66
Factor -4*x**5 + 315852*x**4 + 3790800*x**3.
-4*x**3*(x - 78975)*(x + 12)
Determine v so that -v**3 + 1527*v**2 - 772443*v + 129301029 = 0.
429, 549
Let 3*v**4 - 12906*v**3 - 1158189*v**2 - 3384180*v - 2238900 = 0. What is v?
-85, -2, -1, 4390
Determine n so that 2*n**4/11 + 57868*n**3/11 + 925402*n**2/11 + 751808*n/11 - 1735080/11 = 0.
-28918, -15, -2, 1
Factor -5*q**3 + 79345*q**2 - 158675*q + 79335.
-5*(q - 15867)*(q - 1)**2
Suppose 2*r**4/9 - 8650*r**3/9 + 520624*r**2/3 + 6351352*r/9 + 6385984/9 = 0. Calculate r.
-2, 193, 4136
Find l, given that -2*l**3 - 991198*l**2 - 15858656*l = 0.
-495583, -16, 0
Factor 3*n**4 + 3562482*n**3 + 1410107561028*n**2 + 186032198278034622*n - 5396119737409323927.
3*(n - 29)*(n + 395841)**3
Factor -5*k**2 + 1208085*k + 387099200.
-5*(k - 241937)*(k + 320)
Factor -y**3 - 1750*y**2 + 64413*y + 208962.
-(y - 39)*(y + 3)*(y + 1786)
Factor 4*i**2 - 76509336*i + 365854905947556.
4*(i - 9563667)**2
Factor 2*t**3/11 - 934192*t**2/11 - 28027110*t/11 - 19109700.
2*(t - 467126)*(t + 15)**2/11
Determine k so that 4*k**4/7 - 27705*k**3/7 - 299406*k**2/7 + 7735031*k/7 - 273516 = 0.
-23, 1/4, 12, 6937
Determine q, given that q**3/6 - 569*q**2/6 + 24253*q/3 + 49648/3 = 0.
-2, 107, 464
Find r, given that 312*r**5 + 22468*r**4/5 + 64988*r**3/5 + 61088*r**2/5 + 17008*r/5 = 0.
-2126/195, -2, -1, -1/2, 0
Factor 3*y**2/2 + 17229*y/2 + 1045134.
3*(y + 124)*(y + 5619)/2
Find j such that j**5/2 + 427*j**4/2 - 37377*j**3/2 + 998657*j**2/2 - 4513784*j + 4032930 = 0.
-505, 1, 22, 33
Factor -2*t**2/11 + 892644*t/11 - 77644890/11.
-2*(t - 446235)*(t - 87)/11
Solve -20*i**2 + 639436596*i + 127887320 = 0.
-1/5, 31971830
Find c, given that -11*c**4/3 - 140*c**3 + 225053*c**2/3 + 377510*c + 453888 = 0.
-1773/11, -3, -2, 128
Solve -2*b**3/9 - 26855264*b**2/9 - 53710510*b/3 - 26855252 = 0.
-13427626, -3
What is m in -18*m**4/7 + 220198*m**3/7 + 2154646*m**2/7 + 1493682*m/7 - 62964 = 0?
-9, -1, 2/9, 12243
Let a**5 - 1694*a**4 + 128035*a**3 - 727634*a**2 + 1428244*a - 943160 = 0. What is a?
2, 73, 1615
Determine k so that -2*k**3/21 - 1166*k**2/21 + 133704*k/7 - 697224 = 0.
-834, 42, 209
Factor -o**2 - 1177706*o - 1177705.
-(o + 1)*(o + 1177705)
Suppose 2550409*l**5/5 - 12812731*l**4/5 - 20099481*l**3/5 + 24580663*l**2 - 2915816*l/5 + 17328/5 = 0. What is l?
-3, 19/1597, 4
Factor -w**4/4 + 3887*w**3/4 + 15596*w**2 + 62448*w.
-w*(w - 3903)*(w + 8)**2/4
Factor -2*o**3/15 - 18442*o**2/5 + 4791318*o/5 - 309755574/5.
-2*(o - 129)**2*(o + 27921)/15
Determine r so that -4*r**2/5 - 888388*r/5 - 3553232 = 0.
-222077, -20
Find n such that 3*n**2 + 30170934*n + 75857104869363 = 0.
-5028489
Factor -2*i**4/9 + 45776*i**3/9 - 50840*i**2.
-2*i**2*(i - 22878)*(i - 10)/9
Solve 5*j**2/4 + 831605*j/4 - 831615/2 = 0 for j.
-166323, 2
Find y such that 3*y**3 - 765*y**2 - 15125619*y - 15124851 = 0.
-2121, -1, 2377
Find a, given that -2*a**5/11 + 2736*a**4/11 - 778896*a**3/11 - 6374080*a**2/11 - 873696*a = 0.
-6, -2, 0, 418, 958
Let r**5 + 396845*r**4 + 39378829248*r**3 + 1456527413012*r**2 + 5353576400032*r + 5196067432512 = 0. What is r?
-198404, -33, -2
Factor -s**3/4 + 11545*s**2/4 - 30962763*s/4 - 13850379621/4.
-(s - 5967)**2*(s + 389)/4
What is x in -3*x**5/2 + 3*x**4/2 + 573*x**3/2 + 2397*x**2/2 - 285*x - 1200 = 0?
-10, -5, -1, 1, 16
Factor 2*m**2 + 13076*m + 9938960.
2*(m + 878)*(m + 5660)
Solve -1985265*j**3/7 + 3573462*j**2/7 + 794133*j/7 + 6/7 = 0 for j.
-1/5, -1/132351, 2
Solve -2*k**5/3 + 3172*k**4/3 + 216638*k**3 + 852780*k**2 + 637200*k = 0.
-180, -3, -1, 0, 1770
Factor -m**2 + 778*m - 88821.
-(m - 639)*(m - 139)
Factor y**3/2 + 326681*y**2/2 + 3266719*y/2 + 2940039/2.
(y + 1)*(y + 9)*(y + 326671)/2
Let -1156*r**5 - 265914*r**4 + 35661375*r**3/4 - 48165943*r**2/2 - 2856441*r/4 - 5265 = 0. Calculate r.
-260, -1/68, 3, 27
Suppose 4*s**2 + 36012*s + 79577784 = 0. Calculate s.
-5109, -3894
Suppose 392*h**5/5 - 1083376*h**4 + 3742986602*h**3 - 2137462154*h**2 - 3571193010*h + 11551696002/5 = 0. Calculate h.
-1, 11/14, 6909
Let z**2/7 + 2918940*z/7 + 2130052680900/7 = 0. Calculate z.
-1459470
Factor 72*f**3 - 18916*f**2 - 101740*f - 26800.
4*(f - 268)*(f + 5)*(18*f + 5)
Suppose 3*x**3/7 - 929037*x**2/7 - 35306655*x/7 - 335423511/7 = 0. Calculate x.
-19, 309717
Let -4*p**3 + 94052*p**2 - 18504684*p + 914041260 = 0. Calculate p.
99, 23315
Solve q**4/7 - 197198*q**3/7 - 1380420*q**2/7 - 2958066*q/7 - 1774845/7 = 0.
-3, -1, 197205
Factor -5*y**3 + 464640*y**2 + 464675*y - 2787870.
-5*(y - 92929)*(y - 2)*(y + 3)
Find s, given that 4*s**3 - 75412*s**2 - 36487492*s + 36562900 = 0.
-473, 1, 19325
Factor 6*w**2/5 - 4548024*w/5 + 31835874/5.
6*(w - 757997)*(w - 7)/5
Suppose 2*a**2/19 + 790148*a/19 - 6321312/19 = 0. Calculate a.
-395082, 8
Let 8*z**4 - 62060*z**3 - 1838364*z**2 + 4921640*z - 1993472 = 0. Calculate z.
-32, 1/2, 2, 7787
Solve 2*z**4/11 - 26829126*z**3/11 + 8179569423186*z**2 - 89975236825922*z/11 = 0.
0, 1, 6707281
Suppose -3*o**3 + 18405*o**2 + 36927*o - 644385 = 0. Calculate o.
-7, 5, 6137
Factor 116*m**2 - 38776*m + 49284.
4*(m - 333)*(29*m - 37)
Factor 445*s**2/3 + 190925*s.
5*s*(89*s + 114555)/3
Factor -s**2/8 - 23779*s/2 - 1046155/8.
-(s + 11)*(s + 95105)/8
Find i, given that -2*i**3/5 + 1700*i**2 + 17006*i/5 + 8504/5 = 0.
-1, 4252
Factor 5*p**2/6 + 386285*p/6 + 450625.
5*(p + 7)*(p + 77250)/6
Determine c so that 2*c**2 - 75578*c + 377840 = 0.
5, 37784
Suppose -14*y**5/5 - 2704*y**4 + 3392662*y**3/5 + 9292624*y**2/5 + 3926872*y/5 - 1959584/5 = 0. Calculate y.
-1172, -2, -1, 2/7, 209
Factor -3*p**2 - 19974*p + 10805949.
-3*(p - 503)*(p + 7161)
Solve -2*t**2 + 34212098*t - 34212096 = 0 for t.
1, 17106048
Find z, given that z**4 + 64074*z**3 + 448483*z**2 + 896946*z + 512536 = 0.
-64067, -4, -2, -1
Solve -6045184278694472*z**2/7 + 219912424*z/7 - 2/7 = 0 for z.
1/54978106
Determine i, given that 4*i**4 - 9128*i**3 + 2271468*i**2 - 114084808*i + 111822464 = 0.
1, 67, 208, 2006
Factor 4*q**2 + 122127872*q + 854894908.
4*(q + 7)*(q + 30531961)
Determine i, given that 2*i**3/9 + 8474*i**2/9 - 5301076*i/9 - 5326480/3 = 0.
-4790, -3, 556
Determine u, given that -3*u**5/2 - 1890*u**4 - 115029*u**3/2 - 449400*u**2 + 516366*u + 9291240 = 0.
-1229, -15, -14, -6, 4
Solve -4*v**5/3 + 146*v**4 - 7450*v**3/3 - 130768*v**2 + 9841160*v/3 - 1607200 = 0 for v.
-30, 1/2, 28, 41, 70
Let -32*v**3/7 - 27788400*v**2/7 - 13894194*v/7 - 1736774/7 = 0. What is v?
-868387, -1/4
Solve -50*y**5/3 + 1480*y**4 - 14986*y**3 - 40184*y**2/3 + 97024*y + 118272 = 0.
-8/5, 3, 12, 77
Factor 4*g**2 - 242074360*g + 3662499735588100.
4*(g - 30259295)**2
Find r such that 2*r**3/9 - 3454*r**2/9 - 32964*r = 0.
-82, 0, 1809
Factor -y**4 - 4440*y**3 - 84077*y**2 - 344838*y.
-y*(y + 6)*(y + 13)*(y + 4421)
Let 2*y**3/11 - 8246*y**2/11 + 7240280*y/11 = 0. What is y?
0, 1268, 2855
Factor 4*l**2 + 17403548*l.
4*l*(l + 4350887)
Find o, given that 8*o**5 + 78*o**4 - 1676*o**3 + 4734*o**2 + 4968*o - 1512 = 0.
-21, -1, 1/4, 6
Solve -3*k**4 - 24*k**3 + 161577*k**2 + 13542306*k - 71746080 = 0.
-163, -112, 5, 262
Factor 4*c**3 - 213868*c**2 - 147253348*c - 25185999476.
4*(c - 54149)*(c + 341)**2
Determine y so that -2*y**5 + 17524*y**4 + 1684018*y**3 - 10524524*y**2 + 21329272*y - 14312912 = 0.
-101, 2, 8857
Factor 2*z**5 + 178882*z**4 + 41392976*z**3.
2*z**3*(z + 232)*(z + 89209)
Determine s, given that -s**2/4 - 177656*s - 2131863/4 = 0.
-710621, -3
Factor 2*u**2/9 + 2961736*u/9 + 1096485016712/9.
2*(u + 740434)**2/9
Factor 27*w**3 - 93745*w**2/7 + 11624752*w/7 - 61504/7.
(w - 248)**2*(189*w - 1)/7
Let -2*t**3/5 - 760*t**2 - 119936*t/5 - 717312/5 = 0. Calculate t.
-1868, -24, -8
Determine s, given that 4*s**3 - 4404*s**2 - 1335924*s + 1861922500 = 0.
-625, 863
Determine u so that u**2/2 - 54693090*u + 1495667046874050 = 0.
54693090
Factor -5*u**2 - 42068740*u - 88488944259380.
-5*(u + 4206874)**2
Factor -3*f**2 - 23142*f + 1094301.
-3*(f - 47)*(f + 7761)
Solve -2*s**4/7 + 108*s**3 + 7106*s**2/7 - 53124*s/7 - 408672/7 = 0.
-11, -6, 8, 387
Suppose -3*t**3/4 + 957*t**2/4 + 117360*t - 7740900 = 0. Calculate t.
-305, 60, 564
Let -2*c**2 - 67080*c + 2215818 = 0. Calculate c.
-33573, 33
Factor 5*w**3 - 445805*w**2 - 21407280*w - 256921920.
5*(w - 89209)*(w + 24)**2
Factor b**4/4 - 22*b**3 - 1263619*b**2/4 