 144*a = 0.
-4, -3, 0
Determine m, given that m**3/2 + 165*m**2/2 + 3276*m - 10584 = 0.
-84, 3
Find f, given that -25*f**5 + 445*f**4 - 1719*f**3 + 2143*f**2 - 1000*f + 156 = 0.
2/5, 1, 3, 13
Solve 5*o**3 + 245*o**2 + 2295*o - 18225 = 0.
-27, 5
Determine w, given that 3*w**2 - 123*w - 126 = 0.
-1, 42
Factor 3*k**2 - 5670*k + 2679075.
3*(k - 945)**2
Determine z so that -5*z**2/3 + 1790*z/3 - 160205/3 = 0.
179
Solve 2*a**4 - 4224*a**3 + 2230270*a**2 + 4224*a - 2230272 = 0 for a.
-1, 1, 1056
Determine m, given that -235*m**3 - 460*m**2 + 725*m - 30 = 0.
-3, 2/47, 1
Solve 16*o**5 - 4204*o**4 + 281860*o**3 - 748792*o**2 + 335920*o + 135200 = 0 for o.
-1/4, 1, 2, 130
Factor -6*n**3 + 669*n**2 - 18480*n - 9408.
-3*(n - 56)**2*(2*n + 1)
Factor 2*f**2 - 308*f.
2*f*(f - 154)
Solve -4*c**5 + 100*c**4 - 624*c**3 - 1280*c**2 + 12800*c + 24000 = 0 for c.
-3, -2, 10
Factor -l**5 + 120*l**4 - 336*l**3 - 1738*l**2 - 1983*l - 702.
-(l - 117)*(l - 6)*(l + 1)**3
Find z such that 2*z**5/9 + 872*z**4/9 = 0.
-436, 0
Find z such that 2*z**5/9 + 70*z**4/9 + 190*z**3/3 - 70*z**2/9 - 572*z/9 = 0.
-22, -13, -1, 0, 1
Factor -y**3 - 283*y**2 - 19591*y + 61347.
-(y - 3)*(y + 143)**2
Determine s so that 16*s**2 + 1340*s + 334 = 0.
-167/2, -1/4
Factor 4*b**3 - 16*b**2 - 16*b + 64.
4*(b - 4)*(b - 2)*(b + 2)
Determine z so that -5*z**2 + 5995*z = 0.
0, 1199
Factor -f**3 - 74*f**2 - 145*f - 72.
-(f + 1)**2*(f + 72)
Find p, given that 5*p**4 + 1435*p**3 + 135315*p**2 + 3998825*p - 18253460 = 0.
-97, 4
Factor 72*s**3 - 1980*s**2 + 964*s + 216.
4*(s - 27)*(3*s - 2)*(6*s + 1)
Determine g so that -2*g**4/5 + 16*g**3/5 - 44*g**2/5 + 48*g/5 - 18/5 = 0.
1, 3
Factor -363*u**4 - 2310*u**3 - 5259*u**2 - 5040*u - 1728.
-3*(u + 1)**2*(11*u + 24)**2
Factor -4*m**3 - 540*m**2 + 1656*m.
-4*m*(m - 3)*(m + 138)
Find i, given that -4*i**5 - 16*i**4 - 16*i**3 + 8*i**2 + 20*i + 8 = 0.
-2, -1, 1
Factor -2*q**2/11 + 6740*q/11 - 5678450/11.
-2*(q - 1685)**2/11
Find c, given that 5*c**3 + 205*c**2 + 1995*c - 2205 = 0.
-21, 1
Factor -d**4 + 3*d**2 - 2*d.
-d*(d - 1)**2*(d + 2)
Find r, given that 5*r**3 - 40*r**2 - 45*r = 0.
-1, 0, 9
Let -4*o**3/9 + 12044*o**2/9 - 3020032*o/3 - 1008016 = 0. Calculate o.
-1, 1506
Factor -t**2/6 - 4*t/3 - 7/6.
-(t + 1)*(t + 7)/6
Determine k, given that -4*k**2 + 248*k - 3808 = 0.
28, 34
Factor j**3/4 + 136*j**2 + 543*j/4.
j*(j + 1)*(j + 543)/4
Factor -3*z**4/8 + 13*z**3/8 - z**2/2.
-z**2*(z - 4)*(3*z - 1)/8
Determine k so that -2*k**4/21 - 16*k**3/7 + 106*k**2/21 + 16*k/7 - 104/21 = 0.
-26, -1, 1, 2
Factor c**2/3 - 47*c/3 - 50.
(c - 50)*(c + 3)/3
Factor 23193856*n**3/9 + 1926400*n**2/3 - 1604*n/3 + 1/9.
(4*n + 1)*(2408*n - 1)**2/9
Suppose 5*r**4 + 50*r**3 + 120*r**2 + 110*r + 35 = 0. What is r?
-7, -1
Determine g so that 2*g**4 + 146*g**3 - 302*g**2 - 146*g + 300 = 0.
-75, -1, 1, 2
Factor -h**2 + 1944*h - 944784.
-(h - 972)**2
Suppose 4*i**5/5 - 12*i**4 - 64*i**3/5 = 0. Calculate i.
-1, 0, 16
Factor -2*l**4 - 2*l**3 + 24*l**2 - 8*l - 32.
-2*(l - 2)**2*(l + 1)*(l + 4)
Factor -4*g**3 + 16*g**2 + 48*g.
-4*g*(g - 6)*(g + 2)
Determine t, given that 82*t**3 + 78*t**2 - 168*t + 8 = 0.
-2, 2/41, 1
Factor m**3/8 - 3*m**2/8 - 2*m - 3/2.
(m - 6)*(m + 1)*(m + 2)/8
Solve -3*n**4/4 + 11*n**3/4 + 4*n**2 - 11*n - 4 = 0 for n.
-2, -1/3, 2, 4
Factor -4*i**2 - 8344*i - 4351396.
-4*(i + 1043)**2
Solve -5*z**2 + 5*z + 30 = 0 for z.
-2, 3
Factor 2*p**2/15 + 134*p/3.
2*p*(p + 335)/15
Determine n, given that 3*n**3/5 - 3*n**2 - 96*n/5 - 108/5 = 0.
-2, 9
Solve -4*t**4 + 76*t**3 - 204*t**2 + 196*t - 64 = 0.
1, 16
Find j, given that j**5 - 5*j**4 - 39*j**3 + 13*j**2 + 118*j + 72 = 0.
-4, -1, 2, 9
Suppose -5*y**2 - 17730*y - 15717645 = 0. Calculate y.
-1773
Determine j so that -j**3 - 15*j**2 + 72*j - 76 = 0.
-19, 2
Factor -5*u**3 - 405*u**2 - 8400*u - 8000.
-5*(u + 1)*(u + 40)**2
Factor 2*y**5 - 24*y**4 + 60*y**3 - 56*y**2 + 18*y.
2*y*(y - 9)*(y - 1)**3
Determine b, given that 3*b**2 - 144*b - 300 = 0.
-2, 50
Find u such that -12*u**4/5 - 52*u**3/5 + 376*u**2/5 + 32*u - 256/5 = 0.
-8, -1, 2/3, 4
Determine k, given that k**3 + 13*k**2 + 23*k + 11 = 0.
-11, -1
Let 5*t**2 - 190*t + 185 = 0. Calculate t.
1, 37
Suppose 4*a**3/3 + 244*a**2/3 + 1540*a + 9300 = 0. What is a?
-31, -15
Factor 2*y**2/3 - 266*y/3 + 524/3.
2*(y - 131)*(y - 2)/3
Factor 5*h**3 - 925*h**2 - 930*h.
5*h*(h - 186)*(h + 1)
Factor 4590507*f**2 + 7422*f + 3.
3*(1237*f + 1)**2
What is f in f**5 + 10*f**4 + 22*f**3 + 4*f**2 - 23*f - 14 = 0?
-7, -2, -1, 1
Factor 3*i**3/5 - 78*i**2/5 - 3*i/5 + 78/5.
3*(i - 26)*(i - 1)*(i + 1)/5
Factor -2*p**4/9 + 14*p**3 - 198*p**2 - 726*p.
-2*p*(p - 33)**2*(p + 3)/9
Solve 3*t**5/4 + 147*t**4/4 + 1161*t**3/4 + 3321*t**2/4 + 810*t = 0.
-40, -3, 0
Factor -q**3/2 + 2*q**2 + 9*q/2 - 18.
-(q - 4)*(q - 3)*(q + 3)/2
Factor 4*s**4/9 + 44*s**3/9 + 140*s**2/9 + 100*s/9.
4*s*(s + 1)*(s + 5)**2/9
Suppose -4*i**5 + 28*i**4 - 56*i**3 + 32*i**2 = 0. Calculate i.
0, 1, 2, 4
Factor 3*t**3/5 + 1959*t**2/5 + 3909*t/5 + 1953/5.
3*(t + 1)**2*(t + 651)/5
Suppose b**2/2 - 3*b/2 + 1 = 0. What is b?
1, 2
Factor -2*s**4 + 8*s**3 + 10*s**2 - 72*s + 72.
-2*(s - 3)*(s - 2)**2*(s + 3)
Factor -o**3/9 + 5*o**2/9 - 8*o/9 + 4/9.
-(o - 2)**2*(o - 1)/9
Determine j, given that 14*j**5/11 - 256*j**4/11 + 534*j**3/11 - 356*j**2/11 + 64*j/11 = 0.
0, 2/7, 1, 16
Solve 25*l**5 - 1080*l**4 - 6910*l**3 - 9600*l**2 + 2205*l = 0.
-3, 0, 1/5, 49
Factor 3*j**3/4 + 66*j**2 - 267*j/4.
3*j*(j - 1)*(j + 89)/4
Factor 6*c**4/7 - 242*c**3/7 - 164*c**2/7.
2*c**2*(c - 41)*(3*c + 2)/7
Factor 3*x**4 + 144*x**3 + 1416*x**2 - 7488*x + 8112.
3*(x - 2)**2*(x + 26)**2
What is v in 4*v**2 - 2024*v + 10020 = 0?
5, 501
Factor 2*b**5/7 + 8*b**4/7 + 10*b**3/7 + 4*b**2/7.
2*b**2*(b + 1)**2*(b + 2)/7
Solve -2*w**4/13 - 6*w**3/13 + 18*w**2/13 + 46*w/13 + 24/13 = 0 for w.
-4, -1, 3
Let -20*r**5/3 + 4994*r**4/3 - 138940*r**3 + 11723584*r**2/3 - 7881016*r/3 - 1143574 = 0. Calculate r.
-3/10, 1, 83
Factor 2*j**4/7 - 46*j**3/7 + 396*j**2/7 - 216*j + 2160/7.
2*(j - 6)**3*(j - 5)/7
Determine r so that -r**3 + 5*r**2 - 4*r = 0.
0, 1, 4
Suppose -2*t**3 - 714*t**2 - 6990*t - 17350 = 0. Calculate t.
-347, -5
Factor 2*t**2 - 536*t + 35912.
2*(t - 134)**2
Determine s, given that -4*s**3 - 84*s**2 - 576*s - 1296 = 0.
-9, -6
Factor j**3/5 - 3*j**2 - 34*j/5.
j*(j - 17)*(j + 2)/5
Solve 2*w**3/21 + 2*w**2/7 - 120*w/7 = 0.
-15, 0, 12
What is r in 4*r**4/3 + 40*r**3 + 116*r**2/3 = 0?
-29, -1, 0
Factor -s**2 + 2918*s - 2128681.
-(s - 1459)**2
Factor -b**2/5 - 13*b/5 + 14/5.
-(b - 1)*(b + 14)/5
What is g in 2*g**2/15 + 16*g/5 - 10/3 = 0?
-25, 1
Factor 2*l**2/9 - 1072*l/9 - 358/3.
2*(l - 537)*(l + 1)/9
Factor -5*q**3 + 30*q**2 + 185*q + 150.
-5*(q - 10)*(q + 1)*(q + 3)
Find b such that 2*b**3/5 + 4*b**2 + 66*b/5 + 72/5 = 0.
-4, -3
Factor 121*o**2 + 506*o + 529.
(11*o + 23)**2
Suppose -g**3 + 28*g**2 + 59*g + 30 = 0. Calculate g.
-1, 30
Determine p so that 4*p**5 + 80*p**4 + 504*p**3 + 784*p**2 - 1372*p = 0.
-7, 0, 1
Factor 2*a**2 + 72*a - 152.
2*(a - 2)*(a + 38)
Suppose 3*f**3/5 + 12*f**2 - 201*f/5 + 138/5 = 0. Calculate f.
-23, 1, 2
Factor -2*b**2 - 14*b + 16.
-2*(b - 1)*(b + 8)
Let -10*y**4/11 + 14*y**3 - 600*y**2/11 + 56*y - 160/11 = 0. What is y?
2/5, 1, 4, 10
Solve -2*b**2/5 - 778*b/5 = 0 for b.
-389, 0
Factor 4*h**2 + 64*h + 256.
4*(h + 8)**2
Let 2*z**3/5 + 32*z**2/5 + 104*z/5 + 96/5 = 0. What is z?
-12, -2
Let f**2/6 - 15*f/2 + 100/3 = 0. Calculate f.
5, 40
Factor -2*f**3 + 362*f**2.
-2*f**2*(f - 181)
What is f in -2*f**3/5 + 288*f**2/5 + 2784*f + 29440 = 0?
-20, 184
Suppose 169*k**5 + 2587*k**4 + 5347*k**3 + 3661*k**2 + 784*k + 52 = 0. What is k?
-13, -1, -2/13
What is u in 3*u**3/7 - 159*u**2/7 + 846*u/7 = 0?
0, 6, 47
Factor -4*h**4/5 - 8*h**3/5 - 4*h**2/5.
-4*h**2*(h + 1)**2/5
Suppose -y**3/5 - 131*y**2/5 - 651*y - 4545 = 0. Calculate y.
-101, -15
Factor 20*b**4 - 15*b**3 - 45*b**2 - 10*b.
5*b*(b - 2)*(b + 1)*(4*b + 1)
Solve -4*l**5 + 872*l**4 - 46640*l**3 - 96800*l**2 = 0.
-2, 0, 110
What is y in -5*y**5 - 80*y**4 - 400*y**3 - 850*y**2 - 795*y - 270 = 0?
-9, -3, -2, -1
Let 5*g**3 + 70*g**2 - 75*g = 0. Calculate g.
-15, 0, 1
Factor -o**2/2 - 15*o - 161/2.
-(o + 7)*(o + 23)/2
Find v such that v**4/4 + 4*v**3 - v**2/4 - 4*v = 0.
-16, -1, 0, 1
Determine m, given that -5*m**2/3 - 160*m/3 + 340