**3.
-(b - 2)*(b + 6)*(3*b - 1)/4
Let y(m) = 108*m**5 + 72*m**4 - 738*m**3 + 1246*m**2 - 556*m - 22. Let f(i) = -5*i**5 + i**3 - i**2 - i + 1. Let x(o) = 44*f(o) + 2*y(o). Factor x(k).
-4*k*(k - 17)**2*(k - 1)**2
Let k(p) be the second derivative of 0 + 13/2*p**3 + 2*p + 9*p**2 + 2*p**4 + 3/20*p**5. Factor k(f).
3*(f + 1)**2*(f + 6)
Let j(m) be the second derivative of -m**6/300 + 3*m**5/200 + m**4/24 - m**3/20 - m**2/5 + 86*m - 2. Solve j(i) = 0.
-1, 1, 4
Suppose 3*u - 25 = -2*u. Let a be ((-4)/10)/((-1)/u). What is j in 0 - 3*j**2 + 9 + 4*j**a - 6*j = 0?
3
Let a = -12 + 19. Suppose 0 = -a*m + m + 18. Factor 3*r**m - 3*r**3 + r**3 + 5*r - 2 - 4*r**2.
(r - 2)*(r - 1)**2
Determine h, given that 140*h - 228*h - 75*h**2 + 151*h + 3*h**4 + 7*h**3 + 2*h**3 + 0*h**3 = 0.
-7, 0, 1, 3
Let m be -4*(4 + (-33)/4). Solve 10*o**2 + 4*o**4 - 31*o**2 + m*o**2 = 0 for o.
-1, 0, 1
Let f be 268/76 + (5 - (5 - -3)). Determine o so that 6/19*o**3 + 8/19 - f*o**2 - 8/19*o = 0.
-1, 2/3, 2
Suppose -y + 1 = 2*z, 3*y + 7 + 23 = 5*z. Let i(p) be the first derivative of -4 + 3 - p**3 + 6*p - z*p - 5. Suppose i(k) = 0. What is k?
-1, 1
Let w be 39 + 3/(-7) + 18/(-7). Factor -w*f + 31*f**4 + 22*f**3 - 8 - 79*f**4 + 9*f**5 - 6*f**2 + f**3 + 50*f**3.
(f - 2)**3*(3*f + 1)**2
Let n(d) be the second derivative of d**6/45 - d**5/20 - 7*d**4/9 - 11*d**3/6 - 5*d**2/3 - 189*d. Suppose n(w) = 0. What is w?
-2, -1, -1/2, 5
Suppose 3*b + 8*d - 680 = 6*d, 4*b + d - 900 = 0. Let h = b - 222. Factor 0*l + 3/4*l**h - 3.
3*(l - 2)*(l + 2)/4
Determine y so that 3/7*y**2 - 39/7 - 36/7*y = 0.
-1, 13
Let z(m) be the second derivative of 0*m**2 + 0 + 0*m**3 - 1/42*m**4 + 1/140*m**5 - 4*m. Factor z(r).
r**2*(r - 2)/7
Let p(l) = 13*l**3 - l**2 + 5*l - 8. Let g(s) = 3*s**3 + s - 2. Let r = -3 - -7. Let m(j) = r*p(j) - 18*g(j). Solve m(w) = 0 for w.
-2, -1, 1
Suppose -10 = -6*h + 2. Let k(o) be the third derivative of 1/40*o**6 + 7/8*o**4 + 0*o + 2*o**h + 0 - 3/2*o**3 - 1/4*o**5. Factor k(c).
3*(c - 3)*(c - 1)**2
Find f, given that 8*f - 2*f**3 + 4*f**2 + 19*f + 7 + 28 + 13 + 13*f = 0.
-2, 6
Factor -114/13*p + 0 - 2/13*p**2.
-2*p*(p + 57)/13
Suppose 0 = -123*l - 0*l. Let m(t) be the first derivative of -3 + 0*t**2 - 9/4*t**3 + l*t - 3/20*t**5 + 9/8*t**4. Factor m(a).
-3*a**2*(a - 3)**2/4
Let c(n) be the first derivative of -2/3*n**3 + 0*n - 6 + 1/60*n**5 + 0*n**4 - 3/2*n**2. Let j(k) be the second derivative of c(k). Solve j(m) = 0 for m.
-2, 2
Solve -3*m + 4*m**4 - 52*m**5 + 82*m**5 + 10*m**3 - 4*m**2 - 40*m**5 + 3*m = 0.
-1, 0, 2/5, 1
Let i(q) = 4*q**2 - 114*q - 1812. Let b(j) = j**2 + j - 2. Let n(y) = -6*b(y) + i(y). Factor n(r).
-2*(r + 30)**2
Let a(b) be the third derivative of 1/8*b**4 + 0 - 1/20*b**5 + b**3 + 0*b + 2*b**2. Factor a(n).
-3*(n - 2)*(n + 1)
Suppose -52*f + 4*j = -55*f - 20, 0 = -f - 4*j - 20. Let t(y) be the third derivative of -6*y**3 + f + y**2 - 1/15*y**5 + 0*y + y**4. Let t(a) = 0. Calculate a.
3
Let s(x) be the third derivative of 0*x - 1/60*x**5 + 1/6*x**3 + 10*x**2 - 1/120*x**6 + 0 + 1/24*x**4. Factor s(k).
-(k - 1)*(k + 1)**2
Let z(k) be the first derivative of -k**5/15 - 3*k**4/2 - 32*k**3/3 - 64*k**2/3 - 146. Factor z(y).
-y*(y + 2)*(y + 8)**2/3
Suppose 74*q - 23*q + 243 - 396 = 0. Find u such that -1/3 - 1/3*u**4 + 0*u + 0*u**q + 2/3*u**2 = 0.
-1, 1
Let l(p) be the first derivative of 2*p**4 - 4/3*p**3 + 0*p + 10 - 4/5*p**5 + 0*p**2. Factor l(s).
-4*s**2*(s - 1)**2
Let s(w) be the first derivative of 2*w**3/63 - 212*w**2/21 + 22472*w/21 - 249. Let s(j) = 0. Calculate j.
106
Let h(m) be the second derivative of -9*m**5/200 + 49*m**4/120 + 29*m**3/30 - 34*m. Factor h(q).
-q*(q + 1)*(9*q - 58)/10
Let o(z) be the second derivative of z**6/135 - z**5/20 + z**4/18 - 8*z**3/3 + 15*z. Let l(g) be the second derivative of o(g). Factor l(h).
2*(h - 2)*(4*h - 1)/3
Let h(s) be the second derivative of -s**5/35 + 31*s**4/21 - 170*s**3/7 + 450*s**2/7 - 607*s. Factor h(t).
-4*(t - 15)**2*(t - 1)/7
Factor -2/3*k**3 - 5/2 + 37/6*k - 2*k**2.
-(k + 5)*(2*k - 3)*(2*k - 1)/6
Let x = 1 + 1. Let g(z) = 5*z**2 + 28*z + 27. Let q(i) = -20*i**2 - 111*i - 109. Let m(n) = x*q(n) + 9*g(n). Let m(r) = 0. What is r?
-5, -1
Let t(a) = -11*a - 12. Let g be t(-6). Let o = g - 51. Factor 9/5 - 3/5*y**3 + o*y + 3/5*y**2.
-3*(y - 3)*(y + 1)**2/5
Let r be 324/20 + 4/(-20) - 1. Suppose -l - 4*g + 2*g = -10, 3*g = 4*l + r. Factor -2/9*y**5 - 2/9*y + 4/9*y**3 + 0*y**4 + 0 + l*y**2.
-2*y*(y - 1)**2*(y + 1)**2/9
Let a = -13226/7875 - 4/7875. Let b = 141/50 - a. Let 11/2*m**4 - 2 - 7/2*m**2 - 3/2*m**5 + 6*m - b*m**3 = 0. Calculate m.
-1, 2/3, 1, 2
Let j(h) be the first derivative of -h**5/15 - h**4 - 27*h**2/2 - 38. Let p(z) be the second derivative of j(z). Factor p(u).
-4*u*(u + 6)
Let o(s) = 30*s - 117. Let p be o(4). Let k(m) be the second derivative of 0 + 1/2*m**p - 5*m + 1/4*m**4 - 3*m**2. Suppose k(y) = 0. What is y?
-2, 1
Suppose -4*q = 5*i - 5, 3*q + 4 = -q + 4*i. Let m(k) be the second derivative of q - 3/4*k**5 + 5*k - k**3 + 0*k**2 - 7/4*k**4. What is w in m(w) = 0?
-1, -2/5, 0
Let l(s) = -s**2 - s - 1. Let j(u) = u**3 + 3*u**2 - u + 3. Let v(m) = 5*j(m) + 15*l(m). Suppose v(x) = 0. Calculate x.
-2, 0, 2
Factor -2707*r**3 + 2*r**4 - 85*r - 30 - 75*r**2 + 2692*r**3 + 3*r**4.
5*(r - 6)*(r + 1)**3
Let x(l) be the first derivative of -2*l**6/3 - 11*l**5/5 - 9*l**4/4 - l**3/3 + l**2/2 - 135. Factor x(c).
-c*(c + 1)**3*(4*c - 1)
Factor -16*c + 2*c**4 + 20*c - 34*c**3 + 42*c**3 + 10*c**2.
2*c*(c + 1)**2*(c + 2)
Suppose 2*u = 2*x + 6, 4*u - 11 + 1 = 5*x. Factor -18/5*p**x + 3/5*p + 8/5*p**3 + 2/5.
(p - 2)*(2*p - 1)*(4*p + 1)/5
Let m be (1 - 2*3) + (-3875)/(-465). Suppose -8/3 + m*y + y**2 = 0. Calculate y.
-4, 2/3
Let t(d) be the first derivative of -1/2*d**4 - 1/15*d**6 + 8/25*d**5 - 2 + 0*d**2 + 0*d + 4/15*d**3. Suppose t(i) = 0. Calculate i.
0, 1, 2
Let b = 11532 + -11532. Factor 0*r + b - 3/2*r**2.
-3*r**2/2
Let u(v) = 72*v**4 + 232*v**3 - 432*v**2 + 20*v + 84. Let w(t) = t**4 + t**2 - t + 1. Let f(i) = u(i) + 12*w(i). Solve f(x) = 0 for x.
-4, -3/7, 2/3, 1
Let b(g) be the third derivative of g**10/30240 - g**9/3024 + g**8/1008 - g**5/60 - 4*g**2. Let z(r) be the third derivative of b(r). Factor z(o).
5*o**2*(o - 2)**2
Let w(a) be the first derivative of -52/9*a**2 + 22/9*a**3 + 7/18*a**4 + 8/3*a + 33. Factor w(k).
2*(k - 1)*(k + 6)*(7*k - 2)/9
Let h(d) be the third derivative of d**5/45 + d**4/9 + d**2 + 2*d. Factor h(z).
4*z*(z + 2)/3
Let f(z) be the first derivative of z**7/1400 + z**6/150 + z**5/50 - 17*z**3/3 + 20. Let w(x) be the third derivative of f(x). Factor w(k).
3*k*(k + 2)**2/5
Let k(z) be the third derivative of z**8/84 + 16*z**7/105 + 23*z**6/30 + 28*z**5/15 + 2*z**4 - 239*z**2. Factor k(t).
4*t*(t + 1)*(t + 2)**2*(t + 3)
Let z(y) = -y**2 + 7*y - 4. Let q be z(3). Suppose -q*s + 20 = -3*s. Suppose -2*m - 2*m**3 + 6*m**s - 6*m**4 + m**5 + 3*m = 0. Calculate m.
-1, 0, 1
Let o(l) be the first derivative of 4/5*l**5 - 8*l**2 + 0*l + 20 + 12*l**3 - 6*l**4. Find x, given that o(x) = 0.
0, 1, 4
Factor -120/19*p**2 + 2/19*p**4 + 124/19*p + 36/19*p**3 - 42/19.
2*(p - 1)**3*(p + 21)/19
Let v be (180/75 + (-9)/((-18)/(-4)))*2. Factor -8/5*d**3 - 4/5*d**4 + v*d**2 + 8/5*d + 0.
-4*d*(d - 1)*(d + 1)*(d + 2)/5
What is t in -1/3*t**4 + 16/3*t + 0 - 1/6*t**5 + 20/3*t**2 + 2*t**3 = 0?
-2, 0, 4
Let w = 86/15 + -253/45. Let o(j) be the first derivative of -1/18*j**4 - 10 - 2/27*j**3 + 2/9*j + w*j**2. What is s in o(s) = 0?
-1, 1
Let k = 614 - 611. Find p such that 3/5*p**3 - 9/5 - k*p - 3/5*p**2 = 0.
-1, 3
Suppose -4*v + 4 = 380*b - 376*b, -5*v + 5 = 0. Factor -1/3*t**3 + 0*t + 4/3*t**5 + b - t**4 + 0*t**2.
t**3*(t - 1)*(4*t + 1)/3
Suppose -j = -8*j - 56. Let d be (1 - -2) + (j - -7). Find f such that -1/3 + 5/2*f**d + 7/6*f**4 - 1/6*f - 19/6*f**3 = 0.
-2/7, 1
Let n(j) be the third derivative of 10*j**2 + 1/150*j**5 + 0 + 2/45*j**4 + 4/45*j**3 + 0*j. Factor n(t).
2*(t + 2)*(3*t + 2)/15
Let m(t) be the third derivative of -1/80*t**5 - 1/16*t**4 + 12*t**2 + 0*t**3 + 0*t + 0. Factor m(v).
-3*v*(v + 2)/4
Suppose 134*t**3 - 261*t**3 - 140 - 15*t**2 - 120*t + 132*t**3 = 0. Calculate t.
-2, 7
Factor -1/3*t**4 - 97/3*t**2 - 48*t - 6*t**3 - 64/3.
-(t + 1)**2*(t + 8)**2/3
Let w be (-15)/(90/(-12))*-8*(-7)/56.