*3.
z**3*(z - 3)*(3*z - 2)/3
Factor 4*a**5 - 32*a**4 - 44*a**3 + 72*a**2.
4*a**2*(a - 9)*(a - 1)*(a + 2)
Let -y**4/4 + 15*y**3/2 - 225*y**2/4 = 0. Calculate y.
0, 15
Determine y so that 12*y**5 + 92*y**4 + 100*y**3 - 140*y**2 - 112*y + 48 = 0.
-6, -2, -1, 1/3, 1
Suppose -3*a**4 + 12*a**3 + 2286*a**2 + 19980*a - 22275 = 0. Calculate a.
-15, 1, 33
Suppose 3*d**3 + 18*d**2 + 24*d = 0. What is d?
-4, -2, 0
Factor -23*p**3/3 - 76*p**2/3 - 20*p.
-p*(p + 2)*(23*p + 30)/3
Solve -2*v**3/5 + 8*v**2/5 = 0 for v.
0, 4
Suppose 5*l**2 - 51430*l + 132252245 = 0. Calculate l.
5143
What is r in -3*r**4 + 15*r**3 + 18*r**2 = 0?
-1, 0, 6
Let -3*i**2 - 990*i - 81675 = 0. Calculate i.
-165
Factor -2*f**5 + 54*f**4.
-2*f**4*(f - 27)
Factor 2*p**3 - 456*p**2 + 25530*p + 52900.
2*(p - 115)**2*(p + 2)
Determine c, given that -c**2/2 - 37*c/2 + 459 = 0.
-54, 17
Factor r**4/2 - 25*r**3 + 757*r**2/2 - 1650*r + 2178.
(r - 22)**2*(r - 3)**2/2
Solve o**2/3 + 23*o/3 - 8 = 0.
-24, 1
Find i such that -2*i**5 + 24*i**4 - 22*i**3 = 0.
0, 1, 11
Find k such that 2*k**5/3 - 4*k**4 - 8*k**3/3 + 112*k**2/3 - 256/3 = 0.
-2, 2, 4
Suppose -136107*g**2 + 2556*g - 12 = 0. Calculate g.
2/213
Factor 3*i**4 - 12*i**3 - 9*i**2 + 42*i - 24.
3*(i - 4)*(i - 1)**2*(i + 2)
Factor -5*y**4/4 + 10*y**3 + 5*y**2/4 - 10*y.
-5*y*(y - 8)*(y - 1)*(y + 1)/4
Let 3*i**4/2 + 21*i**3/2 - 201*i**2/2 + 411*i/2 - 117 = 0. Calculate i.
-13, 1, 2, 3
Factor 3*x**2 - 972*x + 78732.
3*(x - 162)**2
What is c in 2*c**2 + 2384*c + 4760 = 0?
-1190, -2
Factor -2*k**2 + 24*k + 320.
-2*(k - 20)*(k + 8)
Factor 14*g**3/9 + 430*g**2/9 - 572*g/9 + 128/9.
2*(g - 1)*(g + 32)*(7*g - 2)/9
Let 2*r**4/7 + 2*r**3/7 - 164*r**2/7 + 568*r/7 - 528/7 = 0. What is r?
-11, 2, 6
Factor r**2/6 - 613*r/3.
r*(r - 1226)/6
Let -32*w**5 + 784*w**4 - 4514*w**3 + 7552*w**2 - 2978*w + 340 = 0. Calculate w.
1/4, 2, 5, 17
What is k in k**2/5 + 233*k = 0?
-1165, 0
Factor -2*k**5/3 - 98*k**4/3 - 32*k**3.
-2*k**3*(k + 1)*(k + 48)/3
Factor 2*t**2 - 74*t + 140.
2*(t - 35)*(t - 2)
Solve -3*s**4/4 - 15*s**3/2 - 99*s**2/4 - 27*s = 0.
-4, -3, 0
Factor 2*o**4/15 + 2*o**3/15 - 2*o**2/15 - 2*o/15.
2*o*(o - 1)*(o + 1)**2/15
Factor -2*z**2 - 148*z - 146.
-2*(z + 1)*(z + 73)
Factor -s**5 - 213*s**4 + 217*s**3 + 637*s**2 - 1068*s + 428.
-(s - 1)**3*(s + 2)*(s + 214)
What is t in 2*t**2/5 - 141*t/5 + 14 = 0?
1/2, 70
Factor 4*m**3 + 148*m**2 + 1792*m + 7056.
4*(m + 9)*(m + 14)**2
Solve 2*g**3 + 58*g**2 + 208*g + 200 = 0.
-25, -2
Factor k**4/2 - 98*k**3 + 4703*k**2 + 9702*k + 9801/2.
(k - 99)**2*(k + 1)**2/2
Factor 2*v**3/3 - 74*v**2/3 - 352*v/3 + 328.
2*(v - 41)*(v - 2)*(v + 6)/3
Suppose 2*x**2/5 - 3142*x/5 + 628 = 0. Calculate x.
1, 1570
Find n such that 3*n**4 - 297*n**3 + 573*n**2 + 873*n = 0.
-1, 0, 3, 97
What is k in -k**5/4 + 53*k**4/4 - 727*k**3/4 + 623*k**2/4 + 182*k - 169 = 0?
-1, 1, 26
Let -b**2 + 72*b - 1296 = 0. Calculate b.
36
Determine k, given that -11*k**4/3 - 8*k**3 + 73*k**2/3 - 10*k - 8/3 = 0.
-4, -2/11, 1
Factor -15*g**3 + 125*g**2 - 40*g.
-5*g*(g - 8)*(3*g - 1)
What is j in 22*j**2/15 - 4*j/15 = 0?
0, 2/11
What is k in -3*k**4/2 + 15*k**3/2 - 15*k**2/2 - 15*k/2 + 9 = 0?
-1, 1, 2, 3
Determine n, given that 4*n**2 + 224*n + 3136 = 0.
-28
Determine o so that -o**4/5 + 284*o**3/5 + 57*o**2 = 0.
-1, 0, 285
Solve 5*a**4 - 25*a**3 - 60*a**2 + 400*a - 320 = 0.
-4, 1, 4
Factor 28*b**2/9 - 116*b/9 + 16/9.
4*(b - 4)*(7*b - 1)/9
Factor 6*y**2/11 + 30*y/11.
6*y*(y + 5)/11
Solve 2*f**5 + 6*f**4 - 162*f**3 + 594*f**2 - 648*f = 0 for f.
-12, 0, 3
Factor a**3 - 6*a**2 + 5*a.
a*(a - 5)*(a - 1)
Let -2*m**4 + 10*m**3 - 12*m**2 - 8*m + 16 = 0. What is m?
-1, 2
Factor 2*u**4 + 56*u**3 + 444*u**2 + 728*u + 338.
2*(u + 1)**2*(u + 13)**2
Factor 3*d**5 - 3*d**4 - 9*d**3 + 15*d**2 - 6*d.
3*d*(d - 1)**3*(d + 2)
Factor 5*q**2 - 17430*q + 17425.
5*(q - 3485)*(q - 1)
Factor -2*d**5/7 + 142*d**4/7 + 144*d**3/7.
-2*d**3*(d - 72)*(d + 1)/7
Suppose -2*r**4/13 + 10*r**2/13 - 8/13 = 0. What is r?
-2, -1, 1, 2
Factor 4*p**2 + 6528*p + 2663424.
4*(p + 816)**2
Factor -2*j**2/9 - 1528*j/9 - 1016/3.
-2*(j + 2)*(j + 762)/9
Solve 7*b**5 + 61*b**4 + 122*b**3 + 44*b**2 - 24*b = 0 for b.
-6, -2, -1, 0, 2/7
Factor -196*v**3 + 7756*v**2 - 4384*v + 624.
-4*(v - 39)*(7*v - 2)**2
Factor 2*i**4 + 9182*i**3 + 9180*i**2.
2*i**2*(i + 1)*(i + 4590)
Factor 2*x**3/5 + 118*x**2/5 - 128*x.
2*x*(x - 5)*(x + 64)/5
What is x in -5*x**2 + 195*x - 190 = 0?
1, 38
Let -3*b**5 - 41*b**4 + 301*b**3 - 103*b**2 - 898*b - 456 = 0. What is b?
-19, -1, -2/3, 3, 4
Factor -3*v**4/4 - 6123*v**3/2 - 12484791*v**2/4 + 6251583*v - 3127323.
-3*(v - 1)**2*(v + 2042)**2/4
Solve -2*h**3 + 306*h**2 - 2352*h + 4640 = 0.
4, 145
Factor u**2/3 + 61*u/3 + 286.
(u + 22)*(u + 39)/3
Factor m**3 - 15*m**2.
m**2*(m - 15)
Find f, given that -f**5/6 + 25*f**4/6 + 9*f**3 + f**2/3 - 53*f/6 - 9/2 = 0.
-1, 1, 27
Find k, given that 2*k**4 + 68*k**3 - 70*k**2 = 0.
-35, 0, 1
Let -q**4 - 8*q**3 + 30*q**2 - 32*q + 11 = 0. What is q?
-11, 1
Factor 3*j**2 + 39*j + 120.
3*(j + 5)*(j + 8)
Find x, given that -x**4 + 47*x**3 - 612*x**2 + 1276*x + 1936 = 0.
-1, 4, 22
Solve 5*g**4 + 15*g**3 - 50*g**2 = 0 for g.
-5, 0, 2
Solve -2*a**4/15 - 46*a**3/15 + 2716*a**2/15 + 4744*a + 4560 = 0 for a.
-30, -1, 38
Factor j**3/2 - 47*j**2/2 - 25*j + 48.
(j - 48)*(j - 1)*(j + 2)/2
Factor -5*k**2 - 16270*k - 13235645.
-5*(k + 1627)**2
Factor 4*g**2/5 + 38*g/15 + 2/5.
2*(g + 3)*(6*g + 1)/15
Find j such that 5*j**5 - 35*j**4 + 75*j**3 - 25*j**2 - 80*j + 60 = 0.
-1, 1, 2, 3
Factor -4*o**4/3 + 88*o**3/3 + 92*o**2/3.
-4*o**2*(o - 23)*(o + 1)/3
Factor -8*p**4 + 20*p**3 - 16*p**2 + 4*p.
-4*p*(p - 1)**2*(2*p - 1)
What is d in -4*d**5 - 44*d**4 - 136*d**3 + 32*d**2 + 640*d + 512 = 0?
-4, -1, 2
Factor -11*j**3 - 20*j**2 + 4*j.
-j*(j + 2)*(11*j - 2)
Factor -2*f**3/3 - 4*f**2/3 - 2*f/3.
-2*f*(f + 1)**2/3
Let -5*k**4 + 160*k**3 - 920*k**2 - 5760*k - 6480 = 0. Calculate k.
-2, 18
Factor -55*c**3 - 350*c**2 + 405*c.
-5*c*(c - 1)*(11*c + 81)
Find w, given that -20*w**4 - 4215*w**3 + 1055*w**2 = 0.
-211, 0, 1/4
Factor 44*u**3/5 - 72*u**2/5 + 12*u/5 + 16/5.
4*(u - 1)**2*(11*u + 4)/5
Suppose 3*c**5 + 21*c**4 + 54*c**3 + 60*c**2 + 24*c = 0. Calculate c.
-2, -1, 0
Factor 28*b**3 - 468*b**2 - 948*b/7 - 68/7.
4*(b - 17)*(7*b + 1)**2/7
Factor -686*x**4/11 + 66150*x**3/11 - 2126250*x**2/11 + 22781250*x/11.
-2*x*(7*x - 225)**3/11
Factor n**3/3 + 249*n**2 + 46872*n + 138384.
(n + 3)*(n + 372)**2/3
Factor 2*n**2/3 + 14*n/3.
2*n*(n + 7)/3
Find i such that -i**3/5 - 6*i**2/5 - 8*i/5 = 0.
-4, -2, 0
Factor 4*f**3 + 40*f**2 - 4*f - 40.
4*(f - 1)*(f + 1)*(f + 10)
Find q such that -6*q**2 + 99*q + 420 = 0.
-7/2, 20
Factor -128*t**4/7 + 30304*t**3/7 - 3240*t**2 + 5666*t/7 - 472/7.
-2*(t - 236)*(4*t - 1)**3/7
Let -3*p**3 + 141*p**2 + 291*p + 147 = 0. Calculate p.
-1, 49
Factor -2*c**3/7 - 46*c**2/7 + 436*c/7 + 480/7.
-2*(c - 8)*(c + 1)*(c + 30)/7
Factor -4*d**3/9 - 52*d**2/9 - 40*d/9 + 32/3.
-4*(d - 1)*(d + 2)*(d + 12)/9
Determine a, given that -2*a**5/11 + 4*a**4 - 116*a**3/11 + 32*a**2/11 + 118*a/11 - 76/11 = 0.
-1, 1, 2, 19
Factor 2*o**3/9 - 104*o**2/9 + 568*o/9 - 736/9.
2*(o - 46)*(o - 4)*(o - 2)/9
Determine w, given that 16*w**5/3 + 112*w**4/3 + 28*w**3 - 80*w**2/3 - 44*w/3 + 8 = 0.
-6, -1, 1/2
Factor -2*a**2 + 1566*a - 1564.
-2*(a - 782)*(a - 1)
Solve -3*o**5 + 51*o**4 + 240*o**3 + 252*o**2 = 0.
-2, 0, 21
What is k in -k**5 + 14*k**4 - 78*k**3 + 216*k**2 - 297*k + 162 = 0?
2, 3
Factor f**4/6 + 11*f**3/3 + 30*f**2 + 108*f + 144.
(f + 4)*(f + 6)**3/6
Find n, given that n**4/6 + n**3/2 - 5*n**2/3 - 4*n = 0.
-4, -2, 0, 3
Factor -2*r**4/9 - 8*r**3/9 + 32*r**2/9 + 128*r/9.
-2*r*(r - 4)*(r + 4)**2/9
Let 3*t**3/7 - 1857*t**2/7 + 3705*t/7 - 1851/7 = 0. Calculate t.
1, 617
Factor 2*r**2 - 176*r - 178.
2*(r - 89)*(r + 1)
Find q such that -2*q**4/7 - 8*q**3 - 104*q**2/7 = 0.
-26, -2, 0
Find y, given that y**5/8 - 3*y**4/4 + y**3 + 3*y**2/4 - 9*y/8 = 0.
-1, 0, 1, 3
What is n in 4*n**3 - 100*n**2 + 828*n - 2268 = 0?
7, 9
Factor v**5 + 90*v**4 - 91*v**3.
v**3*(v - 1)*(v + 91)
Find m, given that -5*m**5 - 210*m**4 - 820*m**3 + 3770*m**2 - 4215*m + 1480 = 0.
-37, -8, 1
Factor -a**2/6 + 221*a/6 + 37.
-(a - 222)*(a + 1)/6
Factor -d**2/2 + 4975*d - 24750625/2.
-(d - 4975)**2/2
What is t in -t**2 + 8*t = 0?
0, 8
Factor -q**2