4.
-(h - 34)*(h + 176341)
Determine j so that 8*j**2 + 51281*j - 102594 = 0.
-51297/8, 2
Factor -5*b**2 - 112724750*b - 635343463128125.
-5*(b + 11272475)**2
Factor 7*q**3/4 - 13899*q**2/2 + 253577*q/4 - 17829/2.
(q - 3962)*(q - 9)*(7*q - 1)/4
Factor -5*g**3 + 2775*g**2 - 249480*g + 5953500.
-5*(g - 450)*(g - 63)*(g - 42)
Factor q**3/2 - 100202*q**2 + 1202393*q/2 - 500995.
(q - 200398)*(q - 5)*(q - 1)/2
Find a such that -2*a**5/3 + 16538*a**4/3 + 82804*a**3 + 894592*a**2/3 + 662720*a/3 = 0.
-10, -4, -1, 0, 8284
Factor -x**3/5 + 24157476*x**2/5 - 145895959987584*x/5 + 583583453430784/5.
-(x - 12078736)**2*(x - 4)/5
Factor 4*h**4 - 18671848*h**3 + 21789869233444*h**2.
4*h**2*(h - 2333981)**2
Factor 2*a**2/13 - 2245452*a/13 + 114512850/13.
2*(a - 1122675)*(a - 51)/13
Factor 2*h**3/3 + 28022*h**2 + 296400050*h + 121979952902/3.
2*(h + 139)*(h + 20947)**2/3
What is k in -k**3 + 13629*k**2 - 15437856*k - 30930236 = 0?
-2, 1249, 12382
Factor -c**2/11 + 50*c/11 + 268736/11.
-(c - 544)*(c + 494)/11
Factor -v**2 - 2716364*v - 8149083.
-(v + 3)*(v + 2716361)
Factor -3*m**3/5 - 75324360*m**2 - 11820332062891791*m/5 - 23640662619296406/5.
-3*(m + 2)*(m + 62770299)**2/5
Factor -22*v**3/3 + 1451574*v**2 - 71831766206*v - 19590517682/3.
-2*(v - 98971)**2*(11*v + 1)/3
Let 2*h**4/5 - 19376*h**3/5 + 47179642*h**2/5 - 1214532724*h/5 + 2240501856/5 = 0. Calculate h.
2, 24, 4831
Factor 2*l**3/15 - 626124*l**2/5 + 147011723766*l/5.
2*l*(l - 469593)**2/15
Determine p, given that 4*p**5/3 + 16414756*p**4/3 + 7484563338848*p**3 + 10238119222072558336*p**2/3 + 10238096768398956544*p/3 = 0.
-1367896, -1, 0
Let p**2 + 2357*p + 44422 = 0. Calculate p.
-2338, -19
Determine t, given that -4*t**2 + 20464*t + 845748 = 0.
-41, 5157
Factor -4*l**3 + 617820*l**2 + 17301312*l + 121114672.
-4*(l - 154483)*(l + 14)**2
Determine j, given that -j**4/2 + 112035*j**3 - 8325230568*j**2 + 201943447722293*j + 478420504553437953/2 = 0.
-1131, 75067
Determine z, given that -z**3/5 + 571*z**2/5 - 80968*z/5 - 16308 = 0.
-1, 270, 302
Factor -r**2/4 - 2589*r/4 - 647.
-(r + 1)*(r + 2588)/4
Determine a, given that -8919*a**5/2 - 17837*a**4 + 26765*a**3/2 + 80268*a**2 - 18*a = 0.
-3, 0, 2/8919, 2
Find t, given that t**2 + 898518*t - 898519 = 0.
-898519, 1
Determine z so that z**5/4 - 3833*z**4/4 + 1497175*z**3/4 - 156107063*z**2/4 + 76934482*z - 38281052 = 0.
1, 212, 3407
Determine y, given that -y**2 - 3695*y + 9442554 = 0.
-5433, 1738
Factor 3*x**3 + 1515*x**2 + 185238*x - 964440.
3*(x - 5)*(x + 228)*(x + 282)
Suppose 3*r**3 - 45990*r**2 + 59896611*r - 20421567396 = 0. What is r?
699, 13932
Find l such that -4*l**4/3 + 1469*l**3/3 - 67567*l**2/3 + 182000*l - 44100 = 0.
1/4, 10, 42, 315
Determine u so that -3*u**2 - 645*u + 2884878 = 0.
-1094, 879
Factor -2*h**2 + 2244*h - 67642.
-2*(h - 1091)*(h - 31)
Determine f, given that f**4/7 - 65*f**3/7 + 153*f**2/7 + 17901*f/7 - 5130 = 0.
-15, 2, 21, 57
Factor 2*b**2/7 + 1472342*b - 20612796/7.
2*(b - 2)*(b + 5153199)/7
Factor -3*y**2/7 + 505818*y/7 + 505839.
-3*(y - 168613)*(y + 7)/7
Determine v so that -v**2/9 - 2815*v/3 - 202834 = 0.
-8223, -222
Factor 5*d**3 - 3110975*d**2 + 15554780*d - 18665700.
5*(d - 622190)*(d - 3)*(d - 2)
Suppose 5*y**5 + 24565*y**4 - 5562840*y**3 + 16467300*y**2 = 0. Calculate y.
-5130, 0, 3, 214
Factor 40*o**2/3 + 183605*o/3 - 114800.
5*(o + 4592)*(8*o - 15)/3
Find b, given that -57*b**4/5 + 1050618*b**3/5 + 1161387*b**2/5 - 1990752*b/5 - 221196/5 = 0.
-2, -2/19, 1, 18433
Determine w, given that 20*w**4/7 - 966404*w**3/7 + 36884152*w**2/7 + 159134096*w/7 + 163000032/7 = 0.
-2, 211/5, 48282
Factor -v**2/5 + 692111*v/5 + 1384226/5.
-(v - 692113)*(v + 2)/5
Factor -3*u**3 - 172154010*u**2 + 344308029*u - 172154016.
-3*(u - 1)**2*(u + 57384672)
Factor 4*w**2 + 12793392*w + 10229429929104.
4*(w + 1599174)**2
Suppose -f**3/2 - 787*f**2 + 709675*f/2 - 354050 = 0. What is f?
-1940, 1, 365
Determine d, given that 207*d**5 + 961518*d**4 - 2871852*d**3 + 2844378*d**2 - 920307*d - 13944 = 0.
-4648, -1/69, 1
Let 169*f**4/4 + 31460*f**3 + 1440039*f**2/4 + 212614*f + 32252 = 0. What is f?
-733, -11, -4/13
Find a such that 4*a**5 - 1972*a**4 - 106676*a**3 - 1044732*a**2 = 0.
-37, -13, 0, 543
Determine q, given that -q**3 + 2578*q**2 + 794647*q - 3962039224 = 0.
-1144, 1861
Determine x, given that 3*x**5/7 + 22914*x**4/7 + 137349*x**3/7 - 206106*x**2/7 - 45792*x = 0.
-7632, -7, -1, 0, 2
Determine n, given that 2*n**5/3 + 6064*n**4/3 + 1153576*n**3/3 + 58914464*n**2/3 + 72529408*n = 0.
-2832, -98, -4, 0
Determine a so that a**2/4 - 27752169*a/4 + 6938042 = 0.
1, 27752168
Find p such that p**5/11 + 15113*p**4/11 + 56835619*p**3/11 - 2002899145*p**2/11 + 18524670976*p/11 - 16578622564/11 = 0.
-7574, 1, 17
Find i, given that 46*i**3 + 136*i**2 - 6600*i + 24768 = 0.
-344/23, 6
Factor -4*u**2 + 1534168*u.
-4*u*(u - 383542)
Let -3*d**3 + 428619*d**2 - 3000186*d = 0. What is d?
0, 7, 142866
Factor 26*w**2 - 141751*w/2 - 1363.
(w - 2726)*(52*w + 1)/2
Suppose 3*k**3 - 6957*k**2 + 13902*k = 0. What is k?
0, 2, 2317
Solve 2*a**3 + 2698*a**2 - 1088100*a = 0.
-1674, 0, 325
Factor 5*i**2 + 236305*i - 708960.
5*(i - 3)*(i + 47264)
Suppose 26*n**5/3 - 4429018*n**4/3 - 9539536*n**3/3 - 454264*n**2 = 0. Calculate n.
-2, -2/13, 0, 170349
Determine q so that -2*q**3/9 + 2426*q**2 + 451400*q = 0.
-183, 0, 11100
Factor j**2 - 30011174*j + 225167641214569.
(j - 15005587)**2
Suppose 2*z**2/13 - 11855732*z/13 + 17569797656978/13 = 0. Calculate z.
2963933
Determine o, given that -2*o**3 + 768878*o**2 - 73895519030*o - 221693477046 = 0.
-3, 192221
Factor -4*j**2/5 - 16468*j/5 - 13220928/5.
-4*(j + 1093)*(j + 3024)/5
Suppose q**4/3 - 2626*q**3/9 - 9668*q**2/9 - 298*q/3 + 1465 = 0. Calculate q.
-3, -5/3, 1, 879
Determine w, given that 2*w**2 + 137402*w - 17344404 = 0.
-68827, 126
Let 9*k**4 - 5416962*k**3 + 814984629972*k**2 + 33695212544370*k + 11141183466387 = 0. What is k?
-41, -1/3, 300963
Factor p**2/2 + 58697*p/2 - 822150.
(p - 28)*(p + 58725)/2
Suppose i**2/10 - 25083*i/10 + 50126 = 0. Calculate i.
20, 25063
Factor 4*o**4 + 392*o**3 + 9068*o**2 + 8680*o.
4*o*(o + 1)*(o + 35)*(o + 62)
Let -841*i**3/9 - 53823884*i**2/9 + 7423996*i/9 - 256000/9 = 0. Calculate i.
-64000, 2/29
Find t, given that -3*t**4/5 - 528*t**3 + 21381*t**2/5 + 61182*t/5 - 15984 = 0.
-888, -3, 1, 10
Factor -2*c**3 - 3452*c**2 + 108538*c - 695772.
-2*(c - 22)*(c - 9)*(c + 1757)
Suppose -f**4 + 1619*f**3 + 91678*f**2 + 655456*f + 1258848 = 0. What is f?
-47, -4, 1674
Find d, given that -3*d**3 - 98782674*d**2 - 197565339*d - 98782668 = 0.
-32927556, -1
Determine q, given that 2*q**2 + 181720*q + 545142 = 0.
-90857, -3
Let -5*o**3 + 797845*o**2 - 27121115*o + 26323275 = 0. What is o?
1, 33, 159535
Factor -n**3 + 10178*n**2 - 867912*n.
-n*(n - 10092)*(n - 86)
Suppose -2*j**5/11 + 126*j**4/11 - 2270*j**3/11 + 750*j**2 + 3872*j + 2904 = 0. Calculate j.
-2, -1, 11, 22, 33
Solve 2*o**2/7 - 10744864*o/7 + 14431512797312/7 = 0 for o.
2686216
Suppose -3*c**2 + 744*c - 44541 = 0. Calculate c.
101, 147
Factor 2*s**4 + 2524184*s**3 + 796397720264*s**2 - 25486665654528*s + 203898494896128.
2*(s - 16)**2*(s + 631062)**2
Determine z so that 4*z**4 + 1076*z**3 + 71352*z**2 + 904752*z - 977184 = 0.
-174, -78, -18, 1
Determine b so that -4*b**3/7 - 5928*b**2/7 + 408412*b/7 - 402480/7 = 0.
-1548, 1, 65
Let -j**3 + 2677*j**2 - 771830*j - 1554376 = 0. Calculate j.
-2, 331, 2348
Solve -2*n**3/13 + 1366*n**2/13 - 210188*n/13 + 819024/13 = 0 for n.
4, 226, 453
Let 30*n**3/7 - 132579504*n**2/7 + 106063578*n/7 + 26515896/7 = 0. Calculate n.
-1/5, 1, 4419316
Factor -16*g**2 + 509903184*g - 4062519641458404.
-4*(2*g - 31868949)**2
Let -5*z**2 - 61785*z - 160005610 = 0. Calculate z.
-8663, -3694
Factor -2*m**5 - 30396*m**4 + 182424*m**3 - 364880*m**2 + 243264*m.
-2*m*(m - 2)**3*(m + 15204)
Factor 4*o**4 - 1877852*o**3 + 220394569440*o**2 + 220396447296*o.
4*o*(o - 234732)**2*(o + 1)
Find s, given that 2*s**3 + 125880*s**2 - 2014514*s + 4910568 = 0.
-62956, 3, 13
Factor -2*j**2 - 5763160*j.
-2*j*(j + 2881580)
Factor t**3/4 - 2735*t**2 + 201021*t.
t*(t - 10866)*(t - 74)/4
Factor 2*n**3 + 1306*n**2 - 2179816*n - 2181120.
2*(n - 768)*(n + 1)*(n + 1420)
Factor -a**3/2 + 1068623*a**2/2 + 2137249*a/2 + 1068625/2.
-(a - 1068625)*(a +