 12*p**3 - 3*p**2 - 12*p.
3*p*(p - 1)*(p + 1)*(p + 4)
Factor 2*s**3/3 - 58*s**2/3 + 416*s/3 - 120.
2*(s - 18)*(s - 10)*(s - 1)/3
Suppose -10*y**5 - 13*y**4 - 2*y**3 + y**2 = 0. What is y?
-1, -1/2, 0, 1/5
Factor -3*i**5 + 6*i**4 - 3*i**3.
-3*i**3*(i - 1)**2
Solve 3*g**2/5 + 99*g = 0 for g.
-165, 0
Find o, given that 4*o**2 + 256*o + 252 = 0.
-63, -1
Determine i so that 2*i**2 + 940*i - 942 = 0.
-471, 1
Factor 3*v**2/2 + 162*v + 4374.
3*(v + 54)**2/2
Factor 2*i**3/3 - 6*i**2 - 144*i - 504.
2*(i - 21)*(i + 6)**2/3
Determine x, given that -x**4 + 17*x**3 + 57*x**2 + 59*x + 20 = 0.
-1, 20
Factor 4*t**2 - 80*t - 384.
4*(t - 24)*(t + 4)
Solve -3*d**5/2 - 45*d**4/4 + 111*d**3/2 + 741*d**2/4 + 45*d - 75 = 0 for d.
-10, -2, -1, 1/2, 5
Factor 2*v**4 - 280*v**3/3 + 1048*v**2/3 - 1024*v/3.
2*v*(v - 2)**2*(3*v - 128)/3
What is k in 160*k**5 + 496*k**4/3 + 88*k**3/3 - 44*k**2/3 - 4*k = 0?
-1/2, -1/3, 0, 3/10
Let 2*b**5/11 - 450*b**4/11 + 1332*b**3/11 + 8*b**2/11 - 1776*b/11 = 0. Calculate b.
-1, 0, 2, 222
Factor -5*x**2 - 80*x - 75.
-5*(x + 1)*(x + 15)
Solve -t**3/4 - 69*t**2/4 - 1287*t/4 - 3267/4 = 0 for t.
-33, -3
Factor -2*v**4 + 46*v**3 - 180*v**2 - 2200*v + 14000.
-2*(v - 10)**3*(v + 7)
Factor -c**5 - 12*c**4 + 76*c**3 + 192*c**2.
-c**2*(c - 6)*(c + 2)*(c + 16)
Solve -3*n**5/4 - 57*n**4/2 - 213*n**3/2 - 156*n**2 - 411*n/4 - 51/2 = 0 for n.
-34, -1
Find x such that 2*x**2 + 19616*x + 48098432 = 0.
-4904
Factor -2*m**4/5 - 12*m**3/5 + 64*m/5.
-2*m*(m - 2)*(m + 4)**2/5
Factor 2*y**3/5 + 271*y**2/5 + 134*y/5 - 27.
(y + 1)*(y + 135)*(2*y - 1)/5
Solve -2*u**4 - 24*u**3 - 40*u**2 = 0.
-10, -2, 0
Let 3*n**2 - 228*n + 225 = 0. Calculate n.
1, 75
Factor -z**2/4 - 87*z/2 + 88.
-(z - 2)*(z + 176)/4
Factor 3*i**3/2 + 39*i**2/2 - 6*i - 78.
3*(i - 2)*(i + 2)*(i + 13)/2
Factor -2*c**5/5 + 6*c**4 + 32*c**3/5.
-2*c**3*(c - 16)*(c + 1)/5
Find z such that 2*z**4 + 14*z**3 + 10*z**2 - 14*z - 12 = 0.
-6, -1, 1
Suppose -4*h**5 + 4*h**4 + 20*h**3 - 20*h**2 - 16*h + 16 = 0. What is h?
-2, -1, 1, 2
What is t in -10*t**4/7 + 1098*t**3/7 + 190*t**2 + 222*t/7 = 0?
-1, -1/5, 0, 111
Determine h so that 4*h**5/7 - 8*h**4 - 124*h**3/7 - 64*h**2/7 = 0.
-1, 0, 16
Factor -y**3/5 + y**2 + 33*y/5 + 27/5.
-(y - 9)*(y + 1)*(y + 3)/5
Let -q**5/4 + 3*q**4/2 + q**3/4 - 3*q**2/2 = 0. Calculate q.
-1, 0, 1, 6
Factor p**3/6 - 23*p**2/6 + 31*p/3 - 20/3.
(p - 20)*(p - 2)*(p - 1)/6
Factor -z**2/6 + 1/6.
-(z - 1)*(z + 1)/6
Factor n**4 - 114*n**3 + 552*n**2 - 766*n + 327.
(n - 109)*(n - 3)*(n - 1)**2
Find t, given that 5*t**3 + 15*t**2 - 20 = 0.
-2, 1
Factor 5*k**2 + 50*k.
5*k*(k + 10)
Factor 2*s**2/11 - 5834*s/11.
2*s*(s - 2917)/11
Let 2*d**5/3 - 14*d**4/3 - 10*d**3/3 + 142*d**2/3 + 80*d/3 - 200/3 = 0. Calculate d.
-2, 1, 5
Factor s**2/6 + 1151*s/3 + 1324801/6.
(s + 1151)**2/6
What is p in 2*p**5/7 + 16*p**4/7 + 4*p**3 - 16*p**2/7 - 30*p/7 = 0?
-5, -3, -1, 0, 1
Factor -2*o**4 - 144*o**3 - 2590*o**2 + 144*o + 2592.
-2*(o - 1)*(o + 1)*(o + 36)**2
Suppose -d**5/10 - 3*d**4 - 53*d**3/10 + 46*d**2/5 + 114*d/5 + 56/5 = 0. What is d?
-28, -2, -1, 2
Factor -5*c**4 + 10*c**3 - 10*c + 5.
-5*(c - 1)**3*(c + 1)
Find f such that -4*f**3 - 112*f**2 = 0.
-28, 0
Suppose 3*h**4 + 60*h**3 - 81*h**2 - 378*h = 0. What is h?
-21, -2, 0, 3
Factor 5*p**2 + 3660*p + 669780.
5*(p + 366)**2
Suppose 25*z**5 + 615*z**4 + 5560*z**3 + 22320*z**2 + 37120*z + 15360 = 0. Calculate z.
-8, -4, -3/5
Find s, given that 175*s**3 + 2530*s**2 - 4240*s + 1280 = 0.
-16, 2/5, 8/7
Factor 3*k**4 - 165*k**3 + 1425*k**2 - 3375*k.
3*k*(k - 45)*(k - 5)**2
Find g such that 2*g**2 - 46*g/5 - 56/5 = 0.
-1, 28/5
Find i such that -3*i**4 + 24*i**3 - 384*i + 768 = 0.
-4, 4
Find q, given that -4*q**2 + 4456*q - 1240996 = 0.
557
Let -d**4 + 37*d**3 - 441*d**2 + 1755*d - 1350 = 0. Calculate d.
1, 6, 15
Factor -2*c**3 + 48*c**2 - 234*c + 324.
-2*(c - 18)*(c - 3)**2
What is n in -46*n**2/7 - 692*n/7 - 30/7 = 0?
-15, -1/23
Factor -m**3/7 - 732*m**2/7 - 178608*m/7 - 14526784/7.
-(m + 244)**3/7
Factor -4*s**2/7 + 4656*s/7 - 1354896/7.
-4*(s - 582)**2/7
Factor -b**4 - 6*b**3 - 11*b**2 - 6*b.
-b*(b + 1)*(b + 2)*(b + 3)
Find u, given that 50*u**5 + 880*u**4/7 + 48*u**3 - 64*u**2/7 - 32*u/7 = 0.
-2, -2/5, 0, 2/7
Let -b**2 + 300*b - 22500 = 0. What is b?
150
Factor -3*s**2/7 - 18*s/7 + 48/7.
-3*(s - 2)*(s + 8)/7
Factor -4*u**4 - 592*u**3 - 21900*u**2 + 592*u + 21904.
-4*(u - 1)*(u + 1)*(u + 74)**2
Factor 5*r**3/8 + 563*r**2/8 - 172*r + 115/2.
(r - 2)*(r + 115)*(5*r - 2)/8
Factor -4*t**3 + 24*t**2 + 396*t - 416.
-4*(t - 13)*(t - 1)*(t + 8)
Determine k so that 4*k**5/3 + 23*k**4/3 + 2*k**3 - 43*k**2/3 + 10*k/3 = 0.
-5, -2, 0, 1/4, 1
What is x in -3*x**3/7 + 549*x**2/7 - 3627*x + 3549 = 0?
1, 91
Determine y so that 2*y**3 + 32*y**2 + 58*y + 28 = 0.
-14, -1
Let -3*i**4 - 30*i**3 - 24*i**2 + 30*i + 27 = 0. Calculate i.
-9, -1, 1
Factor -4*b**2/7 - 1280*b/7.
-4*b*(b + 320)/7
Determine i so that -2*i**3/13 + 16*i**2/13 + 38*i/13 + 20/13 = 0.
-1, 10
Factor 3*p**2 + 165*p + 1242.
3*(p + 9)*(p + 46)
Let 45*o**4 - 1389*o**3 + 9894*o**2 + 12864*o + 1536 = 0. Calculate o.
-1, -2/15, 16
What is x in 9*x**3/2 - 51*x**2/4 + 27*x/4 + 3/2 = 0?
-1/6, 1, 2
Factor -5*a**3/6 - 8795*a**2 - 30940810*a - 108849769580/3.
-5*(a + 3518)**3/6
Let l**4/2 - 64*l**3/3 - 251*l**2/2 - 123*l + 144 = 0. What is l?
-3, 2/3, 48
Factor -3*x**2/7 + 5928*x/7 - 5925/7.
-3*(x - 1975)*(x - 1)/7
Solve 5*c**2/4 + 13*c/4 - 3/2 = 0.
-3, 2/5
Find l, given that 5*l**5 + 25*l**4 + 15*l**3 - 25*l**2 - 20*l = 0.
-4, -1, 0, 1
What is b in 2*b**5 - 88*b**4 + 168*b**3 + 4*b**2 - 170*b + 84 = 0?
-1, 1, 42
Factor 2*z**3/13 + 8*z**2/13 - 6*z/13 - 36/13.
2*(z - 2)*(z + 3)**2/13
Factor -2*u**2 + 376*u - 17672.
-2*(u - 94)**2
Factor 3*a**2 + 1548*a + 199692.
3*(a + 258)**2
Factor -p**4 + 15*p**3 + 73*p**2 + 57*p.
-p*(p - 19)*(p + 1)*(p + 3)
Factor 10*a**2/7 - 419*a/7 - 6.
(a - 42)*(10*a + 1)/7
Factor -3*j**4 + 576*j**3 - 24618*j**2 - 290880*j - 765075.
-3*(j - 101)**2*(j + 5)**2
Factor t**3/4 - t**2 + 3*t/4.
t*(t - 3)*(t - 1)/4
Factor -20*n**3 + 172*n**2 - 88*n - 64.
-4*(n - 8)*(n - 1)*(5*n + 2)
Determine g, given that g**5/9 - 2*g**4/9 - g**3/9 + 2*g**2/9 = 0.
-1, 0, 1, 2
Find p such that p**3/4 + 3*p**2/4 - 13*p/4 - 15/4 = 0.
-5, -1, 3
Solve -35*m**2 - 2600*m - 740 = 0.
-74, -2/7
Let v**3/7 - 4*v**2/7 - 11*v/7 - 6/7 = 0. What is v?
-1, 6
Factor 4*b**5 - 40*b**4 + 116*b**3 - 128*b**2 + 48*b.
4*b*(b - 6)*(b - 2)*(b - 1)**2
Solve i**3 - 2473*i**2 + 1530168*i - 1527696 = 0 for i.
1, 1236
Solve -716*o**4/7 - 2140*o**3/7 - 2124*o**2/7 - 692*o/7 + 8/7 = 0 for o.
-1, 2/179
Suppose 4*f**4 - 48*f**3 - 112*f**2 = 0. Calculate f.
-2, 0, 14
What is b in 2*b**3 - 42*b**2 + 208*b = 0?
0, 8, 13
Factor s**3 + 2448*s**2 + 1997568*s + 543338496.
(s + 816)**3
Suppose -2*t**3/3 - 130*t**2/3 - 1904*t/3 + 2312 = 0. Calculate t.
-34, 3
Determine y, given that -14*y**2 - 472*y + 136 = 0.
-34, 2/7
Factor 5*q**4 - 15*q**3.
5*q**3*(q - 3)
What is p in 3*p**2 + 1836*p/5 + 732/5 = 0?
-122, -2/5
Find w, given that 5*w**4/4 + 605*w**3/4 - 615*w**2/4 - 605*w/4 + 305/2 = 0.
-122, -1, 1
Factor -20*y**2/3 + 119*y/6 + 1/2.
-(y - 3)*(40*y + 1)/6
Factor f**3/4 - 19*f**2/2 + 425*f/4 - 289.
(f - 17)**2*(f - 4)/4
Let -8*q**4 - 102*q**3 - 158*q**2 - 42*q + 22 = 0. Calculate q.
-11, -1, 1/4
Factor 3*j**5/7 - 3*j**4/7 - 3*j**3/7 + 3*j**2/7.
3*j**2*(j - 1)**2*(j + 1)/7
Determine g so that 2*g**2/9 + 1370*g/9 + 152 = 0.
-684, -1
Factor -a**2/3 + 9*a + 270.
-(a - 45)*(a + 18)/3
Let 2*j**2 + 304*j + 11552 = 0. What is j?
-76
Find o such that 3*o**4 + 30*o**3 + 87*o**2 + 96*o + 36 = 0.
-6, -2, -1
Factor r**5/3 - 8*r**4/3 - 10*r**3/3 + 8*r**2/3 + 3*r.
r*(r - 9)*(r - 1)*(r + 1)**2/3
Factor 9*p**5 + 21*p**4 - 102*p**3 + 90*p**2 - 3*p - 15.
3*(p - 1)**3*(p + 5)*(3*p + 1)
Find q such that -q**2/2 + 177*q/2 + 362 = 0.
-4, 181
Factor -2*z**2/7 + 6*z/7 - 4/7.
-2*(z - 2)*(z - 1)/7
Determine s so that s**4/5 - 308*s**3/5 + 24018*s**2/5 - 9180*s - 70227/5 = 0.
-1, 3, 153
Suppose 4*q**5 - 544*q**4 - 7616*q**3 - 19544*q**2 - 18436*q - 5960 = 0. What is q?
-10, -1, 149
Factor -7*g**3/2 + 271*g**2/2 - 94*g - 38.
-(g - 38)*(g - 1)*(7*g + 2)/2
Factor -4*p**4 + 28*p**3 - 68*p**2 + 68*p - 24.
-4*(p - 3)*(p - 2)*(p - 1)**2
Factor -p**2 + 26*p + 27.
-(p - 27)*(p + 1)
Solve -f**3/4 + 179*f**2