**2.
-2*q*(q - 1)**2*(q + 1)**2/9
Let f = -1/147 + 593/735. Factor -12/5*d - f*d**2 + 16/5.
-4*(d - 1)*(d + 4)/5
Let p(k) = k**5 + 4*k**4 + 32*k**3 + 51*k**2 + 53*k + 21. Let h(i) = i**4 + i**2 - i - 1. Let c = 6 - 3. Let n(j) = c*p(j) + 15*h(j). Let n(d) = 0. Calculate d.
-2, -1
Let k(w) = 21*w + 11. Let b be k(-7). Let f be b*(1 - 2) + -3. Factor j**2 + 134 - f - 2*j**2.
-(j - 1)*(j + 1)
Suppose 2*d = 2*n + 4, -4*d - 4*n = -2*d - 10. Let f(a) = -5*a + 17. Let h be f(d). Factor 3/2*b**h + 0 + 1/2*b**4 + 1/2*b + 3/2*b**3.
b*(b + 1)**3/2
Let b be (-4)/2*(-11)/22. Suppose b + 3 - 5*j**3 - j**2 + 3*j**3 + 9*j**2 - 10*j = 0. Calculate j.
1, 2
Let i be (210/45 - 8)/((-4)/6). Let a(m) be the first derivative of -2/9*m**4 - 2/45*m**i + 0*m + 12 + 0*m**2 - 8/27*m**3. Factor a(g).
-2*g**2*(g + 2)**2/9
Let h(s) be the third derivative of -1/96*s**6 - 1/24*s**4 - 9*s**2 + 0*s - 1/840*s**7 + 0*s**3 - 1/30*s**5 + 0. Suppose h(c) = 0. What is c?
-2, -1, 0
Let a(n) = 15*n**5 - 150*n**4 + 396*n**3 - 114*n**2 - 651*n. Let q(j) = -3*j**5 + 30*j**4 - 79*j**3 + 23*j**2 + 130*j. Let l(c) = 5*a(c) + 24*q(c). Factor l(o).
3*o*(o - 5)*(o - 3)**2*(o + 1)
Factor -44/3*s**2 - 16/3 + 4/3*s**5 - 16*s - 4/3*s**3 + 4*s**4.
4*(s - 2)*(s + 1)**3*(s + 2)/3
Suppose -39 = -24*f + 11*f. Let l(w) be the first derivative of -2/5*w + 1/15*w**f - 1/10*w**2 - 9. Factor l(c).
(c - 2)*(c + 1)/5
Factor -12/7*t**3 - 6/7*t**2 - 6/7*t**4 + 0 + 0*t.
-6*t**2*(t + 1)**2/7
Suppose -5*l - p = -3323, -4 + 1 = -p. Factor 3*a**3 - l*a + 664*a.
3*a**3
Let f(c) be the third derivative of 1/105*c**7 - 5/36*c**4 + 1/36*c**6 + 0 + 0*c + 26*c**2 - 2/9*c**3 - 1/90*c**5. Solve f(i) = 0 for i.
-1, -2/3, 1
Suppose 2*z = 2*j - 12, -9 = z + 2*z. Let 12*k**5 - 24*k**4 - 9*k**3 + 3 + 21*k**j - 9*k**3 - 15*k + 21*k**2 = 0. Calculate k.
-1, 1/2, 1
Let n = 278 + -278. Let o(q) be the second derivative of n - 1/54*q**4 - 2/9*q**2 + 1/9*q**3 + 7*q. Factor o(i).
-2*(i - 2)*(i - 1)/9
Suppose 0*j = -4*j - 16. Let g be (-6)/((-2)/(-1))*(2 + j). Suppose -16/3*h + g*h**3 + 2*h**2 - 8/3 = 0. Calculate h.
-2/3, 1
Let t(c) = -95 + 46 + c**4 + 3*c**3 + 44*c - 13*c**3 + 45 - 16*c**2. Let m(a) = -a**4 + 20*a**3 + 31*a**2 - 89*a + 9. Let g(b) = -4*m(b) - 9*t(b). Factor g(d).
-5*d*(d - 2)**2*(d + 2)
Let c = -3383 - -3386. Solve 2/19*h**5 + 2/19*h**c + 6/19*h**2 + 0 - 4/19*h - 6/19*h**4 = 0 for h.
-1, 0, 1, 2
Suppose -54/11*f + 2/11*f**3 + 108/11 + 0*f**2 = 0. Calculate f.
-6, 3
Suppose 442*t = -143*t + 35*t. Solve 5*b**3 - 5/3*b**5 - 4/3*b - 2/3*b**4 - 4/3*b**2 + t = 0 for b.
-2, -2/5, 0, 1
Let g(r) be the first derivative of 2*r**5/5 + 19*r**4/2 - 407. Factor g(p).
2*p**3*(p + 19)
Suppose 59 - 31 = -205*z + 28. Factor 14/5*o**2 - 2*o**3 + z - 6/5*o + 2/5*o**4.
2*o*(o - 3)*(o - 1)**2/5
Let r = 65/308 - -3/77. Let l(z) be the third derivative of -3/20*z**5 + 0*z + 0 - r*z**4 + 0*z**3 + z**2. Determine t, given that l(t) = 0.
-2/3, 0
Let t = 102 + -102. Let s(r) be the second derivative of -1/22*r**4 - r - 2/11*r**2 - 5/33*r**3 + t. Factor s(o).
-2*(o + 1)*(3*o + 2)/11
Let f = 2536 + -43110/17. Suppose -6/17*m - 2/17*m**3 - 6/17*m**2 - f = 0. Calculate m.
-1
Suppose 8*s + 6*s = 21*s. Let o(x) be the second derivative of 1/4*x**2 + 1/6*x**3 + 0*x**4 - 1/60*x**6 + s - 1/20*x**5 + 5*x. Factor o(l).
-(l - 1)*(l + 1)**3/2
Let p(a) be the second derivative of 0 - 1/10*a**4 - 11/100*a**5 + 9*a + 0*a**2 + 2/25*a**6 + 1/42*a**7 + 0*a**3. Solve p(z) = 0 for z.
-3, -2/5, 0, 1
Let z(o) be the first derivative of o**9/6048 - o**8/3360 - o**7/280 + o**6/180 + o**5/30 + 2*o**3 - 5. Let t(x) be the third derivative of z(x). Factor t(y).
y*(y - 2)**2*(y + 1)*(y + 2)/2
Let z(s) = 11*s + 68. Let d be z(-6). Determine w so that -5*w**d + 69 + 64 - 10*w - 133 = 0.
-2, 0
Let z be 424/306 + (-312)/702. Factor -2/17*v**2 - z*v - 32/17.
-2*(v + 4)**2/17
Let o = -13 - -17. What is n in 28*n - 13*n**4 + 18*n**o + 75*n**2 - 45*n**3 + 97*n = 0?
-1, 0, 5
Find j, given that 34/3*j - 2/3*j**2 + 0 = 0.
0, 17
Let p(n) be the second derivative of 2*n**6/45 + 8*n**5/15 + 22*n**4/9 + 16*n**3/3 + 6*n**2 + 85*n. Let p(c) = 0. What is c?
-3, -1
Let z(b) be the second derivative of -4/21*b**3 + 0 + 1/42*b**4 + 1/70*b**5 - 4/7*b**2 - 14*b. Solve z(w) = 0.
-2, -1, 2
Let l = -245 + 139. Let y be 14/77 + l/(-22). Factor 75*k**2 - 20*k**4 - 20*k - 55*k**2 + k**y + 15*k**3 + 2*k**5 + 2*k**5.
5*k*(k - 2)**2*(k - 1)*(k + 1)
Find s, given that -8*s**3 + 26*s + s**5 - 14 + 4*s**2 - 4*s**3 - 16*s**3 + s**5 + 10*s**4 = 0.
-7, -1, 1
Let -4*d**2 + 21/5*d**3 + 0*d - 1/5*d**4 + 0 = 0. What is d?
0, 1, 20
Let a(g) = -3*g + 8. Let y(v) = 16*v - 41. Let s(i) = -11*a(i) - 2*y(i). Let d be s(9). Factor 2*f**5 + 4*f - 6*f + d*f**4 - 3*f**2 + f**4 - f**2.
2*f*(f - 1)*(f + 1)**3
Let n(h) = -4*h**2 - 7*h - 7. Let z(k) = -k**2 - k - 1. Let q be 2/(-4) + (-91)/(-26). Let s(v) = q*z(v) - n(v). Factor s(o).
(o + 2)**2
Suppose -3/4*w**3 - 45*w**2 + 0 - 675*w = 0. Calculate w.
-30, 0
Solve -15/2 + 25/4*a - 5/4*a**2 = 0 for a.
2, 3
Let v(n) be the third derivative of n**5/60 + 5*n**4/12 + 11*n**3/6 + n**2. Let i be v(-9). Factor -2*w - 5*w**i + 2*w + w + 3*w**3 + 1.
(w - 1)**2*(3*w + 1)
Let b(q) be the third derivative of q**9/181440 + q**8/20160 + q**7/7560 - 17*q**5/30 - 11*q**2. Let k(r) be the third derivative of b(r). Factor k(w).
w*(w + 1)*(w + 2)/3
Let g = 10549/36 + -293. Let s(c) be the second derivative of 0 + 1/20*c**5 + 6*c - 1/30*c**6 + 0*c**2 - g*c**4 + 0*c**3 + 1/126*c**7. Factor s(r).
r**2*(r - 1)**3/3
Let n(d) = 3*d - 7. Let i be n(4). Let u(q) = 6*q**2 - 11*q - 7. Let s(b) = 3*b**2 - 5*b - 4. Let r(w) = i*s(w) - 2*u(w). Factor r(y).
3*(y - 2)*(y + 1)
Determine w so that 1/5*w**2 + 1/5*w - 4 = 0.
-5, 4
Let i(d) be the first derivative of -d**6/45 + 4*d**5/75 - 4*d**3/45 + d**2/15 + 90. Factor i(v).
-2*v*(v - 1)**3*(v + 1)/15
Suppose 0 = 4*r + b + 202, 5*b = r + 6*b + 49. Let i = -51 - r. Find u, given that -4/7*u + i + 10/7*u**2 + 6/7*u**3 = 0.
-2, 0, 1/3
Let l(t) be the third derivative of 0*t + 0*t**4 - 1/30*t**6 + 0*t**3 - 2*t**2 + 0*t**5 + 1/105*t**7 + 0. Factor l(s).
2*s**3*(s - 2)
Let i(l) be the third derivative of -l**8/224 + l**7/140 + l**6/40 - l**5/20 - l**4/16 + l**3/4 - 7*l**2 + 4. Factor i(d).
-3*(d - 1)**3*(d + 1)**2/2
Suppose 3*b = 4*p - 5, 5*p - 10 = b + 2*b. Determine l so that -372*l + 6*l**2 - l**2 + 0*l**2 + b + 382*l = 0.
-1
Let f = -2789/275 - -112/11. Let u(a) be the first derivative of -1/20*a**4 + f*a**5 + 3 - 1/15*a**3 + 0*a + 1/10*a**2. Find x, given that u(x) = 0.
-1, 0, 1
Let l(y) = -12*y**3 - 89*y**2 - 57*y - 48. Let z(s) = -2*s**3 - 15*s**2 - 9*s - 8. Let i(u) = 6*l(u) - 34*z(u). Factor i(d).
-4*(d + 1)**2*(d + 4)
Let v(g) = 17*g**2 - g + 14. Let t(q) = 48*q**2 - 4*q + 41. Let o(s) = 6*t(s) - 17*v(s). Determine u, given that o(u) = 0.
-8, 1
Let 16*w**3 - 13*w - 2*w**2 + 42*w**2 - 144 - 51*w + 230*w**4 - 231*w**4 = 0. What is w?
-2, 2, 18
Let c be -6*(-1)/6 + (-5 - -6). Let f = -809/3 + 272. Factor -1/3 + f*g**c - 2/3*g - 4/3*g**3.
-(g - 1)**2*(4*g + 1)/3
Let x(s) = 5*s**4 - 5*s**3 + 7*s**2 - s + 6. Let f(w) = -6*w**4 + 6*w**3 - 8*w**2 + w - 7. Let v(u) = -6*f(u) - 7*x(u). Determine z so that v(z) = 0.
-1, 0, 1
Let p(h) = -h - 6. Let y be p(-9). Find q, given that -2*q + 5*q**3 - 2*q**3 - q**2 + 2 - q**2 - q**y = 0.
-1, 1
Let w(m) be the second derivative of -343*m**5/100 + 49*m**4/10 - 14*m**3/5 + 4*m**2/5 - 31*m - 2. Determine i so that w(i) = 0.
2/7
Let l(r) be the second derivative of 5*r**5/54 - 4*r**3/27 - 9*r**2/2 - 9*r. Let z(d) be the first derivative of l(d). Let z(o) = 0. Calculate o.
-2/5, 2/5
Let w(s) be the first derivative of -64*s + 9 - 4/3*s**3 + 16*s**2. Suppose w(l) = 0. Calculate l.
4
Let m(c) be the third derivative of c**7/1260 - c**6/36 - c**4/24 + 37*c**2. Let z(a) be the second derivative of m(a). Factor z(q).
2*q*(q - 10)
Let x(a) be the second derivative of a**5/120 + 7*a**4/72 + a**3/6 - 62*a. Factor x(n).
n*(n + 1)*(n + 6)/6
Let g(q) be the first derivative of q**6/21 - 18*q**5/35 + 13*q**4/7 - 12*q**3/7 - 27*q**2/7 + 54*q/7 + 17. Suppose g(k) = 0. Calculate k.
-1, 1, 3
Let w(b) be the second derivative of -b**4/3 + 8*b**3/3 - 8*b**2 + 72*b. What is n in w(n) = 0?
2
Let x(m) be the second derivative of m**7/42 + m**6/12 + m