**2 + 218*k + 216 = 0. Calculate k.
-108, -1
Factor -128*v**3 - 416*v**2 - 370*v - 100.
-2*(v + 2)*(8*v + 5)**2
Factor -3*g**4/5 + 1056*g**3/5 + 1059*g**2/5.
-3*g**2*(g - 353)*(g + 1)/5
Factor -5*c**3/9 - 13*c**2/9 + 13*c/9 + 7/3.
-(c + 1)*(c + 3)*(5*c - 7)/9
Factor 4*m**2 - 428*m.
4*m*(m - 107)
Factor 3*k**3/5 + 333*k**2/5 + 12321*k/5 + 151959/5.
3*(k + 37)**3/5
Factor 2*q**2/7 - 1762*q/7 - 252.
2*(q - 882)*(q + 1)/7
Factor -4*n**4 + 24*n**3 + 144*n**2 - 344*n + 180.
-4*(n - 9)*(n - 1)**2*(n + 5)
Find b such that -10*b**3/7 + 346*b**2/7 - 200*b/7 - 136/7 = 0.
-2/5, 1, 34
Factor 2*t**2 - 164*t.
2*t*(t - 82)
Let 2*y**3/5 - 26*y**2/5 - 58*y/5 - 6 = 0. What is y?
-1, 15
Factor -3*b**4 + 33*b**3 + 75*b**2 + 39*b.
-3*b*(b - 13)*(b + 1)**2
What is m in -3*m**2/2 - 39*m - 72 = 0?
-24, -2
Find i such that 12*i**4/5 - 4*i**3/5 - 4*i**2 + 4*i/5 + 8/5 = 0.
-1, -2/3, 1
Factor -5*w**4 + 65*w**3 - 165*w**2 + 155*w - 50.
-5*(w - 10)*(w - 1)**3
Suppose -i**4 + 65*i**3 + 281*i**2 - 345*i = 0. What is i?
-5, 0, 1, 69
Factor 3*j**2/4 + 1095*j/2 - 2193/4.
3*(j - 1)*(j + 731)/4
Factor 16*r**3/3 - 12*r**2 + 8*r/3.
4*r*(r - 2)*(4*r - 1)/3
Factor -2*o**2 - 6*o + 8.
-2*(o - 1)*(o + 4)
Find o, given that o**5/2 - 4*o**3 + 3*o**2 + 7*o/2 - 3 = 0.
-3, -1, 1, 2
Suppose 12*h**3 - 15*h**2 - 21*h + 6 = 0. What is h?
-1, 1/4, 2
Factor 3*o**4 + 54*o**3 + 135*o**2.
3*o**2*(o + 3)*(o + 15)
Factor 2*v**2 + 8*v - 384.
2*(v - 12)*(v + 16)
Factor -3*v**3 - 3*v**2 + 27*v + 27.
-3*(v - 3)*(v + 1)*(v + 3)
Solve f**2 - 46*f + 529 = 0 for f.
23
Factor -2*j**2/19 + 2*j/19 + 40/19.
-2*(j - 5)*(j + 4)/19
Suppose -3*f**3/8 + 39*f**2/8 - 117*f/8 + 81/8 = 0. Calculate f.
1, 3, 9
Suppose -21*l**5 + 48*l**4 - 33*l**3 + 6*l**2 = 0. Calculate l.
0, 2/7, 1
Factor -2*p**2/9 - 340*p/9 - 14450/9.
-2*(p + 85)**2/9
Factor 2*l**4 - 104*l**3 + 1728*l**2 - 7776*l - 23328.
2*(l - 18)**3*(l + 2)
Factor 3*n**4 - 1626*n**3 + 218691*n**2 + 442272*n + 221952.
3*(n - 272)**2*(n + 1)**2
Let -2*i**3/13 - 30*i**2/13 + 578*i/13 + 150 = 0. What is i?
-25, -3, 13
Factor 2*d**2/7 - 24*d/7 + 22/7.
2*(d - 11)*(d - 1)/7
What is s in 3*s**2/4 - 16077*s/2 + 86156643/4 = 0?
5359
Factor -2*s**3 - 24*s**2 + 56*s.
-2*s*(s - 2)*(s + 14)
What is g in -9*g**5/5 + 984*g**4/5 - 25557*g**3/5 - 72918*g**2/5 - 65184*g/5 - 18816/5 = 0?
-1, -2/3, 56
Determine l, given that -4*l**5/3 + 176*l**4/3 - 496*l**3/3 + 152*l**2/3 + 500*l/3 - 328/3 = 0.
-1, 1, 2, 41
Factor -3*s**2/4 - 2742*s.
-3*s*(s + 3656)/4
Factor -f**3/3 - f**2/3 + 2*f.
-f*(f - 2)*(f + 3)/3
Factor -2*w**3/9 + 6*w**2.
-2*w**2*(w - 27)/9
Suppose g**4/6 - g**3/2 - 38*g**2/3 - 22*g = 0. What is g?
-6, -2, 0, 11
Let -4*s**3/5 - 16*s**2/5 + 4*s = 0. Calculate s.
-5, 0, 1
Factor -2*x**4 + 20*x**3 - 54*x**2 + 36*x.
-2*x*(x - 6)*(x - 3)*(x - 1)
Determine f so that 2*f**4/15 + 10*f**3 - 154*f**2/5 + 466*f/15 - 52/5 = 0.
-78, 1
Suppose 3*i**4 + 42*i**3 + 219*i**2 + 504*i + 432 = 0. What is i?
-4, -3
Solve 2*o**4 + 8*o**3 - 10*o**2 - 72*o - 72 = 0.
-3, -2, 3
Factor -2*f**2/7 - 18*f/7 - 16/7.
-2*(f + 1)*(f + 8)/7
Factor -195*h**2 - 522*h - 39.
-3*(5*h + 13)*(13*h + 1)
Let -h**4/8 - 8*h**3 - 407*h**2/8 - 55*h + 114 = 0. What is h?
-57, -4, 1
Factor 2*f**2/9 - 4894*f/9 + 4892/9.
2*(f - 2446)*(f - 1)/9
What is g in g**4 + 4*g**3 + 4*g**2 = 0?
-2, 0
Solve 3*h**4 + 33*h**3 + 72*h**2 - 108*h = 0 for h.
-6, 0, 1
Let -2*p**5 - 86*p**4 - 242*p**3 - 74*p**2 + 244*p + 160 = 0. Calculate p.
-40, -2, -1, 1
Factor o**2 - 46*o.
o*(o - 46)
Factor 3*u**2 - 69*u - 2772.
3*(u - 44)*(u + 21)
Factor 3*p**3 - 27*p**2 + 60*p - 36.
3*(p - 6)*(p - 2)*(p - 1)
Factor 2*v**3/19 - 96*v**2/19 + 1536*v/19 - 8192/19.
2*(v - 16)**3/19
What is z in -z**2/5 - 7*z/5 - 6/5 = 0?
-6, -1
Let -3*r**2 + 36*r + 84 = 0. What is r?
-2, 14
Find g such that g**3/2 + 9*g**2 + 51*g/2 - 35 = 0.
-14, -5, 1
Factor 165*o**4 - 160*o**3 - 5*o**2.
5*o**2*(o - 1)*(33*o + 1)
Factor -o**2/3 + 266*o/3 - 17689/3.
-(o - 133)**2/3
Factor 5*r**4 + 15*r**3 - 20*r.
5*r*(r - 1)*(r + 2)**2
Factor -h**2 - 64*h - 63.
-(h + 1)*(h + 63)
Determine g so that -g**2/4 + 110*g + 1329/4 = 0.
-3, 443
Suppose -2*r**3 - 234*r**2 - 684*r = 0. Calculate r.
-114, -3, 0
Suppose t**5 - 11*t**4 - 2*t**3 + 278*t**2 - 511*t + 245 = 0. Calculate t.
-5, 1, 7
Factor 18*m**5/5 - 156*m**4/5 + 482*m**3/5 - 624*m**2/5 + 288*m/5.
2*m*(m - 3)**2*(3*m - 4)**2/5
Factor -5*h**3 - 180*h**2 - 2160*h - 8640.
-5*(h + 12)**3
Find c such that -4*c**2 - 456*c - 1760 = 0.
-110, -4
Factor 5*b**3 - 385*b**2 - 1600*b - 1620.
5*(b - 81)*(b + 2)**2
Let -h**2 - 125*h - 124 = 0. Calculate h.
-124, -1
Factor 25*o**2/2 + 5*o/2 - 15.
5*(o - 1)*(5*o + 6)/2
Find y, given that -2*y**4 + 2*y**3 + 4*y**2 = 0.
-1, 0, 2
Factor 2*f**2/3 - 2*f + 4/3.
2*(f - 2)*(f - 1)/3
Suppose 24*f**2 + 570*f - 909 = 0. Calculate f.
-101/4, 3/2
Find k such that -10125*k**2 + 900*k - 20 = 0.
2/45
Let -5*b**4 - 5*b**3 + 10*b**2 = 0. Calculate b.
-2, 0, 1
Factor -3*u**4 - 24*u**3 + 27*u**2 + 324*u - 324.
-3*(u - 3)*(u - 1)*(u + 6)**2
Find j, given that 3*j**4/4 + 3*j**3/4 - 12*j**2 + 15*j = 0.
-5, 0, 2
What is v in 3*v**4 + 12*v**3 - 87*v**2 + 72*v = 0?
-8, 0, 1, 3
Factor -30*d**2 + 2079*d + 417.
-3*(2*d - 139)*(5*d + 1)
Solve r**4/4 - 3*r**3/4 - r**2/2 + 3*r - 2 = 0 for r.
-2, 1, 2
Factor 5*v**3 + 780*v**2 + 775*v.
5*v*(v + 1)*(v + 155)
Factor -2*j**3 - 32*j**2 + 38*j + 68.
-2*(j - 2)*(j + 1)*(j + 17)
Solve 3*t**3 - 48*t**2 - 3*t + 48 = 0 for t.
-1, 1, 16
Factor -b**3/2 + 3*b**2 + 13*b/2 - 21.
-(b - 7)*(b - 2)*(b + 3)/2
Determine a so that 2*a**3/9 - 16*a**2/3 - 62*a/9 + 100/3 = 0.
-3, 2, 25
Find b, given that -b**5 - 861*b**4/2 - 212*b**3 + 2587*b**2/2 + 1506*b + 430 = 0.
-430, -1, -1/2, 2
Solve -l**3/3 - 7*l**2/3 + 49*l/3 + 343/3 = 0.
-7, 7
Let 3*d**2 - 36*d + 33 = 0. What is d?
1, 11
Let -2*y**2/3 - 220*y/3 + 226 = 0. What is y?
-113, 3
Factor -5*y**4 - 40*y**3 + 125*y**2 + 820*y + 900.
-5*(y - 5)*(y + 2)**2*(y + 9)
Factor 5*p**4 + 30*p**3 - 1575*p**2.
5*p**2*(p - 15)*(p + 21)
Let -2*y**2/3 + 34*y/3 + 12 = 0. What is y?
-1, 18
Factor 4*i**2 + 472*i - 1952.
4*(i - 4)*(i + 122)
Suppose -3*o**2/7 - 54*o/7 + 345/7 = 0. What is o?
-23, 5
Factor -t**2 + 6*t + 16.
-(t - 8)*(t + 2)
Factor 2*a**3/11 + 6*a**2/11 - 144*a/11 - 648/11.
2*(a - 9)*(a + 6)**2/11
Solve 3*u**2 - 2049*u/4 - 513/4 = 0.
-1/4, 171
Let -t**5/5 - 68*t**4 - 5641*t**3 + 23870*t**2 + 16512*t - 532512/5 = 0. Calculate t.
-172, -2, 3
Factor d**5 - 22*d**3 + 24*d**2 + 45*d.
d*(d - 3)**2*(d + 1)*(d + 5)
Determine c so that -3*c**5 - 9*c**4 + 18*c**3 + 78*c**2 + 81*c + 27 = 0.
-3, -1, 3
Factor 2*l**3 + 14*l**2 + 32*l + 24.
2*(l + 2)**2*(l + 3)
Factor -2*q**2/11 - 152*q/11 - 296/11.
-2*(q + 2)*(q + 74)/11
Factor -v**4/4 + v**3/4 + 33*v**2/4 + 63*v/4.
-v*(v - 7)*(v + 3)**2/4
Determine s, given that 2*s**4/3 + 5*s**3/3 + s**2/3 - 2*s/3 = 0.
-2, -1, 0, 1/2
Suppose 4*g**5/3 - 8*g**4/3 - 20*g**3/3 + 8*g**2 = 0. What is g?
-2, 0, 1, 3
Find h such that h**4/7 + h**3 - 4*h**2 + 20*h/7 = 0.
-10, 0, 1, 2
Let 3*d**2 - 66*d = 0. Calculate d.
0, 22
Factor -4*r**4 + 56*r**3 + 12*r**2 - 176*r + 112.
-4*(r - 14)*(r - 1)**2*(r + 2)
Let -8*y**4/9 - 118*y**3/3 + 272*y**2/9 + 10*y = 0. What is y?
-45, -1/4, 0, 1
Find d, given that 2*d**3/9 - 8*d**2/3 + 10*d - 12 = 0.
3, 6
Solve -4*n**4/5 - 10*n**3 - 168*n**2/5 - 40*n - 64/5 = 0.
-8, -2, -1/2
Factor -l**2/5 + 1443*l/5 + 1444/5.
-(l - 1444)*(l + 1)/5
Factor -3*t**3/8 + 105*t**2/4 - 1875*t/8 + 1125/2.
-3*(t - 60)*(t - 5)**2/8
Determine o so that 5*o**5 - 210*o**4 + 1465*o**3 + 16020*o**2 + 17280*o - 34560 = 0.
-4, -3, 1, 24
Factor -4*q**2 + 888*q - 7668.
-4*(q - 213)*(q - 9)
Solve -5*a**4/4 - 65*a**3/4 - 105*a**2/4 + 65*a/4 + 55/2 = 0 for a.
-11, -2, -1, 1
What is k in -3*k**2 + 30*k - 63 = 0?
3, 7
Solve -8*d**5 - 28*d**4 + 20*d**3 + 16*d**2 = 0.
-4, -1/2, 0, 1
Factor -21*y**2/4 + 6*y + 45/4.
-3*(y + 1)*(7*y - 15)/4
Suppose 2*c**2/5 + 2554*c/5 - 2556/5 = 0. What is c?
-1278, 1
Factor n**4/4 - 111*n**3/4 + 537*n**2/4 - 745*n/4 + 159/2.
(n - 106)*(n - 3)*(n - 1)**2/4
Find n, given that -2*n**3/7 + 6*n**2/7 + 2*n/7 - 6/7 = 0.
-1, 1, 3
What is r in 126*r**3 + 2270*r**2/3 + 1138*r + 6 = 0?
-3, -1/189
Solve 4*o**4/5 - 3*o**3/5 - o**2 + 3*o/5 + 1/5 = 0 for o.
-1, -1/4, 1
Find d such that -2*d**3/5 + 16*d**2/5 - 6*d = 0.
0, 3, 5
Factor -k**2/3 - 67*k/3 - 