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 oooooooooooooooool. Give prob of sequence oo.\n' | b'8/9\n' | b'Two letters picked without replacement from oooooooooooooooool. Give prob of sequence oo.\n' | b'8/9\n' | deepmind/math_dataset |
b'Let k(z) = 9*z**3 - 3*z**2 + 6*z. Let w(d) = -19*d**3 + 7*d**2 - 13*d. Let s(j) = -13*k(j) - 6*w(j). What is the third derivative of s(r) wrt r?\n' | b'-18\n' | b'Let k(z) = 9*z**3 - 3*z**2 + 6*z. Let w(d) = -19*d**3 + 7*d**2 - 13*d. Let s(j) = -13*k(j) - 6*w(j). What is the third derivative of s(r) wrt r?\n' | b'-18\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a when two letters picked without replacement from {j: 2, a: 11, w: 1}.\n' | b'55/91\n' | b'Calculate prob of picking 2 a when two letters picked without replacement from {j: 2, a: 11, w: 1}.\n' | b'55/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 n when two letters picked without replacement from unnniinstu.\n' | b'8/45\n' | b'Calculate prob of picking 1 u and 1 n when two letters picked without replacement from unnniinstu.\n' | b'8/45\n' | deepmind/math_dataset |
b'Suppose 1625 + 769 = 399*b. Solve 2*q = -4*g - 20, -8 = -7*q + b*q + g for q.\n' | b'2\n' | b'Suppose 1625 + 769 = 399*b. Solve 2*q = -4*g - 20, -8 = -7*q + b*q + g for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let v(i) be the third derivative of i**4/24 - 7*i**3/6 - 297*i**2 + 1. Let k(r) = -r + 3. Let o be k(-3). What is v(o)?\n' | b'-1\n' | b'Let v(i) be the third derivative of i**4/24 - 7*i**3/6 - 297*i**2 + 1. Let k(r) = -r + 3. Let o be k(-3). What is v(o)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(n) = 2*n**2 + n - 1. Let i(z) = 3*z**2 - 2*z + 2. Let s(b) = -i(b) + 2*x(b). Give s(-4).\n' | b'-4\n' | b'Let x(n) = 2*n**2 + n - 1. Let i(z) = 3*z**2 - 2*z + 2. Let s(b) = -i(b) + 2*x(b). Give s(-4).\n' | b'-4\n' | deepmind/math_dataset |
b'Let n be (6/7)/((-432)/(-63) + -7). Let z(g) = g. Let c(p) = -10 + 38 - 21 - 3*p. Let i(y) = c(y) + 5*z(y). Determine i(n).\n' | b'-5\n' | b'Let n be (6/7)/((-432)/(-63) + -7). Let z(g) = g. Let c(p) = -10 + 38 - 21 - 3*p. Let i(y) = c(y) + 5*z(y). Determine i(n).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, o: 3, c: 1}. What is prob of picking 2 o and 1 c?\n' | b'3/35\n' | b'Three letters picked without replacement from {n: 3, o: 3, c: 1}. What is prob of picking 2 o and 1 c?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let o(g) = -16*g**3 + 15*g**2 + 22. Let c(a) = -a**3 - a**2 - 2. Let t = -521 + 455. Let u(f) = t*c(f) - 6*o(f). Find the third derivative of u(k) wrt k.\n' | b'972\n' | b'Let o(g) = -16*g**3 + 15*g**2 + 22. Let c(a) = -a**3 - a**2 - 2. Let t = -521 + 455. Let u(f) = t*c(f) - 6*o(f). Find the third derivative of u(k) wrt k.\n' | b'972\n' | deepmind/math_dataset |
b'Let l(g) be the first derivative of g**4/4 + 7*g**3/3 + 3*g**2 + 5*g - 11. Let j = -17 + 72. Let d = 49 - j. Give l(d).\n' | b'5\n' | b'Let l(g) be the first derivative of g**4/4 + 7*g**3/3 + 3*g**2 + 5*g - 11. Let j = -17 + 72. Let d = 49 - j. Give l(d).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (m/(m/m**(-17))*m/(m*m/(m*(m*m**17)/m*m*m)*m*m*m)*m)/((m/(m**(-10)*m))/m**(-1/3)) assuming m is positive.\n' | b'm**(-31/3)\n' | b'Simplify (m/(m/m**(-17))*m/(m*m/(m*(m*m**17)/m*m*m)*m*m*m)*m)/((m/(m**(-10)*m))/m**(-1/3)) assuming m is positive.\n' | b'm**(-31/3)\n' | deepmind/math_dataset |
b'Simplify (p*p/p**(-12)*p*p*(p/(p**(-2/9)*p))/p)**(-5/2) assuming p is positive.\n' | b'p**(-685/18)\n' | b'Simplify (p*p/p**(-12)*p*p*(p/(p**(-2/9)*p))/p)**(-5/2) assuming p is positive.\n' | b'p**(-685/18)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccccccccmcucccxmcxc. What is prob of sequence cuc?\n' | b'91/2907\n' | b'Three letters picked without replacement from ccccccccmcucccxmcxc. What is prob of sequence cuc?\n' | b'91/2907\n' | deepmind/math_dataset |
b'Find the third derivative of -3706*h**4 - 53*h - 45*h - 53*h - 59*h - 29*h**2 + 180*h wrt h.\n' | b'-88944*h\n' | b'Find the third derivative of -3706*h**4 - 53*h - 45*h - 53*h - 59*h - 29*h**2 + 180*h wrt h.\n' | b'-88944*h\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 c when four letters picked without replacement from ccqcqcqqcccqqq.\n' | b'5/143\n' | b'Calculate prob of picking 4 c when four letters picked without replacement from ccqcqcqqcccqqq.\n' | b'5/143\n' | deepmind/math_dataset |
b'Suppose 3*k = -79 - 41. Let r = k + 42. Find the third derivative of 12*z**r + 3*z**2 - 26*z**3 + 15*z**3 wrt z.\n' | b'-66\n' | b'Suppose 3*k = -79 - 41. Let r = k + 42. Find the third derivative of 12*z**r + 3*z**2 - 26*z**3 + 15*z**3 wrt z.\n' | b'-66\n' | deepmind/math_dataset |
b'Simplify ((x*x*x/x**(-2/7))/x**(-7))/(x**2*x)**(-37) assuming x is positive.\n' | b'x**(849/7)\n' | b'Simplify ((x*x*x/x**(-2/7))/x**(-7))/(x**2*x)**(-37) assuming x is positive.\n' | b'x**(849/7)\n' | deepmind/math_dataset |
b'Let q(h) = -h + 2. Let t(x) = x**2 - 6*x - 6. Let m(y) = 4*y**2 - 24*y - 25. Let c(b) = -2*m(b) + 9*t(b). Let a be c(7). Let l = a - -2. Give q(l).\n' | b'-3\n' | b'Let q(h) = -h + 2. Let t(x) = x**2 - 6*x - 6. Let m(y) = 4*y**2 - 24*y - 25. Let c(b) = -2*m(b) + 9*t(b). Let a be c(7). Let l = a - -2. Give q(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(w) = 3*w - 5. Let s be b(3). Solve -s*v = -2*y - 16, 3*v + 2*v - 15 = 0 for y.\n' | b'-2\n' | b'Let b(w) = 3*w - 5. Let s be b(3). Solve -s*v = -2*y - 16, 3*v + 2*v - 15 = 0 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z(l) be the first derivative of 2*l**7/35 + l**4/24 + 8*l**2 - 1. Let x(f) be the second derivative of z(f). What is the second derivative of x(o) wrt o?\n' | b'144*o**2\n' | b'Let z(l) be the first derivative of 2*l**7/35 + l**4/24 + 8*l**2 - 1. Let x(f) be the second derivative of z(f). What is the second derivative of x(o) wrt o?\n' | b'144*o**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 3, g: 12}. Give prob of sequence fg.\n' | b'6/35\n' | b'Two letters picked without replacement from {f: 3, g: 12}. Give prob of sequence fg.\n' | b'6/35\n' | deepmind/math_dataset |
b'Simplify ((c*c*c**(1/2)*c)**(-19/3)*(c/c**(-2))/(c/(c*c**(-1/7))))/((c**(-2/11)/(c**6/c))/(c*c/((c/(c**(-3)*c))/c*c)*c*c*c**(1/3)/c)) assuming c is positive.\n' | b'c**(-6373/462)\n' | b'Simplify ((c*c*c**(1/2)*c)**(-19/3)*(c/c**(-2))/(c/(c*c**(-1/7))))/((c**(-2/11)/(c**6/c))/(c*c/((c/(c**(-3)*c))/c*c)*c*c*c**(1/3)/c)) assuming c is positive.\n' | b'c**(-6373/462)\n' | deepmind/math_dataset |
b'Suppose 0 = -v + 15*c - 17*c + 22, -5*v + 4*c = -166. Solve 5*z + 40 = 10*z + 3*a, 3*z = -3*a + v for z.\n' | b'5\n' | b'Suppose 0 = -v + 15*c - 17*c + 22, -5*v + 4*c = -166. Solve 5*z + 40 = 10*z + 3*a, 3*z = -3*a + v for z.\n' | b'5\n' | deepmind/math_dataset |
b'Let j = -11 + 17. Let g(q) = q - 17. Let v(i) = 3. Let u(f) = j*g(f) + 34*v(f). What is u(1)?\n' | b'6\n' | b'Let j = -11 + 17. Let g(q) = q - 17. Let v(i) = 3. Let u(f) = j*g(f) + 34*v(f). What is u(1)?\n' | b'6\n' | deepmind/math_dataset |
b'Let j(v) be the third derivative of 0*v**4 - 1/12*v**5 - 5/6*v**3 + 0 + 0*v - 6*v**2. Differentiate j(z) wrt z.\n' | b'-10*z\n' | b'Let j(v) be the third derivative of 0*v**4 - 1/12*v**5 - 5/6*v**3 + 0 + 0*v - 6*v**2. Differentiate j(z) wrt z.\n' | b'-10*z\n' | deepmind/math_dataset |
b'Calculate prob of sequence zqg when three letters picked without replacement from xlxzglxzxlzqzlzz.\n' | b'1/560\n' | b'Calculate prob of sequence zqg when three letters picked without replacement from xlxzglxzxlzqzlzz.\n' | b'1/560\n' | deepmind/math_dataset |
b'Let s = 3 - 60. Let r be (6/(-18))/(3/711). Let a = s - r. Solve 0 = n + 2, -4*t - a = -0*t + n for t.\n' | b'-5\n' | b'Let s = 3 - 60. Let r be (6/(-18))/(3/711). Let a = s - r. Solve 0 = n + 2, -4*t - a = -0*t + n for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -16*f + 12*f + 20. Solve -5*r = -5*h + 4 + 1, -f*h + 7 = -3*r for h.\n' | b'2\n' | b'Suppose 0 = -16*f + 12*f + 20. Solve -5*r = -5*h + 4 + 1, -f*h + 7 = -3*r for h.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, d: 4, k: 1}. Give prob of sequence dd.\n' | b'2/7\n' | b'Two letters picked without replacement from {z: 2, d: 4, k: 1}. Give prob of sequence dd.\n' | b'2/7\n' | deepmind/math_dataset |
b'Suppose 195*w - 203*w = 0. Solve 0 = -2*f - w*f - 5*p + 17, -7 = -2*f - 3*p for f.\n' | b'-4\n' | b'Suppose 195*w - 203*w = 0. Solve 0 = -2*f - w*f - 5*p + 17, -7 = -2*f - 3*p for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let n = 2 - 2. Suppose -3*i + 4 = 16. Let d be 3 + 0/i + 3. Solve -5*r - 3*u - 29 = u, n = -r - u - d for r.\n' | b'-5\n' | b'Let n = 2 - 2. Suppose -3*i + 4 = 16. Let d be 3 + 0/i + 3. Solve -5*r - 3*u - 29 = u, n = -r - u - d for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(v) = -v**2 + 14*v - 12. Let c be o(13). Solve 0 = l + 3*p + c, 0 = -2*l - 2*l + 3*p - 19 for l.\n' | b'-4\n' | b'Let o(v) = -v**2 + 14*v - 12. Let c be o(13). Solve 0 = l + 3*p + c, 0 = -2*l - 2*l + 3*p - 19 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(k) = -77*k + 2005. Let y be f(26). Let j(o) = 3*o**3 + o**2 - 1. Let v be j(1). Solve 2 = 5*i + v*a, -2*i = -3*i + 2*a + y for i.\n' | b'1\n' | b'Let f(k) = -77*k + 2005. Let y be f(26). Let j(o) = 3*o**3 + o**2 - 1. Let v be j(1). Solve 2 = 5*i + v*a, -2*i = -3*i + 2*a + y for i.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.\n' | b'1\n' | b'Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify m*m*(m/(m*m**(-2/65)))/m*(m/(m/(m*m/m**(-4/9)*m)*m))/m assuming m is positive.\n' | b'm**(1448/585)\n' | b'Simplify m*m*(m/(m*m**(-2/65)))/m*(m/(m/(m*m/m**(-4/9)*m)*m))/m assuming m is positive.\n' | b'm**(1448/585)\n' | deepmind/math_dataset |
b'Simplify (i**(-4)*i)/i*i*i*i*i*i**1*i**(-1/10)*i**(2/7) assuming i is positive.\n' | b'i**(83/70)\n' | b'Simplify (i**(-4)*i)/i*i*i*i*i*i**1*i**(-1/10)*i**(2/7) assuming i is positive.\n' | b'i**(83/70)\n' | deepmind/math_dataset |
b'Let n(t) = 4*t - 30. Let w be -4 - (-10 + -4 + 1). Let o be n(w). Let j(b) = -b**2 + 7*b - 3. Give j(o).\n' | b'3\n' | b'Let n(t) = 4*t - 30. Let w be -4 - (-10 + -4 + 1). Let o be n(w). Let j(b) = -b**2 + 7*b - 3. Give j(o).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wvvvvvwvwv. Give prob of picking 3 w.\n' | b'1/120\n' | b'Three letters picked without replacement from wvvvvvwvwv. Give prob of picking 3 w.\n' | b'1/120\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cjkckkcccccjkcjccjc. What is prob of picking 3 c and 1 j?\n' | b'55/323\n' | b'Four letters picked without replacement from cjkckkcccccjkcjccjc. What is prob of picking 3 c and 1 j?\n' | b'55/323\n' | deepmind/math_dataset |
b'Suppose -3*i = 3*s - 21, 3*i = -1 + 10. Let n(u) = u**3 - 3*u**2 - 3*u + 2. Calculate n(s).\n' | b'6\n' | b'Suppose -3*i = 3*s - 21, 3*i = -1 + 10. Let n(u) = u**3 - 3*u**2 - 3*u + 2. Calculate n(s).\n' | b'6\n' | deepmind/math_dataset |
b'Let o(b) be the third derivative of -b**5/30 - b**4/6 - b**2 - 309. Give o(-6).\n' | b'-48\n' | b'Let o(b) be the third derivative of -b**5/30 - b**4/6 - b**2 - 309. Give o(-6).\n' | b'-48\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yuyiiiyjii. What is prob of picking 1 j, 1 i, and 1 y?\n' | b'1/8\n' | b'Three letters picked without replacement from yuyiiiyjii. What is prob of picking 1 j, 1 i, and 1 y?\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence ffff when four letters picked without replacement from ffff?\n' | b'1\n' | b'What is prob of sequence ffff when four letters picked without replacement from ffff?\n' | b'1\n' | deepmind/math_dataset |
b'Let g(k) = 4*k - 23. Let f(q) = 16*q - 70. Let a(z) = 2*f(z) - 7*g(z). Let m = -17 - -13. Let u be a(m). Solve 2*n + 4 = -2*x, x + 3*n - u*n = 7 for x.\n' | b'1\n' | b'Let g(k) = 4*k - 23. Let f(q) = 16*q - 70. Let a(z) = 2*f(z) - 7*g(z). Let m = -17 - -13. Let u be a(m). Solve 2*n + 4 = -2*x, x + 3*n - u*n = 7 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bvvb.\n' | b'2/3\n' | b'Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bvvb.\n' | b'2/3\n' | deepmind/math_dataset |
b'Simplify (v*v**(-6))**(-40) assuming v is positive.\n' | b'v**200\n' | b'Simplify (v*v**(-6))**(-40) assuming v is positive.\n' | b'v**200\n' | deepmind/math_dataset |
b'Simplify ((h*h/h**4)/(h*h*h*h/(h*h**(-1/3)/h*h*h)*h*h*h))/(h**(-2/13)*h/h**14*h*h*h) assuming h is positive.\n' | b'h**(110/39)\n' | b'Simplify ((h*h/h**4)/(h*h*h*h/(h*h**(-1/3)/h*h*h)*h*h*h))/(h**(-2/13)*h/h**14*h*h*h) assuming h is positive.\n' | b'h**(110/39)\n' | deepmind/math_dataset |
b'Suppose -2*i - 3*w + 36 = 0, -2*i - 3*i + 5*w + 40 = 0. Let o be 62/i - (-2)/(-12). Solve 32 = 5*r + 3*j + 12, 2*j - 5 = o*r for r.\n' | b'1\n' | b'Suppose -2*i - 3*w + 36 = 0, -2*i - 3*i + 5*w + 40 = 0. Let o be 62/i - (-2)/(-12). Solve 32 = 5*r + 3*j + 12, 2*j - 5 = o*r for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify k*k/k**(-14)*k**(4/9)*(k**(-2/25)/k*k)/k**(9/4) assuming k is positive.\n' | b'k**(12703/900)\n' | b'Simplify k*k/k**(-14)*k**(4/9)*(k**(-2/25)/k*k)/k**(9/4) assuming k is positive.\n' | b'k**(12703/900)\n' | deepmind/math_dataset |
b'Simplify o**28*(o*o**(-7)*o*o*o)/o assuming o is positive.\n' | b'o**24\n' | b'Simplify o**28*(o*o**(-7)*o*o*o)/o assuming o is positive.\n' | b'o**24\n' | deepmind/math_dataset |
b'Let h be (-1 - -2) + (-2)/(-2). Suppose 0 = a - 4*i - 10, 5 = h*i - 5. Suppose a = 6*z - z. Solve 0 = -2*m + z, -2*n - 13 = -0*n - m for n.\n' | b'-5\n' | b'Let h be (-1 - -2) + (-2)/(-2). Suppose 0 = a - 4*i - 10, 5 = h*i - 5. Suppose a = 6*z - z. Solve 0 = -2*m + z, -2*n - 13 = -0*n - m for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q(f) = -f**3 - f**2 + f - 1. Let d(n) = -6*n**3 - 6*n**2 + 7*n - 5. Let g(w) = -d(w) + 5*q(w). What is g(2)?\n' | b'8\n' | b'Let q(f) = -f**3 - f**2 + f - 1. Let d(n) = -6*n**3 - 6*n**2 + 7*n - 5. Let g(w) = -d(w) + 5*q(w). What is g(2)?\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, n: 1, l: 1, p: 1, j: 2, s: 1}. What is prob of sequence ttp?\n' | b'0\n' | b'Three letters picked without replacement from {t: 1, n: 1, l: 1, p: 1, j: 2, s: 1}. What is prob of sequence ttp?\n' | b'0\n' | deepmind/math_dataset |
b'Let n be 5/(871/(-234) + -3 + 7). Solve -5*m + 2*k = -5, -4*m - n*k = -23*k + 13 for m.\n' | b'3\n' | b'Let n be 5/(871/(-234) + -3 + 7). Solve -5*m + 2*k = -5, -4*m - n*k = -23*k + 13 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Find the third derivative of -4*u**5 - 5*u**2 + 6*u**2 - 2*u**5 wrt u.\n' | b'-360*u**2\n' | b'Find the third derivative of -4*u**5 - 5*u**2 + 6*u**2 - 2*u**5 wrt u.\n' | b'-360*u**2\n' | deepmind/math_dataset |
b'Let v(i) = -3*i**2 - 18*i + 2. Let p be v(-6). Solve -23*t - 2*x = -20*t + 9, p*t + 5*x = -17 for t.\n' | b'-1\n' | b'Let v(i) = -3*i**2 - 18*i + 2. Let p be v(-6). Solve -23*t - 2*x = -20*t + 9, p*t + 5*x = -17 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*u + 13 = -7. Let h = 60 + -25. Suppose -175 = -u*k - h. Solve 0 = 2*q + 6*r - r + k, -4*r = -q + 15 for q.\n' | b'-5\n' | b'Suppose -5*u + 13 = -7. Let h = 60 + -25. Suppose -175 = -u*k - h. Solve 0 = 2*q + 6*r - r + k, -4*r = -q + 15 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence hu when two letters picked without replacement from {a: 3, h: 3, u: 2}.\n' | b'3/28\n' | b'Calculate prob of sequence hu when two letters picked without replacement from {a: 3, h: 3, u: 2}.\n' | b'3/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, m: 18}. Give prob of sequence mr.\n' | b'9/95\n' | b'Two letters picked without replacement from {r: 2, m: 18}. Give prob of sequence mr.\n' | b'9/95\n' | deepmind/math_dataset |
b'Suppose q + 10 = -3*q + 2*y, -4*q = -y + 11. Let h(t) be the second derivative of -2*t**2 - t - 1/3*t**3 - 1/12*t**4 + 0. Give h(q).\n' | b'-7\n' | b'Suppose q + 10 = -3*q + 2*y, -4*q = -y + 11. Let h(t) be the second derivative of -2*t**2 - t - 1/3*t**3 - 1/12*t**4 + 0. Give h(q).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from hhgh.\n' | b'1/2\n' | b'Calculate prob of sequence hh when two letters picked without replacement from hhgh.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -10655*d = -10635*d. Solve 3*m + 5*o = 0, d*m = m - 2*o for m.\n' | b'0\n' | b'Suppose -10655*d = -10635*d. Solve 3*m + 5*o = 0, d*m = m - 2*o for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(j) be the third derivative of 0*j**6 - 5/24*j**4 + 0*j**3 + 1/70*j**7 - 3*j**2 + 0*j + 0*j**5 + 0. Find the second derivative of n(i) wrt i.\n' | b'36*i**2\n' | b'Let n(j) be the third derivative of 0*j**6 - 5/24*j**4 + 0*j**3 + 1/70*j**7 - 3*j**2 + 0*j + 0*j**5 + 0. Find the second derivative of n(i) wrt i.\n' | b'36*i**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 3 m when four letters picked without replacement from {g: 11, m: 3}?\n' | b'1/91\n' | b'What is prob of picking 1 g and 3 m when four letters picked without replacement from {g: 11, m: 3}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let f(d) = -d**3 + 11*d**2 - 2*d + 1. Let y be f(11). Let v = 13 + y. Let a(b) = -b - 8. Let k be a(v). Solve -2*g + 3*q + 10 = -g, 2*g - 4*q - 10 = k for g.\n' | b'-5\n' | b'Let f(d) = -d**3 + 11*d**2 - 2*d + 1. Let y be f(11). Let v = 13 + y. Let a(b) = -b - 8. Let k be a(v). Solve -2*g + 3*q + 10 = -g, 2*g - 4*q - 10 = k for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ktd when three letters picked without replacement from wqdkdqkt.\n' | b'1/84\n' | b'Calculate prob of sequence ktd when three letters picked without replacement from wqdkdqkt.\n' | b'1/84\n' | deepmind/math_dataset |
b'Simplify (i/(i/(i/i**16)))/(i*(i/((i/((i/(i*i*i**(-5/2)))/i*i))/i))/i) assuming i is positive.\n' | b'i**(-35/2)\n' | b'Simplify (i/(i/(i/i**16)))/(i*(i/((i/((i/(i*i*i**(-5/2)))/i*i))/i))/i) assuming i is positive.\n' | b'i**(-35/2)\n' | deepmind/math_dataset |
b'What is prob of sequence vq when two letters picked without replacement from {y: 4, v: 4, q: 5, r: 3}?\n' | b'1/12\n' | b'What is prob of sequence vq when two letters picked without replacement from {y: 4, v: 4, q: 5, r: 3}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let g be (-3 + 18/4)*6. Let y be (g/(-6))/(9/(-24)). Find the second derivative of 5*n + n**4 + 4*n**4 + 0*n**y wrt n.\n' | b'60*n**2\n' | b'Let g be (-3 + 18/4)*6. Let y be (g/(-6))/(9/(-24)). Find the second derivative of 5*n + n**4 + 4*n**4 + 0*n**y wrt n.\n' | b'60*n**2\n' | deepmind/math_dataset |
b'Suppose -f + 415 = -3*n + 8*n, 4*f = 2*n - 144. Let k = n - 78. Let g = -4 + 6. Solve 6*p + 16 = g*p, -j + 15 = -k*p for j.\n' | b'-1\n' | b'Suppose -f + 415 = -3*n + 8*n, 4*f = 2*n - 144. Let k = n - 78. Let g = -4 + 6. Solve 6*p + 16 = g*p, -j + 15 = -k*p for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Let b(n) = -4*n**4 + 3*n**2 + 3. Let t(c) = -5*c**4 + 0*c**3 - 2 + 6 + 3*c**2 + 0*c**3. Let v(j) = -4*b(j) + 3*t(j). Find the third derivative of v(d) wrt d.\n' | b'24*d\n' | b'Let b(n) = -4*n**4 + 3*n**2 + 3. Let t(c) = -5*c**4 + 0*c**3 - 2 + 6 + 3*c**2 + 0*c**3. Let v(j) = -4*b(j) + 3*t(j). Find the third derivative of v(d) wrt d.\n' | b'24*d\n' | deepmind/math_dataset |
b'Suppose -5*n - 2*i - 110 = 3*i, -2*n = -3*i + 54. Let d = -19 - n. Let v(l) = l**3 - 6*l**2 + 5*l - 3. Give v(d).\n' | b'-3\n' | b'Suppose -5*n - 2*i - 110 = 3*i, -2*n = -3*i + 54. Let d = -19 - n. Let v(l) = l**3 - 6*l**2 + 5*l - 3. Give v(d).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 l and 2 k when four letters picked without replacement from lklklkkkll?\n' | b'10/21\n' | b'What is prob of picking 2 l and 2 k when four letters picked without replacement from lklklkkkll?\n' | b'10/21\n' | deepmind/math_dataset |
b'Simplify (r*r/(r*r/(r/r**(-3/4)*r*r*r*r))*r*r**7/r*r*r)**(-1/27) assuming r is positive.\n' | b'r**(-59/108)\n' | b'Simplify (r*r/(r*r/(r/r**(-3/4)*r*r*r*r))*r*r**7/r*r*r)**(-1/27) assuming r is positive.\n' | b'r**(-59/108)\n' | deepmind/math_dataset |
b'Let y be 20/(-6)*3/(-5). Suppose 3*x = -n - y, -4*x + 16 = 5*n - 2*x. Solve 5*k + n*h = 37, 2*h = -3*k + 7*h for k.\n' | b'5\n' | b'Let y be 20/(-6)*3/(-5). Suppose 3*x = -n - y, -4*x + 16 = 5*n - 2*x. Solve 5*k + n*h = 37, 2*h = -3*k + 7*h for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let p(s) be the second derivative of s**5/20 - 2*s**3/3 + 6*s. Find the second derivative of p(f) wrt f.\n' | b'6*f\n' | b'Let p(s) be the second derivative of s**5/20 - 2*s**3/3 + 6*s. Find the second derivative of p(f) wrt f.\n' | b'6*f\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttlltltlll. Give prob of sequence lt.\n' | b'4/15\n' | b'Two letters picked without replacement from ttlltltlll. Give prob of sequence lt.\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify (g*g**19*g*g/g**(-30))/(g**(4/3))**(-1/4) assuming g is positive.\n' | b'g**(157/3)\n' | b'Simplify (g*g**19*g*g/g**(-30))/(g**(4/3))**(-1/4) assuming g is positive.\n' | b'g**(157/3)\n' | deepmind/math_dataset |
b'Simplify (x**(2/5)*x/x**(1/11))**(-15/4) assuming x is positive.\n' | b'x**(-54/11)\n' | b'Simplify (x**(2/5)*x/x**(1/11))**(-15/4) assuming x is positive.\n' | b'x**(-54/11)\n' | deepmind/math_dataset |
b'Simplify ((m**(-1)/m)**34*(m**(-1))**(-38))/(m**6*m**8)**(2/137) assuming m is positive.\n' | b'm**(-4138/137)\n' | b'Simplify ((m**(-1)/m)**34*(m**(-1))**(-38))/(m**6*m**8)**(2/137) assuming m is positive.\n' | b'm**(-4138/137)\n' | deepmind/math_dataset |
b'What is prob of sequence opw when three letters picked without replacement from qofopqofoonooow?\n' | b'4/1365\n' | b'What is prob of sequence opw when three letters picked without replacement from qofopqofoonooow?\n' | b'4/1365\n' | deepmind/math_dataset |
b'Simplify (x*x**1*x**(1/5)/x*x*(x/(x/x**(1/2)))**(-14))/((x**(4/7)/(x*(x/(x*(x/(x/x**4))/x)*x)/x*x))/(x**(-5/2)/(x**(2/5)/x))) assuming x is positive.\n' | b'x**(-579/70)\n' | b'Simplify (x*x**1*x**(1/5)/x*x*(x/(x/x**(1/2)))**(-14))/((x**(4/7)/(x*(x/(x*(x/(x/x**4))/x)*x)/x*x))/(x**(-5/2)/(x**(2/5)/x))) assuming x is positive.\n' | b'x**(-579/70)\n' | deepmind/math_dataset |
b'Simplify ((r*r**3*r*r*r)**(4/17)*r*r**4*r*r**(-3/4)/r)**(1/20) assuming r is positive.\n' | b'r**(401/1360)\n' | b'Simplify ((r*r**3*r*r*r)**(4/17)*r*r**4*r*r**(-3/4)/r)**(1/20) assuming r is positive.\n' | b'r**(401/1360)\n' | deepmind/math_dataset |
b'Let c(t) = -t**2 + 4*t - 1. Suppose -6*v + 10 = -v. Let y be c(v). What is the derivative of 8*d**3 + 1 - 12 - 7*d**y wrt d?\n' | b'3*d**2\n' | b'Let c(t) = -t**2 + 4*t - 1. Suppose -6*v + 10 = -v. Let y be c(v). What is the derivative of 8*d**3 + 1 - 12 - 7*d**y wrt d?\n' | b'3*d**2\n' | deepmind/math_dataset |
b'Simplify (x/((x/x**7)/x*x))**(2/127)*x*x**(4/15)*(x*x**(1/28)*x)/x assuming x is positive.\n' | b'x**(128689/53340)\n' | b'Simplify (x/((x/x**7)/x*x))**(2/127)*x*x**(4/15)*(x*x**(1/28)*x)/x assuming x is positive.\n' | b'x**(128689/53340)\n' | deepmind/math_dataset |
b'Let r be 6/(-8) - 22/(-8). Solve -r*u = 2*u - 2*y, -4*u - 3*y = 0 for u.\n' | b'0\n' | b'Let r be 6/(-8) - 22/(-8). Solve -r*u = 2*u - 2*y, -4*u - 3*y = 0 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let l(b) = 5*b - 3. Let t(q) = q + 1. Let o(m) = l(m) + 2*t(m). Let v = 2 - 1. Give o(v).\n' | b'6\n' | b'Let l(b) = 5*b - 3. Let t(q) = q + 1. Let o(m) = l(m) + 2*t(m). Let v = 2 - 1. Give o(v).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence zjz when three letters picked without replacement from gcbgbgzzzcgzcjbbbjg.\n' | b'4/969\n' | b'Calculate prob of sequence zjz when three letters picked without replacement from gcbgbgzzzcgzcjbbbjg.\n' | b'4/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 6, h: 4}. Give prob of picking 2 c.\n' | b'1/3\n' | b'Two letters picked without replacement from {c: 6, h: 4}. Give prob of picking 2 c.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let g(h) be the second derivative of -41*h**5/20 + 20*h**3/3 + 48*h. What is the second derivative of g(k) wrt k?\n' | b'-246*k\n' | b'Let g(h) be the second derivative of -41*h**5/20 + 20*h**3/3 + 48*h. What is the second derivative of g(k) wrt k?\n' | b'-246*k\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 2, m: 1, g: 1, j: 3, l: 3}. What is prob of sequence mjn?\n' | b'1/120\n' | b'Three letters picked without replacement from {n: 2, m: 1, g: 1, j: 3, l: 3}. What is prob of sequence mjn?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let m(w) = w - 6. Suppose -r + 4*r = -y + 17, r - 29 = -5*y. Calculate m(y).\n' | b'-1\n' | b'Let m(w) = w - 6. Suppose -r + 4*r = -y + 17, r - 29 = -5*y. Calculate m(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(q) = q**2 + 2*q + 4. Let j be y(-3). Let c(b) = -b + 14. Let v be c(11). Solve -j + v = -m - w, -4*w = m - 7 for m.\n' | b'3\n' | b'Let y(q) = q**2 + 2*q + 4. Let j be y(-3). Let c(b) = -b + 14. Let v be c(11). Solve -j + v = -m - w, -4*w = m - 7 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 d when two letters picked without replacement from cclzlcwcczzlrdd.\n' | b'2/105\n' | b'Calculate prob of picking 1 r and 1 d when two letters picked without replacement from cclzlcwcczzlrdd.\n' | b'2/105\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from akkkkkkkakkkakkkakkk?\n' | b'364/969\n' | b'What is prob of picking 4 k when four letters picked without replacement from akkkkkkkakkkakkkakkk?\n' | b'364/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from waajbahjjbwhawhw. What is prob of sequence ha?\n' | b'1/20\n' | b'Two letters picked without replacement from waajbahjjbwhawhw. What is prob of sequence ha?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence lz when two letters picked without replacement from mgzlmglmlgbmmggzgg?\n' | b'1/51\n' | b'What is prob of sequence lz when two letters picked without replacement from mgzlmglmlgbmmggzgg?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let w(t) = 0 + 66*t - 4 + 1 - 65*t. Calculate w(-8).\n' | b'-11\n' | b'Let w(t) = 0 + 66*t - 4 + 1 - 65*t. Calculate w(-8).\n' | b'-11\n' | deepmind/math_dataset |
b'Let n be 10/(-8)*(-372)/155. Solve -2*f - n*w + 8 = -7*w, -5*f - 36 = 4*w for f.\n' | b'-4\n' | b'Let n be 10/(-8)*(-372)/155. Solve -2*f - n*w + 8 = -7*w, -5*f - 36 = 4*w for f.\n' | b'-4\n' | deepmind/math_dataset |
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