*4/5 + 24681*k**3/5 - 375102*k**2/5 - 843648*k/5 = 0.
-169, -64, -2, 0, 13
Solve 2*g**2 - 98350*g + 5697572 = 0.
58, 49117
Suppose l**2 - 11215765*l + 11215764 = 0. What is l?
1, 11215764
Factor 21*c**2/2 + 1852290*c - 1587681/2.
3*(c + 176409)*(7*c - 3)/2
Let 112*z**5 + 14181712*z**4 + 3142635467588*z**3/7 + 7631618861432*z**2/7 + 2837783635440*z/7 + 288587239200/7 = 0. Calculate z.
-63310, -2, -3/14
Solve 2*a**2/7 + 218*a/7 + 3420/7 = 0 for a.
-90, -19
Factor 5*b**2 + 7937840*b + 15875660.
5*(b + 2)*(b + 1587566)
Let -g**2 - 2158627*g + 10793160 = 0. Calculate g.
-2158632, 5
Solve 3*g**4/5 + 59553*g**3/5 + 1749447*g**2 - 17673141*g/5 + 1773270 = 0.
-19703, -150, 1
Factor -g**4/4 + 2745*g**3/4 - 1860207*g**2/4 - 32421737*g/4.
-g*(g - 1381)**2*(g + 17)/4
Solve -9*u**4/8 + 13791*u**3/4 - 290175*u**2/2 + 95193*u = 0.
0, 2/3, 42, 3022
Suppose -8*j**4 - 4660*j**3 + 2037008*j**2 - 1015004*j - 1017336 = 0. Calculate j.
-874, -1/2, 1, 291
Solve 2*s**2/7 - 509760*s/7 + 1019512/7 = 0.
2, 254878
Factor -a**2/2 + 433206*a - 11263018.
-(a - 866386)*(a - 26)/2
Let -4*z**3 + 7508*z**2 + 84431796*z - 216723579300 = 0. What is z?
-4825, 3351
Factor v**2/2 - 901203*v/2 + 901201.
(v - 901201)*(v - 2)/2
Factor 10*o**2 - 3346*o + 65856.
2*(o - 21)*(5*o - 1568)
Factor -c**2 - 1028888*c - 3086655.
-(c + 3)*(c + 1028885)
Factor 5*k**3 + 3704275*k**2 - 33338880*k.
5*k*(k - 9)*(k + 740864)
What is f in 2*f**3/5 - 6188*f**2/5 + 997248*f/5 - 41291712/5 = 0?
84, 2926
Find p, given that -385*p**4 + 3082*p**3 - 4251*p**2 - 7678*p + 40 = 0.
-1, 2/385, 4, 5
Let -2*h**2/3 + 63278*h/3 - 110722040/3 = 0. What is h?
1859, 29780
Solve 2*h**2 + 6357008*h + 5051443839008 = 0 for h.
-1589252
Find p such that 540*p**4 - 266928*p**3 + 82960*p**2 + 15808*p = 0.
-2/15, 0, 4/9, 494
Let 32*b**4/9 - 1200598*b**3/9 - 7579702*b**2/9 - 4352870*b/3 - 375250 = 0. Calculate b.
-3, -5/16, 37525
Factor 3*d**3/5 - 6389259*d**2/5 + 680379092925*d - 2041125778125.
3*(d - 1064875)**2*(d - 3)/5
What is i in 2*i**2/19 - 4021778*i/19 + 44239316/19 = 0?
11, 2010878
Determine w so that 2*w**3/3 + 15694*w**2/3 + 30764150*w/3 - 30811250 = 0.
-3925, 3
Factor 3*x**3 + 1667067*x**2 - 13336680*x + 26673456.
3*(x - 4)**2*(x + 555697)
Suppose u**2 + 560113*u - 560114 = 0. What is u?
-560114, 1
Let 4*i**3/7 + 8348*i**2/7 - 15963736*i/7 - 80026880/7 = 0. What is i?
-3296, -5, 1214
What is j in -3*j**3 - 19047000*j**2 + 171423273*j + 190470270 = 0?
-6349009, -1, 10
Factor 4*o**2 - 148351032*o + 1375501793466564.
4*(o - 18543879)**2
Factor -i**3 + 7659*i**2 + 142425885*i + 396589439225.
-(i - 17249)*(i + 4795)**2
Factor -2*q**3/21 - 8703754*q**2/21 + 17407514*q/21 - 1243394/3.
-2*(q - 1)**2*(q + 4351879)/21
What is g in 2*g**4 + 7844*g**3 + 1508394*g**2 - 13994445880*g + 27982795400 = 0?
-2515, 2, 1106
Solve 447*u**3 + 25200*u**2 + 383211*u + 774198 = 0 for u.
-27, -354/149
Suppose 4*z**2/3 - 197064*z + 61440704/3 = 0. What is z?
104, 147694
Find i, given that -3*i**4/5 - 90096*i**3/5 + 9*i**2/5 + 270282*i/5 - 180192/5 = 0.
-30032, -2, 1
Factor 5*a**3 - 74130*a**2 - 1633080*a - 2969600.
5*(a - 14848)*(a + 2)*(a + 20)
Factor r**3/2 + 40655*r**2/2 + 162607*r/2 + 121953/2.
(r + 1)*(r + 3)*(r + 40651)/2
Suppose -3*i**3/4 + 88185*i**2/4 + 4948683*i/4 - 26947665/4 = 0. What is i?
-61, 5, 29451
Find c, given that -94*c**3/3 + 31001*c**2/3 - 850960*c - 172425 = 0.
-19/94, 165
Find o, given that -3*o**4/2 + 633*o**3 + 70404*o**2 + 271392*o = 0.
-88, -4, 0, 514
Factor -2*n**4/3 - 6376*n**3/3 + 38418*n**2 - 173124*n.
-2*n*(n - 9)**2*(n + 3206)/3
Factor 5*o**2 - 3650*o - 6178375.
5*(o - 1535)*(o + 805)
Find b such that 3*b**4/4 + 621*b**3/4 - 9207*b**2/2 - 13476*b + 117432 = 0.
-233, -6, 4, 28
Factor -2*p**2 - 66220*p - 15124800.
-2*(p + 230)*(p + 32880)
Solve 2*q**4 + 178*q**3 - 20124*q**2 + 405680*q - 1548800 = 0.
-160, 5, 22, 44
Factor -5*f**2/6 + 1468820*f/3 - 215743219240/3.
-5*(f - 293764)**2/6
Solve -425*m**5 - 2995*m**4 + 7570*m**3 + 780*m**2 - 1080*m = 0 for m.
-9, -2/5, 0, 6/17, 2
Solve -4*f**4 - 10180*f**3 - 3879912*f**2 + 3586443856*f - 3582553760 = 0.
-1478, 1, 410
Find f such that -4*f**2 - 187176*f + 62963008 = 0.
-47128, 334
Solve 3*u**2/5 - 656068824*u/5 + 35868858485395248/5 = 0 for u.
109344804
Factor w**4/4 - 21209*w**3/2 + 466795297*w**2/4 - 89998355436*w + 18006477507216.
(w - 20801)**2*(w - 408)**2/4
Let -5*a**2 + 8675825*a - 78082020 = 0. Calculate a.
9, 1735156
Let w**2/2 - 3734*w + 7984275/2 = 0. What is w?
1293, 6175
Factor -2*t**3/5 - 240318852*t**2/5 - 7219143828324738*t/5.
-2*t*(t + 60079713)**2/5
Solve -6*b**2/19 - 9319336*b/19 - 6212888/19 = 0 for b.
-1553222, -2/3
Factor 4*p**2 - 2980540*p.
4*p*(p - 745135)
Factor 10211*c**2/8 - 3961871*c/8 + 291/2.
(c - 388)*(10211*c - 3)/8
Determine j, given that j**5/9 + 592*j**4/9 + 58319*j**3/9 - 186292*j**2/9 - 200380*j/3 = 0.
-466, -129, -2, 0, 5
Let 3*h**5 + 92685*h**4 - 5197428*h**3 + 72426012*h**2 + 20789664*h - 291187008 = 0. Calculate h.
-30951, -2, 2, 28
Solve -3*f**2/2 + 248793*f + 1990440 = 0.
-8, 165870
Determine a, given that 5*a**3 - 2307280*a**2 + 266174742625*a + 532358714410 = 0.
-2, 230729
What is c in 2*c**3/23 + 31972*c**2/23 + 447282*c/23 + 1054152/23 = 0?
-15972, -11, -3
Factor -269*g**2/4 - 50571*g/4 + 47.
-(g + 188)*(269*g - 1)/4
Solve -2*k**5/5 + 17026*k**4/3 - 175822*k**3/3 + 69946*k**2 - 85068*k/5 = 0 for k.
0, 1/3, 1, 9, 14178
Let 17*a**3 - 11307*a**2 - 21348*a + 2668 = 0. Calculate a.
-2, 2/17, 667
Let -2*m**4/11 - 2147638*m**3/11 - 576540400902*m**2/11 + 157240829282*m + 2306187375368/11 = 0. Calculate m.
-536911, -1, 4
Factor 5*i**2 + 8225*i + 2799420.
5*(i + 481)*(i + 1164)
Find z such that z**4 + 18300*z**3 + 87319998*z**2 + 32917106700*z + 3235497965001 = 0.
-8949, -201
Suppose 172*g**4 + 17618826*g**3 + 451205380566*g**2 + 466926848446*g + 15739086534 = 0. What is g?
-51217, -1, -3/86
Find a such that 3*a**5/5 - 102201*a**4/5 + 1162969968*a**3/5 - 4447653981024*a**2/5 + 310265202204672*a/5 - 1169972749039872/5 = 0.
4, 67, 11332
Factor f**2/2 - 515*f/2 - 6970000.
(f - 4000)*(f + 3485)/2
Factor -5*t**2 + 39342765*t - 275399110.
-5*(t - 7868546)*(t - 7)
Let -4*z**5/7 + 796*z**4/7 - 4196*z**3/7 - 521260*z**2/7 + 513000*z = 0. What is z?
-25, 0, 7, 27, 190
Determine q, given that -4*q**3 - 5460*q**2 - 313436*q - 307980 = 0.
-1305, -59, -1
Factor 2*g**5/3 + 9158*g**4/3 + 18310*g**3/3 + 9154*g**2/3.
2*g**2*(g + 1)**2*(g + 4577)/3
What is u in 3*u**4/2 + 507*u**3/2 + 5430*u**2 + 30450*u = 0?
-145, -14, -10, 0
Let 105*f**3 + 13659*f**2 - 384486*f + 340032 = 0. What is f?
-154, 32/35, 23
Let 3*r**5 + 3694*r**4 + 1196702*r**3 + 36477524*r**2 + 178588855*r - 135626778 = 0. What is r?
-599, -27, -7, 2/3
Suppose -4*i**3 + 1064*i**2 - 6460*i - 205128 = 0. What is i?
-11, 18, 259
Let 845*d**5/4 + 43773665*d**4 - 1117941225*d**3/4 + 273531960*d**2 + 596790720*d = 0. What is d?
-207219, -1, 0, 48/13
Find n, given that -65*n**5 + 417375*n**4 - 898160*n**3 - 3209580*n**2 + 513520*n = 0.
-2, 0, 2/13, 4, 6419
Factor -5*c**3 + 205815*c**2 - 2123024175*c + 103534611005.
-5*(c - 20557)**2*(c - 49)
Factor -2*y**3/5 + 273704*y**2.
-2*y**2*(y - 684260)/5
Factor 2*t**2 + 3054260*t.
2*t*(t + 1527130)
Let 15*o**2 - 1243555*o + 829030 = 0. What is o?
2/3, 82903
Let 14*h**2 - 78174*h - 1333004 = 0. Calculate h.
-17, 39206/7
Factor -2*b**2/5 - 9560216*b/5 + 9560218/5.
-2*(b - 1)*(b + 4780109)/5
Factor -2*g**2/11 + 534996*g - 393553490022.
-2*(g - 1471239)**2/11
Factor -11*g**2 - 12711210*g - 6933384.
-(g + 1155564)*(11*g + 6)
Find o, given that -2*o**4/13 - 251698*o**3/13 + 2768850*o**2/13 - 8810150*o/13 + 6293000/13 = 0.
-125860, 1, 5
Suppose 49*j**5/2 + 298130*j**4 + 163253017*j**3/2 + 5674874615*j**2 + 3222823142*j + 459453380 = 0. What is j?
-11890, -139, -2/7
Find x such that -x**5/7 + 8*x**4 - 54*x**3/7 - 15368*x**2/7 + 60055*x/7 - 6384 = 0.
-16, 1, 3, 19, 49
Factor 2*y**2 - 158582*y + 17577960.
2*(y - 79180)*(y - 111)
Find y such that 4*y**3 + 40596*y**2 - 1303300*y - 1343892 = 0.
-10181, -1, 33
Suppose q**3 - 8200*q**2 + 57361*q - 81930 = 0. What is q?
2, 5, 8193
Suppose 134266*o**3 - 2286539*o**2 + 68291*o - 34 = 0. What is o?
2/3949, 1/34, 17
Solve 30*g**5 - 661*g**4 + 2111*g**3 + 3493*g**2 - 2141*g - 2832 = 0.
-1, 1, 16/3, 177/10
Let 4*a**4 + 