**3 - 282*a**2 - 855*a.
a*(a - 285)*(a + 3)
Solve 4*f**2 + 5840*f + 2131600 = 0 for f.
-730
Factor 3*x**2 + 60*x.
3*x*(x + 20)
Let -4*f**4 - 116*f**3 - 924*f**2 + 484*f + 21296 = 0. What is f?
-11, 4
Find d, given that -5*d**5 + 45*d**4 - 115*d**3 + 15*d**2 + 180*d = 0.
-1, 0, 3, 4
Find l, given that -4*l**5 - 124*l**4 - 1128*l**3 - 4536*l**2 - 8532*l - 6156 = 0.
-19, -3
What is i in 245*i**4 - 7245*i**3 + 10940*i**2 - 4500*i + 560 = 0?
2/7, 1, 28
Factor p**3/5 + 7*p**2/5 - 369*p/5 + 405.
(p - 9)**2*(p + 25)/5
Factor -2*i**3/5 + 12*i**2/5 + 2*i/5 - 12/5.
-2*(i - 6)*(i - 1)*(i + 1)/5
Solve -p**5 - 11*p**4/4 - p**3/4 + 13*p**2/4 + 5*p/4 - 1/2 = 0 for p.
-2, -1, 1/4, 1
Determine q so that 4*q**3 + 41*q**2 + 72*q = 0.
-8, -9/4, 0
Factor 4*m**4/3 - 8*m**3/3 + 8*m/3 - 4/3.
4*(m - 1)**3*(m + 1)/3
What is m in m**3/4 - 15*m**2/4 - 4*m = 0?
-1, 0, 16
Factor -8*i**5/5 + 702*i**4/5 + 176*i**3/5.
-2*i**3*(i - 88)*(4*i + 1)/5
Factor -2*h**4/3 - 178*h**3/3 - 176*h**2/3.
-2*h**2*(h + 1)*(h + 88)/3
Factor -d**2/6 + 12*d - 335/6.
-(d - 67)*(d - 5)/6
Determine w so that 21*w**5/4 + 93*w**4/2 + 207*w**3/2 + 84*w**2 + 69*w/4 - 9/2 = 0.
-6, -1, 1/7
Determine l, given that -2*l**2 - 106*l - 104 = 0.
-52, -1
Factor -4*m**3/7 + 4*m**2/7 + 64*m/7 - 64/7.
-4*(m - 4)*(m - 1)*(m + 4)/7
Factor 2*n**4/7 + 536*n**3/7 + 35372*n**2/7 - 72360*n/7 + 36450/7.
2*(n - 1)**2*(n + 135)**2/7
Factor 4*f**3 - 72*f**2 - 4*f + 72.
4*(f - 18)*(f - 1)*(f + 1)
Determine x so that -x**4/4 - 13*x**3/2 - 32*x**2 - 40*x = 0.
-20, -4, -2, 0
Solve -10*o**5/17 - 146*o**4/17 - 210*o**3/17 - 22*o**2/17 + 52*o/17 = 0.
-13, -1, 0, 2/5
Factor 3*j**2/8 - 351*j/2 - 1407/8.
3*(j - 469)*(j + 1)/8
Factor 5*j**2 - 36050*j + 64980125.
5*(j - 3605)**2
Factor 9*g**2/4 - 1569*g - 1047.
3*(g - 698)*(3*g + 2)/4
Factor 4*m**2 - 2832*m.
4*m*(m - 708)
Factor 3*j**5 + 1392*j**4 + 162855*j**3 + 320166*j**2.
3*j**2*(j + 2)*(j + 231)**2
Factor 2*x**4/15 + 68*x**3/5 - 206*x**2/15.
2*x**2*(x - 1)*(x + 103)/15
Determine g, given that -24*g**5 - 28*g**4 + 16*g**3 + 28*g**2 + 8*g = 0.
-1, -2/3, -1/2, 0, 1
Factor 5*x**2 + 2210*x.
5*x*(x + 442)
Factor -f**5/2 - 99*f**4 - 6427*f**3 - 129176*f**2 + 1036959*f/2 + 1503815.
-(f - 5)*(f + 2)*(f + 67)**3/2
Factor -2*c**4 + 8*c**3 - 4*c**2 - 8*c + 6.
-2*(c - 3)*(c - 1)**2*(c + 1)
Factor 2*m**3 - 607*m**2/2 - 76*m.
m*(m - 152)*(4*m + 1)/2
Let 5*z**3 - 75*z**2 - 920*z = 0. What is z?
-8, 0, 23
Suppose -k**3/2 + 3*k/2 - 1 = 0. Calculate k.
-2, 1
Factor -4*z**3/9 + 8*z**2/3 + 4*z/9 - 40/3.
-4*(z - 5)*(z - 3)*(z + 2)/9
Factor -2*m**4 - 70*m**3 - 796*m**2 - 3080*m - 2352.
-2*(m + 1)*(m + 6)*(m + 14)**2
Determine r, given that -2*r**4/5 + 8*r**3/5 - 4*r**2/5 - 8*r/5 + 6/5 = 0.
-1, 1, 3
Factor 18*r**4 - 66*r**3 - 34*r**2 + 42*r - 8.
2*(r - 4)*(r + 1)*(3*r - 1)**2
Factor 2*y**4 - 18*y**3 + 50*y**2 - 54*y + 20.
2*(y - 5)*(y - 2)*(y - 1)**2
Factor x**3/4 - x.
x*(x - 2)*(x + 2)/4
Determine l so that -3*l**2/5 - 34*l - 167/5 = 0.
-167/3, -1
Find l, given that 2*l**5/3 - 40*l**4/3 + 44*l**3 + 944*l**2/3 - 2134*l/3 - 968 = 0.
-4, -1, 3, 11
What is q in 2*q**2/5 - 18*q/5 - 36 = 0?
-6, 15
Let 4*n**2 + 60*n - 216 = 0. What is n?
-18, 3
Factor -4*g**3/3 - 36*g**2 - 180*g - 252.
-4*(g + 3)**2*(g + 21)/3
Determine c so that 2*c**4/13 - 940*c**3/13 + 109506*c**2/13 + 221840*c/13 + 111392/13 = 0.
-1, 236
Factor k**3/4 - 75*k**2/4 + 177*k/2 - 70.
(k - 70)*(k - 4)*(k - 1)/4
Suppose -2*z**4 + 12*z**3 - 24*z**2 + 20*z - 6 = 0. What is z?
1, 3
Determine u so that -u**3 + 98*u**2 + 99*u = 0.
-1, 0, 99
Suppose -84*w**5/5 + 87*w**4/5 + 234*w**3/5 - 93*w**2/5 - 24*w + 36/5 = 0. Calculate w.
-1, 2/7, 3/4, 2
Determine z so that z**4 + 185*z**3 - 1137*z**2 + 1715*z - 764 = 0.
-191, 1, 4
Solve -a**5 - 7*a**4 + 39*a**3 + 63*a**2 - 270*a = 0.
-10, -3, 0, 3
Find p such that 4*p**3 + 1168*p**2 = 0.
-292, 0
Factor 4*i**2 - 48*i - 112.
4*(i - 14)*(i + 2)
Suppose 9*q**5 - 33*q**4 + 15*q**3 + 9*q**2 = 0. Calculate q.
-1/3, 0, 1, 3
Suppose -s**3/6 + 401*s**2 - 321602*s + 257924804/3 = 0. Calculate s.
802
Factor -4*g**2 - 960*g - 956.
-4*(g + 1)*(g + 239)
Let g**4/4 - 2*g**3 - 75*g**2/4 - 61*g/2 - 14 = 0. What is g?
-4, -1, 14
Factor 5*s**3 + 225*s**2 + 970*s - 1200.
5*(s - 1)*(s + 6)*(s + 40)
What is q in -5*q**3 + 1350*q**2 - 92460*q + 179560 = 0?
2, 134
Suppose -i**2/5 - 269*i/5 + 54 = 0. What is i?
-270, 1
Determine w so that 5*w**4 - 35*w**3 - 5*w**2 + 35*w = 0.
-1, 0, 1, 7
Determine s, given that 4*s**2/7 + 80*s/7 = 0.
-20, 0
Factor -3*a**2 + 5712*a - 2718912.
-3*(a - 952)**2
Factor -4*g**4 - 4*g**3 + 192*g**2 - 320*g - 512.
-4*(g - 4)**2*(g + 1)*(g + 8)
Solve -2*k**2 - 82*k + 84 = 0 for k.
-42, 1
Solve -3*j**4/4 + 45*j**3/4 - 99*j**2/2 + 60*j = 0.
0, 2, 5, 8
Let 3*m**5/4 - 45*m**4/4 + 147*m**3/4 - 171*m**2/4 + 33*m/2 = 0. What is m?
0, 1, 2, 11
Suppose x**5 + 21*x**4 - 45*x**3 + 23*x**2 = 0. What is x?
-23, 0, 1
Determine n so that -5*n**2/6 - 1163*n/6 + 233/3 = 0.
-233, 2/5
Factor c**2/6 + c/2.
c*(c + 3)/6
Factor -3*s**3 + 30*s**2 - 9*s - 162.
-3*(s - 9)*(s - 3)*(s + 2)
Factor d**2/2 + 7*d/2 + 5.
(d + 2)*(d + 5)/2
What is p in 3*p**3/2 - 111*p**2/2 + 156*p - 102 = 0?
1, 2, 34
Find v such that -27*v**2/2 + 63*v - 147/2 = 0.
7/3
Find m, given that -6*m**2 - 2624*m - 874 = 0.
-437, -1/3
Find o such that o**4 + 18*o**3 + 17*o**2 = 0.
-17, -1, 0
Factor -12*m**3 + 340*m**2 - 2464*m + 784.
-4*(m - 14)**2*(3*m - 1)
Solve 3*v**2 - 300*v + 1152 = 0 for v.
4, 96
Suppose 2*z**4/5 - 1012*z**3/5 + 129026*z**2/5 - 255024*z/5 + 127008/5 = 0. Calculate z.
1, 252
Factor 5*a**2 - 300*a + 295.
5*(a - 59)*(a - 1)
Solve -2*k**4/21 + 6*k**3/7 + 4*k**2 - 128*k/21 - 64/7 = 0.
-4, -1, 2, 12
Factor -2*r**5 - 98*r**4 + 636*r**3 - 1304*r**2 + 880*r.
-2*r*(r - 2)**3*(r + 55)
Suppose -x**2/5 + 528*x/5 - 69696/5 = 0. What is x?
264
Let -30*g**4/7 - 1892*g**3/7 - 114*g**2/7 + 108*g = 0. Calculate g.
-63, -2/3, 0, 3/5
Find y such that -5*y**5/4 + 35*y**4/4 + 205*y**3/4 + 185*y**2/4 - 50*y - 55 = 0.
-2, -1, 1, 11
Factor 3*i**5/2 - 15*i**4/2 + 12*i**3 - 6*i**2.
3*i**2*(i - 2)**2*(i - 1)/2
Factor 3*u**4/4 + 15*u**3/4 - 9*u**2/4 - 135*u/4 - 81/2.
3*(u - 3)*(u + 2)*(u + 3)**2/4
Determine k, given that -36*k**3/11 + 30*k**2/11 + 6*k/11 = 0.
-1/6, 0, 1
What is u in -2*u**4/23 - 2*u**3/23 + 12*u**2/23 = 0?
-3, 0, 2
Determine m so that -392245882*m**3/17 - 4050732*m**2/17 - 13944*m/17 - 16/17 = 0.
-2/581
Factor -3*a**4 + 24*a**3 + 3*a**2 - 24*a.
-3*a*(a - 8)*(a - 1)*(a + 1)
What is d in 3*d**5/4 + 21*d**4/4 + 9*d**3/2 = 0?
-6, -1, 0
Solve 3*z**3/7 + 6*z**2/7 = 0.
-2, 0
Factor -d**2 + 188*d - 8836.
-(d - 94)**2
Factor -3*t**3/4 + 153*t**2/4 + 159*t/2.
-3*t*(t - 53)*(t + 2)/4
Factor 2*x**4 + 6*x**3 + 6*x**2 + 2*x.
2*x*(x + 1)**3
Let r**4/3 - 299*r**3/3 - 301*r**2/3 + 299*r/3 + 100 = 0. Calculate r.
-1, 1, 300
Factor -t**2/4 + 135*t - 539/4.
-(t - 539)*(t - 1)/4
Factor -j**5/3 - 103*j**4/3 + 105*j**3 - 317*j**2/3 + 106*j/3.
-j*(j - 1)**3*(j + 106)/3
Factor b**3/2 + 59*b**2 - 735*b/2 + 558.
(b - 3)**2*(b + 124)/2
Find g, given that 612*g**5 - 996*g**4 + 164*g**3 + 212*g**2 + 8*g = 0.
-1/3, -2/51, 0, 1
Suppose -244*k**3 + 1472*k**2 - 1268*k + 40 = 0. What is k?
2/61, 1, 5
Factor -3*n**2 + 18*n - 15.
-3*(n - 5)*(n - 1)
Solve -5*o**2/4 - 575*o/2 - 66125/4 = 0 for o.
-115
Find r, given that -2*r**4/11 - 4*r**3/11 + 14*r**2/11 + 16*r/11 - 24/11 = 0.
-3, -2, 1, 2
Factor 15*o**4 - 35*o**3 + 25*o**2 - 5*o.
5*o*(o - 1)**2*(3*o - 1)
Factor w**3/7 - 413*w**2 + 2090915*w/7 - 2088025/7.
(w - 1445)**2*(w - 1)/7
Let -f**5/3 - 12*f**4 + 77*f**3/3 + 12*f**2 - 76*f/3 = 0. Calculate f.
-38, -1, 0, 1, 2
Factor 3*a**5/8 + 21*a**4/8 + 15*a**3/4.
3*a**3*(a + 2)*(a + 5)/8
Factor -36*p**3 - 91432*p**2 - 58044080*p + 12903200.
-4*(p + 1270)**2*(9*p - 2)
Factor -4*i**4 - 692*i**3 - 41580*i**2 - 955900*i - 5324000.
-4*(i + 8)*(i + 55)**3
Factor -3*t**2/8 + 123*t/4 - 60.
-3*(t - 80)*(t - 2)/8
Factor -4*u**2 + 788*u + 3216.
-4*(u - 201)*(u + 4)
Factor 4*s**2 + 26176*s + 42823936.
4*(s + 3272)**2
What is s in 2*s**2 + 132*s = 0?
-66, 0
Factor k**3/6 - 7*k**2/6.
k**2*(k - 7)/6
Factor -2*h**3/11 - 16*h**2/11 - 40*h/11 - 32/11.
-2*(h + 2)**2*(h + 4)/11
What is h in 4*h**4/7 - 24*h**3/7 - 48*h**2/7 + 32*h + 384/7 = 0?
-2, 4, 6
Factor g**3/4 + 841*g**2.
g**2*(g + 3364)/4
Let 2*y**5/17 - 20*y**4/17 +