2*(f - 17749808)**2
Factor 3*u**2 - 2206672596*u + 405783662161448268.
3*(u - 367778766)**2
Factor m**3/4 + 37619*m**2/4 + 88350490*m - 1859510100.
(m - 21)*(m + 18820)**2/4
Determine b, given that -3*b**2/4 - 1689*b/2 + 2281425/4 = 0.
-1601, 475
Suppose -497472*y**3 - 2984837*y**2 + 7959522*y + 80 = 0. Calculate y.
-8, -5/497472, 2
Let -35*b**2 - 3532481*b - 100928 = 0. Calculate b.
-100928, -1/35
Solve -3*n**4 - 3705*n**3 + 609462*n**2 = 0.
-1382, 0, 147
Let 2*p**3/21 + 258*p**2/7 + 58528*p/21 + 15416 = 0. What is p?
-287, -94, -6
Solve 2*w**3/5 - 4834*w**2/5 - 353588*w/5 + 726496/5 = 0 for w.
-73, 2, 2488
Factor 4*w**2 - 11136*w - 37058980.
4*(w - 4739)*(w + 1955)
Determine j, given that 2*j**2/13 - 10904*j/13 + 367854 = 0.
481, 4971
Find t, given that 2*t**5/3 - 174*t**4 + 6378*t**3 + 356642*t**2/3 - 5423968*t - 5536296 = 0.
-27, -1, 38, 213
Suppose 2*q**5/5 - 766*q**4/5 + 15952*q**3 - 1135576*q**2/5 - 13022464*q/5 + 220473344/5 = 0. What is q?
-13, 16, 182
Let 3*m**4/5 - 7632*m**3/5 - 138681*m**2/5 + 853422*m/5 - 707112/5 = 0. Calculate m.
-23, 1, 4, 2562
Suppose -1102*t**2 - 18221558*t + 198420 = 0. What is t?
-16535, 6/551
Determine l, given that 2*l**4/7 - 20420*l**2/7 + 81600*l/7 - 61182/7 = 0.
-103, 1, 3, 99
Factor -7*v**2 + 876994*v - 3382587.
-(v - 125281)*(7*v - 27)
Suppose -2*k**5/3 + 1934*k**4/9 - 34496*k**3/3 + 1637560*k**2/9 - 1136000*k/3 + 208000 = 0. Calculate k.
1, 4/3, 30, 260
Factor -5*a**3 + 1816535*a**2 - 164994511555*a + 824927145025.
-5*(a - 181651)**2*(a - 5)
Find t, given that 2*t**3/13 - 25782*t**2/13 + 8632336*t/13 = 0.
0, 344, 12547
Factor 5*h**2 - 353570*h + 68052765.
5*(h - 70521)*(h - 193)
What is k in 216*k**5 - 21103884*k**4 + 7034187*k**3/2 + 41914659*k**2/2 - 7034619*k/2 + 293109/2 = 0?
-1, 1/12, 1, 97703
Let 3*p**5/2 - 3931*p**4/2 + 1295*p**3/2 + 19671*p**2/2 - 13759*p + 5240 = 0. What is p?
-8/3, 1, 1310
Solve -2*w**4/9 + 84358*w**3/9 - 37490*w**2 + 421754*w/9 - 168700/9 = 0.
1, 2, 42175
Factor -4*q**4 - 1009032*q**3 - 63633089520*q**2 + 127270215200*q.
-4*q*(q - 2)*(q + 126130)**2
Solve -5*o**4 + 4270*o**3 - 717895*o**2 + 1418750*o = 0 for o.
0, 2, 227, 625
Let 4*l**3 - 31516*l**2 + 722440*l + 2451072 = 0. What is l?
-3, 26, 7856
Factor -2*x**3 + 27946*x**2 + 5899296*x.
-2*x*(x - 14181)*(x + 208)
Factor -33*n**2 + 1958049*n + 59127540.
-3*(n - 59365)*(11*n + 332)
Suppose 198*h**5/7 + 166818*h**4/7 - 179550*h**3 + 2420454*h**2/7 - 1738620*h/7 + 408000/7 = 0. Calculate h.
-850, 16/33, 1, 5
Factor 4*s**3 + 179604*s**2 + 897720*s - 8979200.
4*(s - 5)*(s + 10)*(s + 44896)
Factor f**2/3 + 54056488*f/3 + 108112972/3.
(f + 2)*(f + 54056486)/3
Determine g, given that 5*g**3 + 651800*g**2 - 158027215*g + 157375410 = 0.
-130602, 1, 241
Suppose 2*c**5/5 - 1974*c**4/5 - 75386*c**3/5 - 398802*c**2/5 - 571392*c/5 = 0. What is c?
-31, -3, 0, 1024
Solve -2*g**2 + 4167726*g - 25006284 = 0.
6, 2083857
Suppose 2*f**2/3 - 893006*f/3 + 1786004/3 = 0. Calculate f.
2, 446501
Solve -35*x**3 - 8638680*x**2 + 13575135*x - 4936420 = 0.
-246821, 4/7, 1
Suppose h**2/5 + 70971*h + 354854/5 = 0. Calculate h.
-354854, -1
Factor -4*p**3 - 104020*p**2 - 37535496*p.
-4*p*(p + 366)*(p + 25639)
Determine h so that 3*h**3/4 + 127227*h**2/2 - 1272327*h/4 + 763407/2 = 0.
-84823, 2, 3
Find m, given that 24232*m**4/5 + 424056*m**3/5 + 205902*m**2/5 - 34*m/5 = 0.
-17, -1/2, 0, 1/6058
Factor 2*a**3 + 10404*a**2 + 6661686*a - 6672092.
2*(a - 1)*(a + 749)*(a + 4454)
Factor -2*p**3 - 560*p**2 + 111592*p - 648960.
-2*(p - 130)*(p - 6)*(p + 416)
Find g such that 3*g**3/2 - 30705*g**2 - 6667599*g/2 + 3364503 = 0.
-109, 1, 20578
Determine l so that -4*l**2 + 737456*l + 737460 = 0.
-1, 184365
Factor -3*o**4 - 10102311*o**3 + 30306951*o**2 - 30306957*o + 10102320.
-3*(o - 1)**3*(o + 3367440)
Solve -4*o**2 - 150793032*o - 1421158656234564 = 0.
-18849129
Find o such that -o**4/6 + 24566*o**3/3 + 24567*o**2 + 73702*o/3 + 49135/6 = 0.
-1, 49135
Factor 3*n**2/4 + 66987*n + 2947065/4.
3*(n + 11)*(n + 89305)/4
Determine t so that -t**5 - 313*t**4 + 10794*t**3 - 84902*t**2 - 10793*t + 85215 = 0.
-345, -1, 1, 13, 19
Factor -z**5/2 + 132437*z**4 - 11693083458*z**3 + 344139139164107*z**2 - 688254892426171*z/2.
-z*(z - 88291)**3*(z - 1)/2
Factor -238144*w**2 + 2435120*w - 6225025.
-(488*w - 2495)**2
Factor -4*b**2/3 - 4800*b + 8034724/3.
-4*(b - 491)*(b + 4091)/3
Factor -2*o**3 - 14214*o**2 - 2561140*o.
-2*o*(o + 185)*(o + 6922)
What is n in -16*n**4/9 - 2284*n**3/9 + 2516*n**2/3 - 6416*n/9 + 1168/9 = 0?
-146, 1/4, 1, 2
Factor 72*b**3 + 31800*b**2 - 93911614*b - 58692517352.
2*(b - 1204)*(6*b + 4937)**2
Suppose 5*i**5 - 3120*i**4 + 337140*i**3 + 46986640*i**2 + 1019916480*i - 4852235520 = 0. Calculate i.
-44, 4, 354
Factor 1182106880*v**2 + 201579360*v + 8593605.
5*(15376*v + 1311)**2
Determine a so that a**3 + 5470*a**2 - 1613972*a + 116023656 = 0.
-5754, 142
Suppose -t**5/3 + 1184*t**4 + 342497*t**3 + 79424290*t**2/3 + 360268448*t + 1358260608 = 0. Calculate t.
-129, -8, 3826
Find f such that -3*f**5/2 + 2153721*f**4/2 - 2153709*f**3 - 4307433*f**2 + 4307421*f/2 + 6461145/2 = 0.
-1, 1, 3, 717905
Let -2*h**3/5 - 296*h**2/5 - 1352*h/5 + 194304/5 = 0. What is h?
-138, -32, 22
Suppose q**3/4 + 3237*q**2/2 + 25823*q - 58122 = 0. Calculate q.
-6458, -18, 2
Factor b**3/2 + 6941*b**2 - 2981370*b + 315359100.
(b - 210)**2*(b + 14302)/2
Determine u, given that 2*u**4/5 + 1022*u**3/5 + 3784*u**2 + 110592*u/5 + 188928/5 = 0.
-492, -8, -3
Solve 5*f**5 - 12725*f**4 + 8025250*f**3 + 91337300*f**2 - 960161400*f - 2221266240 = 0 for f.
-17, -2, 8, 1278
Factor 2*f**3/3 - 29710*f**2/3 + 104073200*f/3 + 15718563000.
2*(f - 7630)**2*(f + 405)/3
Suppose j**5/5 - 96*j**4/5 - 4651*j**3/5 + 442218*j**2/5 + 564480*j - 3259872/5 = 0. Calculate j.
-66, -7, 1, 84
Factor 2*l**2/9 + 645292*l/9.
2*l*(l + 322646)/9
Suppose 11*j**3 + 381874*j**2 - 1979087*j + 347210 = 0. What is j?
-34721, 2/11, 5
Determine c so that -2*c**5 - 4232*c**4 - 104842*c**3 - 610540*c**2 + 68448*c + 3211776 = 0.
-2091, -16, -8, -3, 2
Solve -16*z**4 - 42619792*z**3 - 28382000530564*z**2 - 28381968565728*z - 7095489477696 = 0.
-1331868, -1/2
Factor i**4/4 - 2241*i**3/4 - 9*i**2 + 20169*i.
i*(i - 2241)*(i - 6)*(i + 6)/4
Let -4*j**2 - 36653328*j - 83966653342224 = 0. Calculate j.
-4581666
Factor z**2 + 6269*z + 6683334.
(z + 1362)*(z + 4907)
Solve -4*z**4 - 4472*z**3 - 223136*z**2 + 7116032*z = 0.
-1064, -76, 0, 22
Solve 2*d**4/9 - 6008*d**3/3 - 90220*d**2/3 - 1353800*d/9 - 250750 = 0.
-5, 9027
Factor 4*v**3/3 + 963292*v**2/3 + 65489984*v/3 + 1113251120/3.
4*(v + 34)**2*(v + 240755)/3
Let -5*j**5 - 830*j**4 + 13340*j**3 - 43210*j**2 - 119655*j + 456120 = 0. Calculate j.
-181, -3, 3, 7, 8
Let -3*r**4 + 48*r**3 + 2661*r**2 - 44370*r = 0. What is r?
-30, 0, 17, 29
What is o in -4*o**5 - 8444*o**4 - 4526248*o**3 - 72492792*o**2 + 1068631020*o - 2959764300 = 0?
-1047, -27, 5
Solve -269727*a**2 - 539436*a + 36 = 0 for a.
-2, 6/89909
Factor 2*f**2/9 - 134801132*f/9 + 2271418148560178/9.
2*(f - 33700283)**2/9
Factor 3*n**2 - 729768*n + 2919024.
3*(n - 243252)*(n - 4)
Factor -150*f**2 - 13318040*f - 886850947208/3.
-2*(15*f + 665902)**2/3
Factor -2*m**4 + 1630*m**3 + 4904*m**2 + 3272*m.
-2*m*(m - 818)*(m + 1)*(m + 2)
Factor h**3 - 8005645*h**2 + 16022591969328*h - 16022583963684.
(h - 4002822)**2*(h - 1)
Let -8*n**4/3 + 2215*n**3/3 + 277*n**2/3 = 0. What is n?
-1/8, 0, 277
Factor z**2/3 - 4067*z/3 - 28616.
(z - 4088)*(z + 21)/3
Let 24*b**2 + 469875*b - 6053619 = 0. Calculate b.
-19591, 103/8
Solve f**2/2 + 5175*f - 3481928 = 0.
-10984, 634
Let k**2 - 163554*k + 1635440 = 0. What is k?
10, 163544
Let -2*k**5/21 - 11292*k**4/7 + 4088596*k**3/21 - 30309784*k**2/7 - 274355486*k/3 - 357342356 = 0. What is k?
-17058, -7, 67
Factor 2*k**2 + 188649100*k + 4448560366351250.
2*(k + 47162275)**2
Factor -2*q**3 - 6223906*q**2 - 4842128849056*q - 4842122625152.
-2*(q + 1)*(q + 1555976)**2
Determine k so that 4*k**4 + 1900*k**3 + 93076*k**2 + 1543668*k + 8188488 = 0.
-422, -21, -11
Factor 3*h**2 - 33414*h - 1274064.
3*(h - 11176)*(h + 38)
Let -28*w**4 + 9736*w**3 + 298228*w**2 - 4385536*w - 4674000 = 0. What is w?
-38, -1, 82/7, 375
Find s such that -20*s**4 + 48245*s**3 + 8773620*s**2 - 19960580*s + 4441040 = 0.
-172, 1/4, 2, 2582
Factor 3*q**