-2*l**2/11 + 4454*l/11 - 2341952/11.
-2*(l - 1376)*(l - 851)/11
Determine t so that 4*t**2 - 112408*t - 22527596 = 0.
-199, 28301
Factor -z**2/4 - 2809889*z/8 - 4214829/8.
-(z + 1404943)*(2*z + 3)/8
Factor 4*u**2 + 47785776*u + 142717524245136.
4*(u + 5973222)**2
Determine p, given that -2*p**3/5 - 4161954*p**2/5 - 433046943648*p - 2165230556288/5 = 0.
-1040488, -1
Factor -3*b**3 - 62034*b**2 + 3982464*b.
-3*b*(b - 64)*(b + 20742)
Solve 2*k**4/5 + 216456*k**3 + 10822554*k**2/5 - 24891956*k/5 + 2597424 = 0 for k.
-541130, -12, 1
Factor -z**2/8 - 109216*z + 436865/2.
-(z - 2)*(z + 873730)/8
Let -6*q**5/7 + 4462*q**4/7 - 11822*q**3/7 - 25198*q**2/7 + 2948*q/7 + 11856/7 = 0. What is q?
-1, 2/3, 4, 741
Solve -24*r**5 - 77934588*r**4 + 116901918*r**3 - 58450965*r**2 + 9741828*r = 0.
-3247276, 0, 1/2
Determine g, given that g**3/2 - 4335*g**2/2 - 78373*g/2 + 82707/2 = 0.
-19, 1, 4353
Factor -3*i**2 + 76096752*i - 152193492.
-3*(i - 25365582)*(i - 2)
Find b such that -3*b**4/4 + 22655499*b**3/4 - 67966479*b**2/4 + 67966473*b/4 - 11327745/2 = 0.
1, 7551830
Determine g, given that -4*g**5 + 38228*g**4 + 842468*g**3 + 4635228*g**2 + 9654912*g + 6896880 = 0.
-15, -3, -2, 9579
Factor -5*s**2 - 6833620*s - 20500815.
-5*(s + 3)*(s + 1366721)
Solve -3*d**4 - 6588*d**3 - 654207*d**2 - 3146058*d - 3727944 = 0.
-2092, -99, -3, -2
Let -2*q**5 - 108084*q**4 + 15160624*q**3 - 559988160*q**2 + 2004300544*q = 0. What is q?
-54182, 0, 4, 68
Determine w so that w**2/5 - 134*w + 92061/5 = 0.
193, 477
Factor 2*h**2 - 410844*h - 3286880.
2*(h - 205430)*(h + 8)
Factor 94*f**3/7 + 264144*f**2/7 + 185569590*f/7 + 7896100/7.
2*(f + 1405)**2*(47*f + 2)/7
Suppose 3*a**2 - 567486*a - 192722517 = 0. Calculate a.
-339, 189501
Factor -2*r**2/3 + 4940608*r/3 + 4940614.
-2*(r - 2470307)*(r + 3)/3
Solve -2*t**4/3 - 542*t**3/3 - 32396*t**2/3 - 58200*t + 5670000 = 0.
-189, -50, 18
Factor -20*m**2 + 718152*m + 287264.
-4*(m - 35908)*(5*m + 2)
Find s, given that -s**4/6 + 3573*s**3/2 + 222487*s**2/2 + 10360541*s/6 = 0.
-31, 0, 10781
Factor -n**4 + 41043*n**3 - 421070391*n**2 - 1263580587*n.
-n*(n - 20523)**2*(n + 3)
Factor -28648*p**2 - 10227354*p - 6426.
-2*(p + 357)*(14324*p + 9)
Let 82*w**5 - 76500*w**4 + 23863782*w**3 - 2512037260*w**2 + 7144650600*w + 536238000 = 0. What is w?
-3/41, 3, 310
Determine x, given that -2*x**3/9 + 18044*x**2/3 - 811582*x/9 + 468884/3 = 0.
2, 13, 27051
Suppose 2*c**3/7 - 1208236*c**2/7 + 26070366976*c - 4014251749376/7 = 0. Calculate c.
22, 302048
Factor l**3/4 - 339*l**2/2 - 18279*l/4 - 4400.
(l - 704)*(l + 1)*(l + 25)/4
Factor -h**2/6 + 9755*h/3 + 1665575/6.
-(h - 19595)*(h + 85)/6
Suppose -4*g**3 - 4035104*g**2 + 8070220*g - 4035112 = 0. What is g?
-1008778, 1
Find c such that -1183*c**3/2 + 82975*c**2 - 46223*c/2 + 1610 = 0.
23/169, 1/7, 140
Factor -3757077025*s**2 - 3309930*s - 729.
-(61295*s + 27)**2
Factor -4*p**2 - 70276024*p + 140552064.
-4*(p - 2)*(p + 17569008)
Suppose v**5 + 155237*v**4 + 5276935*v**3 + 5121699*v**2 = 0. What is v?
-155203, -33, -1, 0
What is v in -4*v**3/7 - 34680*v**2/7 - 346484*v/7 - 103920 = 0?
-8660, -7, -3
Let 4*f**5 - 9320*f**4 - 292164*f**3 - 1422216*f**2 + 13267152*f - 18359136 = 0. Calculate f.
-18, 2, 3, 2361
Factor 3*z**3 + 6624*z**2 + 1733451*z + 3440430.
3*(z + 2)*(z + 301)*(z + 1905)
What is k in 365*k**4 - 180615*k**3 + 22597380*k**2 - 62545500*k - 10892880 = 0?
-12/73, 3, 246
Factor k**3/4 + 104477*k**2/4 + 682332742*k + 6138879201.
(k + 9)*(k + 52234)**2/4
Factor 3*m**2 + 44343*m - 3521820.
3*(m - 79)*(m + 14860)
Suppose -2*b**5 + 3398*b**4 - 34940*b**3 - 1425025048*b**2 + 12825797584*b - 11400740992 = 0. What is b?
-562, 1, 8, 1126
Solve y**2 - 136206*y - 544840 = 0.
-4, 136210
Factor 5*i**2 - 14513715*i - 14513720.
5*(i - 2902744)*(i + 1)
Let -7*p**4 + 1468059*p**3 + 4823678*p**2 + 4194516*p + 838904 = 0. Calculate p.
-2, -1, -2/7, 209726
Find u, given that 2*u**3 - 13250*u**2 + 12350974*u - 12337726 = 0.
1, 1121, 5503
Let -4*o**3 - 20872*o**2 - 477508*o + 2244240 = 0. What is o?
-5195, -27, 4
Factor 3*g**3 + 41034*g**2 + 3830967*g + 3789936.
3*(g + 1)*(g + 93)*(g + 13584)
Suppose 278*d**4/3 - 4610*d**3/3 + 2254*d**2 - 810*d = 0. What is d?
0, 81/139, 1, 15
Factor 4*z**3 - 2756*z**2 + 122064*z - 878256.
4*(z - 642)*(z - 38)*(z - 9)
What is g in g**5/2 - 20193*g**4/4 + 417343*g**3/2 - 1216695*g**2/4 + 100550*g = 0?
0, 1/2, 1, 40, 10055
Factor n**3 + 11820205*n**2 - 23640413*n + 11820207.
(n - 1)**2*(n + 11820207)
Factor -3*b**3/7 - 4951155*b**2/7 - 2042825510589*b/7 + 2042830461747/7.
-3*(b - 1)*(b + 825193)**2/7
Determine f, given that -21*f**5/4 + 549*f**4/2 - 5163*f**3/4 - 1491*f**2/2 + 5247*f - 1410 = 0.
-2, 2/7, 2, 5, 47
Factor -a**2/10 + 147023883*a/5 - 21616022172397689/10.
-(a - 147023883)**2/10
Solve -7*k**5/3 + 202831*k**4/6 + 36238*k**3 - 673781*k**2/3 + 615793*k/3 - 101423/2 = 0 for k.
-7/2, 3/7, 1, 14489
Solve -k**4/7 - 1488*k**3/7 - 128147*k**2/7 + 397860*k/7 = 0 for k.
-1396, -95, 0, 3
Factor -u**2 + 947789*u - 3791140.
-(u - 947785)*(u - 4)
Suppose -2*c**3/11 - 2700088*c**2/11 - 911301300650*c/11 + 5467905007500/11 = 0. Calculate c.
-675025, 6
Factor 3*b**4/2 + 1775961*b**3 + 1051342272579*b**2/2 - 1051347600468*b + 525674688216.
3*(b - 1)**2*(b + 591988)**2/2
What is k in 3*k**5 - 27597*k**4 + 6738588*k**3 - 6655812*k**2 - 13422000*k = 0?
-1, 0, 2, 250, 8948
Let y**2/5 - 86535444*y/5 + 1872095767069284/5 = 0. What is y?
43267722
Factor 5*d**3 - 2655*d**2 - 214310*d + 4386000.
5*(d - 600)*(d - 17)*(d + 86)
Factor 5202*s**3/5 - 1399746*s**2/5 + 21952*s - 2152/5.
2*(s - 269)*(51*s - 2)**2/5
Suppose 2*q**5/5 + 982*q**4/5 - 12018*q**3/5 + 5474*q**2 + 103952*q/5 - 338016/5 = 0. What is q?
-503, -3, 4, 7
Suppose -4*z**5 + 116*z**4 + 1532*z**3 - 19588*z**2 - 292264*z - 906304 = 0. Calculate z.
-8, -7, 17, 34
Factor -o**2/3 + 4347436*o/3 - 4347433.
-(o - 4347433)*(o - 3)/3
Factor -4*a**2/3 + 56710064*a/3 + 18903356.
-4*(a - 14177517)*(a + 1)/3
Factor -j**3/5 + 2174*j**2/5 + 97508*j/5 + 186312/5.
-(j - 2218)*(j + 2)*(j + 42)/5
Let 3*q**2 - 725243*q - 241748 = 0. Calculate q.
-1/3, 241748
Factor 2*o**4 - 923630*o**3 - 360418500*o**2 - 46863193000*o - 2030928770000.
2*(o - 462205)*(o + 130)**3
Factor -4*a**2/5 + 1430480*a.
-4*a*(a - 1788100)/5
Determine n, given that -4*n**5 + 3680*n**4 - 816500*n**3 - 13729640*n**2 - 67092480*n - 85857408 = 0.
-7, -2, 468
Factor 2*j**2 + 1592*j - 557034.
2*(j - 263)*(j + 1059)
Let -4*m**3 - 2061680*m**2 + 16*m + 8246720 = 0. Calculate m.
-515420, -2, 2
Factor -4*v**2 - 5817416*v - 87260340.
-4*(v + 15)*(v + 1454339)
What is i in -9*i**5/4 + 159771*i**4/4 - 3232873*i**3 - 16258788*i**2 + 25941544*i - 9118236 = 0?
-6, 2/3, 86, 17671
What is w in 5*w**3 + 3815*w**2 + 111075*w + 824625 = 0?
-733, -15
Find s, given that 4*s**2 + 8169560*s + 40847700 = 0.
-2042385, -5
Find y such that y**4/5 + 468*y**3/5 + 5089*y**2 - 28734*y/5 - 31104 = 0.
-405, -64, -2, 3
Let 2*u**3/13 + 16184*u**2/13 + 1011654*u/13 = 0. What is u?
-8029, -63, 0
Factor 20*k**2 + 377528*k + 2415360.
4*(k + 18870)*(5*k + 32)
Factor 2*y**3/11 + 54540*y**2/11 - 218184*y/11 + 218192/11.
2*(y - 2)**2*(y + 27274)/11
Solve 8*p**3/5 + 3203*p**2/5 - 2538847*p/5 - 5090442/5 = 0.
-6379/8, -2, 399
Determine p so that p**2 - 704736*p + 16913088 = 0.
24, 704712
Factor 5*h**2/4 + 23905*h/4 - 2231115.
5*(h - 348)*(h + 5129)/4
Suppose g**3/4 + 36149*g**2/4 - 1519905*g/4 + 4234347/4 = 0. Calculate g.
-36191, 3, 39
Let -q**4/10 + 155952*q**3/5 - 467853*q**2/5 + 467852*q/5 - 311901/10 = 0. Calculate q.
1, 311901
Factor 2*z**2 + 3986*z + 1967784.
2*(z + 901)*(z + 1092)
Determine o so that 4*o**2 - 27730320*o + 27730316 = 0.
1, 6932579
Determine v, given that 5*v**3 + 62805*v**2 + 191088720*v - 38823974080 = 0.
-6376, 191
Find y, given that -2*y**5 - 1374*y**4/5 + 121252*y**3/5 + 2936336*y**2 - 305442816*y/5 - 24903680 = 0.
-128, -2/5, 19, 100
Factor w**3/3 - 1550*w**2/3 - 104129*w/3 - 455430.
(w - 1615)*(w + 18)*(w + 47)/3
What is f in -3*f**5/2 + 1043*f**4/2 + 13009*f**3 - 8904*f**2 = 0?
-24, 0, 2/3, 371
Factor 3*v**3 - 221611071*v**2 + 886444248*v - 886444236.
3*(v - 73870353)*(v - 2)**2
Find n such that 5*n**3 + 3370*n**2 - 159795*n + 1423620 = 0.
-719, 12, 33
Factor -5*s**2 + 24236700*s - 29370881344500.
-5*(s - 2423670