8.
-3*(m - 12261)*(m - 296)
Determine o so that -o**5/4 + 1513*o**4 + 269933*o**3/2 + 713192*o**2 - 400926201*o/4 + 842839335 = 0.
-57, 13, 6140
Determine c so that 3*c**3 - 1815*c**2 + 260082*c + 1626480 = 0.
-6, 251, 360
Determine t so that -t**5/6 + 3001*t**4/6 - 726373*t**3/2 - 36591291*t**2/2 + 77884020*t - 59225688 = 0.
-51, 1, 3, 1524
Solve 5*r**2 + 6660*r - 9532665 = 0 for r.
-2199, 867
Factor -u**4/4 + 2589*u**3/4 - 160461*u**2/4 + 3351159*u/4 - 11696643/2.
-(u - 2526)*(u - 21)**3/4
Factor -3*v**2 + 41841*v - 8897688.
-3*(v - 13731)*(v - 216)
Find u such that -u**4 - 48638*u**3 + 48639*u**2 = 0.
-48639, 0, 1
Find c, given that -2*c**4/9 - 886*c**3/3 + 18970*c**2/3 + 283250*c/9 - 37500 = 0.
-1350, -5, 1, 25
Solve -3*d**2 + 19969548*d - 33231903943692 = 0.
3328258
Determine m so that 5*m**4 - 151865*m**3 + 2580660*m**2 - 12142720*m + 9713920 = 0.
1, 8, 30356
Factor -2*s**2/7 - 19328*s - 79660152/7.
-2*(s + 594)*(s + 67054)/7
Solve -167*n**4/6 + 39*n**3 + 323*n**2/2 + 284*n/3 = 0.
-1, 0, 568/167
Let 2*f**3/3 - 5924864*f**2/3 + 4387966127912*f/3 + 17552148906272 = 0. Calculate f.
-12, 1481222
Factor 4*p**3 + 1182256*p**2 - 8275964*p + 7093704.
4*(p - 6)*(p - 1)*(p + 295571)
Suppose 3*j**2/4 + 122998317*j/2 + 5042861994944163/4 = 0. What is j?
-40999439
Factor 3*n**3 - 1368228*n**2 + 156009461100*n - 1247988123744.
3*(n - 228034)**2*(n - 8)
Determine w, given that 2*w**4/3 + 224312*w**3/3 - 11220706*w**2/3 - 3964544*w + 7630008 = 0.
-112206, -2, 1, 51
Find s, given that s**4/2 + 370015*s**3/2 - 1110063*s**2/2 - 3330135*s/2 + 4995243 = 0.
-370018, -3, 3
Factor 99458*d**2/21 + 94046236*d/21 + 22232234978/21.
2*(223*d + 105433)**2/21
Solve -2*v**2 + 216432*v - 1082110 = 0 for v.
5, 108211
Let 30*k**2/11 + 4914*k/11 - 314388/11 = 0. Calculate k.
-213, 246/5
Find n, given that -149333762*n**4/3 - 6720364930*n**3/3 - 18831608012*n**2/3 - 14519880*n - 8400 = 0.
-42, -3, -10/8641
What is y in 5*y**4/4 + 9149*y**3/2 - 66215*y**2 - 304906*y + 132264 = 0?
-3674, -4, 2/5, 18
Factor -27467597707774563*c**2/5 - 2296470936*c/5 - 48/5.
-3*(95686289*c + 4)**2/5
What is b in 3*b**5/2 + 201*b**4/2 + 1023*b**3/2 - 4521*b**2/2 + 1647*b = 0?
-61, -9, 0, 1, 2
Factor i**3/4 + 14961*i**2/4 + 14343420*i + 2630756752.
(i + 193)*(i + 7384)**2/4
Find y such that 2*y**2/15 + 10414*y/3 - 42346084/5 = 0.
-28281, 2246
Factor -3*c**3 + 1590*c**2 + 39888*c.
-3*c*(c - 554)*(c + 24)
What is z in -2*z**5/13 + 36*z**4/13 - 196*z**3/13 + 176*z**2/13 + 966*z/13 - 980/13 = 0?
-2, 1, 5, 7
Find y, given that 12328780*y**3 - 15411135*y**2 + 3082395*y - 40 = 0.
8/616439, 1/4, 1
Suppose -3*j**2 - 4665*j + 12845412 = 0. What is j?
-2988, 1433
Find i, given that i**5/4 + 135*i**4/4 - 1012*i**3 - 68697*i**2 - 97200*i + 14040000 = 0.
-150, -24, 13, 50
What is f in -6*f**5 - 7155*f**4 + 942441*f**3 - 31575057*f**2 + 125413173*f - 54930180 = 0?
-1315, 1/2, 4, 59
Factor f**3 - 722316*f**2 + 2166941*f - 1444626.
(f - 722313)*(f - 2)*(f - 1)
Factor -3*g**3 + 69774*g**2 - 418699428*g + 149928709224.
-3*(g - 11438)**2*(g - 382)
Let -c**2 + 112844512*c - 3183470972129536 = 0. Calculate c.
56422256
Solve -h**4/3 - 761818*h**3/3 - 3809068*h**2/3 - 761810*h + 2285439 = 0 for h.
-761813, -3, 1
Factor 202*y**2/3 - 290996*y/3 + 96965/2.
(2*y - 1)*(202*y - 290895)/6
Let 4*c**4/3 + 2452066*c**3/3 - 1226035*c**2 + 3678107*c/6 - 306509/3 = 0. Calculate c.
-613018, 1/2
Factor -y**2/5 - 62844846*y/5 - 987368667190929/5.
-(y + 31422423)**2/5
Factor -4*g**3 - 171623704*g**2 + 343247424*g.
-4*g*(g - 2)*(g + 42905928)
Factor -2*q**2 + 1874*q + 175956.
-2*(q - 1023)*(q + 86)
Solve -174876*q**4 + 877852*q**3 - 716660*q**2 + 12868*q + 816 = 0 for q.
-1/39, 51/1121, 1, 4
Suppose -187*c**4/8 + 13837*c**3/4 + 1982683*c**2/8 + 987863*c/4 + 2613 = 0. Calculate c.
-52, -1, -2/187, 201
Factor b**3/5 - 719484*b**2 + 7194836*b/5.
b*(b - 3597418)*(b - 2)/5
Factor -3*b**4/5 + 3958197*b**3/5 - 1305600395352*b**2/5 - 1305620186412*b.
-3*b*(b - 659702)**2*(b + 5)/5
Factor x**3 - 2271*x**2 - 173605*x + 175875.
(x - 2345)*(x - 1)*(x + 75)
Solve 3*v**4 + 147102*v**3 + 1803102747*v**2 - 3607235268*v - 5410190916 = 0 for v.
-24518, -1, 3
Determine c, given that -2*c**2/11 + 1854582*c/11 - 1854580/11 = 0.
1, 927290
Factor t**2/6 + 20313*t + 609365/6.
(t + 5)*(t + 121873)/6
Factor 416*g**2 - 2717324*g + 78384.
4*(g - 6532)*(104*g - 3)
Determine b so that -112*b**5 - 36922*b**4 + 751690*b**3 - 1484690*b**2 - 1233978*b - 213588 = 0.
-349, -3/8, -2/7, 3, 17
Factor -2*t**3 - 6634974*t**2 + 26539920*t - 26539928.
-2*(t - 2)**2*(t + 3317491)
Factor -4*v**2 + 8256*v + 6380548.
-4*(v - 2663)*(v + 599)
Let 4*n**4 + 80464*n**3 + 3774184*n**2 + 24322224*n - 28176876 = 0. Calculate n.
-20069, -39, -9, 1
Factor -q**2 - 97192376*q - 2361589488131344.
-(q + 48596188)**2
Find k, given that -4*k**4 - 1650336*k**3 - 170215654752*k**2 + 2042766096768*k - 6128476531776 = 0.
-206298, 6
Solve 4*z**4 + 2372112*z**3 - 14232816*z**2 = 0.
-593034, 0, 6
Suppose 2*h**3 + 1420*h**2 - 113898*h + 328860 = 0. What is h?
-783, 3, 70
Factor -4*y**3 - 1072936*y**2 - 71956988720*y - 1007187557600.
-4*(y + 14)*(y + 134110)**2
Determine w, given that 5*w**4 + 25485*w**3 - 1415550*w**2 + 6440000*w = 0.
-5152, 0, 5, 50
Determine o, given that -o**4 + 582*o**3 - 86419*o**2 + 2482518*o - 10324240 = 0.
5, 31, 184, 362
Let -2*r**5/3 - 296*r**4/3 + 10174*r**3/3 + 127420*r**2/3 + 121264*r/3 - 828800/3 = 0. Calculate r.
-175, -8, -4, 2, 37
Let -2*v**3/9 - 4755970*v**2/9 - 2827399196144*v/9 + 2827413464072/3 = 0. What is v?
-1188994, 3
Find a such that 4*a**5 - 104*a**4 - 17376*a**3 - 271424*a**2 - 831680*a + 2889600 = 0.
-42, -10, 2, 86
Factor -2*k**3/15 - 1968*k**2/5 - 1575262*k/5 - 1146180308/15.
-2*(k + 559)**2*(k + 1834)/15
Factor -2*q**3/5 - 2116*q**2/5 - 108768*q.
-2*q*(q + 440)*(q + 618)/5
Determine i, given that i**2/5 + 14854246*i/5 + 55162156057129/5 = 0.
-7427123
Solve 2*w**4/23 - 1342*w**3/23 + 186604*w**2/23 + 7034752*w/23 + 59157504/23 = 0 for w.
-16, 262, 441
Find t, given that -4*t**5 - 90*t**4 + 38*t**3 + 4164*t**2 - 11680*t + 4800 = 0.
-20, -10, 1/2, 3, 4
Find v, given that v**3/2 + 1698*v**2 - 1179630*v + 187646544 = 0.
-4008, 306
What is c in 2*c**3 - 17516924*c**2 - 17516926*c = 0?
-1, 0, 8758463
Let 2*r**4/11 - 3452*r**3/11 - 11938368*r**2/11 + 21761533628*r/11 + 21773468542/11 = 0. Calculate r.
-2471, -1, 2099
Let 2*h**4/7 - 8476*h**3/7 + 8834562*h**2/7 + 309967776*h/7 + 301124736/7 = 0. What is h?
-33, -1, 2136
Solve -i**3/7 - 39686*i**2/7 + 35159451*i/7 = 0 for i.
-40553, 0, 867
Factor -4*t**3 - 18048*t**2 - 26382144*t - 12590192128.
-4*(t + 1252)**2*(t + 2008)
Solve 5*i**3 - 23006835*i**2 - 161048090*i = 0 for i.
-7, 0, 4601374
Factor 3*p**2 - 15714213*p - 219999570.
3*(p - 5238085)*(p + 14)
Let d**2/3 - 135278*d/3 = 0. Calculate d.
0, 135278
Factor -4*s**2 + 516122160*s - 16648880252691600.
-4*(s - 64515270)**2
Let -3*x**2/7 - 105811716*x/7 - 933009936905388/7 = 0. What is x?
-17635286
Factor 3*d**4 - 1822002*d**3 + 276671912967*d**2 - 9405265424100*d + 79940280607500.
3*(d - 303650)**2*(d - 17)**2
Solve 5*d**3 + 33670*d**2 + 6817575*d - 6851250 = 0 for d.
-6525, -210, 1
Factor -5*x**2 + 279850590*x - 3915817636167405.
-5*(x - 27985059)**2
Find g such that 2*g**5 + 34428*g**4 + 4450288*g**3 + 144325372*g**2 - 4450290*g - 144359800 = 0.
-17084, -65, -1, 1
Solve -o**2 + 32789*o - 2942910 = 0 for o.
90, 32699
Find q, given that 12954006*q**5 + 21633234*q**4 - 8637758*q**3 - 151842*q**2 + 49136*q + 24 = 0.
-2, -1/13, -3/6151, 2/27, 1/3
Find y, given that -y**5/4 + 2013*y**4/4 - 59591*y**3/4 + 198087*y**2/4 + 1089234*y - 1124361 = 0.
-7, 1, 18, 1983
What is i in -i**5 - 6458*i**4 - 122358*i**3 - 109444*i**2 + 122359*i + 115902 = 0?
-6439, -18, -1, 1
Factor 2*i**3/5 + 453786*i**2/5 + 1815024*i + 9074920.
2*(i + 10)**2*(i + 226873)/5
Suppose 2*m**4 - 16482*m**3 + 12776958*m**2 - 25504478*m + 12744000 = 0. What is m?
1, 864, 7375
Solve 4*n**3/5 + 1412*n**2/5 - 1704*n/5 - 101952/5 = 0.
-354, -8, 9
Let -m**5/6 + 121*m**4/6 - 241*m**3/3 - 17858*m**2/3 - 5852*m = 0. What is m?
-14, -1, 0, 22, 114
Suppose 3*h**5 + 13989*h**4 - 351351*h**3 + 1167387*h**2 + 351348*h - 1181376 = 0. What is h?
-4688, -1, 1, 4, 21
Factor -3*r**2/5 + 13483464*r/5 - 53933616.
-3*(r - 449