0*g**4 + 3*g**2 + 1/3*g**3 - c*g**5 + 0. Let p(u) = 0. What is u?
-1, 1
Let k(f) = f**3 + f**2 - 2*f. Let d(i) = 7*i**3 + 11*i**2 - 60*i + 42. Let t(h) = d(h) - 5*k(h). Factor t(y).
2*(y - 3)*(y - 1)*(y + 7)
Let n = 45 + -353. Let s = -2154/7 - n. Factor -2/7 + 4/7*m - s*m**2.
-2*(m - 1)**2/7
Let c(p) = 14*p + 228. Let m be c(-16). Let d(h) be the first derivative of 5/3*h**3 + 4*h - 1 + m*h**2 + 1/4*h**4. Factor d(z).
(z + 1)*(z + 2)**2
Let f = -171/2 - -87. Let y = 2 - f. What is l in -y*l**2 + 0 - l = 0?
-2, 0
Let p(k) = k**3 + 2*k**2 - 2*k - 1. Let f(w) = -4*w**3 - 62*w**2 + 298*w + 344. Let g(q) = -2*f(q) - 12*p(q). Factor g(b).
-4*(b - 13)**2*(b + 1)
Suppose -14 = -9*g + 31. Let v = 984/3493 - -2/499. Factor 2/7*m**g + 0 + 0*m + 2/7*m**4 - v*m**3 - 2/7*m**2.
2*m**2*(m - 1)*(m + 1)**2/7
Let f(d) be the second derivative of d**5/15 - 5*d**4/6 - 4*d**3 - 13*d**2/2 + d - 9. Let r(y) be the first derivative of f(y). Solve r(o) = 0 for o.
-1, 6
Let b be (-10)/(-4)*1/((-2)/(-4)). Determine o, given that 8*o**2 - 6*o**2 + 6*o - b*o**2 + 18*o**2 = 0.
-2/5, 0
Let n(t) = -t**3 - 3*t**2 - t + 1. Let j be (-6 - -8)/(2/(-3)). Let o be n(j). Determine g, given that 2*g**4 + 4*g**2 - 6*g + 8*g - 2*g**5 - 6*g**o = 0.
-1, 0, 1
Let u(d) be the second derivative of 0*d**3 + 47*d - 1/3*d**4 + 0 + 0*d**2. Suppose u(k) = 0. Calculate k.
0
Find s, given that -84/5 - 124/5*s - 16/5*s**2 = 0.
-7, -3/4
Let w(x) be the second derivative of -7*x**4/12 + 3*x**3/2 - 36*x + 11. Let w(r) = 0. Calculate r.
0, 9/7
Let d(g) be the second derivative of -g**4/27 - 76*g**3/27 - 722*g**2/9 - 5*g + 4. Suppose d(h) = 0. Calculate h.
-19
Let r(t) be the third derivative of 5*t**8/64 + 13*t**7/168 - 9*t**6/16 + t**5/4 + 5*t**4/12 + 613*t**2. Find s, given that r(s) = 0.
-2, -2/7, 0, 2/3, 1
Let s(h) = h**4 - h**3 + h**2. Let o = -28 + 50. Let v(a) = 10*a**4 - 7*a**3 + 5*a**2 + 4*a - 1. Let q(f) = o*s(f) - 2*v(f). Determine i so that q(i) = 0.
1
Let q(s) be the second derivative of 0*s**2 + 0 + s**4 + 2/5*s**6 - 7*s + 1/14*s**7 + 1/2*s**3 + 9/10*s**5. Factor q(k).
3*k*(k + 1)**4
Let 3/4*a**4 + 0*a + 3 + 0*a**3 - 15/4*a**2 = 0. Calculate a.
-2, -1, 1, 2
Let l(s) be the first derivative of -s**6/3 + 4*s**4 - 4*s**3 - 7*s**2 + 12*s + 589. Solve l(r) = 0.
-3, -1, 1, 2
Factor -2*j**4 + 4*j - 2*j**3 + 5*j**3 - 4*j**5 + 0*j**2 + 8*j**2 + 3*j**5.
-j*(j - 2)*(j + 1)**2*(j + 2)
Let p be (0/(-88) - 2/(-1)) + -2. Factor 14/13*g**2 + p - 4/13*g.
2*g*(7*g - 2)/13
Let t = 26 + -22. Suppose 0*m**4 - t*m**2 + 2*m**2 - 3*m**2 - 5*m**4 + 10*m**3 = 0. Calculate m.
0, 1
Suppose 0*o**2 - o**2 + 2*o**2 + o**2 + o**2 + 8427 - 318*o = 0. Calculate o.
53
Let c(s) be the first derivative of -1 + 2*s**2 + 4*s + 1/3*s**3. Determine l, given that c(l) = 0.
-2
Let o(x) be the second derivative of x**6/25 - 11*x**5/10 - 3*x**4/2 + 9*x**3 - 38*x**2/5 - 742*x. Suppose o(n) = 0. Calculate n.
-2, 1/3, 1, 19
Let k(s) be the first derivative of -s**5/10 - s**4/4 + 2*s**3 + 9*s**2/2 - 27*s/2 - 5. Factor k(c).
-(c - 3)*(c - 1)*(c + 3)**2/2
Suppose -5*h + 3*p + 2 = -5, 2 = 2*h - 2*p. Let n = 5 - h. Let m**2 + 6*m**2 - m**2 - 9*m + 3*m**n = 0. Calculate m.
-3, 0, 1
Factor -3*f**2 + 27*f**2 + 0*f**2 - 6 + 4*f**2 + 10*f - 8*f.
2*(2*f + 1)*(7*f - 3)
Let h(n) be the third derivative of -n**5/330 - n**4/66 + 5*n**3/11 - 12*n**2 + n. Factor h(o).
-2*(o - 3)*(o + 5)/11
Let n(d) be the third derivative of -d**8/560 + d**7/280 + d**3/6 + 2*d**2 - 7. Let q(m) be the first derivative of n(m). Factor q(k).
-3*k**3*(k - 1)
Determine i so that 0*i + 24/7*i**3 + 16/7*i**5 + 0 - 4/7*i**2 - 36/7*i**4 = 0.
0, 1/4, 1
Suppose 0 = -4*s - 6 - 18. Let g = 7 + s. Suppose -2*b**3 - 19*b**3 + b**2 + g - 7 + 21*b + 5*b**2 = 0. Calculate b.
-1, 2/7, 1
Let z be -3 - 19/228*393/(-11). Let f = z + 107/836. Factor -6/19*p + f*p**3 + 4/19 + 0*p**2.
2*(p - 1)**2*(p + 2)/19
Let t(s) be the first derivative of -25 + 2*s**2 - 5/2*s**5 + 15/4*s**4 + 0*s + 6*s**3. Factor t(i).
-i*(i - 2)*(5*i + 2)**2/2
Let x(p) = p**3 - 5*p**2 + p. Let r be x(5). Let -r*j + 102*j**2 - 2*j + 3*j - 101*j**2 = 0. Calculate j.
0, 4
Let w(f) = f**2 - 2*f + 2. Let r be (-4)/(-3)*15/10. Let z be w(r). Factor 5*q**4 - q**4 + 6*q**z + 0*q**4 - q**4 + 9*q**3.
3*q**2*(q + 1)*(q + 2)
Let h = 239/308 - 9/44. Let d = -4/3 - -31/21. Factor -h*q**3 + 1/7*q**2 + 4/7*q - d.
-(q - 1)*(q + 1)*(4*q - 1)/7
Let c(l) be the third derivative of -l**9/840 + l**8/600 + l**7/1050 - 3*l**3 + 18*l**2. Let i(r) be the first derivative of c(r). Factor i(j).
-2*j**3*(j - 1)*(9*j + 2)/5
Let o = 482/1695 - 2/113. Let l(d) be the second derivative of -9/2*d**3 - 6*d + o*d**6 + 1/42*d**7 + 9/10*d**5 + 0*d**2 + 0 + 0*d**4. What is f in l(f) = 0?
-3, 0, 1
Let p(h) be the third derivative of -5/12*h**4 - 3*h**2 - 4/3*h**3 + 0 + 0*h - 1/30*h**5. Factor p(o).
-2*(o + 1)*(o + 4)
Let d(b) = b**5 + b**4 - b**3 + b**2 + b. Let s = 13 + 15. Let o(r) = 16*r**5 + 16*r**4 - 16*r**3 + 12*r**2 + 14*r. Let c(l) = s*d(l) - 2*o(l). Factor c(y).
-4*y**2*(y - 1)*(y + 1)**2
Let n(l) be the second derivative of -8*l**7/21 - 26*l**6/15 - 3*l**5/5 - l + 59. Find r such that n(r) = 0.
-3, -1/4, 0
Let u(z) = 343*z - 1367. Let q be u(4). Let 2/3 + 32/3*d + 800/3*d**4 + 584/3*d**3 + 128*d**q + 66*d**2 = 0. What is d?
-1, -1/3, -1/4
Let h(y) be the second derivative of -y**7/28 - 11*y**6/60 - y**5/20 + 7*y**4/12 + 5*y**3/12 - 3*y**2/4 + 151*y. Find z such that h(z) = 0.
-3, -1, 1/3, 1
Determine j, given that 0*j**2 + 0 + 2/7*j**4 + 216/7*j - 18/7*j**3 = 0.
-3, 0, 6
Suppose 0*t - 4/3*t**2 + 14/9*t**5 + 0 - 20/3*t**4 + 58/9*t**3 = 0. What is t?
0, 2/7, 1, 3
Let x(r) be the third derivative of r**8/336 + 92*r**7/105 + 73*r**6/24 + 91*r**5/30 - 19*r**2 - 19*r. Factor x(n).
n**2*(n + 1)**2*(n + 182)
Let x = 6 - 6. Suppose -3*j + 6 + 3 = x. Find b such that -b**4 - 3*b**2 + 2*b - 6*b**j - 2*b - 2*b**4 = 0.
-1, 0
Let w(p) be the second derivative of -p**7/210 + p**6/90 + p**5/15 - 10*p**3 - 14*p - 1. Let d(q) be the second derivative of w(q). Factor d(u).
-4*u*(u - 2)*(u + 1)
Let r(n) = 26*n**4 - 4*n**3 + 121*n**2 + 580*n + 443. Let s(k) = 22*k**4 - 4*k**3 + 122*k**2 + 580*k + 444. Let o(y) = -6*r(y) + 7*s(y). Factor o(v).
-2*(v - 9)*(v + 1)*(v + 5)**2
Let s be (-5*2/(-7))/(12/84). Let y be (-20)/50 + 39/s. Factor -y*f**2 + 3 + 19/2*f.
-(f - 3)*(7*f + 2)/2
Let p(x) = 12*x**2 + 63*x + 15. Let u be p(-5). Factor u + 2/15*m**3 + 0*m + 4/15*m**4 + 0*m**2 + 2/15*m**5.
2*m**3*(m + 1)**2/15
Let b(g) = -g**3 - g**2 - 1. Let u(z) = -3*z - 2. Let k be u(0). Let c(x) = -x**5 - 2*x**4 - x**3 - 2. Let o(p) = k*b(p) + c(p). Factor o(f).
-f**2*(f - 1)*(f + 1)*(f + 2)
Let k(o) be the first derivative of 7*o**4/6 - 32*o**3/9 + 4*o**2/3 - 271. Let k(z) = 0. What is z?
0, 2/7, 2
Let -3/8*t + 0*t**3 + 3/4*t**4 - 3/4*t**2 + 0 + 3/8*t**5 = 0. What is t?
-1, 0, 1
Suppose 2*n - 2*g - 4 = -0*g, -5*n = 2*g + 4. Let t be 6*(3/6 - n). Let -2*u**2 - 3*u - 3*u - u + 2*u**t + 3*u = 0. Calculate u.
-1, 0, 2
Let o(f) be the first derivative of 35*f**6/6 - 26*f**5 + 65*f**4/4 + 10*f**3 + 109. Let o(d) = 0. Calculate d.
-2/7, 0, 1, 3
Let d(y) be the second derivative of -y**5/50 - 17*y**4/30 + 37*y**3/15 - 19*y**2/5 + 27*y - 1. Suppose d(j) = 0. What is j?
-19, 1
Let o be -1*-5*7/(-175)*-1. Let g(h) be the first derivative of 1/25*h**5 + 0*h + o*h**3 - 10 + 1/4*h**4 + 0*h**2 - 1/30*h**6. Factor g(u).
-u**2*(u - 3)*(u + 1)**2/5
Let s(r) = r**3 + r**2 - r. Let l be s(0). Let u be l*((-1)/2 + 0). Suppose u*q - 2*q**3 + 2/5*q**2 + 8/5*q**4 + 0 = 0. Calculate q.
0, 1/4, 1
Let h(b) = b**2 - 8*b - 1. Let v be h(7). Let k = 10 + v. Solve 2*w**4 - 4*w**3 - k*w - 2*w**4 - 7*w**2 + 4*w**4 = 0 for w.
-1/2, 0, 2
Let w(m) = -m + 1. Suppose 0 = n - 4*y - 29, 5*n - 5*y - 77 = -2*y. Let o(v) = n + 13 + 14 - 15*v + 3*v**2 - 16. Let s(r) = -o(r) - 3*w(r). Factor s(h).
-3*(h - 3)**2
Let p(h) be the first derivative of 0*h + 1/20*h**5 + 4 - 3/2*h**2 + 0*h**4 + 0*h**3. Let t(u) be the second derivative of p(u). Factor t(l).
3*l**2
Let z = -41080862/253 - -162374. Let a = z - -26/23. Determine w, given that -2/11*w + a*w**5 + 0*w**3 - 4/11*w**4 + 0 + 4/11*w**2 = 0.
-1, 0, 1
Let u(j) = j**2 - j - 2. Let r(c) = -2*c**4 - 10*c**3 - 18*c**2 + 10*c + 20. Let g(h) = -r(h) - 10*u(h). Suppose g(i) = 0. Calcula