replacement from {c: 2, p: 2, r: 2, k: 3, v: 2, l: 1}. Give prob of sequence vkp.\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (w**1)**44*(w/((w/(w**(-2/7)*w))/w*w)*w*w)/((w/(w*(w/((w*w*w**(12/5)*w)/w))/w*w))/w) assuming w is positive.\n' | b'w**(1551/35)\n' | b'Simplify (w**1)**44*(w/((w/(w**(-2/7)*w))/w*w)*w*w)/((w/(w*(w/((w*w*w**(12/5)*w)/w))/w*w))/w) assuming w is positive.\n' | b'w**(1551/35)\n' | deepmind/math_dataset |
b'What is prob of sequence crcr when four letters picked without replacement from {v: 1, r: 3, o: 1, a: 2, q: 3, c: 2}?\n' | b'1/990\n' | b'What is prob of sequence crcr when four letters picked without replacement from {v: 1, r: 3, o: 1, a: 2, q: 3, c: 2}?\n' | b'1/990\n' | deepmind/math_dataset |
b'Suppose 0 = 55*p + 133*p - 752. Let t(k) be the first derivative of 10 + 15/2*k**2 + 13/4*k**p + 0*k + 0*k**3. What is the second derivative of t(d) wrt d?\n' | b'78*d\n' | b'Suppose 0 = 55*p + 133*p - 752. Let t(k) be the first derivative of 10 + 15/2*k**2 + 13/4*k**p + 0*k + 0*k**3. What is the second derivative of t(d) wrt d?\n' | b'78*d\n' | deepmind/math_dataset |
b'Let j(s) = s - 5. Let z be j(5). Let i = -23 + 25. Suppose z = 3*a, -5*a - 10 = -2*k + i. Solve -3*h + g - k = -4*h, 1 = g for h.\n' | b'5\n' | b'Let j(s) = s - 5. Let z be j(5). Let i = -23 + 25. Suppose z = 3*a, -5*a - 10 = -2*k + i. Solve -3*h + g - k = -4*h, 1 = g for h.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 24 - 10 = 5*s + g, 0 = -4*s + g + 13. Find the first derivative of s*a + 4*a - 16 - 7*a - 4*a wrt a.\n' | b'-4\n' | b'Suppose 24 - 10 = 5*s + g, 0 = -4*s + g + 13. Find the first derivative of s*a + 4*a - 16 - 7*a - 4*a wrt a.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(f) be the first derivative of -583*f**7/7 + f**3/3 + 49*f + 192. Find the third derivative of r(s) wrt s.\n' | b'-69960*s**3\n' | b'Let r(f) be the first derivative of -583*f**7/7 + f**3/3 + 49*f + 192. Find the third derivative of r(s) wrt s.\n' | b'-69960*s**3\n' | deepmind/math_dataset |
b'Let w = -375 - -378. Solve 4*l - w*s = -26, -6*s = -3*l - 4*s - 19 for l.\n' | b'-5\n' | b'Let w = -375 - -378. Solve 4*l - w*s = -26, -6*s = -3*l - 4*s - 19 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((o**(2/3))**(-1)*(o/((o**(-6/5)*o)/o))/(o/(o*o*o*o**(1/3))*o))/(o**0*o**(5/6)/o*o**2*o**(-4)) assuming o is positive.\n' | b'o**(151/30)\n' | b'Simplify ((o**(2/3))**(-1)*(o/((o**(-6/5)*o)/o))/(o/(o*o*o*o**(1/3))*o))/(o**0*o**(5/6)/o*o**2*o**(-4)) assuming o is positive.\n' | b'o**(151/30)\n' | deepmind/math_dataset |
b'Simplify (p/((p/(p/(p/(p*p**10)))*p)/p)*p**2/p)**4 assuming p is positive.\n' | b'p**48\n' | b'Simplify (p/((p/(p/(p/(p*p**10)))*p)/p)*p**2/p)**4 assuming p is positive.\n' | b'p**48\n' | deepmind/math_dataset |
b'Let y(d) be the second derivative of d**5/20 - d**4/6 - d**3/3 - 3*d**2/2 - d. Suppose -3*b = -5*n + 11, -4*b + 15 = b. Let g = 7 - n. What is y(g)?\n' | b'0\n' | b'Let y(d) be the second derivative of d**5/20 - d**4/6 - d**3/3 - 3*d**2/2 - d. Suppose -3*b = -5*n + 11, -4*b + 15 = b. Let g = 7 - n. What is y(g)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((k**(-1/3))**(2/3))**(-32)/((k**(-1/4))**(-11/6)*k/k**(1/4)*k*k**2*k*k) assuming k is positive.\n' | b'k**(65/72)\n' | b'Simplify ((k**(-1/3))**(2/3))**(-32)/((k**(-1/4))**(-11/6)*k/k**(1/4)*k*k**2*k*k) assuming k is positive.\n' | b'k**(65/72)\n' | deepmind/math_dataset |
b'Let w be (-1 - -1) + (-13 - -13). Solve -5*r + 9 = t, t - 5*r + 2 - 1 = w for t.\n' | b'4\n' | b'Let w be (-1 - -1) + (-13 - -13). Solve -5*r + 9 = t, t - 5*r + 2 - 1 = w for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let d(s) = s + 5. Let k be d(-5). Suppose -b + 2*b - 3 = k. Find the first derivative of 6*p**b - p**3 + p**3 - 3*p**3 + 2 wrt p.\n' | b'9*p**2\n' | b'Let d(s) = s + 5. Let k be d(-5). Suppose -b + 2*b - 3 = k. Find the first derivative of 6*p**b - p**3 + p**3 - 3*p**3 + 2 wrt p.\n' | b'9*p**2\n' | deepmind/math_dataset |
b'Simplify ((x*x/((x*(x**(1/4)*x*x)/x)/x))/((x/(x**(-1/2)/x*x))/x))/(x**(3/4)*x*x**7/x)*x/(x*x/x**(3/2))*x*x*x/(x*x**5)*x*x**(-2/15)*x**7 assuming x is positive.\n' | b'x**(-32/15)\n' | b'Simplify ((x*x/((x*(x**(1/4)*x*x)/x)/x))/((x/(x**(-1/2)/x*x))/x))/(x**(3/4)*x*x**7/x)*x/(x*x/x**(3/2))*x*x*x/(x*x**5)*x*x**(-2/15)*x**7 assuming x is positive.\n' | b'x**(-32/15)\n' | deepmind/math_dataset |
b'Let n be (-5)/3*(-14 + 11). Suppose n*g + 7 = 32. Solve o + 22 = -4*f, -4*f + 9*f = -g*o - 35 for o.\n' | b'-2\n' | b'Let n be (-5)/3*(-14 + 11). Suppose n*g + 7 = 32. Solve o + 22 = -4*f, -4*f + 9*f = -g*o - 35 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(o) be the third derivative of -o**5/30 + 847*o**4/24 + 140*o**3/3 + 35*o**2 - 14. Find the first derivative of g(f) wrt f.\n' | b'-4*f + 847\n' | b'Let g(o) be the third derivative of -o**5/30 + 847*o**4/24 + 140*o**3/3 + 35*o**2 - 14. Find the first derivative of g(f) wrt f.\n' | b'-4*f + 847\n' | deepmind/math_dataset |
b'Let p(i) = i**3 - i + 1. Let u(m) = 18*m**3 - 14*m + 12. Let r(n) = -12*p(n) + u(n). What is the second derivative of r(a) wrt a?\n' | b'36*a\n' | b'Let p(i) = i**3 - i + 1. Let u(m) = 18*m**3 - 14*m + 12. Let r(n) = -12*p(n) + u(n). What is the second derivative of r(a) wrt a?\n' | b'36*a\n' | deepmind/math_dataset |
b'Simplify (p/(p*p/(((p*p**(-6)*p)/p)/p))*p)**(1/43) assuming p is positive.\n' | b'p**(-6/43)\n' | b'Simplify (p/(p*p/(((p*p**(-6)*p)/p)/p))*p)**(1/43) assuming p is positive.\n' | b'p**(-6/43)\n' | deepmind/math_dataset |
b'Suppose -273 - 3 = -146*d + 8*d. Solve 0 = -d*x - 2*x - 4*z + 4, 0 = 5*z + 20 for x.\n' | b'5\n' | b'Suppose -273 - 3 = -146*d + 8*d. Solve 0 = -d*x - 2*x - 4*z + 4, 0 = 5*z + 20 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kukwkkwkwwffkkkk. What is prob of picking 3 k and 1 u?\n' | b'3/65\n' | b'Four letters picked without replacement from kukwkkwkwwffkkkk. What is prob of picking 3 k and 1 u?\n' | b'3/65\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, i: 1, h: 9}. Give prob of sequence hwih.\n' | b'1/110\n' | b'Four letters picked without replacement from {w: 1, i: 1, h: 9}. Give prob of sequence hwih.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let w(j) be the third derivative of -j**6/120 + j**5/20 - j**4/24 - j**3/6 - 12937*j**2. Let m = 12 - 10. Calculate w(m).\n' | b'1\n' | b'Let w(j) be the third derivative of -j**6/120 + j**5/20 - j**4/24 - j**3/6 - 12937*j**2. Let m = 12 - 10. Calculate w(m).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ku when two letters picked without replacement from {u: 5, y: 1, k: 7, l: 1}.\n' | b'5/26\n' | b'Calculate prob of sequence ku when two letters picked without replacement from {u: 5, y: 1, k: 7, l: 1}.\n' | b'5/26\n' | deepmind/math_dataset |
b'Suppose 7*z = -223 + 636. Differentiate 4 + z + i**3 + 39*i**3 + 23*i**3 with respect to i.\n' | b'189*i**2\n' | b'Suppose 7*z = -223 + 636. Differentiate 4 + z + i**3 + 39*i**3 + 23*i**3 with respect to i.\n' | b'189*i**2\n' | deepmind/math_dataset |
b'Let w be -1 + -1*(-12)/2. Let h(k) = w - k**2 + 5*k - 4*k - 10 + 0*k. Determine h(0).\n' | b'-5\n' | b'Let w be -1 + -1*(-12)/2. Let h(k) = w - k**2 + 5*k - 4*k - 10 + 0*k. Determine h(0).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 14*j + 226 - 282. Solve 0 = -j*h - u - 9, h = -u - 0*u - 3 for h.\n' | b'-2\n' | b'Suppose 0 = 14*j + 226 - 282. Solve 0 = -j*h - u - 9, h = -u - 0*u - 3 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ax when two letters picked without replacement from {n: 4, x: 5, a: 8}.\n' | b'5/34\n' | b'Calculate prob of sequence ax when two letters picked without replacement from {n: 4, x: 5, a: 8}.\n' | b'5/34\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from yyqtqo?\n' | b'1/15\n' | b'What is prob of sequence qq when two letters picked without replacement from yyqtqo?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let t(u) be the third derivative of u**5/60 - u**4/8 + u**3/2 + 23*u**2 + 1. Determine t(4).\n' | b'7\n' | b'Let t(u) be the third derivative of u**5/60 - u**4/8 + u**3/2 + 23*u**2 + 1. Determine t(4).\n' | b'7\n' | deepmind/math_dataset |
b'Let y be (-3)/3 - (4 + -17). Let s be (-6)/(-2) + 24/y. Solve 20 = 2*h - s*q, 4*q + 3 = -5 for h.\n' | b'5\n' | b'Let y be (-3)/3 - (4 + -17). Let s be (-6)/(-2) + 24/y. Solve 20 = 2*h - s*q, 4*q + 3 = -5 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Let d(h) = -h**2 + 65*h - 639. Let w be d(12). Let o(m) be the second derivative of -m**3/2 + 3*m**2/2 - m. Determine o(w).\n' | b'12\n' | b'Let d(h) = -h**2 + 65*h - 639. Let w be d(12). Let o(m) be the second derivative of -m**3/2 + 3*m**2/2 - m. Determine o(w).\n' | b'12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ktxwxtxxwww. What is prob of sequence xkwt?\n' | b'2/495\n' | b'Four letters picked without replacement from ktxwxtxxwww. What is prob of sequence xkwt?\n' | b'2/495\n' | deepmind/math_dataset |
b'Let r = 3515 + -3526. Let m(c) = -7*c - 23. What is m(r)?\n' | b'54\n' | b'Let r = 3515 + -3526. Let m(c) = -7*c - 23. What is m(r)?\n' | b'54\n' | deepmind/math_dataset |
b'Let d = -18 - -18. Suppose -n + 11 + 1 = d. Let g(j) = -j**3 + 12*j**2 - j + 17. Let l be g(n). Solve -5*o = -q - 23, -l*q + 8 + 7 = o for o.\n' | b'5\n' | b'Let d = -18 - -18. Suppose -n + 11 + 1 = d. Let g(j) = -j**3 + 12*j**2 - j + 17. Let l be g(n). Solve -5*o = -q - 23, -l*q + 8 + 7 = o for o.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((l**(-2/7)*l/l**(-26))**(-1/13))**(-21) assuming l is positive.\n' | b'l**(561/13)\n' | b'Simplify ((l**(-2/7)*l/l**(-26))**(-1/13))**(-21) assuming l is positive.\n' | b'l**(561/13)\n' | deepmind/math_dataset |
b'Simplify (f**(9/4)/f)**25 assuming f is positive.\n' | b'f**(125/4)\n' | b'Simplify (f**(9/4)/f)**25 assuming f is positive.\n' | b'f**(125/4)\n' | deepmind/math_dataset |
b'Let c = 144 - 144. Solve 2*r + 3*r + 5*x - 30 = 0, c = -5*x + 20 for r.\n' | b'2\n' | b'Let c = 144 - 144. Solve 2*r + 3*r + 5*x - 30 = 0, c = -5*x + 20 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Let o(n) = n**3 - 7*n**2 + 11*n + 1. Suppose 7*t = 39 - 4. Let q be o(t). Suppose q*p + 6*p = 24. Solve 5*f - l = 26, 0 = p*l + 2 - 0 for f.\n' | b'5\n' | b'Let o(n) = n**3 - 7*n**2 + 11*n + 1. Suppose 7*t = 39 - 4. Let q be o(t). Suppose q*p + 6*p = 24. Solve 5*f - l = 26, 0 = p*l + 2 - 0 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (g*g**(-8))**(-6/13) assuming g is positive.\n' | b'g**(42/13)\n' | b'Simplify (g*g**(-8))**(-6/13) assuming g is positive.\n' | b'g**(42/13)\n' | deepmind/math_dataset |
b'Let q(t) = 4607*t**2 - 4614*t. Let m(a) = 142818*a**2 - 143052*a. Let s(n) = 5*m(n) - 156*q(n). Find the second derivative of s(u) wrt u.\n' | b'-9204\n' | b'Let q(t) = 4607*t**2 - 4614*t. Let m(a) = 142818*a**2 - 143052*a. Let s(n) = 5*m(n) - 156*q(n). Find the second derivative of s(u) wrt u.\n' | b'-9204\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, l: 4, o: 4, f: 2, t: 3, i: 3}. Give prob of picking 1 r, 1 i, and 1 t.\n' | b'9/680\n' | b'Three letters picked without replacement from {r: 1, l: 4, o: 4, f: 2, t: 3, i: 3}. Give prob of picking 1 r, 1 i, and 1 t.\n' | b'9/680\n' | deepmind/math_dataset |
b'Simplify (h**7*h/(h/h**(-1))*h*(h/h**(-2))/((((h*h/(h**(-1/7)*h))/h)/h)/h))**(-35) assuming h is positive.\n' | b'h**(-415)\n' | b'Simplify (h**7*h/(h/h**(-1))*h*(h/h**(-2))/((((h*h/(h**(-1/7)*h))/h)/h)/h))**(-35) assuming h is positive.\n' | b'h**(-415)\n' | deepmind/math_dataset |
b'What is prob of sequence pxz when three letters picked without replacement from zzzxzzzpzzz?\n' | b'1/110\n' | b'What is prob of sequence pxz when three letters picked without replacement from zzzxzzzpzzz?\n' | b'1/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qpqpdpddydqd. What is prob of picking 3 d and 1 q?\n' | b'2/33\n' | b'Four letters picked without replacement from qpqpdpddydqd. What is prob of picking 3 d and 1 q?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let y be (-2 - 15/(-5))*17. Let d = y - 2. Suppose 4*o - 9*o + d = 0. Solve 0 = -5*x + 2*a - 27, o*x = -4*a - 3 - 8 for x.\n' | b'-5\n' | b'Let y be (-2 - 15/(-5))*17. Let d = y - 2. Suppose 4*o - 9*o + d = 0. Solve 0 = -5*x + 2*a - 27, o*x = -4*a - 3 - 8 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 2, f: 1, u: 1, e: 2, j: 2, n: 1}. What is prob of sequence suej?\n' | b'1/378\n' | b'Four letters picked without replacement from {s: 2, f: 1, u: 1, e: 2, j: 2, n: 1}. What is prob of sequence suej?\n' | b'1/378\n' | deepmind/math_dataset |
b'Let n(j) be the third derivative of -j**6/15 - 4*j**3/3 - 5*j**2. Differentiate n(f) wrt f.\n' | b'-24*f**2\n' | b'Let n(j) be the third derivative of -j**6/15 - 4*j**3/3 - 5*j**2. Differentiate n(f) wrt f.\n' | b'-24*f**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 b, and 1 m when three letters picked without replacement from bwemp?\n' | b'1/10\n' | b'What is prob of picking 1 p, 1 b, and 1 m when three letters picked without replacement from bwemp?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (i/(i/(i/i**(-5))))**(-14/3) assuming i is positive.\n' | b'i**(-28)\n' | b'Simplify (i/(i/(i/i**(-5))))**(-14/3) assuming i is positive.\n' | b'i**(-28)\n' | deepmind/math_dataset |
b'Calculate prob of sequence mu when two letters picked without replacement from {o: 3, w: 1, x: 1, m: 1, u: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence mu when two letters picked without replacement from {o: 3, w: 1, x: 1, m: 1, u: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let w(u) be the first derivative of u**8/560 + u**4/8 + 2*u**3/3 + 2. Let r(b) be the third derivative of w(b). What is the first derivative of r(n) wrt n?\n' | b'12*n**3\n' | b'Let w(u) be the first derivative of u**8/560 + u**4/8 + 2*u**3/3 + 2. Let r(b) be the third derivative of w(b). What is the first derivative of r(n) wrt n?\n' | b'12*n**3\n' | deepmind/math_dataset |
b'Simplify ((o/o**(1/3))**(-1/10)*(o*o**0)**(-3/11))/(o**(-5/3)/(o*o**(-8)/o)*o**(-2/17)/o**7) assuming o is positive.\n' | b'o**(416/935)\n' | b'Simplify ((o/o**(1/3))**(-1/10)*(o*o**0)**(-3/11))/(o**(-5/3)/(o*o**(-8)/o)*o**(-2/17)/o**7) assuming o is positive.\n' | b'o**(416/935)\n' | deepmind/math_dataset |
b'Let d(n) be the third derivative of -19*n**6/10 - 67*n**5/60 + 5*n**4/24 - 62*n**2 - 5*n. Find the third derivative of d(s) wrt s.\n' | b'-1368\n' | b'Let d(n) be the third derivative of -19*n**6/10 - 67*n**5/60 + 5*n**4/24 - 62*n**2 - 5*n. Find the third derivative of d(s) wrt s.\n' | b'-1368\n' | deepmind/math_dataset |
b'Simplify c**2/c**(-15)*(c**(3/2))**(-4) assuming c is positive.\n' | b'c**11\n' | b'Simplify c**2/c**(-15)*(c**(3/2))**(-4) assuming c is positive.\n' | b'c**11\n' | deepmind/math_dataset |
b'Differentiate -46*p**2 - 36*p**2 + 145 + 21*p**2 - 7 + 3*p - 60*p**2 with respect to p.\n' | b'-242*p + 3\n' | b'Differentiate -46*p**2 - 36*p**2 + 145 + 21*p**2 - 7 + 3*p - 60*p**2 with respect to p.\n' | b'-242*p + 3\n' | deepmind/math_dataset |
b'Simplify ((u*u*((u**(3/7)/u)/u)/u*u**9)/(u**(-9)/u*u*u/(((u/(u/u**(-2/5)))/u*u)/u)))**1 assuming u is positive.\n' | b'u**(526/35)\n' | b'Simplify ((u*u*((u**(3/7)/u)/u)/u*u**9)/(u**(-9)/u*u*u/(((u/(u/u**(-2/5)))/u*u)/u)))**1 assuming u is positive.\n' | b'u**(526/35)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uurrruuuuuuurururu. What is prob of sequence urr?\n' | b'5/68\n' | b'Three letters picked without replacement from uurrruuuuuuurururu. What is prob of sequence urr?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let d(i) be the third derivative of -i**6/120 + i**5/15 + i**4/12 - i**3/6 - 19*i**2. Give d(4).\n' | b'7\n' | b'Let d(i) be the third derivative of -i**6/120 + i**5/15 + i**4/12 - i**3/6 - 19*i**2. Give d(4).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((b*(b*(b/(((b**(-10/9)/b)/b)/b))/b)/b*b)/(b/(b*b/(b**0/b)*b)))/(b*b**0)**(5/3) assuming b is positive.\n' | b'b**(67/9)\n' | b'Simplify ((b*(b*(b/(((b**(-10/9)/b)/b)/b))/b)/b*b)/(b/(b*b/(b**0/b)*b)))/(b*b**0)**(5/3) assuming b is positive.\n' | b'b**(67/9)\n' | deepmind/math_dataset |
b'What is prob of picking 4 g when four letters picked without replacement from ggiggggiggg?\n' | b'21/55\n' | b'What is prob of picking 4 g when four letters picked without replacement from ggiggggiggg?\n' | b'21/55\n' | deepmind/math_dataset |
b'Let z(b) = 3*b - 5. Let l(t) = 16*t - 24. Let g(a) = 3*l(a) - 14*z(a). Differentiate g(o) with respect to o.\n' | b'6\n' | b'Let z(b) = 3*b - 5. Let l(t) = 16*t - 24. Let g(a) = 3*l(a) - 14*z(a). Differentiate g(o) with respect to o.\n' | b'6\n' | deepmind/math_dataset |
b'Let m(s) = -2*s**2 - 4*s - 3. Let a(l) = -36*l - 465. Let f(n) = -7*n - 93. Let g(t) = 2*a(t) - 11*f(t). Let o be g(-19). Calculate m(o).\n' | b'-3\n' | b'Let m(s) = -2*s**2 - 4*s - 3. Let a(l) = -36*l - 465. Let f(n) = -7*n - 93. Let g(t) = 2*a(t) - 11*f(t). Let o be g(-19). Calculate m(o).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -4*n - 5 = 5*z - 10*z, n + z - 1 = 0. What is the third derivative of 61*s**4 - 10*s**2 - 33 + n*s**2 - 8*s**2 + 31 wrt s?\n' | b'1464*s\n' | b'Suppose -4*n - 5 = 5*z - 10*z, n + z - 1 = 0. What is the third derivative of 61*s**4 - 10*s**2 - 33 + n*s**2 - 8*s**2 + 31 wrt s?\n' | b'1464*s\n' | deepmind/math_dataset |
b'Suppose -4*o = 3*p - o - 24, 0 = p - 5*o - 38. Suppose -3*y + 19 = p. Find the third derivative of 8 - 10 - 11*b**3 + 2 + 21*b**y wrt b.\n' | b'-66\n' | b'Suppose -4*o = 3*p - o - 24, 0 = p - 5*o - 38. Suppose -3*y + 19 = p. Find the third derivative of 8 - 10 - 11*b**3 + 2 + 21*b**y wrt b.\n' | b'-66\n' | deepmind/math_dataset |
b'Let b be 18/8 - 1/4. Suppose -i - b*i = 0. Suppose 0 = -6*s + 5*s + 16. Solve 5*t - 2*d + 4 = i, 4*t + t + 2*d + s = 0 for t.\n' | b'-2\n' | b'Let b be 18/8 - 1/4. Suppose -i - b*i = 0. Suppose 0 = -6*s + 5*s + 16. Solve 5*t - 2*d + 4 = i, 4*t + t + 2*d + s = 0 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, f: 2, u: 3, w: 4}. Give prob of sequence ru.\n' | b'1/30\n' | b'Two letters picked without replacement from {r: 1, f: 2, u: 3, w: 4}. Give prob of sequence ru.\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (d**(-1))**(-23/4)/(d**0)**(-44) assuming d is positive.\n' | b'd**(23/4)\n' | b'Simplify (d**(-1))**(-23/4)/(d**0)**(-44) assuming d is positive.\n' | b'd**(23/4)\n' | deepmind/math_dataset |
b'Let s(o) = 28*o - 2. Let z(b) = 50*b - 5. Let d(m) = 5*s(m) - 3*z(m). What is d(2)?\n' | b'-15\n' | b'Let s(o) = 28*o - 2. Let z(b) = 50*b - 5. Let d(m) = 5*s(m) - 3*z(m). What is d(2)?\n' | b'-15\n' | deepmind/math_dataset |
b'Let x(a) = -6*a**2 - 122*a - 7. Let n(l) = 7*l**2 + 145*l + 8. Let y(f) = -5*n(f) - 6*x(f). Suppose 3*r + 2*i = -12, -r - 2*i = r + 6. What is y(r)?\n' | b'-4\n' | b'Let x(a) = -6*a**2 - 122*a - 7. Let n(l) = 7*l**2 + 145*l + 8. Let y(f) = -5*n(f) - 6*x(f). Suppose 3*r + 2*i = -12, -r - 2*i = r + 6. What is y(r)?\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence kj when two letters picked without replacement from xxxkaaxsksxjsjssja?\n' | b'1/51\n' | b'What is prob of sequence kj when two letters picked without replacement from xxxkaaxsksxjsjssja?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let p be (6 + (-119)/14)*-4. Differentiate -6*q - 17 + p - 40 with respect to q.\n' | b'-6\n' | b'Let p be (6 + (-119)/14)*-4. Differentiate -6*q - 17 + p - 40 with respect to q.\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 2 g when three letters picked without replacement from {g: 6, a: 5, f: 6, p: 1}?\n' | b'15/136\n' | b'What is prob of picking 1 f and 2 g when three letters picked without replacement from {g: 6, a: 5, f: 6, p: 1}?\n' | b'15/136\n' | deepmind/math_dataset |
b'Let h(d) = -4*d**2 - 11*d - 33. Let i(r) = -2*r**2 - 5*r - 17. Let a(n) = -3*h(n) + 5*i(n). Find the first derivative of a(g) wrt g.\n' | b'4*g + 8\n' | b'Let h(d) = -4*d**2 - 11*d - 33. Let i(r) = -2*r**2 - 5*r - 17. Let a(n) = -3*h(n) + 5*i(n). Find the first derivative of a(g) wrt g.\n' | b'4*g + 8\n' | deepmind/math_dataset |
b'What is prob of picking 4 w when four letters picked without replacement from {o: 2, w: 4, t: 4}?\n' | b'1/210\n' | b'What is prob of picking 4 w when four letters picked without replacement from {o: 2, w: 4, t: 4}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify z**3/(z*z**(-1/7)*z)*(z/((z/z**(-4/5)*z)/z))/(z*z**0) assuming z is positive.\n' | b'z**(-23/35)\n' | b'Simplify z**3/(z*z**(-1/7)*z)*(z/((z/z**(-4/5)*z)/z))/(z*z**0) assuming z is positive.\n' | b'z**(-23/35)\n' | deepmind/math_dataset |
b'Suppose 0 = n - 5*m + 13, -6*m = -5*m - 3. Suppose 5*s = s + 12. Let f = 4 - 2. Solve f = -o + n*y, o = -2*y + s*y for o.\n' | b'2\n' | b'Suppose 0 = n - 5*m + 13, -6*m = -5*m - 3. Suppose 5*s = s + 12. Let f = 4 - 2. Solve f = -o + n*y, o = -2*y + s*y for o.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify d/(d*d**(2/7)*d)*(d*d**(-1/7))/d assuming d is positive.\n' | b'd**(-10/7)\n' | b'Simplify d/(d*d**(2/7)*d)*(d*d**(-1/7))/d assuming d is positive.\n' | b'd**(-10/7)\n' | deepmind/math_dataset |
b'Let m(s) = s**3 + 3*s**2 - s. Let v be m(-3). Let b = 2 + 17. Suppose -11 - b = -3*r. Solve v*a - 2 = -y + 6*a, -5*a = r for y.\n' | b'-4\n' | b'Let m(s) = s**3 + 3*s**2 - s. Let v be m(-3). Let b = 2 + 17. Suppose -11 - b = -3*r. Solve v*a - 2 = -y + 6*a, -5*a = r for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -5*a = b + 16 - 5, -35 = -3*b + 2*a. Let x(k) = 4*k + 4. Let w(v) = -4 + v + 0 + 5. Let j(y) = b*w(y) - 2*x(y). Give j(5).\n' | b'6\n' | b'Suppose -5*a = b + 16 - 5, -35 = -3*b + 2*a. Let x(k) = 4*k + 4. Let w(v) = -4 + v + 0 + 5. Let j(y) = b*w(y) - 2*x(y). Give j(5).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from nndn.\n' | b'1/2\n' | b'Calculate prob of sequence nn when two letters picked without replacement from nndn.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let l(d) = -d**3 - 8*d**2 + 10*d + 11. Let s be l(-9). Let p(o) be the third derivative of 0 + 0*o + 1/8*o**4 + o**s + 1/3*o**3. Determine p(2).\n' | b'8\n' | b'Let l(d) = -d**3 - 8*d**2 + 10*d + 11. Let s be l(-9). Let p(o) be the third derivative of 0 + 0*o + 1/8*o**4 + o**s + 1/3*o**3. Determine p(2).\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyyyyfyy. What is prob of sequence fy?\n' | b'1/8\n' | b'Two letters picked without replacement from yyyyyfyy. What is prob of sequence fy?\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify (t/t**6*t*t/(t/(t*t*t*t/t**(-1/2)*t*t*t)))**(-35) assuming t is positive.\n' | b't**(-245/2)\n' | b'Simplify (t/t**6*t*t/(t/(t*t*t*t/t**(-1/2)*t*t*t)))**(-35) assuming t is positive.\n' | b't**(-245/2)\n' | deepmind/math_dataset |
b'Let i(a) = 2*a**3 + 5*a**2 + 4*a + 1. Let q be (144/(-28))/((-2)/7). Suppose -4*o + 5 = -3*k, 5 = 4*k + o + q. Let x be -1 + 1/(k/6). Calculate i(x).\n' | b'-20\n' | b'Let i(a) = 2*a**3 + 5*a**2 + 4*a + 1. Let q be (144/(-28))/((-2)/7). Suppose -4*o + 5 = -3*k, 5 = 4*k + o + q. Let x be -1 + 1/(k/6). Calculate i(x).\n' | b'-20\n' | deepmind/math_dataset |
b'What is the second derivative of 17*c**3 - 2*c + 51*c - 9*c wrt c?\n' | b'102*c\n' | b'What is the second derivative of 17*c**3 - 2*c + 51*c - 9*c wrt c?\n' | b'102*c\n' | deepmind/math_dataset |
b'Suppose -11*b + 7*b + 8 = 0. What is the third derivative of -4*j**3 - 3*j**2 + 6*j**b + 0*j**2 wrt j?\n' | b'-24\n' | b'Suppose -11*b + 7*b + 8 = 0. What is the third derivative of -4*j**3 - 3*j**2 + 6*j**b + 0*j**2 wrt j?\n' | b'-24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 3, p: 3, o: 7}. Give prob of picking 1 o and 1 j.\n' | b'7/26\n' | b'Two letters picked without replacement from {j: 3, p: 3, o: 7}. Give prob of picking 1 o and 1 j.\n' | b'7/26\n' | deepmind/math_dataset |
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