**3/3 - 39340*z**2/3 - 157336*z/3 - 157328/3 = 0.
-19666, -2
Factor m**3 + 33870*m**2 - 33871*m.
m*(m - 1)*(m + 33871)
Factor 3*t**3 + 9*t**2 - 1566*t + 5928.
3*(t - 19)*(t - 4)*(t + 26)
Factor 2*l**2/13 - 1640*l/13 + 96768/13.
2*(l - 756)*(l - 64)/13
Determine c so that 2*c**5 + 126*c**4 - 700*c**3 - 1320*c**2 + 2768*c + 3264 = 0.
-68, -2, -1, 2, 6
Solve -14*g**4/15 + 10694*g**3/5 - 18308372*g**2/15 - 5436928*g - 89617472/15 = 0 for g.
-17/7, -2, 1148
Solve 5*h**2 + 1871345*h - 1871350 = 0 for h.
-374270, 1
Factor 4*b**2 - 491120*b - 491124.
4*(b - 122781)*(b + 1)
Factor -67*r**3 + 202*r**2/3 + 401*r/3 - 2/3.
-(r - 2)*(r + 1)*(201*r - 1)/3
Suppose 4*r**2 + 1745520*r + 190427504400 = 0. Calculate r.
-218190
Let -8*m**4 + 204*m**3 - 288*m**2 = 0. What is m?
0, 3/2, 24
Find w such that w**3/3 - 418997*w**2/3 + 43889831000*w/3 - 43889412004/3 = 0.
1, 209498
Factor -w**3 - 3*w**2 + 40*w.
-w*(w - 5)*(w + 8)
Suppose t**4 + 869*t**3 - 11495*t**2 - 25593*t - 13230 = 0. What is t?
-882, -1, 15
Solve -3*j**2/5 + 1188*j/5 - 1404 = 0.
6, 390
Let -u**2 - 17912*u - 80209936 = 0. Calculate u.
-8956
Let -b**2/4 + 999*b/2 - 34668 = 0. Calculate b.
72, 1926
Factor -b**2/2 + 2205*b/2 + 111647.
-(b - 2302)*(b + 97)/2
What is d in -12*d**5 - 2236*d**4 + 10692*d**3 - 868*d**2 - 19896*d - 6112 = 0?
-191, -1, -1/3, 2, 4
Factor 4*n**2 + 8218424*n + 4221405815236.
4*(n + 1027303)**2
Solve 3*t**5 + 7*t**4 - 3111*t**3 - 21459*t**2 + 42308*t - 17748 = 0 for t.
-29, -9, 2/3, 1, 34
Factor s**3/2 + 958*s**2 + 20965*s/2 + 9525.
(s + 1)*(s + 10)*(s + 1905)/2
What is k in 4*k**4/9 - 676*k**3/9 + 1184*k**2 - 48896*k/9 + 38912/9 = 0?
1, 8, 152
Suppose 2*p**4/21 + 554*p**3/7 + 6626*p**2/21 + 394*p + 3308/21 = 0. What is p?
-827, -2, -1
Factor n**4 + 1713*n**3 + 737850*n**2 + 3636332*n - 4375896.
(n - 1)*(n + 6)*(n + 854)**2
Factor 4*s**2/3 - 2032*s/3 - 23040.
4*(s - 540)*(s + 32)/3
Determine i so that 23762*i**4/5 + 475676*i**3/5 - 1630856*i**2/5 - 30044*i/5 - 138/5 = 0.
-23, -1/109, 3
Suppose 4*r**4 - 24*r**3 - 4868*r**2 + 24*r + 4864 = 0. What is r?
-32, -1, 1, 38
Let 700*f**3 - 6988*f**2 + 17380*f + 300 = 0. Calculate f.
-3/175, 5
Suppose -3*z**3/8 + 87*z**2/2 - 9765*z/8 + 10125/2 = 0. Calculate z.
5, 36, 75
Factor -u**2 - 220892*u + 220893.
-(u - 1)*(u + 220893)
Suppose 3*x**2 - 3565284*x + 1059270833388 = 0. Calculate x.
594214
Find y such that 4*y**4/9 - 21040*y**3/9 + 7004*y**2/3 + 14024*y = 0.
-2, 0, 3, 5259
Suppose u**2/5 + 700*u - 10509/5 = 0. Calculate u.
-3503, 3
Factor -4*j**3 + 48*j**2 + 172*j + 120.
-4*(j - 15)*(j + 1)*(j + 2)
Suppose -2*c**4/5 + 108*c**3/5 + 2962*c**2/5 - 108*c/5 - 592 = 0. What is c?
-20, -1, 1, 74
Determine x, given that 5*x**3 - 55540*x**2 + 166585*x - 111050 = 0.
1, 2, 11105
Factor 4*m**2 + 612*m - 2512.
4*(m - 4)*(m + 157)
What is m in 324*m**3 + 24449292*m**2 + 461228422720*m - 461252872336 = 0?
-339578/9, 1
Factor -136*f**2/7 + 4124*f/7 - 14320/7.
-4*(f - 4)*(34*f - 895)/7
Find u, given that -5*u**4 - 460*u**3 + 616425*u**2 + 104927960*u - 105543920 = 0.
-236, 1, 379
Suppose -3*m**4 + 690*m**3 - 23484*m**2 + 44910*m - 22113 = 0. What is m?
1, 39, 189
Let w**3 + 27203*w**2 + 81600*w = 0. What is w?
-27200, -3, 0
Suppose -3*t**4/2 + 3216*t**3 + 195849*t**2/2 - 205491*t + 104352 = 0. Calculate t.
-32, 1, 2174
Suppose -3*i**5 + 39*i**4 + 468*i**3 - 2160*i**2 - 23328*i - 34992 = 0. What is i?
-6, -2, 9, 18
Factor 2*l**2 + 14488*l + 43446.
2*(l + 3)*(l + 7241)
Solve 3*y**5 + 471*y**4 + 11025*y**3 + 65109*y**2 + 99012*y + 44460 = 0.
-130, -19, -6, -1
Let 1420*m**5/9 + 21298*m**4/9 + 109310*m**3/9 + 217106*m**2/9 + 14166*m - 20 = 0. What is m?
-6, -5, -3, -1, 1/710
Find k, given that 3*k**4 - 193392*k**3 + 3116898858*k**2 - 6233217552*k + 3116512083 = 0.
1, 32231
Factor b**3 + 597*b**2 - 9*b - 5373.
(b - 3)*(b + 3)*(b + 597)
Find t such that 2*t**5/5 + 18*t**4/5 + 34*t**3/5 - 18*t**2/5 - 36*t/5 = 0.
-6, -3, -1, 0, 1
Factor 12*x**2 - 56876*x - 18960.
4*(x - 4740)*(3*x + 1)
Factor z**2 + 187187*z.
z*(z + 187187)
Let -2*t**5/5 - 36484*t**4/5 + 72976*t**3/5 = 0. What is t?
-18244, 0, 2
Determine l so that 3*l**3 - 378*l**2 - 9768*l = 0.
-22, 0, 148
Determine q so that -98*q**5 + 9450*q**4 - 203120*q**3 + 1206960*q**2 + 740320*q + 108192 = 0.
-2/7, 14, 69
Let 2*t**2 + 80138*t + 80136 = 0. What is t?
-40068, -1
Find v such that -3*v**5/4 - 1069*v**4/4 - 91907*v**3/4 - 210427*v**2/4 - 74697*v/2 - 7452 = 0.
-216, -138, -1, -1/3
Solve v**2/10 - 1177*v/5 + 21024/5 = 0.
18, 2336
Suppose 8*d**4/9 + 170*d**3/9 - 562*d**2/3 + 3280*d/9 + 928/9 = 0. What is d?
-29, -1/4, 4
Let 2*d**4/15 + 148*d**3 - 17954*d**2/15 - 24596*d/5 = 0. What is d?
-1118, -3, 0, 11
What is y in -3*y**5/7 - 285*y**4/7 + 873*y**3/7 - 879*y**2/7 + 42*y = 0?
-98, 0, 1
Factor -a**4/7 - 15*a**3/7 + 22*a**2.
-a**2*(a - 7)*(a + 22)/7
What is u in -2735*u**4 + 27330*u**3 - 68175*u**2 - 500*u = 0?
-4/547, 0, 5
Suppose -5*a**2 + 9565*a - 47700 = 0. Calculate a.
5, 1908
Solve -l**2/3 + 3904*l - 11430912 = 0 for l.
5856
Determine l so that 2*l**4/9 + 16*l**3/9 - 6*l**2 - 148*l/9 - 80/9 = 0.
-10, -1, 4
Let b**4/3 + 138*b**3 - 66805*b**2 + 17394100*b/3 = 0. Calculate b.
-724, 0, 155
What is m in -4*m**2 - 777668*m - 777664 = 0?
-194416, -1
Factor 2*v**3 - 6378*v**2 + 19108*v + 25488.
2*(v - 3186)*(v - 4)*(v + 1)
Suppose -11*g**5/6 - 142*g**4/3 + 7946*g**3/3 + 67376*g**2/3 + 128288*g/3 - 25600/3 = 0. What is g?
-50, -4, 2/11, 32
Suppose -x**2 - 5077*x - 5076 = 0. Calculate x.
-5076, -1
Suppose -4*x**3 + 3172*x**2 - 12576*x - 37872 = 0. Calculate x.
-2, 6, 789
Suppose 4*i**3 - 9344*i**2 + 1813760*i - 92065792 = 0. What is i?
104, 2128
Factor -c**3/3 + 137*c**2/3 - 1280*c/3 - 27500/3.
-(c - 125)*(c - 22)*(c + 10)/3
Let -5*y**2 - 105630*y - 557884845 = 0. What is y?
-10563
Factor -b**3/9 - 309*b**2 - 926*b/3 + 5560/9.
-(b - 1)*(b + 2)*(b + 2780)/9
Suppose -2*l**4 - 494*l**3 - 41462*l**2 - 1244970*l - 5248800 = 0. Calculate l.
-81, -80, -5
Factor n**2/5 + 90144*n/5 + 72112.
(n + 4)*(n + 90140)/5
Factor i**3/7 + 247*i**2/7 + 1446*i/7.
i*(i + 6)*(i + 241)/7
Let -j**2/2 + 2313*j/2 - 33118 = 0. What is j?
29, 2284
Solve 2*j**5/7 + 2168*j**4/7 + 587520*j**3/7 - 8672*j**2/7 - 2350112*j/7 = 0.
-542, -2, 0, 2
Factor -4*j**2 - 20992*j + 273572.
-4*(j - 13)*(j + 5261)
Suppose -5*k**3 + 7375*k**2 + 7380*k = 0. Calculate k.
-1, 0, 1476
Factor -2*v**2 + 210700*v - 5549311250.
-2*(v - 52675)**2
Let c**5/7 + 712*c**4/7 + 128152*c**3/7 + 504096*c**2/7 + 501264*c/7 = 0. What is c?
-354, -2, 0
Solve -r**3 + 242856*r**2 + 485715*r + 242858 = 0.
-1, 242858
Factor -2*d**2 + 5078*d + 45864.
-2*(d - 2548)*(d + 9)
What is u in -15*u**2 + 327470*u - 109155 = 0?
1/3, 21831
Factor -a**3 + 1949*a**2 + 51181*a + 333775.
-(a - 1975)*(a + 13)**2
Suppose 4*x**4 - 1984*x**3 - 2004*x**2 + 7936*x + 7952 = 0. What is x?
-2, -1, 2, 497
Solve -4*f**3/7 - 3028*f**2/7 - 12028*f/7 + 15060/7 = 0 for f.
-753, -5, 1
Solve 2*n**2 + 8528*n + 8526 = 0.
-4263, -1
Find s such that -s**5/3 - 205*s**4/3 - 4474*s**3/3 + 1560*s**2 = 0.
-180, -26, 0, 1
Let -2*u**3/7 - 946*u**2/7 - 3200*u = 0. Calculate u.
-448, -25, 0
Solve -7*g**4/2 + 27*g**3 + 443*g**2/2 + 243*g + 52 = 0 for g.
-4, -1, -2/7, 13
Solve 2*c**5/7 - 268*c**4/7 - 3922*c**3/7 + 14052*c**2/7 + 94536*c/7 + 15120 = 0 for c.
-15, -2, 6, 147
Factor -b**2/7 + 162090*b/7 - 6568292025/7.
-(b - 81045)**2/7
Suppose -3*c**4 + 129*c**3 - 618*c**2 - 2064*c + 10656 = 0. Calculate c.
-4, 4, 6, 37
Find a, given that -2*a**3/5 + 14866*a**2/5 - 11888*a + 59432/5 = 0.
2, 7429
Suppose 2*v**2/15 + 7804*v/5 + 22838406/5 = 0. Calculate v.
-5853
Determine y so that -2*y**4/7 - 2368*y**3/7 + 2372*y**2/7 + 2368*y/7 - 2370/7 = 0.
-1185, -1, 1
Factor 5*x**2 + 21650*x - 1228080.
5*(x - 56)*(x + 4386)
Factor -o**3/3 - 721*o**2 + 3*o + 6489.
-(o - 3)*(o + 3)*(o + 2163)/3
Factor 172*q**2 - 2932*q + 136.
4*(q - 17)*(43*q - 2)
Let l**2/4 - 1641*l/4 + 2457/2 = 0. Calculate l.
3, 1638
Solve m**3 - 2415*m**2 + 1464075*m - 7260125 = 0 for m.
5, 1205
Factor -2*d**3/9 - 650*d**2/9 - 3838*d/9 - 3190/9.
-2*(d + 1)*(d + 5)*(d + 319)/9
What is f in 244*f**4/3 + 236*f**3 + 416*f**2/3 - 16*f = 0?
-2, -1, 0, 6/61
Factor x**3/3 - 245*x**2/3 + 967*x/3 - 241.
(x - 241)*(x - 3)*(x - 1)/3
Factor 5*s**3 + 390*s**2 + 5035*s + 4650.
5*(s + 1)*(s + 1