**5/30 - 488*l**4/3 + 952576*l**3/3 + 2*l**2 - 5*l + 76. Factor u(r).
2*(r - 976)**2
Let o be (-770)/(-8) - (-10)/(-8). Determine j, given that 12*j**2 + o*j + 18 - 96 - 92 - 17*j**2 = 0.
2, 17
Let g be (-5)/(-10)*(-4)/10*(-210)/168. Factor 1/8*s**2 + g - 3/8*s.
(s - 2)*(s - 1)/8
Let j(c) be the third derivative of -11/39*c**4 + 0*c + 484/39*c**3 + 2 + 1/390*c**5 + 4*c**2. Factor j(z).
2*(z - 22)**2/13
Let i be (4/64)/((-1260)/(-96)). Let u(x) be the third derivative of -1/24*x**4 - 1/20*x**5 - i*x**7 + 0 - 19*x**2 + 0*x + 0*x**3 - 1/40*x**6. Factor u(h).
-h*(h + 1)**3
Let y = 279 - 274. Factor y*g**3 - 30*g**3 - 24*g**2 + g**5 - 3*g**3 + 3*g**5.
4*g**2*(g - 3)*(g + 1)*(g + 2)
Let y(c) be the second derivative of 0 + 0*c**2 - 1/18*c**4 + 2/3*c**3 - 35*c. Solve y(q) = 0 for q.
0, 6
Let f(i) = -i**3 + i**2 - 6*i + 6. Let o be f(2). Let d be (-60)/25*o/4. Factor 26*m**2 - 30*m**2 - 5*m + 4*m**3 - 2*m**4 + m + d*m**4.
4*m*(m - 1)*(m + 1)**2
Let v be (-3)/84*-234 - 15/6 - (-1)/7. Factor -v + 2/3*s**2 - 6*s + 2/3*s**3.
2*(s - 3)*(s + 1)*(s + 3)/3
Factor -144150 - 3/2*v**2 + 930*v.
-3*(v - 310)**2/2
Let d(b) = -55*b**2 + 7*b + 40. Let m(g) = -36*g**2 + 5*g + 26. Let o = -301 + 296. Let w(q) = o*d(q) + 8*m(q). Determine r so that w(r) = 0.
-8/13, 1
Suppose 0 = 6*s + 73 - 37. Let v be (-1)/s + (-21)/315. Factor 0*d + 1/10*d**4 + v + 0*d**3 - 1/5*d**2.
(d - 1)**2*(d + 1)**2/10
Suppose -6*o + o - i + 1 = 0, 3*o = i - 1. Factor -10*b + 7*b + 39*b + 2*b**5 + 30*b**2 + o*b**5 - 14*b**3 - 6*b**4.
2*b*(b - 3)**2*(b + 1)*(b + 2)
Suppose -4*u = -5*h - 13, -h - 4*u - 17 = -0*u. Let g be ((-80)/24 + 3)/(h/6). Determine n so that 4/5*n**2 - g*n + 0 - 2/5*n**3 = 0.
0, 1
Let w be (-144)/(4 + -13) + -3*1. Factor 3*m**4 + 0*m - 4*m**4 - w*m - 11*m**3 + 25*m**2.
-m*(m - 1)**2*(m + 13)
Let g(t) = 1379*t - 66144. Let c be g(48). Factor c*h**2 - 8*h**3 + 1/3*h**4 + 0 + 0*h.
h**2*(h - 12)**2/3
Suppose 3*a = 4 + 8. Suppose -10 - 71 = -27*v. Determine s so that -4*s**3 + 8 + s**a + 6*s + 0*s**4 - 2*s + v*s**4 - 12*s**2 = 0.
-1, 1, 2
Let n(s) be the first derivative of -s**4/2 - s - 166. Let v(m) = -35*m**3 + 20*m**2 - 25*m - 20. Let a(k) = -20*n(k) + v(k). Solve a(c) = 0 for c.
-5, 0, 1
Factor 2/3*t**2 + 381938/3 - 1748/3*t.
2*(t - 437)**2/3
Suppose -960*u = -952*u - 280. Factor 2*g**2 - 77*g + 17*g + 4*g - u - 85.
2*(g - 30)*(g + 2)
Let i = -4903 + 4906. Determine b, given that -i*b - 3 + 9/4*b**2 + 3*b**3 + 3/4*b**4 = 0.
-2, -1, 1
Solve 0*m + 154/19*m**3 + 0 - 2/19*m**5 - 8*m**4 + 0*m**2 = 0.
-77, 0, 1
Let u(c) = 33*c - 13. Let z be u(0). Let f be z/(234/(-4))*60. Factor f*n**2 - 12*n**3 + 0 + 14/3*n**4 - 16/3*n - 2/3*n**5.
-2*n*(n - 2)**3*(n - 1)/3
Let q(d) be the first derivative of d**5/5 + 17*d**4/16 - 17*d**2/8 - d + 151. Solve q(v) = 0 for v.
-4, -1, -1/4, 1
Let p(a) = -4*a**3 + a + 1. Let f be p(-1). Suppose -h + 1 = 5*y, -17 = -3*h + 3*y + f. Factor u**2 - 9/2 - 2*u**3 + h*u - 1/2*u**4.
-(u - 1)**2*(u + 3)**2/2
Let l(y) be the third derivative of -2*y**7/315 - 2*y**6/45 + y**5/15 + 5*y**4/9 - 16*y**3/9 + y**2 + 266. Determine f, given that l(f) = 0.
-4, -2, 1
What is b in -5*b**5 - 50*b**4 + 5*b + 24*b**4 + 19*b**4 - 5*b + 8*b**3 + 4*b**2 = 0?
-2, -2/5, 0, 1
Determine v so that -16 + 3/7*v**2 + 166/7*v = 0.
-56, 2/3
Let k(i) be the first derivative of 5*i**3/3 - 405*i + 872. Determine r so that k(r) = 0.
-9, 9
Suppose 40*o = -5922 - 1678. Let n be (-20)/o - 310/(-665). Solve 4/7*b**2 + 0*b - n = 0.
-1, 1
Let t(s) = 3*s**2 - 4263*s - 4374. Let p(r) = -7*r**2 + 8527*r + 8768. Let g(v) = -6*p(v) - 13*t(v). Solve g(l) = 0.
-1418, -1
Solve 1/2*k**3 + 0*k + 0 - 11/2*k**2 = 0.
0, 11
Let h(p) be the third derivative of 0 - 1/126*p**7 + 0*p**3 + 1/36*p**6 + 34*p**2 + 0*p + 0*p**4 - 1/36*p**5. Solve h(u) = 0 for u.
0, 1
Let j(f) = -475*f - 3319. Let s be j(-7). Let c(g) be the first derivative of 29 + 0*g - 4/5*g**5 + 0*g**2 - 32/3*g**3 + s*g**4. Factor c(a).
-4*a**2*(a - 4)*(a - 2)
Let j be ((-120)/(-182))/((-4140)/(-4830)). Factor j*v**2 + 6/13 + 2/13*v**3 + 14/13*v.
2*(v + 1)**2*(v + 3)/13
Let a(q) = 2*q**3 + q**2 + q - 2. Let b(f) = -12*f**3 - 17*f**2 - 3*f - 2. Let x(o) = a(o) - b(o). Suppose x(u) = 0. Calculate u.
-1, -2/7, 0
Let s(a) = a**3 - a**2 + 2*a - 1. Let p(l) = -7*l**3 + 17*l**2 - 10*l + 5. Let d be 75/3*(-4)/(-60)*-6. Let w(u) = d*s(u) - 2*p(u). Factor w(h).
4*h**2*(h - 6)
Factor 125*x**5 - 139*x**4 + 395*x**3 + 14*x**4 - 135*x**5 - 185*x**3.
-5*x**3*(x + 14)*(2*x - 3)
Let m(c) = -3*c**3 + 14*c**2 + 25*c - 66. Let x be m(8). Let p = x + 508. Solve 3/2*i**3 - p*i + 0*i**2 - 1/2*i**4 + 0 = 0.
-1, 0, 2
Factor 1200 + 2237977*h**2 - 2237972*h**2 + 229*h - 59*h.
5*(h + 10)*(h + 24)
Let b = 1774 + -8868/5. Factor -b*h**3 - 8/5*h**2 - 2*h - 4/5.
-2*(h + 1)**2*(h + 2)/5
Factor -18769/7 - 1/7*s**2 + 274/7*s.
-(s - 137)**2/7
Determine r, given that 3*r**3 - 99*r**2 - 3094 + 1834 + 1080*r - 2640 = 0.
10, 13
Suppose -4*b = 5*c - 20, b = c + 1 - 5. Let z be c + (-2)/(-3) + (-4)/6. Solve -24*h**z - 36*h + 36*h**3 + 17*h**4 + 12 + 3*h**2 - 8*h**4 + 0*h = 0.
-1, 2/5, 1, 2
Let o(p) be the first derivative of -1/14*p**4 - 18/7*p + 133 - 15/7*p**2 - 2/3*p**3. Factor o(d).
-2*(d + 1)*(d + 3)**2/7
Factor -1/4*m**3 + 129/4*m**2 + 0*m + 0.
-m**2*(m - 129)/4
Let s = 7 + -5. Factor -6*y**3 - 58*y**2 - 240*y + 320 + y**3 - 17*y**s.
-5*(y - 1)*(y + 8)**2
Suppose -2*x = i - 2, -7*x + 2*i + 17 = -4*x. Suppose -v - 6 = -o, -2*o = 2*o + v - 4. Factor -x*h + 9*h - o*h + h**2 - 3*h**2.
-2*h*(h - 2)
Let z(m) = 22*m**4 - 98*m**3 + 356*m**2 + 784*m. Let n(j) = 4*j**4 - 19*j**3 + 71*j**2 + 157*j. Let r(f) = -16*n(f) + 3*z(f). Factor r(d).
2*d*(d - 5)*(d + 2)*(d + 8)
Let 960*w**2 + 133/5*w**4 - 3/5*w**5 + 0 - 342*w**3 + 800*w = 0. Calculate w.
-2/3, 0, 5, 20
Find w such that 113/8*w**3 - 1/8*w**4 + 233/8*w**2 + 0 - 345/8*w = 0.
-3, 0, 1, 115
Let m be ((-68)/8)/((-3)/(12/2)). Let k = m + -12. Solve -2*a + 21*a - 8 - a**3 - k*a + 3*a**2 - 8*a = 0.
-2, 1, 4
Let g be (-42)/(-140)*(-19250)/630*(-6)/10. Factor g*z + 0 + 1/4*z**2.
z*(z + 22)/4
Let o(c) = -11*c**2 + 11*c + 346. Let v(u) = 13*u**2 - 13*u - 350. Let z(g) = 5*o(g) + 4*v(g). Factor z(d).
-3*(d - 11)*(d + 10)
Let o = -358171/18 + 39799/2. Solve o*t**2 - 16/9*t - 2/9*t**3 + 8/9 = 0.
1, 2
Solve -31/4*d**4 - 3/2*d**5 + 0 - 8*d**2 - d - 53/4*d**3 = 0.
-2, -1, -1/6, 0
Let v = 7408 - 44323/6. Let b(i) be the third derivative of v*i**3 + 0 + 0*i + 15*i**2 + 25/12*i**4 + 1/12*i**5. Determine y so that b(y) = 0.
-5
Let s(m) be the third derivative of -5*m**8/672 + 9*m**7/14 + 57*m**6/16 - 20*m**2 - 2*m - 10. Factor s(t).
-5*t**3*(t - 57)*(t + 3)/2
Let y = -116911/2 - -58460. Factor 0*l - 3*l**3 + 0 + 0*l**2 + 21/2*l**4 - y*l**5.
-3*l**3*(l - 2)*(3*l - 1)/2
Let y(h) be the second derivative of h**4/48 - 211*h**3/24 - 121*h + 2. Factor y(a).
a*(a - 211)/4
Let r(w) = w**2 + 3*w - 1. Let b be r(1). Factor 239*v**3 + 36*v**4 + 239*v**3 + 4*v**4 - 458*v**b + 15*v**5.
5*v**3*(v + 2)*(3*v + 2)
Suppose -5*x - 10 = 5*k, -14 = 3*x - k + 8. Let n(h) = -h**3 - 3*h**2 + 17*h - 3. Let m be n(x). Factor -c**4 - m*c**5 + 3*c**5 + 9*c**4 - 4*c**5.
-4*c**4*(c - 2)
Let p(j) be the third derivative of j**6/180 + 149*j**5/180 - 227*j**4/72 + 38*j**3/9 - 128*j**2. Factor p(b).
(b - 1)*(b + 76)*(2*b - 1)/3
Let f(b) = 2*b + 6. Let a be f(-2). Find c, given that -5*c**a + c**5 - 409 + 409 - 3*c**4 - 9*c**3 = 0.
-1, 0, 5
Suppose 4*t + 22 = -8*t + 250. Let l(s) be the second derivative of -1/3*s**4 + 0*s**2 + 0 + t*s + 2/3*s**3. Determine z, given that l(z) = 0.
0, 1
Let r be (-3)/(6/8)*(-28)/224. Let 0 - 9/2*j + r*j**3 + 4*j**2 = 0. What is j?
-9, 0, 1
Suppose -k = 32*o - 37*o - 23, -5*o - 20 = 0. Factor 0*h**2 + 69*h**4 - 68*h**4 + h**2 + 2*h**2 + 5*h**k - 5*h - 4.
(h - 1)*(h + 1)**2*(h + 4)
Let l(a) be the third derivative of 13*a**7/21 - 497*a**6/30 + 157*a**5/30 + 469*a**4/3 + 220*a**3 + 2*a**2 + 20*a + 73. Suppose l(d) = 0. Calculate d.
-1, -2/5, 22/13, 15
Let h be 10/(-4*(-8)/(-16)). Let o(m) = -61*m**2 - 347*m - 60. Let s(c) = -153*c**2 - 867*c - 150. Let r(q) = h*s(q) + 12*o(q). Solve r(f) = 0 for f.
-5, -2/11
Let d(w) = 2*w**2 - 359*w + 5086. Let v be d(164). Find s, given that 5/6*s**3 - 20/3*s**v - 15 + 35/2*s = 0.
2, 3
Let o(n) be the second derivative of 0 + 1/