4 + 4*v**3 + 12*v**2 = 0. Calculate v.
-3, -1, 0, 1
Factor -2*k**2 - 246*k + 248.
-2*(k - 1)*(k + 124)
Determine r, given that -r**5 + 2*r**4 + 25*r**3 - 50*r**2 = 0.
-5, 0, 2, 5
Factor -1176*a**3 - 32620*a**2 - 212000*a + 200000.
-4*(6*a - 5)*(7*a + 100)**2
Factor -y**4 - 35*y**3 - 183*y**2 - 265*y - 116.
-(y + 1)**2*(y + 4)*(y + 29)
Factor 24*r**2 - 333*r - 42.
3*(r - 14)*(8*r + 1)
Find y, given that -y**5 - 13*y**4 - 41*y**3 + 13*y**2 + 42*y = 0.
-7, -6, -1, 0, 1
Factor -7*o**3/5 + 86*o**2/5 - 248*o/5 + 64/5.
-(o - 8)*(o - 4)*(7*o - 2)/5
Suppose -4*n**5/3 + 371*n**4/3 - 8731*n**3/3 + 5522*n**2/3 + 18860*n/3 + 4232/3 = 0. Calculate n.
-1, -1/4, 2, 46
Let -a**4/2 + 13*a**2/2 - 6*a = 0. Calculate a.
-4, 0, 1, 3
Suppose 2*v**3/9 - 1442*v**2/9 = 0. What is v?
0, 721
Factor -2*d**2/7 - 396*d/7.
-2*d*(d + 198)/7
Determine m, given that 4*m**3 + 960*m**2 - 3888*m + 3904 = 0.
-244, 2
Determine t, given that -784*t**5 - 2296*t**4/3 + 100*t**3/3 + 46*t**2/3 + 2*t/3 = 0.
-1, -1/14, 0, 1/6
Factor -2*c**4/7 + 16*c**3/7 - 2*c**2.
-2*c**2*(c - 7)*(c - 1)/7
Factor -3*u**2 - 1878*u - 293907.
-3*(u + 313)**2
Suppose x**3 + 11*x**2 - 185*x - 627 = 0. Calculate x.
-19, -3, 11
Factor 20*n**3/3 - 46*n**2 - 374*n/3 - 12.
2*(n - 9)*(n + 2)*(10*n + 1)/3
What is g in -3*g**2/5 - 36*g/5 + 84/5 = 0?
-14, 2
Let -3*j**2 + 540*j = 0. What is j?
0, 180
Factor -v**3/4 - 79*v**2/4 + 177*v/4 + 1215/4.
-(v - 5)*(v + 3)*(v + 81)/4
Factor 2*t**2/5 - 8*t + 182/5.
2*(t - 13)*(t - 7)/5
Find h such that 3*h**2 + 75*h + 198 = 0.
-22, -3
Factor -2*q**4 + 24*q**3 - 84*q**2 + 104*q - 42.
-2*(q - 7)*(q - 3)*(q - 1)**2
Determine x, given that -2*x**3/15 + 14*x**2/5 - 96*x/5 + 128/3 = 0.
5, 8
Factor -21*b**2 + 11754*b + 3360.
-3*(b - 560)*(7*b + 2)
Factor 22*f**2/5 - 6*f/5.
2*f*(11*f - 3)/5
Determine s, given that -s**5/7 + 22*s**4/7 - 78*s**3/7 + 16*s**2 - 73*s/7 + 18/7 = 0.
1, 18
Factor -64*f**3 + 928*f**2 - 452*f + 56.
-4*(f - 14)*(4*f - 1)**2
Factor 2*b**3/7 + 4922*b**2/7 - 9850*b/7 + 4926/7.
2*(b - 1)**2*(b + 2463)/7
Let -5*u**5/2 + 130*u**4 = 0. What is u?
0, 52
Solve 5*a**3 - 335*a**2 - 6320*a - 26560 = 0.
-8, 83
Solve -24*y**3 - 114*y**2 + 39*y + 45 = 0.
-5, -1/2, 3/4
Factor -2*n**4/3 - 10*n**3 + 32*n**2/3.
-2*n**2*(n - 1)*(n + 16)/3
Factor -z**2 + 207*z + 844.
-(z - 211)*(z + 4)
What is b in b**2 + 49*b = 0?
-49, 0
Solve 4*c**5/3 - 36*c**4 + 500*c**3/3 + 36*c**2 - 168*c = 0 for c.
-1, 0, 1, 6, 21
Solve 2*x**5/5 + 16*x**4/5 - 10*x**3 - 88*x**2/5 + 24*x = 0.
-10, -2, 0, 1, 3
Factor -2*i**3/19 - 16*i**2/19 - 14*i/19.
-2*i*(i + 1)*(i + 7)/19
Determine d, given that -3*d**2/2 - 5955*d/2 - 5949 = 0.
-1983, -2
Solve 2*u**4 + 10*u**3 + 16*u**2 + 8*u = 0.
-2, -1, 0
Solve m**5/4 + 19*m**4/4 + 115*m**3/4 + 277*m**2/4 + 70*m + 25 = 0.
-10, -5, -2, -1
Determine x, given that -2*x**5/5 - 448*x**4/5 - 25532*x**3/5 - 49728*x**2/5 - 24642*x/5 = 0.
-111, -1, 0
Suppose 11*n**3 + 295*n**2 - 54*n = 0. Calculate n.
-27, 0, 2/11
Let -a**2/5 + 16*a/5 + 16 = 0. What is a?
-4, 20
Factor -10*s**3/7 - 78*s**2/7 + 16*s/7.
-2*s*(s + 8)*(5*s - 1)/7
Factor -a**2/5 - 43*a/5 + 408/5.
-(a - 8)*(a + 51)/5
What is t in 3*t**5 = 0?
0
Factor -12*s**4 - 32*s**3 + 132*s**2 - 40*s.
-4*s*(s - 2)*(s + 5)*(3*s - 1)
Let -5*o**3 + 2150*o**2 - 2135*o - 4290 = 0. Calculate o.
-1, 2, 429
Factor -2*z**3/5 + 32*z**2/5.
-2*z**2*(z - 16)/5
Factor z**5 + 2*z**4 - 24*z**3 - 54*z**2 + 135*z + 324.
(z - 4)*(z - 3)*(z + 3)**3
Solve 12*c**5 + 172*c**4 + 180*c**3 - 380*c**2 - 192*c + 208 = 0 for c.
-13, -2, -1, 2/3, 1
Factor 4*g**2 + 68*g + 264.
4*(g + 6)*(g + 11)
Find u, given that 2*u**3 + 36*u**2 + 34*u = 0.
-17, -1, 0
Determine z, given that -52*z**5 + 12992*z**4 + 2052*z**3 - 12992*z**2 - 2000*z = 0.
-1, -2/13, 0, 1, 250
Factor -2*i**2/7 - 6*i/7 - 4/7.
-2*(i + 1)*(i + 2)/7
Factor -s**4 - 89*s**3 - 2697*s**2 - 29435*s - 48778.
-(s + 2)*(s + 29)**3
Factor -5*z**4 + 235*z**3 - 225*z**2 - 235*z + 230.
-5*(z - 46)*(z - 1)**2*(z + 1)
Solve -100*w**4/3 - 160*w**3/3 - 64*w**2/3 = 0 for w.
-4/5, 0
Find g, given that -5*g**4 + 927*g**3/4 + 1569*g**2/4 + 359*g/2 + 24 = 0.
-1, -2/5, -1/4, 48
What is a in -a**4/2 - 11*a**3 + 159*a**2/2 - 124*a + 56 = 0?
-28, 1, 4
Find y such that -y**2/4 - 299*y/2 + 599/4 = 0.
-599, 1
Determine o so that -4*o**5/3 - 184*o**4/3 - 160*o**3 + 1528*o**2/3 - 860*o/3 = 0.
-43, -5, 0, 1
Determine r, given that -10*r**4 - 85*r**3 + 380*r**2 - 465*r + 180 = 0.
-12, 1, 3/2
Find k such that 4*k**2 + 53280*k + 177422400 = 0.
-6660
What is a in -4*a**2 + 15928*a + 15932 = 0?
-1, 3983
Factor n**2/5 + 176*n/5 + 7744/5.
(n + 88)**2/5
Find n, given that 2*n**2/7 + 21768*n/7 + 59230728/7 = 0.
-5442
Determine a so that -4*a**5/7 - 128*a**4/7 - 176*a**3 - 448*a**2 = 0.
-14, -4, 0
Factor 5*y**2 - 335*y - 3850.
5*(y - 77)*(y + 10)
Factor v**5 - 6*v**4 - 7*v**3.
v**3*(v - 7)*(v + 1)
Suppose 15*s**5 - 627*s**4 + 28992*s**3/5 + 16356*s**2 - 14784*s/5 - 92928/5 = 0. What is s?
-8/5, 1, 22
Factor -5*y**4 + 20*y**3 - 20*y**2.
-5*y**2*(y - 2)**2
Determine j, given that 3*j**2 + 42*j + 99 = 0.
-11, -3
Find x such that 5*x**5 - 1470*x**4 + 1450*x**3 + 4420*x**2 - 7335*x + 2930 = 0.
-2, 1, 293
Suppose 4*b**4 - 96*b**3 - 568*b**2 - 384*b + 1044 = 0. Calculate b.
-3, 1, 29
What is y in 4*y**5 + 12*y**4 - 4*y**3 - 44*y**2 - 48*y - 16 = 0?
-2, -1, 2
Solve 3*y**4 + 5922*y**3 + 2922507*y**2 = 0 for y.
-987, 0
Suppose -2*l**3/7 + 724*l**2/7 + 726*l/7 = 0. What is l?
-1, 0, 363
Let q**2 + 36*q + 128 = 0. Calculate q.
-32, -4
Determine d, given that 6*d**2/5 + 597*d/5 + 291 = 0.
-97, -5/2
Factor -2*t**3 + 52*t**2 - 280*t - 784.
-2*(t - 14)**2*(t + 2)
Suppose -4*g**3 + 48*g**2 - 140*g + 96 = 0. What is g?
1, 3, 8
Determine a so that 3*a**2 - 858*a + 855 = 0.
1, 285
Factor q**2/6 - 404*q + 244824.
(q - 1212)**2/6
What is j in -4*j**2 + 940*j + 1896 = 0?
-2, 237
Find n, given that -3*n**2 + 225*n + 2268 = 0.
-9, 84
Factor 3*m**2/4 + 591*m/4 + 720.
3*(m + 5)*(m + 192)/4
Determine s, given that s**2/7 - 180*s = 0.
0, 1260
Factor 3*v**4/5 + 117*v**3/5 - 3078*v**2/5.
3*v**2*(v - 18)*(v + 57)/5
Factor -4*r**4/9 + 1864*r**3/9 - 32032*r**2 + 1622400*r + 3374592.
-4*(r - 156)**3*(r + 2)/9
Factor 3*y**3/5 + 894*y**2/5 + 66603*y/5.
3*y*(y + 149)**2/5
Factor -3*v**4/5 - 3*v**3 + 66*v**2/5 - 48*v/5.
-3*v*(v - 2)*(v - 1)*(v + 8)/5
Find y such that 104*y**4/7 + 16*y**3 - 62*y**2/7 - 94*y/7 - 24/7 = 0.
-1, -1/2, 12/13
Solve x**2/2 - 3*x/2 - 5 = 0 for x.
-2, 5
Factor 4*s**4 + 4*s**3 - 8*s**2.
4*s**2*(s - 1)*(s + 2)
Factor -d**5 - 22*d**4 - 141*d**3 - 220*d**2 - 100*d.
-d*(d + 1)**2*(d + 10)**2
Suppose 5*a**4 + 5*a**3 - 185*a**2 + 175*a = 0. Calculate a.
-7, 0, 1, 5
Determine b so that 27556*b**2/3 + 1328*b/3 + 16/3 = 0.
-2/83
Factor 3*d**2 - 2019*d - 2022.
3*(d - 674)*(d + 1)
What is p in -p**4/6 - 4*p**3/3 + 91*p**2/6 - 101*p/3 + 20 = 0?
-15, 1, 2, 4
Factor -h**4 + 276*h**3 - 28566*h**2 + 1314036*h - 22667121.
-(h - 69)**4
Factor -j**5 - 21*j**4 + 6*j**3 + 118*j**2 - 165*j + 63.
-(j - 1)**3*(j + 3)*(j + 21)
Find c such that -8*c**3/7 - 34*c**2/7 - 32*c/7 - 6/7 = 0.
-3, -1, -1/4
Factor l**4 + 32*l**3 + 61*l**2 + 30*l.
l*(l + 1)**2*(l + 30)
Factor f**4/2 + 3*f**3/2 + f**2/2 - 3*f/2 - 1.
(f - 1)*(f + 1)**2*(f + 2)/2
Factor 4*j**3 + 236*j**2 + 3360*j - 3600.
4*(j - 1)*(j + 30)**2
Solve m**2/2 + 73*m + 5329/2 = 0.
-73
Factor b**3/2 - 5*b**2/2 - 4*b + 6.
(b - 6)*(b - 1)*(b + 2)/2
Factor -n**2/3 - 848*n - 539328.
-(n + 1272)**2/3
Suppose -4*g**3/3 + 184*g**2 - 5760*g - 41472 = 0. Calculate g.
-6, 72
Factor -38*s**2/7 - 192*s/7 - 10/7.
-2*(s + 5)*(19*s + 1)/7
Let -3*j**2 - 693*j - 5352 = 0. Calculate j.
-223, -8
Factor -7*m**3 + 103*m**2 - 362*m - 112.
-(m - 8)*(m - 7)*(7*m + 2)
Determine f so that 2*f**2/13 + 19380*f/13 + 46948050/13 = 0.
-4845
Factor 48*l**3 + 628*l**2 - 620*l - 56.
4*(l - 1)*(l + 14)*(12*l + 1)
Factor 5*b**2 + 520*b.
5*b*(b + 104)
Factor -3*c**2 + 117*c + 120.
-3*(c - 40)*(c + 1)
Find r such that 5*r**3 - 150*r**2 = 0.
0, 30
Factor b**3 + 33*b**2 - 5324.
(b - 11)*(b + 22)**2
Determine s, given that -2*s**2 - 36*s + 80 = 0.
-20, 2
Factor -m**3/9 + 77*m**2/9 - 289*m/3 - 105.
-(m - 63)*(m - 15)*(m + 1)/9
Factor -3*g**3 - 54*g**2 + 1305*g - 1248.
-3*(g - 13)*(g - 1)*(g + 32)
Determine v, given that 2*v**4/3 + 13*v**3/3 + 16*v**2/3 - 19*v/3 - 4 = 0.
-4, -3, -1/