**2.
-2*a*(a + 1)*(a + 4)/11
Let j = -576743 + 576745. Factor 2*p**3 - 94/3*p**j + 20*p + 0.
2*p*(p - 15)*(3*p - 2)/3
Solve 79006 - 436*z**3 + 10248*z**4 - 10247*z**4 + 47958*z**2 - 31917 - 94612*z = 0 for z.
1, 217
Let u(q) be the first derivative of q**4/18 + 428*q**3/9 + 427*q**2/3 + 1280*q/9 + 26. Factor u(v).
2*(v + 1)**2*(v + 640)/9
Let -13*p**3 - 15/2*p**4 - 1/2*p**5 + 13/2 + 27/2*p + p**2 = 0. What is p?
-13, -1, 1
Let 10458/11*u**2 - 3942/11*u + 0 - 96/11*u**4 - 624*u**3 = 0. Calculate u.
-73, 0, 3/4
Solve 402/7*s**3 - 330/7*s**5 + 732/7*s**2 - 948/7*s**4 + 0 - 288/7*s = 0 for s.
-3, -1, 0, 2/5, 8/11
Let g(l) be the third derivative of l**5/90 - 13*l**4/18 - 205*l**3/3 + 86*l**2 + 2*l. Factor g(n).
2*(n - 41)*(n + 15)/3
Let v(l) be the second derivative of -3*l**5/110 + 3*l**4/11 - 96*l**2/11 + 2*l + 116. Solve v(r) = 0.
-2, 4
Factor -128517*w + 767*w**2 - 183*w**2 + 1664 + 126789*w - 72*w**3 + 2*w**4.
2*(w - 26)*(w - 4)**2*(w - 2)
Suppose 136*s - 133*s = -2*w + 3, 3*w + 18 = 3*s. Let m(x) be the second derivative of 0*x**2 + 2/15*x**s + 0 - 16*x - 1/150*x**5 - 1/90*x**4. Factor m(n).
-2*n*(n - 2)*(n + 3)/15
Let c(x) be the third derivative of -x**6/60 - 133*x**5/10 + 134*x**4 - 1612*x**3/3 + 2229*x**2. Factor c(i).
-2*(i - 2)**2*(i + 403)
Let p(u) be the first derivative of 17/12*u**2 - 1/30*u**5 + 147 - u - 17/18*u**3 + 7/24*u**4. Factor p(w).
-(w - 3)*(w - 2)*(w - 1)**2/6
Let x(v) = -v**2 - 13*v + 9. Let g(f) = -f - 3*f**2 + 0*f - 1 + 2*f**2 + 0*f**2. Let r(b) = -3*g(b) + x(b). Factor r(d).
2*(d - 3)*(d - 2)
Let f be 3/(-8) - (-2192691)/1128. Let w = 1948 - f. Factor w - 3/4*a**2 - 3/4*a.
-3*(a - 2)*(a + 3)/4
Let p(s) be the third derivative of s**7/504 + s**6/48 - 5*s**5/12 - 71*s**4/24 + 281*s**2. Let d(f) be the second derivative of p(f). Factor d(z).
5*(z - 2)*(z + 5)
Let b(r) be the first derivative of -33/19*r**2 + 109 - 68/19*r + 2/57*r**3. Factor b(c).
2*(c - 34)*(c + 1)/19
Let b(u) be the third derivative of u**9/5292 + u**8/735 + u**7/294 + u**6/315 - 5*u**3/3 - 3*u**2 + 17. Let d(f) be the first derivative of b(f). Factor d(h).
4*h**2*(h + 1)**2*(h + 2)/7
Find l such that -310/3*l - 86*l**2 + 2/3*l**4 + 18*l**3 + 0 = 0.
-31, -1, 0, 5
Let y be 24/10 - 2508/(-285). Factor -18 + y*q**2 + 4*q**3 + 2/5*q**4 + 12/5*q.
2*(q - 1)*(q + 3)**2*(q + 5)/5
Let z = 92 + -88. Determine v, given that 16*v - 3*v**3 + 12*v**2 - 10*v**3 + 17*v**3 + z*v**2 = 0.
-2, 0
Suppose -2381 = -1659*w + 937. Factor -6/7*g**w + 6/7*g**3 - 12/7*g + 0.
6*g*(g - 2)*(g + 1)/7
Let n = -4066 - -4068. Let a(i) be the first derivative of 0*i - 1 + 2/3*i**3 - n*i**2. Solve a(k) = 0.
0, 2
Let d(j) be the second derivative of 10/3*j**4 + 0 + 173*j - 6*j**3 - 1/5*j**5 + 0*j**2. Factor d(t).
-4*t*(t - 9)*(t - 1)
Let r(q) = 2*q**3 + 14*q**2 + 2. Let h be r(-7). Let w be (-33)/(-110) + 1/2. Suppose -2/5 + w*y**3 + 8/5*y - 2*y**h = 0. What is y?
1/2, 1
Factor -125*g**3 + 126*g**3 + 23474*g**2 - 23893*g**2 - 842*g.
g*(g - 421)*(g + 2)
Let b(o) be the third derivative of -o**7/4200 + 11*o**6/600 - 121*o**5/200 + 31*o**4/8 + 5*o**2 + 2*o. Let s(c) be the second derivative of b(c). Factor s(x).
-3*(x - 11)**2/5
Let o be (-3)/21 + (-76)/7. Let g(q) = 73*q**2 + 39*q - 11. Let t(l) = 24*l**2 + 12*l - 4. Let c(v) = o*t(v) + 4*g(v). Factor c(a).
4*a*(7*a + 6)
Let x = 245 + -243. Factor -5*c**x + 11*c**2 - 3*c**2 + 48*c - 6*c**2.
-3*c*(c - 16)
Let f(k) be the third derivative of k**8/84 + 10*k**7/21 + 3*k**6 + 26*k**5/3 + 85*k**4/6 + 14*k**3 - 51*k**2. Suppose f(y) = 0. What is y?
-21, -1
Let c(k) be the third derivative of 5*k**8/84 + 52*k**7/105 + 3*k**6/40 - 79*k**5/12 - 89*k**4/6 - 14*k**3 + 3778*k**2. What is o in c(o) = 0?
-21/5, -2, -1/2, 2
Factor -646/23 + 1290/23*n - 642/23*n**2 - 2/23*n**3.
-2*(n - 1)**2*(n + 323)/23
Let s(u) = 7*u**3 - 883*u**2 + 1613*u + 2399. Let b(k) = -k**3 + 146*k**2 - 269*k - 400. Let i(t) = -39*b(t) - 6*s(t). Determine l so that i(l) = 0.
-134, -1, 3
Let c(d) = -3*d**2 + 2*d - 1. Let n(r) = 21*r**3 + 194*r**2 - 344*r + 86. Let b(t) = 30*c(t) + 5*n(t). Factor b(s).
5*(s + 10)*(3*s - 4)*(7*s - 2)
Let c be 1164/(-1358) + (-135)/(-35). Determine a, given that 2/3*a**2 + 5/6*a**c - 1/2*a**4 - 2/3*a + 0 = 0.
-1, 0, 2/3, 2
Let s be 191/((-271411)/147) + 2761/58. Factor 1/2*j**3 - 47/2 - 49/2*j**2 + s*j.
(j - 47)*(j - 1)**2/2
Let q(m) be the third derivative of -m**7/210 - 7*m**6/40 - 39*m**5/20 + 27*m**4/8 + 243*m**3 + 34*m**2 - 11. Factor q(f).
-(f - 3)*(f + 6)*(f + 9)**2
Suppose 4*g + 96 = 104. Factor -35*m**3 + 4228 - 4068 + 2*m**4 - 4*m**4 - 3*m**4 + 160*m - 30*m**g.
-5*(m - 2)*(m + 1)*(m + 4)**2
Determine p, given that 566 - 2*p**3 - 9520*p + 10109 - 278*p**2 - 875 = 0.
-70, 1
Let y = -96 + 91. Let a be y/(-360)*26 - (-6)/8. Determine x, given that -2/9*x**2 + 4/3*x - a = 0.
1, 5
Let h be 2 + (-2)/(-4 - 0). Let l = 16141/2 + -8069. Factor l*z**2 + h - 9/2*z + 1/2*z**3.
(z - 1)**2*(z + 5)/2
Let w(f) = -2*f**2 - 40*f + 3. Let p be w(-20). Suppose 0 = p*d + 3*d - 12. Factor z**4 - 2/5*z**3 + 2/5*z - z**d + 0.
z*(z - 1)*(z + 1)*(5*z - 2)/5
Let s = 57209/8 + -7150. Let g(j) be the third derivative of -1/5*j**5 - 5/2*j**3 + 0*j + 0 - 22*j**2 - s*j**4. Suppose g(d) = 0. What is d?
-5/4, -1
Suppose -11*k + 9*k + 8 = 0. Factor -4*p**k + 4*p**3 + 396 - 396 + 8*p**2.
-4*p**2*(p - 2)*(p + 1)
Let t(j) be the first derivative of -5*j**3/3 - 5385*j**2 - 5799645*j - 584. Determine p so that t(p) = 0.
-1077
Let t be 3*(0 + 2/3). Let f be (-6)/(-20) + (12 - (5 + (-2996)/(-420))). Factor -4/3*x + 0 - f*x**t.
-x*(x + 8)/6
Let s be 119 + -110 + 0 + -9. Let m(r) = 2*r**2 - 2*r + 3. Let o be m(1). Factor -1/6*c**o + 2/3*c**2 + s*c + 0.
-c**2*(c - 4)/6
Let 0 + 82/3*s - 2/3*s**2 = 0. Calculate s.
0, 41
Let n(g) = 7*g**3 + 89*g**2 - 93*g - 3. Let f(l) = -32*l**3 - 446*l**2 + 464*l + 14. Let h(k) = -6*f(k) - 28*n(k). Factor h(x).
-4*x*(x - 45)*(x - 1)
Let n(m) = -30753*m - 61506. Let r be n(-2). Factor 0 - 3/7*a**3 + 6*a**2 + r*a.
-3*a**2*(a - 14)/7
Let z be (45/24)/5 - (-779)/(-2888). Suppose 13*q - 45 + 6 = 0. Determine a so that -2/19*a + 6/19*a**q + 0 - 10/19*a**4 + z*a**2 + 4/19*a**5 = 0.
-1/2, 0, 1
Let a = 49 - 47. Suppose -56 = -2*w - 4*c, -4*c - 6 = -w - a. Factor -11*k**2 - 5 + w*k**2 + 29 + 5*k**2 + 88*k.
2*(k + 6)*(7*k + 2)
Suppose 4*t - 18*w - 156 = 0, 1 = 3*t - 5*w - 48. Factor 3/4*c**4 + 0 + 0*c - 3/2*c**2 - 3/4*c**t.
3*c**2*(c - 2)*(c + 1)/4
Solve -24021/2*o - 1/2*o**3 + 154*o**2 + 23409 = 0 for o.
2, 153
Let k(v) = 6*v**2 + 8*v + 10. Let c(m) = 5*m**2 + 8*m + 11. Suppose 3*o + 6 = g + 5, 3*g = -4*o + 16. Let z(h) = g*k(h) - 5*c(h). Factor z(n).
-(n + 3)*(n + 5)
Let x(l) be the second derivative of -81*l**7/14 + 9351*l**6/10 - 200424*l**5/5 - 38774*l**4 + 54056*l**3 - 20184*l**2 - 5851*l. Let x(m) = 0. Calculate m.
-1, 2/9, 58
Let r(x) = 65*x**2 + 380*x - 80. Let u(y) = 24*y - 46 + 0 + 6 + 166*y + 31*y**2 + y. Let f(l) = 2*r(l) - 5*u(l). Factor f(v).
-5*(v + 8)*(5*v - 1)
Suppose -682*m = -667*m - 45. Let b(k) be the first derivative of 46/3*k**m - 3*k**4 + 1/5*k**5 - 30*k**2 + 1 + 25*k. Factor b(q).
(q - 5)**2*(q - 1)**2
Suppose 18 = 85*x - 2277. Let s be (-17)/12 + 45/x. Find m such that -3/2 + 1/4*m**2 + s*m = 0.
-3, 2
What is x in -56*x - 62/5*x**3 + 0 + 2/5*x**4 - 272/5*x**2 = 0?
-2, 0, 35
Let a(d) be the second derivative of -d**4/78 + 10*d**3/13 + 31*d**2/13 + 9*d + 52. Factor a(j).
-2*(j - 31)*(j + 1)/13
Factor 49*i**3 + 365*i**2 - 23637 - 5*i**4 + 23637 + 600*i - i**5.
-i*(i - 8)*(i + 3)*(i + 5)**2
Let n(o) = 3*o**2 - o - 2. Let z(y) = -19*y**2 - 10*y - 51. Let h(l) = 6*n(l) + z(l). Factor h(p).
-(p + 7)*(p + 9)
Let w(g) = 12*g**3 - 101*g**2 + 2268*g - 7790. Let s(i) = -3*i**3 + 34*i**2 - 756*i + 2596. Let p(h) = 7*s(h) + 2*w(h). Factor p(u).
3*(u - 6)**2*(u + 24)
Let u(x) = -x**3 + 4*x**2 - x + 34. Suppose -4*b + 3*d = -17, -4*b = b - d - 24. Let o be u(b). Solve 10/11*c**2 - 24/11*c**3 - 18/11*c**o + 8/11 + 24/11*c = 0.
-1, -2/3, 1
Factor 48/7*h**2 - 2/7*h**3 + 638/7*h + 204.
-2*(h - 34)*(h + 3)*(h + 7)/7
Suppose 54*r - r**4 + 27/4*r**3 + 0 - 1/4*r**5 + 81/2*r**2 = 0. What is r?
-4, -3, 0, 6
Let w(i) be the first derivative of 2*i**3/5 + 5778*i**2/5 + 5564214*i/5 + 2801. Factor w(l).
6*(l + 963)**2/5
Let d(p) be the second derivative of -1587*