question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let c(x) be the third derivative of -x**8/48 + 11*x**5/20 - 123*x**4/4 - 104*x**2 - 2. Find the second derivative of c(z) wrt z.\n' | b'-140*z**3 + 66\n' | b'Let c(x) be the third derivative of -x**8/48 + 11*x**5/20 - 123*x**4/4 - 104*x**2 - 2. Find the second derivative of c(z) wrt z.\n' | b'-140*z**3 + 66\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {n: 5, i: 3}?\n' | b'5/14\n' | b'What is prob of sequence nn when two letters picked without replacement from {n: 5, i: 3}?\n' | b'5/14\n' | deepmind/math_dataset |
b'Let l(f) be the first derivative of -3*f**2/2 + 4*f - 31613. Suppose -1 = 3*a - 19. What is l(a)?\n' | b'-14\n' | b'Let l(f) be the first derivative of -3*f**2/2 + 4*f - 31613. Suppose -1 = 3*a - 19. What is l(a)?\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 5, u: 1, o: 4, s: 1, w: 1, b: 1}?\n' | b'10/39\n' | b'What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 5, u: 1, o: 4, s: 1, w: 1, b: 1}?\n' | b'10/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 3 r when four letters picked without replacement from {m: 2, r: 11}.\n' | b'6/13\n' | b'Calculate prob of picking 1 m and 3 r when four letters picked without replacement from {m: 2, r: 11}.\n' | b'6/13\n' | deepmind/math_dataset |
b'Simplify z/(z/(z**(-2/3)/z*z))*(z**(-21)*z)/z*z assuming z is positive.\n' | b'z**(-62/3)\n' | b'Simplify z/(z/(z**(-2/3)/z*z))*(z**(-21)*z)/z*z assuming z is positive.\n' | b'z**(-62/3)\n' | deepmind/math_dataset |
b'Suppose 3*n + n - 16 = 0. Suppose 2*v + n*b - 12 = 0, 2*b = -v + 6*b - 18. Let z be v*12/(-8) + -3. Solve z*p = 4*o + 4*p + 16, 0 = -o + p - 4 for o.\n' | b'-4\n' | b'Suppose 3*n + n - 16 = 0. Suppose 2*v + n*b - 12 = 0, 2*b = -v + 6*b - 18. Let z be v*12/(-8) + -3. Solve z*p = 4*o + 4*p + 16, 0 = -o + p - 4 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(b) = -28*b + 28*b - 3*b**2 + 1. Let f be l(-1). Let a(r) be the first derivative of r**4/4 + r**2 + 2*r + 9. Calculate a(f).\n' | b'-10\n' | b'Let l(b) = -28*b + 28*b - 3*b**2 + 1. Let f be l(-1). Let a(r) be the first derivative of r**4/4 + r**2 + 2*r + 9. Calculate a(f).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddddmdmmmddddmmdddd. What is prob of picking 2 d?\n' | b'26/57\n' | b'Two letters picked without replacement from ddddmdmmmddddmmdddd. What is prob of picking 2 d?\n' | b'26/57\n' | deepmind/math_dataset |
b'Let l be (-4)/11 + 414036/3498. Solve 3*b - 80 = 4*i - l, -b = 2 for i.\n' | b'8\n' | b'Let l be (-4)/11 + 414036/3498. Solve 3*b - 80 = 4*i - l, -b = 2 for i.\n' | b'8\n' | deepmind/math_dataset |
b'Let k(s) = -s - 13. Suppose 1 = -5*m - 74. Let a be k(m). What is the second derivative of a*i - 8*i + 35*i**2 - 30*i**2 wrt i?\n' | b'10\n' | b'Let k(s) = -s - 13. Suppose 1 = -5*m - 74. Let a be k(m). What is the second derivative of a*i - 8*i + 35*i**2 - 30*i**2 wrt i?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence cxjb when four letters picked without replacement from jxjbbrjjjjxrcbrjlj.\n' | b'1/1530\n' | b'Calculate prob of sequence cxjb when four letters picked without replacement from jxjbbrjjjjxrcbrjlj.\n' | b'1/1530\n' | deepmind/math_dataset |
b'Let z(c) = c + 13. Let j(i) = -6. Let v(l) = 5*j(l) + 2*z(l). What is v(6)?\n' | b'8\n' | b'Let z(c) = c + 13. Let j(i) = -6. Let v(l) = 5*j(l) + 2*z(l). What is v(6)?\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ytqxqpt. Give prob of sequence py.\n' | b'1/42\n' | b'Two letters picked without replacement from ytqxqpt. Give prob of sequence py.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let s = -17 - -29. Let w be 2/(-7) + s/(-7). Let v be 11 + 3 + -1 + w. Solve -2*y + 5*k + v = 0, 4*y = y + 2*k + 11 for y.\n' | b'3\n' | b'Let s = -17 - -29. Let w be 2/(-7) + s/(-7). Let v be 11 + 3 + -1 + w. Solve -2*y + 5*k + v = 0, 4*y = y + 2*k + 11 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aggcaggccgggggg. Give prob of picking 1 a and 1 c.\n' | b'2/35\n' | b'Two letters picked without replacement from aggcaggccgggggg. Give prob of picking 1 a and 1 c.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify (f**(1/11))**8 assuming f is positive.\n' | b'f**(8/11)\n' | b'Simplify (f**(1/11))**8 assuming f is positive.\n' | b'f**(8/11)\n' | deepmind/math_dataset |
b'Simplify (x**(-2/7))**(2/37)*x**(-4/3)/x*x/(x/(x/((x/(x/x**(-2))*x)/x)*x)) assuming x is positive.\n' | b'x**(1283/777)\n' | b'Simplify (x**(-2/7))**(2/37)*x**(-4/3)/x*x/(x/(x/((x/(x/x**(-2))*x)/x)*x)) assuming x is positive.\n' | b'x**(1283/777)\n' | deepmind/math_dataset |
b'Let w = -11 - -21. Let d be (4/2)/(w/35). Let r = d + -4. Solve r = c - 2*n, 0 = -3*n - 13 + 1 for c.\n' | b'-5\n' | b'Let w = -11 - -21. Let d be (4/2)/(w/35). Let r = d + -4. Solve r = c - 2*n, 0 = -3*n - 13 + 1 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((y**1/y)**(-3/22))**(2/73)/((((y*y**(-1/2)*y*y)/y)/y)**25*y/(y/(y**(-2/17)*y)*y)*y*y**(-2/9)) assuming y is positive.\n' | b'y**(-4027/306)\n' | b'Simplify ((y**1/y)**(-3/22))**(2/73)/((((y*y**(-1/2)*y*y)/y)/y)**25*y/(y/(y**(-2/17)*y)*y)*y*y**(-2/9)) assuming y is positive.\n' | b'y**(-4027/306)\n' | deepmind/math_dataset |
b'Let n(c) = -c**3 - 4*c**2 - 2*c - 6. Let d(h) = 6*h + 32. Let j be d(-6). Determine n(j).\n' | b'2\n' | b'Let n(c) = -c**3 - 4*c**2 - 2*c - 6. Let d(h) = 6*h + 32. Let j be d(-6). Determine n(j).\n' | b'2\n' | deepmind/math_dataset |
b'What is the second derivative of -2*t - 54*t**2 - 57*t**2 + 106*t**2 + 3*t**3 + 1 wrt t?\n' | b'18*t - 10\n' | b'What is the second derivative of -2*t - 54*t**2 - 57*t**2 + 106*t**2 + 3*t**3 + 1 wrt t?\n' | b'18*t - 10\n' | deepmind/math_dataset |
b'Let z = -9 + 12. Let m = z - 1. Solve m*l + 6 = 0, 5*s + 0*l + 2*l + 6 = 0 for s.\n' | b'0\n' | b'Let z = -9 + 12. Let m = z - 1. Solve m*l + 6 = 0, 5*s + 0*l + 2*l + 6 = 0 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n and 1 s when four letters picked without replacement from {n: 13, s: 6}.\n' | b'143/323\n' | b'Calculate prob of picking 3 n and 1 s when four letters picked without replacement from {n: 13, s: 6}.\n' | b'143/323\n' | deepmind/math_dataset |
b'Let b(c) = 48*c**4 - 5*c**3 - 47*c**2 - 5. Let i(f) = 24*f**4 - 3*f**3 - 24*f**2 - 3. Let s(a) = 3*b(a) - 5*i(a). What is the third derivative of s(o) wrt o?\n' | b'576*o\n' | b'Let b(c) = 48*c**4 - 5*c**3 - 47*c**2 - 5. Let i(f) = 24*f**4 - 3*f**3 - 24*f**2 - 3. Let s(a) = 3*b(a) - 5*i(a). What is the third derivative of s(o) wrt o?\n' | b'576*o\n' | deepmind/math_dataset |
b'Let l = 36 - 33. Let s(p) be the second derivative of 0 - 1/2*p**3 - l*p + 5/2*p**2. Determine s(5).\n' | b'-10\n' | b'Let l = 36 - 33. Let s(p) be the second derivative of 0 - 1/2*p**3 - l*p + 5/2*p**2. Determine s(5).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify ((r*r*r/(((r*r/(r**(-1/7)/r))/r)/r)*r)/r*r**1)**(-38)*(((r/(r/r**(1/2)))/r)/r**0)/(r**(2/5)*r)**(-3/2) assuming r is positive.\n' | b'r**(-3744/35)\n' | b'Simplify ((r*r*r/(((r*r/(r**(-1/7)/r))/r)/r)*r)/r*r**1)**(-38)*(((r/(r/r**(1/2)))/r)/r**0)/(r**(2/5)*r)**(-3/2) assuming r is positive.\n' | b'r**(-3744/35)\n' | deepmind/math_dataset |
b'Suppose -2*j - 18 = -4*j. Let y = j - -2. Let p(d) = 3*d + 19. Let c be p(6). Solve 4*v = 4*x + 8, 4*x - c = -y*v + 6*v for x.\n' | b'3\n' | b'Suppose -2*j - 18 = -4*j. Let y = j - -2. Let p(d) = 3*d + 19. Let c be p(6). Solve 4*v = 4*x + 8, 4*x - c = -y*v + 6*v for x.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 1, g: 1, p: 1, z: 2}. What is prob of sequence zug?\n' | b'1/30\n' | b'Three letters picked without replacement from {u: 1, g: 1, p: 1, z: 2}. What is prob of sequence zug?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence ahd when three letters picked without replacement from {d: 1, p: 1, y: 2, f: 1, a: 1, h: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence ahd when three letters picked without replacement from {d: 1, p: 1, y: 2, f: 1, a: 1, h: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let k(l) = -7*l - 74. Let v(d) = 3*d + 25. Let f(m) = 4*k(m) + 11*v(m). Let g be f(4). Let c(i) = 9*i**3 - i. Determine c(g).\n' | b'-8\n' | b'Let k(l) = -7*l - 74. Let v(d) = 3*d + 25. Let f(m) = 4*k(m) + 11*v(m). Let g be f(4). Let c(i) = 9*i**3 - i. Determine c(g).\n' | b'-8\n' | deepmind/math_dataset |
b'Let u(t) be the second derivative of 2929*t**7/42 - 3*t**3/2 + 12*t**2 - 61*t + 24. Find the second derivative of u(q) wrt q.\n' | b'58580*q**3\n' | b'Let u(t) be the second derivative of 2929*t**7/42 - 3*t**3/2 + 12*t**2 - 61*t + 24. Find the second derivative of u(q) wrt q.\n' | b'58580*q**3\n' | deepmind/math_dataset |
b'Let b be 2021/473 - 12/44. Suppose -5*y - f = -5 - 9, f - 12 = -4*y. Solve -2*m - b*h = -m, 0 = y*m + h for m.\n' | b'0\n' | b'Let b be 2021/473 - 12/44. Suppose -5*y - f = -5 - 9, f - 12 = -4*y. Solve -2*m - b*h = -m, 0 = y*m + h for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(x) be the second derivative of -37*x**6/30 + 13*x**2/2 + 27*x. Find the first derivative of u(r) wrt r.\n' | b'-148*r**3\n' | b'Let u(x) be the second derivative of -37*x**6/30 + 13*x**2/2 + 27*x. Find the first derivative of u(r) wrt r.\n' | b'-148*r**3\n' | deepmind/math_dataset |
b'Suppose l - 5*b = -20, 2*l = -3*l - 5*b + 50. Let m be (4 - 0)*(1 - 0). Suppose -l + m = -t. Solve -t = 3*k - 5*r, 0 = 4*k - r - 0 + 7 for k.\n' | b'-2\n' | b'Suppose l - 5*b = -20, 2*l = -3*l - 5*b + 50. Let m be (4 - 0)*(1 - 0). Suppose -l + m = -t. Solve -t = 3*k - 5*r, 0 = 4*k - r - 0 + 7 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(w) be the second derivative of w**4/12 - 7*w**3/6 + 13*w**2/2 + 41*w - 2. Differentiate h(n) wrt n.\n' | b'2*n - 7\n' | b'Let h(w) be the second derivative of w**4/12 - 7*w**3/6 + 13*w**2/2 + 41*w - 2. Differentiate h(n) wrt n.\n' | b'2*n - 7\n' | deepmind/math_dataset |
b'Simplify ((b/(b*b**0)*b)**(-15))**35*(b*b/(b/(b**1/b*b*b))*b*b*b/b**2*b)**(3/29) assuming b is positive.\n' | b'b**(-15210/29)\n' | b'Simplify ((b/(b*b**0)*b)**(-15))**35*(b*b/(b/(b**1/b*b*b))*b*b*b/b**2*b)**(3/29) assuming b is positive.\n' | b'b**(-15210/29)\n' | deepmind/math_dataset |
b'Suppose 6*l - 3*l = k + 19, -2*k + 4*l = 32. Let u be (-2)/(2/(k/(-1))). Let b(p) = p**3 + 9*p**2 - 12*p - 12. Give b(u).\n' | b'8\n' | b'Suppose 6*l - 3*l = k + 19, -2*k + 4*l = 32. Let u be (-2)/(2/(k/(-1))). Let b(p) = p**3 + 9*p**2 - 12*p - 12. Give b(u).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of sequence rr when two letters picked without replacement from {r: 4, f: 2}?\n' | b'2/5\n' | b'What is prob of sequence rr when two letters picked without replacement from {r: 4, f: 2}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let h(n) be the first derivative of -n**7/30 - n**3/6 + n**2 - 13. Let i(y) be the second derivative of h(y). Find the first derivative of i(d) wrt d.\n' | b'-28*d**3\n' | b'Let h(n) be the first derivative of -n**7/30 - n**3/6 + n**2 - 13. Let i(y) be the second derivative of h(y). Find the first derivative of i(d) wrt d.\n' | b'-28*d**3\n' | deepmind/math_dataset |
b'What is the third derivative of 53 - 3*o**2 - 21*o**2 + 56*o**2 - 17 - 1245*o**4 wrt o?\n' | b'-29880*o\n' | b'What is the third derivative of 53 - 3*o**2 - 21*o**2 + 56*o**2 - 17 - 1245*o**4 wrt o?\n' | b'-29880*o\n' | deepmind/math_dataset |
b'Let u be (-1)/(-2)*8/2. Let m be (0 + -2)*(1 + -2). Find the third derivative of y**u - 3*y**3 + m*y**3 + 0*y**2 wrt y.\n' | b'-6\n' | b'Let u be (-1)/(-2)*8/2. Let m be (0 + -2)*(1 + -2). Find the third derivative of y**u - 3*y**3 + m*y**3 + 0*y**2 wrt y.\n' | b'-6\n' | deepmind/math_dataset |
b'Let j = 3 + 0. Suppose -j*g - 2*g = 0. Let r(k) = -k**2 - k - 1. What is r(g)?\n' | b'-1\n' | b'Let j = 3 + 0. Suppose -j*g - 2*g = 0. Let r(k) = -k**2 - k - 1. What is r(g)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((w**1/w)/((w*w**(-2/11)*w*w)/w*w))/(w**(-14)*((w*w**(-5))/w)/w*w*w))**(-46) assuming w is positive.\n' | b'w**(-7682/11)\n' | b'Simplify (((w**1/w)/((w*w**(-2/11)*w*w)/w*w))/(w**(-14)*((w*w**(-5))/w)/w*w*w))**(-46) assuming w is positive.\n' | b'w**(-7682/11)\n' | deepmind/math_dataset |
b'Let j(q) = -33*q - 43*q + 119*q - 42*q - 15. Determine j(-3).\n' | b'-18\n' | b'Let j(q) = -33*q - 43*q + 119*q - 42*q - 15. Determine j(-3).\n' | b'-18\n' | deepmind/math_dataset |
b'Let z(a) = -a**2 - 11*a - 10. Suppose 0 = -f + 5*b - 13, 0 = 4*f + 3*b + 2*b + 27. Give z(f).\n' | b'14\n' | b'Let z(a) = -a**2 - 11*a - 10. Suppose 0 = -f + 5*b - 13, 0 = 4*f + 3*b + 2*b + 27. Give z(f).\n' | b'14\n' | deepmind/math_dataset |
b'Let p(h) be the first derivative of 1/12*h**4 + 1/360*h**6 + 0*h + 0*h**2 + 8 + 4*h**3 - 1/40*h**5. Let d(g) be the third derivative of p(g). What is d(2)?\n' | b'0\n' | b'Let p(h) be the first derivative of 1/12*h**4 + 1/360*h**6 + 0*h + 0*h**2 + 8 + 4*h**3 - 1/40*h**5. Let d(g) be the third derivative of p(g). What is d(2)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (v*v/(v*v/v**(2/7))*v/(v/v**(-13/5)))**49 assuming v is positive.\n' | b'v**(-567/5)\n' | b'Simplify (v*v/(v*v/v**(2/7))*v/(v/v**(-13/5)))**49 assuming v is positive.\n' | b'v**(-567/5)\n' | deepmind/math_dataset |
b'Simplify v**12/(v**(-4)*v)*((v/(v*(v**(6/7)*v)/v))/v)**6 assuming v is positive.\n' | b'v**(27/7)\n' | b'Simplify v**12/(v**(-4)*v)*((v/(v*(v**(6/7)*v)/v))/v)**6 assuming v is positive.\n' | b'v**(27/7)\n' | deepmind/math_dataset |
b'Simplify a**26*a*a*a*a**21*(a**19/a)/a**(1/2) assuming a is positive.\n' | b'a**(135/2)\n' | b'Simplify a**26*a*a*a*a**21*(a**19/a)/a**(1/2) assuming a is positive.\n' | b'a**(135/2)\n' | deepmind/math_dataset |
b'Let t(i) = 7*i**2 + 32*i - 13. Let w(m) = -4*m**2 - 16*m + 6. Let c(d) = -6*t(d) - 13*w(d). Find the second derivative of c(f) wrt f.\n' | b'20\n' | b'Let t(i) = 7*i**2 + 32*i - 13. Let w(m) = -4*m**2 - 16*m + 6. Let c(d) = -6*t(d) - 13*w(d). Find the second derivative of c(f) wrt f.\n' | b'20\n' | deepmind/math_dataset |
b'Simplify o**(-1)*o*o**3*(o**(-2)/o)**(-9/2) assuming o is positive.\n' | b'o**(33/2)\n' | b'Simplify o**(-1)*o*o**3*(o**(-2)/o)**(-9/2) assuming o is positive.\n' | b'o**(33/2)\n' | deepmind/math_dataset |
b'Simplify (d/(d/((d/(d/(d*d**(-11/4))))/d)))**(16/3)*d**(-2/15)*(d/(d**(-15)/d))/d assuming d is positive.\n' | b'd**(6/5)\n' | b'Simplify (d/(d/((d/(d/(d*d**(-11/4))))/d)))**(16/3)*d**(-2/15)*(d/(d**(-15)/d))/d assuming d is positive.\n' | b'd**(6/5)\n' | deepmind/math_dataset |
b'Suppose 6 = 4*b - 2*b. Let k be (14/4)/((-1)/(-2)). Suppose i = -b*c - c + k, 17 = 4*i + 5*c. Solve 6*t = 2*t - 3*n + 24, i*t - 17 = -2*n for t.\n' | b'3\n' | b'Suppose 6 = 4*b - 2*b. Let k be (14/4)/((-1)/(-2)). Suppose i = -b*c - c + k, 17 = 4*i + 5*c. Solve 6*t = 2*t - 3*n + 24, i*t - 17 = -2*n for t.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence aap when three letters picked without replacement from {q: 4, p: 1, a: 2}?\n' | b'1/105\n' | b'What is prob of sequence aap when three letters picked without replacement from {q: 4, p: 1, a: 2}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let p(d) = -2*d + 7. Let j = 13 + -16. Let x(y) = 7*y - 20. Let l(z) = j*x(z) - 8*p(z). Find the first derivative of l(b) wrt b.\n' | b'-5\n' | b'Let p(d) = -2*d + 7. Let j = 13 + -16. Let x(y) = 7*y - 20. Let l(z) = j*x(z) - 8*p(z). Find the first derivative of l(b) wrt b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a(o) = o**2 - 8*o - 4. Let d(s) be the second derivative of -s**4/12 + 7*s**3/6 + 2*s**2 - s. Let h(b) = -5*a(b) - 6*d(b). What is h(3)?\n' | b'-1\n' | b'Let a(o) = o**2 - 8*o - 4. Let d(s) be the second derivative of -s**4/12 + 7*s**3/6 + 2*s**2 - s. Let h(b) = -5*a(b) - 6*d(b). What is h(3)?\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gapagan. What is prob of picking 1 a and 2 g?\n' | b'3/35\n' | b'Three letters picked without replacement from gapagan. What is prob of picking 1 a and 2 g?\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of sequence eku when three letters picked without replacement from kuuefyp?\n' | b'1/105\n' | b'What is prob of sequence eku when three letters picked without replacement from kuuefyp?\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify u**1*u*u**(-4)*u*u/u**(-3/7)*u/(((u/(u/u**(9/5)))/u)/u) assuming u is positive.\n' | b'u**(57/35)\n' | b'Simplify u**1*u*u**(-4)*u*u/u**(-3/7)*u/(((u/(u/u**(9/5)))/u)/u) assuming u is positive.\n' | b'u**(57/35)\n' | deepmind/math_dataset |
b'Calculate prob of sequence lbl when three letters picked without replacement from {b: 2, l: 10, p: 2}.\n' | b'15/182\n' | b'Calculate prob of sequence lbl when three letters picked without replacement from {b: 2, l: 10, p: 2}.\n' | b'15/182\n' | deepmind/math_dataset |
b'Let h(a) = -3187 + 8*a - a**2 + 2*a**2 + 3189. Suppose -4*p = -3*p + 8. Determine h(p).\n' | b'2\n' | b'Let h(a) = -3187 + 8*a - a**2 + 2*a**2 + 3189. Suppose -4*p = -3*p + 8. Determine h(p).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 3*a + 23 + 106 = 0. Let c = a + 45. Solve c*u = -3*l + 4*u - 4, u = -l - 3 for l.\n' | b'-2\n' | b'Suppose 3*a + 23 + 106 = 0. Let c = a + 45. Solve c*u = -3*l + 4*u - 4, u = -l - 3 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z(i) = -123*i**3 - 13*i - 11. Let r(k) = 31*k**3 + 3*k + 3. Let q(v) = 22*r(v) + 6*z(v). Find the second derivative of q(j) wrt j.\n' | b'-336*j\n' | b'Let z(i) = -123*i**3 - 13*i - 11. Let r(k) = 31*k**3 + 3*k + 3. Let q(v) = 22*r(v) + 6*z(v). Find the second derivative of q(j) wrt j.\n' | b'-336*j\n' | deepmind/math_dataset |
b'Let s(y) = -1 - 10*y - y + 9*y. Give s(-3).\n' | b'5\n' | b'Let s(y) = -1 - 10*y - y + 9*y. Give s(-3).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 5*a - 2 = -3*b, -a - a - 4 = 0. Let u(n) = 3*n - 11. Let r be u(b). What is the derivative of r - 29*y + 27*y - 13 wrt y?\n' | b'-2\n' | b'Suppose 5*a - 2 = -3*b, -a - a - 4 = 0. Let u(n) = 3*n - 11. Let r be u(b). What is the derivative of r - 29*y + 27*y - 13 wrt y?\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(w) = -w**3 - 4*w**2 + 3*w - 4. Suppose -4*c + 20 = -0*c. Suppose o - 4*z = -c, -o - 5*z + 2 - 7 = 0. Give l(o).\n' | b'6\n' | b'Let l(w) = -w**3 - 4*w**2 + 3*w - 4. Suppose -4*c + 20 = -0*c. Suppose o - 4*z = -c, -o - 5*z + 2 - 7 = 0. Give l(o).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (((v*(v**(1/6)*v)/v)/v)/(v*v/((v*v**(-8))/v)*v))/(v**4)**(-43) assuming v is positive.\n' | b'v**(967/6)\n' | b'Simplify (((v*(v**(1/6)*v)/v)/v)/(v*v/((v*v**(-8))/v)*v))/(v**4)**(-43) assuming v is positive.\n' | b'v**(967/6)\n' | deepmind/math_dataset |
b'Let z be 344/64 + -5 - (-13)/8. Suppose 29 + z = 4*d + 5*m, 0 = -d - m + 7. Solve -3*a = 3*p, -2*a + a = 2*p - d for p.\n' | b'4\n' | b'Let z be 344/64 + -5 - (-13)/8. Suppose 29 + z = 4*d + 5*m, 0 = -d - m + 7. Solve -3*a = 3*p, -2*a + a = 2*p - d for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(g) be the first derivative of -2631*g**5/5 + 13384*g + 192. Find the first derivative of j(l) wrt l.\n' | b'-10524*l**3\n' | b'Let j(g) be the first derivative of -2631*g**5/5 + 13384*g + 192. Find the first derivative of j(l) wrt l.\n' | b'-10524*l**3\n' | deepmind/math_dataset |
b'Simplify (o*(o**(-2/9)/o*o)/o*o*o/(o/((o*o**(-9/2))/o)))/(o**(3/5))**(-32) assuming o is positive.\n' | b'o**(1393/90)\n' | b'Simplify (o*(o**(-2/9)/o*o)/o*o*o/(o/((o*o**(-9/2))/o)))/(o**(3/5))**(-32) assuming o is positive.\n' | b'o**(1393/90)\n' | deepmind/math_dataset |
b'What is prob of sequence lv when two letters picked without replacement from oojvvlcvvcvc?\n' | b'5/132\n' | b'What is prob of sequence lv when two letters picked without replacement from oojvvlcvvcvc?\n' | b'5/132\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gvjveeeevvveevjeeje. Give prob of sequence je.\n' | b'3/38\n' | b'Two letters picked without replacement from gvjveeeevvveevjeeje. Give prob of sequence je.\n' | b'3/38\n' | deepmind/math_dataset |
b'Let c(w) = 2*w**3 - 2*w**2 + 4*w - 5. Let f be c(2). Suppose 6*h - 19 = f. Find the second derivative of h*a**4 - 22*a + 6*a + 4*a**4 wrt a.\n' | b'108*a**2\n' | b'Let c(w) = 2*w**3 - 2*w**2 + 4*w - 5. Let f be c(2). Suppose 6*h - 19 = f. Find the second derivative of h*a**4 - 22*a + 6*a + 4*a**4 wrt a.\n' | b'108*a**2\n' | deepmind/math_dataset |
b'Suppose 3*z = -3*c + 15, -4*z + 5 = -2*c - 3. What is the second derivative of 3*o - c*o**5 - 3*o**3 - 11*o**3 + 4*o wrt o?\n' | b'-40*o**3 - 84*o\n' | b'Suppose 3*z = -3*c + 15, -4*z + 5 = -2*c - 3. What is the second derivative of 3*o - c*o**5 - 3*o**3 - 11*o**3 + 4*o wrt o?\n' | b'-40*o**3 - 84*o\n' | deepmind/math_dataset |
b'What is prob of sequence khkh when four letters picked without replacement from {k: 12, h: 7}?\n' | b'77/1292\n' | b'What is prob of sequence khkh when four letters picked without replacement from {k: 12, h: 7}?\n' | b'77/1292\n' | deepmind/math_dataset |
b'Let g = -15 + 34. Let i = 50 - 45. Solve -s = 5*m + g, 4*s + 4*m + 8 = i*s for s.\n' | b'-4\n' | b'Let g = -15 + 34. Let i = 50 - 45. Solve -s = 5*m + g, 4*s + 4*m + 8 = i*s for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let c(g) = 2*g**2 - 22*g - 16. Let v be c(12). Let q(h) = -2*h**2 + 18*h - 7. Calculate q(v).\n' | b'9\n' | b'Let c(g) = 2*g**2 - 22*g - 16. Let v be c(12). Let q(h) = -2*h**2 + 18*h - 7. Calculate q(v).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of sequence xjxx when four letters picked without replacement from {j: 12, x: 7}.\n' | b'35/1292\n' | b'Calculate prob of sequence xjxx when four letters picked without replacement from {j: 12, x: 7}.\n' | b'35/1292\n' | deepmind/math_dataset |
b'Simplify (((x*x*x**(9/7)/x)/x)/(x*(x/(x/((x/(x/(x/(x/(x*x**(16/5)))*x)))/x))*x)/x))/((x*x**(8/5)/x*x)/(x/(x/x**(9/8)))) assuming x is positive.\n' | b'x**(-1509/280)\n' | b'Simplify (((x*x*x**(9/7)/x)/x)/(x*(x/(x/((x/(x/(x/(x/(x*x**(16/5)))*x)))/x))*x)/x))/((x*x**(8/5)/x*x)/(x/(x/x**(9/8)))) assuming x is positive.\n' | b'x**(-1509/280)\n' | deepmind/math_dataset |
b'Let v = 29 - 25. Find the second derivative of 0*u - v*u + 2*u + u**2 wrt u.\n' | b'2\n' | b'Let v = 29 - 25. Find the second derivative of 0*u - v*u + 2*u + u**2 wrt u.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*r - 3*r - 7 = 0. Suppose -8 = -5*a + r. Let l(z) = 2 + 3*z + z**3 + 0*z**a + 4*z + 7*z**2 + 0*z. What is l(-6)?\n' | b'-4\n' | b'Suppose 4*r - 3*r - 7 = 0. Suppose -8 = -5*a + r. Let l(z) = 2 + 3*z + z**3 + 0*z**a + 4*z + 7*z**2 + 0*z. What is l(-6)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify y**5*y*y**(-16/5) assuming y is positive.\n' | b'y**(14/5)\n' | b'Simplify y**5*y*y**(-16/5) assuming y is positive.\n' | b'y**(14/5)\n' | deepmind/math_dataset |
b'Let y(w) = -3*w - 4. Let i(j) = 4*j + 3. Let b(x) = 5*i(x) + 6*y(x). Let q = -9377 - -9384. Determine b(q).\n' | b'5\n' | b'Let y(w) = -3*w - 4. Let i(j) = 4*j + 3. Let b(x) = 5*i(x) + 6*y(x). Let q = -9377 - -9384. Determine b(q).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((q*q**(1/33)*q)/(q**5/q)*((q*q/q**(-3/16))/q)/(q*q**(-6)*q*q*q))**(-9) assuming q is positive.\n' | b'q**(-1929/176)\n' | b'Simplify ((q*q**(1/33)*q)/(q**5/q)*((q*q/q**(-3/16))/q)/(q*q**(-6)*q*q*q))**(-9) assuming q is positive.\n' | b'q**(-1929/176)\n' | deepmind/math_dataset |
b'Simplify (o**(1/3)*o*o**3)**(-50)/(((o*o**1)/(o*o**(-5/2)))/((o*(o**(-5/4)/o)/o)/o*(o**(-1/4)*o)/o)) assuming o is positive.\n' | b'o**(-671/3)\n' | b'Simplify (o**(1/3)*o*o**3)**(-50)/(((o*o**1)/(o*o**(-5/2)))/((o*(o**(-5/4)/o)/o)/o*(o**(-1/4)*o)/o)) assuming o is positive.\n' | b'o**(-671/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 h, and 1 y when three letters picked without replacement from yqoxhooxhwoh.\n' | b'3/220\n' | b'Calculate prob of picking 1 q, 1 h, and 1 y when three letters picked without replacement from yqoxhooxhwoh.\n' | b'3/220\n' | deepmind/math_dataset |
b'Suppose -5*k + 5*q + 5 = 0, 0 = 3*k - 5*q - 1. Let a(h) = -h - 2 - 3 + k*h - 2. Let c(f) = -2*f - 9. Let g be c(-6). Give a(g).\n' | b'-4\n' | b'Suppose -5*k + 5*q + 5 = 0, 0 = 3*k - 5*q - 1. Let a(h) = -h - 2 - 3 + k*h - 2. Let c(f) = -2*f - 9. Let g be c(-6). Give a(g).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence ev when two letters picked without replacement from evee?\n' | b'1/4\n' | b'What is prob of sequence ev when two letters picked without replacement from evee?\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose -14 = -3*j - 2. What is the third derivative of -2*b**j + 5*b**4 + 3*b**2 - 4*b**2 wrt b?\n' | b'72*b\n' | b'Suppose -14 = -3*j - 2. What is the third derivative of -2*b**j + 5*b**4 + 3*b**2 - 4*b**2 wrt b?\n' | b'72*b\n' | deepmind/math_dataset |
b'Let r = -11 - -3. Let y(i) = -2*i - 14. Let l be y(r). Find the third derivative of -12*o**2 + 22*o**l + 6*o**3 + 2*o**3 wrt o.\n' | b'48\n' | b'Let r = -11 - -3. Let y(i) = -2*i - 14. Let l be y(r). Find the third derivative of -12*o**2 + 22*o**l + 6*o**3 + 2*o**3 wrt o.\n' | b'48\n' | deepmind/math_dataset |
b'Let u be 44/10 + 2/(-5). Let y be (-9)/((-54)/(-12))*-6. Suppose 15 = -3*v + 3*a, y*a = -2*v + 15*a - 15. Solve -3*l + u*t + 23 + 12 = v, 5*l - 15 = -2*t for l.\n' | b'5\n' | b'Let u be 44/10 + 2/(-5). Let y be (-9)/((-54)/(-12))*-6. Suppose 15 = -3*v + 3*a, y*a = -2*v + 15*a - 15. Solve -3*l + u*t + 23 + 12 = v, 5*l - 15 = -2*t for l.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(y) = -y**3 - 15*y**2 - 2. Let z be w(-15). Let b be (1*16/2)/z. Let n(v) = -v**2 - v - 4. Determine n(b).\n' | b'-16\n' | b'Let w(y) = -y**3 - 15*y**2 - 2. Let z be w(-15). Let b be (1*16/2)/z. Let n(v) = -v**2 - v - 4. Determine n(b).\n' | b'-16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from godddoogdo. What is prob of picking 1 d and 2 g?\n' | b'1/30\n' | b'Three letters picked without replacement from godddoogdo. What is prob of picking 1 d and 2 g?\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 10*c = -0 + 20. Solve 0 = -2*v + 3*v + 5, c*g + 16 = -4*v for g.\n' | b'2\n' | b'Suppose 10*c = -0 + 20. Solve 0 = -2*v + 3*v + 5, c*g + 16 = -4*v for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let b = 58 - -5. Let p = -72 + b. Let c(i) = -i**2 - 10*i - 2. Determine c(p).\n' | b'7\n' | b'Let b = 58 - -5. Let p = -72 + b. Let c(i) = -i**2 - 10*i - 2. Determine c(p).\n' | b'7\n' | deepmind/math_dataset |
b'Let c(s) be the second derivative of -1027*s**3/6 + 321*s**2 + 404*s. What is the first derivative of c(z) wrt z?\n' | b'-1027\n' | b'Let c(s) be the second derivative of -1027*s**3/6 + 321*s**2 + 404*s. What is the first derivative of c(z) wrt z?\n' | b'-1027\n' | deepmind/math_dataset |
b'Let c(j) be the second derivative of 0*j**3 - 1/60*j**5 + 0*j**2 + 7/4*j**4 - 2*j + 0 + 1/120*j**6. Let b(z) be the third derivative of c(z). Determine b(-2).\n' | b'-14\n' | b'Let c(j) be the second derivative of 0*j**3 - 1/60*j**5 + 0*j**2 + 7/4*j**4 - 2*j + 0 + 1/120*j**6. Let b(z) be the third derivative of c(z). Determine b(-2).\n' | b'-14\n' | deepmind/math_dataset |
b'Let z(y) = -y**2 - 6*y + 6. Suppose 3*p - 18 = 3*a, 0*p - 4*p = -3*a - 22. Suppose 8 = p*k - 24. Let s be k/3*(-9)/4. Calculate z(s).\n' | b'6\n' | b'Let z(y) = -y**2 - 6*y + 6. Suppose 3*p - 18 = 3*a, 0*p - 4*p = -3*a - 22. Suppose 8 = p*k - 24. Let s be k/3*(-9)/4. Calculate z(s).\n' | b'6\n' | deepmind/math_dataset |
b'Let t(r) = r**3 + 18*r**2 + 19*r + 21. Let z be t(-17). Let y(g) = g**2 + 11*g - 24. Determine y(z).\n' | b'2\n' | b'Let t(r) = r**3 + 18*r**2 + 19*r + 21. Let z be t(-17). Let y(g) = g**2 + 11*g - 24. Determine y(z).\n' | b'2\n' | deepmind/math_dataset |
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