*3 - 270*f**2 - 12150*f - 182250 = 0.
-45
Suppose -9*m**2/8 - 105*m/8 + 9/2 = 0. Calculate m.
-12, 1/3
Solve -j**2 + 164*j - 163 = 0 for j.
1, 163
Determine n so that -n**2 + 206*n - 10609 = 0.
103
Solve -2*y**5/3 - 4*y**4 = 0 for y.
-6, 0
Factor 2*n**2/11 - 494*n/11 - 496/11.
2*(n - 248)*(n + 1)/11
Determine b, given that 2*b**5 - 26*b**4 + 90*b**3 + 26*b**2 - 332*b - 240 = 0.
-1, 4, 5, 6
Factor -5*w**2 - 190*w - 185.
-5*(w + 1)*(w + 37)
Suppose 4*c**5 - 10*c**4 - 8*c**3 + 38*c**2 - 32*c + 8 = 0. What is c?
-2, 1/2, 1, 2
Solve f**2 - 6852*f + 11737476 = 0 for f.
3426
Factor -5*k**3/6 - 5785*k**2/3 - 23125*k/6 - 5780/3.
-5*(k + 1)**2*(k + 2312)/6
Suppose -6*h**4 + 4*h**3 + 10*h**2 - 8*h = 0. What is h?
-4/3, 0, 1
Factor 3*u**4 + 99*u**3 + 1197*u**2 + 6321*u + 12348.
3*(u + 7)**3*(u + 12)
Find q, given that -q**4/7 - 8*q**3/7 - 3*q**2 - 18*q/7 = 0.
-3, -2, 0
Solve -4*n**3/3 + 100*n**2/3 - 508*n/3 - 204 = 0.
-1, 9, 17
Solve 5*n**3 - 1365*n**2 = 0 for n.
0, 273
Solve 4*q**4 + 408*q**3 + 14592*q**2 + 204800*q + 786432 = 0.
-32, -6
Factor 4*k**5 + 40*k**4 + 36*k**3.
4*k**3*(k + 1)*(k + 9)
Factor 2*b**2/17 - 10536*b/17.
2*b*(b - 5268)/17
Determine j so that -2*j**4 - 564*j**3 - 52440*j**2 - 1552300*j + 5144250 = 0.
-95, 3
Factor -r**2/2 + 216*r + 1305/2.
-(r - 435)*(r + 3)/2
Factor 9*o**2 + 10713*o + 3570.
3*(o + 1190)*(3*o + 1)
What is v in 304*v**5 - 856*v**4 + 867*v**3 - 388*v**2 + 79*v - 6 = 0?
1/4, 6/19, 1
Factor -76*c**3 + 1072*c**2 - 3836*c + 392.
-4*(c - 7)**2*(19*c - 2)
Factor 1250*j**4 - 2700*j**3 + 408*j**2 - 16*j.
2*j*(j - 2)*(25*j - 2)**2
What is k in -5*k**2 - 90*k - 360 = 0?
-12, -6
Determine y, given that y**2/5 + 4694*y/5 + 5508409/5 = 0.
-2347
What is z in -z**3/2 + 3*z**2/2 + 44*z - 90 = 0?
-9, 2, 10
Find i, given that -4*i**4/11 - 10*i**3/11 + 10*i/11 + 4/11 = 0.
-2, -1, -1/2, 1
Factor 2*v**2/5 - 268*v/5 + 8978/5.
2*(v - 67)**2/5
Determine z, given that 2*z**4/7 + 800*z**3/7 + 2382*z**2/7 - 8*z/7 - 3176/7 = 0.
-397, -2, 1
Factor -n**4/7 + 4*n**3/7 + 4*n**2/7 - 16*n/7.
-n*(n - 4)*(n - 2)*(n + 2)/7
Solve 31*f**5 + 60*f**4 - 97*f**3 - 242*f**2 - 108*f + 8 = 0.
-2, -1, 2/31, 2
Find w, given that -10*w**4/7 + 24*w**3/7 + 46*w**2/7 - 12*w = 0.
-2, 0, 7/5, 3
Factor -2*s**3 + 20*s**2 + 174*s + 288.
-2*(s - 16)*(s + 3)**2
Let 4*m**3 + 204*m**2 + 3420*m + 18772 = 0. Calculate m.
-19, -13
Factor 10*k**3 + 126*k**2 + 1632*k/5 - 2312/5.
2*(k - 1)*(5*k + 34)**2/5
Factor -3*g**5/2 + 3*g**4/2 + 3*g**3.
-3*g**3*(g - 2)*(g + 1)/2
Suppose -35*s**3 + 1024*s**2 - 259*s - 58 = 0. Calculate s.
-1/7, 2/5, 29
Let -z**3/6 - 29*z**2/6 - 55*z/6 - 9/2 = 0. Calculate z.
-27, -1
Suppose -4*k**2 - 448*k - 1308 = 0. What is k?
-109, -3
Factor x**3 - 658*x**2 + 107580*x + 217800.
(x - 330)**2*(x + 2)
Find h, given that h**4 - 13*h**3 + 26*h**2 + 40*h = 0.
-1, 0, 4, 10
Factor -3*x**4 - 2583*x**3 - 5157*x**2 - 2577*x.
-3*x*(x + 1)**2*(x + 859)
Factor -3*h**2/2 - 1881*h/2 - 939.
-3*(h + 1)*(h + 626)/2
Find y, given that -2*y**4 - 95*y**3/2 - 276*y**2 + 72*y = 0.
-12, 0, 1/4
Factor 1352*v**2 + 312*v + 18.
2*(26*v + 3)**2
Factor -91*k**4 + 272*k**3/3 + k**2/3.
-k**2*(k - 1)*(273*k + 1)/3
Factor 4*x**2 + 108*x + 200.
4*(x + 2)*(x + 25)
Let 98*w**4 + 336*w**3 - 1392*w**2 + 704*w - 96 = 0. Calculate w.
-6, 2/7, 2
Find u, given that u**2 + 122*u - 248 = 0.
-124, 2
Factor 5*f**2 + 9550*f + 4560125.
5*(f + 955)**2
Factor -v**3/3 - 7*v**2/3 + 2*v + 24.
-(v - 3)*(v + 4)*(v + 6)/3
Factor -5*a**2 - 140*a - 480.
-5*(a + 4)*(a + 24)
Factor 5*b**5 - 250*b**4 + 1530*b**3 + 6140*b**2 + 6665*b + 2310.
5*(b - 42)*(b - 11)*(b + 1)**3
Factor -4*x**3/5 - 3*x**2/5 + 4*x/5 + 3/5.
-(x - 1)*(x + 1)*(4*x + 3)/5
Factor -44*r**2 + 265*r/2 - 3/2.
-(r - 3)*(88*r - 1)/2
Factor -3*q**3 - 506*q**2/3 - 112*q/3.
-q*(q + 56)*(9*q + 2)/3
Suppose -2*t**3/5 - 96*t**2/5 = 0. What is t?
-48, 0
Determine t so that -4*t**2/3 - 2*t/3 + 14 = 0.
-7/2, 3
Determine f, given that -f**5/2 - 5*f**4/2 + 33*f**3/2 + 193*f**2/2 + 40*f - 150 = 0.
-5, -2, 1, 6
Factor -2*k**5 + 20*k**4 - 64*k**3 + 64*k**2.
-2*k**2*(k - 4)**2*(k - 2)
Find z such that z**4/3 - 23*z**3/3 + 98*z**2/3 - 148*z/3 + 24 = 0.
1, 2, 18
Suppose -5*k**2 - 1005*k + 4100 = 0. What is k?
-205, 4
Factor 3*q**3/2 + 9*q**2/2 - 222*q + 720.
3*(q - 8)*(q - 4)*(q + 15)/2
Factor -3*d**5 - 36*d**4 - 90*d**3 + 300*d**2 + 1125*d.
-3*d*(d - 3)*(d + 5)**3
Let k**3/3 - 67*k**2 + 4489*k - 300763/3 = 0. Calculate k.
67
Determine g, given that 2*g**2/3 - 4160*g/3 - 2776 = 0.
-2, 2082
Factor -3*p**5 + 11208*p**4 - 15702408*p**3 + 9777366048*p**2 - 2283014972208*p.
-3*p*(p - 934)**4
Suppose 4*g**2/3 + 3*g - 55/3 = 0. Calculate g.
-5, 11/4
Factor 2*x**4/7 + 18*x**3/7 + 50*x**2/7 + 54*x/7 + 20/7.
2*(x + 1)**2*(x + 2)*(x + 5)/7
Factor -16*a**3 + 212*a**2 + 1388*a - 360.
-4*(a - 18)*(a + 5)*(4*a - 1)
Let -11*h**4 + 35*h**3/3 - 2*h**2/3 = 0. What is h?
0, 2/33, 1
Suppose 6*n**2/5 + 70164*n/5 + 205124454/5 = 0. Calculate n.
-5847
Determine t, given that t**5/2 - 3*t**4 - 51*t**3/2 + 58*t**2 - 30*t = 0.
-6, 0, 1, 10
Solve -4*h**2 + 304*h - 5776 = 0.
38
Suppose 3*j**4 - 99*j**3 - 435*j**2 - 333*j = 0. What is j?
-3, -1, 0, 37
Factor 12*n**4 - 57*n**3 - 171*n**2 - 123*n - 21.
3*(n - 7)*(n + 1)**2*(4*n + 1)
Factor -w**4 - 1319*w**3 - 434280*w**2 + 435600*w.
-w*(w - 1)*(w + 660)**2
Factor -x**2/2 - 560*x.
-x*(x + 1120)/2
Solve 2*i**3 - 140*i**2 + 272*i = 0.
0, 2, 68
Factor d**3/4 - 121*d**2/4 + 175*d/2 + 118.
(d - 118)*(d - 4)*(d + 1)/4
Factor 5*r**4 + 115*r**3 - 245*r**2 + 125*r.
5*r*(r - 1)**2*(r + 25)
Factor 2*p**5 - 32*p**4 + 68*p**3 + 416*p**2 + 490*p + 176.
2*(p - 11)*(p - 8)*(p + 1)**3
Factor -4*t**3 + 9660*t**2 - 7776300*t + 2086640500.
-4*(t - 805)**3
Factor 2*q**2 - 4*q.
2*q*(q - 2)
Factor -2*n**2/5 + 48*n/5 - 126/5.
-2*(n - 21)*(n - 3)/5
Let 2*v**4/7 + 52*v**3/7 + 50*v**2/7 = 0. Calculate v.
-25, -1, 0
Factor 2*v**4 + 2*v**3 - 6*v**2 - 10*v - 4.
2*(v - 2)*(v + 1)**3
Factor -3*l**4 - 30*l**3 - 27*l**2.
-3*l**2*(l + 1)*(l + 9)
Factor -2*p**5 + 12*p**4 + 12*p**3 - 56*p**2 - 90*p - 36.
-2*(p - 6)*(p - 3)*(p + 1)**3
Suppose -d**2/3 - 752*d/3 = 0. Calculate d.
-752, 0
Factor v**2 - 40*v.
v*(v - 40)
Factor -3*a**4 + 24*a**3 - 66*a**2 + 72*a - 27.
-3*(a - 3)**2*(a - 1)**2
Solve i**2 + 372*i + 34596 = 0 for i.
-186
Factor f**4 - f**3 - 7*f**2 + 13*f - 6.
(f - 2)*(f - 1)**2*(f + 3)
Factor -25*f**4 - 1290*f**3 - 765*f**2.
-5*f**2*(f + 51)*(5*f + 3)
Solve 40*m**4 + 195*m**3 - 185*m**2 - 780*m + 100 = 0.
-5, -2, 1/8, 2
Suppose -2*c**5/11 - 4*c**4/11 = 0. What is c?
-2, 0
Determine h so that 2*h**4 + 204*h**3 + 4032*h**2 + 22464*h = 0.
-78, -12, 0
Let 2*j**4/3 - 32*j**3/3 + 10*j**2 = 0. Calculate j.
0, 1, 15
Factor -i**3/4 - 33*i**2/4 - 63*i/4 - 31/4.
-(i + 1)**2*(i + 31)/4
Suppose -h**5 - 9*h**4 - h**3 + 141*h**2 + 110*h - 600 = 0. Calculate h.
-5, -4, 2, 3
Determine t, given that -2*t**2/5 - 74*t/5 - 28 = 0.
-35, -2
Determine c so that -2*c**3/3 - 560*c**2 - 117600*c = 0.
-420, 0
Determine j, given that j**4/9 - 955*j**3/9 + 228481*j**2/9 - 25069*j - 50562 = 0.
-1, 2, 477
Factor -2*w**4/3 + 19*w**3 - 140*w**2 + 196*w/3.
-w*(w - 14)**2*(2*w - 1)/3
Factor 5*g**4 - 30*g**3 + 45*g**2.
5*g**2*(g - 3)**2
Factor -2*p**2/15 + 4*p/5 - 6/5.
-2*(p - 3)**2/15
Let -4*u**4 + 112*u**3 + 780*u**2 + 1208*u + 544 = 0. What is u?
-4, -1, 34
Find q such that 21*q**5 + 366*q**4 + 1476*q**3 - 1134*q**2 - 729*q = 0.
-9, -3/7, 0, 1
Suppose -o**2 + 11*o + 42 = 0. Calculate o.
-3, 14
Find p, given that 27*p**4 - 2049*p**3 + 40731*p**2 - 69375*p - 8214 = 0.
-1/9, 2, 37
Factor 3*t**2 - 1131*t - 4572.
3*(t - 381)*(t + 4)
Suppose x**3/3 + 34*x**2/3 + 84*x - 216 = 0. What is x?
-18, 2
What is g in 5*g**4 - 100*g**3 - 335*g**2 - 230*g = 0?
-2, -1, 0, 23
Determine z so that -3*z**5/2 + 57*z**4/2 - 243*z**3/2 + 87*z**2/2 + 195*z = 0.
-1, 0, 2, 5, 13
Suppose -3*l**4 + 48*l**3 - 180*l**2 - 192*l + 768 = 0. Calculate l.
-2, 2, 8
Determine d so that -12*d**5 + 21*d**3 + 3*d**2 - 9*d - 3 = 0.
-1, -1/2, 1
Let -2*k**3/15 + 2*k**2/15 + 52*k/15 + 16/5 = 0. What is k?
-4, -1, 6
Let 21*o**2 - 1980*o - 3456 = 0. Calculate o.
-12/7, 96
Determine t so that 2*t**2/7 - 22*t/7 = 0.
0, 11
Determine h, given that -2*h**2 + 62*h - 300 = 0.
6, 25
Factor -y**5/3 - 4*y**4/3 - 4*y**3/3 + 2*y**2/3 + 5*y/3 + 2/3.
-(y - 1)*(y + 1)**3*(y + 