*2 - 81 = 0.
-3, -3/4, 1
Factor 4*x**2 - 676*x + 672.
4*(x - 168)*(x - 1)
Determine z, given that 6*z**2/5 - 936*z/5 + 36504/5 = 0.
78
Find p such that -p**5/9 + 5*p**4/9 - 2*p**3/9 - 14*p**2/9 + p/3 + 1 = 0.
-1, 1, 3
Factor 5*n**5 - 325*n**4 - 1350*n**3 - 2050*n**2 - 1375*n - 345.
5*(n - 69)*(n + 1)**4
Determine y so that 2*y**5/7 - 116*y**4/7 + 226*y**3/7 - 16*y**2 = 0.
0, 1, 56
Factor 5*z**4/3 + 185*z**3/3 + 800*z**2/3.
5*z**2*(z + 5)*(z + 32)/3
Factor 22*w**2 + 20*w.
2*w*(11*w + 10)
Determine y so that 2*y**3/11 - 64*y**2/11 = 0.
0, 32
Determine h, given that 3*h**4/4 - 27*h**3/4 - 15*h**2/2 = 0.
-1, 0, 10
Suppose -4*s**3/3 + 38*s**2/3 + 64*s/3 + 22/3 = 0. What is s?
-1, -1/2, 11
Factor -3*c**5 + 78*c**4 - 144*c**3 - 6*c**2 + 147*c - 72.
-3*(c - 24)*(c - 1)**3*(c + 1)
Factor -4*c**2/7 - 40*c/7 - 64/7.
-4*(c + 2)*(c + 8)/7
Factor 5*l**3 + 6500*l**2 + 2118985*l + 4212010.
5*(l + 2)*(l + 649)**2
Factor h**2 - 276*h + 19044.
(h - 138)**2
Factor -c**3 - 13*c**2 + 14*c.
-c*(c - 1)*(c + 14)
What is f in f**2/5 - 2*f - 24/5 = 0?
-2, 12
Factor -2*s**4/5 - 4*s**3 + 6*s**2/5 + 56*s - 392/5.
-2*(s - 2)**2*(s + 7)**2/5
Factor -b**3/2 + 80*b**2 - 933*b/2 + 693.
-(b - 154)*(b - 3)**2/2
Find s, given that -4*s**5 - 132*s**4 - 988*s**3 + 2196*s**2 + 7616*s - 13872 = 0.
-17, -3, 2
Factor 658*s**3/11 - 120*s**2 + 666*s/11 - 4/11.
2*(s - 1)**2*(329*s - 2)/11
Determine f so that -2*f**2/7 + 3688*f/7 - 1700168/7 = 0.
922
Factor 3*a**4 + 102*a**3 + 288*a**2 + 282*a + 93.
3*(a + 1)**3*(a + 31)
Factor 4*x**4 - 16*x**3 - 16*x**2 + 64*x.
4*x*(x - 4)*(x - 2)*(x + 2)
Factor 3*m**2 + 93*m - 420.
3*(m - 4)*(m + 35)
Suppose -16*x**4 - 2428*x**3 + 5520*x**2 - 3692*x + 616 = 0. What is x?
-154, 1/4, 1
Factor 98*b**2 - 70*b + 25/2.
(14*b - 5)**2/2
Let 4*s**4/19 - 78*s**3/19 + 322*s**2/19 - 480*s/19 + 232/19 = 0. Calculate s.
1, 2, 29/2
Suppose 3*p**2/2 + 3*p = 0. Calculate p.
-2, 0
Factor -5*p**2 + 25*p + 180.
-5*(p - 9)*(p + 4)
Factor 14*n**4 + 10*n**3 - 32*n**2 + 8*n.
2*n*(n - 1)*(n + 2)*(7*n - 2)
Solve -4*q**2/5 - 48*q/5 + 52/5 = 0 for q.
-13, 1
Find d, given that 5*d**3 + 2270*d**2 + 9020*d + 9000 = 0.
-450, -2
Find i, given that 2*i**5 + 12*i**4 - 30*i**3 + 16*i**2 = 0.
-8, 0, 1
Find j, given that -5*j**2 - 310*j + 315 = 0.
-63, 1
Let 4*a**2 - 120*a - 396 = 0. What is a?
-3, 33
Factor -n**2/3 + 506*n/3 + 1016/3.
-(n - 508)*(n + 2)/3
Factor -2*f**2/3 + 232*f/3 + 750.
-2*(f - 125)*(f + 9)/3
Determine y so that 4*y**2 + 52*y - 272 = 0.
-17, 4
Find w such that w**5/10 + w**4 - 2*w**3/5 - 4*w**2 = 0.
-10, -2, 0, 2
Let -u**3 - 3*u**2 + 18*u = 0. What is u?
-6, 0, 3
Factor z**2/4 + 5*z/2 + 6.
(z + 4)*(z + 6)/4
Factor -126*s**3 + 248*s**2 + 386*s + 12.
-2*(s - 3)*(s + 1)*(63*s + 2)
Factor 3*q**2/7 - 48*q/7 - 51/7.
3*(q - 17)*(q + 1)/7
Factor c**3/2 + 4*c**2.
c**2*(c + 8)/2
Suppose 2*z**5/3 - 76*z**4/3 - 158*z**3/3 - 80*z**2/3 = 0. Calculate z.
-1, 0, 40
Determine n so that -n**2/6 - 4579*n/3 - 20967241/6 = 0.
-4579
Find o such that 4*o**4 + 4*o**3 - 628*o**2 - 1252*o - 624 = 0.
-12, -1, 13
What is h in 2*h**4 + 2*h**3 - 24*h**2 - 56*h - 32 = 0?
-2, -1, 4
Let 2*m**5/5 + 2*m**4/5 - 6*m**3/5 - 2*m**2 - 4*m/5 = 0. Calculate m.
-1, 0, 2
Factor 2*q**2/21 - 174*q/7.
2*q*(q - 261)/21
Factor -4*h**2 - 644*h - 9792.
-4*(h + 17)*(h + 144)
Factor -3*d**2 + 36*d - 108.
-3*(d - 6)**2
Find h, given that 18*h**3/11 + 752*h**2/11 - 5352*h/11 + 1152/11 = 0.
-48, 2/9, 6
Factor x**4/5 + 9*x**3/5 - 21*x**2/5 + 11*x/5.
x*(x - 1)**2*(x + 11)/5
Factor -15*f**4 - 4314*f**3 + 1728*f**2.
-3*f**2*(f + 288)*(5*f - 2)
Find h such that 5*h**4 - 20*h**3 - 35*h**2 + 170*h - 120 = 0.
-3, 1, 2, 4
Factor 55*b**2 - 100*b - 20.
5*(b - 2)*(11*b + 2)
Determine t, given that -27*t**5/5 - 243*t**4/5 - 171*t**3/5 + 343*t**2/5 - 134*t/5 + 16/5 = 0.
-8, -2, 1/3
Let 9*k**4 - 57*k**3/5 - 18*k**2 + 36*k/5 + 24/5 = 0. Calculate k.
-1, -2/5, 2/3, 2
Solve -o**3 + 41*o**2 - 114*o = 0.
0, 3, 38
Solve -3*i**3 + 18*i**2 + 27*i - 42 = 0.
-2, 1, 7
Factor j**4/5 + 37*j**3/5 + 7*j**2 - 37*j/5 - 36/5.
(j - 1)*(j + 1)**2*(j + 36)/5
Factor -q**4/4 + 15*q**3/2 - 29*q**2/4.
-q**2*(q - 29)*(q - 1)/4
What is k in -k**2/4 + 2*k = 0?
0, 8
Factor -10*q**3 + 236*q**2 - 534*q - 252.
-2*(q - 21)*(q - 3)*(5*q + 2)
Factor 2*k**4/9 - 8*k**2/9.
2*k**2*(k - 2)*(k + 2)/9
Suppose -2*r**4 + 124*r**3 - 2522*r**2 + 18600*r - 45000 = 0. Calculate r.
6, 25
Determine h, given that h**3 - 5*h**2/3 + h/3 + 1/3 = 0.
-1/3, 1
Factor -3*j**5 - 213*j**4 - 1008*j**3 - 1176*j**2 + 816*j + 1584.
-3*(j - 1)*(j + 2)**3*(j + 66)
Find y, given that -21*y**2 - 279*y + 210 = 0.
-14, 5/7
Let a**4 - 10*a**3 + 35*a**2 - 50*a + 24 = 0. What is a?
1, 2, 3, 4
Determine j so that -10*j**4 - 29*j**3 + 93*j**2 - 59*j + 5 = 0.
-5, 1/10, 1
Factor o**3/4 - 7*o**2 + 125*o/4 + 77/2.
(o - 22)*(o - 7)*(o + 1)/4
Find j, given that 7*j**5 - 65*j**4 - 318*j**3 - 268*j**2 + 104*j = 0.
-2, 0, 2/7, 13
Let 8*r**2/3 + 5*r + 7/3 = 0. What is r?
-1, -7/8
Factor 2*p**5 + 12*p**4 - 6*p**3 - 40*p**2 - 24*p.
2*p*(p - 2)*(p + 1)**2*(p + 6)
Factor 43*w**2 + 4*w.
w*(43*w + 4)
Factor -2*u**3/9 + 886*u**2/3 - 2656*u/9.
-2*u*(u - 1328)*(u - 1)/9
Factor m**3 + 107*m**2 + 210*m.
m*(m + 2)*(m + 105)
Factor -3*s**3 - 351*s**2 + 2190*s - 2952.
-3*(s - 4)*(s - 2)*(s + 123)
Let 5*t**5 + 100*t**4 - 225*t**3 - 100*t**2 + 220*t = 0. What is t?
-22, -1, 0, 1, 2
Let -2*l**3/7 + 26*l**2/7 = 0. What is l?
0, 13
Factor 2*r**4 + 88*r**3 + 252*r**2 + 248*r + 82.
2*(r + 1)**3*(r + 41)
Factor -b**2/2 - 31*b/2 - 99.
-(b + 9)*(b + 22)/2
Factor -g**2/5 - 118*g - 17405.
-(g + 295)**2/5
Solve -2*d**5 + 94*d**4 - 172*d**3 - 376*d**2 + 720*d = 0 for d.
-2, 0, 2, 45
Suppose -f**4 - 5*f**3 - 6*f**2 = 0. Calculate f.
-3, -2, 0
Factor w**5 - 1853*w**4 + 855619*w**3 + 2577985*w**2 + 2581696*w + 861184.
(w - 928)**2*(w + 1)**3
Let 1030*u**2/3 - 598*u/9 - 4/9 = 0. Calculate u.
-2/309, 1/5
Let -o**4 - 11*o**3 - 11*o**2 + 59*o - 36 = 0. Calculate o.
-9, -4, 1
Let -5*q**5 - 25*q**4 - 35*q**3 + 5*q**2 + 40*q + 20 = 0. What is q?
-2, -1, 1
Suppose 2*l**4 - 12*l**3 - 34*l**2 + 12*l + 32 = 0. What is l?
-2, -1, 1, 8
Factor 3*w**2/5 + 126*w/5 + 456/5.
3*(w + 4)*(w + 38)/5
Solve -k**3/2 + 61*k**2/2 - 480*k + 450 = 0 for k.
1, 30
Factor 500*f**5 - 1600*f**4 + 1940*f**3 - 1112*f**2 + 304*f - 32.
4*(f - 1)**2*(5*f - 2)**3
Factor 28*m**4 - 2148*m**3 - 616*m**2.
4*m**2*(m - 77)*(7*m + 2)
Suppose 2*s**5 + 2*s**4 - 270*s**3 - 2*s**2 + 796*s - 528 = 0. Calculate s.
-12, -2, 1, 11
Factor -5*z**4 + 50*z**3 - 115*z**2 + 70*z.
-5*z*(z - 7)*(z - 2)*(z - 1)
Solve 15*d**4/2 + 299*d**3/2 + 263*d**2/2 - 59*d/2 - 19 = 0 for d.
-19, -1, -1/3, 2/5
Factor 5*f**3/2 + 15*f**2/2 - 305*f/2 - 315/2.
5*(f - 7)*(f + 1)*(f + 9)/2
Factor -y**4 - 87*y**3 - 2604*y**2 - 29008*y - 65856.
-(y + 3)*(y + 28)**3
Factor -7*y**3 - 177*y**2 - 372*y - 92.
-(y + 2)*(y + 23)*(7*y + 2)
Let -2*v**3 - 35*v**2 + 18*v = 0. What is v?
-18, 0, 1/2
Find p such that 4*p**2 - 268*p - 272 = 0.
-1, 68
Factor 7*h**4 - 19*h**3 + 8*h**2 + 4*h.
h*(h - 2)*(h - 1)*(7*h + 2)
Determine z so that -64*z**3/7 - 8544*z**2/7 + 612*z - 536/7 = 0.
-134, 1/4
Find o, given that -o**3/5 + 18*o**2/5 - 12*o - 40 = 0.
-2, 10
Suppose -o**2 + 31*o - 30 = 0. What is o?
1, 30
Solve -2*x**5/5 - 18*x**4/5 - 42*x**3/5 + 34*x**2/5 + 204*x/5 + 144/5 = 0.
-4, -3, -1, 2
Factor -2*x**2 + 468*x - 928.
-2*(x - 232)*(x - 2)
Determine f, given that -2*f**2/5 - 10*f - 40 = 0.
-20, -5
Suppose -j**2/4 - 75*j/4 - 329 = 0. What is j?
-47, -28
Solve 15*f**3/7 + 9*f**2/7 - 9*f + 39/7 = 0 for f.
-13/5, 1
Find k, given that -4*k**4 - 364*k**3 + 368*k**2 = 0.
-92, 0, 1
Factor -4*d**5 - 2024*d**4/3 - 448*d**3.
-4*d**3*(d + 168)*(3*d + 2)/3
Factor -c**5/11 - 353*c**4/11 + 710*c**3/11.
-c**3*(c - 2)*(c + 355)/11
Let 3*c**2/7 - 1728*c + 1741824 = 0. What is c?
2016
Let -4*j**5 - 33*j**4 - 65*j**3 + 57*j**2 + 153*j - 108 = 0. What is j?
-4, -3, 3/4, 1
Factor 2*f**3/9 + 56*f**2/9 + 50*f/9 - 12.
2*(f - 1)*(f + 2)*(f + 27)/9
Factor -h**3/3 - 8*h**2/3 - 7*h - 6.
-(h + 2)*(h + 3)**2/3
Factor -s**4/8 - 321*s**3/2 - 309123*s**2/4 - 33076161*s/2 - 10617447681/8.
-(s + 321)**4/8
Solve -2*i**5/5 - 6*i**4/5 + 26*i**3/5 + 22*i**2/5 - 48*i/5 - 8 = 0 for i.
-5, -1, 2
Factor n**2/4 - 31*n/4 + 15/2.
(n - 30)*(n - 1)/4
Solve 6*j**4 + 8*j**3 - 98*j**2 + 60*j = 0 for j.
-