
Suppose -u**3 - 23303*u**2 + 116540*u = 0. Calculate u.
-23308, 0, 5
Let 3*m**3 + 10140*m**2 - 1306656*m - 11100672 = 0. Calculate m.
-3504, -8, 132
Factor -4*w**3 - 3623796*w**2 + 123212532*w - 1047316348.
-4*(w - 17)**2*(w + 905983)
Factor 2*r**4/7 + 9684*r**3/7 + 125554*r**2/7.
2*r**2*(r + 13)*(r + 4829)/7
Factor 52*q**3 - 5772316*q**2 + 160190760492*q - 12322332036.
4*(q - 55503)**2*(13*q - 1)
Solve -2*u**3/7 + 776*u**2/7 - 63912*u/7 - 411840/7 = 0 for u.
-6, 130, 264
Factor -5*b**4/2 - 397587*b**3/2 - 79517*b**2.
-b**2*(b + 79517)*(5*b + 2)/2
Solve 2*r**5 - 2398*r**4 + 21224*r**3 + 233960*r**2 - 855904*r - 1066240 = 0 for r.
-8, -1, 4, 14, 1190
Let -2*t**5/21 + 2346*t**4/7 - 6380344*t**3/21 + 328789256*t**2/21 + 343711936*t/7 + 695959168/21 = 0. Calculate t.
-2, -1, 58, 1732
Factor -2*f**2/17 + 2663072*f/17 - 55923630/17.
-2*(f - 1331515)*(f - 21)/17
Factor 3*f**2 - 12511170*f + 13044114564075.
3*(f - 2085195)**2
Suppose 4*a**4 - 1860*a**3 + 197316*a**2 + 16717428*a - 2754517752 = 0. Calculate a.
-102, 189
What is m in 84*m**2 - 2375858*m + 56568 = 0?
1/42, 28284
What is n in -5*n**3 - 318793835*n**2 - 5081475621097275*n - 5081475302303445 = 0?
-31879383, -1
Let -k**4 - 167596*k**3/3 - 2375445674*k**2/3 - 322292553652*k - 107342873817 = 0. What is k?
-27723, -419, -1/3
Factor 2*d**2 + 444936*d + 444934.
2*(d + 1)*(d + 222467)
Suppose -c**4/7 + 5357*c**3/7 + 11596195*c**2/7 - 5357*c/7 - 11596194/7 = 0. What is c?
-1654, -1, 1, 7011
Factor -g**3 + 679017*g**2.
-g**2*(g - 679017)
Let -162*b**4/19 - 38268*b**3/19 - 2745416*b**2/19 - 51331280*b/19 + 13249600 = 0. Calculate b.
-910/9, -38, 4
Determine a, given that -3721*a**3/6 - 545238374*a**2/3 - 71506648*a/3 - 2344480/3 = 0.
-293060, -4/61
Determine p so that 3*p**4 + 30846*p**3 + 79566471*p**2 + 1421635848*p - 1501233168 = 0.
-5132, -19, 1
Find q such that -2*q**5/7 - 1928*q**4/7 - 527362*q**3/7 - 30287980*q**2/7 - 74348616*q - 923916816/7 = 0.
-447, -34, -2
Factor 3*y**4/2 + 221187*y**3/2 + 1326960*y**2 + 3980718*y.
3*y*(y + 6)**2*(y + 73717)/2
Factor -3*d**2/7 - 64740*d/7 - 266143212/7.
-3*(d + 5526)*(d + 16054)/7
Factor y**3/6 + 36642677*y**2/6 + 73285351*y/6 + 12214225/2.
(y + 1)**2*(y + 36642675)/6
What is t in -5*t**4 + 4954520*t**3 + 312154605*t**2 = 0?
-63, 0, 990967
Factor m**3/9 + 55408*m**2/9 - 277079*m/9 - 86198.
(m - 7)*(m + 2)*(m + 55413)/9
Factor w**2/2 - 6962811*w/2 + 41776794.
(w - 6962799)*(w - 12)/2
Determine z, given that -7958041*z**5/10 + 1074346819*z**4/10 - 20723500436*z**3/5 + 246473997494*z**2/5 - 349453328*z/5 + 123872/5 = 0.
2/2821, 28, 79
Find t, given that 46486*t**2 + 14457140*t - 1866 = 0.
-311, 3/23243
Factor -1846479*k**2/2 - 4616199*k - 15/2.
-3*(k + 5)*(615493*k + 1)/2
Suppose 2*o**2/23 - 24702008*o/23 + 76273649904008/23 = 0. What is o?
6175502
Factor 4*w**3 + 118088752*w**2 - 472355056*w + 472355072.
4*(w - 2)**2*(w + 29522192)
Solve 3*g**5 - 842*g**4 - 1185*g**3 + 15960*g**2 + 32092*g + 15792 = 0.
-4, -1, 14/3, 282
Factor 27*f**3 + 421145*f**2 + 826586*f - 31192.
(f + 2)*(f + 15596)*(27*f - 1)
What is w in -w**5/2 + 10587*w**4/4 - 489235*w**3/4 + 6636345*w**2/4 - 21708603*w/4 + 2313927 = 0?
1/2, 4, 21, 5247
What is w in 2*w**4/13 + 1666*w**3/13 + 24762*w**2 - 326914*w/13 - 647156/13 = 0?
-527, -307, -1, 2
Solve 7*a**5 - 14478*a**4 - 3628164*a**3 + 8360248*a**2 - 2092128*a = 0 for a.
-228, 0, 2/7, 2, 2294
Factor -2*i**3 + 48802*i**2 + 9047280*i.
-2*i*(i - 24585)*(i + 184)
Factor 10*g**3 + 9085*g**2 + 49710*g + 40635.
5*(g + 1)*(g + 903)*(2*g + 9)
Find r such that 14*r**5/13 + 10888*r**4/13 + 929848*r**3/13 - 266560*r**2/13 = 0.
-680, -98, 0, 2/7
Factor -12*r**3/7 + 4358*r**2 - 30422*r.
-2*r*(r - 7)*(6*r - 15211)/7
Factor 2*g**2 - 36482*g + 1964196.
2*(g - 18187)*(g - 54)
Solve -4*w**4 + 184*w**3 + 18244*w**2 - 429304*w - 2577120 = 0 for w.
-59, -5, 26, 84
Solve 35*k**2 - 964970*k - 413565 = 0 for k.
-3/7, 27571
Factor 4*k**3 + 106868*k**2 + 740017184*k + 346969816720.
4*(k + 505)*(k + 13106)**2
Find w such that -4*w**4 - 10508160*w**3 + 136606692*w**2 - 168132160*w - 2017576704 = 0.
-2627053, -3, 8
Determine g, given that -g**4/3 + 781*g**3/3 + 5301*g**2 + 31185*g + 43254 = 0.
-9, -2, 801
Let 5*l**2 + 45945360*l - 735127040 = 0. What is l?
-9189088, 16
Solve -14*o**5/3 - 4006*o**4/3 - 279452*o**3/3 - 2427104*o**2 - 21633792*o - 3041280 = 0.
-198, -40, -24, -1/7
Solve g**5/3 + 4*g**4 - 3386*g**3/3 - 18704*g**2 + 3385*g/3 + 18700 = 0 for g.
-55, -17, -1, 1, 60
Factor -2*n**2/7 - 96347189*n/7 - 6881942.
-(n + 48173594)*(2*n + 1)/7
Suppose 4*a**4 + 113368*a**3 + 842075524*a**2 + 549927761760*a + 94121818689600 = 0. Calculate a.
-13820, -351
Determine m so that 2*m**4/17 + 212*m**3/17 + 1210*m**2/17 + 976*m/17 - 2400/17 = 0.
-100, -4, -3, 1
Factor -5*m**2 + 20050010*m + 20050015.
-5*(m - 4010003)*(m + 1)
Solve 5*p**2 - 1295885*p - 59621290 = 0.
-46, 259223
What is y in -y**2 - 232285*y + 1393746 = 0?
-232291, 6
Factor -4*z**2 - 15873384*z - 15747769975716.
-4*(z + 1984173)**2
Let 56*y**3 - 78774*y**2 + 27729132*y - 18779942 = 0. What is y?
19/28, 703
Determine x so that -x**2/6 + 2376740*x - 8473339541400 = 0.
7130220
Factor -r**2/5 - 2507324*r + 37609869/5.
-(r - 3)*(r + 12536623)/5
Suppose 3*s**3/2 - 114012*s**2 + 97218270*s - 20842297800 = 0. What is s?
430, 75148
Factor -5*m**2 - 827595*m + 14070560.
-5*(m - 17)*(m + 165536)
Find m, given that -4*m**5 - 3088*m**4 - 502908*m**3 + 36074592*m**2 - 481727088*m - 518301504 = 0.
-414, -1, 21, 36
Factor 5*d**2 + 54349250*d + 147692048778125.
5*(d + 5434925)**2
Suppose -2*q**4/7 + 34550*q**3/7 - 21328450*q**2 + 745632250*q/7 = 0. What is q?
0, 5, 8635
Factor 3*h**3 - 6459*h**2 + 367053*h - 5285685.
3*(h - 2095)*(h - 29)**2
Let -3*c**5/5 + 29247*c**4/5 + 1177569*c**3/5 - 5658903*c**2 + 137966166*c/5 = 0. Calculate c.
-58, 0, 9, 9789
What is p in -p**5/2 + 3998*p**4 - 782883*p**3/2 + 4265962*p**2 - 12494446*p + 10992624 = 0?
2, 8, 87, 7897
Factor -2*p**2 + 12688*p + 9737824.
-2*(p - 7036)*(p + 692)
Factor -n**2 - 721373682*n - 130094997270559281.
-(n + 360686841)**2
Factor 3*h**2/5 + 972492*h/5.
3*h*(h + 324164)/5
Let -p**2/10 - 166049*p = 0. Calculate p.
-1660490, 0
Factor -58*j**4 - 2082*j**3 + 67410*j**2 + 2423050*j.
-2*j*(j + 35)**2*(29*j - 989)
Factor 5*w**3 + 100205*w**2 - 212417205*w + 107231652675.
5*(w - 987)**2*(w + 22015)
Factor 85*p**2 + 2229755*p - 10232430.
5*(p + 26237)*(17*p - 78)
Suppose 3*m**4/5 + 192*m**3/5 - 1059*m**2/5 - 324*m + 2484/5 = 0. What is m?
-69, -2, 1, 6
Factor -2*b**2 - 547980*b - 6575472.
-2*(b + 12)*(b + 273978)
Suppose -3*l**2 - 1375446*l - 30258360 = 0. Calculate l.
-458460, -22
Suppose -4*c**4/5 - 55172*c**3/5 - 42238564*c**2 - 140247880828*c/5 - 140036743176/5 = 0. Calculate c.
-6479, -834, -1
What is g in -2*g**4/7 - 460534*g**3/7 - 35350743090*g**2/7 - 904731507729586*g/7 - 1808473375171004 = 0?
-76751, -14
Factor -5*f**3 - 35565*f**2 + 391770*f - 356200.
-5*(f - 10)*(f - 1)*(f + 7124)
Solve 2*u**3 + 1358030*u**2 - 5432162*u - 6790190 = 0.
-679019, -1, 5
Solve -20320*d**4/3 + 701492*d**3/9 - 37830*d**2 + 266*d + 44/9 = 0.
-1/120, 2/127, 1/2, 11
Let -2*h**2/17 - 575400*h - 703555965000 = 0. Calculate h.
-2445450
Factor -2*v**2 + 2940*v - 869200.
-2*(v - 1060)*(v - 410)
Factor -4*k**3 - 2648340*k**2 - 18538184*k.
-4*k*(k + 7)*(k + 662078)
Let -2*n**3/9 - 39856*n**2/9 - 1035170*n/9 - 1764644/3 = 0. What is n?
-19902, -19, -7
Let -j**2/2 + 237895*j + 475791/2 = 0. What is j?
-1, 475791
Factor 75*j**3 - 927960*j**2 + 2719130127*j + 947621939838.
3*(j + 314)*(5*j - 31717)**2
Suppose -3*y**5 - 189513*y**4/2 + 2228547*y**3 + 7112025*y**2/2 = 0. What is y?
-31609, -3/2, 0, 25
Solve 6*i**2 - 1424816*i - 5224406 = 0.
-11/3, 237473
Factor -3*c**3 + 36822*c**2 + 2331693*c.
-3*c*(c - 12337)*(c + 63)
Suppose 4*p**3/9 - 404542*p**2/9 + 1415854*p/9 - 202264/3 = 0. Calculate p.
1/2, 3, 101132
Suppose -3*f**4/2 + 1869*f**3/2 - 120777*f**2/2 - 1380309*f/2 - 628830 = 0. What is f?
-9, -1, 85, 548
Suppose -1776*b**2/7 + 49239*b/7 + 65685/7 = 0. Calculate b.
-755/592, 29
Let 14*p**3/23 - 124442*p**2/23 = 0. Calculate p.
0, 62221/7
Factor -6353046*p**2 - 30120888*p - 107106248/3.
-2*(3087*p + 7318)**2/3
Find a, given that 15*a**5/8 - 136437*a**4/4 - 3658797*a**3/8 - 1856877*a**2/2 - 600765*a