2*v**4 - 26*v**3 + 124*v**2 - 256*v + 192.
2*(v - 4)**2*(v - 3)*(v - 2)
Find d, given that 4*d**3 + 232*d**2 + 2020*d + 4800 = 0.
-48, -5
Determine o so that -5*o**4 + 15*o**3 + 15*o**2 - 35*o - 30 = 0.
-1, 2, 3
Factor -10*a**2/7 - 382*a/7 + 56.
-2*(a - 1)*(5*a + 196)/7
Find b such that 3*b**4/5 + 138*b**3 + 36819*b**2/5 - 65688*b + 679728/5 = 0.
-119, 4
Factor 3*u**4/4 + u**3 - 7*u**2/4.
u**2*(u - 1)*(3*u + 7)/4
Factor -3*j**4 - 7*j**3 - 3*j**2 + 3*j + 2.
-(j + 1)**3*(3*j - 2)
Factor 9*m**2 - 732*m + 243.
3*(m - 81)*(3*m - 1)
Factor -2*l**2/7 - 968*l/7 - 117128/7.
-2*(l + 242)**2/7
Factor -r**3/3 - 14*r**2/3 - r/3 + 52.
-(r - 3)*(r + 4)*(r + 13)/3
Solve -k**4 + 3*k**3 - 4*k = 0 for k.
-1, 0, 2
Solve -2*n**4/11 + 8*n**3/11 + 36*n**2/11 + 40*n/11 + 14/11 = 0 for n.
-1, 7
Let 2*m**3/3 - 100*m**2/9 + 154*m/9 - 20/3 = 0. Calculate m.
2/3, 1, 15
Factor 3*p**4/4 + 99*p**3/2 + 3639*p**2/4 + 3069*p + 2883.
3*(p + 2)**2*(p + 31)**2/4
Factor -7*i**3 + 2*i**2 + 24*i.
-i*(i - 2)*(7*i + 12)
Factor -b**4/4 - 5*b**3/2 - 29*b**2/4 - 8*b - 3.
-(b + 1)**2*(b + 2)*(b + 6)/4
Factor -2*q**2/5 + 114*q/5 + 116/5.
-2*(q - 58)*(q + 1)/5
Solve -2*h**5 - 12*h**4 - 4*h**3 + 32*h**2 + 6*h - 20 = 0 for h.
-5, -2, -1, 1
Factor 3*q**2 - 1407*q.
3*q*(q - 469)
Determine i so that 3*i**5 + 57*i**4 + 174*i**3 - 126*i**2 - 513*i + 405 = 0.
-15, -3, 1
Let -4*f**4 + 4*f**3 + 300*f**2 - 1300*f + 1000 = 0. Calculate f.
-10, 1, 5
Determine g, given that 2*g**3/9 - 28*g**2/9 - 34*g/9 + 20/3 = 0.
-2, 1, 15
Factor -4*h**2 - 248*h - 3844.
-4*(h + 31)**2
Solve 15*o**4 - 65*o**3 - 1465*o**2 - 3015*o + 1170 = 0.
-6, -3, 1/3, 13
Factor -3*p**3/5 + 2766*p**2/5 + 5541*p/5 + 2772/5.
-3*(p - 924)*(p + 1)**2/5
Factor 2*p**4 - 348*p**3 + 15482*p**2 - 29928*p + 14792.
2*(p - 86)**2*(p - 1)**2
Factor -2*q**2/11 - 14*q/11.
-2*q*(q + 7)/11
Let -2*g**5/7 - 76*g**4/7 - 722*g**3/7 = 0. What is g?
-19, 0
Determine u, given that -3*u**2/4 - 417*u/4 + 105 = 0.
-140, 1
Factor 3*f**3/2 - 39*f**2/2 + 33*f.
3*f*(f - 11)*(f - 2)/2
Factor -4*j**4 - 64*j**3 - 100*j**2 + 168*j.
-4*j*(j - 1)*(j + 3)*(j + 14)
Suppose -2*g**4 - 266*g**3 + 270*g**2 + 266*g - 268 = 0. What is g?
-134, -1, 1
Factor -q**4/3 + 49*q**3/3 + 101*q**2/3 + 17*q.
-q*(q - 51)*(q + 1)**2/3
Factor 4*u**4 - 16*u**2.
4*u**2*(u - 2)*(u + 2)
Factor h**3 + 1207*h**2 - 1208*h.
h*(h - 1)*(h + 1208)
Let j**3/2 + 15*j**2 - j/2 - 15 = 0. What is j?
-30, -1, 1
Find t such that -2*t**5/3 - 6*t**4 + 58*t**3/3 + 54*t**2 + 88*t/3 = 0.
-11, -1, 0, 4
Factor 3*p**3/5 + 12*p**2/5 + 3*p/5 - 18/5.
3*(p - 1)*(p + 2)*(p + 3)/5
Factor 5*n**4 + 25*n**3 - 30*n**2.
5*n**2*(n - 1)*(n + 6)
Suppose 30*v**4 + 28*v**3 - 6*v**2 - 4*v = 0. What is v?
-1, -1/3, 0, 2/5
Factor 5*x**5/4 - 25*x**4/4 + 25*x**3/2 - 25*x**2/2 + 25*x/4 - 5/4.
5*(x - 1)**5/4
Determine o, given that -117*o**5/10 + 724*o**4/5 - 785*o**3/2 + 343*o**2 - 454*o/5 + 36/5 = 0.
2/13, 2/9, 1, 2, 9
What is g in 3*g**4 - 64*g**3 + 221*g**2 + 16*g - 272 = 0?
-1, 4/3, 4, 17
Factor -w**4/4 + 37*w**3/2 - 681*w**2/4 - 189*w.
-w*(w - 63)*(w - 12)*(w + 1)/4
What is g in g**3/12 + 68*g**2/3 + 803*g/12 - 269/3 = 0?
-269, -4, 1
Suppose 33*b**5 + 6*b**4 - 99*b**3 + 48*b**2 + 12*b = 0. Calculate b.
-2, -2/11, 0, 1
Determine k, given that 3*k**5 + 96*k**4 - 1314*k**3 + 4440*k**2 - 3225*k = 0.
-43, 0, 1, 5
Find g, given that 20*g**4 + 84*g**3 - 384*g**2 - 1040*g - 192 = 0.
-6, -2, -1/5, 4
Find t, given that 2*t**2 + 14*t - 16 = 0.
-8, 1
Let -1024*p**5/9 - 896*p**4 - 2352*p**3 - 2058*p**2 = 0. Calculate p.
-21/8, 0
Let -y**4/9 - 7*y**3/9 - 5*y**2/3 - y = 0. What is y?
-3, -1, 0
Factor -21*r**3/4 - 12*r**2 + 123*r + 36.
-3*(r - 4)*(r + 6)*(7*r + 2)/4
Find v such that -4*v**2/3 + 1220*v/3 - 2392 = 0.
6, 299
Find z such that -z**3 + 209*z**2 - 2015*z + 4975 = 0.
5, 199
Factor -3*t**3/5 + 1389*t**2/5 - 32568*t + 95220.
-3*(t - 230)**2*(t - 3)/5
Determine u so that -4*u**2 - 852*u + 856 = 0.
-214, 1
Find k such that -k**2 - 5*k - 6 = 0.
-3, -2
Factor 5*h**4 + 35*h**3 + 50*h**2.
5*h**2*(h + 2)*(h + 5)
Factor 5*t**3/4 + 95*t**2/2 + 185*t/4.
5*t*(t + 1)*(t + 37)/4
Suppose -4*w**4/19 - 1986*w**3/19 - 2970*w**2/19 + 2*w/19 + 990/19 = 0. What is w?
-495, -1, 1/2
Determine d so that -d**4/6 - 7*d**3/6 + 316*d**2/3 - 872*d + 768 = 0.
-32, 1, 12
Factor z**4 - 4*z**2.
z**2*(z - 2)*(z + 2)
Factor 4*f**2 + 28*f - 72.
4*(f - 2)*(f + 9)
Factor -2*o**4/3 + 1058*o**3/3 + 4256*o**2/3 + 4264*o/3.
-2*o*(o - 533)*(o + 2)**2/3
Determine j, given that 4*j**5/7 - 12*j**4/7 - 136*j**3/7 + 40*j**2 + 900*j/7 + 500/7 = 0.
-5, -1, 5
Factor 2*x**2 + 26*x + 24.
2*(x + 1)*(x + 12)
What is t in 3*t**5/4 - 9*t**4/4 - 339*t**3/2 - 2055*t**2/2 - 6237*t/4 - 2793/4 = 0?
-7, -1, 19
Let 2*w**2 - 94*w + 792 = 0. What is w?
11, 36
Factor a**5 - 15*a**3 - 10*a**2 + 60*a + 72.
(a - 3)**2*(a + 2)**3
Factor d**4 + 18*d**3 + 17*d**2.
d**2*(d + 1)*(d + 17)
Solve 3*b**2/5 - 62*b/5 - 21/5 = 0 for b.
-1/3, 21
Let -4*v**5/9 + 64*v**4/9 - 260*v**3/9 + 200*v**2/9 = 0. What is v?
0, 1, 5, 10
Factor y**2/3 + 472*y/3.
y*(y + 472)/3
Determine r so that -2*r**4 + 3502*r**3 + 10518*r**2 + 10522*r + 3508 = 0.
-1, 1754
Factor -t**2 - 24*t.
-t*(t + 24)
Factor 1250*z**3 + 4900*z**2 - 398*z + 8.
2*(z + 4)*(25*z - 1)**2
Factor -w**3/7 - 26*w**2/7 - 185*w/7 - 400/7.
-(w + 5)**2*(w + 16)/7
Determine s, given that 2*s**4/5 + 2*s**3 - 54*s**2/5 - 162*s/5 + 108 = 0.
-6, -5, 3
Factor v**4/2 - 11*v**3/3 + 10*v**2 - 12*v + 16/3.
(v - 2)**3*(3*v - 4)/6
Let 6*i**5/7 - 2*i**4 + 4*i**3/7 = 0. What is i?
0, 1/3, 2
Suppose 2*o**5/15 - 32*o**4/15 + 56*o**3/5 - 332*o**2/15 + 278*o/15 - 28/5 = 0. Calculate o.
1, 6, 7
Determine c, given that -5*c**5 + 30*c**4 + 5*c**3 - 30*c**2 = 0.
-1, 0, 1, 6
Determine g so that g**3/9 + 277*g**2/9 + 6157*g/3 - 11045 = 0.
-141, 5
Let -55*y**5 + 705*y**4 + 2000*y**3 - 31560*y**2 - 38800*y - 6000 = 0. Calculate y.
-6, -1, -2/11, 10
Factor -15*c**4 - 35*c**3 + 60*c**2 + 140*c.
-5*c*(c - 2)*(c + 2)*(3*c + 7)
Suppose 3*f**5/7 + 306*f**4/7 - 309*f**3/7 = 0. Calculate f.
-103, 0, 1
Determine d so that -4*d**5/3 - 152*d**4/3 - 148*d**3/3 = 0.
-37, -1, 0
Find h, given that 4*h**4 + 60*h**3 + 196*h**2 + 228*h + 88 = 0.
-11, -2, -1
Determine x so that -8*x**3 - 334*x**2 - 1132*x + 304 = 0.
-38, -4, 1/4
Find k, given that -4*k**3 - 524*k**2 - 3036*k - 4500 = 0.
-125, -3
Factor 2*z**2/3 + 112*z + 330.
2*(z + 3)*(z + 165)/3
Factor -5*u**2 - 1030*u - 53045.
-5*(u + 103)**2
Factor 2*q**3/5 - 2*q**2/5.
2*q**2*(q - 1)/5
Factor 6*p**2/5 + 358*p/5 + 236/5.
2*(p + 59)*(3*p + 2)/5
Determine x, given that x**5 - 21*x**4 - 11*x**3 + 213*x**2 + 370*x + 168 = 0.
-2, -1, 4, 21
Suppose 5*t**5/2 - 79*t**4 + 683*t**3 - 914*t**2 + 165*t/2 + 225 = 0. Calculate t.
-2/5, 1, 15
What is t in -t**3 + t**2 + 2*t = 0?
-1, 0, 2
Suppose -9*t**2/2 + 177*t - 345/2 = 0. What is t?
1, 115/3
Find l such that -l**2 + 63*l - 180 = 0.
3, 60
Solve 54*d**5/7 + 54*d**4 + 612*d**3/7 + 380*d**2/7 + 102*d/7 + 10/7 = 0.
-5, -1, -1/3
Let -3*y**4 - 18*y**3 - 21*y**2 + 18*y + 24 = 0. What is y?
-4, -2, -1, 1
Find r, given that -2*r**5 + 6*r**4 - 8*r**2 = 0.
-1, 0, 2
Solve -2*l**2/5 + 16*l/5 + 66/5 = 0.
-3, 11
Solve -4*r**5 - 24*r**4 + 116*r**3 + 24*r**2 - 400*r + 288 = 0.
-9, -2, 1, 2
Factor 5*v**4 + 35*v**3 + 85*v**2 + 85*v + 30.
5*(v + 1)**2*(v + 2)*(v + 3)
Factor 4*v**2/7 + 432*v/7 - 880/7.
4*(v - 2)*(v + 110)/7
Factor 5*w**3 + 765*w**2 + 39015*w + 663255.
5*(w + 51)**3
Let w**2/5 - 4*w/5 - 21/5 = 0. What is w?
-3, 7
Factor 5*o**2/2 - 15*o/2 - 70.
5*(o - 7)*(o + 4)/2
Let 2*d**3 + 62*d**2 - 2*d - 62 = 0. Calculate d.
-31, -1, 1
Let a**2/10 + 166*a/5 + 66 = 0. What is a?
-330, -2
What is k in 2*k**3/3 + 16*k**2/3 + 26*k/3 + 4 = 0?
-6, -1
Factor f**2/3 + 7*f/3 + 4.
(f + 3)*(f + 4)/3
Factor 27*t**4 + 1260*t**3 + 18300*t**2 + 84000*t + 120000.
3*(t + 20)**2*(3*t + 10)**2
Factor 2*s**3/9 - 58*s**2 + 11440*s/3 - 33800/9.
2*(s - 130)**2*(s - 1)/9
Factor -3*y**3 + y**2 + 8*y + 4.
-(y - 2)*(y + 1)*(3*y + 2)
Factor -6*c**3/7 + 202*c**2/21 - 44*c/21.
-2*c*(c - 11)*(9*c - 2)/21
Factor n**3/3 + 25*n**2/3 - 696*n - 20304.
(n - 47)*(n + 36)**2/3
Solve i**2 - 47*i + 46 = 0.
1, 46
Factor 5*d**5 + 15*d**4 - 50*d**3 + 10*d**2 + 45*d - 25.
5*(d - 1)**3*(d + 1)*(d + 5)
Factor -5*w**3 + 125*w**2 - 595*w + 475.
-5*(w - 19)*(w - 5)*(w - 1)
Factor -39*t**3 - 99*