8.
2*(y + 2)*(y + 11046317)
Suppose 3*h**5 - 2523*h**4 + 316245*h**3 - 311205*h**2 - 316248*h + 313728 = 0. What is h?
-1, 1, 152, 688
Let -4*z**4 + 17200*z**3 - 23095212*z**2 + 9929044096*z - 9905966080 = 0. Calculate z.
1, 1072, 2155
Let 3*m**2/2 - 90381603*m/2 + 135572391 = 0. Calculate m.
3, 30127198
Factor 2*w**2/5 - 63763608*w/5 + 508224713147208/5.
2*(w - 15940902)**2/5
Let -4*q**4/5 + 22187072*q**3/5 - 44374124*q**2/5 - 22187072*q/5 + 44374128/5 = 0. Calculate q.
-1, 1, 2, 5546766
Find n such that 31794*n**4 + 381527*n**3/2 + 381525*n**2 + 254346*n - 4 = 0.
-2, 1/63588
Factor -3*m**2/4 - 293277*m - 28670466243.
-3*(m + 195518)**2/4
Suppose 4*b**2/13 - 76189726*b/13 - 38094864/13 = 0. What is b?
-1/2, 19047432
Find b such that 2*b**2/11 - 200176*b/11 + 400344/11 = 0.
2, 100086
Suppose 2*p**2 - 123093996*p + 1894016481406002 = 0. What is p?
30773499
Factor 3*c**2 - 3270381*c - 35974554.
3*(c - 1090138)*(c + 11)
Factor 5*p**2/2 - 3280440*p + 19682595/2.
5*(p - 1312173)*(p - 3)/2
What is a in -3*a**3 + 57960*a**2 - 1157328*a - 12969600 = 0?
-8, 28, 19300
Factor -z**2/2 + 3329039*z - 6658076.
-(z - 6658076)*(z - 2)/2
Factor 15123*q**3 - 1409421*q**2 + 3042000*q - 1660932.
3*(q - 91)*(71*q - 78)**2
Factor -z**2/2 - 6669641*z - 44484111068881/2.
-(z + 6669641)**2/2
Let -l**4/10 - 6155*l**3/2 - 199953*l**2/5 + 72*l/5 + 2214864/5 = 0. What is l?
-30762, -12, -4, 3
Solve -3*k**2/2 + 27261*k/2 + 3443877 = 0.
-246, 9333
Factor -352*n**2 - 29826*n/7 - 3096/7.
-2*(n + 12)*(1232*n + 129)/7
Determine l so that l**2 + 4798285*l - 14394864 = 0.
-4798288, 3
Find a such that 99*a**5 - 81112533*a**4 + 122897442*a**3 + 88486260*a**2 - 19663608*a = 0.
-2/3, 0, 2/11, 2, 819317
Solve -m**2/4 - 980715*m/2 - 961801911225/4 = 0.
-980715
Factor 5*h**3 - 3710*h**2 + 622335*h - 1833750.
5*(h - 489)*(h - 250)*(h - 3)
Solve -3*k**3 - 4210167*k**2 - 1476912877605*k + 149211151642575 = 0 for k.
-701745, 101
Let c**2 - 14155765*c + 14155764 = 0. What is c?
1, 14155764
Let 28265896*u**2 - 56531804*u + 24 = 0. Calculate u.
3/7066474, 2
What is d in 2*d**4/3 - 1132*d**3 + 414526*d**2 - 4933624*d/3 + 1640024 = 0?
2, 527, 1167
Factor -3*q**4/5 + 5058*q**3 - 7551468*q**2/5 + 763882488*q/5 - 25863761376/5.
-3*(q - 8124)*(q - 102)**3/5
Find a such that -2*a**5/13 - 14930*a**4/13 - 27900416*a**3/13 - 139248368*a**2/13 - 17128160*a - 111303200/13 = 0.
-3730, -2, -1
Suppose -2*d**4 - 96486*d**3 - 1928986*d**2 - 3182610*d + 5208084 = 0. What is d?
-48223, -18, -3, 1
Factor r**2 + 2927669*r - 76120070.
(r - 26)*(r + 2927695)
Determine f, given that -36*f**2 - 99455*f/3 + 3991 = 0.
-921, 13/108
Factor -o**2/6 - 2618*o - 3091408/3.
-(o + 404)*(o + 15304)/6
Factor k**3/4 - 16688*k**2 + 266960*k - 1067776.
(k - 66736)*(k - 8)**2/4
Factor 10*n**2/3 + 2252*n/3 + 20176.
2*(n + 194)*(5*n + 156)/3
Find q, given that -3*q**2/4 + 4216695*q/4 = 0.
0, 1405565
Suppose n**2/4 - 297425*n/4 + 892257/2 = 0. Calculate n.
6, 297419
Let -2315*f**3/4 + 2720*f**2 + 48845*f/4 + 17825/2 = 0. What is f?
-2, -1, 3565/463
Factor 2*z**2 - 2995754*z.
2*z*(z - 1497877)
Solve m**4/4 - 213*m**3/2 - 35559*m**2/4 + 505791*m + 36743949 = 0.
-66, 69, 489
Find r, given that -2*r**3/3 - 1466572*r**2/3 = 0.
-733286, 0
Determine j, given that -1210*j**4 - 168214*j**3 - 661576*j**2 - 666456*j - 12960 = 0.
-135, -2, -12/605
Suppose -g**5/2 + 12673*g**4/2 - 1315857*g**3 + 90413317*g**2 - 3894137213*g/2 - 13381934379/2 = 0. What is g?
-3, 71, 12463
Let 3*f**2 + 905946*f + 43478496 = 0. Calculate f.
-301934, -48
Solve 2*g**2 + 20173700*g = 0.
-10086850, 0
Find s such that -s**3/3 + 4738*s**2/3 - 5751601*s/3 + 109418420 = 0.
60, 2339
What is b in -2*b**2 + 1617386*b + 4852176 = 0?
-3, 808696
What is o in 3*o**4 + 45035*o**3 + 224391375*o**2 + 366260315625*o - 24108034218750 = 0?
-5025, 190/3
Factor 8*h**2 + 4130172*h + 2065084.
4*(h + 516271)*(2*h + 1)
Suppose 2*h**2/11 + 3358192*h/11 - 20149224/11 = 0. What is h?
-1679102, 6
Solve -196*p**2/11 + 274316*p/11 - 95981209/11 = 0 for p.
9797/14
Find d such that -2*d**4 + 2994976*d**3 - 2994972*d**2 - 2994976*d + 2994974 = 0.
-1, 1, 1497487
Determine h so that 2*h**5/5 + 18*h**4/5 - 426*h**3/5 - 3418*h**2/5 + 4584*h/5 + 1512 = 0.
-15, -9, -1, 2, 14
Factor -8*t**4 + 232398*t**3 - 2249961090*t**2 + 7255745250650*t + 38154710753250.
-2*(t - 9685)**3*(4*t + 21)
Determine g so that 3*g**2 + 384339780*g + 384339777 = 0.
-128113259, -1
Suppose -t**2/9 + 80782*t/9 - 14910445/9 = 0. Calculate t.
185, 80597
Solve 3*i**2 + 3658920*i + 139034628 = 0 for i.
-1219602, -38
Factor l**2/3 - 1064804*l/3 - 354935.
(l - 1064805)*(l + 1)/3
Let 15*w**3/4 - 653*w**2/4 - 79*w + 88 = 0. Calculate w.
-1, 8/15, 44
Determine c so that -2*c**2/7 - 287556*c/7 + 7477808/7 = 0.
-143804, 26
Solve 4*y**2 - 22364576*y + 22364572 = 0.
1, 5591143
Find i such that 1425*i**5/2 - 45599*i**4 + 1094336*i**3 - 11672064*i**2 + 46678016*i + 65536 = 0.
-2/1425, 16
What is k in -2*k**2/17 + 235192*k/17 + 17650650/17 = 0?
-75, 117671
What is f in -27*f**2 - 22218456*f + 4937436 = 0?
-822906, 2/9
Factor g**2/2 + 467019*g/2 - 15413805.
(g - 66)*(g + 467085)/2
Factor 228010070016*d**2/5 + 1910016*d + 20.
4*(238752*d + 5)**2/5
Solve -w**3/3 - 4917412*w**2/3 - 9834821*w/3 - 4917410/3 = 0 for w.
-4917410, -1
Factor -315*s**2/2 + 15469*s/2.
-s*(315*s - 15469)/2
Factor 3*t**3 - 15366*t**2 + 700875*t - 1964412.
3*(t - 5076)*(t - 43)*(t - 3)
Let 8392*s**3 - 83212*s**2 + 171276*s = 0. Calculate s.
0, 6117/2098, 7
Let -2*w**3/11 - 36744*w**2/11 - 183682*w/11 - 220404/11 = 0. Calculate w.
-18367, -3, -2
Factor 2*s**2/15 - 5130376*s/5 + 15391126/15.
2*(s - 7695563)*(s - 1)/15
Let -576*o**3 + 1135968*o**2 - 558941860*o - 1122432200 = 0. What is o?
-2, 11845/12
Factor 2*u**2/7 + 15492200*u + 108445398/7.
2*(u + 1)*(u + 54222699)/7
Factor 5*v**2 + 8096910*v + 32387560.
5*(v + 4)*(v + 1619378)
Let 4*v**4 + 1960976*v**3 - 70598592*v**2 + 847196928*v - 3388815360 = 0. What is v?
-490280, 12
Find z, given that z**4/4 + 1561691*z**3/4 + 1171266*z**2 = 0.
-1561688, -3, 0
Factor -4*r**2 - 271340*r - 5425200.
-4*(r + 20)*(r + 67815)
Suppose 2*q**5/9 - 1480*q**4/9 - 119666*q**3/3 - 15737252*q**2/9 - 229010816*q/9 - 294377920/3 = 0. What is q?
-148, -23, -6, 940
What is i in i**4/8 - 35*i**3/8 - 3665*i**2/4 + 28595*i/2 - 13377 = 0?
-78, 1, 14, 98
Factor -3*m**2/4 + 12081*m/4 + 3569475/2.
-3*(m - 4550)*(m + 523)/4
Let 12*x**5 - 599768*x**4/3 - 2267020*x**3/3 + 3977360*x**2 - 10931696*x/3 + 1866368/3 = 0. What is x?
-7, 2/9, 1, 2, 16664
Solve 2*k**3/7 - 503570*k**2/7 - 8*k/7 + 2014280/7 = 0 for k.
-2, 2, 251785
Solve -5*a**3 - 210*a**2 + 9455*a - 59640 = 0 for a.
-71, 8, 21
Factor -w**3 - 423*w**2 - 4184*w + 307428.
-(w - 22)*(w + 34)*(w + 411)
Find r such that 3*r**4/2 + 1164*r**3 - 108450*r**2 - 2516616*r - 12602304 = 0.
-858, -12, -8, 102
Factor 4*m**2/5 - 380593504*m + 45266067277186880.
4*(m - 237870940)**2/5
Determine y, given that 4*y**3 - 9098372*y**2 + 36393436*y - 27295068 = 0.
1, 3, 2274589
Solve 5*g**4 - 2055*g**3 - 1608465*g**2 - 15893545*g - 14287140 = 0 for g.
-391, -9, -1, 812
Factor g**4 + 153*g**3 - 399841*g**2 - 399993*g.
g*(g - 561)*(g + 1)*(g + 713)
Determine c so that -5*c**3/4 - 2045*c**2/2 - 101190*c + 421200 = 0.
-702, -120, 4
Let -2*r**4/5 + 186*r**3/5 + 145026*r**2/5 + 86670*r = 0. Calculate r.
-225, -3, 0, 321
Solve -2*l**2 + 161588*l - 17428176 = 0.
108, 80686
Factor 4*r**2 - 362820*r - 70902000.
4*(r - 90900)*(r + 195)
Suppose -7248*u**5 - 94220*u**4 - 144908*u**3 + 724880*u**2 - 400*u = 0. What is u?
-10, -5, 0, 1/1812, 2
Solve 5*r**3/4 + 415*r**2/4 + 75*r - 18000 = 0 for r.
-80, -15, 12
Determine g so that -g**2/8 + 536487*g/8 - 8046405/2 = 0.
60, 536427
Solve 12*q**3 + 181544*q**2 - 49204556*q - 32883720 = 0.
-15395, -2/3, 267
Find p, given that -2*p**2/7 + 4784*p/7 + 773376/7 = 0.
-152, 2544
Factor 5*p**2/3 - 6749570*p/3 - 87745255/3.
5*(p - 1349927)*(p + 13)/3
Factor -4*v**3 - 7788*v**2 - 185084*v - 915348.
-4*(v + 7)*(v + 17)*(v + 1923)
Determine w so that 7*w**2/8 + 168317*w/4 = 0.
-336634/7, 0
Suppose -4*m**2 - 202216*m - 1010980 = 0. What is m?
-50549, -5
What is w in -2*w**2 + 5099632*w + 15298914 = 0?
-3, 2549819
Factor -2*y**2/9 - 14990*y/9 + 1413776/3.
-2*(y - 273)*(y + 7768)/9
Find q such that 3*q**3/4 + 7647*q*