 - 3)/5
Factor -4*c**3 + 28*c**2 + 4*c - 28.
-4*(c - 7)*(c - 1)*(c + 1)
Let 4*k**4/5 + 12*k**3/5 - 16*k/5 = 0. Calculate k.
-2, 0, 1
Factor -2*y**3/11 - 146*y**2/11 + 298*y/11 - 150/11.
-2*(y - 1)**2*(y + 75)/11
Factor -g**2/4 - 34*g + 69.
-(g - 2)*(g + 138)/4
Factor a**5 - 6*a**4 + 9*a**3 + 4*a**2 - 12*a.
a*(a - 3)*(a - 2)**2*(a + 1)
Suppose 3*c**4/5 - 8*c**3 + 77*c**2/5 + 44*c + 20 = 0. Calculate c.
-1, -2/3, 5, 10
Factor 4*j**3 + 320*j**2 + 6992*j + 23104.
4*(j + 4)*(j + 38)**2
Suppose j**2/2 + 33*j/2 + 31 = 0. Calculate j.
-31, -2
Factor 2*w**5 + 6*w**4 + 4*w**3.
2*w**3*(w + 1)*(w + 2)
Factor -v**3/2 + 3*v**2 - 3*v/2 - 5.
-(v - 5)*(v - 2)*(v + 1)/2
Factor -720*l**2 - 9480*l - 31205.
-5*(12*l + 79)**2
Factor -b**3/8 + 5*b**2/2 - 25*b/2.
-b*(b - 10)**2/8
Let 2*h**3/5 - 26*h**2 + 104*h/5 + 1536/5 = 0. Calculate h.
-3, 4, 64
Suppose -2*l**5 + 16*l**4 + 8*l**3 - 64*l**2 = 0. What is l?
-2, 0, 2, 8
Suppose -2*u**5 - 16*u**4 + 20*u**3 + 160*u**2 - 18*u - 144 = 0. What is u?
-8, -3, -1, 1, 3
Solve 2*u**4 - 14*u**3 - 6*u**2 + 110*u + 100 = 0 for u.
-2, -1, 5
Determine x, given that -x**4/7 + 37*x**3/7 + 117*x**2/7 + 17*x + 40/7 = 0.
-1, 40
Factor z**5/4 - 11*z**3/4 + 9*z**2/2 - 2*z.
z*(z - 2)*(z - 1)**2*(z + 4)/4
Find x such that x**3 + 365*x**2 + 33488*x + 33124 = 0.
-182, -1
What is u in 2*u**2 - 106*u + 644 = 0?
7, 46
Suppose -c**2 + 3316*c - 2748964 = 0. What is c?
1658
Factor -q**5/2 - 7*q**4 - 61*q**3/2 - 42*q**2 - 18*q.
-q*(q + 1)**2*(q + 6)**2/2
Factor j**3 - 93*j**2 + 183*j - 91.
(j - 91)*(j - 1)**2
Determine x, given that -32*x**4 + 1744*x**3 - 24162*x**2 + 11756*x - 1456 = 0.
1/4, 26, 28
Solve u**4/3 + 17*u**3 + 797*u**2/3 + 1015*u - 3234 = 0 for u.
-21, -11, 2
Factor -5*d**2 + 110*d - 105.
-5*(d - 21)*(d - 1)
Factor -2*o**2/7 - 15916*o/7 - 31664882/7.
-2*(o + 3979)**2/7
Factor 5*y**5 - 410*y**4 - 415*y**3.
5*y**3*(y - 83)*(y + 1)
Factor x**4 - 128*x**3 + 6072*x**2 - 126464*x + 976144.
(x - 38)**2*(x - 26)**2
Suppose 3*h**3 + 15*h**2 - 216*h + 432 = 0. Calculate h.
-12, 3, 4
Factor -5*j**5 + 50*j**4 - 195*j**3 + 370*j**2 - 340*j + 120.
-5*(j - 3)*(j - 2)**3*(j - 1)
Find j such that -2*j**2/7 - 6*j/7 + 20 = 0.
-10, 7
Factor f**4/3 - 33*f**3 + 765*f**2 + 2601*f.
f*(f - 51)**2*(f + 3)/3
Factor -o**2/5 - 31*o/5 + 102/5.
-(o - 3)*(o + 34)/5
Factor -5*g**5 - 100*g**4 - 340*g**3 - 320*g**2.
-5*g**2*(g + 2)**2*(g + 16)
Factor 39*n**3 - 153*n**2 + 24*n + 252.
3*(n - 3)*(n - 2)*(13*n + 14)
Find a, given that -6*a**4/5 - 68*a**3/5 + 134*a**2/5 + 52*a/5 = 0.
-13, -1/3, 0, 2
Factor -10*f**5 - 25*f**4 - 20*f**3 - 5*f**2.
-5*f**2*(f + 1)**2*(2*f + 1)
Find i, given that -4*i**3 + 56*i**2 - 96*i = 0.
0, 2, 12
Factor -2*b**3 + 40*b**2 - 134*b + 96.
-2*(b - 16)*(b - 3)*(b - 1)
Factor 56*j**4 - 149*j**3 + 80*j**2 - 12*j.
j*(j - 2)*(7*j - 2)*(8*j - 3)
Suppose 2*h**2 - 8*h = 0. What is h?
0, 4
Factor -2*o**2/11 - 56*o/11 - 104/11.
-2*(o + 2)*(o + 26)/11
Factor 3*u**4 - 3*u**3.
3*u**3*(u - 1)
Determine j, given that -130*j**4/3 + 44*j**3 + 128*j**2/3 - 44*j + 2/3 = 0.
-1, 1/65, 1
Solve n**3 - 6*n**2 + 3*n + 10 = 0.
-1, 2, 5
Factor 3*i**2 + 5361*i.
3*i*(i + 1787)
Factor 3*s**3 + 3027*s**2 + 759000*s - 2304324.
3*(s - 3)*(s + 506)**2
Factor p**2 + 1201*p - 1202.
(p - 1)*(p + 1202)
Let -3*b**2 + 96*b = 0. What is b?
0, 32
Find a such that 3*a**3/4 - 33*a**2/4 + 57*a/4 - 27/4 = 0.
1, 9
Factor 3*s**5 + 9*s**4 - 3*s**3 - 33*s**2 - 36*s - 12.
3*(s - 2)*(s + 1)**3*(s + 2)
Find g such that -3*g**4 - 60*g**3 + 207*g**2 - 12*g - 276 = 0.
-23, -1, 2
Solve 4*d**2 + 108*d + 200 = 0 for d.
-25, -2
Let -2*y**3/15 + 76*y**2 - 14440*y + 2743600/3 = 0. Calculate y.
190
Solve -3*u**3 + 1680*u**2 = 0 for u.
0, 560
Factor 2*c**4/19 - 784*c**3/19 + 77612*c**2/19 - 152880*c/19 + 76050/19.
2*(c - 195)**2*(c - 1)**2/19
Suppose m**2 - 304*m - 2177 = 0. Calculate m.
-7, 311
Factor 5*p**2 + 25*p - 70.
5*(p - 2)*(p + 7)
Suppose q**4 - 26*q**3/3 + 49*q**2/3 + 38*q/3 - 40/3 = 0. Calculate q.
-1, 2/3, 4, 5
Factor 2*l**4/7 + 2*l**3/7 - 6*l**2/7 - 2*l/7 + 4/7.
2*(l - 1)**2*(l + 1)*(l + 2)/7
Factor -a**2 + 2*a + 63.
-(a - 9)*(a + 7)
What is m in -2*m**5 - 118*m**4 + 244*m**3 - 4*m**2 - 242*m + 122 = 0?
-61, -1, 1
Find v such that 245*v**5/3 + 84*v**4 - 400*v**3/3 + 48*v**2 - 16*v/3 = 0.
-2, 0, 2/7, 2/5
Factor -s**3/2 + s**2 - s/2.
-s*(s - 1)**2/2
Factor -r**3/7 + 3*r**2 + 46*r/7.
-r*(r - 23)*(r + 2)/7
Factor -2*r**2/7 + 704*r/7.
-2*r*(r - 352)/7
Factor b**3/2 - 29*b**2/2 + 94*b - 80.
(b - 20)*(b - 8)*(b - 1)/2
Factor -4*b**5 + 16*b**3.
-4*b**3*(b - 2)*(b + 2)
Solve 2*a**2 + 270*a - 272 = 0 for a.
-136, 1
Solve 3*i**2/8 + 27*i/4 - 729/8 = 0 for i.
-27, 9
Determine y so that 6*y**4/7 - 6*y**3/7 - 12*y**2/7 = 0.
-1, 0, 2
Factor 4*t**4 + 44*t**3 + 132*t**2 + 20*t - 200.
4*(t - 1)*(t + 2)*(t + 5)**2
Let -3*k**4 + 84*k**3 + 372*k**2 + 384*k = 0. Calculate k.
-2, 0, 32
Let -2*y**2 + 20*y - 32 = 0. Calculate y.
2, 8
Let 20*p**4 + 105*p**3 - 1295*p**2 - 330*p = 0. What is p?
-11, -1/4, 0, 6
Find j such that 2*j**4 - 8*j**3 + 10*j**2 - 4*j = 0.
0, 1, 2
Factor x**3/4 + 457*x**2/4.
x**2*(x + 457)/4
Suppose 2*b**5/3 + 20*b**4/3 - 52*b**3/3 - 104*b**2 + 102*b + 396 = 0. Calculate b.
-11, -3, -2, 3
Suppose -j**3/3 - 5*j**2/6 - j/3 = 0. Calculate j.
-2, -1/2, 0
Factor -a**3/3 - 4*a**2/3 + 11*a/3 + 10.
-(a - 3)*(a + 2)*(a + 5)/3
Factor -3*n**5/4 + 21*n**4/4 - 45*n**3/4 + 39*n**2/4 - 3*n.
-3*n*(n - 4)*(n - 1)**3/4
Solve h**3 - 7*h**2 + 15*h - 9 = 0 for h.
1, 3
Factor a**3/5 - 31*a**2/5 + 108*a/5.
a*(a - 27)*(a - 4)/5
Factor 5*b**4/3 - 8*b**3/3 + b**2/3 + 2*b/3.
b*(b - 1)**2*(5*b + 2)/3
Factor 3*s**3/5 + 48*s**2 + 960*s.
3*s*(s + 40)**2/5
Factor -b**3 + 5*b**2 + 4*b - 20.
-(b - 5)*(b - 2)*(b + 2)
Suppose -21*y**5 - 2175*y**4 - 1236*y**3 = 0. What is y?
-103, -4/7, 0
Determine h so that -h**2/4 + 11*h/2 - 21/4 = 0.
1, 21
Factor s**2/4 - 171*s/4 + 169/2.
(s - 169)*(s - 2)/4
Solve -2*j**5 - 40*j**4 - 36*j**3 + 1768*j**2 - 1690*j = 0.
-13, 0, 1, 5
Determine n, given that 5*n**4/3 + 355*n**3/3 - 730*n**2/3 = 0.
-73, 0, 2
Factor -2*s**4/11 + 10*s**3/11 - 16*s**2/11 + 8*s/11.
-2*s*(s - 2)**2*(s - 1)/11
Let 5*v**4 + 20*v**3 - 65*v**2 - 20*v + 60 = 0. What is v?
-6, -1, 1, 2
Solve d**3/4 + 3*d**2/2 + 9*d/4 = 0.
-3, 0
Factor 5*n**3 + 70*n**2 + 55*n - 130.
5*(n - 1)*(n + 2)*(n + 13)
Factor 4*d**2 - 584*d + 21316.
4*(d - 73)**2
Solve -5*l**2 + 100*l - 320 = 0 for l.
4, 16
Determine p, given that p**3 + 4*p**2 - 21*p = 0.
-7, 0, 3
Factor 3*j**3/5 + 1858*j**2 + 7195104*j/5 + 4792608/5.
(j + 1548)**2*(3*j + 2)/5
Find q, given that -q**3 + 38*q**2 = 0.
0, 38
Let 4*u**2 - 16*u = 0. Calculate u.
0, 4
Suppose 4*r**3 + 19868*r**2 + 39724*r + 19860 = 0. What is r?
-4965, -1
Factor q**2/3 - 469*q/3 - 472.
(q - 472)*(q + 3)/3
Factor o**3/2 - o**2.
o**2*(o - 2)/2
Determine f, given that -2*f**4/9 + 8*f**3/3 + 52*f**2 - 360*f - 4050 = 0.
-9, 15
Factor -2*t**3/3 - 34*t**2/3 - 50*t - 66.
-2*(t + 3)**2*(t + 11)/3
Determine y, given that -3*y**4 - 90*y**3 + 504*y**2 - 726*y + 315 = 0.
-35, 1, 3
Let 2*t**4/11 - 38*t**3/11 + 234*t**2/11 - 54*t + 540/11 = 0. Calculate t.
3, 10
Solve -r**3/7 + 10950*r**2/7 - 39967500*r/7 + 48627125000/7 = 0 for r.
3650
Factor 3*h**4 - 177*h**3 - 741*h**2 - 939*h - 378.
3*(h - 63)*(h + 1)**2*(h + 2)
Factor -y**4/3 + 152*y**3/3 - 1925*y**2 - 152*y/3 + 5776/3.
-(y - 76)**2*(y - 1)*(y + 1)/3
Let -4*a**5/3 + 8*a**4/3 + 28*a**3/3 + 16*a**2/3 = 0. What is a?
-1, 0, 4
Let 3*s**5/5 - 8*s**4 + 139*s**3/5 + 66*s**2/5 - 684*s/5 + 216/5 = 0. Calculate s.
-2, 1/3, 3, 6
Factor l**3/6 - 34*l**2/3 + 22*l.
l*(l - 66)*(l - 2)/6
Determine g, given that 3*g**4/7 - 48*g**3 + 1344*g**2 = 0.
0, 56
Let 5*q**3/3 + 6*q**2 - 113*q/3 + 14 = 0. Calculate q.
-7, 2/5, 3
Factor -2*d**5/5 - 8*d**4/5 + 52*d**3/5 - 88*d**2/5 + 62*d/5 - 16/5.
-2*(d - 1)**4*(d + 8)/5
Find p, given that p**4 + 18*p**3 - 40*p**2 = 0.
-20, 0, 2
What is n in -3*n**4/5 + 99*n**3/5 - 54*n**2 - 12*n/5 + 72 = 0?
-1, 2, 30
Factor -4*q**4 - 56*q**3 + 204*q**2.
-4*q**2*(q - 3)*(q + 17)
Suppose 2*c**4/5 - 8*c**3/5 - 26*c**2/5 + 8*c/5 + 24/5 = 0. What is c?
-2, -1, 1, 6
Factor 2*j**4 + 16*j**3 - 6*j**2 - 44*j + 32.
2*(j - 1)**2*(j + 2)*(j + 8)
Factor 2*n**3/15 - 66*n**2/5 + 320*n + 1000/3.
2*(n - 50)**2*(n + 1)/15
Factor -4*l**2 + 256*l - 4096.
-4*(l - 32)**2
Factor d**4 - 9