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'Four letters picked without replacement from {j: 1, m: 1, r: 3, x: 9}. What is prob of picking 3 x and 1 j?\n' | b'12/143\n' | b'Four letters picked without replacement from {j: 1, m: 1, r: 3, x: 9}. What is prob of picking 3 x and 1 j?\n' | b'12/143\n' | deepmind/math_dataset |
b'Simplify r**(-2)/r**(21/5)*((r/(r/r**(-34)))/r)/r**(-9/2) assuming r is positive.\n' | b'r**(-367/10)\n' | b'Simplify r**(-2)/r**(21/5)*((r/(r/r**(-34)))/r)/r**(-9/2) assuming r is positive.\n' | b'r**(-367/10)\n' | deepmind/math_dataset |
b'What is prob of sequence ca when two letters picked without replacement from {a: 3, j: 6, h: 2, c: 2}?\n' | b'1/26\n' | b'What is prob of sequence ca when two letters picked without replacement from {a: 3, j: 6, h: 2, c: 2}?\n' | b'1/26\n' | deepmind/math_dataset |
b'What is the first derivative of -3*p**3 - 6*p**3 + 37151 + 14*p**4 - 36761 wrt p?\n' | b'56*p**3 - 27*p**2\n' | b'What is the first derivative of -3*p**3 - 6*p**3 + 37151 + 14*p**4 - 36761 wrt p?\n' | b'56*p**3 - 27*p**2\n' | deepmind/math_dataset |
b'Suppose -4*p + 3*d + 208 = 0, p - 5*d - 35 = -0*p. Let c be (-8)/(-10)*p/22. What is the third derivative of -2*n**2 + 9*n**c + n**4 - 6*n**4 - n**2 wrt n?\n' | b'-120*n\n' | b'Suppose -4*p + 3*d + 208 = 0, p - 5*d - 35 = -0*p. Let c be (-8)/(-10)*p/22. What is the third derivative of -2*n**2 + 9*n**c + n**4 - 6*n**4 - n**2 wrt n?\n' | b'-120*n\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 13, l: 6}. What is prob of picking 3 v?\n' | b'286/969\n' | b'Three letters picked without replacement from {v: 13, l: 6}. What is prob of picking 3 v?\n' | b'286/969\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n when three letters picked without replacement from {y: 1, n: 14}.\n' | b'4/5\n' | b'Calculate prob of picking 3 n when three letters picked without replacement from {y: 1, n: 14}.\n' | b'4/5\n' | deepmind/math_dataset |
b'Let x(p) be the second derivative of -p**3/6 - 22*p. Let b be 2/(-7) - (-1692)/42. Let m = b - 35. What is x(m)?\n' | b'-5\n' | b'Let x(p) be the second derivative of -p**3/6 - 22*p. Let b be 2/(-7) - (-1692)/42. Let m = b - 35. What is x(m)?\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllbgbgdbg. What is prob of picking 1 d, 1 b, and 2 l?\n' | b'3/70\n' | b'Four letters picked without replacement from lllbgbgdbg. What is prob of picking 1 d, 1 b, and 2 l?\n' | b'3/70\n' | deepmind/math_dataset |
b'Let q(m) be the second derivative of 0*m**6 + 5/3*m**3 + 0*m**5 - 4*m + 11/42*m**7 + 0 + 0*m**4 + 0*m**2. Find the second derivative of q(s) wrt s.\n' | b'220*s**3\n' | b'Let q(m) be the second derivative of 0*m**6 + 5/3*m**3 + 0*m**5 - 4*m + 11/42*m**7 + 0 + 0*m**4 + 0*m**2. Find the second derivative of q(s) wrt s.\n' | b'220*s**3\n' | deepmind/math_dataset |
b'Let z(i) = i**3 - i**2 - i - 10. Suppose 1 = 5*t + 6. Let x be (-3)/(30/25)*2/t. Suppose -5*n = -x*n + 3*n. What is z(n)?\n' | b'-10\n' | b'Let z(i) = i**3 - i**2 - i - 10. Suppose 1 = 5*t + 6. Let x be (-3)/(30/25)*2/t. Suppose -5*n = -x*n + 3*n. What is z(n)?\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (((w**10/((w*w*w/(w*w/(w**(-9)/w)))/w))/(w**(2/13))**(-40))**(-2/3))**4 assuming w is positive.\n' | b'w**(-2720/39)\n' | b'Simplify (((w**10/((w*w*w/(w*w/(w**(-9)/w)))/w))/(w**(2/13))**(-40))**(-2/3))**4 assuming w is positive.\n' | b'w**(-2720/39)\n' | deepmind/math_dataset |
b'Find the third derivative of -22*r**2 + 18*r**5 + 6*r**2 + 11*r**2 + 36*r**2 wrt r.\n' | b'1080*r**2\n' | b'Find the third derivative of -22*r**2 + 18*r**5 + 6*r**2 + 11*r**2 + 36*r**2 wrt r.\n' | b'1080*r**2\n' | deepmind/math_dataset |
b'What is prob of sequence xi when two letters picked without replacement from {i: 5, x: 3, l: 2}?\n' | b'1/6\n' | b'What is prob of sequence xi when two letters picked without replacement from {i: 5, x: 3, l: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let k(u) = -u**2 + 3*u**2 - 6 + 3*u - u**2. Let v be 3/(-7) + (-512)/112. Calculate k(v).\n' | b'4\n' | b'Let k(u) = -u**2 + 3*u**2 - 6 + 3*u - u**2. Let v be 3/(-7) + (-512)/112. Calculate k(v).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((s/(s/((s/(s*s**(-1)*s))/s)))/(s**8/s))**(1/12)*((s/s**(-1/8))/s*s**(-8))**(-18/7) assuming s is positive.\n' | b's**(235/12)\n' | b'Simplify ((s/(s/((s/(s*s**(-1)*s))/s)))/(s**8/s))**(1/12)*((s/s**(-1/8))/s*s**(-8))**(-18/7) assuming s is positive.\n' | b's**(235/12)\n' | deepmind/math_dataset |
b'Suppose -2*t = -10 - 228. Let h = -119 + t. Solve -p - 2 = 2, -g - 4*p - 19 = h for g.\n' | b'-3\n' | b'Suppose -2*t = -10 - 228. Let h = -119 + t. Solve -p - 2 = 2, -g - 4*p - 19 = h for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -5*n = k + 2 + 4, 18 = 2*k - 5*n. Solve 2*v - 3*l = -0*l - 6, 3*v = -k*l + 25 for v.\n' | b'3\n' | b'Suppose -5*n = k + 2 + 4, 18 = 2*k - 5*n. Solve 2*v - 3*l = -0*l - 6, 3*v = -k*l + 25 for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is the second derivative of 41*t + 140*t**5 - 97*t - 1 - 230*t wrt t?\n' | b'2800*t**3\n' | b'What is the second derivative of 41*t + 140*t**5 - 97*t - 1 - 230*t wrt t?\n' | b'2800*t**3\n' | deepmind/math_dataset |
b'Simplify (j*j*j**(-3/20)*j)/j**35 assuming j is positive.\n' | b'j**(-643/20)\n' | b'Simplify (j*j*j**(-3/20)*j)/j**35 assuming j is positive.\n' | b'j**(-643/20)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, b: 1, k: 1, r: 1, m: 1, y: 2}. Give prob of picking 1 r and 1 k.\n' | b'1/21\n' | b'Two letters picked without replacement from {c: 1, b: 1, k: 1, r: 1, m: 1, y: 2}. Give prob of picking 1 r and 1 k.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l(p) = 3*p + p - 3*p. What is l(-4)?\n' | b'-4\n' | b'Let l(p) = 3*p + p - 3*p. What is l(-4)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -11*y = -12*y + 7. Suppose 9*m - 43 + y = 0. Solve 3*a - 4 = a - m*d, -d + 1 = -5*a for a.\n' | b'0\n' | b'Suppose -11*y = -12*y + 7. Suppose 9*m - 43 + y = 0. Solve 3*a - 4 = a - m*d, -d + 1 = -5*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence mt when two letters picked without replacement from tttusntnnms.\n' | b'2/55\n' | b'Calculate prob of sequence mt when two letters picked without replacement from tttusntnnms.\n' | b'2/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbmbbaahp. Give prob of picking 1 h and 1 a.\n' | b'1/18\n' | b'Two letters picked without replacement from bbmbbaahp. Give prob of picking 1 h and 1 a.\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose -3*x - 7 = -1. Let k = x - -16. Solve -k = 3*m - s, 2*s + 2*s = -5*m + 5 for m.\n' | b'-3\n' | b'Suppose -3*x - 7 = -1. Let k = x - -16. Solve -k = 3*m - s, 2*s + 2*s = -5*m + 5 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, h: 11}. Give prob of picking 1 m and 1 h.\n' | b'33/91\n' | b'Two letters picked without replacement from {m: 3, h: 11}. Give prob of picking 1 m and 1 h.\n' | b'33/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 t when three letters picked without replacement from tutut?\n' | b'3/5\n' | b'What is prob of picking 1 u and 2 t when three letters picked without replacement from tutut?\n' | b'3/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rgeywrqrwrqwyrr. Give prob of picking 1 e and 1 w.\n' | b'1/35\n' | b'Two letters picked without replacement from rgeywrqrwrqwyrr. Give prob of picking 1 e and 1 w.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -14 = -4*g + 2*f, -5*f - 6 = -2*g - 3*f. Find the second derivative of -2 + 1 + 57*v - 25*v**4 - 43*v**g + 0*v wrt v.\n' | b'-816*v**2\n' | b'Suppose -14 = -4*g + 2*f, -5*f - 6 = -2*g - 3*f. Find the second derivative of -2 + 1 + 57*v - 25*v**4 - 43*v**g + 0*v wrt v.\n' | b'-816*v**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, h: 2}. What is prob of picking 1 h and 1 q?\n' | b'2/3\n' | b'Two letters picked without replacement from {q: 2, h: 2}. What is prob of picking 1 h and 1 q?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let k(s) be the first derivative of 15*s**4/4 - 66*s + 97. Differentiate k(p) wrt p.\n' | b'45*p**2\n' | b'Let k(s) be the first derivative of 15*s**4/4 - 66*s + 97. Differentiate k(p) wrt p.\n' | b'45*p**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaue. Give prob of sequence uea.\n' | b'1/12\n' | b'Three letters picked without replacement from aaue. Give prob of sequence uea.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify n/(n/(n/(n*n/(n/(n/((n/n**(-10/7)*n*n)/n)*n)))))*n**(3/4)*(n**(-11))**(4/3) assuming n is positive.\n' | b'n**(-1049/84)\n' | b'Simplify n/(n/(n/(n*n/(n/(n/((n/n**(-10/7)*n*n)/n)*n)))))*n**(3/4)*(n**(-11))**(4/3) assuming n is positive.\n' | b'n**(-1049/84)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 7, x: 11, q: 1}. Give prob of picking 4 x.\n' | b'55/646\n' | b'Four letters picked without replacement from {b: 7, x: 11, q: 1}. Give prob of picking 4 x.\n' | b'55/646\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffffifiifiifii. Give prob of picking 1 i and 1 f.\n' | b'7/13\n' | b'Two letters picked without replacement from ffffifiifiifii. Give prob of picking 1 i and 1 f.\n' | b'7/13\n' | deepmind/math_dataset |
b'What is prob of sequence dtxr when four letters picked without replacement from rrxxdrxrqtnrn?\n' | b'1/1144\n' | b'What is prob of sequence dtxr when four letters picked without replacement from rrxxdrxrqtnrn?\n' | b'1/1144\n' | deepmind/math_dataset |
b'Let v(f) be the first derivative of 58*f**5/5 - f**3/3 - 6707*f - 10305. What is the first derivative of v(b) wrt b?\n' | b'232*b**3 - 2*b\n' | b'Let v(f) be the first derivative of 58*f**5/5 - f**3/3 - 6707*f - 10305. What is the first derivative of v(b) wrt b?\n' | b'232*b**3 - 2*b\n' | deepmind/math_dataset |
b'Let w(c) be the third derivative of 0*c + 5/6*c**3 + 1/24*c**4 + 0 - 17*c**2. Let k be w(-3). Solve 12 = -4*u - k*p, u + 3 = -5*p - 0 for u.\n' | b'-3\n' | b'Let w(c) be the third derivative of 0*c + 5/6*c**3 + 1/24*c**4 + 0 - 17*c**2. Let k be w(-3). Solve 12 = -4*u - k*p, u + 3 = -5*p - 0 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((p*p**0)/((p**(-1/6)/p)/p))/(p**6/(p/(p/(p**(3/8)/p)))))**(-8/5) assuming p is positive.\n' | b'p**(83/15)\n' | b'Simplify (((p*p**0)/((p**(-1/6)/p)/p))/(p**6/(p/(p/(p**(3/8)/p)))))**(-8/5) assuming p is positive.\n' | b'p**(83/15)\n' | deepmind/math_dataset |
b'Let f = -9 - -11. What is the third derivative of 5*x**4 - 6*x**4 + f*x**4 + 0*x**4 + 8*x**2 wrt x?\n' | b'24*x\n' | b'Let f = -9 - -11. What is the third derivative of 5*x**4 - 6*x**4 + f*x**4 + 0*x**4 + 8*x**2 wrt x?\n' | b'24*x\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 2 p when three letters picked without replacement from {q: 2, i: 5, p: 4}?\n' | b'2/11\n' | b'What is prob of picking 1 i and 2 p when three letters picked without replacement from {q: 2, i: 5, p: 4}?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let t = -308 - -305. Let h(p) = 3 - 3*p**2 - 2 + 4*p**2. Let g(d) = -10*d**2 + 3. Let k(f) = t*h(f) - g(f). What is the first derivative of k(w) wrt w?\n' | b'14*w\n' | b'Let t = -308 - -305. Let h(p) = 3 - 3*p**2 - 2 + 4*p**2. Let g(d) = -10*d**2 + 3. Let k(f) = t*h(f) - g(f). What is the first derivative of k(w) wrt w?\n' | b'14*w\n' | deepmind/math_dataset |
b'Simplify a**(5/3)*(a**3*a)/a*(a/(a/(a*a**(-1/4)*a)))**(-10)*(a**1*a*a**(-2/3))/(a/((a*a**(-1/4))/a))**(-39) assuming a is positive.\n' | b'a**(149/4)\n' | b'Simplify a**(5/3)*(a**3*a)/a*(a/(a/(a*a**(-1/4)*a)))**(-10)*(a**1*a*a**(-2/3))/(a/((a*a**(-1/4))/a))**(-39) assuming a is positive.\n' | b'a**(149/4)\n' | deepmind/math_dataset |
b'Simplify (((s**(-1/7))**43)**(-1/22))**(-1/5) assuming s is positive.\n' | b's**(-43/770)\n' | b'Simplify (((s**(-1/7))**43)**(-1/22))**(-1/5) assuming s is positive.\n' | b's**(-43/770)\n' | deepmind/math_dataset |
b'Let v(h) = h**2 - 2*h - 5. Let o(p) be the third derivative of p**5/30 - p**4/8 - 2*p**3/3 + p**2. Let k be o(3). Give v(k).\n' | b'10\n' | b'Let v(h) = h**2 - 2*h - 5. Let o(p) be the third derivative of p**5/30 - p**4/8 - 2*p**3/3 + p**2. Let k be o(3). Give v(k).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 3 b when four letters picked without replacement from {a: 3, h: 6, b: 5, n: 2, f: 1, d: 2}.\n' | b'5/969\n' | b'Calculate prob of picking 1 n and 3 b when four letters picked without replacement from {a: 3, h: 6, b: 5, n: 2, f: 1, d: 2}.\n' | b'5/969\n' | deepmind/math_dataset |
b'Let s = -1125 - -1125. Let w(t) = -3*t - 1 + 2*t + 4. Give w(s).\n' | b'3\n' | b'Let s = -1125 - -1125. Let w(t) = -3*t - 1 + 2*t + 4. Give w(s).\n' | b'3\n' | deepmind/math_dataset |
b'Let y(l) = -l**3 + 6*l**2 - 2*l + 6. Let b = -4331 - -4336. Determine y(b).\n' | b'21\n' | b'Let y(l) = -l**3 + 6*l**2 - 2*l + 6. Let b = -4331 - -4336. Determine y(b).\n' | b'21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ymlltfjjylftlmttfy. What is prob of picking 1 m and 1 t?\n' | b'8/153\n' | b'Two letters picked without replacement from ymlltfjjylftlmttfy. What is prob of picking 1 m and 1 t?\n' | b'8/153\n' | deepmind/math_dataset |
b'Suppose 67*i - 615 = -127*i - 11*i. Solve 0*u - u - 10 = i*h, 0 = h + 4*u + 18 for h.\n' | b'-2\n' | b'Suppose 67*i - 615 = -127*i - 11*i. Solve 0*u - u - 10 = i*h, 0 = h + 4*u + 18 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pngggbnbpnn. What is prob of sequence gbb?\n' | b'1/165\n' | b'Three letters picked without replacement from pngggbnbpnn. What is prob of sequence gbb?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let m(f) be the third derivative of f**6/5 - f**4/8 - 1089*f**3/2 + 3570*f**2. What is the derivative of m(n) wrt n?\n' | b'72*n**2 - 3\n' | b'Let m(f) be the third derivative of f**6/5 - f**4/8 - 1089*f**3/2 + 3570*f**2. What is the derivative of m(n) wrt n?\n' | b'72*n**2 - 3\n' | deepmind/math_dataset |
b'Simplify ((s**(-10/9))**2/((s/(s**(-34)*s))/(s*s/(s**(-2/3)/s))))**(-4/41) assuming s is positive.\n' | b's**(1172/369)\n' | b'Simplify ((s**(-10/9))**2/((s/(s**(-34)*s))/(s*s/(s**(-2/3)/s))))**(-4/41) assuming s is positive.\n' | b's**(1172/369)\n' | deepmind/math_dataset |
b'Let j = -1853 - -1859. Let r(t) be the third derivative of 0 + 0*t**4 + 2/3*t**3 + 6*t**2 + 1/30*t**j + 0*t + 0*t**5. Find the first derivative of r(z) wrt z.\n' | b'12*z**2\n' | b'Let j = -1853 - -1859. Let r(t) be the third derivative of 0 + 0*t**4 + 2/3*t**3 + 6*t**2 + 1/30*t**j + 0*t + 0*t**5. Find the first derivative of r(z) wrt z.\n' | b'12*z**2\n' | deepmind/math_dataset |
b'Let h(b) = -b**3 + b**2 + 2*b - 1. Let r(n) = 6*n**3 - 5*n**2 - 11*n + 5. Let u(g) = -11*h(g) - 2*r(g). Determine u(1).\n' | b'-1\n' | b'Let h(b) = -b**3 + b**2 + 2*b - 1. Let r(n) = 6*n**3 - 5*n**2 - 11*n + 5. Let u(g) = -11*h(g) - 2*r(g). Determine u(1).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from ieoqsqxieqeoo?\n' | b'1/26\n' | b'What is prob of picking 2 q when two letters picked without replacement from ieoqsqxieqeoo?\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify j**(-4)/(j**2*j)*((j/(j*j*(j*j/(j/(j*j**(2/19)/j)))/j)*j)/j)/j**2 assuming j is positive.\n' | b'j**(-192/19)\n' | b'Simplify j**(-4)/(j**2*j)*((j/(j*j*(j*j/(j/(j*j**(2/19)/j)))/j)*j)/j)/j**2 assuming j is positive.\n' | b'j**(-192/19)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qkqkqkqq. What is prob of picking 3 k and 1 q?\n' | b'1/14\n' | b'Four letters picked without replacement from qkqkqkqq. What is prob of picking 3 k and 1 q?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let n = 38 + -31. Suppose -5*s = f - 21, 6*s - s - 3*f - 17 = 0. Suppose -32 = -4*r + n*v - 3*v, s = 5*r + 4*v. Let l(b) = b - 1. Determine l(r).\n' | b'3\n' | b'Let n = 38 + -31. Suppose -5*s = f - 21, 6*s - s - 3*f - 17 = 0. Suppose -32 = -4*r + n*v - 3*v, s = 5*r + 4*v. Let l(b) = b - 1. Determine l(r).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 5*u + 5*y = 160, -3*u + y + 130 - 14 = 0. Differentiate x - x**4 - 22 + u - x wrt x.\n' | b'-4*x**3\n' | b'Suppose 5*u + 5*y = 160, -3*u + y + 130 - 14 = 0. Differentiate x - x**4 - 22 + u - x wrt x.\n' | b'-4*x**3\n' | deepmind/math_dataset |
b'Let q be ((-15)/6)/((-1)/2). Let v(t) = t**3 - 10*t**2 + 6*t + 3. Let k(y) = 2*y**3 - 21*y**2 + 13*y + 5. Let m(i) = 4*k(i) - 9*v(i). Determine m(q).\n' | b'8\n' | b'Let q be ((-15)/6)/((-1)/2). Let v(t) = t**3 - 10*t**2 + 6*t + 3. Let k(y) = 2*y**3 - 21*y**2 + 13*y + 5. Let m(i) = 4*k(i) - 9*v(i). Determine m(q).\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 3, q: 2}. Give prob of sequence aaa.\n' | b'1/10\n' | b'Three letters picked without replacement from {a: 3, q: 2}. Give prob of sequence aaa.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let x = 47 - 41. Let r = x + 0. Let l(n) = -2*n + 6. Give l(r).\n' | b'-6\n' | b'Let x = 47 - 41. Let r = x + 0. Let l(n) = -2*n + 6. Give l(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((x/(x/(x**(-2)/x)))/x)**22/(x/(x**(-6)*x)*x**0))**(-3/22) assuming x is positive.\n' | b'x**(141/11)\n' | b'Simplify (((x/(x/(x**(-2)/x)))/x)**22/(x/(x**(-6)*x)*x**0))**(-3/22) assuming x is positive.\n' | b'x**(141/11)\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 l when four letters picked without replacement from llalaqylaqqalqyaq.\n' | b'1/476\n' | b'Calculate prob of picking 4 l when four letters picked without replacement from llalaqylaqqalqyaq.\n' | b'1/476\n' | deepmind/math_dataset |
b'Simplify ((y**(-2)*y)/(y/y**5))**19 assuming y is positive.\n' | b'y**57\n' | b'Simplify ((y**(-2)*y)/(y/y**5))**19 assuming y is positive.\n' | b'y**57\n' | deepmind/math_dataset |
b'Simplify ((i**0)**(-3)*(i/i**(-1))**(-3/10))**18 assuming i is positive.\n' | b'i**(-54/5)\n' | b'Simplify ((i**0)**(-3)*(i/i**(-1))**(-3/10))**18 assuming i is positive.\n' | b'i**(-54/5)\n' | deepmind/math_dataset |
b'What is prob of sequence jepg when four letters picked without replacement from ypsjejjeypjpgspjjess?\n' | b'1/1615\n' | b'What is prob of sequence jepg when four letters picked without replacement from ypsjejjeypjpgspjjess?\n' | b'1/1615\n' | deepmind/math_dataset |
b'Simplify q**(-16)/(q*q*q/(q**(-13)/q))*(q**(1/4)/q)/(q/(q/(q**(1/9)*q)*q)*q) assuming q is positive.\n' | b'q**(-1255/36)\n' | b'Simplify q**(-16)/(q*q*q/(q**(-13)/q))*(q**(1/4)/q)/(q/(q/(q**(1/9)*q)*q)*q) assuming q is positive.\n' | b'q**(-1255/36)\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 d when two letters picked without replacement from jddyjz?\n' | b'2/15\n' | b'What is prob of picking 1 y and 1 d when two letters picked without replacement from jddyjz?\n' | b'2/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence fec when three letters picked without replacement from ecfefcffcfufbf.\n' | b'1/52\n' | b'Calculate prob of sequence fec when three letters picked without replacement from ecfefcffcfufbf.\n' | b'1/52\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxxvvcvvjvghvvxjcv. What is prob of picking 1 x and 1 v?\n' | b'8/51\n' | b'Two letters picked without replacement from cxxvvcvvjvghvvxjcv. What is prob of picking 1 x and 1 v?\n' | b'8/51\n' | deepmind/math_dataset |
b'Simplify d**(-6)*d/(d**(-1/6)/d)*d**(-2/13)*d*d*d**(2/7)*d*d*((d/d**4)**(-38))**9 assuming d is positive.\n' | b'd**(560359/546)\n' | b'Simplify d**(-6)*d/(d**(-1/6)/d)*d**(-2/13)*d*d*d**(2/7)*d*d*((d/d**4)**(-38))**9 assuming d is positive.\n' | b'd**(560359/546)\n' | deepmind/math_dataset |
b'Let z be 1/((-9)/6)*-6. Find the second derivative of -l + 0*l - 2*l**4 - l**z - l wrt l.\n' | b'-36*l**2\n' | b'Let z be 1/((-9)/6)*-6. Find the second derivative of -l + 0*l - 2*l**4 - l**z - l wrt l.\n' | b'-36*l**2\n' | deepmind/math_dataset |
b'Let c(k) = k + 1. Let q(z) = -z**3 - 22*z**2 - 21*z + 4. Let u be q(-21). Let p(x) = -3*x + 9*x + 1 + 0*x. Let y(w) = u*c(w) - p(w). Calculate y(2).\n' | b'-1\n' | b'Let c(k) = k + 1. Let q(z) = -z**3 - 22*z**2 - 21*z + 4. Let u be q(-21). Let p(x) = -3*x + 9*x + 1 + 0*x. Let y(w) = u*c(w) - p(w). Calculate y(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Let q(w) = -16*w + 24. Let j(m) = -3*m + 5. Let v(f) = -24*j(f) + 5*q(f). Calculate v(2).\n' | b'-16\n' | b'Let q(w) = -16*w + 24. Let j(m) = -3*m + 5. Let v(f) = -24*j(f) + 5*q(f). Calculate v(2).\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (o**(-7))**(-3/2)/((o*o*o*o**16)/o**(-3)) assuming o is positive.\n' | b'o**(-23/2)\n' | b'Simplify (o**(-7))**(-3/2)/((o*o*o*o**16)/o**(-3)) assuming o is positive.\n' | b'o**(-23/2)\n' | deepmind/math_dataset |
b'Simplify (p**(1/11)/p**(-5)*(p**(-2/7))**(-1/41))**(2/39) assuming p is positive.\n' | b'p**(2476/9471)\n' | b'Simplify (p**(1/11)/p**(-5)*(p**(-2/7))**(-1/41))**(2/39) assuming p is positive.\n' | b'p**(2476/9471)\n' | deepmind/math_dataset |
b'Simplify (c**(-27)*c**(23/3)*(c/(c/(c*c*c**21/c))*c)**(19/5))**0 assuming c is positive.\n' | b'1\n' | b'Simplify (c**(-27)*c**(23/3)*(c/(c/(c*c*c**21/c))*c)**(19/5))**0 assuming c is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(r) = r + 2. Let q = 83 - 85. What is d(q)?\n' | b'0\n' | b'Let d(r) = r + 2. Let q = 83 - 85. What is d(q)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify a**(1/3)*a**(1/13) assuming a is positive.\n' | b'a**(16/39)\n' | b'Simplify a**(1/3)*a**(1/13) assuming a is positive.\n' | b'a**(16/39)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 5, s: 2, l: 1, k: 2, o: 5, r: 2}. Give prob of sequence ykyk.\n' | b'1/1428\n' | b'Four letters picked without replacement from {y: 5, s: 2, l: 1, k: 2, o: 5, r: 2}. Give prob of sequence ykyk.\n' | b'1/1428\n' | deepmind/math_dataset |
b'Let t be -5*(2/2)/1. Let p = t - -15. Let z(r) = r**3 + 32*r**2 + 6. Let d be z(-32). Solve d*h - p = 3*h - 5*l, -25 = -5*l for h.\n' | b'-5\n' | b'Let t be -5*(2/2)/1. Let p = t - -15. Let z(r) = r**3 + 32*r**2 + 6. Let d be z(-32). Solve d*h - p = 3*h - 5*l, -25 = -5*l for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r be (-16)/(-72) - 43/(-9). Let u(d) = -7*d**2 - 7*d + 6. Let q(t) = -11*t**2 - 11*t + 9. Let x(b) = r*q(b) - 8*u(b). Calculate x(0).\n' | b'-3\n' | b'Let r be (-16)/(-72) - 43/(-9). Let u(d) = -7*d**2 - 7*d + 6. Let q(t) = -11*t**2 - 11*t + 9. Let x(b) = r*q(b) - 8*u(b). Calculate x(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let v(l) = -5 + 6*l + 18 - 3*l. Give v(-6).\n' | b'-5\n' | b'Let v(l) = -5 + 6*l + 18 - 3*l. Give v(-6).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*o + 5*m - 2*m = 8, 20 = 5*m. Suppose r = o + 2. Suppose -2 = u - 3. Solve -4 = g - 3*t - u, -r*g + 2 = 2*t for g.\n' | b'0\n' | b'Suppose -2*o + 5*m - 2*m = 8, 20 = 5*m. Suppose r = o + 2. Suppose -2 = u - 3. Solve -4 = g - 3*t - u, -r*g + 2 = 2*t for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(q) = -9*q - 3. Let g(f) = -f**2 - f - 1. Let u(t) = 3*g(t) - i(t). Find the second derivative of u(w) wrt w.\n' | b'-6\n' | b'Let i(q) = -9*q - 3. Let g(f) = -f**2 - f - 1. Let u(t) = 3*g(t) - i(t). Find the second derivative of u(w) wrt w.\n' | b'-6\n' | deepmind/math_dataset |
b'What is the third derivative of -659*v**6 + 280*v + 419 - 848 + 429 - 3*v**2 wrt v?\n' | b'-79080*v**3\n' | b'What is the third derivative of -659*v**6 + 280*v + 419 - 848 + 429 - 3*v**2 wrt v?\n' | b'-79080*v**3\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-3/8)*t)/t)/t**(4/5)*t**(5/6)*t*t*t*t**(1/6) assuming t is positive.\n' | b't**(153/40)\n' | b'Simplify ((t*t**(-3/8)*t)/t)/t**(4/5)*t**(5/6)*t*t*t*t**(1/6) assuming t is positive.\n' | b't**(153/40)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 3, k: 4, v: 5, p: 3, z: 4, f: 1}. Give prob of picking 2 r, 1 z, and 1 v.\n' | b'4/323\n' | b'Four letters picked without replacement from {r: 3, k: 4, v: 5, p: 3, z: 4, f: 1}. Give prob of picking 2 r, 1 z, and 1 v.\n' | b'4/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, w: 3, b: 3, t: 2, j: 1, k: 3}. Give prob of sequence bkt.\n' | b'3/286\n' | b'Three letters picked without replacement from {q: 1, w: 3, b: 3, t: 2, j: 1, k: 3}. Give prob of sequence bkt.\n' | b'3/286\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fnsnnnkfnnns. Give prob of picking 1 k, 2 s, and 1 f.\n' | b'2/495\n' | b'Four letters picked without replacement from fnsnnnkfnnns. Give prob of picking 1 k, 2 s, and 1 f.\n' | b'2/495\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sssssssxssisssssss. Give prob of sequence xs.\n' | b'8/153\n' | b'Two letters picked without replacement from sssssssxssisssssss. Give prob of sequence xs.\n' | b'8/153\n' | deepmind/math_dataset |
b'Simplify (z**(-31)/((z/((z/(z*z**(-15/2)*z))/z*z))/z*z))**(27/2) assuming z is positive.\n' | b'z**(-1377/4)\n' | b'Simplify (z**(-31)/((z/((z/(z*z**(-15/2)*z))/z*z))/z*z))**(27/2) assuming z is positive.\n' | b'z**(-1377/4)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 2 l when three letters picked without replacement from ohlhol.\n' | b'1/10\n' | b'Calculate prob of picking 1 h and 2 l when three letters picked without replacement from ohlhol.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, u: 2, i: 1, h: 1}. Give prob of sequence yui.\n' | b'1/30\n' | b'Three letters picked without replacement from {y: 2, u: 2, i: 1, h: 1}. Give prob of sequence yui.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let f be -5*(68/(-20) - -3). Find the third derivative of -3*o**2 + 5*o**2 + 3*o**6 - 6*o**f wrt o.\n' | b'360*o**3\n' | b'Let f be -5*(68/(-20) - -3). Find the third derivative of -3*o**2 + 5*o**2 + 3*o**6 - 6*o**f wrt o.\n' | b'360*o**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from epppep. What is prob of sequence ee?\n' | b'1/15\n' | b'Two letters picked without replacement from epppep. What is prob of sequence ee?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let h = -768 + 370. Let r = h - -406. Solve -2*a - 3*a - r = z, a + 4 = z for a.\n' | b'-2\n' | b'Let h = -768 + 370. Let r = h - -406. Solve -2*a - 3*a - r = z, a + 4 = z for a.\n' | b'-2\n' | deepmind/math_dataset |
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