**2*(s - 2)**2*(s - 1)
Factor 3*x**3 + 393*x**2 - 798*x.
3*x*(x - 2)*(x + 133)
Factor -2*q**3/9 + 50*q**2/3.
-2*q**2*(q - 75)/9
Factor 5808*q**2/5 - 264*q/5 + 3/5.
3*(44*q - 1)**2/5
Find v, given that 3*v**5/2 - 21*v**4 + 147*v**3/2 - 54*v**2 = 0.
0, 1, 4, 9
Factor -4*j**2 + 248*j.
-4*j*(j - 62)
Factor -d**4 - 22*d**3 - 77*d**2 - 92*d - 36.
-(d + 1)**2*(d + 2)*(d + 18)
Determine f, given that 2*f**2/9 + 2192*f/9 = 0.
-1096, 0
Factor m**2/4 - 143*m/2 + 20449/4.
(m - 143)**2/4
Find n such that n**2 - 33*n - 70 = 0.
-2, 35
Suppose -2*b**2 - 86*b - 312 = 0. What is b?
-39, -4
Factor -10*y**5 + 42*y**4 - 48*y**3 + 8*y**2.
-2*y**2*(y - 2)**2*(5*y - 1)
Find o, given that -o**2/9 + 185*o/9 + 188/3 = 0.
-3, 188
Solve q**5 - 3*q**3 - 2*q**2 = 0.
-1, 0, 2
Find v such that 2*v**5/5 + 56*v**4/5 + 584*v**3/5 + 2752*v**2/5 + 5632*v/5 + 4096/5 = 0.
-8, -2
Factor -2*m**4 + 94*m**3 + 408*m**2.
-2*m**2*(m - 51)*(m + 4)
Solve -x**5/3 + 205*x**4/6 - 5303*x**3/6 + 833*x**2/2 + 867*x/2 = 0.
-1/2, 0, 1, 51
Let g**2 + 796*g + 158404 = 0. Calculate g.
-398
What is q in -q**2 - 55*q + 114 = 0?
-57, 2
Factor 2*l**3/5 - 12*l**2/5 + 16*l/5.
2*l*(l - 4)*(l - 2)/5
Let -2*s**4 + 146*s**3 - 2454*s**2 - 5354*s - 2752 = 0. Calculate s.
-1, 32, 43
What is l in 3*l**2/5 + 36672*l/5 + 112069632/5 = 0?
-6112
Factor -28*b**3 + 132*b**2 + 432*b + 112.
-4*(b - 7)*(b + 2)*(7*b + 2)
Solve -3*l**2/4 - 32*l + 43/4 = 0 for l.
-43, 1/3
Let 27*x**3/5 - 123*x**2/5 - 15*x + 15 = 0. Calculate x.
-1, 5/9, 5
Find m such that 4*m**4 - 40*m**3 + 132*m**2 - 144*m = 0.
0, 3, 4
Factor -9*w**4 - 66*w**3 - 61*w**2 + 64*w - 12.
-(w + 2)*(w + 6)*(3*w - 1)**2
Factor -10*y**2 + 65*y + 845.
-5*(y - 13)*(2*y + 13)
Factor 2*m**4/9 - 706*m**3/9 + 704*m**2/9.
2*m**2*(m - 352)*(m - 1)/9
Find s such that 4*s**3 - 124*s - 120 = 0.
-5, -1, 6
Find k, given that 4*k**4/5 - 772*k**3/5 - 1564*k**2/5 + 772*k/5 + 312 = 0.
-2, -1, 1, 195
Factor d**2 + 23*d + 22.
(d + 1)*(d + 22)
Find i such that 9*i**4 - 39*i**3 + 25*i**2 + 31*i + 6 = 0.
-1/3, 2, 3
Factor -2*y**3/7 + 2*y**2 - 2*y - 30/7.
-2*(y - 5)*(y - 3)*(y + 1)/7
Solve 4*y**2 - 4*y - 8 = 0.
-1, 2
Determine g, given that 5*g**4/7 + 27*g**3/7 + 25*g**2/7 - 39*g/7 - 18/7 = 0.
-3, -2/5, 1
Let -6*s**5 + 64*s**4 - 212*s**3 + 216*s**2 - 22*s - 40 = 0. What is s?
-1/3, 1, 4, 5
Find b, given that -b**3 + 13*b**2 + 29*b + 15 = 0.
-1, 15
Determine w so that -7*w**5/2 + 65*w**4 + 355*w**3/2 + 25*w**2 - 84*w = 0.
-2, -1, 0, 4/7, 21
Solve -2*g**3 - 208*g**2 - 806*g - 600 = 0 for g.
-100, -3, -1
What is x in -5*x**4 + 2310*x**3 - 262145*x**2 - 1076460*x - 1085780 = 0?
-2, 233
Suppose 36*b**5/7 + 19356*b**4/7 + 3473320*b**3/7 + 208781304*b**2/7 + 138032628*b/7 + 22941356/7 = 0. What is b?
-179, -1/3
Factor -3*x**4 - 45*x**3 + 51*x**2 + 45*x - 48.
-3*(x - 1)**2*(x + 1)*(x + 16)
Suppose 4*g**3 + 36*g**2 + 72*g = 0. What is g?
-6, -3, 0
Factor -x**3 + 46*x**2 - 85*x - 132.
-(x - 44)*(x - 3)*(x + 1)
Determine d, given that -2*d**2 - 516*d + 518 = 0.
-259, 1
Solve g**2/2 + 54*g + 1458 = 0 for g.
-54
Determine q, given that -2*q**5/3 + 86*q**4 - 8444*q**3/3 + 2560*q**2 + 16384*q/3 = 0.
-1, 0, 2, 64
Factor -t**4 + 7*t**3 - 14*t**2 + 8*t.
-t*(t - 4)*(t - 2)*(t - 1)
Determine f so that 4*f**4 - 276*f**3 + 4888*f**2 - 4080*f - 9248 = 0.
-1, 2, 34
Let -3*c**2 + 10386*c = 0. What is c?
0, 3462
Determine b so that b**5/4 + 23*b**4/4 + 143*b**3/4 + 121*b**2/4 = 0.
-11, -1, 0
Suppose 13*z**3/3 - 14*z**2 + 35*z/3 - 2 = 0. Calculate z.
3/13, 1, 2
Let -2*k**2 + 240*k + 242 = 0. Calculate k.
-1, 121
Find o, given that 2*o**2/7 + 330*o/7 - 332/7 = 0.
-166, 1
What is u in -u**4/6 + u**3/2 + 5*u**2/3 = 0?
-2, 0, 5
Determine g, given that -2*g**2 - 1444*g - 260642 = 0.
-361
Factor -10*i**2/3 + 166*i/3 + 68/3.
-2*(i - 17)*(5*i + 2)/3
Let -81*j**5/4 - 369*j**4/4 + 44*j**3 - 5*j**2 = 0. What is j?
-5, 0, 2/9
Factor -u**3/3 + 2*u**2 - 4*u + 8/3.
-(u - 2)**3/3
Factor -2*j**5 - 42*j**4 - 144*j**3 - 136*j**2.
-2*j**2*(j + 2)**2*(j + 17)
Factor -k**3/6 - 73*k**2/6 - 1295*k/6 + 1369/6.
-(k - 1)*(k + 37)**2/6
Factor 5*u**2 - 490*u + 12005.
5*(u - 49)**2
Solve -5*t**2 + 9370*t = 0.
0, 1874
Suppose 2*k**3/7 - 3268*k**2/7 + 1331704*k/7 + 2676496/7 = 0. Calculate k.
-2, 818
Suppose 3*q**5 - 105*q**4 + 183*q**3 + 513*q**2 - 594*q = 0. Calculate q.
-2, 0, 1, 3, 33
Factor 2*r**2 - 126*r.
2*r*(r - 63)
Factor -4386*v**3 - 8781*v**2 - 4404*v - 9.
-3*(v + 1)**2*(1462*v + 3)
Let 25*r**5 - 85*r**4 + 15*r**3 + 45*r**2 = 0. Calculate r.
-3/5, 0, 1, 3
Factor -4*a**3 - 2484*a**2 - 514188*a - 35478972.
-4*(a + 207)**3
Factor m**3 - 67*m**2 + 256*m - 252.
(m - 63)*(m - 2)**2
Determine m so that -m**4/6 + m**3/6 + 7*m**2/6 - m/6 - 1 = 0.
-2, -1, 1, 3
Factor 2*c**3/5 + 564*c**2/5 + 53016*c/5 + 1661168/5.
2*(c + 94)**3/5
Factor -4*a**3 - 4*a**2.
-4*a**2*(a + 1)
Factor j**4/2 - 27*j**3/2 + 46*j**2.
j**2*(j - 23)*(j - 4)/2
Factor 2*u**2/9 - 188*u/9 + 4418/9.
2*(u - 47)**2/9
Factor 1827*b**3/4 + 1209*b**2/4 + 197*b/4 - 1/4.
(3*b + 1)**2*(203*b - 1)/4
Factor -5*a**2 - 80*a - 320.
-5*(a + 8)**2
Find p such that -p**5/5 - 34*p**4/5 - 277*p**3/5 + 824*p**2/5 + 9728*p/5 - 2048 = 0.
-16, -8, 1, 5
Factor 2*f**2/5 - 46*f/5 + 44/5.
2*(f - 22)*(f - 1)/5
Let -3*l**2/7 - 195*l + 5508/7 = 0. What is l?
-459, 4
What is u in 3*u**2 - 27*u - 756 = 0?
-12, 21
Find o, given that o**2/2 + 47*o/2 = 0.
-47, 0
Factor f**2 - 27*f + 162.
(f - 18)*(f - 9)
Let 2*l**2/9 + 2*l/9 - 4/9 = 0. Calculate l.
-2, 1
What is y in -308*y**4 + 472*y**3 - 36*y**2 - 112*y - 16 = 0?
-2/7, -2/11, 1
Let -3*m**2 - 75*m = 0. What is m?
-25, 0
Find p, given that -3*p**4/8 + 213*p**3/8 + 1377*p**2/8 + 723*p/8 - 1155/4 = 0.
-5, -2, 1, 77
Find q such that 2*q**2/9 - 14534*q/9 - 14536/9 = 0.
-1, 7268
Factor -2*q**2/3 + 130*q + 392/3.
-2*(q - 196)*(q + 1)/3
Factor -4*v**4 + 256*v**3 - 4096*v**2.
-4*v**2*(v - 32)**2
Solve 4*c**4/5 - 12*c**3/5 - 144*c**2/5 - 128*c/5 = 0 for c.
-4, -1, 0, 8
Factor 4*i**4 - 592*i**3 + 1172*i**2 - 584*i.
4*i*(i - 146)*(i - 1)**2
What is v in -v**2/2 + 4*v + 10 = 0?
-2, 10
Find p such that -5*p**5/4 - 210*p**4 - 415*p**3 = 0.
-166, -2, 0
Suppose q**2 + 2*q - 8 = 0. Calculate q.
-4, 2
Factor w**3/4 + 3*w**2/2 + 11*w/4 + 3/2.
(w + 1)*(w + 2)*(w + 3)/4
Suppose -4*b**3 + 88*b**2 + 92*b = 0. Calculate b.
-1, 0, 23
What is u in 5*u**2 - 105*u - 110 = 0?
-1, 22
Solve 2*u**2/7 + 88*u/7 = 0.
-44, 0
Solve 9*b**4 - 156*b**3 + 771*b**2 - 816*b + 192 = 0 for b.
1/3, 1, 8
Let -4*b**4 - 128*b**3 - 1400*b**2 - 5632*b - 4356 = 0. What is b?
-11, -9, -1
Determine q so that 4*q**3/3 - 40*q**2/3 - 52*q/3 + 88/3 = 0.
-2, 1, 11
Determine z so that -2*z**3 - 8*z**2 - 6*z = 0.
-3, -1, 0
Factor y**5 + 3*y**4 - 3*y**3 - 7*y**2 + 6*y.
y*(y - 1)**2*(y + 2)*(y + 3)
Let 2*d**4/3 + 38*d**3/3 - 2*d**2 - 118*d/3 - 76/3 = 0. What is d?
-19, -1, 2
Factor -p**3 - 1276*p**2 - 3821*p - 2546.
-(p + 1)*(p + 2)*(p + 1273)
Factor -d**5/5 + 2*d**4 - 5*d**3 - 4*d**2 + 16*d + 64/5.
-(d - 4)**3*(d + 1)**2/5
Factor 6*p**5 + 9*p**4 - 78*p**3 + 120*p**2 - 72*p + 15.
3*(p - 1)**3*(p + 5)*(2*p - 1)
Find p, given that 2*p**4/5 + 256*p**3/5 + 2052*p**2 + 19440*p - 255150 = 0.
-45, 7
Factor -3*c**3 - 50*c**2 + 521*c - 168.
-(c - 7)*(c + 24)*(3*c - 1)
Find a, given that a**3 + 51*a**2 + 99*a + 49 = 0.
-49, -1
Determine s, given that -4*s**2 - 45136*s - 127328656 = 0.
-5642
Suppose 4*l**5 + 8*l**4 - 36*l**3 - 8*l**2 + 32*l = 0. What is l?
-4, -1, 0, 1, 2
Factor 2*a**3/9 + 22*a**2/3 + 242*a/3 + 2662/9.
2*(a + 11)**3/9
Let 5*x**2 - 1210*x + 1205 = 0. What is x?
1, 241
What is i in -i**5 + 395*i**4 - 1958*i**3 + 3124*i**2 - 1560*i = 0?
0, 1, 2, 390
Factor -3*x**5 + 120*x**4 - 1071*x**3 - 2646*x**2.
-3*x**2*(x - 21)**2*(x + 2)
Suppose -4*g**4 + 1396*g**3 - 119688*g**2 - 368896*g - 247808 = 0. Calculate g.
-2, -1, 176
Factor -2*m**3 - 3042*m**2 + 12192*m - 12200.
-2*(m - 2)**2*(m + 1525)
Let 4*s**2/5 + 8496*s/5 + 4511376/5 = 0. What is s?
-1062
Factor -18*q**3/7 + 22*q**2/7 - 4*q/7.
-2*q*(q - 1)*(9*q - 2)/7
What is v in 4*v**4 - 40*v**3 - 228*v**2 + 40*v + 224 = 0?
-4, -1, 1, 14
Factor -4*j**4/7 - 26*j**3/7 - 60*j**2/7 - 8*j - 16/7.
-2*(j + 2)**3*(2*j + 1)/7
Determine h so that 3*h**5/4 - 321*h**4/2 + 31011*h**3/4 + 88563*h**2 + 304416*h + 338688 = 0.
-4, -3, 112
Find p, given that 25*p**3 - 365*p**2 - 1065*p + 765 = 0.
-