80*b**2 - 770460*b + 521840 = 0. Calculate b.
-1186, -44, 1, 2
Find n, given that 21*n**4/4 + 133671*n**3/4 - 516447*n**2/2 - 745671*n - 191190 = 0.
-6373, -2, -2/7, 10
Let 18*g**2 + 14836*g + 221666 = 0. Calculate g.
-809, -137/9
Find l, given that 3*l**2/5 + 783357*l/5 - 2350098/5 = 0.
-261122, 3
Let 5*a**2/3 + 944705*a + 5668210/3 = 0. Calculate a.
-566821, -2
Factor -2*k**2/7 + 71062*k/7 + 43945024/7.
-2*(k - 36139)*(k + 608)/7
Find q such that 2*q**5/19 + 10542*q**4/19 + 105276*q**3/19 + 294664*q**2/19 + 252528*q/19 = 0.
-5261, -6, -2, 0
Factor -2*n**2 + 7610050*n - 190250000.
-2*(n - 3805000)*(n - 25)
Factor b**2/5 + 435136*b/5.
b*(b + 435136)/5
Solve -2*f**4/5 + 378*f**3/5 - 20956*f**2/5 + 71232*f = 0 for f.
0, 35, 48, 106
Factor -2*o**2/15 - 182019988*o/15 + 12134666.
-2*(o - 1)*(o + 91009995)/15
Factor 2*m**2/19 - 11327256*m/19 + 16038341061192/19.
2*(m - 2831814)**2/19
Find t such that -4*t**3 - 19392*t**2 + 5374684*t - 10671768 = 0.
-5111, 2, 261
Factor -x**3/8 + 500011*x**2/8 + 1000025*x/8 + 500013/8.
-(x - 500013)*(x + 1)**2/8
Factor x**3 + 838793*x**2 - 147650800*x + 6496975936.
(x - 88)**2*(x + 838969)
Let -5*m**5 - 7915*m**4 - 38890*m**3 + 887200*m**2 + 5554560*m = 0. Calculate m.
-1578, -8, 0, 11
Suppose 2*g**3/3 + 80612*g**2/3 + 821160824*g/3 + 59448901072 = 0. What is g?
-20042, -222
Factor 2*k**3/11 - 5657032*k**2/11 - 22628152*k/11 - 22628160/11.
2*(k - 2828520)*(k + 2)**2/11
Determine s so that 57*s**3 + 36006*s**2 + 2311737*s - 2347800 = 0.
-559, -1400/19, 1
Solve 106*k**3 + 2626*k**2/3 + 2410*k/3 - 13850/3 = 0.
-5, 277/159
Solve -3*j**5/5 + 821517*j**4/5 - 56310224037*j**3/5 + 9498906330483*j**2/5 - 81157671989352*j + 79269152603760 = 0.
1, 84, 136835
Factor -b**3/2 + 22074*b**2 - 205919160*b - 862520202400.
-(b - 23620)**2*(b + 3092)/2
Let 4*c**2 + 68457140*c = 0. What is c?
-17114285, 0
What is n in n**4 - 48*n**3 - 4290*n**2 - 72496*n - 261855 = 0?
-23, -5, 99
Suppose t**2 + 7014225*t + 7014224 = 0. What is t?
-7014224, -1
Determine h, given that -4*h**5 + 781148*h**4 - 38128027452*h**3 - 877382900764*h**2 + 1218871898240*h + 87888375014400 = 0.
-16, 9, 97655
Determine v, given that v**3 + 1483089*v**2 + 8898507*v + 13347747 = 0.
-1483083, -3
Factor -3*d**3 + 34308555*d**2 - 34308552*d.
-3*d*(d - 11436184)*(d - 1)
Let -2*f**3/3 - 350*f**2/3 - 4714*f - 55350 = 0. Calculate f.
-123, -27, -25
Factor 3*t**3 + 12705156*t**2 + 13451736376863*t - 26903523574374.
3*(t - 2)*(t + 2117527)**2
Find o such that -8*o**4 + 1436*o**3 - 44080*o**2 - 22400*o = 0.
-1/2, 0, 40, 140
Let 4*x**4 + 7360*x**3 + 3470464*x**2 + 76010496*x - 1424673792 = 0. Calculate x.
-908, -36, 12
Determine x, given that -6*x**5/7 - 396*x**4/7 - 7902*x**3/7 - 5592*x**2 + 103608*x/7 - 56160/7 = 0.
-30, -26, -12, 1
Suppose -4*a**5 - 2640*a**4 - 298484*a**3 + 22352856*a**2 - 125771328*a + 184412160 = 0. Calculate a.
-480, -232, 3, 46
Solve -887*d**2/9 - 15968*d/9 - 4 = 0.
-18, -2/887
Factor 4*j**2/3 - 31364*j/3 - 11317360.
4*(j - 8805)*(j + 964)/3
Factor -2*d**4/3 - 155484*d**3 + 621944*d**2 - 1865840*d/3.
-2*d*(d - 2)**2*(d + 233230)/3
What is x in 4*x**5/5 - 6610*x**4 + 4681318*x**3/5 - 170626106*x**2/5 + 240935518*x/5 + 163711516/5 = 0?
-1/2, 2, 71, 8119
Factor 5*t**2 + 15050*t - 6839055.
5*(t - 401)*(t + 3411)
Let 2*k**3/13 + 5060*k**2/13 - 15194*k/13 + 10132/13 = 0. What is k?
-2533, 1, 2
Factor 2*f**2/7 - 23806*f/7 + 5186364/7.
2*(f - 11681)*(f - 222)/7
Suppose -9*r**3/2 - 197619*r**2/4 + 6161937*r/2 + 6359520 = 0. What is r?
-66245/6, -2, 64
Find j such that -2*j**5/9 + 44042*j**4/3 + 132130*j**3/3 + 396394*j**2/9 + 44044*j/3 = 0.
-1, 0, 66066
Factor 5*k**3 + 6985*k**2 + 1225000*k + 57672020.
5*(k + 98)**2*(k + 1201)
Factor r**2 - 577032*r - 17311860.
(r - 577062)*(r + 30)
Suppose 3*z**5/4 - 1096713*z**4/4 + 9870219*z**3/4 - 16450311*z**2/4 + 3838401*z/2 = 0. Calculate z.
0, 1, 7, 365562
Factor 3*d**5 - 381402*d**4 - 762813*d**3 - 381408*d**2.
3*d**2*(d - 127136)*(d + 1)**2
Factor -2*z**4 - 14652188*z**3 - 26835841300602*z**2 - 53671638644648*z - 26835811996232.
-2*(z + 1)**2*(z + 3663046)**2
What is c in -c**2 + 206934*c - 1241568 = 0?
6, 206928
Let 22*i**4 - 5360*i**3 + 177888*i**2 = 0. Calculate i.
0, 436/11, 204
Factor -t**2/3 + 7592*t/3 - 65572.
-(t - 7566)*(t - 26)/3
What is m in -2*m**2/3 - 196183816*m/3 - 4811011207540232/3 = 0?
-49045954
Let -7*k**5 + 3638*k**4 - 486244*k**3 + 3459112*k**2 + 10203136*k + 2621440 = 0. What is k?
-2, -2/7, 10, 256
Solve 2*x**2/5 - 2264*x/5 - 6882 = 0.
-15, 1147
Factor 189463*l**2/7 + 1705317*l/7 + 1350/7.
(l + 9)*(189463*l + 150)/7
Factor -2*b**2/3 - 497932*b + 2987600/3.
-2*(b - 2)*(b + 746900)/3
Factor 5520*a**3 + 6720440*a**2 - 3361255*a + 420200.
5*(4*a - 1)**2*(69*a + 84040)
Suppose 2*g**4/3 + 9382*g**3/3 - 263154*g**2 + 14430218*g/3 + 15229060/3 = 0. Calculate g.
-4774, -1, 29, 55
What is j in -1332*j**5/7 + 455552*j**4/7 - 907164*j**3/7 - 450112*j**2/7 + 908496*j/7 - 5440/7 = 0?
-1, 2/333, 1, 2, 340
Solve 5*k**5 + 1261280*k**4 - 6306485*k**3 + 10090420*k**2 - 5045220*k = 0.
-252261, 0, 1, 2
Let -67030*g**3 + 93242*g**2 + 81276*g + 720 = 0. Calculate g.
-3/5, -60/6703, 2
What is n in 4*n**2/7 - 5338472*n/7 - 5338476/7 = 0?
-1, 1334619
Factor 5*m**2/4 + 139380285*m/4.
5*m*(m + 27876057)/4
Factor -2*x**3/23 - 4484*x**2/23 - 483392*x/23 - 13359360/23.
-2*(x + 56)**2*(x + 2130)/23
Determine c so that -2*c**2/3 - 36946*c - 110832 = 0.
-55416, -3
Suppose 76*z**3 - 204520*z**2 + 6677028*z - 350856 = 0. Calculate z.
1/19, 33, 2658
Factor 2*y**3/19 + 5500*y**2/19 + 4253954*y/19 + 628162944/19.
2*(y + 192)*(y + 1279)**2/19
What is v in -2*v**2 - 1412110*v - 45185472 = 0?
-706023, -32
Determine n so that 3*n**3 - 387213*n**2 + 12494298672*n + 12494685888 = 0.
-1, 64536
Suppose -3*u**2 + 2262405*u - 58820502 = 0. Calculate u.
26, 754109
Solve -3*j**4 - 46452*j**3 - 192868092*j**2 - 101051680800*j - 14197095480000 = 0 for j.
-7450, -292
Solve -4*l**5 + 96*l**4 + 9924*l**3 - 233600*l**2 - 2323200*l - 4608000 = 0 for l.
-48, -5, -3, 40
Let 3*s**5/2 - 3744*s**4 + 59643*s**3/2 + 85881*s**2 - 111960*s = 0. Calculate s.
-3, 0, 1, 10, 2488
Suppose 4*j**2 + 260632*j - 43375136 = 0. Calculate j.
-65324, 166
Suppose -5*c**5 + 32505*c**4 - 680550*c**3 + 963500*c**2 + 55125000*c - 291600000 = 0. What is c?
-9, 10, 6480
Let 2*m**4/13 - 4510*m**3/13 + 1960394*m**2/13 + 696211446*m/13 - 7153663860/13 = 0. Calculate m.
-233, 10, 1239
Determine h, given that -h**3 - 16986*h**2 - 72249804*h - 1008170744 = 0.
-8486, -14
Find w, given that -2*w**3/23 - 484*w**2/23 + 7198*w/23 + 7680/23 = 0.
-256, -1, 15
Determine h, given that 5*h**4 + 8450*h**3 - 102075*h**2 + 76700*h + 187220 = 0.
-1702, -1, 2, 11
What is j in -2*j**5/9 + 86*j**4/3 - 5020*j**3/9 - 154192*j**2/9 - 311296*j/3 - 1295360/9 = 0?
-8, -2, 55, 92
Let 2*d**3/3 - 5080*d**2/3 + 85814*d/3 - 26912 = 0. What is d?
1, 16, 2523
Find f, given that 75*f**3 - 165222160*f**2 + 90994551531695*f - 12132603933610 = 0.
2/15, 1101481
What is l in 5*l**2 - 66485*l - 12881040 = 0?
-191, 13488
Factor z**2/6 + 1355*z/6 + 30651.
(z + 153)*(z + 1202)/6
Factor -w**2 - 71990*w + 28737639.
-(w - 397)*(w + 72387)
Determine l, given that l**5/6 - 427*l**4/3 - 6852*l**3 - 129968*l**2/3 + 328768*l/3 + 729600 = 0.
-38, -8, -4, 4, 900
Find c, given that -4*c**2 - 1411076*c + 11288864 = 0.
-352777, 8
Factor 2*q**3/5 + 526*q**2/5 + 6078*q/5 + 13554/5.
2*(q + 3)*(q + 9)*(q + 251)/5
Factor -6*t**3 + 30953852*t**2 - 10317950*t.
-2*t*(t - 5158975)*(3*t - 1)
Solve n**5/2 - 203*n**4/2 + 1375*n**3/2 - 525*n**2/2 - 6228*n + 10584 = 0.
-3, 3, 4, 196
What is g in -27*g**4/7 + 4716342*g**3/7 - 205955580531*g**2/7 - 549240035496*g/7 - 366165613488/7 = 0?
-4/3, 87341
Factor -2*f**2/9 + 3165340*f/3 - 1252422164450.
-2*(f - 2374005)**2/9
Factor p**3/2 + 711647*p**2 + 1423293*p/2.
p*(p + 1)*(p + 1423293)/2
Factor 3*p**3/7 - 2085*p**2/7 + 34626*p/7 - 32544/7.
3*(p - 678)*(p - 16)*(p - 1)/7
Suppose 5*c**3 + 9065365*c**2 + 326346660*c = 0. Calculate c.
-1813037, -36, 0
Factor 9*q**2/5 + 9663*q/5 + 6438/5.
3*(q + 1073)*(3*q + 2)/5
What is g in -5*g**2 + 52790*g - 527400 = 0?
10, 10548
Factor b**2 + 3318793*b + 6637582.
(b + 2)*(b + 3318791)
Solve -4030*b**4 + 229706*b**3 + 228*b**2 = 0.
-2/2015, 0, 57
Solve -5*s**4 + 17770*s**3