8, 1, 163
Factor -t**2/5 - 242*t.
-t*(t + 1210)/5
Solve 2*g**5 - 80*g**4/3 - 14*g**3/3 + 496*g**2/3 + 104*g = 0.
-2, -2/3, 0, 3, 13
Factor -g**3/4 - 185*g**2/4 - 2113*g - 2067.
-(g + 1)*(g + 78)*(g + 106)/4
Factor 2*a**2/19 + 5844*a/19 + 5842/19.
2*(a + 1)*(a + 2921)/19
Suppose -2*g**3/3 + 2618*g**2/3 - 5222*g/3 - 2614 = 0. What is g?
-1, 3, 1307
Determine b, given that 3*b**4/2 + 435*b**3/2 + 10134*b**2 + 157206*b + 147288 = 0.
-68, -38, -1
Solve 3*z**3/7 - 264*z**2 + 261*z + 11070/7 = 0.
-2, 3, 615
Factor -2*n**3/3 + 3242*n**2/3 + 332122*n/3 + 2751546.
-2*(n - 1719)*(n + 49)**2/3
Factor -a**4/4 - 10*a**3 - 109*a**2 - 180*a.
-a*(a + 2)*(a + 18)*(a + 20)/4
Suppose -21*c**4 + 39*c**3/2 + 87*c**2/2 + 3*c = 0. What is c?
-1, -1/14, 0, 2
Factor -f**3 - 29516*f**2 + f + 29516.
-(f - 1)*(f + 1)*(f + 29516)
Find q such that q**5/4 - 6263*q**4/4 + 9828191*q**3/4 - 68584537*q**2/4 + 36705516*q - 22014864 = 0.
1, 3, 3128
Suppose -4*b**3/5 - 2512*b**2/5 - 88768*b - 15006464/5 = 0. Calculate b.
-292, -44
Solve 64*d**4 - 1952*d**3 - 195324*d**2 + 296172*d - 111456 = 0.
-43, 3/4, 72
Find t, given that 45*t**5/8 + 8223*t**4/4 - 75321*t**3/8 + 29493*t**2/4 + 14421*t/2 - 1665 = 0.
-370, -2/3, 1/5, 2, 3
Suppose 2*c**3 - 454014*c**2 - 454020*c + 908032 = 0. Calculate c.
-2, 1, 227008
Factor 2*w**3 - 134870*w**2 - 2*w + 134870.
2*(w - 67435)*(w - 1)*(w + 1)
Let 20*x**4 - 282348*x**3 - 734224*x**2 - 225936*x + 225920 = 0. Calculate x.
-2, -1, 2/5, 14120
Factor -2*b**2 + 20260*b - 60762.
-2*(b - 10127)*(b - 3)
Suppose n**4 - 64*n**3 + 965*n**2 - 1742*n + 840 = 0. What is n?
1, 20, 42
Suppose 2*r**3/7 + 3254*r**2/7 + 19438*r/7 - 3242 = 0. What is r?
-1621, -7, 1
Factor -2*p**3/13 - 5424*p**2/13 - 834*p - 5420/13.
-2*(p + 1)**2*(p + 2710)/13
Find g such that -2*g**4/5 - 189*g**3/5 + 293*g**2/5 + 96*g = 0.
-96, -1, 0, 5/2
Factor -2*t**2/3 - 3644*t - 1020490/3.
-2*(t + 95)*(t + 5371)/3
Determine l, given that 2*l**3/21 + 14074*l**2/21 + 56272*l/21 + 56264/21 = 0.
-7033, -2
Find t such that -22*t**3/3 - 658*t**2/3 + 6356*t - 576 = 0.
-48, 1/11, 18
Factor -2*w**2/13 + 25328*w/13 + 1348002/13.
-2*(w - 12717)*(w + 53)/13
Find o such that 36*o**5 + 173496*o**4 + 923896*o**3 - 1886896*o**2 + 924260*o - 134792 = 0.
-4814, -7, 1/3, 1
Find v such that -10*v**3 - 195*v**2 - 575*v - 240 = 0.
-16, -3, -1/2
Factor -2*l**3/3 - 140*l**2/3 - 392*l + 16464.
-2*(l - 14)*(l + 42)**2/3
Suppose -5*n**2 - 3425*n - 362870 = 0. What is n?
-554, -131
Factor -2*n**3 + 6344*n**2 + 12696*n.
-2*n*(n - 3174)*(n + 2)
Factor 2*y**2/9 + 4388*y/9 + 18902/3.
2*(y + 13)*(y + 2181)/9
Factor z**3/2 + 27*z**2/2 + 51*z/2 + 25/2.
(z + 1)**2*(z + 25)/2
Factor -2*b**2/7 + 110220*b/7 - 1518556050/7.
-2*(b - 27555)**2/7
Solve -4*s**2 + 64*s - 252 = 0 for s.
7, 9
Find y such that 68*y**3 - 2586*y**2 + 14832*y - 434 = 0.
1/34, 7, 31
What is p in -1327464338*p**2/11 + 103052*p/11 - 2/11 = 0?
1/25763
Factor -6423*a**2/7 + 610188*a/7 - 285/7.
-3*(a - 95)*(2141*a - 1)/7
Find p, given that -4*p**3 - 7940*p**2 + 15892*p - 7948 = 0.
-1987, 1
Factor -q**3/4 - 445*q**2/4 + q/4 + 445/4.
-(q - 1)*(q + 1)*(q + 445)/4
Factor h**2/6 + 602*h - 18085/6.
(h - 5)*(h + 3617)/6
Factor -p**2/5 - 1391*p/5 + 1392/5.
-(p - 1)*(p + 1392)/5
Suppose -2*w**4/15 - 254*w**3/15 + 346*w**2/5 - 1306*w/15 + 524/15 = 0. What is w?
-131, 1, 2
Determine w so that -w**2 + 17014*w - 17013 = 0.
1, 17013
Solve -2*o**4 + 944*o**3 + 19614*o**2 + 32580*o - 53136 = 0.
-18, -3, 1, 492
Suppose -5*q**3 + 54650*q**2 - 163885*q - 218540 = 0. What is q?
-1, 4, 10927
Factor 5*z**2 - 89340*z - 178700.
5*(z - 17870)*(z + 2)
Factor 2*h**3 + 24*h**2 - 266*h - 2640.
2*(h - 11)*(h + 8)*(h + 15)
Solve -45*d**2 - 39*d + 522 = 0.
-58/15, 3
Factor f**4 + 261*f**3 - 2678*f**2 + 8640*f - 8672.
(f - 4)**2*(f - 2)*(f + 271)
Find v, given that -2*v**2 - 708*v + 22214 = 0.
-383, 29
Solve 2*w**4/15 + 146*w**3/15 + 2084*w**2/15 + 552*w/5 - 1296/5 = 0 for w.
-54, -18, -2, 1
Factor -9776*j**2/5 + 3650*j + 30.
-2*(8*j - 15)*(611*j + 5)/5
Suppose -95*r**2 + 16175*r - 4250 = 0. What is r?
5/19, 170
Solve 15*n**2 - 151681*n/4 + 632 = 0 for n.
1/60, 2528
Let -2*h**5/11 + 112*h**4/11 + 1018*h**3/11 + 48*h**2 - 9000*h/11 - 13824/11 = 0. What is h?
-6, -3, -2, 3, 64
Let 4*p**2 + 249280*p + 747804 = 0. What is p?
-62317, -3
Let 9*c**3/4 + 5861463*c**2/4 - 1953824*c + 651275 = 0. Calculate c.
-651275, 2/3
Let c**3/3 - 11*c**2 + 335*c/3 - 325 = 0. Calculate c.
5, 13, 15
Determine x so that -2*x**5/7 - 2*x**4/7 + 18*x**3/7 + 18*x**2/7 = 0.
-3, -1, 0, 3
Solve -5*n**2 + 1895*n - 103290 = 0 for n.
66, 313
Let w**2/2 - 1481*w/2 + 2217 = 0. What is w?
3, 1478
What is f in -f**4 - 1815*f**3 - 944274*f**2 - 24076628*f + 63379678968 = 0?
-674, 207
Factor 3*z**2/5 - 155676*z/5 - 311364/5.
3*(z - 51894)*(z + 2)/5
Factor -3*a**4 - 552*a**3 - 31152*a**2 - 529920*a - 2764800.
-3*(a + 12)**2*(a + 80)**2
Let -2*q**3 + 1470*q**2 + 18*q - 13230 = 0. Calculate q.
-3, 3, 735
Solve -4*z**3 - 340*z**2 + 1096*z + 3520 = 0 for z.
-88, -2, 5
Solve -w**4/10 - 3*w**3 - 191*w**2/10 + 3*w/5 + 504/5 = 0 for w.
-21, -8, -3, 2
Factor -4*g**3 - 236188*g**2 - 1417020*g - 2125476.
-4*(g + 3)**2*(g + 59041)
What is n in 3*n**5/4 + 2325*n**4/4 + 40515*n**3/4 - 275205*n**2/4 - 156699*n/2 = 0?
-757, -23, -1, 0, 6
Solve -2*a**3/3 + 206*a**2/3 + 212*a/3 - 416/3 = 0 for a.
-2, 1, 104
Factor -3*u**4 + 15*u**3 + 3*u**2 - 15*u.
-3*u*(u - 5)*(u - 1)*(u + 1)
Factor -z**4 + 2*z**3 + 21*z**2 + 18*z.
-z*(z - 6)*(z + 1)*(z + 3)
Suppose -3*b**2 - 96825*b - 193638 = 0. Calculate b.
-32273, -2
Factor -35*b**2 - 14799*b + 2538.
-(b + 423)*(35*b - 6)
Let -32*r**4 + 2452*r**3 - 6244*r**2 + 2048*r + 1776 = 0. Calculate r.
-3/8, 1, 2, 74
Determine q, given that -26*q**3/15 + 9164*q**2/15 - 266798*q/5 - 83544 = 0.
-20/13, 177
Factor 5*r**4 - 490*r**3 - 2535*r**2 - 4100*r - 2060.
5*(r - 103)*(r + 1)*(r + 2)**2
Factor w**3/3 + 791*w**2/3 - 17765*w/3 + 32791.
(w - 11)**2*(w + 813)/3
Find i, given that -i**5/4 + 811*i**4/4 + 29043*i**3/2 - 89557*i**2/2 + 180731*i/4 - 60513/4 = 0.
-69, 1, 877
Solve t**2/3 + 328*t/3 - 5504/3 = 0 for t.
-344, 16
Find v such that -2*v**4/9 - 28682*v**3/9 - 102846476*v**2/9 - 34253480*v/3 + 22848400 = 0.
-7170, -2, 1
Determine o, given that 289*o**4/4 + 16558*o**3 + 1107796*o**2 + 18233280*o + 87609600 = 0.
-104, -180/17
Find f such that -4*f**2/9 + 795332*f/9 - 795328/9 = 0.
1, 198832
Suppose 18*w**4/5 + 4858*w**3/5 + 279056*w**2/5 - 6847488*w/5 - 6303744/5 = 0. Calculate w.
-144, -8/9, 19
Factor -g**3/2 + 4617*g**2/2 - 9231*g/2 + 4615/2.
-(g - 4615)*(g - 1)**2/2
Factor 5*f**3 + 690*f**2 - 448875*f - 78975000.
5*(f - 312)*(f + 225)**2
Determine c so that -2*c**3/9 - 860*c**2/3 - 1718*c/3 - 2576/9 = 0.
-1288, -1
What is r in -4*r**5/7 + 28692*r**4/7 + 229708*r**3/7 + 603116*r**2/7 + 631896*r/7 + 229792/7 = 0?
-4, -2, -1, 7181
What is p in -8540*p**2 + 8535*p + 5 = 0?
-1/1708, 1
Determine i, given that -2*i**5/9 - 52*i**4/9 + 4*i**3/3 + 3176*i**2/9 - 6170*i/9 + 1012/3 = 0.
-23, -11, 1, 6
Let n**5/4 + 187*n**4/4 + 8173*n**3/4 - 16911*n**2/4 + 4275*n/2 = 0. Calculate n.
-114, -75, 0, 1
Determine y, given that y**3/3 + 9667*y**2/3 + 38656*y/3 + 12884 = 0.
-9663, -2
Find d such that 5*d**3 - 850*d**2 - 865*d + 1710 = 0.
-2, 1, 171
Factor -2*n**5/5 + 2168*n**4/5 - 784092*n**3/5 + 94873688*n**2/5 - 94091762*n/5.
-2*n*(n - 361)**3*(n - 1)/5
Let 3*j**5 - 3054*j**3 - 25704*j**2 + 142155*j - 113400 = 0. Calculate j.
-24, -15, 1, 3, 35
Let -5*j**3 + 3515*j**2 + 14120*j + 14140 = 0. Calculate j.
-2, 707
Solve -631*s**3/5 + 1266*s**2/5 - 639*s/5 + 4/5 = 0.
4/631, 1
Determine v, given that v**4/4 + 5011*v**3/2 + 25269961*v**2/4 + 200239560*v + 1596801600 = 0.
-4995, -16
Let 3*d**5 - 42*d**4 + 195*d**3 - 336*d**2 + 180*d = 0. What is d?
0, 1, 2, 5, 6
Factor -3*k**3 + 32181*k**2 - 96516*k.
-3*k*(k - 10724)*(k - 3)
Factor -2*w**3/9 + 1346*w**2/9 + 1348*w/9.
-2*w*(w - 674)*(w + 1)/9
Factor -5*t**3 - 100155*t**2 - 1801575*t - 8105265.
-5*(t + 9)**2*(t + 20013)
Factor -3*n**3/4 + 1947*n**2/4 + 3903*n/4 + 1953/4.
-3*(n - 651)*(n + 1)**2/4
Determine a, given that 2*a**5/19 - 44*a**4/19 - 94*a**3/19 - 48*a**2/19 = 0.
-1, 0, 24
Find w, given that -216*w**5 - 15710*w**4 - 41559*w**3 - 18017*w**2 + 7908*w - 140 = 0.
-70, -2, -1, 1/54, 1/4
Factor -4*q**