+ u**3 + 11*u**2 + 12*u + 4.
-(u - 2)*(u + 1)**3*(u + 2)
Factor 2*p**4/9 + 26*p**3/9 + 112*p**2/9 + 160*p/9.
2*p*(p + 4)**2*(p + 5)/9
Factor -4*m**2 + 140*m.
-4*m*(m - 35)
Factor -3*c**5/2 - 243*c**4/2 - 711*c**3/2 - 705*c**2/2 - 117*c.
-3*c*(c + 1)**3*(c + 78)/2
Factor 6*t**3/11 + 1020*t**2/11 - 282*t + 2076/11.
6*(t - 2)*(t - 1)*(t + 173)/11
Determine z so that -55*z**5 + 765*z**4 - 2510*z**3 + 3490*z**2 - 2235*z + 545 = 0.
1, 109/11
Factor 2*f**2/5 + 12*f/5 + 16/5.
2*(f + 2)*(f + 4)/5
Factor -4*p**3/3 - 460*p**2 + 924*p - 1388/3.
-4*(p - 1)**2*(p + 347)/3
Factor 5*v**2 + 8730*v + 26145.
5*(v + 3)*(v + 1743)
Factor -4*a**3/7 - 15*a**2/7 + 24*a/7 - 5/7.
-(a - 1)*(a + 5)*(4*a - 1)/7
Factor -2*r**2/5 - 116*r/5 + 438.
-2*(r - 15)*(r + 73)/5
Suppose -2*t**3/5 + 4*t**2 - 56*t/5 + 48/5 = 0. Calculate t.
2, 6
Factor 2*v**3/7 + 156*v**2/7 + 738*v/7 + 584/7.
2*(v + 1)*(v + 4)*(v + 73)/7
Factor -23*j**3 - 11*j**2 + 58*j - 24.
-(j - 1)*(j + 2)*(23*j - 12)
Find i, given that -3*i**4/2 + 192*i**3 + 387*i**2/2 = 0.
-1, 0, 129
Solve -15*u**4 - 50*u**3 - 15*u**2 + 60*u + 20 = 0 for u.
-2, -1/3, 1
Solve -6*m**2 + 1112*m + 744 = 0 for m.
-2/3, 186
Factor -2*j**3/5 + 34*j**2 - 164*j/5 - 336/5.
-2*(j - 84)*(j - 2)*(j + 1)/5
Suppose -o**3/5 + 9*o**2/5 - 14*o/5 = 0. Calculate o.
0, 2, 7
Factor -52*a**3 + 60*a**2 + 96*a - 16.
-4*(a - 2)*(a + 1)*(13*a - 2)
Factor 2*p**2/13 + 32*p/13 - 160/13.
2*(p - 4)*(p + 20)/13
Factor 1024*y**5 + 1152*y**4 - 16*y**3 - 122*y**2 + 21*y - 1.
(y + 1)*(2*y + 1)*(8*y - 1)**3
Solve -f**5 + 8*f**4 - 19*f**3 + 12*f**2 = 0.
0, 1, 3, 4
Suppose c**4 - 33*c**3 + 86*c**2 + 120*c = 0. Calculate c.
-1, 0, 4, 30
Factor p**4 + 175*p**3 - 177*p**2 - 175*p + 176.
(p - 1)**2*(p + 1)*(p + 176)
Factor b**2/3 - 1075*b/3 + 358.
(b - 1074)*(b - 1)/3
Factor i**4/2 + 34*i**3 - 35*i**2 - 34*i + 69/2.
(i - 1)**2*(i + 1)*(i + 69)/2
Factor 5*v**3 - 65*v**2 + 230*v - 240.
5*(v - 8)*(v - 3)*(v - 2)
Determine t so that -3*t**2/2 + 1374*t + 2751/2 = 0.
-1, 917
Factor -2*i**2/7 - 394*i/7 - 56.
-2*(i + 1)*(i + 196)/7
Let 3*k**5 + 15*k**4 + 6*k**3 - 24*k**2 = 0. What is k?
-4, -2, 0, 1
Suppose -40*z**2 - 12*z = 0. Calculate z.
-3/10, 0
Factor -2*w**3 + 7100*w**2 - 6301250*w.
-2*w*(w - 1775)**2
Factor r**4/7 - 282*r**3/7 + 2880*r**2 - 5600*r.
r*(r - 140)**2*(r - 2)/7
Suppose -4*m**3 + 80*m**2 + 4*m - 80 = 0. What is m?
-1, 1, 20
Solve 2*c**3 - 2*c**2 - 130*c - 126 = 0.
-7, -1, 9
Suppose -4*r**5/7 + 64*r**4/7 - 368*r**3/7 + 968*r**2/7 - 1164*r/7 + 72 = 0. Calculate r.
1, 2, 3, 7
Solve -100*d**4/9 - 220*d**3/3 + 1396*d**2/9 + 1012*d + 1008 = 0.
-7, -9/5, 4
Determine m, given that 35*m**2 + 2320*m + 660 = 0.
-66, -2/7
Factor -3*m**4 + 33*m**3 - 114*m**2 + 156*m - 72.
-3*(m - 6)*(m - 2)**2*(m - 1)
Factor 2*y**3/5 + 176*y**2/5 + 514*y/5 + 68.
2*(y + 1)*(y + 2)*(y + 85)/5
Solve -a**2 - 14*a + 51 = 0.
-17, 3
What is x in 3*x**4 + 237*x**3 - 21*x**2 - 1677*x - 1422 = 0?
-79, -2, -1, 3
What is d in 2*d**3/9 - 950*d**2/9 + 112336*d/9 + 113288/9 = 0?
-1, 238
Let 5*q**3 + 65*q**2 + 110*q = 0. Calculate q.
-11, -2, 0
Factor 2*i**5/3 - 256*i**4/3 - 520*i**3/3.
2*i**3*(i - 130)*(i + 2)/3
Find h, given that 4*h**4 + 28*h**3 + 68*h**2 + 68*h + 24 = 0.
-3, -2, -1
Factor -14*w**2 - 556*w + 160.
-2*(w + 40)*(7*w - 2)
Factor -2*w**3 + 408*w**2 - 810*w + 404.
-2*(w - 202)*(w - 1)**2
Suppose -3*y**3 + 1965*y**2 - 1956*y - 3924 = 0. What is y?
-1, 2, 654
Factor x**2 - 9.
(x - 3)*(x + 3)
Factor d**5/3 - 10*d**4/3 + 8*d**3 + 32*d**2/3 - 128*d/3.
d*(d - 4)**3*(d + 2)/3
Suppose 5*v**4/2 - 75*v**3/2 + 285*v**2/2 + 175*v/2 - 735 = 0. Calculate v.
-2, 3, 7
Factor -9*g**3/8 + 21*g**2/2 - 27*g/8.
-3*g*(g - 9)*(3*g - 1)/8
Factor 5*p**2 - 155*p - 330.
5*(p - 33)*(p + 2)
What is l in -2*l**3/3 - 2*l**2/3 + 4*l = 0?
-3, 0, 2
Find i such that 30*i**4/7 - 446*i**3/7 - 90*i**2/7 + 446*i/7 + 60/7 = 0.
-1, -2/15, 1, 15
Factor -3*i**4/2 - 39*i**3/2 - 45*i**2.
-3*i**2*(i + 3)*(i + 10)/2
Find x, given that 3*x**5 + 15*x**4 + 9*x**3 - 15*x**2 - 12*x = 0.
-4, -1, 0, 1
Let -o**2/6 + 4*o + 25/6 = 0. Calculate o.
-1, 25
Let 4*x**5 - 76*x**4 - 348*x**3 - 452*x**2 - 184*x = 0. What is x?
-2, -1, 0, 23
Solve -5*o**3 - 5*o**2 + 60*o = 0.
-4, 0, 3
Find f such that -2*f**4/19 - 180*f**3/19 - 168*f**2/19 + 884*f/19 - 534/19 = 0.
-89, -3, 1
Solve 15*i**5 - 235*i**4 - 930*i**3 + 20160*i**2 - 12960*i = 0 for i.
-9, 0, 2/3, 12
Factor -2*s**4/15 + 232*s**3/15 + 236*s**2/5 + 712*s/15 + 238/15.
-2*(s - 119)*(s + 1)**3/15
Factor w**3/4 + 109*w**2/4 - 221*w/4 + 111/4.
(w - 1)**2*(w + 111)/4
Let -3*q**5/4 - 15*q**4/2 - 63*q**3/4 = 0. What is q?
-7, -3, 0
Solve 6*h**5 + 86*h**4/3 - 146*h**3/3 - 62*h**2/3 + 128*h/3 - 8 = 0.
-6, -1, 2/9, 1
Let 5*q**5 + 160*q**4 + 390*q**3 - 1280*q**2 + 725*q = 0. What is q?
-29, -5, 0, 1
Factor b**3/5 + 356*b**2/5.
b**2*(b + 356)/5
Factor b**2 - 22*b + 117.
(b - 13)*(b - 9)
Determine b, given that 2*b**3/19 + 10*b**2/19 - 2*b/19 - 10/19 = 0.
-5, -1, 1
Solve -t**5/7 + 4*t**4/7 - 2*t**3/7 - 4*t**2/7 + 3*t/7 = 0.
-1, 0, 1, 3
Factor 2*b**5/7 + 16*b**4/7 - 12*b**3/7 - 16*b**2 - 134*b/7 - 48/7.
2*(b - 3)*(b + 1)**3*(b + 8)/7
What is x in -2*x**2/19 + 544*x/19 - 36992/19 = 0?
136
Determine s, given that -8192*s**5/5 - 37376*s**4/5 - 52064*s**3/5 - 21942*s**2/5 - 3672*s/5 - 216/5 = 0.
-2, -3/16
What is l in l**5/7 - 713*l**4/7 + 169930*l**3/7 - 13649778*l**2/7 + 26792613*l/7 - 13312053/7 = 0?
1, 237
Factor -4*k**4 - 28*k**3 - 40*k**2.
-4*k**2*(k + 2)*(k + 5)
Find g such that -g**3/2 - 22*g**2 - 85*g/2 - 21 = 0.
-42, -1
Determine k so that -4*k**4 + 112*k**3 - 213*k**2 + 131*k - 26 = 0.
1/2, 1, 26
Solve 2*i**2/7 - 26*i = 0 for i.
0, 91
Solve -61*a**5/6 + 20*a**4 + 2*a**3/3 - 61*a**2/3 + 19*a/2 + 1/3 = 0.
-1, -2/61, 1
Suppose 2*i**3 + 60*i**2 + 358*i - 420 = 0. What is i?
-21, -10, 1
Factor -3*w**5 - 30*w**4 - 111*w**3 - 180*w**2 - 108*w.
-3*w*(w + 2)**2*(w + 3)**2
Suppose -2*a**5/7 - 468*a**4/7 - 28746*a**3/7 - 160064*a**2/7 - 235752*a/7 - 103968/7 = 0. What is a?
-114, -4, -1
Find g such that 2*g**3/7 - 358*g**2/7 + 1060*g/7 - 704/7 = 0.
1, 2, 176
Solve 3*p**5 + 9*p**4 - 30*p**3 - 90*p**2 + 27*p + 81 = 0.
-3, -1, 1, 3
Factor -4*p**4/3 + 20*p**3 + 44*p**2 + 68*p/3.
-4*p*(p - 17)*(p + 1)**2/3
Determine q, given that 2*q**3/5 - 24*q**2 + 1674*q/5 + 3844/5 = 0.
-2, 31
Let -12*r**4 - 52*r**3 - 4*r**2 + 52*r + 16 = 0. Calculate r.
-4, -1, -1/3, 1
Factor v**2/4 - 3*v/2 - 91/4.
(v - 13)*(v + 7)/4
Solve -z**3/4 + 157*z**2/4 - 915*z/4 + 1359/4 = 0 for z.
3, 151
Factor -5*q**4 - 40*q**3 + 290*q**2 - 440*q + 195.
-5*(q - 3)*(q - 1)**2*(q + 13)
Determine f, given that 2*f**4/5 + 34*f**3/5 - 38*f**2/5 - 34*f/5 + 36/5 = 0.
-18, -1, 1
Factor -3*o**2/5 + 537*o/5 + 1086/5.
-3*(o - 181)*(o + 2)/5
Let -3*d**2 - 21*d - 36 = 0. What is d?
-4, -3
Find i such that -11*i**4/2 + 21*i**3 - 47*i**2/2 + 6*i + 2 = 0.
-2/11, 1, 2
Suppose x**5/7 - 15*x**4/7 + 23*x**3/7 + 303*x**2/7 - 108*x/7 - 972/7 = 0. Calculate x.
-3, -2, 2, 9
Factor 3*h**3 - 57*h**2 + 105*h - 51.
3*(h - 17)*(h - 1)**2
Solve n**4 - 67*n**3 = 0 for n.
0, 67
Factor -5*d**4 - 5*d**3 + 50*d**2 + 20*d - 120.
-5*(d - 2)**2*(d + 2)*(d + 3)
Factor -2*d**5 - 14*d**4 - 20*d**3 + 4*d**2 + 22*d + 10.
-2*(d - 1)*(d + 1)**3*(d + 5)
Factor 3*z**4/4 - 129*z**3/4 - 141*z**2.
3*z**2*(z - 47)*(z + 4)/4
Let -4*f**4/3 - 4*f**3/3 + 164*f**2/3 - 148*f + 96 = 0. What is f?
-8, 1, 3
Factor -12*x**4 + 52*x**3 - 52*x**2 + 12*x.
-4*x*(x - 3)*(x - 1)*(3*x - 1)
Factor 21*v**3/4 - 2103*v**2/2 + 52800*v - 15000.
3*(v - 100)**2*(7*v - 2)/4
Suppose 5*g**2 - 15*g + 10 = 0. What is g?
1, 2
Factor 25*t**3 + 15*t**2 - 25*t - 15.
5*(t - 1)*(t + 1)*(5*t + 3)
Factor -8*c**3 - 78*c**2 - 118*c - 48.
-2*(c + 1)*(c + 8)*(4*c + 3)
Let o**2/2 + 19*o + 96 = 0. Calculate o.
-32, -6
Factor -154*o**2/9 + 14780*o/9 + 128/3.
-2*(o - 96)*(77*o + 2)/9
What is b in -2*b**5 - 10*b**4 + 108*b**3 + 976*b**2 + 2624*b + 2304 = 0?
-4, -2, 9
Suppose 9*w**4 + 267*w**3 + 1245*w**2 - 12291*w - 8670 = 0. What is w?
-17, -2/3, 5
Factor 5*y**2 + 75*y - 80.
5*(y - 1)*(y + 16)
Find d such that -2*d**5/7 - 2*d**4 - 10*d**3/7 + 2*d**2 + 12*d/7 = 0.
-6, -1, 0, 1
Solve -4*v**2 - 2260*v - 2256 = 0 for v.
-564, -1
Factor u**2 - 44*u - 141.
(u - 47)*(u + 3)
Determine m, given that -m**5/7 - 3*m**4/7 + 22*m**3/7 - 38*m**2/7 + 27*m/7 - 1 = 0.
-7, 