termine j so that 1728*j**2 + 34509168*j + 172292053827 = 0.
-239647/24
Determine l so that 32*l**5 + 20564*l**4 - 28484*l**3 - 95348*l**2 - 23148*l + 23184 = 0.
-644, -1, 3/8, 3
Suppose -5*p**3 + 5980*p**2 + 66235*p + 181050 = 0. Calculate p.
-6, -5, 1207
Find w such that -4695127441*w**3 - 633841930451*w**2 + 37001336*w - 540 = 0.
-135, 2/68521
What is l in -11*l**4/2 - 5683*l**3/2 + 7817*l**2/2 + 24367*l/2 + 5439 = 0?
-518, -1, -7/11, 3
Solve -810*y**3/7 - 70012*y**2/7 - 1656154*y/7 - 6038152/7 = 0 for y.
-41, -1796/405
Determine g, given that g**2/6 - 432419*g/2 + 5188996/3 = 0.
8, 1297249
Find z such that z**2 - 185143*z + 555420 = 0.
3, 185140
Find r, given that -4*r**4/3 + 164*r**3 - 4924*r**2/3 - 164*r + 4928/3 = 0.
-1, 1, 11, 112
Factor -3*p**3 - 216399*p**2 - 9517200*p - 104673228.
-3*(p + 22)**2*(p + 72089)
Factor 4*c**3/3 + 222668*c**2 - 37882460*c + 4831241900/3.
4*(c - 85)**2*(c + 167171)/3
Factor -40900*n**2 + 10672*n.
-4*n*(10225*n - 2668)
Factor b**3 + 8819348*b**2 + 26458035*b.
b*(b + 3)*(b + 8819345)
Determine c, given that 4*c**5 - 260*c**4 - 7180*c**3 - 41020*c**2 - 34104*c = 0.
-14, -7, -1, 0, 87
Let 3*j**5/2 + 585807*j**4 + 76265431614*j**3 + 3310580442944340*j**2 + 92643791495230800*j + 317610759731472000 = 0. What is j?
-130170, -24, -4
Suppose 5*i**4 - 2350585*i**3 + 4701155*i**2 - 2350575*i = 0. What is i?
0, 1, 470115
Factor -2*q**3 - 201311352*q**2.
-2*q**2*(q + 100655676)
Determine i so that -3*i**5/8 + 18129*i**4/8 + 97932*i**3 + 2490321*i**2/2 + 5768328*i + 7303200 = 0.
-25, -8, -2, 6086
Factor 4*l**2 + 1195165592*l + 89276299518794404.
4*(l + 149395699)**2
Let r**4/6 - 276594*r**3 - 4978699*r**2/6 - 553189*r = 0. What is r?
-2, -1, 0, 1659567
Factor -4*c**3/3 + 871220*c**2/3 - 154982108*c/3 + 6895293868/3.
-4*(c - 217627)*(c - 89)**2/3
Suppose 6*p**2 + 22839*p/2 - 837963 = 0. Calculate p.
-1974, 283/4
Solve -2*w**3/17 + 112590*w**2/17 - 26459848*w/17 = 0.
0, 236, 56059
Factor 19*k**2 - 20317*k + 247338.
(k - 1057)*(19*k - 234)
Let 20*x**4 - 42035*x**3 - 94970*x**2 + 610085*x + 157800 = 0. What is x?
-5, -1/4, 3, 2104
Determine f so that f**5 + 6840495*f**4 + 11698137424402*f**3 + 152075006701638*f**2 + 643393180430605*f + 877353637356075 = 0.
-3420241, -5, -3
Solve 2*b**4/7 - 418*b**3 + 1332144*b**2/7 - 189302360*b/7 - 1601182400/7 = 0 for b.
-8, 370, 731
Determine s, given that -4*s**5 + 604*s**4 - 28516*s**3 + 474948*s**2 - 2090520*s - 2594592 = 0.
-1, 9, 21, 44, 78
Determine l, given that -l**3/5 - 5519*l**2 + 165598*l/5 - 220808/5 = 0.
-27601, 2, 4
What is j in j**3 - 16116*j**2 + 65396205*j - 3738960778 = 0?
58, 8029
Suppose 4*i**5 + 1000*i**4 + 66516*i**3 + 579632*i**2 - 2219632*i + 1572480 = 0. Calculate i.
-135, -104, -14, 1, 2
Factor 22*t**2/7 + 706724*t/7 - 128496/7.
2*(t + 32124)*(11*t - 2)/7
Find h such that 3*h**5/4 + 31926*h**4 - 383139*h**3/4 + 3*h**2 + 127713*h = 0.
-42571, -1, 0, 2
Find z such that 2*z**2 - 101070*z + 59329908 = 0.
594, 49941
Factor k**3/3 - 688*k**2/3 + 118765*k/3 - 78262.
(k - 359)*(k - 327)*(k - 2)/3
Solve 2*k**4/5 - 312986*k**3 - 7824686*k**2/5 - 10954574*k/5 - 938964 = 0.
-3, -1, 782470
Find b such that 2*b**3 - 5770*b**2 + 244792*b - 1079960 = 0.
5, 38, 2842
Find y, given that -3*y**2/2 + 625977*y/2 + 938979 = 0.
-3, 208662
Solve 5*c**4 + 5015*c**3 - 2443870*c**2 - 2636694060*c - 5263572600 = 0 for c.
-858, -2, 715
Suppose -5*d**3 + 21795*d**2 + 121644000*d - 534183862500 = 0. What is d?
-4941, 4650
Determine b, given that -4*b**4/3 - 302272*b**3/3 - 5621577088*b**2/3 + 1120239377408*b - 164818924465152 = 0.
-38076, 292
Find b such that 2*b**3/7 - 2732*b**2/7 - 991744*b/7 = 0.
-298, 0, 1664
Determine o, given that 2*o**5/11 + 5672*o**4/11 + 3975770*o**3/11 - 64837420*o**2/11 + 166596728*o/11 - 105740752/11 = 0.
-1426, 1, 2, 13
Factor 2*i**2 + 1520*i - 213202.
2*(i - 121)*(i + 881)
Factor 4*a**2 + 143508*a - 4165096.
4*(a - 29)*(a + 35906)
Factor -v**3/2 + 81813*v**2/2 - 838161960*v + 60968026850.
-(v - 40870)**2*(v - 73)/2
Solve -3*q**5 - 252*q**4 + 199986*q**3 - 199476*q**2 - 199983*q + 199728 = 0 for q.
-304, -1, 1, 219
Factor -2*p**3/11 - 493920*p**2/11 + 5927256*p/11 - 1616544.
-2*(p - 6)**2*(p + 246972)/11
Factor -4*s**2 + 154032*s + 1540720.
-4*(s - 38518)*(s + 10)
Find m, given that 14*m**5/9 - 206*m**4/3 + 604*m**3 - 9668*m**2/9 + 1810*m/3 - 66 = 0.
1/7, 1, 9, 33
What is f in -5*f**3/2 - 6923*f**2/2 - 1034305*f + 414276 = 0?
-948, -437, 2/5
Factor 5*x**3 + 40*x**2 - 945*x - 3060.
5*(x - 12)*(x + 3)*(x + 17)
Suppose -6*q**4 - 1049320*q**3 + 349774*q**2 = 0. Calculate q.
-174887, 0, 1/3
Find k such that -2*k**2 + 29737456*k = 0.
0, 14868728
Solve -5*m**2/3 + 50324405*m/3 - 16774800 = 0 for m.
1, 10064880
Factor 4*z**3 + 968792*z**2 - 4844036*z + 5812872.
4*(z - 3)*(z - 2)*(z + 242203)
Factor -4*a**4 - 243201656*a**3 - 3696690342571396*a**2.
-4*a**2*(a + 30400207)**2
What is f in -2*f**5/9 - 332*f**4/9 - 4354*f**3/9 - 14824*f**2/9 + 1272*f + 8512 = 0?
-152, -7, -6, -3, 2
Factor 4*a**5 + 363188*a**4 + 10992005880*a**3 + 110887355075312*a**2 - 110898347444384*a.
4*a*(a - 1)*(a + 30266)**3
What is d in -3*d**4 - 15750*d**3 - 157233*d**2 - 172710*d + 1100400 = 0?
-5240, -7, -5, 2
Factor -g**2 + 389286*g + 1167867.
-(g - 389289)*(g + 3)
Factor -14*g**3 + 96294*g**2 + 192630*g + 96322.
-2*(g + 1)**2*(7*g - 48161)
What is r in -3*r**2/4 + 3839997*r/2 + 3840000 = 0?
-2, 2560000
Factor -5*v**2 - 1169795*v - 4679100.
-5*(v + 4)*(v + 233955)
Suppose -4*d**4 + 9124*d**3 - 199020*d**2 + 515052*d = 0. Calculate d.
0, 3, 19, 2259
Factor -3*c**3/7 - 2618307*c**2/7 - 571295604672*c/7 - 571292986368/7.
-3*(c + 1)*(c + 436384)**2/7
Factor i**2/8 + 7207449*i/4 + 51947321087601/8.
(i + 7207449)**2/8
Determine z, given that -2*z**4 - 561494*z**3 - 39409719746*z**2 - 39408035274*z + 78818316516 = 0.
-140373, -2, 1
Factor 3*p**2/4 + 225882*p - 4517940.
3*(p - 20)*(p + 301196)/4
Determine n, given that 2*n**2/9 - 1600628*n/9 + 25608512/3 = 0.
48, 800266
Factor j**4/2 - 446765*j**3 + 199599858753*j**2/2 - 199598518460*j + 99799035848.
(j - 446764)**2*(j - 1)**2/2
Determine s, given that 4*s**2 + 788*s - 110960 = 0.
-292, 95
Suppose 2*g**5/3 - 1484*g**4/3 + 108892*g**3 - 17953672*g**2/3 - 38223878*g/3 + 18617452 = 0. Calculate g.
-3, 1, 86, 329
Suppose -24*j**4 - 574*j**3 - 1166*j**2 + 14464*j + 3680 = 0. Calculate j.
-20, -23/3, -1/4, 4
Solve 2*i**5/7 + 1678*i**4/7 - 35290*i**3/7 - 799670*i**2/7 - 685432*i/7 + 1518712/7 = 0.
-859, -13, -2, 1, 34
Factor -y**2 - 137794*y - 24907953.
-(y + 181)*(y + 137613)
Solve r**4 + 30*r**3 - 15579*r**2 - 126040*r = 0 for r.
-137, -8, 0, 115
Factor 23*i**3/12 - 89689*i**2/3 + 7799*i/3.
i*(i - 15598)*(23*i - 2)/12
Determine n so that 3882*n**4 - 37514*n**3 + 93052*n**2 - 46296*n - 144 = 0.
-2/647, 2/3, 3, 6
Factor m**3/5 + 21782*m**2/5 - 654331*m/5 + 632548/5.
(m - 29)*(m - 1)*(m + 21812)/5
Suppose -693*c**3 + 2087*c**2/3 + 1051966*c/3 - 4048/3 = 0. What is c?
-22, 8/2079, 23
Suppose -6*n**5 + 125191*n**4 - 146043*n**3 - 104327*n**2 + 146049*n - 20864 = 0. Calculate n.
-1, 1/6, 1, 20864
Solve -2*p**4/7 - 121420*p**3/7 - 35220312*p**2/7 - 3412719572*p/7 - 110285579974/7 = 0 for p.
-60419, -97
Determine b so that 4*b**2 - 39477360*b + 97403872035600 = 0.
4934670
Factor 5*w**3 + 385190*w**2 - 270689635*w + 47341612680.
5*(w - 349)**2*(w + 77736)
Let u**2 - 105863736*u + 2801782649969424 = 0. Calculate u.
52931868
What is z in z**4 + 492*z**3 + 57371*z**2 - 804888*z - 5397840 = 0?
-252, -5, 17
Factor -2*l**3 - 13566*l**2 + 32*l + 217056.
-2*(l - 4)*(l + 4)*(l + 6783)
Find q, given that -5*q**5 + 200*q**4 + 4655*q**3 - 9890*q**2 + 5040*q = 0.
-18, 0, 1, 56
Factor -246129*i**2/5 + 3938061*i/5 + 48/5.
-3*(i - 16)*(82043*i + 1)/5
Determine s so that -60*s**5 + 398784*s**4 - 2948859*s**3 + 7589517*s**2 - 7568760*s + 1991700 = 0.
2/5, 2, 5/2, 6639
Solve 4*w**4 - 78320544*w**3 + 383381804099032*w**2 - 766763373236448*w + 383381647457956 = 0.
1, 9790067
Find l, given that 4*l**4 + 174327740*l**3 - 348655496*l**2 = 0.
-43581937, 0, 2
Factor 3*g**3 + 2268*g**2 + 518175*g + 31822854.
3*(g + 98)*(g + 329)**2
Find x, given that -5*x**2 - 171995*x - 859850 = 0.
-34394, -5
Determine z, given that 9*z**4 - 119291*z**3 - 172329*z**2 + 13251*z + 66280 = 0.
-1, 5/9, 13256
Let 