(d - 209)**2*(d + 20441)
Factor -2*x**3/5 + 56958*x**2/5 - 405612144*x/5 + 1216323864/5.
-2*(x - 14238)**2*(x - 3)/5
Find s, given that -s**5/5 - 1942*s**4/5 + 1333299*s**3/5 - 200535088*s**2/5 + 395752532*s/5 = 0.
-2506, 0, 2, 281
Factor -3*z**3 + 13365*z**2 - 385146*z + 371784.
-3*(z - 4426)*(z - 28)*(z - 1)
Factor j**3/2 + 433*j**2/2 + 11655*j.
j*(j + 63)*(j + 370)/2
Factor -2705138*c**3 + 20715356*c**2 - 10827648*c - 126157824.
-2*(c + 2)*(1163*c - 5616)**2
Factor 5*a**2 + 602030*a - 67490080.
5*(a - 112)*(a + 120518)
Let -2*n**2/13 - 470728*n/13 - 1882880/13 = 0. Calculate n.
-235360, -4
Solve 2*l**5/5 + 3518014*l**4/5 + 1547054572028*l**3/5 + 1547047536004*l**2/5 - 309410914406*l - 1547051054018/5 = 0 for l.
-879503, -1, 1
Determine b, given that -5*b**4 + 1265*b**3 + 180120*b**2 + 1970640*b = 0.
-92, -12, 0, 357
Find i such that -10576*i**3 + 179790*i**2 - 634526*i - 120 = 0.
-1/5288, 5, 12
Factor 2*p**2/7 - 41093270*p/7 + 41093268/7.
2*(p - 20546634)*(p - 1)/7
Suppose 116*t**3 + 444792*t**2 + 426915456*t + 1027895680 = 0. What is t?
-1916, -70/29
Factor 3*j**4 - 150093*j**3 - 9463797*j**2 - 198795303*j - 1391761602.
3*(j - 50094)*(j + 21)**3
Determine p, given that 373*p**3 + 18992*p**2 + 17069*p - 1550 = 0.
-50, -1, 31/373
Let -a**5 - 2927*a**4 - 1308445*a**3 - 2602265*a**2 + 1308446*a + 2605192 = 0. What is a?
-2377, -548, -2, -1, 1
Factor 2*t**4 - 353368*t**3 + 15602963016*t**2 + 499566235904*t + 3997253715968.
2*(t - 88358)**2*(t + 16)**2
What is q in 4*q**4 + 510409924*q**3 + 16282393922970228*q**2 + 48847178196041276*q + 32564784783480968 = 0?
-63801239, -2, -1
Factor -4*v**2 + 44280*v + 2268684.
-4*(v - 11121)*(v + 51)
What is t in -2*t**3/15 - 174*t**2 + 3494*t/5 + 2618/3 = 0?
-1309, -1, 5
Find r, given that -4*r**2/5 - 37716536*r/5 - 88908567989956/5 = 0.
-4714567
Solve -t**4/3 - 500*t**3 + 21343*t**2/3 + 74186*t = 0.
-1514, -7, 0, 21
Factor -5*w**2 - 98495*w + 47706780.
-5*(w - 473)*(w + 20172)
Determine m so that 4*m**3 - 164*m**2 + 1344*m + 5616 = 0.
-3, 18, 26
Determine k, given that -243*k**5/2 + 295137*k**4/2 - 952323*k**3 - 11893338*k**2 - 5138364*k - 565344 = 0.
-6, -2/9, 13, 1208
Solve 26003*c**3 + 286035*c**2 + 22*c = 0.
-11, -2/26003, 0
Solve 9*m**3 - 890463*m**2 + 22026715347*m - 51390821181 = 0.
7/3, 49469
Determine x, given that -28*x**5 + 173265648*x**4 - 268044754458508*x**3 + 765841211475000*x**2 - 727548852636928*x + 229752222354816 = 0.
6/7, 1, 3094028
Find b, given that -4*b**3/13 + 69426*b**2/13 + 6526114*b/13 + 3245700/13 = 0.
-93, -1/2, 17450
Factor 2*b**2/5 - 4838584*b/5 + 2926486890632/5.
2*(b - 1209646)**2/5
Factor 2*p**4 + 1930*p**3 - 28551600*p**2 + 46887984000*p - 22654684800000.
2*(p - 1320)**3*(p + 4925)
Factor 3*m**2/5 - 1174752*m/5 + 115003521792/5.
3*(m - 195792)**2/5
Suppose -z**3 + 35737*z**2 - 142932*z = 0. Calculate z.
0, 4, 35733
Solve -9*w**3 - 32708898*w**2/5 + 19625357*w/5 + 290746 = 0.
-726865, -1/15, 2/3
Factor p**3 + 1875844*p**2 - 22510252*p + 37517120.
(p - 10)*(p - 2)*(p + 1875856)
Find o such that -3*o**4 + 423*o**3 + 7566*o**2 - 231840*o - 1293600 = 0.
-28, -5, 20, 154
Let -10*q**2/7 + 2692258*q + 7538324/7 = 0. Calculate q.
-2/5, 1884581
Factor -2*u**2/3 + 542788*u/3 - 361856.
-2*(u - 271392)*(u - 2)/3
Factor -76176*p**3 + 39380232*p**2 + 1426895*p + 12925.
-(p - 517)*(276*p + 5)**2
What is f in -2*f**2 + 276582*f - 25428616 = 0?
92, 138199
Let 5*p**2 - 1041930*p - 5209775 = 0. What is p?
-5, 208391
Solve c**5/6 - 52243*c**4/6 - 391952*c**3/3 + 888386*c**2/3 = 0.
-17, 0, 2, 52258
Factor 2*x**2/7 + 477486*x/7 + 10981120/7.
2*(x + 23)*(x + 238720)/7
Determine h, given that -3*h**2 + 8322778*h - 11097032 = 0.
4/3, 2774258
Factor 2*u**4/11 - 3520600*u**3/11 - 137305428*u**2/11 - 1784979352*u/11 - 7734929566/11.
2*(u - 1760339)*(u + 13)**3/11
Suppose 5*k**2 + 63735*k + 7388550 = 0. Calculate k.
-12630, -117
Let s**3/2 + 1290*s**2 - 38911*s/2 + 18165 = 0. What is s?
-2595, 1, 14
Factor -2*t**3 + 15362*t**2 + 292640*t - 308000.
-2*(t - 7700)*(t - 1)*(t + 20)
Suppose 24*c**2 + 4599105*c + 1724661 = 0. Calculate c.
-191629, -3/8
Factor -5*q**3 - 39844080*q**2 - 79377535552320*q.
-5*q*(q + 3984408)**2
Find t such that -5*t**2 - 3701705370*t - 685131132314341845 = 0.
-370170537
Solve x**4/9 + 10553*x**3/9 - 423763*x**2/9 - 455417*x/9 + 96514 = 0 for x.
-10593, -2, 1, 41
Solve 15*t**4 + 3924*t**3 - 232191*t**2 + 2864076*t + 1802880 = 0.
-313, -3/5, 20, 32
Find j, given that -2*j**2 + 254724580*j - 8110576457022050 = 0.
63681145
Suppose -3*l**4 - 27168*l**3 + 1118475*l**2 - 4147788*l + 4039068 = 0. What is l?
-9097, 2, 37
Solve 5*v**2 + 5108300*v + 1304736444500 = 0.
-510830
Let 3*m**2 + 1871730*m - 9358725 = 0. Calculate m.
-623915, 5
Factor -4*j**2 + 428012*j + 117145392.
-4*(j - 107276)*(j + 273)
Determine h, given that h**2 + 119687*h + 6101436 = 0.
-119636, -51
Factor s**3/6 - 2104225*s**2/6 + 5260550*s/3.
s*(s - 2104220)*(s - 5)/6
Solve -b**3/5 + 44917*b**2/5 + 9658249*b/5 - 1940633 = 0 for b.
-215, 1, 45131
Determine i so that i**5/8 + 1081*i**4/8 + 52887*i**3/8 + 368275*i**2/8 + 72776*i + 66435/2 = 0.
-1030, -43, -6, -1
Factor 3*v**2/4 - 2605497*v/4 + 48199641/2.
3*(v - 868462)*(v - 37)/4
Solve -3*t**3 - 54747*t**2 - 251863920*t - 19070296476 = 0 for t.
-9086, -77
Factor z**4/2 - 94866*z**3 + 5999610435*z**2 - 126469787530450*z - 758926723293375/2.
(z - 63245)**3*(z + 3)/2
Let -36*d**5 - 129480*d**4 - 3814984*d**3 - 19311696*d**2 + 178451532*d + 616634424 = 0. Calculate d.
-3567, -49/3, -3, 6
Factor -w**2/4 - 3852467*w - 14841501986089.
-(w + 7704934)**2/4
Determine j so that -2*j**3/5 - 1742*j**2/5 - 152856*j/5 = 0.
-772, -99, 0
Factor v**3/5 - 16182*v**2/5 - 178149*v/5 + 421018/5.
(v - 16193)*(v - 2)*(v + 13)/5
What is a in -3*a**3/2 + 3189*a**2 + 1163565*a/2 = 0?
-169, 0, 2295
Suppose -q**4/2 - 438591*q**3 + 50001903*q**2/2 - 315807390*q - 1184272650 = 0. What is q?
-877239, -3, 30
Suppose -214*m**2 - 5676*m/5 - 326 = 0. What is m?
-5, -163/535
Solve 6*i**4 + 4957*i**3/5 - 13909*i**2/5 + 5902*i/5 + 3696/5 = 0 for i.
-168, -1/3, 11/10, 2
Factor -2*x**3 - 737226*x**2 - 4423302*x - 6634926.
-2*(x + 3)**2*(x + 368607)
Factor -2*l**2/7 + 2144424*l/7 - 574819286472/7.
-2*(l - 536106)**2/7
Solve -3*u**3 + 342036*u**2 - 8207421*u + 32486580 = 0.
5, 19, 113988
Suppose 3*f**3/2 + 34113*f**2 + 68220*f = 0. What is f?
-22740, -2, 0
Suppose 3*u**5 - 1230*u**4 + 54171*u**3 - 399504*u**2 + 346560*u = 0. What is u?
0, 1, 8, 40, 361
Determine f so that -2*f**3/5 + 173584*f**2/5 + 2223104*f + 177881088/5 = 0.
-32, 86856
Determine h, given that 2*h**3 + 12110*h**2/9 + 643618*h/3 + 1918762/9 = 0.
-3733/9, -257, -1
Factor -1882*j**2/3 - 265382*j/3 - 940.
-2*(j + 141)*(941*j + 10)/3
Determine p, given that -100*p**4 - 187280*p**3 - 100169676*p**2 - 11226051792*p + 11326408848 = 0.
-4302/5, -153, 1
Determine z, given that -4*z**4 - 5596*z**3 + 142612*z**2 + 301996*z + 153792 = 0.
-1424, -1, 27
Suppose 3*a**2 - 155127*a + 3256344 = 0. Calculate a.
21, 51688
Factor o**3/9 + 3297602*o**2/9 + 13190396*o/9 + 13190392/9.
(o + 2)**2*(o + 3297598)/9
Factor 39*y**2/4 + 329727*y/4 - 76095/2.
3*(y + 8455)*(13*y - 6)/4
Find a, given that 2*a**4/3 - 532*a**3/3 - 640*a**2/3 + 2892096*a - 177168384 = 0.
-128, 108, 178
Suppose -2*c**3/5 + 374076*c**2 - 437277075096*c/5 - 6122245651312/5 = 0. Calculate c.
-14, 467602
Factor 5*b**5 - 46770*b**4 - 86418840*b**3 + 1880713819040*b**2 - 4522519530940800*b.
5*b*(b - 5228)**3*(b + 6330)
Let 2*u**2/23 + 68286*u/23 - 36542180/23 = 0. What is u?
-34670, 527
Solve -381*p**3 + 251505*p**2 - 280779*p + 29655 = 0 for p.
15/127, 1, 659
Find a such that -3*a**4 - 208494*a**3 - 3605342151*a**2 + 595488470148*a - 24472641372492 = 0.
-34831, 82
Solve 2985*a**2/2 + 277563*a/2 - 1953 = 0.
-93, 14/995
Factor 8*w**2/13 + 12016542*w/13 - 24033116/13.
2*(w - 2)*(4*w + 6008279)/13
Factor 2*l**3/3 - 37061414*l**2/3 + 57231189830210*l - 57231177476406.
2*(l - 9265353)**2*(l - 1)/3
Factor d**3 - 5008*d**2 - 2179355*d - 227691450.
(d - 5418)*(d + 205)**2
Suppose 2*l**4/9 - 296*l**3/3 + 11860*l**2 - 685000*l/9 - 37343750 = 0. What is l?
-45, 125, 239
Factor -2092*o**2 + 437548088*o - 2509836.
-4*(o - 209153)*(523*o - 3)
Find o such that -243*o**3 + 91329*o**2 - 4467228*o - 719316 = 0.
-13/81, 