**2. Solve s(a) = 0.
-2/15, 1/4
Let f(a) = -3*a**2 - 41*a + 151. Let x(q) be the second derivative of -q**4/12 - 7*q**3/2 + 75*q**2/2 + 19*q. Let s(m) = 6*f(m) - 14*x(m). Factor s(k).
-4*(k - 6)**2
Let u = -3809/6 - -635. Factor u*z + 1/3 - 1/3*z**2 - 1/6*z**3.
-(z - 1)*(z + 1)*(z + 2)/6
Let w be (-2 + 271)/(11/((-66)/9)). Let a = w + 190. Suppose 50/3*i**2 + 14/3*i**4 + a*i + 38/3*i**3 + 8/3 + 2/3*i**5 = 0. Calculate i.
-2, -1
Let z(f) = -6*f**2 - 9*f - 3. Suppose 2*u + 4*w = 8*w + 8, 2*w = 3*u - 32. Let t(a) = -13*a**2 + 4*a - 5 - 8*a - u*a. Let b(d) = -3*t(d) + 7*z(d). Factor b(o).
-3*(o + 1)*(o + 2)
Let o(n) = n**4 - 5*n**2 + 8*n - 2. Let y(p) = -p**3 + p**2 - 1. Suppose 47*r = 48*r - 3. Let l(x) = r*o(x) + 6*y(x). Solve l(i) = 0 for i.
-2, 1, 2
Let a be (22 - 1) + 8 + -27. Determine j so that -5/3*j**3 + 4/3*j + 0 + 8/3*j**a = 0.
-2/5, 0, 2
Let s(u) be the first derivative of u**7/1260 + u**6/144 + 7*u**5/360 + u**4/48 + 10*u**2 + 34. Let k(d) be the second derivative of s(d). Factor k(h).
h*(h + 1)**2*(h + 3)/6
Let m(s) = -5*s**3 - 14*s**2 - 7*s + 8. Let f(a) = -a**3 - 2*a**2 - a + 1. Let u(o) = -6*f(o) + m(o). Factor u(r).
(r - 2)*(r - 1)*(r + 1)
Suppose 24 = -6*r + 12*r. Let x(s) be the third derivative of -2*s**2 + 0*s**3 - 1/20*s**r - 1/100*s**5 + 0 + 0*s. Determine v so that x(v) = 0.
-2, 0
Let d(q) be the first derivative of q**4/6 + 2*q**3/3 - 3*q**2 - 18*q + 10. What is t in d(t) = 0?
-3, 3
Let y = 27 + -24. Suppose -2*v**y + 3*v**2 - v**3 + v**3 + v**2 = 0. Calculate v.
0, 2
Let v(t) be the first derivative of t**3/3 - 3*t**2 + 9*t + 213. Factor v(a).
(a - 3)**2
Let s(j) be the first derivative of 3*j**5/20 - 15*j**4/16 + 48. Let s(a) = 0. Calculate a.
0, 5
Let x = 409/4590 + 5/459. Let p(h) be the second derivative of 0*h**3 + 0*h**2 + x*h**5 + 0 - 1/3*h**4 - 3*h. Suppose p(m) = 0. Calculate m.
0, 2
Let j = -13/46 + 70/207. Let c(g) be the first derivative of -3/2*g - 1/2*g**2 + 6 - j*g**3. What is h in c(h) = 0?
-3
Let z be 5*(-162)/(-150)*25/(-315)*-6. Factor -12/7 + z*q**3 - 3/7*q**4 - 39/7*q**2 + 36/7*q.
-3*(q - 2)**2*(q - 1)**2/7
Let o(b) = -6*b**3 + 14*b**2 + 14*b. Let w(a) = -a**2 + 21*a**2 + 7*a**2 + 6*a**3 + 27*a - 18*a**3. Let d(r) = -11*o(r) + 6*w(r). Solve d(l) = 0 for l.
-2/3, 0, 2
Suppose 4*g = 20, 5*h - 3*g + 4 + 1 = 0. Let x be (-6)/(-513)*9 + ((-184)/(-57) - 3). Factor -x*j + 0 - 1/3*j**h.
-j*(j + 1)/3
Let t(u) be the second derivative of 4*u + 0*u**2 + 1/18*u**4 + 0 + 1/45*u**6 + 0*u**3 + 1/15*u**5. Factor t(z).
2*z**2*(z + 1)**2/3
Solve -128 - 217*h + 1505*h**4 + 17*h - 22*h**3 - 1506*h**4 - 108*h**2 = 0.
-16, -2
Let x(u) be the second derivative of -u**7/630 - u**6/90 + u**4/2 - 3*u. Let j(g) be the third derivative of x(g). Find a such that j(a) = 0.
-2, 0
Suppose 0 + 0*j - 1/3*j**3 + 1/3*j**2 + 1/3*j**5 - 1/3*j**4 = 0. What is j?
-1, 0, 1
Suppose -429 = -43*f - 173 - 170. Solve -3/4*n**f + 12*n - 48 = 0 for n.
8
Let u(x) be the first derivative of -x**4/18 + 14*x**3/27 - 11*x**2/9 + 10*x/9 + 45. Factor u(i).
-2*(i - 5)*(i - 1)**2/9
Suppose -18*d = -36*d + 54. Determine r, given that -4/19*r**d + 0*r + 2/19*r**2 + 2/19*r**4 + 0 = 0.
0, 1
Let n(i) be the second derivative of -1/21*i**3 + 1/35*i**5 + 0 - 1/7*i**2 - 1/147*i**7 - 1/105*i**6 + 1/21*i**4 + 18*i. Find s, given that n(s) = 0.
-1, 1
Suppose -r + 0*l + 8 = 2*l, 2*l - 8 = 3*r. Suppose -d + 0*d - 4 = r, -4*o + 2*d = -24. Let 8*i + 3 + 3 - o*i**2 + 6 = 0. What is i?
-1, 3
Let f(t) = t**2 + 1. Let k(z) = z. Let x(h) = -f(h) + k(h). Let p(i) = -6*i**2 + 9*i - 9. Let d(r) = -p(r) + 5*x(r). What is g in d(g) = 0?
2
Let i(z) be the third derivative of 0*z - 3/7*z**3 + 1/14*z**4 + 11*z**2 - 1/210*z**5 + 0. Factor i(t).
-2*(t - 3)**2/7
Suppose 2*v = -p + 16, 8*p = -v + 9*p + 11. Let s(i) be the second derivative of -1/16*i**4 - v*i + 0 + 3/4*i**2 + 1/8*i**3. Let s(l) = 0. Calculate l.
-1, 2
Suppose 99 = 45*y - 36. Factor -2/3*t + 2/3*t**y - 2/3 + 2/3*t**2.
2*(t - 1)*(t + 1)**2/3
Factor -75*t**4 - 162*t**2 + 27*t**3 + 480*t**4 - 808*t**2 - 40 + 380*t + 198*t**3.
5*(t - 1)*(t + 2)*(9*t - 2)**2
Let m(j) be the first derivative of -3*j**3/7 + 3*j**2/2 - 12*j/7 + 320. What is w in m(w) = 0?
1, 4/3
Determine u, given that -6*u**3 + 27/2*u**4 - 67/2*u**2 - 2 - 16*u = 0.
-1, -1/3, -2/9, 2
Let g(r) = -4*r + 26. Let p be g(6). Suppose -1 - 10*c**2 - 3*c**4 + 4*c**p + 6*c**4 + 4 = 0. What is c?
-1, 1
Let p(z) be the second derivative of z**4/4 + 21*z**3/2 + 165*z**2 + 2*z - 8. Solve p(x) = 0 for x.
-11, -10
Let w(x) be the first derivative of -x**5/10 + 27*x**4/4 - 26*x**3/3 - 27*x**2/2 + 53*x/2 + 223. Solve w(y) = 0 for y.
-1, 1, 53
Let p(m) = -4*m**2. Let b(l) = -30*l**2 + 31*l - 15. Let a(g) = 2*b(g) - 14*p(g). Factor a(j).
-2*(j - 15)*(2*j - 1)
Let m(k) = 3*k**2 + 46*k + 43. Let j(p) = -6*p**2 - 90*p - 84. Let i(q) = -5*j(q) - 9*m(q). Factor i(l).
3*(l + 1)*(l + 11)
Solve -1 - 9/4*r**2 + 11/4*r + 1/4*r**3 + 1/4*r**4 = 0.
-4, 1
Suppose -4*m + 3*m = -n + 1, 3*m = -n + 5. Let -8/3 + 8/3*t - 2/3*t**n = 0. What is t?
2
Let f(h) be the second derivative of 2*h**4/15 + 34*h**3/15 - 18*h**2/5 + 36*h. Factor f(v).
4*(v + 9)*(2*v - 1)/5
Let j be ((-5)/(-35))/((-6)/21)*(1 + -1). Determine h so that 2/21*h + 0 - 2/21*h**3 + j*h**2 = 0.
-1, 0, 1
Suppose 5/3*g**5 - 43/3*g**4 + 119/3*g**2 + 12 - 11*g**3 + 140/3*g = 0. What is g?
-1, -2/5, 2, 9
Let z(l) be the first derivative of l**4/8 - l**3/6 - l**2/2 + 10. Determine p, given that z(p) = 0.
-1, 0, 2
Let b(a) be the first derivative of -24/5*a**5 + 5/6*a**6 + 36 - 8/3*a**3 - 3/2*a**2 + 15/2*a**4 + 0*a. Determine y so that b(y) = 0.
-1/5, 0, 1, 3
Let r(q) be the second derivative of -q**4/72 - 7*q**3/4 - 31*q**2/6 + 327*q. Suppose r(a) = 0. Calculate a.
-62, -1
Let a(m) be the third derivative of -8/15*m**6 + 64/5*m**5 + 1/105*m**7 - 22*m**2 + 4096/3*m**3 + 0 - 512/3*m**4 + 0*m. Let a(v) = 0. What is v?
8
Factor 3/2*y**2 - 2*y + 1/2*y**3 - 6.
(y - 2)*(y + 2)*(y + 3)/2
Let d(l) be the third derivative of l**5/390 - l**4/26 - l**2 + 12*l. Solve d(v) = 0.
0, 6
Solve 2/9*f**2 + 98 - 28/3*f = 0.
21
What is h in h**3 - 8*h**2 + 17*h + 29 - 15 - 10 - 14 = 0?
1, 2, 5
Determine x so that 2/7*x**2 + 1058/7 + 92/7*x = 0.
-23
Let j(f) = -20*f**5 - 67*f**4 + 13*f**3 + 69*f**2 + 7*f - 8. Let i(r) = -2*r**4 - 1. Let v(k) = -2*i(k) + j(k). Find p, given that v(p) = 0.
-3, -1, -2/5, 1/4, 1
Let f(n) be the first derivative of -n**5/5 - n**4 + 5*n**3/3 + 18*n**2 + 36*n + 602. Factor f(k).
-(k - 3)*(k + 2)**2*(k + 3)
Let j = 6415/6 + -1069. Factor -1/6*n + 0 + 1/6*n**2 - j*n**4 + 1/6*n**3.
-n*(n - 1)**2*(n + 1)/6
Let k(l) be the first derivative of -4*l**6/3 - 26*l**5/5 - 3*l**4/2 + 228. Factor k(u).
-2*u**3*(u + 3)*(4*u + 1)
Let k(v) = 2*v - 12. Let h be k(8). Suppose 2*w - 1 + 3 = -2*s, -h*w + 17 = -3*s. Factor 0*m - 3/7*m**w + 3/7.
-3*(m - 1)*(m + 1)/7
Let c(v) be the second derivative of -2*v**5/95 + v**4/38 + v**3/57 - 105*v. Factor c(w).
-2*w*(w - 1)*(4*w + 1)/19
Find s such that 4/3*s**2 + 0 + 0*s**3 - 2/3*s - 4/3*s**4 + 2/3*s**5 = 0.
-1, 0, 1
Let k be 0*((-4)/12)/(-1). Let j(t) be the first derivative of 4/9*t**3 + 1/6*t**4 - 4 + 1/3*t**2 + k*t. What is a in j(a) = 0?
-1, 0
Let o(a) be the third derivative of 13*a**9/22680 + 11*a**8/10080 - a**7/1890 + 5*a**4/12 + 26*a**2. Let q(j) be the second derivative of o(j). Factor q(u).
2*u**2*(u + 1)*(13*u - 2)/3
Let y(u) = -5*u**3 + 99*u**2 - 277*u + 186. Let m(t) = -60*t**3 + 1190*t**2 - 3325*t + 2230. Let i(p) = -3*m(p) + 35*y(p). Factor i(o).
5*(o - 18)*(o - 2)*(o - 1)
Suppose 0*m + 2*m + 2*m = 0. Find r, given that 0*r + 6/7*r**3 + m + 0*r**2 + 3/7*r**4 - 3/7*r**5 = 0.
-1, 0, 2
Let k(r) = r**3 - 5*r**2 + 7*r - 1. Let t be k(3). Let a(c) be the first derivative of -1 + 3/20*c**4 - 3/5*c - 3/5*c**3 + 9/10*c**t. Factor a(i).
3*(i - 1)**3/5
Let x be 74/26 + (48/(-156))/(-2). Determine k, given that 33/2*k**2 + 3*k**5 - 6 - 21/2*k**4 - 6*k + x*k**3 = 0.
-1, -1/2, 1, 2
Suppose -4 = 17*f - 4. Let o(v) be the second derivative of -1/60*v**4 + 1/10*v**3 - 7*v + 0 + f*v**2. Solve o(b) = 0 for b.
0, 3
Let x(g) = 7*g**2 + 162*g + 23. Let w be x(-23). Find u such that 4/9*u**3 + 0*u**2 - 2/3*u**5 + 0 + w*u + 10/9*u**4 = 0.
-1/3, 0, 2
Factor -15/4*d**3 + 0 - 5/4*d + 6*d**2 - d**4.
-d*(d - 1)*(d + 5)*(4*d 