n**4/3 + 4*n**3 - 40*n**2/3 - 100*n - 250/3.
2*(n - 5)*(n + 1)*(n + 5)**2/3
Factor 5*a**4 - 30*a**2 - 40*a - 15.
5*(a - 3)*(a + 1)**3
Factor 5*u**3/6 - 3881*u**2/3 - 4661*u/6 + 1553/3.
(u - 1553)*(u + 1)*(5*u - 2)/6
Suppose -3*l**4/2 - 9*l**3/2 + 3*l**2/2 + 9*l/2 = 0. What is l?
-3, -1, 0, 1
Solve 2*a**3 - 4*a**2/3 - 182*a/3 - 20 = 0 for a.
-5, -1/3, 6
Let 5*v**2 - 40*v - 420 = 0. Calculate v.
-6, 14
Solve 3*a**2/4 - 3570*a + 4248300 = 0.
2380
Determine z so that -4*z**3/3 + 428*z**2/3 + 144*z = 0.
-1, 0, 108
Factor 2*o**4 - 38*o**2 + 12*o + 144.
2*(o - 3)**2*(o + 2)*(o + 4)
Suppose 2*d**2 - 16*d = 0. Calculate d.
0, 8
Determine d so that -d**4/4 - 53*d**3 - 5723*d**2/2 - 5565*d - 11025/4 = 0.
-105, -1
Solve 2*o**4/21 + 10*o**3/21 + 4*o**2/21 - 16*o/21 = 0 for o.
-4, -2, 0, 1
Find c such that -144*c**4/5 - 2*c**3/5 = 0.
-1/72, 0
Factor q**4 - 9*q**2.
q**2*(q - 3)*(q + 3)
Solve -5*j**2 + 25350*j + 25355 = 0.
-1, 5071
Find y, given that -2*y**2/13 - 190*y/13 = 0.
-95, 0
Factor -5*f**4 + 102*f**3 + 695*f**2 + 876*f - 468.
-(f - 26)*(f + 3)**2*(5*f - 2)
Factor -2*u**2/3 - 8*u - 40/3.
-2*(u + 2)*(u + 10)/3
Factor 4*q**4 - 960*q**3 + 86400*q**2 - 3456000*q + 51840000.
4*(q - 60)**4
Suppose 361*g**4/2 + 323*g**3 - 74*g**2 + 4*g = 0. Calculate g.
-2, 0, 2/19
Solve 14*h**5/3 - 8*h**4 - 22*h**3/3 + 8*h**2 + 8*h/3 = 0.
-1, -2/7, 0, 1, 2
Suppose 2*w**5 - 128*w**4 - 12*w**3 + 752*w**2 + 1018*w + 384 = 0. What is w?
-1, 3, 64
Factor -2*t**2/19 + 12*t/19.
-2*t*(t - 6)/19
What is g in -2*g**4/13 + 268*g**3/13 - 9480*g**2/13 + 2500*g + 3250 = 0?
-1, 5, 65
Find g such that -24*g**4/7 + 38*g**3/7 - 18*g/7 + 4/7 = 0.
-2/3, 1/4, 1
Solve -2*x**2 + 60*x + 198 = 0.
-3, 33
Factor -n**4/3 + 691*n**3/3 - 1379*n**2/3 + 689*n/3.
-n*(n - 689)*(n - 1)**2/3
Factor -350*n**2 - 345*n + 5.
-5*(n + 1)*(70*n - 1)
Factor -y**3 + 6*y**2 - 3*y - 10.
-(y - 5)*(y - 2)*(y + 1)
Let n**3 + 92*n**2 + 181*n + 90 = 0. Calculate n.
-90, -1
Find v such that -2*v**4/13 - 14*v**3/13 - 12*v**2/13 = 0.
-6, -1, 0
Find m such that -5*m**3 - 75*m**2 - 235*m - 165 = 0.
-11, -3, -1
Suppose 28*r**5 - 104*r**4 - 116*r**3 + 480*r**2 + 144*r = 0. Calculate r.
-2, -2/7, 0, 3
Let z**5/3 - 5*z**4/3 - 7*z**3/3 + 5*z**2/3 + 2*z = 0. Calculate z.
-1, 0, 1, 6
Solve -2*u**2/11 - 4*u/11 - 2/11 = 0.
-1
Factor 15*u**4/7 - 1716*u**3/7 + 684*u**2/7.
3*u**2*(u - 114)*(5*u - 2)/7
Find f such that 2*f**5/25 + 6*f**4/25 - 4*f**3/5 - 12*f**2/5 + 18*f/25 + 54/25 = 0.
-3, -1, 1, 3
Factor -2*k**2 + 2*k + 24.
-2*(k - 4)*(k + 3)
What is i in i**5 - 7*i**4 + 6*i**3 + 28*i**2 - 40*i = 0?
-2, 0, 2, 5
Factor 4*x**5 + 452*x**4 - 920*x**3 + 8*x**2 + 916*x - 460.
4*(x - 1)**3*(x + 1)*(x + 115)
Factor -n**2/10 + 77*n/5.
-n*(n - 154)/10
Find c, given that 2*c**2/11 - 46*c/11 + 120/11 = 0.
3, 20
Factor 1279*n**2/3 - 852*n - 4/3.
(n - 2)*(1279*n + 2)/3
Let -4*q**2 - 11816*q - 8726116 = 0. Calculate q.
-1477
What is b in 3*b**2 + 486*b + 4983 = 0?
-151, -11
Find h such that -h**4/6 - 2*h**3/3 + 6*h**2 + 8*h/3 - 64/3 = 0.
-8, -2, 2, 4
Determine d, given that 2*d**3/5 - 12308*d**2/5 + 18935858*d/5 = 0.
0, 3077
Factor 2*t**3 - 17076*t**2 + 48598296*t - 46103583472.
2*(t - 2846)**3
Solve -3*r**4 - 96*r**3 + 2022*r**2 + 44640*r - 648675 = 0.
-31, 15
Solve 1640961*t**4/8 - 1646085*t**3/8 + 641*t**2 - t/2 = 0.
0, 2/1281, 1
Factor 2*m**3/13 + 8*m**2/13 - 58*m/13 + 48/13.
2*(m - 3)*(m - 1)*(m + 8)/13
Factor -3*s**2 - 174*s - 2523.
-3*(s + 29)**2
Suppose 2*l**3 - 16*l**2 - 8*l + 64 = 0. Calculate l.
-2, 2, 8
Determine g, given that 24*g**4 + 196*g**3 + 444*g**2 + 336*g + 80 = 0.
-5, -2, -2/3, -1/2
What is k in k**3/5 - 2*k**2/5 - 4*k/5 + 8/5 = 0?
-2, 2
Determine h, given that h**2/3 - 116*h/3 - 605/3 = 0.
-5, 121
Factor 5*k**2 - 150*k + 1125.
5*(k - 15)**2
Find o such that 2*o**3/7 - 220*o**2/7 + 1462*o/7 - 2060/7 = 0.
2, 5, 103
Find d, given that -3*d**3 + 1104*d**2 + 4452*d + 4464 = 0.
-2, 372
Factor 2*j**3 + 84*j**2 + 312*j + 304.
2*(j + 2)**2*(j + 38)
Suppose 2*d**2/7 + 156*d/7 + 3042/7 = 0. What is d?
-39
What is q in -3*q**3 + 18*q**2 + 45*q + 24 = 0?
-1, 8
Factor -x**5 - 5*x**4 - 4*x**3.
-x**3*(x + 1)*(x + 4)
Solve 10*v**3 + 285*v**2 - 445*v + 150 = 0.
-30, 1/2, 1
Factor k**3/3 + 139*k**2/3 - 568*k/3 + 572/3.
(k - 2)**2*(k + 143)/3
Factor 16*h**3/5 + 28*h**2/5.
4*h**2*(4*h + 7)/5
Find k such that -3*k**5/7 + 24*k**4/7 - 9*k**3 + 66*k**2/7 - 24*k/7 = 0.
0, 1, 2, 4
Factor 7*y**3/3 - 52*y**2 + 443*y/3 - 38.
(y - 19)*(y - 3)*(7*y - 2)/3
Factor o**3/5 - 3*o**2/5 + 2*o/5.
o*(o - 2)*(o - 1)/5
Determine z, given that 5*z**2 - 1755*z - 3530 = 0.
-2, 353
Solve -3*w**4 - 1212*w**3 + 4881*w**2 - 6114*w + 2448 = 0 for w.
-408, 1, 2
Factor -44*c**2 + 916*c + 168.
-4*(c - 21)*(11*c + 2)
Suppose 2*n**3 + 20*n**2 - 384*n - 4032 = 0. Calculate n.
-12, 14
Let -4*d**2 + 128*d + 132 = 0. Calculate d.
-1, 33
Factor 15*z**2/4 + 213*z/4 - 57.
3*(z - 1)*(5*z + 76)/4
Determine s, given that -s**2 + 8*s - 7 = 0.
1, 7
Determine s, given that -2*s**4 - 16*s**3 - 24*s**2 = 0.
-6, -2, 0
Factor -h**4/9 + 56*h**3/9 - 55*h**2/9.
-h**2*(h - 55)*(h - 1)/9
Factor v**3/3 - v**2 - 2*v + 8/3.
(v - 4)*(v - 1)*(v + 2)/3
Solve 3*l**2 = 0 for l.
0
Determine r so that 3*r**2 + 13578*r + 15363507 = 0.
-2263
Factor -2*x**4 - 48*x**3 - 236*x**2 + 624*x - 338.
-2*(x - 1)**2*(x + 13)**2
Suppose 4*k**2 + 60*k + 224 = 0. Calculate k.
-8, -7
Factor -2*x**4 + 256*x**3 - 5940*x**2 + 50544*x - 147258.
-2*(x - 101)*(x - 9)**3
Suppose 3*n**3/8 + 75*n**2/4 + 33*n - 144 = 0. Calculate n.
-48, -4, 2
Factor -3*i**2/2 - 6*i - 9/2.
-3*(i + 1)*(i + 3)/2
Factor -2*v**2/5 - 6*v/5 + 4.
-2*(v - 2)*(v + 5)/5
What is m in 2*m**4/7 + 338*m**3 + 931410*m**2/7 + 121387450*m/7 - 246519500/7 = 0?
-395, 2
Find k, given that 3*k**5 + 9*k**4 - 18*k**3 - 24*k**2 = 0.
-4, -1, 0, 2
Factor j**3/5 + 87*j**2/5 - 553*j/5 + 93.
(j - 5)*(j - 1)*(j + 93)/5
Factor f**4 + 48*f**3 + 414*f**2 - 3888*f + 6561.
(f - 3)**2*(f + 27)**2
Find v, given that -2*v**3/17 + 900*v**2/17 - 102144*v/17 + 200704/17 = 0.
2, 224
Factor 2*j**4/17 + 14*j**3/17 - 2*j**2/17 - 14*j/17.
2*j*(j - 1)*(j + 1)*(j + 7)/17
Determine l so that -2*l**5/3 + 2*l**4/3 + 40*l**3/3 + 32*l**2/3 - 128*l/3 - 160/3 = 0.
-2, 2, 5
Factor -4*o**4/5 + 104*o**3/5 - 368*o**2/5 + 352*o/5.
-4*o*(o - 22)*(o - 2)**2/5
Factor y**2/8 + 215*y/8 + 107/4.
(y + 1)*(y + 214)/8
Factor w**3 + 20*w**2 + 17*w - 38.
(w - 1)*(w + 2)*(w + 19)
Factor -3*l**3/5 + 24*l**2/5 - 3*l - 42/5.
-3*(l - 7)*(l - 2)*(l + 1)/5
Factor 4*i**5 + 52*i**4 + 132*i**3 + 124*i**2 + 40*i.
4*i*(i + 1)**3*(i + 10)
Find z such that 2*z**5 + 10*z**4 - 574*z**3 - 4074*z**2 - 8676*z - 5184 = 0.
-16, -3, -1, 18
Find o, given that -6*o**2/17 + 2296*o/17 - 1528/17 = 0.
2/3, 382
Factor 3*f**4 + 3*f**3 - 24*f**2 - 36*f.
3*f*(f - 3)*(f + 2)**2
Determine b, given that -2*b**4/15 + 144*b**3/5 - 9164*b**2/5 + 199712*b/15 + 6902546/5 = 0.
-21, 79
Factor 4*x**3 - 11*x**2 - 75*x - 18.
(x - 6)*(x + 3)*(4*x + 1)
Let r**2 - 120*r + 3600 = 0. What is r?
60
Suppose -n**4 - 8*n**3 + 11*n**2 + 18*n = 0. What is n?
-9, -1, 0, 2
Determine r, given that 2*r**4/9 - 490*r**3/9 + 8786*r**2/9 - 4990*r + 4068 = 0.
1, 9, 226
Let -612*a**3 - 1216*a**2 + 16*a = 0. Calculate a.
-2, 0, 2/153
What is f in 3*f**3/7 + 573*f**2/7 + 29256*f/7 + 25392 = 0?
-92, -7
What is s in -5*s**5 + 25*s**4 - 20*s**3 = 0?
0, 1, 4
Factor -2*k**5/9 - 130*k**4/9 - 500*k**3/9 - 740*k**2/9 - 490*k/9 - 122/9.
-2*(k + 1)**4*(k + 61)/9
Solve q**5 - 25*q**4 + 191*q**3 - 371*q**2 - 588*q = 0.
-1, 0, 7, 12
Factor 4*c**2/5 - 164*c/5 - 344/5.
4*(c - 43)*(c + 2)/5
Factor 3*o**3/4 - 51*o**2/4 - 57*o/2.
3*o*(o - 19)*(o + 2)/4
Determine o, given that 78*o**2/11 - 14044*o/11 + 720/11 = 0.
2/39, 180
Factor -2*u**4/13 + 1532*u**3/13 - 290298*u**2/13 - 1179640*u/13 - 1185800/13.
-2*(u - 385)**2*(u + 2)**2/13
Suppose 2*o**4/7 + 2*o**3 + 12*o**2/7 = 0. Calculate o.
-6, -1, 0
Let -s**4/8 - 3*s**3/4 - 13*s**2/8 - 3*s/2 - 1/2 = 0. What is s?
-2, -1
Factor 3*w**2 - 1926*w + 309123.
3*(w - 321)**2
Determine k, given that 3*k**2/2 + 99*k/2 - 492 = 0.
-41, 8
Factor -3*o**5/2 - 6*o**4 - 9*o**3 - 6*o**2 - 3*o/2.
-3*o*(o + 1)**4/2
Factor -4*z**3 - 1344*z**2 - 2660*z + 4008.
-4*(z - 1)*(z + 3)*(z + 334)
Factor -4*x**2 + 1176*x - 86436.
-4*(x - 147)**2
Let 3*j**3/2 - 42*j**2 + 417*j/2 + 252 = 0. Calculat