+ 12*j**4/5 - 108*j**3/5 + 6*j**2/5 + 93*j/5 - 18/5 = 0. Calculate j.
-3, -1, 1/5, 1, 2
Factor -3*n**2 - 708*n + 711.
-3*(n - 1)*(n + 237)
Factor 68*g**2/13 - 2326*g/13 - 2394/13.
2*(g + 1)*(34*g - 1197)/13
Determine p so that 5*p**5 + 50*p**4 - 315*p**3 - 1700*p**2 - 1820*p = 0.
-13, -2, 0, 7
Factor -f**2 + 364906*f - 33289097209.
-(f - 182453)**2
Suppose 4*f**5 - 36*f**4 + 24*f**3 + 64*f**2 = 0. What is f?
-1, 0, 2, 8
Factor -2*q**3/7 + 3750*q**2/7 - 1759686*q/7 + 1755938/7.
-2*(q - 937)**2*(q - 1)/7
Factor -t**3/4 - 276077*t**2/4 - 4763691380*t - 4763622361.
-(t + 1)*(t + 138038)**2/4
Solve 16*d**3 + 113524*d**2 + 141884*d + 28376 = 0 for d.
-7094, -1, -1/4
Let y**5 - 108*y**4 - 558*y**3 - 788*y**2 - 339*y = 0. What is y?
-3, -1, 0, 113
Factor -v**4/5 + 58*v**3 + 1173*v**2/5 + 882*v/5.
-v*(v - 294)*(v + 1)*(v + 3)/5
Factor 22*y**3/9 + 20*y**2/3 - 26*y - 72.
2*(y + 3)**2*(11*y - 36)/9
Determine x, given that 3*x**5 - 22449*x**4 - 157272*x**3 - 134820*x**2 = 0.
-6, -1, 0, 7490
Find o, given that -4*o**2/5 - 6404*o/5 - 1280 = 0.
-1600, -1
Factor -2*i**2/11 + 78572*i/11.
-2*i*(i - 39286)/11
Factor -2*a**2/5 + 34728*a/5 + 312714/5.
-2*(a - 17373)*(a + 9)/5
Factor 16*w**2/15 + 41202*w/5 - 15452/3.
2*(w + 7726)*(8*w - 5)/15
Suppose 2*j**2/11 + 24892*j/11 + 77451458/11 = 0. Calculate j.
-6223
Solve 2*h**4/3 - 52*h**3/3 - 3538*h**2 - 208880*h/3 + 460600/3 = 0.
-35, 2, 94
Find a, given that -a**4 + 1846*a**3 + 11104*a**2 + 14816*a = 0.
-4, -2, 0, 1852
Determine f so that -2*f**3/9 - 52550*f**2 - 315298*f/3 - 472946/9 = 0.
-236473, -1
Factor -2862*h**2/5 - 5732*h/5 - 16/5.
-2*(h + 2)*(1431*h + 4)/5
Suppose m**3/2 + 202*m**2/3 + 2081*m/2 - 3325/3 = 0. What is m?
-350/3, -19, 1
Suppose -5*d**3 - 19070*d**2 + 114555*d - 171900 = 0. Calculate d.
-3820, 3
Factor 3*i**3/7 + 129*i**2/7 - 10212*i/7 + 1440.
3*(i - 40)*(i - 1)*(i + 84)/7
Factor 3*r**2/2 + 26235*r + 229425075/2.
3*(r + 8745)**2/2
Find p such that -p**2 - 1662*p - 29592 = 0.
-1644, -18
Factor -20*f**3/3 + 1964*f**2 - 9376*f/3.
-4*f*(f - 293)*(5*f - 8)/3
Factor 5*b**2 - 1345*b + 38940.
5*(b - 236)*(b - 33)
Factor -3*a**2 - 1260480*a - 132400819200.
-3*(a + 210080)**2
Factor 3*h**4 + 2547*h**3 + 549423*h**2 + 3737217*h + 3190338.
3*(h + 1)*(h + 6)*(h + 421)**2
Factor -4*h**3 - 648*h**2 - 1140*h + 22400.
-4*(h - 5)*(h + 7)*(h + 160)
What is p in -p**5/2 - 42*p**4 - 1277*p**3/2 + 127*p**2 + 2004*p + 1280 = 0?
-64, -20, -1, 2
Find p such that 24*p**4 + 4923*p**3 + 549*p**2 - 13575*p - 9225 = 0.
-205, -1, 15/8
Determine g, given that 2*g**4 - 33288*g**3 + 138511366*g**2 + 33288*g - 138511368 = 0.
-1, 1, 8322
What is m in -3*m**2 - 87*m - 234 = 0?
-26, -3
Factor -h**4/2 - 1645*h**3 - 1805112*h**2 - 661870016*h - 1316532736.
-(h + 2)*(h + 1096)**3/2
What is y in y**4 - 15*y**3 - 83*y**2 + 123*y + 190 = 0?
-5, -1, 2, 19
Factor i**2/3 + 1369*i/3 + 4080.
(i + 9)*(i + 1360)/3
Find a, given that 4*a**3/7 + 1200*a**2/7 - 3676*a/7 - 12120/7 = 0.
-303, -2, 5
Factor -4*m**4 - 8*m**3 + 20*m**2 + 24*m.
-4*m*(m - 2)*(m + 1)*(m + 3)
Factor p**2 + 1274*p - 21947.
(p - 17)*(p + 1291)
Determine j so that 21*j**4/2 + 346*j**3 - 10617*j**2/2 + 17262*j - 810 = 0.
-45, 1/21, 6
Suppose -5*x**4 - 10*x**3 + 3120*x**2 = 0. What is x?
-26, 0, 24
Factor 5*m**4 + 34330*m**3.
5*m**3*(m + 6866)
Find o such that -2*o**2/13 + 71114*o/13 - 71112/13 = 0.
1, 35556
Find s such that 164*s**2 + 1309*s/4 - 3/2 = 0.
-2, 3/656
Suppose 4*c**5 - 11388*c**4 + 8122428*c**3 - 24162516*c**2 - 73102176*c + 218385072 = 0. What is c?
-3, 3, 1422
Factor h**3/12 + 2432*h**2/3 + 29177*h/12 + 9725/6.
(h + 1)*(h + 2)*(h + 9725)/12
Let 28*v**4 - 20152*v**3 + 54468*v**2 + 17208*v = 0. What is v?
-2/7, 0, 3, 717
Find w, given that 5*w**2 - 3230*w + 151725 = 0.
51, 595
Factor v**2/3 - 123*v + 368/3.
(v - 368)*(v - 1)/3
Suppose 8*q**3 + 730*q**2/3 - 402*q + 320/3 = 0. What is q?
-32, 1/3, 5/4
Find n such that -11*n**5/7 - 81*n**4/7 - 116*n**3/7 + 276*n**2/7 + 640*n/7 + 192/7 = 0.
-4, -3, -2, -4/11, 2
Solve -p**2/10 + 78310*p = 0.
0, 783100
Solve 22*y**2 - 950*y - 1800 = 0 for y.
-20/11, 45
Let -2*o**5 - 158*o**4 - 136*o**3 + 1544*o**2 - 1248*o = 0. What is o?
-78, -4, 0, 1, 2
Let -30*i**4 + 102545*i**3 - 119540*i**2 - 187945*i + 34170 = 0. Calculate i.
-1, 1/6, 2, 3417
Factor 4*v**5 + 25976*v**4 + 103856*v**3 + 103840*v**2.
4*v**2*(v + 2)**2*(v + 6490)
Factor -20*a**2 - 772*a + 9024.
-4*(a + 48)*(5*a - 47)
Factor 2*c**2/13 - 2817848*c/13 + 992533418888/13.
2*(c - 704462)**2/13
Determine u, given that 36992*u**3/9 - 81056*u**2/3 + 14482*u - 2028 = 0.
39/136, 6
Solve -2*u**5/7 + 130*u**4/7 - 726*u**3/7 + 1070*u**2/7 - 472*u/7 = 0.
0, 1, 4, 59
Factor 6644*c**2 + 2000*c + 144.
4*(11*c + 2)*(151*c + 18)
Factor -2*v**2/7 - 172*v/7 + 3264/7.
-2*(v - 16)*(v + 102)/7
Find o, given that 5*o**4 + 51845*o**3 - 363105*o**2 + 570655*o - 259400 = 0.
-10376, 1, 5
Let -2*q**3/13 + 2432*q**2/13 - 171754*q/13 + 3126796/13 = 0. Calculate q.
37, 1142
Let 3*g**2 - 41433*g + 41430 = 0. Calculate g.
1, 13810
Determine n, given that 3*n**2 - 9534*n - 662184 = 0.
-68, 3246
Factor 2*x**2/9 - 48748*x/3 + 146242/9.
2*(x - 73121)*(x - 1)/9
Factor -2*x**2/7 + 4706*x/7 + 9420/7.
-2*(x - 2355)*(x + 2)/7
Find a, given that -13454*a**5/9 + 19034*a**4/9 - 2044*a**3/3 + 568*a**2/9 - 16*a/9 = 0.
0, 2/31, 2/7, 1
Suppose -3*z**3 - 12*z**2 + 34335*z = 0. What is z?
-109, 0, 105
Determine n so that -4*n**4/11 - 3198*n**3/11 + 27392*n**2/11 - 64608*n/11 + 25856/11 = 0.
-808, 1/2, 4
Factor -m**2 + 1338*m + 4023.
-(m - 1341)*(m + 3)
Let 2187*a**4 + 100007865*a**3 - 66672558*a**2 + 14816172*a - 1097496 = 0. Calculate a.
-45729, 2/9
Find j, given that -2*j**4 + 242*j**3 + 20406*j**2 + 329158*j - 349804 = 0.
-31, 1, 182
Determine u so that 3805*u**4/2 + 13693*u**3/4 + 4557*u**2/4 - 1525*u/4 + 1/4 = 0.
-1, 1/1522, 1/5
Suppose p**4/5 - p**3/5 - 28*p**2/5 + 76*p/5 - 48/5 = 0. What is p?
-6, 1, 2, 4
Find l such that 2*l**5 + 712*l**4 - 16678*l**3 - 17388*l**2 = 0.
-378, -1, 0, 23
Let -a**4/3 + 2936*a**3/3 + 39680*a**2 = 0. Calculate a.
-40, 0, 2976
Factor 4*j**5 + 8648*j**4 + 8644*j**3.
4*j**3*(j + 1)*(j + 2161)
Solve 2*g**4/19 + 66*g**3/19 + 372*g**2/19 + 184*g/19 - 624/19 = 0 for g.
-26, -6, -2, 1
Determine i so that 5*i**4/4 + 835*i**3/2 + 33120*i**2 - 592515*i/2 - 1315845/4 = 0.
-171, -1, 9
Suppose 5*z**4 + 1245*z**3 + 60545*z**2 + 858255*z + 798950 = 0. Calculate z.
-190, -29, -1
Solve -z**4/2 + 20181*z**3/2 + 60555*z**2 + 121118*z + 80748 = 0 for z.
-2, 20187
Let z**5 + 448*z**4 - 908*z**3 - 3600*z**2 = 0. What is z?
-450, -2, 0, 4
Suppose t**5 + 215*t**4 - 4147*t**3 + 10921*t**2 - 6990*t = 0. Calculate t.
-233, 0, 1, 2, 15
Factor -4*s**4 - 47264*s**3.
-4*s**3*(s + 11816)
Determine g so that 2*g**2/5 + 1202*g/5 + 164936/5 = 0.
-389, -212
Factor 4*p**5 + 744*p**4 + 30676*p**3 - 364560*p**2 + 960400*p.
4*p*(p - 5)**2*(p + 98)**2
Factor -5*n**3 - 885*n**2 - 3475*n - 2595.
-5*(n + 1)*(n + 3)*(n + 173)
Determine x, given that 4*x**4 + 14800*x**3 + 44376*x**2 + 44368*x + 14788 = 0.
-3697, -1
Determine f so that -1250*f**4/17 - 353650*f**3/17 - 674202*f**2/17 + 55634*f/17 - 1124/17 = 0.
-281, -2, 1/25
Let -5*q**2 + 2600*q + 346500 = 0. What is q?
-110, 630
Solve 9*w**4 - 10640*w**3 + 55365*w**2 - 54150*w + 9416 = 0 for w.
2/9, 1, 4, 1177
What is c in -2*c**2 - 1424*c + 274920 = 0?
-870, 158
Suppose -2*h**5/5 - 516*h**4/5 + 13404*h**3/5 - 37096*h**2/5 + 36054*h/5 - 11844/5 = 0. What is h?
-282, 1, 21
Factor 2*m**3/5 + 23474*m**2/5 - 46954*m/5 + 23478/5.
2*(m - 1)**2*(m + 11739)/5
Determine z, given that -10*z**4 - 25275*z**3 - 15888210*z**2 + 104267765*z - 48158670 = 0.
-1267, 1/2, 6
Let 4*t**4/7 + 54220*t**3/7 + 183765124*t**2/7 + 183602484*t/7 - 367421832/7 = 0. Calculate t.
-6777, -2, 1
Factor g**4/4 - 15907*g**3/4 + 15903*g**2.
g**2*(g - 15903)*(g - 4)/4
Suppose 3*z**5/5 + 201*z**4/5 + 1434*z**3/5 + 942*z**2/5 - 1401*z + 885 = 0. What is z?
-59, -5, 1
Solve 55*q**2/4 - 91*q/2 + 51/4 = 0.
17/55, 3
Find p such that -2*p**2/3 - 406*p/3 - 13760/3 = 0.
-160, -43
Factor 3888*r**4 + 76680*r**3 - 221325*r**2 - 5910750*r + 23101875.
3*(r + 15)**2*(36*r - 185)**2
Factor 3*h**2 + 18240*h + 218448.
3*(h + 12)*(h + 6068)
Factor f**4/5 + 129*f**3/5 + 4224*f**2/5 + 4096*f/5.
f*(f + 1)*(f + 64)**2/5
Factor g**4 + 235*g**3