 given that -5*a**3 + 113415*a**2 - 727347075*a + 921263373905 = 0.
1669, 10507
Determine m so that -21*m**5 + 5829*m**4 - 314922*m**3 - 1138812*m**2 - 587976*m + 765984 = 0.
-2, 4/7, 79, 202
Let o**5/10 + 2273*o**4/5 + 521513*o**3/10 - 2193008*o**2/5 + 4719618*o/5 - 557928 = 0. Calculate o.
-4428, -126, 1, 2, 5
Solve -2*m**5/3 - 35192*m**4/3 - 152424*m**3 - 668220*m**2 - 1160514*m - 632988 = 0.
-17583, -6, -3, -1
Solve 10*w**3/11 + 232*w**2/11 - 94*w - 216/11 = 0 for w.
-27, -1/5, 4
Factor -a**5 + 151645*a**4 - 303286*a**3.
-a**3*(a - 151643)*(a - 2)
Factor u**2 + 16137*u + 708092.
(u + 44)*(u + 16093)
Find f, given that -f**2 - 603807*f = 0.
-603807, 0
Factor -4*k**3/3 + 1423240*k**2/3 + 2846492*k/3 + 474416.
-4*(k - 355812)*(k + 1)**2/3
Determine m so that -m**5/5 - 2167*m**4/5 + 293634*m**3/5 - 289298*m**2/5 - 293633*m/5 + 58293 = 0.
-2295, -1, 1, 127
Suppose -3*l**4 - 9054*l**3 - 4463004*l**2 - 608136354*l - 603682401 = 0. Calculate l.
-2443, -287, -1
Factor -76*v**2/3 - 15672*v - 371264/3.
-4*(v + 8)*(19*v + 11602)/3
Determine u so that -2*u**2/7 + 1725812*u/7 + 3451680 = 0.
-14, 862920
Suppose -v**5/3 - 1100*v**4/3 - 17588*v**3 - 92400*v**2 = 0. What is v?
-1050, -44, -6, 0
Solve -4*v**3 + 326012*v**2 + 31324800*v + 752016384 = 0 for v.
-48, 81599
Factor -3*d**3/5 + 684*d**2 + 799383*d/5.
-3*d*(d - 1339)*(d + 199)/5
Factor -4*k**3 - 2085932*k**2 - 20859020*k - 52147300.
-4*(k + 5)**2*(k + 521473)
Factor -f**3/5 + 154074*f**2 + 770371*f/5.
-f*(f - 770371)*(f + 1)/5
Solve -v**5/4 - 51*v**4/4 - 343*v**3/2 - 1605*v**2/2 - 5841*v/4 - 3267/4 = 0.
-33, -11, -3, -1
Solve -4*d**4 - 118392*d**3 - 2248452*d**2 - 13252160*d - 22716672 = 0 for d.
-29579, -8, -3
Factor -5*d**2 + 3235470*d - 3235465.
-5*(d - 647093)*(d - 1)
Suppose -2*o**5/13 - 2810162*o**4/13 - 987113662484*o**3/13 + 8884174711644*o**2/13 - 26652675884490*o/13 + 26652751759350/13 = 0. What is o?
-702545, 3
Factor -6*k**2 - 3603*k - 169641.
-3*(k + 549)*(2*k + 103)
Suppose -2*k**2/15 + 4016*k/3 + 2664802/15 = 0. What is k?
-131, 10171
Let w**5/2 + 12186*w**4 + 4796445*w**3/2 + 120794701*w**2 + 225045534*w - 348250644 = 0. Calculate w.
-24174, -98, -3, 1
Solve -2*s**3 - 84699*s**2 - 896718900*s + 448380625 = 0 for s.
-21175, 1/2
Factor y**2/2 - 20127114*y + 202550358984498.
(y - 20127114)**2/2
Factor p**3/2 - 2032*p**2 + 204383*p/2 + 561820.
(p - 4013)*(p - 56)*(p + 5)/2
Factor -3*a**2/5 - 9510741*a/5 + 114129324/5.
-3*(a - 12)*(a + 3170259)/5
Factor 4*b**2 - 1672*b - 801420.
4*(b - 703)*(b + 285)
Solve 7*a**4/5 - 148*a**3 - 2596351*a**2/5 + 12256616*a/5 + 742764 = 0.
-561, -2/7, 5, 662
What is r in 3520820714151064895488*r**4/9 + 7041639345385999462400*r**3/9 - 462870205545152*r**2 + 91277949*r - 6 = 0?
-2, 3/15212992
Let -5*y**4 + 4287755*y**3 - 4287745*y**2 - 4287755*y + 4287750 = 0. What is y?
-1, 1, 857550
Find x such that 1168*x**5/5 + 6564*x**4/5 + 1836*x**3 - 4672*x**2/5 - 2448*x = 0.
-765/292, -2, 0, 1
Let 4*b**2 - 1117292*b/5 - 89384 = 0. Calculate b.
-2/5, 55865
Determine w so that -w**5/2 - 10539*w**4 - 126419*w**3/2 + 137013*w**2 + 948276*w + 758592 = 0.
-21072, -6, -3, -1, 4
Let -89*z**2/7 + 741*z/7 - 118 = 0. Calculate z.
118/89, 7
What is o in 2*o**4 + 1294*o**3 - 55980*o**2 + 299408*o - 385280 = 0?
-688, 2, 4, 35
Find k, given that 85*k**3 + 985*k**2 - 864445*k + 355775 = 0.
-107, 7/17, 95
Solve -3*r**5/4 - 60225*r**4/4 - 872001*r**3/2 = 0 for r.
-20046, -29, 0
Find x such that -47*x**5 + 3971*x**4/2 - 7386*x**3 - 14983*x**2/2 + 3067*x + 1140 = 0.
-1, -12/47, 1/2, 5, 38
Suppose -4*k**3/5 - 401936*k**2/5 - 1607296*k/5 + 7716864 = 0. What is k?
-100480, -12, 8
Solve -2*h**5 + 2870*h**4 - 992876*h**3 - 26533672*h**2 - 41037680*h + 196107200 = 0.
-23, -4, 2, 730
Factor -34*r**3/3 - 181147*r**2 - 723803472*r + 319360320.
-(r + 7992)**2*(34*r - 15)/3
Find q, given that -q**3 - 966320*q**2 - 2898953*q - 1932634 = 0.
-966317, -2, -1
Solve -4*p**4/7 - 328500*p**3 + 25295084*p**2/7 + 57488652*p/7 + 29894072/7 = 0.
-574886, -1, 13
Suppose 3*d**3/4 - 5721*d**2 + 433815*d/4 - 388059/2 = 0. Calculate d.
2, 17, 7609
Suppose -2*c**3/13 - 134272028*c**2/13 - 268544050*c/13 - 134272024/13 = 0. What is c?
-67136012, -1
Factor 5*b**4 - 12410*b**3 - 451620*b**2 - 4079160*b.
5*b*(b - 2518)*(b + 18)**2
Find y, given that -5*y**5 - 13375*y**4 - 10109840*y**3 - 1508687020*y**2 - 5913857600*y - 5873632000 = 0.
-1240, -191, -2
Determine v so that -4*v**2 - 669315616*v - 27998962113841216 = 0.
-83664452
What is i in -35*i**4 + 6525*i**3 - 28410*i**2 + 36460*i - 10920 = 0?
3/7, 2, 182
Find u, given that -507*u**2/2 + 1943955*u - 7453572075/2 = 0.
49845/13
Determine y so that 5*y**2 - 1429455*y + 142895500 = 0.
100, 285791
Factor 2*p**3/7 - 3058*p**2 + 149156*p.
2*p*(p - 10654)*(p - 49)/7
What is n in 3*n**5/7 + 1824*n**4/7 - 269376*n**3/7 + 265722*n**2/7 + 269373*n/7 - 267546/7 = 0?
-731, -1, 1, 122
Factor 2*g**2/9 + 3842052*g - 34578470/9.
2*(g - 1)*(g + 17289235)/9
Factor 3*s**4 - 746070*s**3 + 46396226775*s**2 - 1391383246500*s + 10434115507500.
3*(s - 124330)**2*(s - 15)**2
Find s such that -s**2/4 + 8936650*s - 79863713222500 = 0.
17873300
Suppose 2*l**3 - 2894*l**2 - 40908*l = 0. What is l?
-14, 0, 1461
Suppose -722*i**5 - 47880*i**4 + 71347*i**3/2 + 339915*i**2/2 - 174267*i = 0. Calculate i.
-67, -2, 0, 51/38
Let -z**4/5 + 1299*z**3 - 1363181*z**2/5 + 5368329*z/5 - 4011642/5 = 0. Calculate z.
1, 3, 213, 6278
Factor 2*o**4/5 + 72744*o**3 + 16536893514*o**2/5 + 33072332164*o/5.
2*o*(o + 2)*(o + 90929)**2/5
Let -2*d**3/7 - 2148*d**2/7 - 539088*d/7 - 1154816 = 0. Calculate d.
-694, -364, -16
Let -l**5/6 + 2027*l**4/6 - 122867*l**3/6 - 1696235*l**2/6 - 859250*l = 0. Calculate l.
-7, -5, 0, 75, 1964
Factor -3*h**4/4 + 181305339*h**3/4 - 1826201411443827*h**2/2 + 6131482196131087597905*h + 6131483109231838646154.
-3*(h - 20145038)**3*(h + 1)/4
Find n, given that -2*n**5 - 82719*n**4 - 4502077*n**3 + 6939239*n**2 - 41361*n - 2313080 = 0.
-41305, -56, -1/2, 1
Factor 3*y**3 - 99906*y**2 + 16324068*y - 668459736.
3*(y - 33138)*(y - 82)**2
Factor -2*b**3/7 - 17844*b**2/7 - 37611906*b/7 + 9896537752/7.
-2*(b - 236)*(b + 4579)**2/7
Let u**3/3 + 196137*u**2 + 28852390145*u + 86556582025/3 = 0. What is u?
-294205, -1
Determine t, given that t**5/5 - 9046*t**4/5 - 99603*t**3/5 - 217404*t**2/5 + 326052*t/5 = 0.
-6, 0, 1, 9057
Factor -16*s**2 - 103133900*s + 103133916.
-4*(s - 1)*(4*s + 25783479)
Let 50*l**5 - 19960*l**4 - 305862*l**3 - 214268*l**2 + 3360064*l - 3444480 = 0. What is l?
-13, -5, 8/5, 414
Factor 3*m**2/8 + 205305*m/4 + 1642056.
3*(m + 32)*(m + 136838)/8
Find f such that -2*f**2 - 305252*f + 7937904 = 0.
-152652, 26
Determine f so that 2*f**3/15 - 27488*f**2/5 + 283456224*f/5 - 6797672704/15 = 0.
8, 20612
Solve 3*p**2/4 - 78213*p/4 - 2430369/2 = 0.
-62, 26133
Factor h**2/4 - 34640251*h + 1199946989343001.
(h - 69280502)**2/4
Solve 60*u**5 - 244*u**4 - 9356*u**3/5 - 2764*u**2/5 + 17264*u/5 - 4224/5 = 0 for u.
-3, -11/5, 4/15, 1, 8
Factor -b**3/3 - 2591683*b**2 - 15550086*b.
-b*(b + 6)*(b + 7775043)/3
Determine d, given that 3*d**5 - 1426290*d**4 + 28525050*d**3 - 213936000*d**2 + 713116875*d - 891393750 = 0.
5, 475410
Factor 90*i**2/7 - 4138494*i/7 + 157656.
6*(i - 45983)*(15*i - 4)/7
Suppose -3*x**4 - 396702*x**3 - 13043570007*x**2 + 4681285918020*x - 417756108780300 = 0. Calculate x.
-66295, 178
Factor -3*l**2 - 55299*l + 1162602.
-3*(l - 21)*(l + 18454)
Find w, given that -w**4/2 - 441*w**3 - 66046*w**2 + 133860*w = 0.
-690, -194, 0, 2
Solve 2*v**3 - 12164*v**2 + 36474*v = 0 for v.
0, 3, 6079
Find x, given that 2*x**5 + 142496*x**4 + 427456*x**3 - 997460*x**2 - 2137314*x + 2564820 = 0.
-71245, -3, 1, 2
Find r such that 4*r**4/5 + 15816*r**3 + 388152628*r**2/5 - 26715120432*r/5 + 45651364304 = 0.
-9919, 10, 58
Factor 4*k**3/5 + 3504*k**2 + 139904*k/5.
4*k*(k + 8)*(k + 4372)/5
Solve 117*n**3/5 - 78501*n**2/5 - 4026*n/5 = 0.
-2/39, 0, 671
What is n in -7*n**4/2 - 62606*n**3 - 4801743*n**2/2 - 3230521*n + 2641652 = 0?
-17849, -37, -2, 4/7
Solve -2*m**3/11 + 776100*m**2/11 - 6848269704*m + 697789653264 = 0 for m.
102, 193974
Find n such that -2*n**4/5 - 1074*n**3/5 + 127028*n**2/5 + 327720*n + 1005840 = 0.
-635, -6, 110
Factor 5*y**3 + 8640*y**2 - 484415*y - 22173450.
5*(y - 83)*(y + 30)*(y + 