**5 + 4*b**4 + 20*b**3 + 8*b**2 = 0.
-1, -1/2, 0, 2
Determine z, given that 602*z**2/5 - 594*z/5 - 8/5 = 0.
-4/301, 1
Factor 5*b**3 - 2450*b**2 - 5*b + 2450.
5*(b - 490)*(b - 1)*(b + 1)
Find x such that -36*x**4 - 24*x**3 + 44*x**2 + 16*x - 16 = 0.
-1, 2/3
Factor m**2 + 65*m + 244.
(m + 4)*(m + 61)
Find u, given that 4*u**2 - 16*u = 0.
0, 4
Factor -d**2 + 11*d - 30.
-(d - 6)*(d - 5)
Let -3*z**4 + 63*z**3 + 54*z**2 - 5628*z + 10584 = 0. Calculate z.
-9, 2, 14
Find r such that 2*r**5/15 - 4*r**4/5 - 4*r**3/15 + 8*r**2/5 + 2*r/15 - 4/5 = 0.
-1, 1, 6
Suppose z**3/4 - 2087*z**2/4 = 0. Calculate z.
0, 2087
Factor -21125*t**3 + 15275*t**2 + 5445*t + 405.
-5*(t - 1)*(65*t + 9)**2
Factor -3*u**2/2 + 66*u - 126.
-3*(u - 42)*(u - 2)/2
Factor -5*p**2 + 325*p + 330.
-5*(p - 66)*(p + 1)
Suppose 15*b**3 + 5*b**2 - 40*b + 20 = 0. Calculate b.
-2, 2/3, 1
Suppose -s**3/3 + 86*s**2/3 - 169*s/3 + 28 = 0. Calculate s.
1, 84
What is w in 5*w**3 - 95*w**2 + 495*w - 405 = 0?
1, 9
Let -2*j**2 + 2334*j/7 + 668/7 = 0. What is j?
-2/7, 167
Suppose 5*j**3 + 515*j**2 + 995*j - 1515 = 0. What is j?
-101, -3, 1
Factor 3*m**3 + 18*m**2 + 27*m.
3*m*(m + 3)**2
Solve 4*a**4 - 336*a**3 = 0 for a.
0, 84
Determine z, given that 9*z**2/4 + 269*z/6 - 10/3 = 0.
-20, 2/27
Find w such that 2*w**3 + 160*w**2 + 616*w + 608 = 0.
-76, -2
Factor 5*k**5 + 20*k**4 - 90*k**3 + 100*k**2 - 35*k.
5*k*(k - 1)**3*(k + 7)
Determine n so that -n**2/11 - 31*n/11 + 516/11 = 0.
-43, 12
Factor 3*t**4/5 - 61*t**3/5 - 71*t**2 + 25*t.
t*(t - 25)*(t + 5)*(3*t - 1)/5
Find v such that -13*v**3 - 20*v**2 - v + 6 = 0.
-1, 6/13
Factor -4*w**3 + 1368*w**2 - 115584*w - 236672.
-4*(w - 172)**2*(w + 2)
Let -4*m**4 + 48*m**3 - 124*m**2 - 192*m + 560 = 0. Calculate m.
-2, 2, 5, 7
Factor 5*w**2 - 12770*w + 8153645.
5*(w - 1277)**2
Suppose h**3/8 - 25*h**2/8 + 19*h - 16 = 0. What is h?
1, 8, 16
Suppose 3*n**4 + 21*n**3 - 198*n**2 + 444*n - 312 = 0. What is n?
-13, 2
Find s, given that -3*s**4 - 15*s**3/7 + 27*s**2/7 + 15*s/7 - 6/7 = 0.
-1, 2/7, 1
Suppose -15*o**5 - 324*o**4 - 1848*o**3 + 1602*o**2 + 25191*o - 10206 = 0. Calculate o.
-9, -7, 2/5, 3
Solve 2*n**5 + 34*n**4 + 188*n**3 + 352*n**2 - 64*n - 512 = 0 for n.
-8, -4, -2, 1
Solve -g**2/3 - 35*g/3 - 88 = 0.
-24, -11
Let 3*d**2 - 27*d + 24 = 0. Calculate d.
1, 8
Find h such that 3*h**5 + 9*h**4 - 6*h**3 - 18*h**2 + 3*h + 9 = 0.
-3, -1, 1
Suppose 5*i**5/2 - 15*i**4/2 + 15*i**3/2 - 5*i**2/2 = 0. What is i?
0, 1
Solve 3*c**2 - 24*c - 99 = 0 for c.
-3, 11
Find a such that -a**4/4 + 9*a**2/4 + a - 3 = 0.
-2, 1, 3
Factor -2*a**2/7 - 3440*a/7 - 1479200/7.
-2*(a + 860)**2/7
Factor -5*a**2 - 35*a + 390.
-5*(a - 6)*(a + 13)
Factor -j**3/2 - 2*j**2 + 6*j.
-j*(j - 2)*(j + 6)/2
Factor y**4/7 - 2*y**3/7 - 4*y**2/7 + 8*y/7.
y*(y - 2)**2*(y + 2)/7
Find w such that -25*w**4 + 4860*w**3 - 6715*w**2 - 7740*w + 3860 = 0.
-1, 2/5, 2, 193
Factor x**2/2 + 5*x - 132.
(x - 12)*(x + 22)/2
What is c in 2*c**2/3 + 10*c + 24 = 0?
-12, -3
Let -j**5/2 + 9*j**4/2 - 11*j**3 + 16*j = 0. What is j?
-1, 0, 2, 4
Factor -n**3 + 120*n**2 - 3828*n + 13456.
-(n - 58)**2*(n - 4)
Find j such that -14*j**4 + 60*j**3 + 208*j**2 - 960*j + 256 = 0.
-4, 2/7, 4
Factor -y**2/6 - 29*y/3 - 265/6.
-(y + 5)*(y + 53)/6
Let 2*n**5 + 14*n**4 - 54*n**3 + 58*n**2 - 20*n = 0. Calculate n.
-10, 0, 1
Factor 5*y**3 - 50*y**2 - 435*y - 720.
5*(y - 16)*(y + 3)**2
Factor 3*f**2 + 105*f + 102.
3*(f + 1)*(f + 34)
Suppose 45*u**4 + 305*u**3 + 605*u**2 + 255*u - 90 = 0. Calculate u.
-3, -1, 2/9
Let -2*x**5/17 - 20*x**4/17 - 52*x**3/17 - 16*x**2/17 + 54*x/17 + 36/17 = 0. Calculate x.
-6, -3, -1, 1
Factor -t**3/2 - t**2/2 + 25*t/2 + 25/2.
-(t - 5)*(t + 1)*(t + 5)/2
Factor h**3/2 + 21*h**2/2.
h**2*(h + 21)/2
What is j in -j**4/4 - 7*j**3/4 + 13*j**2 - 23*j + 12 = 0?
-12, 1, 2
Factor -4*w**2 + 868*w + 872.
-4*(w - 218)*(w + 1)
Factor -s**4/3 - 7*s**3/3 + 18*s**2 - 24*s.
-s*(s - 3)*(s - 2)*(s + 12)/3
Factor -3*r**3/5 - 15*r**2 - 504*r/5 - 432/5.
-3*(r + 1)*(r + 12)**2/5
Solve 14*w**3 + 36*w**2 - 158*w + 60 = 0.
-5, 3/7, 2
Determine i so that -5*i**4 - 10*i**3 + 35*i**2 + 40*i - 60 = 0.
-3, -2, 1, 2
Let 2*g**3/17 + 26*g**2/17 - 32*g/17 - 56/17 = 0. What is g?
-14, -1, 2
Factor 2*t**2/7 + 216*t/7 + 5832/7.
2*(t + 54)**2/7
Factor 906*u**2 + 903*u - 3.
3*(u + 1)*(302*u - 1)
Determine c, given that c**5/5 + c**4/5 - 18*c**3/5 - 52*c**2/5 - 8*c = 0.
-2, 0, 5
Factor 35*b**2 - 36*b + 1.
(b - 1)*(35*b - 1)
Factor x**2 - x - 20.
(x - 5)*(x + 4)
Determine g, given that -28*g**5 - 762*g**4 - 2230*g**3 - 1680*g**2 + 8*g + 192 = 0.
-24, -2, -1, -1/2, 2/7
What is z in 2*z**4/5 - 76*z**3 + 17272*z**2/5 + 74108*z/5 + 56454/5 = 0?
-3, -1, 97
Determine l so that 2*l**2/13 + 100*l/13 + 1250/13 = 0.
-25
Solve 7*x**5/2 + x**4 - 49*x**3/2 - 28*x**2 - 6*x = 0.
-2, -1, -2/7, 0, 3
Factor 2*w**4/5 + 14*w**3/5 + 28*w**2/5 + 16*w/5.
2*w*(w + 1)*(w + 2)*(w + 4)/5
Find p such that -p**5 - 10*p**4 + 28*p**3 + 46*p**2 - 27*p - 36 = 0.
-12, -1, 1, 3
Factor -4*x**5/5 - 12*x**4/5 - 8*x**3/5 + 8*x**2/5 + 12*x/5 + 4/5.
-4*(x - 1)*(x + 1)**4/5
Solve c**2/2 + 83*c/2 + 81 = 0 for c.
-81, -2
Let t**5/5 - 3*t**4/5 + 2*t**3/5 + 2*t**2/5 - 3*t/5 + 1/5 = 0. What is t?
-1, 1
Let 10*r**3 - 428*r**2/13 - 192*r/13 = 0. Calculate r.
-2/5, 0, 48/13
Factor 3920*q**2 + 280*q + 5.
5*(28*q + 1)**2
Solve q**5/8 + q**4/8 - 7*q**3/4 - 3*q**2 = 0.
-3, -2, 0, 4
Suppose 305045*p**3 - 270465*p**2 - 33600*p - 980 = 0. What is p?
-14/247, 1
Solve s**2/3 + 167*s/3 = 0 for s.
-167, 0
Factor -5*s**5 + 65*s**4 - 335*s**3 + 855*s**2 - 1080*s + 540.
-5*(s - 3)**3*(s - 2)**2
Factor 2*t**2/3 + 14*t/3 + 20/3.
2*(t + 2)*(t + 5)/3
Find l, given that l**4 + 5*l**3 - 8*l**2 - 12*l = 0.
-6, -1, 0, 2
Suppose -3*z**4 - 6*z**3 + 165*z**2 + 600*z = 0. What is z?
-5, 0, 8
Determine z, given that -4*z**5 + 212*z**4 - 204*z**3 - 212*z**2 + 208*z = 0.
-1, 0, 1, 52
Let 65*x**3 - 67*x**2 - 128*x + 4 = 0. Calculate x.
-1, 2/65, 2
Factor n**2 + 6074*n + 9223369.
(n + 3037)**2
What is b in 2*b**2 + 10100*b + 10098 = 0?
-5049, -1
Factor t**3 - 962*t**2.
t**2*(t - 962)
Find b such that 3*b**5 + 3*b**4 - 6*b**3 - 6*b**2 + 3*b + 3 = 0.
-1, 1
Factor c**3 + 15*c**2 + 68*c + 84.
(c + 2)*(c + 6)*(c + 7)
Determine u so that 12*u**3 - 145*u**2 - 756*u + 64 = 0.
-4, 1/12, 16
Factor -3*u**4 - 36*u**3 + 1026*u**2 - 4956*u + 3969.
-3*(u - 7)**2*(u - 1)*(u + 27)
Suppose -2*b**5/13 - 16*b**4/13 - 38*b**3/13 - 16*b**2/13 + 40*b/13 + 32/13 = 0. What is b?
-4, -2, -1, 1
Suppose -225*l**3/4 - 195*l**2/4 + 29*l/4 - 1/4 = 0. Calculate l.
-1, 1/15
Find d, given that 17*d**4 + 133*d**3/2 - 57*d**2 - 603*d/2 + 27 = 0.
-3, 3/34, 2
Let 14*z**3 - 24*z**2 - 120*z - 32 = 0. Calculate z.
-2, -2/7, 4
Factor -4*x**3 + 248*x**2 - 3200*x + 11776.
-4*(x - 46)*(x - 8)**2
Find c such that -954962*c**2 - 2764*c - 2 = 0.
-1/691
Solve -4*f**3 - 28*f**2 - 16*f + 48 = 0 for f.
-6, -2, 1
Factor 2*y**5/11 + 16*y**4/11 + 26*y**3/11 + 12*y**2/11.
2*y**2*(y + 1)**2*(y + 6)/11
Factor -o**2 - 81*o - 80.
-(o + 1)*(o + 80)
Factor -2*x**2 - 324*x - 13122.
-2*(x + 81)**2
Determine f so that 3*f**2 + 3*f = 0.
-1, 0
Solve 15*o**5 + 13240*o**4 + 2912775*o**3 - 3911690*o**2 - 967980*o + 1953640 = 0 for o.
-442, -2/3, 1
Find o such that -4*o**3 + 1728*o**2 - 5148*o = 0.
0, 3, 429
Determine q so that 5*q**2 - 16520*q + 13645520 = 0.
1652
Suppose -3*t**5 + 42*t**4 - 135*t**3 + 156*t**2 - 60*t = 0. What is t?
0, 1, 2, 10
Determine w so that 2*w**2/9 + 1534*w/9 - 512/3 = 0.
-768, 1
Solve -4*l**4 + 16*l**3 - 16*l**2 = 0.
0, 2
Factor 5*d**3 + 140*d**2 + 425*d - 8670.
5*(d - 6)*(d + 17)**2
Factor 4*m**3 - 2736*m**2 + 623808*m - 47409408.
4*(m - 228)**3
Determine b, given that 2*b**5 + 44*b**4 + 34*b**3 - 176*b**2 - 168*b = 0.
-21, -2, -1, 0, 2
Solve -3*g**5/4 + 6*g**4 + 93*g**3/4 + 33*g**2/2 = 0 for g.
-2, -1, 0, 11
What is u in -u**3 - 10*u**2 + 63*u + 648 = 0?
-9, 8
Factor 4*z**2 - 48*z + 144.
4*(z - 6)**2
Solve 4*a**3 + 60*a**2 - 484*a + 420 = 0 for a.
-21, 1, 5
Factor 4*n**2/7 + 632*n/7 + 628/7.
4*(n + 1)*(n + 157)/7
Solve -x**2 + 6*x - 8 = 0.
2, 4
Factor 9*f**4 - 42*f**3 + 48*f**2 - 6*f - 9.
3*(f - 3)*(f - 1)**2*(3*f + 1)
Determine t so that -4*t**2 + 9680*t + 9684 = 0.
-1, 2421
Factor 5*u**5 - 25*u**4 - 45*u**3 + 65*u**2 + 140*u + 60.
5*(u - 6)*(u - 2)*(u + 1)**3
Determine q, given that