 9.
(s - 2)*(s + 1)*(2*s + 3)**2/2
Factor 2*f**5 + 54*f**4 + 432*f**3 + 864*f**2.
2*f**2*(f + 3)*(f + 12)**2
Determine g so that -g**3/6 + 8095*g**2/6 - 8189104*g/3 - 8193152/3 = 0.
-1, 4048
Factor w**2 + 38*w + 361.
(w + 19)**2
Factor 2*m**4 + 4*m**3 - 26*m**2 + 20*m.
2*m*(m - 2)*(m - 1)*(m + 5)
Find z such that -2*z**4/7 - 352*z**3/7 - 696*z**2/7 = 0.
-174, -2, 0
Solve -3*g**3/2 - 639*g**2/2 - 45369*g/2 - 1073733/2 = 0 for g.
-71
Factor -l**3/3 + 8*l**2/3 + l/3 - 8/3.
-(l - 8)*(l - 1)*(l + 1)/3
Solve -y**5/6 - 2*y**4/3 + 17*y**3/6 + 34*y**2/3 - 8*y/3 - 32/3 = 0 for y.
-4, -1, 1, 4
Solve -3*z**4 - 21*z**3 + 66*z**2 + 768*z + 1440 = 0 for z.
-5, -4, 6
Factor 3*d**4 + 276*d**3 - 9*d**2 - 834*d - 552.
3*(d - 2)*(d + 1)**2*(d + 92)
Factor 2*x**3/11 + 72*x**2/11 + 318*x/11 + 248/11.
2*(x + 1)*(x + 4)*(x + 31)/11
Suppose 4*z**5/9 - 2*z**4/3 - 2*z**3/9 + 2*z**2/3 - 2*z/9 = 0. What is z?
-1, 0, 1/2, 1
Let 4*x**5 + 140*x**4 - 44*x**3 - 1468*x**2 + 2488*x - 1120 = 0. What is x?
-35, -4, 1, 2
Factor -f**3/7 + 37*f**2/7 - 260*f/7 + 32.
-(f - 28)*(f - 8)*(f - 1)/7
Factor 2271*w**4/4 - 3*w**3/2.
3*w**3*(757*w - 2)/4
Factor 2*r**3/5 - 12*r**2 + 306*r/5 - 432/5.
2*(r - 24)*(r - 3)**2/5
Factor v**3/4 + 7*v**2/2 + 15*v + 18.
(v + 2)*(v + 6)**2/4
Factor -d**2 + 839*d - 838.
-(d - 838)*(d - 1)
Factor x**4 + 4*x**3.
x**3*(x + 4)
Factor 5*a**2 - 15*a.
5*a*(a - 3)
Factor v**4 + 171*v**3 + 504*v**2 - 4*v - 672.
(v - 1)*(v + 2)**2*(v + 168)
Suppose -3*l**2/4 + 531*l/4 = 0. Calculate l.
0, 177
Find w such that 2*w**2 + 14*w + 24 = 0.
-4, -3
Factor -h**4 + 8004*h**3 - 24024006*h**2 + 32048024004*h - 16032024008001.
-(h - 2001)**4
Suppose -y**4/2 + 12*y**3 - 78*y**2 + 112*y = 0. What is y?
0, 2, 8, 14
Factor b**3/6 + 5*b**2/2 - b/6 - 5/2.
(b - 1)*(b + 1)*(b + 15)/6
Let -4*h**4 + 1512*h**3 - 4512*h**2 + 4504*h - 1500 = 0. What is h?
1, 375
Factor -2*s**2/13 - 50*s/13 - 48/13.
-2*(s + 1)*(s + 24)/13
Determine z, given that 2*z**4/3 + 64*z**3/3 + 122*z**2/3 + 20*z = 0.
-30, -1, 0
What is m in -2*m**4/9 + 2*m**3/3 + 4*m**2/3 - 16*m/9 = 0?
-2, 0, 1, 4
Factor -35*r**4 + 37*r**3 - 2*r**2.
-r**2*(r - 1)*(35*r - 2)
Determine l, given that 4*l**2/7 + 15016*l/7 + 14092516/7 = 0.
-1877
Determine q, given that -15*q**5 - 25*q**4 + 10*q**3 + 30*q**2 + 5*q - 5 = 0.
-1, 1/3, 1
Suppose -m**4 - 31*m**3 - 40*m**2 + 3600*m = 0. Calculate m.
-20, 0, 9
Factor k**3/3 + 2*k**2 - 192*k - 6656/3.
(k - 26)*(k + 16)**2/3
Solve 4*j**4 + 732*j**3 - 5260*j**2 + 11364*j - 6840 = 0.
-190, 1, 3
Find p such that -p**3 - 11*p**2 - 24*p + 36 = 0.
-6, 1
Factor -t**3 + 2586*t**2 - 2229132*t + 640503928.
-(t - 862)**3
Let f**4/3 + 26*f**3/3 + 92*f**2/3 + 88*f/3 = 0. Calculate f.
-22, -2, 0
Factor q**4/4 - 3*q**2/2 - 2*q - 3/4.
(q - 3)*(q + 1)**3/4
Factor -98*s**5/5 - 210*s**4 - 1584*s**3/5 - 648*s**2/5.
-2*s**2*(s + 9)*(7*s + 6)**2/5
Let -2*u**4 + 132*u**2 - 256*u + 126 = 0. Calculate u.
-9, 1, 7
Factor 5*q**4/2 + 115*q**3/2 + 495*q**2 + 1890*q + 2700.
5*(q + 5)*(q + 6)**3/2
Factor -2*d**3/11 + 1568*d**2/11 + 1570*d/11.
-2*d*(d - 785)*(d + 1)/11
Factor -4*l**4 - 480*l**3 - 13908*l**2 + 29768*l.
-4*l*(l - 2)*(l + 61)**2
Factor 4*l**2/7 + 5728*l/7.
4*l*(l + 1432)/7
Solve 3*y**2 + 5427*y + 5424 = 0.
-1808, -1
Solve -2*x**2/3 + 80*x/3 + 294 = 0 for x.
-9, 49
Factor -2*i**5/5 + 14*i**4/5 + 34*i**3/5 + 18*i**2/5.
-2*i**2*(i - 9)*(i + 1)**2/5
Find s such that -s**2 + 60*s + 61 = 0.
-1, 61
Factor 5*k**3 + 95*k**2 + 315*k + 225.
5*(k + 1)*(k + 3)*(k + 15)
Factor m**2/4 + 15*m/4.
m*(m + 15)/4
Determine c, given that 5*c**5 - 10*c**4 - 40*c**3 - 10*c**2 + 35*c + 20 = 0.
-1, 1, 4
Factor -3*q**3/8 - 39*q**2/2 - 2175*q/8 - 1875/4.
-3*(q + 2)*(q + 25)**2/8
Factor -3*y**2/7 - 351*y/7 + 354/7.
-3*(y - 1)*(y + 118)/7
Factor -y**4 - 13*y**3 - 58*y**2 - 108*y - 72.
-(y + 2)**2*(y + 3)*(y + 6)
Factor 2*z**3/5 - 6*z**2/5 - 12*z/5 + 16/5.
2*(z - 4)*(z - 1)*(z + 2)/5
Factor g**4/2 + 6*g**3 + 18*g**2.
g**2*(g + 6)**2/2
Suppose m**3/8 + 9*m**2/8 - 21*m/8 + 11/8 = 0. What is m?
-11, 1
Factor -5*b**2 + 170*b + 175.
-5*(b - 35)*(b + 1)
Factor -2*x**4 - 63*x**3/5 - 108*x**2/5 - 27*x/5.
-x*(x + 3)**2*(10*x + 3)/5
Factor 2*u**5/5 + 2*u**4/5 - 28*u**3/5 + 52*u**2/5 - 38*u/5 + 2.
2*(u - 1)**4*(u + 5)/5
Factor 2*z**2/5 - 16*z - 768/5.
2*(z - 48)*(z + 8)/5
What is h in 24*h**4/5 + 46*h**3/5 - 34*h**2/5 - 36*h/5 = 0?
-9/4, -2/3, 0, 1
Factor -5*q**2 + 240*q + 1925.
-5*(q - 55)*(q + 7)
Let 33*t**4/4 - 21*t**3/4 - 39*t**2/2 - 6*t = 0. Calculate t.
-1, -4/11, 0, 2
Factor -8*r**5/9 + 14*r**4/9 - 4*r**3/9 - 2*r**2/9.
-2*r**2*(r - 1)**2*(4*r + 1)/9
Suppose 25*k**5/2 - 80*k**4 + 180*k**3 - 160*k**2 + 40*k = 0. Calculate k.
0, 2/5, 2
Solve 2*m**4 - 4394*m**3 - 13194*m**2 - 13198*m - 4400 = 0.
-1, 2200
Suppose -8*z**3/3 - 142*z**2/3 + 180*z - 42 = 0. Calculate z.
-21, 1/4, 3
Let 3105*l**4 + 15545*l**3 + 9415*l**2 - 27885*l - 180 = 0. Calculate l.
-3, -4/621, 1
Let 3*j**5 - 18*j**4 + 15*j**3 + 48*j**2 - 36*j - 48 = 0. Calculate j.
-1, 2, 4
Factor s**2/11 + 75*s/11.
s*(s + 75)/11
Find o, given that -2*o**4/3 - 14*o**3/3 - 32*o**2/3 - 8*o = 0.
-3, -2, 0
Find a such that a**2 - 4*a - 396 = 0.
-18, 22
Let 2*l**3 - 2*l = 0. Calculate l.
-1, 0, 1
What is q in -3*q**3 - 21*q**2 - 48*q - 36 = 0?
-3, -2
Let 2*g**5 + 123*g**4/2 + 421*g**3/2 + 435*g**2/2 + 79*g/2 - 27 = 0. Calculate g.
-27, -2, -1, 1/4
Factor 2*c**5/7 + 10*c**4/7 - 4*c**3.
2*c**3*(c - 2)*(c + 7)/7
Find t, given that t**4/4 - 18*t**3 + 611*t**2/2 + 666*t + 1369/4 = 0.
-1, 37
Let 4*n**3 + 29736*n**2 + 73685808*n + 60864477408 = 0. What is n?
-2478
Find a such that -4*a**4/3 - 4*a**3/3 + 16*a**2 + 112*a/3 + 64/3 = 0.
-2, -1, 4
Suppose -2*z**5/25 + 68*z**4/25 - 642*z**3/25 + 1088*z**2/25 - 512*z/25 = 0. Calculate z.
0, 1, 16
Solve -3*f**2 + 16089*f = 0 for f.
0, 5363
Find y, given that -y**4/5 + 19*y**3/5 - 24*y**2 + 252*y/5 = 0.
0, 6, 7
Let -4*h**2 - 48*h - 44 = 0. Calculate h.
-11, -1
Factor -4*v**4/3 + 3448*v**3/3 - 739588*v**2/3 - 496512*v - 248832.
-4*(v - 432)**2*(v + 1)**2/3
Suppose 4*s**3 - 1340*s**2 - 4072*s + 5408 = 0. What is s?
-4, 1, 338
Factor 4*b**3 - 9000*b**2 + 6750000*b - 1687500000.
4*(b - 750)**3
Solve 2*f**2/3 - 1634*f/3 = 0.
0, 817
Let 5*n**5 - 115*n**4 + 305*n**3 - 85*n**2 - 310*n + 200 = 0. What is n?
-1, 1, 2, 20
Let 9*r**4/4 + 6*r**3 - 11*r**2 + 4*r = 0. What is r?
-4, 0, 2/3
Suppose 3*z**5/5 + 8*z**4 + 179*z**3/5 + 54*z**2 - 32*z/5 - 32 = 0. Calculate z.
-5, -4, -1, 2/3
Factor -84050*p**3 - 90610*p**2 - 6688*p - 128.
-2*(p + 1)*(205*p + 8)**2
Determine f, given that 2*f**4/9 + 338*f**3/9 + 14774*f**2/9 + 13778*f/3 = 0.
-83, -3, 0
Solve -4*f**2 + 2180*f - 6504 = 0.
3, 542
Let a**3/5 - 8*a**2 - 4*a/5 + 32 = 0. Calculate a.
-2, 2, 40
Let 3*d**5/5 + d**4/5 - 11*d**3/5 + 3*d**2/5 + 8*d/5 - 4/5 = 0. What is d?
-2, -1, 2/3, 1
Factor 4*v**3 + 2412*v**2 + 371904*v + 2486512.
4*(v + 7)*(v + 298)**2
Let 5*d**5 + 25*d**4 + 35*d**3 + 15*d**2 = 0. What is d?
-3, -1, 0
Solve 6*l**4/7 + 2*l**3/3 - 76*l**2/21 - 8*l/3 + 16/21 = 0 for l.
-2, -1, 2/9, 2
Find o such that -o**5/5 - 52*o**4/5 - 57*o**3 - 414*o**2/5 = 0.
-46, -3, 0
Let -2*d**4 - 656*d**3 = 0. What is d?
-328, 0
Factor -4*n**5 + 12*n**4 - 12*n**3 + 4*n**2.
-4*n**2*(n - 1)**3
Factor -4*q**3 + 96*q**2 - 612*q + 1080.
-4*(q - 15)*(q - 6)*(q - 3)
Let -3*f**2/2 + 3261*f/2 + 4905 = 0. Calculate f.
-3, 1090
Factor -3*w**3/7 + 102*w**2/7 - 372*w/7 + 360/7.
-3*(w - 30)*(w - 2)**2/7
Suppose -5*b**3/6 - 25*b**2/6 - 5*b/3 + 20/3 = 0. Calculate b.
-4, -2, 1
Suppose 2*v**3/13 + 24*v**2/13 + 96*v/13 + 128/13 = 0. Calculate v.
-4
Factor -4*i**4 - 4*i**3 + 52*i**2 + 100*i + 48.
-4*(i - 4)*(i + 1)**2*(i + 3)
Let -w**5/7 + 6*w**4/7 - 12*w**3/7 + 8*w**2/7 = 0. What is w?
0, 2
Find a such that -864*a**5 - 216*a**4 + 2358*a**3 + 5095*a**2/2 + 1925*a/2 + 125 = 0.
-1, -5/12, 2
What is o in 2*o**4/7 + 20*o**3/7 - 102*o**2/7 + 136*o/7 - 8 = 0?
-14, 1, 2
Let -3*t**3/4 + 35*t**2/4 + 51*t + 16 = 0. What is t?
-4, -1/3, 16
Factor -n**3 - 105*n**2 + 433*n - 327.
-(n - 3)*(n - 1)*(n + 109)
Factor 6*d**2 - 123*d - 63.
3*(d - 21)*(2*d + 1)
Factor 3*w**3/2 - 15*w**2 - 183*w/2 + 105.
3*(w - 14)*(w - 1)*(w + 5)/2
Factor m**3/3 - 14*m**2/3 + 7*m + 12.
(m - 12)*(m - 3)*(m + 1)/3
Factor -12*p**4 - 80*p**3 + 36*p**2 + 56*p.
-4*p*(p - 1)*(p + 7)*(3*p + 2)
Let -5*s**4 - 45