tor -18*m**2/17 + 6862*m/17 - 1524/17.
-2*(m - 381)*(9*m - 2)/17
Factor o**4/7 + 86*o**3 + 83089*o**2/7 - 323016*o + 14107536/7.
(o - 12)**2*(o + 313)**2/7
Factor -5*i**3 + 2325*i**2 + 9365*i + 7035.
-5*(i - 469)*(i + 1)*(i + 3)
Determine j so that 3*j**2/8 + 1137*j/4 - 139365/8 = 0.
-815, 57
Let -u**5 - 38*u**4 + 259*u**3 - 220*u**2 = 0. What is u?
-44, 0, 1, 5
Factor 2*i**2/23 - 206*i/23 + 1860/23.
2*(i - 93)*(i - 10)/23
Find t such that 3*t**3 - 4158*t**2 + 41355*t - 103200 = 0.
5, 1376
Find r such that r**5/3 + 23*r**4 + 898*r**3/3 - 3684*r**2 - 11096*r/3 + 57760 = 0.
-38, -4, 5, 6
Suppose -a**4/2 + 203*a**3/2 - 2564*a**2 + 20238*a - 50400 = 0. Calculate a.
6, 16, 175
Factor j**3 + 15678*j**2.
j**2*(j + 15678)
Factor 2*j**2/19 + 26800*j/19 + 89780000/19.
2*(j + 6700)**2/19
Factor -2*c**2/3 + 480*c - 88672/3.
-2*(c - 652)*(c - 68)/3
Factor -65*l**2 + 730*l - 1680.
-5*(l - 8)*(13*l - 42)
Factor -4*d**3 + 816*d**2 + 3456*d - 26624.
-4*(d - 208)*(d - 4)*(d + 8)
Factor x**3/2 + 243*x**2/2 + 1615*x + 2748.
(x + 2)*(x + 12)*(x + 229)/2
Factor -5*v**2 - 16155*v + 145800.
-5*(v - 9)*(v + 3240)
Solve 8*m**2/5 - 2914*m - 187068/5 = 0.
-51/4, 1834
Solve 3*f**3 + 8553*f**2 - 34248*f + 34260 = 0.
-2855, 2
Find f, given that -3*f**4/5 - 177711*f**3/5 + 710877*f**2/5 - 888609*f/5 + 355446/5 = 0.
-59241, 1, 2
Factor p**3 - 185*p**2 + 712*p + 2172.
(p - 181)*(p - 6)*(p + 2)
Factor -2*k**4/9 - 176*k**3/9 - 1612*k**2/3 - 30752*k/9 + 297910/9.
-2*(k - 5)*(k + 31)**3/9
Factor y**2/7 - 60*y/7 + 53.
(y - 53)*(y - 7)/7
Find a such that -a**4 + 3*a**3 - 2*a**2 = 0.
0, 1, 2
Determine g, given that -4*g**4 + 224*g**3 - 1992*g**2 - 45632*g + 349804 = 0.
-13, 7, 31
Factor 2*d**5/7 + 1364*d**4/7 + 2722*d**3/7 + 1360*d**2/7.
2*d**2*(d + 1)**2*(d + 680)/7
Solve 2*w**3/7 - 230*w**2/7 + 2084*w/7 + 21216/7 = 0.
-6, 17, 104
Suppose 15*r**4 + 170*r**3 + 520*r**2 + 470*r + 105 = 0. Calculate r.
-7, -3, -1, -1/3
Determine x so that 5*x**4 + 75*x**3 - 1435*x**2 - 15555*x + 101150 = 0.
-17, 5, 14
Solve -b**5 + 336*b**4 - 26075*b**3 - 26412*b**2 = 0 for b.
-1, 0, 124, 213
Suppose -3*o**5 - 915*o**4 - 16626*o**3 - 93048*o**2 - 109056*o + 219648 = 0. Calculate o.
-286, -8, -4, 1
Factor 125*g**2 + 78685*g + 37740.
5*(g + 629)*(25*g + 12)
Solve 256*y**5 + 64*y**4 - 848*y**3 + 220*y**2 + 268*y + 40 = 0 for y.
-2, -1/4, 1, 5/4
What is d in 3*d**4 - 6*d**3 - 315*d**2 - 1362*d - 1560 = 0?
-5, -4, -2, 13
Find f, given that 2*f**2 + 776*f + 24710 = 0.
-353, -35
Find t such that -2*t**3/9 - 524*t**2/9 - 1042*t/9 - 520/9 = 0.
-260, -1
Factor 2*o**2/13 + 284*o/13 + 6882/13.
2*(o + 31)*(o + 111)/13
Solve 3*b**4 - 4428*b**3 + 4419*b**2 + 8850*b = 0 for b.
-1, 0, 2, 1475
Factor -4*v**3/9 + 156572*v**2/9 - 1565420*v/9 + 3913300/9.
-4*(v - 39133)*(v - 5)**2/9
Factor 54*j**2 + 209*j/2 - 425.
(j - 2)*(108*j + 425)/2
Factor -f**3 - 121*f**2 - 1028*f - 2240.
-(f + 4)*(f + 5)*(f + 112)
Factor 4*j**2/9 + 160736*j/9 + 160732/9.
4*(j + 1)*(j + 40183)/9
Solve 4*c**2 - 324*c - 1720 = 0.
-5, 86
Determine a so that 2*a**2/5 - 7342*a/5 - 88392/5 = 0.
-12, 3683
Suppose -10004569*r**2/3 + 177128*r/3 - 784/3 = 0. Calculate r.
28/3163
Let -3*m**4 + 58134*m**3 + 174420*m**2 + 174426*m + 58143 = 0. Calculate m.
-1, 19381
Factor n**3/8 + 9461*n**2/8 + 56735*n/8 + 47275/8.
(n + 1)*(n + 5)*(n + 9455)/8
Solve -4*q**4/5 + 9276*q**3/5 - 5354472*q**2/5 - 27060656*q/5 + 32405856/5 = 0 for q.
-6, 1, 1162
Find l, given that -2*l**4/3 + 53180*l**3 - 3181785986*l**2/3 + 2121031120*l - 3181466912/3 = 0.
1, 39884
Let 3*h**5 - 42*h**4 - 765*h**3 + 8424*h**2 - 1620*h - 97200 = 0. Calculate h.
-15, -3, 6, 20
Determine n so that 2*n**2/15 + 2087252*n/15 + 544577613938/15 = 0.
-521813
Find u, given that -u**3/3 - 271*u**2/3 - 7945*u - 224175 = 0.
-105, -61
Let 2*k**4 + 3344*k**3 + 102190*k**2 + 734656*k - 840192 = 0. Calculate k.
-1641, -16, 1
What is x in -6*x**5/5 + 13134*x**4/5 + 65808*x**3/5 + 26376*x**2/5 - 105312*x/5 = 0?
-4, -2, 0, 1, 2194
Determine p, given that -3*p**4/5 - 1746*p**3/5 + 1053*p**2 = 0.
-585, 0, 3
Factor c**3/2 - 183*c**2/2 + 347*c/2 + 2715/2.
(c - 181)*(c - 5)*(c + 3)/2
Factor -3*z**3/5 - 219*z**2/5 + 3582*z/5 - 6264/5.
-3*(z - 12)*(z - 2)*(z + 87)/5
Let 2*c**2/3 - 1784*c/3 - 1786/3 = 0. What is c?
-1, 893
Factor -2*l**4/7 - 1930*l**3/7 - 60224*l**2/7 - 477696*l/7.
-2*l*(l + 16)**2*(l + 933)/7
Suppose 5*z**5/4 + 27*z**4/4 - 805*z**3/4 + 2949*z**2/4 - 565*z - 357 = 0. What is z?
-17, -2/5, 2, 3, 7
Factor -2*z**2/7 + 106572*z/7 + 213152/7.
-2*(z - 53288)*(z + 2)/7
Let 2770*j**2/9 + 5908*j/9 + 736/9 = 0. What is j?
-2, -184/1385
Factor -20*x**3 + 684325*x**2 - 855375*x.
-5*x*(x - 34215)*(4*x - 5)
Determine o, given that -5*o**5 - 1745*o**4 - 63720*o**3 - 179020*o**2 - 117040*o = 0.
-308, -38, -2, -1, 0
Factor 4*t**3 - 29572*t**2 - 118372*t + 147940.
4*(t - 7397)*(t - 1)*(t + 5)
Determine p so that -p**2/12 - 1537*p/2 - 9219/4 = 0.
-9219, -3
Find b, given that -178*b**4/17 + 176*b**3/17 + 3562*b**2/17 + 40*b/17 = 0.
-4, -1/89, 0, 5
Determine c, given that c**2 - 102486*c + 204968 = 0.
2, 102484
Solve -3*o**3 + 10896*o**2 + 21801*o + 10902 = 0.
-1, 3634
Factor -i**2/4 - 435*i/4 - 1075/2.
-(i + 5)*(i + 430)/4
Factor 4*o**3 + 1012*o**2 + 16920*o.
4*o*(o + 18)*(o + 235)
Let -2*j**4 + 57796*j**3 - 346728*j**2 + 693424*j - 462272 = 0. What is j?
2, 28892
Let 36*j**5 + 21888*j**4 - 22096*j**3 - 104872*j**2 - 75540*j - 14616 = 0. Calculate j.
-609, -1, -2/3, -1/3, 3
Factor -p**3 - 896*p**2 - 35948*p - 68320.
-(p + 2)*(p + 40)*(p + 854)
Factor -q**3/4 - 2849*q**2/4 + 2861*q + 22824.
-(q - 8)*(q + 4)*(q + 2853)/4
Suppose 42*x**5 + 824*x**4 + 2584*x**3 - 15456*x**2 - 40448*x - 10240 = 0. Calculate x.
-40/3, -8, -2, -2/7, 4
Suppose -256*z**3 - 19680*z**2 - 17073*z - 3724 = 0. What is z?
-76, -7/16
Factor -3067350*g**3 - 996894470*g**2 - 5577008*g/3 - 2600/3.
-2*(g + 325)*(2145*g + 2)**2/3
Factor -2*h**3/11 - 324*h**2/11 - 1350*h - 135000/11.
-2*(h + 12)*(h + 75)**2/11
Find q, given that 3*q**5 - 126435*q**4 - 758706*q**3 - 505884*q**2 + 3034776*q + 4046496 = 0.
-4, -2, 2, 42151
Find g such that 386*g**5 + 15404*g**4/15 + 13414*g**3/15 + 3776*g**2/15 - 8*g/5 = 0.
-1, -2/3, 0, 6/965
Factor 4*f**2 - 1072*f + 67980.
4*(f - 165)*(f - 103)
What is o in o**4 - 97*o**3 - 100*o**2 + 196*o = 0?
-2, 0, 1, 98
Determine k, given that -2*k**4/3 + 242*k**3/3 - 2476*k**2 + 6720*k = 0.
0, 3, 48, 70
Solve -2*w**4 - 76*w**3 - 42*w**2 + 1144*w - 1480 = 0.
-37, -5, 2
Factor -c**3/4 + 116*c**2 + 4279*c/4 - 5203/2.
-(c - 473)*(c - 2)*(c + 11)/4
Factor 2*u**3/5 - 68*u**2/5 + 54*u/5 + 396/5.
2*(u - 33)*(u - 3)*(u + 2)/5
Factor s**2/7 + 73760*s/7 + 1360134400/7.
(s + 36880)**2/7
Find m, given that -12*m**4 - 45928*m**3 + 306844*m**2 + 475448*m + 122688 = 0.
-3834, -1, -1/3, 8
Factor r**4/8 + 47657*r**3/4 + 2271189649*r**2/8.
r**2*(r + 47657)**2/8
Find x such that -2*x**5 + 3990*x**4 + 8034*x**3 - 91814*x**2 - 96144*x + 575136 = 0.
-4, 3, 1997
Let -2*f**4/7 + 6*f**3/7 + 4*f**2/7 - 24*f/7 + 16/7 = 0. Calculate f.
-2, 1, 2
Solve -4*q**4/7 - 237*q**3/7 - 1115*q**2/7 + 1032*q/7 + 324/7 = 0.
-54, -6, -1/4, 1
Factor -z**3/6 + 7*z**2/6 + 517*z/6 + 3509/6.
-(z - 29)*(z + 11)**2/6
Factor -5*q**3 + 2475*q**2 + 651705*q - 654175.
-5*(q - 685)*(q - 1)*(q + 191)
Factor 2*v**2/3 + 590*v - 8900/3.
2*(v - 5)*(v + 890)/3
Suppose -3*t**5/2 - 285*t**4/2 + 1701*t**3 - 5046*t**2 + 4452*t = 0. Calculate t.
-106, 0, 2, 7
Find y, given that -y**2/4 + 7587*y/4 - 37885/2 = 0.
10, 7577
Factor -5*z**2 + 4675*z + 251430.
-5*(z - 986)*(z + 51)
Factor 2*c**4/3 - 116*c**3/3 + 112*c**2 - 332*c/3 + 110/3.
2*(c - 55)*(c - 1)**3/3
Factor g**2 - 20287*g.
g*(g - 20287)
Factor -i**4/4 - 93*i**3/4 - 431*i**2 - 408*i.
-i*(i + 1)*(i + 24)*(i + 68)/4
Determine y, given that -2*y**4 - 44*y**3 + 1706*y**2 - 4444*y - 6192 = 0.
-43, -1, 4, 18
Factor 2*g**2/9 - 1252*g/3 + 14992/9.
2*(g - 1874)*(g - 4)/9
Determine z so that -168*z**2 + 162374*z - 13530 = 0.
1/12, 6765/7
Factor -3*k**5 + 102*k**4 - 195*k**3 + 96*k**2.
-3*k**2*(k - 32)*(k - 1)**2
Factor 2*m**2/3 - 1076740*m/3 + 144921128450/3.
2*(m - 269185)**2/3
Factor -69*n**3 - 1337*n**2 + 2404*n + 1092.
-(n - 2)*(n + 21)*(69*n + 26)
Find z such that 34225*z**3/2 + 55315*z**2/2 + 24339*z/2 + 3249/2 = 0.
-1, -57/185
Let -4*k**2 - 3560*k + 46956 = 