nd x, given that -3*x**2 + 39*x + 204 = 0.
-4, 17
Find t, given that -8*t**3/5 + 154*t**2 - 18624*t/5 + 4608/5 = 0.
1/4, 48
Factor 3*t**4 + 1137*t**3 + 4515*t**2 + 5631*t + 2250.
3*(t + 1)**2*(t + 2)*(t + 375)
Solve -4*f**4 - 20*f**3 + 44*f**2 + 132*f + 72 = 0.
-6, -1, 3
Find v, given that v**3 + v**2 - v - 1 = 0.
-1, 1
Factor 4*j**4 + 136*j**3 - 140*j**2.
4*j**2*(j - 1)*(j + 35)
Suppose 3*a**2 - 33*a + 30 = 0. What is a?
1, 10
Factor 64*q**3/7 + 160*q**2/7 + 132*q/7 + 36/7.
4*(q + 1)*(4*q + 3)**2/7
Factor -3*b**3 + 12*b**2 + 240*b + 576.
-3*(b - 12)*(b + 4)**2
Solve 56*p**5/15 - 4334*p**4/15 + 1024*p**3/15 + 4334*p**2/15 - 72*p = 0.
-1, 0, 1/4, 1, 540/7
Solve 5*y**4/2 + 25*y**3 - 1435*y**2/2 + 2940*y = 0.
-24, 0, 7
Factor 3*b**5 + 27*b**4 + 21*b**3 - 27*b**2 - 24*b.
3*b*(b - 1)*(b + 1)**2*(b + 8)
Solve 55*k**5 - 1255*k**4 + 6700*k**3 - 11500*k**2 + 4720*k + 1280 = 0.
-2/11, 1, 2, 4, 16
Find x such that x**4/3 + 4*x**3 + 46*x**2/3 + 20*x + 25/3 = 0.
-5, -1
Factor 2*z**2/13 - 2/13.
2*(z - 1)*(z + 1)/13
Factor 3*i**4 + 150*i**3 + 828*i**2 + 1608*i + 1056.
3*(i + 2)**3*(i + 44)
Factor 2*o**3 - 12*o**2 + 18*o - 8.
2*(o - 4)*(o - 1)**2
Determine f so that 4*f**4 + 16*f**3 - 196*f**2 + 416*f - 240 = 0.
-10, 1, 2, 3
Solve -4*y**3 - 204*y**2 - 1116*y - 1620 = 0.
-45, -3
Factor 3*c**5 - 18*c**4 + 24*c**3 + 18*c**2 - 27*c.
3*c*(c - 3)**2*(c - 1)*(c + 1)
Determine p, given that 4*p**4 + 108*p**3 + 184*p**2 - 432*p - 800 = 0.
-25, -2, 2
Factor -2*v**4/11 + 4*v**3 - 42*v**2/11.
-2*v**2*(v - 21)*(v - 1)/11
Factor -2*t**3/9 + 278*t**2/9 - 92*t/3.
-2*t*(t - 138)*(t - 1)/9
Determine a, given that -2*a**4 - 30*a**3 - 150*a**2 - 250*a = 0.
-5, 0
Find n such that n**5/3 - 5*n**4/3 - 11*n**3 - 31*n**2/3 + 32*n/3 + 12 = 0.
-2, -1, 1, 9
Factor 27*c**3/5 - 423*c**2 + 40341*c/5 + 42483/5.
3*(c + 1)*(3*c - 119)**2/5
Let -2*p**3/5 + 10376*p**2/5 - 13457672*p/5 = 0. What is p?
0, 2594
Factor 2*i**4/3 - 74*i**3/3 - 8*i**2/3 + 296*i/3.
2*i*(i - 37)*(i - 2)*(i + 2)/3
Factor 20*l**3/3 + 175*l**2/3 - 245*l/3 + 50/3.
5*(l - 1)*(l + 10)*(4*l - 1)/3
Let 2*j**5/13 + 76*j**4/13 + 688*j**3/13 - 76*j**2/13 - 690*j/13 = 0. Calculate j.
-23, -15, -1, 0, 1
What is d in 2*d**2 + 60*d + 450 = 0?
-15
Suppose -2*l**5/11 + 2*l**4/11 + 18*l**3/11 - 10*l**2/11 - 32*l/11 + 24/11 = 0. Calculate l.
-2, 1, 3
Find d, given that -d**2 - 183*d + 184 = 0.
-184, 1
Suppose -o**2/2 + 556*o - 154568 = 0. What is o?
556
Solve 4*h**3/7 + 724*h**2/7 - 4*h/7 - 724/7 = 0 for h.
-181, -1, 1
Determine r, given that -4*r**3/3 - 1132*r**2/3 - 26884*r - 26508 = 0.
-141, -1
Solve -8*i**3 - 27*i**2 - 19*i = 0.
-19/8, -1, 0
Suppose k**4/10 + k**3 + 13*k**2/10 - 12*k/5 = 0. Calculate k.
-8, -3, 0, 1
Let 15*g**5 + 565*g**4 - 2365*g**3/3 - 305*g**2 + 2320*g/3 - 260 = 0. What is g?
-39, -1, 2/3, 1
Factor 2*m**3 - 3*m**2/2 - 25*m/2 - 3.
(m - 3)*(m + 2)*(4*m + 1)/2
Factor 4*o**2/3 - 172*o/3 + 160.
4*(o - 40)*(o - 3)/3
Solve -3*i**2 + 2139*i + 2142 = 0 for i.
-1, 714
What is a in 4*a**5 + 140*a**4 + 936*a**3 + 2008*a**2 + 1748*a + 540 = 0?
-27, -5, -1
Suppose 4*r**4/7 - 188*r**3/7 + 528*r**2/7 + 16*r/7 - 704/7 = 0. Calculate r.
-1, 2, 44
Suppose t**5 - 38*t**4 - 79*t**3 - 40*t**2 = 0. What is t?
-1, 0, 40
Factor i**2/3 - 682*i/3 + 679.
(i - 679)*(i - 3)/3
Factor -k**3 + 157*k**2 + 480*k.
-k*(k - 160)*(k + 3)
Determine m, given that -m**2 + 66*m - 1089 = 0.
33
Find h, given that -5*h**5 - 250*h**4 - 3910*h**3 - 16160*h**2 + 45075*h - 24750 = 0.
-22, -15, 1
Solve p**3 - 225*p**2 + 12543*p + 12769 = 0.
-1, 113
Solve v**5 + 2*v**4 - 2*v**2 - v = 0 for v.
-1, 0, 1
What is h in -h**2 - 774*h - 149769 = 0?
-387
Suppose -4*l**4 + 24*l**3 - 52*l**2 + 48*l - 16 = 0. What is l?
1, 2
Find x such that 5*x**2 - 80*x - 3885 = 0.
-21, 37
Factor -5*g**3 - 2670*g**2 - 475260*g - 28198760.
-5*(g + 178)**3
Factor 3*v**2 - 270*v + 6075.
3*(v - 45)**2
What is t in 6*t**3 - 15*t**2 + 6*t = 0?
0, 1/2, 2
What is b in -2*b**4/7 + 22*b**3/7 + 188*b**2/7 + 272*b/7 = 0?
-4, -2, 0, 17
Factor -4*l**3 - 556*l**2 - 19040*l + 19600.
-4*(l - 1)*(l + 70)**2
Factor q**2 + 130*q + 4225.
(q + 65)**2
Determine v, given that -2*v**4 - 22904*v**3 - 98361228*v**2 - 187738797176*v - 134374044078722 = 0.
-2863
Factor -3*c**3 + 6*c**2 - 3*c.
-3*c*(c - 1)**2
Let -20*d**5/3 - 305*d**4/3 - 355*d**3/3 - 70*d**2/3 = 0. What is d?
-14, -1, -1/4, 0
Let 2*v**5/3 + 4*v**4 - 62*v**3/3 - 616*v**2/3 - 480*v - 896/3 = 0. What is v?
-4, -1, 7
Factor g**4/7 - g**3 + 18*g**2/7 - 20*g/7 + 8/7.
(g - 2)**3*(g - 1)/7
Determine k, given that k**4/4 - 13*k**3 - 27*k**2/2 + 13*k + 53/4 = 0.
-1, 1, 53
Find m such that 5*m**3 - 65*m**2 - 70*m = 0.
-1, 0, 14
Factor 2*j**2/11 + 12*j/11 + 18/11.
2*(j + 3)**2/11
Solve -33*b**3/2 + 27*b**2/2 + 3*b = 0 for b.
-2/11, 0, 1
Determine l so that l**4/6 + 2*l**3/3 + l**2/3 - 2*l/3 - 1/2 = 0.
-3, -1, 1
Factor -y**4 - 1182*y**3 - 1181*y**2.
-y**2*(y + 1)*(y + 1181)
Solve f**3/4 - 7*f**2/4 - 36*f + 252 = 0.
-12, 7, 12
Factor -2*i**3/3 + 100*i**2/3 + 2494*i/3 - 44376.
-2*(i - 43)**2*(i + 36)/3
Factor -h**4/2 - 4*h**3 + 102*h**2 - 344*h + 320.
-(h - 8)*(h - 2)**2*(h + 20)/2
Solve -2*f**3 - 374*f**2 - 18382*f - 82810 = 0.
-91, -5
Determine y, given that 6*y**4/5 - 5*y**3 + 34*y**2/5 - 17*y/5 + 2/5 = 0.
1/6, 1, 2
Solve 4*v**5 + 20*v**4 - 28*v**3 - 20*v**2 + 24*v = 0.
-6, -1, 0, 1
Solve 14*g**5 + 60*g**4 - 82*g**3 - 168*g**2 - 40*g = 0 for g.
-5, -1, -2/7, 0, 2
Determine h, given that -h**4/7 - 73*h**3/7 - 68*h**2/7 + 292*h/7 + 288/7 = 0.
-72, -2, -1, 2
Factor v**2 - 160*v - 324.
(v - 162)*(v + 2)
Find v, given that 2*v**5/3 - 22*v**4/3 - 80*v**3/3 - 56*v**2/3 = 0.
-2, -1, 0, 14
Solve 2*p**2/3 + 11*p/2 + 4/3 = 0 for p.
-8, -1/4
Find g, given that -2*g**5/11 + 20*g**4/11 - 32*g**3/11 - 4*g**2/11 + 34*g/11 - 16/11 = 0.
-1, 1, 8
What is p in 5*p**3 - 115*p**2 + 590*p - 480 = 0?
1, 6, 16
Factor -6*z**3 - 2*z**2 + 4*z.
-2*z*(z + 1)*(3*z - 2)
Factor -11*z**3 - 19*z**2/4 - z/2.
-z*(4*z + 1)*(11*z + 2)/4
Let -3*z**5 + 62*z**4 + 23*z**3 - 42*z**2 = 0. Calculate z.
-1, 0, 2/3, 21
Solve 4*p**3 + 11*p**2 + 5*p - 2 = 0 for p.
-2, -1, 1/4
Factor 5*p**3 - 325*p**2 + 3040*p + 79420.
5*(p - 38)**2*(p + 11)
Let 2*i**5/11 + 78*i**4/11 + 76*i**3/11 = 0. What is i?
-38, -1, 0
Let -3*r**2/5 + 6*r/5 + 189/5 = 0. What is r?
-7, 9
Let -2*r**2 + 3162*r - 3160 = 0. Calculate r.
1, 1580
Solve 2*s**4/13 - 10*s**3/13 - 2*s**2/13 + 10*s/13 = 0 for s.
-1, 0, 1, 5
What is m in 3*m**2 - 372*m + 1440 = 0?
4, 120
Factor 2*t**3 + 4*t**2 - 42*t + 36.
2*(t - 3)*(t - 1)*(t + 6)
Factor -r**4/3 + 7*r**3 - 98*r**2/3.
-r**2*(r - 14)*(r - 7)/3
Factor -4*u**5 + 40*u**4 - 100*u**3.
-4*u**3*(u - 5)**2
Factor 3*w**5/2 + 13*w**4/2 - 73*w**3/2 + 111*w**2/2 - 35*w + 8.
(w - 1)**3*(w + 8)*(3*w - 2)/2
Let v**2/2 - 101*v + 10201/2 = 0. Calculate v.
101
Factor -5*q**2 - 50*q - 45.
-5*(q + 1)*(q + 9)
Factor 3*u**5 - 6*u**3 + 3*u.
3*u*(u - 1)**2*(u + 1)**2
Factor -4*j**4 - 56*j**3 - 292*j**2 - 672*j - 576.
-4*(j + 3)**2*(j + 4)**2
Factor -12*b**2/5 - 52*b/5.
-4*b*(3*b + 13)/5
Factor 4*j**4 + 12*j**3 - 16*j.
4*j*(j - 1)*(j + 2)**2
Factor -5*k**4 + 10*k**2 - 5.
-5*(k - 1)**2*(k + 1)**2
Factor 2*v**2/5 - 4*v/5.
2*v*(v - 2)/5
Find w such that -2*w**5/3 - w**4/2 + 17*w**3/6 + 2*w**2 - 2*w/3 = 0.
-2, -1, 0, 1/4, 2
Solve 16*d**3 + 72*d**2 - 399*d + 392 = 0.
-8, 7/4
Solve -3*l**4 - 3*l**3 + 15*l**2 - 9*l = 0.
-3, 0, 1
Factor l**3/2 - 29*l**2/2 + 111*l - 216.
(l - 18)*(l - 8)*(l - 3)/2
Let -3*f**3 - 312*f**2 - 303*f + 618 = 0. Calculate f.
-103, -2, 1
Factor -4*f**3 - 20*f**2 + 4*f + 20.
-4*(f - 1)*(f + 1)*(f + 5)
Factor -2*u**3/3 - 2*u**2 + 6*u - 10/3.
-2*(u - 1)**2*(u + 5)/3
Suppose -2*t**5/19 + 28*t**3/19 + 24*t**2/19 - 26*t/19 - 24/19 = 0. What is t?
-3, -1, 1, 4
Suppose 3*f**5 - 20*f**4 + 24*f**3 + 10*f**2 - 27*f + 10 = 0. Calculate f.
-1, 2/3, 1, 5
Factor 3*z**2 + 456*z.
3*z*(z + 152)
What is x in 2*x**2 + 22*x - 84 = 0?
-14, 3
Factor -5*c**3 + 1615*c**2.
-5*c**2*(c - 323)
Factor 3*y**5 - 516*y**4 - 1044*y**3.
3*y**3*(y - 174)*(y + 2)
Factor 3*m**2 - 5628*m.
3*m*(m - 1876)
Find g such that -2*g**2 + 5968*g - 4452128 = 0.
1492
Suppose 3*k**4/5 + 3*k**3/5 - 3*k**2/5 - 3*k/5 = 0. What is k?
-1, 0, 1
Determine y, given that 49*y**4/3 + 560*y**3/3 + 991*y**2/3 - 236*y + 36 = 0.
-9, -3, 2/7
Determine q, given that -2*q**2 +