+ 425*j**3 + 1810*j**2 + 2135*j. Let z(v) = -25*c(v) + 4*i(v). Solve z(u) = 0 for u.
-9, -4, -2, 0
Factor 2402981 + 10106311 - 2901*w**2 + 12252*w + 2904*w**2.
3*(w + 2042)**2
Let o(h) be the second derivative of 2*h**6/9 + 379*h**5/30 + 1786*h**4/9 - 361*h**3/9 - 2*h - 4196. Factor o(d).
2*d*(d + 19)**2*(10*d - 1)/3
Let h(z) be the third derivative of -z**8/20160 - z**7/420 + 313*z**5/60 + 21*z**2. Let c(f) be the third derivative of h(f). Factor c(u).
-u*(u + 12)
Factor -917 + 39*t - 513 + 2*t**2 - 175*t - 4*t**2.
-2*(t + 13)*(t + 55)
Factor 4/3*y**2 + 6180196/3 + 9944/3*y.
4*(y + 1243)**2/3
Let a(h) be the first derivative of -4/3*h**3 - 29 - 5/2*h**4 + 20*h + 4/5*h**2. Let p(g) be the first derivative of a(g). Factor p(o).
-2*(5*o + 2)*(15*o - 2)/5
Let t(p) = 3*p**3 + 112*p**2 - 255*p - 356. Let l(h) = -21*h**3 - 783*h**2 + 1788*h + 2490. Let x(k) = -2*l(k) - 15*t(k). Factor x(y).
-3*(y - 3)*(y + 1)*(y + 40)
Let j(v) be the third derivative of v**6/1020 - 53*v**5/510 + 20*v**4/17 + v**2 + 104*v - 22. Determine o so that j(o) = 0.
0, 5, 48
Find v such that 154096 - 9670*v - 5*v**2 + 0*v**2 - 2227779 - 2601762 = 0.
-967
Let q be 1/4 + (-17)/(-68). Let l(m) be the first derivative of 0*m**2 + 0*m - 4 - q*m**4 + 4/3*m**3. Find g, given that l(g) = 0.
0, 2
Let i(k) be the first derivative of -5*k**4/2 - 143*k**3/9 - 47*k**2/3 - 8*k/3 + 198. Find h such that i(h) = 0.
-4, -2/3, -1/10
Let f(p) be the third derivative of -p**7/1575 - 61*p**6/1800 - p**5/20 - 17*p**4/24 - 72*p**2. Let t(u) be the second derivative of f(u). Factor t(b).
-2*(b + 15)*(4*b + 1)/5
Suppose -11 + 18 = 85*u - 84*u. Let g(w) be the third derivative of 8/15*w**5 + 0 + 0*w**3 + 2/3*w**4 + 0*w + 2/105*w**u - 17*w**2 + 1/6*w**6. Factor g(q).
4*q*(q + 1)*(q + 2)**2
Let q = 1/34227 - -228179/34227. Factor 5/3*w**4 - 1/6*w**5 + 1 - 5*w**3 - 25/6*w + q*w**2.
-(w - 6)*(w - 1)**4/6
Let q(l) be the second derivative of 2*l**5/75 - l**4/12 + l**3/15 + 49*l**2 + 93*l. Let h(k) be the first derivative of q(k). Factor h(o).
2*(o - 1)*(4*o - 1)/5
Let j be ((-6)/(-9))/(8/60). Factor 3*g**2 + 6*g**4 + j - 7*g**2 + 8*g - 8*g**3 - 7.
2*(g - 1)**2*(g + 1)*(3*g - 1)
Suppose 6*j = -10*j - 8640. Let n be 10*((-408)/j)/17. Factor 4/3*m + 0 - 8/9*m**3 + n*m**2.
-4*m*(m + 1)*(2*m - 3)/9
Let s = -12244 - -12274. Let j(g) be the first derivative of 450*g**2 - 5 - s*g**3 - 3000*g + 3/4*g**4. Factor j(l).
3*(l - 10)**3
Let x = 343389 - 686771/2. Factor -x*u + 1/2*u**2 + 6.
(u - 4)*(u - 3)/2
Let y be (-9)/(27/6)*5/(-2). Let j(v) = 4*v**2 + 84*v - 176. Let m(n) = 4*n**2 + 85*n - 176. Let a(q) = y*j(q) - 4*m(q). Factor a(p).
4*(p - 2)*(p + 22)
Suppose -7*a - 12 = -10*a. Suppose 0 = -2*n + a*n - 8. Factor -n + 4*r**2 + 4*r + 10 - 8*r - 6*r**2.
-2*(r - 1)*(r + 3)
Let a(o) be the first derivative of -200/3*o**3 + 90*o**2 + 38 + 65/4*o**4 - o**5 + 0*o. Factor a(u).
-5*u*(u - 9)*(u - 2)**2
Let l(z) be the second derivative of z**7/21 + 7*z**6/5 + 43*z**5/5 + 46*z**4/3 - 24*z**3 - 128*z**2 + 39*z + 19. Factor l(k).
2*(k - 1)*(k + 2)**3*(k + 16)
Let r be (-4)/14*28 - (-3 - 9). Let h(l) be the second derivative of 0 - 10*l + 5/9*l**3 + 1/18*l**r - 2*l**2. What is a in h(a) = 0?
-6, 1
Let o(s) be the first derivative of -1/3*s**3 + 27*s**2 - 729*s + 216. Let o(f) = 0. What is f?
27
Let y be (-7)/6 - 2915/(-318). Suppose 3*q = 2*x - 1, 7*x - 1 = -2*q + y*x. Factor 3/5*k**4 - 162/5*k - 6*k**q + 108/5*k**2 + 81/5.
3*(k - 3)**3*(k - 1)/5
Determine m, given that 29455 + 3465*m + 0*m**2 - 29455 + 5*m**2 = 0.
-693, 0
Factor -1 + 5/4*f**3 - 1/4*f**2 - 1/4*f**5 - 2*f + 1/4*f**4.
-(f - 2)**2*(f + 1)**3/4
Suppose 0 = j + l + 20, 2*l - 2 + 0 = 0. Let p be 22/j - 92/(-69). Factor 6/7*n**2 + 8/7*n - p*n**3 + 0.
-2*n*(n - 4)*(n + 1)/7
Let q(r) be the second derivative of -r**5/210 - r**4/42 + r**3/7 - 21*r**2/2 + 28*r. Let b(m) be the first derivative of q(m). Factor b(a).
-2*(a - 1)*(a + 3)/7
Solve 12/5*j**5 + 8*j**3 + 0*j + 0 - 68/5*j**4 + 0*j**2 = 0.
0, 2/3, 5
Let n(p) be the first derivative of 25*p**4/4 - 845*p**3 + 33000*p**2 - 87500*p + 3405. Factor n(l).
5*(l - 50)**2*(5*l - 7)
Let f = -98195 - -98197. Factor 16/5 - 2*j + 1/5*j**f.
(j - 8)*(j - 2)/5
Let l(g) be the third derivative of 0*g + 2/245*g**7 - 13/420*g**6 + 0*g**3 - 1/21*g**4 - 1/1176*g**8 + 55*g**2 + 2/35*g**5 + 0. Let l(o) = 0. What is o?
0, 1, 2
Find r, given that 384*r + 0*r**2 - 3/2*r**3 + 0 = 0.
-16, 0, 16
Let k(x) be the second derivative of -5*x**7/168 + 7*x**6/12 - 9*x**5/4 + 85*x**4/24 - 55*x**3/24 + 2603*x + 2. Factor k(j).
-5*j*(j - 11)*(j - 1)**3/4
Let r(z) be the third derivative of -12*z**2 - 2/15*z**5 - 1/6*z**3 + 0*z - 1/360*z**6 - 8/3*z**4 + 0. Let d(t) be the first derivative of r(t). Factor d(s).
-(s + 8)**2
Let u(p) be the first derivative of -23*p**3/6 - 275*p**2/2 + 24*p + 13572. Factor u(r).
-(r + 24)*(23*r - 2)/2
Let y(t) be the second derivative of 1/75*t**6 + 0*t**2 - 8/5*t**3 - 1/25*t**5 - 2/3*t**4 - 41*t + 0. Factor y(v).
2*v*(v - 6)*(v + 2)**2/5
Let l(b) be the first derivative of -b**4/16 - 3*b**3/4 - 139*b + 215. Let m(h) be the first derivative of l(h). Solve m(w) = 0.
-6, 0
Factor 705 + 2825/2*n + 5/2*n**3 + 710*n**2.
5*(n + 1)**2*(n + 282)/2
Let i(h) be the first derivative of -2/7*h**2 + 0*h + 54 + 2/21*h**3. Solve i(x) = 0 for x.
0, 2
Let d(m) be the first derivative of -208 - 2421*m**3 + 2*m**4 - 4*m**4 + 7*m**4 + m**5 + 2401*m**3 + 16. Determine t so that d(t) = 0.
-6, 0, 2
Let a = 258131/107565 - -5/21513. Solve -2/5*g**3 + a*g**2 - 18/5*g + 8/5 = 0 for g.
1, 4
Let d be 32*31/744 + ((-2)/(-7) - 444/819). Factor 0 + 6/13*t**4 + d*t**2 + 16/13*t**3 + 4/13*t.
2*t*(t + 1)**2*(3*t + 2)/13
Let b(w) = 53 + 161*w**3 - 20 - 25*w - 9*w**2 - 160*w**3. Let j be b(11). Factor 0*o**2 - 45/2*o**5 + 5*o**3 + 0*o + 35/2*o**4 + j.
-5*o**3*(o - 1)*(9*o + 2)/2
Let h(q) be the first derivative of q**5/10 + 45*q**4/8 + 11*q**3 + 3*q**2/2 - 6*q + 46. Let d(n) be the second derivative of h(n). Factor d(u).
3*(u + 22)*(2*u + 1)
Determine t, given that 13/2*t**3 + 209/6*t**2 - 1/3*t**4 + 29*t - 24 = 0.
-3, -2, 1/2, 24
Let l(g) be the first derivative of g**4/24 + 431*g**3/6 + 185761*g**2/4 + 80062991*g/6 + 3401. Suppose l(c) = 0. Calculate c.
-431
Let d(w) = -w**2 + 7*w + 2. Suppose 74 = 8*q + 18. Let l be d(q). Suppose 5*k - k**l + 63*k**4 - 5*k - 62*k**4 = 0. What is k?
-1, 0, 1
Let s be (20/(-126))/(((-3564)/(-3542) + -1)/(-1)). Factor 272/9*d + 50/9*d**3 + 32/3 + s*d**2.
2*(d + 3)*(5*d + 4)**2/9
Determine c so that -3*c - 32*c + 2080*c**2 - 12*c + 62*c = 0.
-3/416, 0
Factor 0*v - 831/2*v**2 + 0 + 551/4*v**3 + 1/4*v**4.
v**2*(v - 3)*(v + 554)/4
Let d(p) be the third derivative of -17*p**5/90 + 29*p**4/60 - 2*p**3/45 - 30*p**2 - 3*p + 1. Let d(t) = 0. Calculate t.
2/85, 1
Determine p, given that -4/5*p**3 - 172/5*p**2 + 184/5*p + 352/5 = 0.
-44, -1, 2
Let h(p) be the first derivative of p**4/22 - 50*p**3/3 + 19312*p**2/11 - 110976*p/11 - 2387. Let h(u) = 0. What is u?
3, 136
Suppose 2725 = -234*v + 3427. Factor 1/4*m**3 - v*m**2 - 27/2 + 45/4*m.
(m - 6)*(m - 3)**2/4
Let g(a) be the third derivative of 256/39*a**3 + 0 + 0*a + 1/780*a**6 - 2/65*a**5 + 0*a**4 - 181*a**2. Determine y, given that g(y) = 0.
-4, 8
Let x(n) be the third derivative of 0*n - 4 + 1159/36*n**4 - 5*n**2 + 1/60*n**6 - 58/45*n**5 - 722/9*n**3. Find m such that x(m) = 0.
2/3, 19
Let s be 0*((-780)/(-48) - 16). Let z(r) be the first derivative of 0*r**2 + s*r**3 + 1/18*r**4 - 47 + 0*r + 4/45*r**5 + 1/27*r**6. Factor z(g).
2*g**3*(g + 1)**2/9
Let k be ((-1710)/7695)/((-2)/18). Suppose -2/5*t**k + 44/5*t - 242/5 = 0. What is t?
11
Let g = 189 + -187. Let x be ((-1)/2 + 2)*2. Let -12*q**g - 2*q**3 - 12*q**3 + 12*q - 13*q**3 + 6*q**4 + 18*q**3 + x*q**5 = 0. What is q?
-2, 0, 1
Let c = 96433 - 859817/9. Let v = 898 - c. Factor 2/3*r - v*r**2 + 0.
-2*r*(r - 3)/9
Factor -1/5*u**3 - 19*u + 30 + 18/5*u**2.
-(u - 10)*(u - 5)*(u - 3)/5
Suppose -249 + 315 = 39*v - 6*v. What is o in 1/3*o**3 + 0 + 48*o + 8*o**v = 0?
-12, 0
Let x(o) be the first derivative of -o**6/2 + 204*o**5/5 - 2013*o**4/2 + 6324*o**3 - 25947*o**2/2 - 3930. Factor x(t).
-3*t*(t - 31)**2*(t - 3)**2
Suppose -60 = -4*h - 0*o + 2*o, 4*o = 4*h - 64. Suppose -20*t + 24 = -h*t. Factor 24*q**3 - t*q**4 - 20*q - 4*q**3 + 48*q -