
Determine r, given that r**3/11 - 1068*r**2/11 + 271908*r/11 + 7154784/11 = 0.
-24, 546
Solve -5*q**3 - 100*q**2 + 9355*q + 9450 = 0 for q.
-54, -1, 35
Let -20*m**4 - 588*m**3 + 4568*m**2 - 6720*m - 3456 = 0. Calculate m.
-36, -2/5, 3, 4
Factor 3*j**3 - 21*j**2 - 6126*j + 54648.
3*(j - 44)*(j - 9)*(j + 46)
Factor -166*x**3 + 170*x**2 - 4*x.
-2*x*(x - 1)*(83*x - 2)
Suppose -3738*v**3/5 + 14948*v**2/5 - 14936*v/5 - 16/5 = 0. Calculate v.
-2/1869, 2
Factor -b**3/6 - 475*b**2/3 + 4775*b/6.
-b*(b - 5)*(b + 955)/6
Factor 2*y**2/11 + 222*y/11 + 5476/11.
2*(y + 37)*(y + 74)/11
Find x, given that 4*x**2 + 7624*x + 15232 = 0.
-1904, -2
Solve g**3 + 1319*g**2 + 426240*g - 5766228 = 0.
-666, 13
Factor -h**3 - 222*h**2 - 1079*h + 1302.
-(h - 1)*(h + 6)*(h + 217)
Find f such that 18*f**5/5 + 66*f**4 + 974*f**3/5 + 230*f**2 + 608*f/5 + 24 = 0.
-15, -1, -2/3
Determine v, given that 4*v**3 + 128*v**2 - 1852*v + 1720 = 0.
-43, 1, 10
Let r**5 + 76*r**4 + 357*r**3 + 122*r**2 - 1444*r - 1704 = 0. What is r?
-71, -3, -2, 2
Determine r so that -2*r**2/5 - 478*r/5 - 2796/5 = 0.
-233, -6
Factor -3*f**2/7 + 125934*f/7 - 125931/7.
-3*(f - 41977)*(f - 1)/7
Factor -h**2 + 61*h - 874.
-(h - 38)*(h - 23)
Suppose -s**2 - 111395*s - 222786 = 0. What is s?
-111393, -2
Solve 2*x**2/15 - 5494*x/15 - 5504/3 = 0.
-5, 2752
Factor 2*i**2/19 - 4854*i/19.
2*i*(i - 2427)/19
Factor -116*x**4 - x**3.
-x**3*(116*x + 1)
Factor 2*b**2/11 + 144724*b + 28799424742.
2*(b + 397991)**2/11
What is r in 3*r**2 - 1692*r - 5103 = 0?
-3, 567
Determine s so that -s**5/7 + 2448*s**4/7 + 31947*s**3/7 + 113194*s**2/7 + 29604*s/7 - 177192/7 = 0.
-6, -2, 1, 2461
Factor -p**3 + 131*p**2 - 128*p - 260.
-(p - 130)*(p - 2)*(p + 1)
Find r such that 3*r**3 + 3966*r**2 + 161151*r - 165120 = 0.
-1280, -43, 1
Suppose -4*l**3 + 3400*l**2 - 252800*l + 4928000 = 0. What is l?
40, 770
Factor 4*j**2/9 + 1747*j - 3931/9.
(j + 3931)*(4*j - 1)/9
Find p, given that p**3 - 39116*p**2 + 382084725*p + 8424806742 = 0.
-22, 19569
Factor x**3 - 3429*x**2 - 17176*x + 20604.
(x - 3434)*(x - 1)*(x + 6)
Suppose -4*k**3 - 1068*k**2 - 73856*k - 405552 = 0. What is k?
-142, -119, -6
Determine j so that -j**4 + 33*j**3/2 + 66*j**2 + 157*j/2 + 30 = 0.
-3/2, -1, 20
Factor z**4 + 144*z**3 - 3426*z**2 + 6416*z - 3135.
(z - 19)*(z - 1)**2*(z + 165)
Find a, given that 13865378*a**2 - 4402376*a + 349448 = 0.
418/2633
Factor 3*v**2/5 - 11763*v/5 - 9420.
3*(v - 3925)*(v + 4)/5
Suppose -2*w**5/5 - 474*w**4/5 + 680*w**3 - 3936*w**2/5 - 7808*w/5 = 0. Calculate w.
-244, -1, 0, 4
Factor -5*u**2 + 27210*u + 108920.
-5*(u - 5446)*(u + 4)
Factor -l**3/4 - 81*l**2/4 - 419*l - 759.
-(l + 2)*(l + 33)*(l + 46)/4
Solve 290*c**2/9 - 158*c - 140/9 = 0 for c.
-14/145, 5
Factor k**4/8 + 83*k**3/8 + 295*k**2/8 - 1659*k/8.
k*(k - 3)*(k + 7)*(k + 79)/8
Factor k**3/4 - 14711*k**2/4 + 11030*k + 14708.
(k - 14708)*(k - 4)*(k + 1)/4
Factor -4*g**2/7 + 18168*g/7.
-4*g*(g - 4542)/7
Determine k so that -3*k**4 - 30*k**3 + 1188*k**2 + 17976*k + 51744 = 0.
-14, -4, 22
Factor g**2/3 - 132298*g/3 + 4375690201/3.
(g - 66149)**2/3
Factor 2*h**2/7 + 14548*h/7 - 14550/7.
2*(h - 1)*(h + 7275)/7
Let 5*w**2 - 1209500*w + 73144512500 = 0. Calculate w.
120950
Find q, given that q**5/3 + 14*q**4/3 + 11*q**3/3 - 26*q**2/3 = 0.
-13, -2, 0, 1
Factor 3*f**3 - 714*f**2 + 36561*f - 70290.
3*(f - 165)*(f - 71)*(f - 2)
Factor 2*q**2 - 6316*q - 25296.
2*(q - 3162)*(q + 4)
Factor 28227*m**3/5 - 8865606*m**2/5 + 146208*m - 15072/5.
3*(m - 314)*(97*m - 4)**2/5
Factor -n**3/7 - 2715*n**2 - 37998*n/7 + 152024/7.
-(n - 2)*(n + 4)*(n + 19003)/7
Factor 5*h**2 + 26590*h + 53160.
5*(h + 2)*(h + 5316)
Determine i, given that 3*i**5/4 - 4111*i**4/4 - 103047*i**3/4 - 255129*i**2/4 - 54394*i - 15345 = 0.
-22, -1, -2/3, 1395
Factor -5*s**2 + 4555640*s - 1037692790480.
-5*(s - 455564)**2
Solve 4*t**3 + 40*t**2 + 52*t - 96 = 0 for t.
-8, -3, 1
Solve -23416*i**2/23 + 23410*i/23 + 6/23 = 0 for i.
-3/11708, 1
What is p in -20*p**5 - 5040*p**4 - 309825*p**3 + 975295*p**2 - 20400*p - 1300500 = 0?
-255/2, -1, 2
Factor y**4 - 74*y**3 + 2016*y**2 - 24064*y + 106496.
(y - 26)*(y - 16)**3
Let 3*f**2 - 2211*f - 6660 = 0. Calculate f.
-3, 740
Suppose -3*j**5/5 + 267*j**4/5 - 4848*j**3/5 - 10788*j**2/5 = 0. Calculate j.
-2, 0, 29, 62
Suppose 2*k**3 - 328*k**2 - 1344*k = 0. Calculate k.
-4, 0, 168
Find z, given that 2*z**5 + 248*z**4 + 724*z**3 - 248*z**2 - 726*z = 0.
-121, -3, -1, 0, 1
Factor 4*t**5/7 - 936*t**4/7 + 9180*t**3 - 151200*t**2.
4*t**2*(t - 105)**2*(t - 24)/7
Factor z**3/4 + 563*z**2/4 + 140*z - 281.
(z - 1)*(z + 2)*(z + 562)/4
Solve 10*l**3/7 - 12154*l**2/7 - 19472*l/7 = 0.
-8/5, 0, 1217
What is t in -t**5 + 35*t**4 + 290*t**3 + 180*t**2 - 504*t = 0?
-6, -2, 0, 1, 42
Find w such that -w**2 + 790*w - 7029 = 0.
9, 781
Let x**2/3 - 10573*x/3 + 21142/3 = 0. What is x?
2, 10571
Find g, given that g**5/2 + 8*g**4 + 23*g**3/2 - 38*g**2 - 42*g = 0.
-14, -3, -1, 0, 2
Factor -15*p**2 - 7335411*p - 2934162.
-3*(p + 489027)*(5*p + 2)
What is h in 2*h**5/5 - 18934*h**4/5 + 44859358*h**3/5 - 44795002*h**2 + 358193472*h/5 - 179058888/5 = 0?
1, 2, 4731
Factor -2*c**2/15 + 3470*c/3.
-2*c*(c - 8675)/15
Suppose -3*k**5 - 8316*k**4 - 590406*k**3 + 1821144*k**2 - 1837791*k + 615372 = 0. Calculate k.
-2699, -76, 1
What is d in -255*d**4/7 + 19134*d**3/7 - 675*d**2/7 = 0?
0, 3/85, 75
Suppose y**3 + 402*y**2 + 14936*y - 66240 = 0. Calculate y.
-360, -46, 4
Suppose -6*m**2/11 - 11304*m/11 + 22632/11 = 0. Calculate m.
-1886, 2
Factor 27648*c**4 + 832896*c**3 + 9030672*c**2 + 40779074*c + 61309878.
2*(c + 3)*(24*c + 217)**3
Factor 4*a**2 - 739124*a + 739120.
4*(a - 184780)*(a - 1)
Solve -19*l**2/2 + 1139*l/3 + 40/3 = 0 for l.
-2/57, 40
Solve -13*p**4/2 - 120*p**3 - 1031*p**2/2 - 720*p - 234 = 0.
-13, -3, -2, -6/13
Suppose 4*s**5 + 3996*s**4 + 1364456*s**3 + 169835616*s**2 + 3600256896*s - 7890835968 = 0. Calculate s.
-324, -29, 2
Factor -i**3/4 + 1367*i**2/4 - 2731*i/4 + 1365/4.
-(i - 1365)*(i - 1)**2/4
Determine u so that -u**3/4 - 132*u**2 - 525*u/4 + 527/2 = 0.
-527, -2, 1
Factor 4*g**2 + 251640*g - 1761676.
4*(g - 7)*(g + 62917)
What is j in -2*j**2 - 32955*j - 16477 = 0?
-16477, -1/2
Determine p, given that 369*p**2 - 115869*p + 942 = 0.
1/123, 314
Find i such that -3*i**2/5 + 2862*i/5 + 110001/5 = 0.
-37, 991
Factor -2*s**3 - 58*s**2 + 4832*s + 9880.
-2*(s - 38)*(s + 2)*(s + 65)
Determine k, given that -2*k**4/3 - 1132*k**3/3 - 138898*k**2/3 - 135512*k/3 + 91848 = 0.
-387, -178, -2, 1
Factor y**3/5 + 699*y**2/5 + 22119*y - 825995.
(y - 31)*(y + 365)**2/5
Let 4*p**4/7 - 9280*p**3/7 - 18572*p**2/7 - 9288*p/7 = 0. Calculate p.
-1, 0, 2322
Suppose 20*u**5 - 772*u**4 - 3072*u**3 + 231856*u**2 + 563584*u + 188160 = 0. Calculate u.
-15, -2, -2/5, 28
Factor 2*g**5 - 18*g**4 + 34*g**3 + 66*g**2 - 180*g.
2*g*(g - 5)*(g - 3)**2*(g + 2)
Solve -3*k**5/8 - 1065*k**4/8 - 92901*k**3/8 + 288369*k**2/8 = 0.
-179, 0, 3
Let 99*t**2/5 + 528951*t/5 - 32058/5 = 0. What is t?
-5343, 2/33
Let 5*w**3 + 160240*w**2 + 160225*w - 320470 = 0. What is w?
-32047, -2, 1
Suppose -t**2/7 + 1228*t/7 + 23693/7 = 0. Calculate t.
-19, 1247
Factor f**3 + 1236*f**2 + 6155*f.
f*(f + 5)*(f + 1231)
Factor 4*l**3 + 140*l**2 - 3332*l - 3468.
4*(l - 17)*(l + 1)*(l + 51)
Factor 3*z**2 + 57723*z + 346230.
3*(z + 6)*(z + 19235)
Let -4*z**3/7 + 2772*z**2 - 38796*z/7 + 19396/7 = 0. Calculate z.
1, 4849
Factor -2*r**2/5 - 5726*r/5 + 109516/5.
-2*(r - 19)*(r + 2882)/5
Factor -171*a**2 + 39674*a - 464.
-(a - 232)*(171*a - 2)
Determine f so that f**4 + 7395*f**3 + 13630731*f**2 - 150923171*f - 164546508 = 0.
-3703, -1, 12
Solve -2*w**4/17 - 5170*w**3/17 + 41490*w**2/17 + 5170*w/17 - 41488/17 = 0.
-2593, -1, 1, 8
Suppose -r**3 - 5755*r**2 + 57641*r - 51885 = 0. Calculate r.
-5765, 1, 9
Factor s**3 + 9739*s**2 - 29224*s + 19484.
(s - 2)*(s - 1)*(s + 9742)
Determine a so that a**4 + 1050*a**3 + 321924*a**2 + 9237752*a - 6211345248 = 0.
-386, 108
Solve 132*g**3 + 165932*g**2 + 175848*g + 10048 = 0.
-1256, -1, -2/33
What is a in -2*a**5/13 + 2784*a**4/13 - 22166*a**3/13 + 30432*a**2/13 + 22168*a/13 - 33216/13 = 0?
-1, 1, 2, 6, 1384
Solve 2*c**2/9 - 52576*c/3 + 345529472 = 0 for c.
39432
Solve 2*f**4 - 32*f**3 - 568*f**2 + 1248*f = 0 for f.
-12, 0, 2, 26
Let 2*t**3/15 + 3796*t**2/5 + 536