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 b(o) = 2218*o + 4896. Let u(y) = -164*y. Let m(f) = 2*b(f) + 4*u(f). Differentiate m(g) with respect to g.\n' | b'3780\n' | b'Let b(o) = 2218*o + 4896. Let u(y) = -164*y. Let m(f) = 2*b(f) + 4*u(f). Differentiate m(g) with respect to g.\n' | b'3780\n' | deepmind/math_dataset |
b'Let s(j) = j**2 - 5*j - 6. Let t = -20 + 30. Suppose p - 4*v - t = -0*p, -3*p - 4*v + 14 = 0. What is s(p)?\n' | b'0\n' | b'Let s(j) = j**2 - 5*j - 6. Let t = -20 + 30. Suppose p - 4*v - t = -0*p, -3*p - 4*v + 14 = 0. What is s(p)?\n' | b'0\n' | deepmind/math_dataset |
b'Let d(h) = 4*h - 23. Let a = -10 + 20. Let x be d(a). Solve 2*q + 2 = -i, 3*i = 3*q + 8*i + x for q.\n' | b'1\n' | b'Let d(h) = 4*h - 23. Let a = -10 + 20. Let x be d(a). Solve 2*q + 2 = -i, 3*i = 3*q + 8*i + x for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let z be ((-70)/15 - -5)*15. Let r = 2 + 4. Suppose 2*d - r*d + 8 = 0. Solve -z = 4*t - d*i - 1, 3*t = 3*i for t.\n' | b'-2\n' | b'Let z be ((-70)/15 - -5)*15. Let r = 2 + 4. Suppose 2*d - r*d + 8 = 0. Solve -z = 4*t - d*i - 1, 3*t = 3*i for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify q**39*q**39 assuming q is positive.\n' | b'q**78\n' | b'Simplify q**39*q**39 assuming q is positive.\n' | b'q**78\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 f, and 2 r when four letters picked without replacement from {r: 3, k: 4, m: 3, n: 7, f: 1}?\n' | b'1/340\n' | b'What is prob of picking 1 m, 1 f, and 2 r when four letters picked without replacement from {r: 3, k: 4, m: 3, n: 7, f: 1}?\n' | b'1/340\n' | deepmind/math_dataset |
b'Let i(y) = y**3 + y + 5. Let n be i(0). Solve -n*t + 0 = 4*h - 33, 0 = 2*h - 2*t + 6 for h.\n' | b'2\n' | b'Let i(y) = y**3 + y + 5. Let n be i(0). Solve -n*t + 0 = 4*h - 33, 0 = 2*h - 2*t + 6 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (z/(z/(z*(z**(-3/8)/z)/z*z*z))*z*z**(2/7)*z*z*z)/(((z**(-1)/z)/z)/z)**1*(z/(z/z**(2/5)))/(z*z*z**(-2/17))*z**5*z**(-1/5) assuming z is positive.\n' | b'z**(58207/4760)\n' | b'Simplify (z/(z/(z*(z**(-3/8)/z)/z*z*z))*z*z**(2/7)*z*z*z)/(((z**(-1)/z)/z)/z)**1*(z/(z/z**(2/5)))/(z*z*z**(-2/17))*z**5*z**(-1/5) assuming z is positive.\n' | b'z**(58207/4760)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 2, v: 1, s: 2, o: 1, w: 1, p: 1}. Give prob of sequence pspo.\n' | b'0\n' | b'Four letters picked without replacement from {e: 2, v: 1, s: 2, o: 1, w: 1, p: 1}. Give prob of sequence pspo.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(t) = 22*t + 2. Let n = -470 - -468. Give g(n).\n' | b'-42\n' | b'Let g(t) = 22*t + 2. Let n = -470 - -468. Give g(n).\n' | b'-42\n' | deepmind/math_dataset |
b'Let s be (-1*2)/(-3*9/27). Suppose 0 = -3*y + s*p + 32, 3*y - 11 - 25 = 3*p. Solve 2*f + 3*b - 2 = 2, -4*f - b + y = 0 for f.\n' | b'2\n' | b'Let s be (-1*2)/(-3*9/27). Suppose 0 = -3*y + s*p + 32, 3*y - 11 - 25 = 3*p. Solve 2*f + 3*b - 2 = 2, -4*f - b + y = 0 for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let p = 365 - 357. Suppose -p = -t + 2*w, -4 = -2*t - w + 2. Solve -i + v = -2*i + 3, 0 = -t*i + 5*v - 15 for i.\n' | b'0\n' | b'Let p = 365 - 357. Suppose -p = -t + 2*w, -4 = -2*t - w + 2. Solve -i + v = -2*i + 3, 0 = -t*i + 5*v - 15 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (q*(q**(2/9)*q)/q*q**(-2))/(q**(-13)*q*q/(q*q/(q/((q/q**(-9/7))/q)))) assuming q is positive.\n' | b'q**(788/63)\n' | b'Simplify (q*(q**(2/9)*q)/q*q**(-2))/(q**(-13)*q*q/(q*q/(q/((q/q**(-9/7))/q)))) assuming q is positive.\n' | b'q**(788/63)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkkrrkkkkrkkkkkrkk. Give prob of sequence rkkr.\n' | b'35/1292\n' | b'Four letters picked without replacement from kkkkrrkkkkrkkkkkrkk. Give prob of sequence rkkr.\n' | b'35/1292\n' | deepmind/math_dataset |
b'Let o(w) = -w**3 + w + 1. Let z(y) = -1 + 2*y**2 + 2 - 3*y**2. Let r be (12/(-30))/(4/(-10)). Let n be z(r). Give o(n).\n' | b'1\n' | b'Let o(w) = -w**3 + w + 1. Let z(y) = -1 + 2*y**2 + 2 - 3*y**2. Let r be (12/(-30))/(4/(-10)). Let n be z(r). Give o(n).\n' | b'1\n' | deepmind/math_dataset |
b'Let h(c) = c**3 - c**2 + 1. Let v(g) = -2*g**3 + 4*g**2 - 13. Let n(w) = -4*h(w) - v(w). Find the first derivative of n(f) wrt f.\n' | b'-6*f**2\n' | b'Let h(c) = c**3 - c**2 + 1. Let v(g) = -2*g**3 + 4*g**2 - 13. Let n(w) = -4*h(w) - v(w). Find the first derivative of n(f) wrt f.\n' | b'-6*f**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fghbmeg. What is prob of sequence bfg?\n' | b'1/105\n' | b'Three letters picked without replacement from fghbmeg. What is prob of sequence bfg?\n' | b'1/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from viwpirrvwowioiiwirow. What is prob of sequence owor?\n' | b'1/1292\n' | b'Four letters picked without replacement from viwpirrvwowioiiwirow. What is prob of sequence owor?\n' | b'1/1292\n' | deepmind/math_dataset |
b'Two letters picked without replacement from clhhlhhhchh. Give prob of picking 2 l.\n' | b'1/55\n' | b'Two letters picked without replacement from clhhlhhhchh. Give prob of picking 2 l.\n' | b'1/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence lgs when three letters picked without replacement from lalaoshlohgg.\n' | b'1/220\n' | b'Calculate prob of sequence lgs when three letters picked without replacement from lalaoshlohgg.\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose -5*d + 25 = 5*j, 3*d + j - 14 + 3 = 0. Differentiate -2*k**2 + k**2 - d*k**2 + 8*k**2 - 3 with respect to k.\n' | b'8*k\n' | b'Suppose -5*d + 25 = 5*j, 3*d + j - 14 + 3 = 0. Differentiate -2*k**2 + k**2 - d*k**2 + 8*k**2 - 3 with respect to k.\n' | b'8*k\n' | deepmind/math_dataset |
b'Let l be -1*-4*(-15)/(-20). Solve 2*w - l*x - 9 = 0, -4*w - 3*x - 3 + 12 = 0 for w.\n' | b'3\n' | b'Let l be -1*-4*(-15)/(-20). Solve 2*w - l*x - 9 = 0, -4*w - 3*x - 3 + 12 = 0 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence eq when two letters picked without replacement from uteqeetueuetetn.\n' | b'1/35\n' | b'Calculate prob of sequence eq when two letters picked without replacement from uteqeetueuetetn.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, n: 1, o: 3, g: 4, s: 8}. What is prob of sequence gn?\n' | b'1/68\n' | b'Two letters picked without replacement from {f: 1, n: 1, o: 3, g: 4, s: 8}. What is prob of sequence gn?\n' | b'1/68\n' | deepmind/math_dataset |
b'Simplify ((u**(2/5)/u)/u*u**(1/4))**(-10) assuming u is positive.\n' | b'u**(27/2)\n' | b'Simplify ((u**(2/5)/u)/u*u**(1/4))**(-10) assuming u is positive.\n' | b'u**(27/2)\n' | deepmind/math_dataset |
b'Let n(f) = -9*f**3 + 13*f**2 + 12. Let p(s) = 4*s**3 - 6*s**2 - 6. Let b(g) = -6*n(g) - 13*p(g). Differentiate b(r) with respect to r.\n' | b'6*r**2\n' | b'Let n(f) = -9*f**3 + 13*f**2 + 12. Let p(s) = 4*s**3 - 6*s**2 - 6. Let b(g) = -6*n(g) - 13*p(g). Differentiate b(r) with respect to r.\n' | b'6*r**2\n' | deepmind/math_dataset |
b'Let u(t) be the first derivative of -t**5/60 + t**4/6 + t**3/3 - 7*t**2/2 - 4. Let l(x) be the second derivative of u(x). Give l(3).\n' | b'5\n' | b'Let u(t) be the first derivative of -t**5/60 + t**4/6 + t**3/3 - 7*t**2/2 - 4. Let l(x) be the second derivative of u(x). Give l(3).\n' | b'5\n' | deepmind/math_dataset |
b'Let y(q) = -2*q**3 + 447 - 902 + 0*q**3 + 442 - 4*q - 8*q**2. Determine y(-4).\n' | b'3\n' | b'Let y(q) = -2*q**3 + 447 - 902 + 0*q**3 + 442 - 4*q - 8*q**2. Determine y(-4).\n' | b'3\n' | deepmind/math_dataset |
b'Let f(d) = -d**4 + d**3 + d**2 + 2*d. Let j(p) = 3*p**4 - 4*p**3 - 4*p**2 - 8*p + 440. Let a(w) = 4*f(w) + j(w). Differentiate a(x) with respect to x.\n' | b'-4*x**3\n' | b'Let f(d) = -d**4 + d**3 + d**2 + 2*d. Let j(p) = 3*p**4 - 4*p**3 - 4*p**2 - 8*p + 440. Let a(w) = 4*f(w) + j(w). Differentiate a(x) with respect to x.\n' | b'-4*x**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence bqbb when four letters picked without replacement from {k: 5, q: 1, b: 5}.\n' | b'1/132\n' | b'Calculate prob of sequence bqbb when four letters picked without replacement from {k: 5, q: 1, b: 5}.\n' | b'1/132\n' | deepmind/math_dataset |
b'Calculate prob of sequence ar when two letters picked without replacement from {c: 1, b: 3, y: 2, e: 1, a: 1, r: 5}.\n' | b'5/156\n' | b'Calculate prob of sequence ar when two letters picked without replacement from {c: 1, b: 3, y: 2, e: 1, a: 1, r: 5}.\n' | b'5/156\n' | deepmind/math_dataset |
b'Suppose 5 = 4*c - 3. Let z be 2/14*c - 48/(-28). Solve 0 = b + 3*a + 9, 3*b = z*b - a - 3 for b.\n' | b'0\n' | b'Suppose 5 = 4*c - 3. Let z be 2/14*c - 48/(-28). Solve 0 = b + 3*a + 9, 3*b = z*b - a - 3 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 9, n: 11}. What is prob of sequence in?\n' | b'99/380\n' | b'Two letters picked without replacement from {i: 9, n: 11}. What is prob of sequence in?\n' | b'99/380\n' | deepmind/math_dataset |
b'Simplify p**(-2/3)*p**(-8) assuming p is positive.\n' | b'p**(-26/3)\n' | b'Simplify p**(-2/3)*p**(-8) assuming p is positive.\n' | b'p**(-26/3)\n' | deepmind/math_dataset |
b'Simplify (l*(((l/((l**(1/43)*l)/l))/l)/l)/l*l*l*l*l**(-33))/(l**(1/43)/l*(l/(l**(-24)/l))/l) assuming l is positive.\n' | b'l**(-2367/43)\n' | b'Simplify (l*(((l/((l**(1/43)*l)/l))/l)/l)/l*l*l*l*l**(-33))/(l**(1/43)/l*(l/(l**(-24)/l))/l) assuming l is positive.\n' | b'l**(-2367/43)\n' | deepmind/math_dataset |
b'Simplify (v*v*v**(-2/15)/v*v*v*v**(-5/13)/v*v**(-28)/(v*v*v/v**(3/5)*v*v*v))**(27/5) assuming v is positive.\n' | b'v**(-56016/325)\n' | b'Simplify (v*v*v**(-2/15)/v*v*v*v**(-5/13)/v*v**(-28)/(v*v*v/v**(3/5)*v*v*v))**(27/5) assuming v is positive.\n' | b'v**(-56016/325)\n' | deepmind/math_dataset |
b'Suppose v - 4*x - 77 = 0, -2*v + 5*x - 5 + 156 = 0. Let b = 76 - v. Solve 3*n + j = -b, 2*n - 3*j + 1 + 1 = 0 for n.\n' | b'-1\n' | b'Suppose v - 4*x - 77 = 0, -2*v + 5*x - 5 + 156 = 0. Let b = 76 - v. Solve 3*n + j = -b, 2*n - 3*j + 1 + 1 = 0 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let h(u) = -4*u - 4. Let s be h(-2). Solve 0 = 5*r - 3*c + 11, -s*r - 3 = c - 1 for r.\n' | b'-1\n' | b'Let h(u) = -4*u - 4. Let s be h(-2). Solve 0 = 5*r - 3*c + 11, -s*r - 3 = c - 1 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from sefofsffossss.\n' | b'5/26\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from sefofsffossss.\n' | b'5/26\n' | deepmind/math_dataset |
b'Simplify g**(-21)*g*(g/(g/g**(14/3)))/g assuming g is positive.\n' | b'g**(-49/3)\n' | b'Simplify g**(-21)*g*(g/(g/g**(14/3)))/g assuming g is positive.\n' | b'g**(-49/3)\n' | deepmind/math_dataset |
b'Let f(z) be the third derivative of -z**7/14 - 7*z**5/15 - 24*z**2. Find the third derivative of f(y) wrt y.\n' | b'-360*y\n' | b'Let f(z) be the third derivative of -z**7/14 - 7*z**5/15 - 24*z**2. Find the third derivative of f(y) wrt y.\n' | b'-360*y\n' | deepmind/math_dataset |
b'Suppose 0 = 4*j - 5*p - 21, -4*j - 2 = p - 17. Solve -j*o + 3 = -2*s + 3*s, 4*o - 3*s = 7 for o.\n' | b'1\n' | b'Suppose 0 = 4*j - 5*p - 21, -4*j - 2 = p - 17. Solve -j*o + 3 = -2*s + 3*s, 4*o - 3*s = 7 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 115*t = 65*t + 100. Solve t*a - 5*k + 13 = 0, -6*a + 3*k = -11*a - 17 for a.\n' | b'-4\n' | b'Suppose 115*t = 65*t + 100. Solve t*a - 5*k + 13 = 0, -6*a + 3*k = -11*a - 17 for a.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence yd when two letters picked without replacement from jjdypjpyepeepyyjpdd?\n' | b'2/57\n' | b'What is prob of sequence yd when two letters picked without replacement from jjdypjpyepeepyyjpdd?\n' | b'2/57\n' | deepmind/math_dataset |
b'Simplify (b/(b*(b**(-3/7)*b)/b)*b*b/b**(1/10)*(b**(2/3))**(-3/11))/((b**(2/3))**(-1/12)*(b**(-1/4))**(1/32)) assuming b is positive.\n' | b'b**(980233/443520)\n' | b'Simplify (b/(b*(b**(-3/7)*b)/b)*b*b/b**(1/10)*(b**(2/3))**(-3/11))/((b**(2/3))**(-1/12)*(b**(-1/4))**(1/32)) assuming b is positive.\n' | b'b**(980233/443520)\n' | deepmind/math_dataset |
b'Let b = 1 + 0. Differentiate -b + 3*l**2 - l**2 + 0 + 3*l**2 with respect to l.\n' | b'10*l\n' | b'Let b = 1 + 0. Differentiate -b + 3*l**2 - l**2 + 0 + 3*l**2 with respect to l.\n' | b'10*l\n' | deepmind/math_dataset |
b'Let p be ((-112)/(-6))/(5/15). Suppose -24 = u - p. Solve -2*g - r + 2*r + 12 = 0, 4*g - u = 4*r for g.\n' | b'4\n' | b'Let p be ((-112)/(-6))/(5/15). Suppose -24 = u - p. Solve -2*g - r + 2*r + 12 = 0, 4*g - u = 4*r for g.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence mm when two letters picked without replacement from {m: 3, y: 4}?\n' | b'1/7\n' | b'What is prob of sequence mm when two letters picked without replacement from {m: 3, y: 4}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let r(y) be the third derivative of 5*y**8/336 - 43*y**5/60 + 5*y**2. Find the third derivative of r(p) wrt p.\n' | b'300*p**2\n' | b'Let r(y) be the third derivative of 5*y**8/336 - 43*y**5/60 + 5*y**2. Find the third derivative of r(p) wrt p.\n' | b'300*p**2\n' | deepmind/math_dataset |
b'Let t(c) = 5*c**2 + c + 1. Let p be t(-1). Suppose 0 = -p*f - z + 3, 2*f - 3*z = -0*z + 8. Solve k - 5*s - 20 = 0, 4*s = f - 13 for k.\n' | b'5\n' | b'Let t(c) = 5*c**2 + c + 1. Let p be t(-1). Suppose 0 = -p*f - z + 3, 2*f - 3*z = -0*z + 8. Solve k - 5*s - 20 = 0, 4*s = f - 13 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yqubqwz. What is prob of sequence wzu?\n' | b'1/210\n' | b'Three letters picked without replacement from yqubqwz. What is prob of sequence wzu?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify (w**(-10)/w)/(w*w*w/w**(11/5)) assuming w is positive.\n' | b'w**(-59/5)\n' | b'Simplify (w**(-10)/w)/(w*w*w/w**(11/5)) assuming w is positive.\n' | b'w**(-59/5)\n' | deepmind/math_dataset |
b'What is prob of sequence lwwi when four letters picked without replacement from wiiwwiiwilil?\n' | b'2/165\n' | b'What is prob of sequence lwwi when four letters picked without replacement from wiiwwiiwilil?\n' | b'2/165\n' | deepmind/math_dataset |
b'Simplify (n*n/(n*n**(-2/9)))**(-26) assuming n is positive.\n' | b'n**(-286/9)\n' | b'Simplify (n*n/(n*n**(-2/9)))**(-26) assuming n is positive.\n' | b'n**(-286/9)\n' | deepmind/math_dataset |
b'Simplify (q*(q*q**2*q)/q)**(1/16)*q**(-6/7)/q*q**0 assuming q is positive.\n' | b'q**(-45/28)\n' | b'Simplify (q*(q*q**2*q)/q)**(1/16)*q**(-6/7)/q*q**0 assuming q is positive.\n' | b'q**(-45/28)\n' | deepmind/math_dataset |
b'Simplify (l*l**(-1)*l*l)/(l**(-1/6)/l)*l**(-1/13)*l/l**(-10) assuming l is positive.\n' | b'l**(1099/78)\n' | b'Simplify (l*l**(-1)*l*l)/(l**(-1/6)/l)*l**(-1/13)*l/l**(-10) assuming l is positive.\n' | b'l**(1099/78)\n' | deepmind/math_dataset |
b'Let y(i) be the first derivative of -5*i**6/6 + 12*i**2 - 25. Find the second derivative of y(p) wrt p.\n' | b'-100*p**3\n' | b'Let y(i) be the first derivative of -5*i**6/6 + 12*i**2 - 25. Find the second derivative of y(p) wrt p.\n' | b'-100*p**3\n' | deepmind/math_dataset |
b'Simplify i/i**10*i*i**(-13)/i assuming i is positive.\n' | b'i**(-22)\n' | b'Simplify i/i**10*i*i**(-13)/i assuming i is positive.\n' | b'i**(-22)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cuudvddklkdcuudud. What is prob of picking 1 v and 1 l?\n' | b'1/136\n' | b'Two letters picked without replacement from cuudvddklkdcuudud. What is prob of picking 1 v and 1 l?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let i = -3 + 9. Let j = i - 3. Suppose 0 = -j*v + 4*g + 43, 2*g - 5 = -v + 6. Solve -3*d + 6 = 0, -4*d = 2*h - 3*h - v for h.\n' | b'-5\n' | b'Let i = -3 + 9. Let j = i - 3. Suppose 0 = -j*v + 4*g + 43, 2*g - 5 = -v + 6. Solve -3*d + 6 = 0, -4*d = 2*h - 3*h - v for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Find the first derivative of -1 + 7 - 4*c**2 - 2 wrt c.\n' | b'-8*c\n' | b'Find the first derivative of -1 + 7 - 4*c**2 - 2 wrt c.\n' | b'-8*c\n' | deepmind/math_dataset |
b'Suppose 0 = -4*p, -2*p = -w - p + 20. Suppose -w = -3*h - 2*h. Suppose 11 = z - 0*z. Solve -z = 2*k - 4*m + 5, h*m = 12 for k.\n' | b'-2\n' | b'Suppose 0 = -4*p, -2*p = -w - p + 20. Suppose -w = -3*h - 2*h. Suppose 11 = z - 0*z. Solve -z = 2*k - 4*m + 5, h*m = 12 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v = 236 + -211. What is the second derivative of -v*x + 78*x**3 - 29*x + 26*x**3 - 24*x**3 wrt x?\n' | b'480*x\n' | b'Let v = 236 + -211. What is the second derivative of -v*x + 78*x**3 - 29*x + 26*x**3 - 24*x**3 wrt x?\n' | b'480*x\n' | deepmind/math_dataset |
b'Let b(v) = 18*v**5 + 4*v**2. Let c(h) = -53*h**5 - 12*h**2. Let s(k) = 8*b(k) + 3*c(k). Find the third derivative of s(a) wrt a.\n' | b'-900*a**2\n' | b'Let b(v) = 18*v**5 + 4*v**2. Let c(h) = -53*h**5 - 12*h**2. Let s(k) = 8*b(k) + 3*c(k). Find the third derivative of s(a) wrt a.\n' | b'-900*a**2\n' | deepmind/math_dataset |
b'Simplify (k/(k*k*(k**(-2)/k)/k))**(-29)/(k**(-3/7)/(k/(k*k*k*k**(-2/15))*k)) assuming k is positive.\n' | b'k**(-9181/105)\n' | b'Simplify (k/(k*k*(k**(-2)/k)/k))**(-29)/(k**(-3/7)/(k/(k*k*k*k**(-2/15))*k)) assuming k is positive.\n' | b'k**(-9181/105)\n' | deepmind/math_dataset |
b'Suppose -i + 16 = 5*n - 4*i, 5*n - 19 = 2*i. Suppose 2 = -4*d + 38. Let o(p) = p - 4*p + d + 2*p. Give o(n).\n' | b'4\n' | b'Suppose -i + 16 = 5*n - 4*i, 5*n - 19 = 2*i. Suppose 2 = -4*d + 38. Let o(p) = p - 4*p + d + 2*p. Give o(n).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -4*k + 3 = -3*k. What is the third derivative of 0*x**6 - k*x**2 + 2*x**2 - x**6 + 3*x**2 wrt x?\n' | b'-120*x**3\n' | b'Suppose -4*k + 3 = -3*k. What is the third derivative of 0*x**6 - k*x**2 + 2*x**2 - x**6 + 3*x**2 wrt x?\n' | b'-120*x**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tmzmbmb. Give prob of sequence bt.\n' | b'1/21\n' | b'Two letters picked without replacement from tmzmbmb. Give prob of sequence bt.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let q(g) = 22*g + 1. Let f(w) = -w**3 + 205*w**2 - 803*w - 4. Let a be f(4). Determine q(a).\n' | b'1\n' | b'Let q(g) = 22*g + 1. Let f(w) = -w**3 + 205*w**2 - 803*w - 4. Let a be f(4). Determine q(a).\n' | b'1\n' | deepmind/math_dataset |
b'Let z = 5 + -1. Let p(u) = -u**3 + 8*u**2 + 10*u + 1. Let h be p(9). Let t(k) = 4 - 1 - h*k + 5*k + 6*k. Calculate t(z).\n' | b'7\n' | b'Let z = 5 + -1. Let p(u) = -u**3 + 8*u**2 + 10*u + 1. Let h be p(9). Let t(k) = 4 - 1 - h*k + 5*k + 6*k. Calculate t(z).\n' | b'7\n' | deepmind/math_dataset |
b'Let l(w) = w**3 + 9*w**2 + 6*w + 2. Let g = 2612 + -2621. Give l(g).\n' | b'-52\n' | b'Let l(w) = w**3 + 9*w**2 + 6*w + 2. Let g = 2612 + -2621. Give l(g).\n' | b'-52\n' | deepmind/math_dataset |
b'What is prob of sequence qrtr when four letters picked without replacement from {z: 1, t: 2, s: 3, r: 6, q: 1}?\n' | b'1/286\n' | b'What is prob of sequence qrtr when four letters picked without replacement from {z: 1, t: 2, s: 3, r: 6, q: 1}?\n' | b'1/286\n' | deepmind/math_dataset |
b'What is prob of sequence nok when three letters picked without replacement from nonwokwnnoo?\n' | b'8/495\n' | b'What is prob of sequence nok when three letters picked without replacement from nonwokwnnoo?\n' | b'8/495\n' | deepmind/math_dataset |
b'Let t = 2 + -5. Let i = 6 - 4. Let m(u) = -2*u - 4*u + 4*u + 3*u + i. What is m(t)?\n' | b'-1\n' | b'Let t = 2 + -5. Let i = 6 - 4. Let m(u) = -2*u - 4*u + 4*u + 3*u + i. What is m(t)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let p = 11007 + -4403. Suppose 2*y = 4*x - 7450 - p, x - 3512 = -y. Find the third derivative of -x - s**2 + 3513 + 19*s**3 wrt s.\n' | b'114\n' | b'Let p = 11007 + -4403. Suppose 2*y = 4*x - 7450 - p, x - 3512 = -y. Find the third derivative of -x - s**2 + 3513 + 19*s**3 wrt s.\n' | b'114\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 5, e: 2, f: 1, g: 1}. What is prob of sequence bfg?\n' | b'5/504\n' | b'Three letters picked without replacement from {b: 5, e: 2, f: 1, g: 1}. What is prob of sequence bfg?\n' | b'5/504\n' | deepmind/math_dataset |
b'Let t(a) = -a**3 + a**2 + a. Let k be t(-1). Let q be k - -1*(0 + 2). Solve 5*g - 13 = 3*j, -q*g + 4 = -3*j - 5 for g.\n' | b'2\n' | b'Let t(a) = -a**3 + a**2 + a. Let k be t(-1). Let q be k - -1*(0 + 2). Solve 5*g - 13 = 3*j, -q*g + 4 = -3*j - 5 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let m(j) = -6 + 1 - 5*j - 1595*j**2 - 4*j + 1594*j**2. Calculate m(-5).\n' | b'15\n' | b'Let m(j) = -6 + 1 - 5*j - 1595*j**2 - 4*j + 1594*j**2. Calculate m(-5).\n' | b'15\n' | deepmind/math_dataset |
b'Suppose 2*x = -x + 9. Let b(p) = p + p - 6*p**2 + p**x + 14*p**2 - 2 - 12*p**2. What is b(4)?\n' | b'6\n' | b'Suppose 2*x = -x + 9. Let b(p) = p + p - 6*p**2 + p**x + 14*p**2 - 2 - 12*p**2. What is b(4)?\n' | b'6\n' | deepmind/math_dataset |
b'Let i(n) = -n**3 - 6*n**2 + 4*n + 4. Let l(c) = -2*c**3 - 17*c**2 + 11*c + 11. Let x(b) = -8*i(b) + 3*l(b). Let j be 3 + -6 + 15/3. Give x(j).\n' | b'7\n' | b'Let i(n) = -n**3 - 6*n**2 + 4*n + 4. Let l(c) = -2*c**3 - 17*c**2 + 11*c + 11. Let x(b) = -8*i(b) + 3*l(b). Let j be 3 + -6 + 15/3. Give x(j).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 7, y: 1}. What is prob of picking 3 g and 1 y?\n' | b'1/2\n' | b'Four letters picked without replacement from {g: 7, y: 1}. What is prob of picking 3 g and 1 y?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let b(s) be the first derivative of 0*s**2 - 2*s - 14 - 25/3*s**3. Differentiate b(k) wrt k.\n' | b'-50*k\n' | b'Let b(s) be the first derivative of 0*s**2 - 2*s - 14 - 25/3*s**3. Differentiate b(k) wrt k.\n' | b'-50*k\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pqqqqqvbqqqqb. What is prob of picking 1 b and 1 p?\n' | b'1/39\n' | b'Two letters picked without replacement from pqqqqqvbqqqqb. What is prob of picking 1 b and 1 p?\n' | b'1/39\n' | deepmind/math_dataset |
b'Simplify ((i/(((((i*i**(-2))/i)/i)/i)/i))/i)**(-44)*(i**(-2/7))**(6/5) assuming i is positive.\n' | b'i**(-7712/35)\n' | b'Simplify ((i/(((((i*i**(-2))/i)/i)/i)/i))/i)**(-44)*(i**(-2/7))**(6/5) assuming i is positive.\n' | b'i**(-7712/35)\n' | deepmind/math_dataset |
b'Simplify ((x*x**(-1/3))**21/(x/x**(-1)*(x/x**(-5/4)*x)/x))**(-6/19) assuming x is positive.\n' | b'x**(-117/38)\n' | b'Simplify ((x*x**(-1/3))**21/(x/x**(-1)*(x/x**(-5/4)*x)/x))**(-6/19) assuming x is positive.\n' | b'x**(-117/38)\n' | deepmind/math_dataset |
b'Simplify (s**(-1/10)/(s/s**(3/4)))/(s*s**(1/4)*s)**(-7) assuming s is positive.\n' | b's**(77/5)\n' | b'Simplify (s**(-1/10)/(s/s**(3/4)))/(s*s**(1/4)*s)**(-7) assuming s is positive.\n' | b's**(77/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, i: 1, y: 4, u: 2, m: 1}. What is prob of picking 1 i, 1 m, and 2 y?\n' | b'1/21\n' | b'Four letters picked without replacement from {g: 1, i: 1, y: 4, u: 2, m: 1}. What is prob of picking 1 i, 1 m, and 2 y?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((b**(-4/7)/b)/b**(-1/10))**(-31/3)/((b*b/(b*b**(3/10)/b))/(b*(((b/b**(-4/5))/b)/b)/b))**(-44) assuming b is positive.\n' | b'b**(20749/210)\n' | b'Simplify ((b**(-4/7)/b)/b**(-1/10))**(-31/3)/((b*b/(b*b**(3/10)/b))/(b*(((b/b**(-4/5))/b)/b)/b))**(-44) assuming b is positive.\n' | b'b**(20749/210)\n' | deepmind/math_dataset |
b'Let x(b) = 3*b - 7. Let d be x(3). What is the third derivative of -3*l**3 + 0*l**3 + 29*l**d + l**3 wrt l?\n' | b'-12\n' | b'Let x(b) = 3*b - 7. Let d be x(3). What is the third derivative of -3*l**3 + 0*l**3 + 29*l**d + l**3 wrt l?\n' | b'-12\n' | deepmind/math_dataset |
b'Differentiate 27*t + 10*t - 21 - 12*t + 5 with respect to t.\n' | b'25\n' | b'Differentiate 27*t + 10*t - 21 - 12*t + 5 with respect to t.\n' | b'25\n' | deepmind/math_dataset |
b'Let s = -5 - -8. What is the third derivative of -a**2 + 0*a**3 + 2*a**3 + 4*a**s - 3*a**3 wrt a?\n' | b'18\n' | b'Let s = -5 - -8. What is the third derivative of -a**2 + 0*a**3 + 2*a**3 + 4*a**s - 3*a**3 wrt a?\n' | b'18\n' | deepmind/math_dataset |
b'Simplify (j*j**0)/((j/(j**(-2/9)*j))/j*j)*j/j**(-1/6)*j/j**(-2/9)*(j*j**(-2/3)/j*j*j*j*j**(-1/4))/((j**3*j)/(j/j**(3/2))) assuming j is positive.\n' | b'j**(3/4)\n' | b'Simplify (j*j**0)/((j/(j**(-2/9)*j))/j*j)*j/j**(-1/6)*j/j**(-2/9)*(j*j**(-2/3)/j*j*j*j*j**(-1/4))/((j**3*j)/(j/j**(3/2))) assuming j is positive.\n' | b'j**(3/4)\n' | deepmind/math_dataset |
b'Simplify (d*d*d**(-7/4)/d*d*(d*d**(-2/17))/d*d*d)**(1/23)/(((d*d**(-6))/(d**(1/7)*d*d))/(((d**0/d*d*d)/d*d)/d)**(-2/55)) assuming d is positive.\n' | b'd**(79215/10948)\n' | b'Simplify (d*d*d**(-7/4)/d*d*(d*d**(-2/17))/d*d*d)**(1/23)/(((d*d**(-6))/(d**(1/7)*d*d))/(((d**0/d*d*d)/d*d)/d)**(-2/55)) assuming d is positive.\n' | b'd**(79215/10948)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zkffafkjkfazajkak. What is prob of sequence za?\n' | b'1/34\n' | b'Two letters picked without replacement from zkffafkjkfazajkak. What is prob of sequence za?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let x = 43/4 + -21/2. Let s(p) be the second derivative of 0*p**5 + 4*p + 0 - x*p**4 + 0*p**2 + 1/5*p**6 + 0*p**3. Find the third derivative of s(c) wrt c.\n' | b'144*c\n' | b'Let x = 43/4 + -21/2. Let s(p) be the second derivative of 0*p**5 + 4*p + 0 - x*p**4 + 0*p**2 + 1/5*p**6 + 0*p**3. Find the third derivative of s(c) wrt c.\n' | b'144*c\n' | deepmind/math_dataset |
b'Simplify (z**(2/17)*z**(-4))/(z/((z*z**(-1/3)*z*z)/z)*(z*z**(2/29))/z*z) assuming z is positive.\n' | b'z**(-6337/1479)\n' | b'Simplify (z**(2/17)*z**(-4))/(z/((z*z**(-1/3)*z*z)/z)*(z*z**(2/29))/z*z) assuming z is positive.\n' | b'z**(-6337/1479)\n' | deepmind/math_dataset |
b'Let h be (-2)/6 - 2/(-6). Let w be 5 + (h/(-1))/1. Let m(p) be the second derivative of -p**3/6 + 7*p**2/2 + 5*p. Calculate m(w).\n' | b'2\n' | b'Let h be (-2)/6 - 2/(-6). Let w be 5 + (h/(-1))/1. Let m(p) be the second derivative of -p**3/6 + 7*p**2/2 + 5*p. Calculate m(w).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0*r - 28 = -14*r. Find the third derivative of 3*o**4 - 275*o**5 + 279*o**5 - 30*o**r - 17*o**2 wrt o.\n' | b'240*o**2 + 72*o\n' | b'Suppose 0*r - 28 = -14*r. Find the third derivative of 3*o**4 - 275*o**5 + 279*o**5 - 30*o**r - 17*o**2 wrt o.\n' | b'240*o**2 + 72*o\n' | deepmind/math_dataset |
b'Let t be 14/3 - 2/3. Suppose -h = t*h. Suppose -3*p - 11 - 1 = h, 4*i = -4*p + 4. Solve 0 = -3*a + n + 10, -10 = -i*a + n + 2*n for a.\n' | b'5\n' | b'Let t be 14/3 - 2/3. Suppose -h = t*h. Suppose -3*p - 11 - 1 = h, 4*i = -4*p + 4. Solve 0 = -3*a + n + 10, -10 = -i*a + n + 2*n for a.\n' | b'5\n' | deepmind/math_dataset |
b'Let w be (-9)/(-45) + (-14)/(-5). Let g be 5*((-111)/(-45) + 1/w). Find the second derivative of -176*j**2 - g*j + 176*j**2 + 16*j**4 wrt j.\n' | b'192*j**2\n' | b'Let w be (-9)/(-45) + (-14)/(-5). Let g be 5*((-111)/(-45) + 1/w). Find the second derivative of -176*j**2 - g*j + 176*j**2 + 16*j**4 wrt j.\n' | b'192*j**2\n' | deepmind/math_dataset |
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