hat -6*i**5/11 - 410*i**4/11 - 6022*i**3/11 - 16854*i**2/11 - 14372*i/11 - 3136/11 = 0.
-49, -16, -2, -1, -1/3
Find k, given that -k**2/5 - 134521626*k/5 + 134521627/5 = 0.
-134521627, 1
Let -5*k**4 + 2291970*k**3 - 262605895865*k**2 - 11557987571460*k - 127150066905620 = 0. What is k?
-22, 229219
Let -2*w**4/5 - 22252*w**3/3 + 2413642*w**2/15 + 3564296*w/15 - 683192/3 = 0. Calculate w.
-18565, -2, 2/3, 23
Find j such that 3*j**5 - 576*j**4 - 17466*j**3 - 59868*j**2 + 17463*j + 60444 = 0.
-23, -4, -1, 1, 219
Let o**2 + 14169*o + 2793800 = 0. What is o?
-13969, -200
Solve 3*f**2 + 543900*f - 10879200 = 0.
-181320, 20
Solve 2*u**5/11 - 6470*u**4/11 + 5203280*u**3/11 + 47667440*u**2/11 - 252902240*u/11 + 273611936/11 = 0.
-13, 2, 1622
Factor -4*i**2/7 + 3993716*i/7 - 7987416/7.
-4*(i - 998427)*(i - 2)/7
Solve -3698*v**4/5 + 156004*v**3/5 + 42276192*v**2/5 - 7869376*v/5 + 73216 = 0 for v.
-88, 4/43, 130
Factor -2*l**2/17 + 3020918*l/17 + 69482172/17.
-2*(l - 1510482)*(l + 23)/17
Factor -2*q**3/7 - 3554*q**2/7 - 1578600*q/7.
-2*q*(q + 877)*(q + 900)/7
Solve -j**3/2 + 49627605*j**2/2 - 307862409661404*j + 307862384847602 = 0.
1, 24813802
Factor -3018655*t**2 + 5*t/2.
-5*t*(1207462*t - 1)/2
Determine w so that -144*w**3 - 190209288*w**2 + 31701551*w - 1320898 = 0.
-1320898, 1/12
Determine u so that 5*u**2 - 4216265*u + 16864980 = 0.
4, 843249
Factor 2*c**4 + 35328*c**3 + 156149696*c**2 + 1247502336*c + 2493874688.
2*(c + 4)**2*(c + 8828)**2
What is v in 4*v**3 - 198*v**2 + 2654*v - 5460 = 0?
5/2, 21, 26
Factor -4*o**3 + 1649192*o**2 + 95663228*o + 1387165584.
-4*(o - 412356)*(o + 29)**2
Suppose 4*q**3 + 111692*q**2 - 1340880*q = 0. Calculate q.
-27935, 0, 12
Find l such that -l**5/4 + 22713*l**4/4 + 159123*l**3 + 1455196*l**2 + 5184696*l + 5730732 = 0.
-14, -6, -2, 22741
Suppose 5*d**3/3 + 721655*d**2 + 78107425805*d - 6797166902545/3 = 0. What is d?
-216511, 29
Let -212*x**3 - 3984*x**2 + 62640*x + 1181952 = 0. Calculate x.
-18, 912/53
Factor 4*h**2/9 + 1152892*h/3.
4*h*(h + 864669)/9
Find l such that 5408*l**2/3 - 79875536*l + 884814337734 = 0.
1152051/52
Suppose u**2/4 + 145817*u = 0. What is u?
-583268, 0
Solve -2*r**4/13 - 374*r**3/13 + 5646*r**2 + 8470854*r/13 - 1029493476/13 = 0 for r.
-211, -198, 111
Let -5*n**2 - 35096140*n - 61586952144980 = 0. Calculate n.
-3509614
Solve -2*k**4 + 11474*k**3 + 487106*k**2 - 9645218*k - 33009648 = 0.
-56, -3, 17, 5779
Solve -v**5 + 753*v**4 - 80593*v**3 - 247065*v**2 - 165718*v = 0 for v.
-2, -1, 0, 133, 623
Suppose 4*w**3 + 1862904*w**2 - 1862908*w = 0. What is w?
-465727, 0, 1
Let v**2/2 + 7455*v/2 - 3630572 = 0. What is v?
-8327, 872
Let 2*r**5 + 1182*r**4 + 12074*r**3 - 1066302*r**2 - 6589276*r - 5512080 = 0. What is r?
-579, -34, -5, -1, 28
Let -4*a**2 + 203620*a - 11390176 = 0. What is a?
56, 50849
Find b, given that 70*b**4/11 - 189426*b**3/11 - 742624*b**2/11 + 227640*b/11 = 0.
-21/5, 0, 2/7, 2710
Find h, given that -5*h**2 + 44505290*h - 133515825 = 0.
3, 8901055
Solve -5*t**3 - 300240*t**2 - 31768180*t + 64737360 = 0 for t.
-59942, -108, 2
Factor z**2 + 25380134*z.
z*(z + 25380134)
Determine h, given that 94*h**3/9 + 9658*h**2/9 - 189848*h/9 + 60032/3 = 0.
-5628/47, 1, 16
Factor -l**2/8 + 3137231*l - 19684436694722.
-(l - 12548924)**2/8
Suppose 4*a**4/9 + 21722*a**3/9 + 205978*a**2/9 - 36140*a/3 = 0. What is a?
-5421, -10, 0, 1/2
Suppose -4*d**3/3 - 4674824*d**2 - 4097705288844*d - 147511331888688 = 0. What is d?
-1753041, -36
Solve -2*h**5/5 - 56574*h**4/5 + 1472178*h**3/5 - 2774626*h**2/5 + 1359024*h/5 = 0.
-28313, 0, 1, 24
Factor -5*u**4 + 1035*u**3 + 5*u**2 - 1035*u.
-5*u*(u - 207)*(u - 1)*(u + 1)
Suppose r**4 + 5365216*r**3 + 10730424*r**2 - 21460864*r - 42921712 = 0. Calculate r.
-5365214, -2, 2
Solve 314*l**4 - 1793*l**3 - 4842*l**2 = 0.
-2, 0, 2421/314
Suppose -3*k**4 - 6246*k**3 - 56043*k**2 - 149316*k - 124380 = 0. What is k?
-2073, -5, -2
Suppose -2*n**5 + 18641*n**4/2 + 355048*n**3 - 3279873*n**2/2 + 1571544*n - 295974 = 0. What is n?
-42, 1/4, 1, 3, 4698
Find h, given that -3*h**3 - 84171*h**2 + 6076308*h + 12489276 = 0.
-28129, -2, 74
Factor h**2 + 27122*h + 31551072.
(h + 1218)*(h + 25904)
Solve 4*z**4 - 47248*z**3 - 1896652*z**2 + 3935032*z - 1991136 = 0.
-42, 1, 11852
Factor 2*d**2/9 + 1247810*d/9 + 1247804/3.
2*(d + 3)*(d + 623902)/9
Factor 2*x**2/3 + 16120*x + 2268502/3.
2*(x + 47)*(x + 24133)/3
Find b, given that 2*b**2/7 - 6512504*b/7 = 0.
0, 3256252
Factor -2*x**2 - 25317736*x - 80123469520712.
-2*(x + 6329434)**2
Factor -803*t**4 + 643*t**3 + 1926*t**2.
-t**2*(t - 2)*(803*t + 963)
Solve 20*b**5 - 892*b**4 - 20252*b**3 - 83012*b**2 + 57288*b = 0.
-11, -7, 0, 3/5, 62
Factor -3*d**2/2 - 270211242*d - 12169019217197094.
-3*(d + 90070414)**2/2
Factor -3*n**2 + 5217573*n + 5217576.
-3*(n - 1739192)*(n + 1)
Find o, given that 3*o**3/4 - 9903*o**2/2 + 32211267*o/4 - 8047866 = 0.
1, 2897, 3704
Factor a**2 - 776259*a + 1552514.
(a - 776257)*(a - 2)
Determine n, given that -2*n**2/5 - 43084*n/5 = 0.
-21542, 0
Factor -n**2/7 - 77358*n/7 + 232083/7.
-(n - 3)*(n + 77361)/7
Let -14*x**5/5 + 668*x**4/5 - 7032*x**3/5 - 25136*x**2/5 + 63296*x/5 + 19968/5 = 0. What is x?
-4, -2/7, 2, 24, 26
Factor 2*o**2 - 254552*o - 509112.
2*(o - 127278)*(o + 2)
Let -s**2/6 + 448295*s/3 = 0. What is s?
0, 896590
Determine d so that 3*d**3 + 365685*d**2 + 1097016*d - 1462704 = 0.
-121892, -4, 1
Let 4*y**4/5 + 90444*y**3/5 + 102477300*y**2 + 12764568244*y/5 + 64276051896/5 = 0. What is y?
-11293, -18, -7
Solve 5*j**5 - 2195*j**4 + 38325*j**3 - 183325*j**2 + 79270*j + 303120 = 0.
-1, 2, 8, 9, 421
Factor 5*v**3 + 1397735*v**2 + 6988570*v + 5590840.
5*(v + 1)*(v + 4)*(v + 279542)
Suppose -r**2/3 + 17452278*r - 228436505541963 = 0. What is r?
26178417
Determine x so that 2*x**2/9 - 639392*x = 0.
0, 2877264
Factor -w**3/2 - 369321*w**2 + 738644*w.
-w*(w - 2)*(w + 738644)/2
Let -z**3 - 34374*z**2 + 1169839*z - 1135464 = 0. Calculate z.
-34408, 1, 33
What is f in -f**5/2 + 1311671*f**4/2 - 5246663*f**3 + 14428305*f**2 - 31479921*f/2 + 11804967/2 = 0?
1, 3, 1311663
Factor -2*h**2/7 + 9795404*h/7 - 11993742440402/7.
-2*(h - 2448851)**2/7
Let 2*p**5 - 194*p**4 + 4364*p**3 - 28560*p**2 = 0. What is p?
0, 14, 15, 68
Suppose 4*l**4 - 799060*l**3 - 2397216*l**2 = 0. Calculate l.
-3, 0, 199768
Factor 3*n**5 - 125529*n**4 - 4648680*n**3.
3*n**3*(n - 41880)*(n + 37)
Determine d so that -3*d**3 + 33081*d**2 + 27177987*d - 27211065 = 0.
-769, 1, 11795
Suppose -2*u**3/7 - 72960*u**2/7 + 2775294*u/7 - 2702332/7 = 0. What is u?
-36518, 1, 37
Factor 35*r**2 + 352684090*r + 100766880.
5*(r + 10076688)*(7*r + 2)
Suppose 4*s**2/3 + 110*s/9 - 136/3 = 0. What is s?
-12, 17/6
Let 373*g**5/6 + 1493*g**4/6 + 623*g**3/2 + 751*g**2/6 + g/3 = 0. Calculate g.
-2, -1, -1/373, 0
Find r such that -3*r**4/5 + 172032*r**3 - 61657128927*r**2/5 + 123303936054*r/5 + 493243269144/5 = 0.
-2, 4, 143359
Let 58061*l**4/5 + 1196057*l**3 + 44126566*l**2/5 + 304*l = 0. Calculate l.
-95, -8, -2/58061, 0
Suppose -5*k**3 + 73965*k**2 - 7066080*k + 169309440 = 0. What is k?
48, 14697
Suppose -126573*n**2/7 + 1012734*n/7 - 1200/7 = 0. What is n?
50/42191, 8
Find h, given that h**2/5 + 20130844*h/5 + 40261684/5 = 0.
-20130842, -2
Factor y**3/4 + 314*y**2 - 411041*y/4 - 311100.
(y - 272)*(y + 3)*(y + 1525)/4
Let -b**5/3 + 425*b**4/3 + 463*b**3/3 - 15797*b**2/3 + 4970*b = 0. Calculate b.
-7, 0, 1, 5, 426
Solve 2*q**3/11 - 190722*q**2/11 + 4543138800*q/11 + 177472620000/11 = 0 for q.
-39, 47700
Let 126*t**5 - 30171*t**4 - 170184*t**3 - 262131*t**2 - 64860*t + 44100 = 0. Calculate t.
-3, -2, -5/6, 2/7, 245
Factor 2*h**2/3 + 42171268*h/3 + 222301980590978/3.
2*(h + 10542817)**2/3
Solve 3*h**2/5 + 94792674*h/5 + 748804253672523/5 = 0 for h.
-15798779
Suppose -3*c**5 - 744*c**4 + 20211*c**3 + 171336*c**2 + 213936*c - 404736 = 0. What is c?
-272, -4, 1, 31
Factor -2*d**3/3 + 2716*d**2/3 - 1172600*d/3 + 52030000.
-2*(d - 550)**2*(d - 258)/3
Find v such that 2*v**4 - 47710*v**3 - 20255102*v**2 - 2100210866*v + 6484216524 = 0.
-211, 3, 24274
Solve 3*k**4/8 - 25653*k**3/4 - 102693*k**2/2 + 282333*k - 307980 = 0 for k.
-12, 2, 17110
What is y in -y**3/5 + 282954*y**2/5 - 20021116572*y/5 + 760393899032/5 = 0?
38, 141458
Suppose -5*p**2/2 + 18510*p - 553050 = 0. Calculate p.
