**4 + 42*w**3 + 2*w**2 - 42*w = 0.
-1, 0, 1, 21
Factor w**2/4 + 25*w/4.
w*(w + 25)/4
Factor -t**2/3 - 59*t + 178/3.
-(t - 1)*(t + 178)/3
Let -158*d**4 - 7888*d**3/3 + 3806*d**2 - 3128*d/3 + 24 = 0. Calculate d.
-18, 2/79, 1/3, 1
Determine p so that p**2 + 202*p + 10201 = 0.
-101
Determine i, given that -2*i**5 + 18*i**4 - 46*i**3 + 22*i**2 + 48*i - 40 = 0.
-1, 1, 2, 5
Factor -360*t**2 + 475*t - 115.
-5*(t - 1)*(72*t - 23)
Let 5*n**5 - 45*n**4 + 120*n**3 - 80*n**2 = 0. Calculate n.
0, 1, 4
Factor 20*l**4 - 156*l**3 + 412*l**2 - 420*l + 144.
4*(l - 3)**2*(l - 1)*(5*l - 4)
Factor 4*a**3/3 - 620*a**2/3 + 616*a/3.
4*a*(a - 154)*(a - 1)/3
Solve -2*p**4/3 - 2*p**3/3 + 10*p**2/3 - 2*p = 0.
-3, 0, 1
Determine c, given that -2*c**5 + 90*c**4 - 340*c**3 + 500*c**2 - 330*c + 82 = 0.
1, 41
Factor 4*u**4 + 8*u**3 - 220*u**2 - 224*u.
4*u*(u - 7)*(u + 1)*(u + 8)
Let -121*i**3 + 15048*i**2 - 5460*i + 496 = 0. What is i?
2/11, 124
Factor 3*q**5 + 54*q**4 + 258*q**3 - 168*q**2 - 2205*q + 2058.
3*(q - 2)*(q - 1)*(q + 7)**3
Determine y so that 4*y**4 - 12*y**3 - 36*y**2 - 20*y = 0.
-1, 0, 5
Factor 3*x**3 - 102*x**2 + 756*x + 1944.
3*(x - 18)**2*(x + 2)
Let -18*m**4 - 672*m**3 - 206*m**2 + 600*m + 296 = 0. Calculate m.
-37, -2/3, 1
Solve -2*k**5/9 + 28*k**4 + 2404*k**3/9 + 400*k**2 - 12050*k/9 - 1500 = 0 for k.
-5, -1, 2, 135
Factor k**3/2 + 21*k**2/2 + 99*k/2 + 135/2.
(k + 3)**2*(k + 15)/2
Factor -4*r**4 - 32*r**3 + 40*r**2 + 32*r - 36.
-4*(r - 1)**2*(r + 1)*(r + 9)
Factor -2*p**5/5 + 24*p**4/5 - 114*p**3/5 + 268*p**2/5 - 312*p/5 + 144/5.
-2*(p - 3)**2*(p - 2)**3/5
Solve -z**3/4 - 39*z**2/4 + 42*z - 43 = 0.
-43, 2
Let -324*g**2 - 69408*g - 3717184 = 0. Calculate g.
-964/9
Solve -2*n**5/9 + 8*n**4 - 260*n**3/3 + 1352*n**2/9 + 4394*n/3 = 0.
-3, 0, 13
Let -3*v**4 + 6*v**3 + 39*v**2 - 42*v - 72 = 0. Calculate v.
-3, -1, 2, 4
Factor 3*p**4 + 30*p**3 + 108*p**2 + 162*p + 81.
3*(p + 1)*(p + 3)**3
Find h, given that 5*h**2/2 + 510*h + 8370 = 0.
-186, -18
Suppose -5*g**3 - 600*g**2 + 1220*g = 0. What is g?
-122, 0, 2
Factor 2*p**5 - 46*p**4 - 98*p**3 - 50*p**2.
2*p**2*(p - 25)*(p + 1)**2
Factor 4*k**5 - 16*k**4 + 8*k**3 + 16*k**2 - 12*k.
4*k*(k - 3)*(k - 1)**2*(k + 1)
Factor -2*m**2/3 + 712*m/3 + 238.
-2*(m - 357)*(m + 1)/3
Solve 5*c**3 - 65*c**2 + 110*c = 0 for c.
0, 2, 11
Solve 4*s**5/3 + 25*s**4 + 193*s**3/3 - 171*s**2 - 485*s/3 + 50 = 0 for s.
-15, -5, -1, 1/4, 2
What is y in 3*y**2/8 - 21*y/8 - 27/4 = 0?
-2, 9
Suppose -3*a**4/4 + 21*a**3/4 + 9*a**2/4 - 57*a/4 - 21/2 = 0. Calculate a.
-1, 2, 7
Factor -2*n**5 + 6*n**4 + 2*n**3 - 22*n**2 + 24*n - 8.
-2*(n - 2)*(n - 1)**3*(n + 2)
Solve -i**2/5 + 372*i/5 - 34596/5 = 0 for i.
186
Solve 3*h**5 - 21*h**4 = 0 for h.
0, 7
What is o in 8*o**2/5 + 1738*o/5 + 434/5 = 0?
-217, -1/4
Factor 3*j**3 - 423*j**2 + 15525*j - 42849.
3*(j - 69)**2*(j - 3)
Factor -o**3/10 + 9*o**2/10 - 9*o/5.
-o*(o - 6)*(o - 3)/10
Solve -v**5/5 - 4*v**4 - 82*v**3/5 - 108*v**2/5 - 9*v = 0.
-15, -3, -1, 0
Solve 7*k**4 - 19*k**3 + 17*k**2 - 5*k = 0 for k.
0, 5/7, 1
Factor -2*d**2 - 1608*d - 1606.
-2*(d + 1)*(d + 803)
Find v, given that 3*v**4/4 - 75*v**3/4 + 261*v**2/4 + 759*v/4 + 105 = 0.
-1, 7, 20
Factor 8*c**3/3 - 25*c**2 + 91*c/3 - 8.
(c - 8)*(c - 1)*(8*c - 3)/3
Factor -2*p**3/13 - 84*p**2/13 + 2*p/13 + 84/13.
-2*(p - 1)*(p + 1)*(p + 42)/13
Determine k so that 54*k**2 + 57*k + 3 = 0.
-1, -1/18
Factor o**3 - 597*o**2 - o + 597.
(o - 597)*(o - 1)*(o + 1)
Find j such that -8*j**5/7 - 18*j**4/7 - 4*j**3/7 = 0.
-2, -1/4, 0
Find y such that 3*y**5 + 42*y**4 + 36*y**3 - 42*y**2 - 39*y = 0.
-13, -1, 0, 1
Solve -3*q**4/7 + 246*q**3/7 + 108*q**2 + 762*q/7 + 255/7 = 0.
-1, 85
Find j, given that 11*j**4/2 - 151*j**3/2 - 81*j**2 = 0.
-1, 0, 162/11
Factor -k**3/6 + 2*k**2 - 22*k/3 + 8.
-(k - 6)*(k - 4)*(k - 2)/6
Factor -5*w**2/2 + 465*w - 43245/2.
-5*(w - 93)**2/2
Factor 20*u**2 + 116*u + 152.
4*(u + 2)*(5*u + 19)
Find f, given that 2*f**3/7 + 34*f**2/7 - 162*f/7 + 18 = 0.
-21, 1, 3
Factor -2*m**4 - 20*m**3 - 48*m**2 - 44*m - 14.
-2*(m + 1)**3*(m + 7)
Factor -2*b**3 + 26*b**2 - 24*b.
-2*b*(b - 12)*(b - 1)
Factor 5*a**3 - 280*a**2 - 5*a + 280.
5*(a - 56)*(a - 1)*(a + 1)
Solve p**2 + 9*p - 52 = 0 for p.
-13, 4
Determine y so that 5*y**3 - 180*y**2 + 165*y + 350 = 0.
-1, 2, 35
Suppose -12*k**2 + 1281*k + 321 = 0. Calculate k.
-1/4, 107
What is l in l**5 - 179*l**4 + 7738*l**3 + 24298*l**2 + 24661*l + 8281 = 0?
-1, 91
Factor 2*h**3/11 - 52*h**2/11 + 338*h/11.
2*h*(h - 13)**2/11
Factor 5*p**2 + 8220*p + 3378420.
5*(p + 822)**2
Factor 4*r**3 - 756*r**2 + 36096*r - 35344.
4*(r - 94)**2*(r - 1)
Solve 6*g**5/7 - 2*g**4/7 - 18*g**3/7 - 6*g**2/7 + 4*g/7 = 0.
-1, 0, 1/3, 2
Factor 5*d**2 - 170*d + 165.
5*(d - 33)*(d - 1)
Factor 4*l**2 + 11392*l + 8111104.
4*(l + 1424)**2
Factor -54*a**3/19 - 110*a**2/19 - 58*a/19 - 2/19.
-2*(a + 1)**2*(27*a + 1)/19
Factor v**4/4 + 31*v**3/4 - 561*v**2/2 - 8992*v - 8704.
(v - 34)*(v + 1)*(v + 32)**2/4
Factor -q**3 + 27*q + 54.
-(q - 6)*(q + 3)**2
Solve -4*i**2 + 80*i - 76 = 0 for i.
1, 19
Solve 5*p**5 + 100*p**4 + 580*p**3 + 710*p**2 - 585*p - 810 = 0 for p.
-9, -2, -1, 1
Solve 3*w**2/7 - 57*w/7 + 30 = 0 for w.
5, 14
Suppose -3*c**4 - 57*c**3 - 153*c**2 - 147*c - 48 = 0. What is c?
-16, -1
Solve -18*m**4/7 - 163*m**3/7 - 279*m**2/7 - 141*m/7 - 1 = 0 for m.
-7, -1, -1/18
Factor -s**3/3 - 29*s**2 + 178*s/3.
-s*(s - 2)*(s + 89)/3
Factor f**4 + 3*f**3 + f**2 - 3*f - 2.
(f - 1)*(f + 1)**2*(f + 2)
Factor 10*n**4 - 52*n**3 + 40*n**2 + 84*n - 18.
2*(n - 3)**2*(n + 1)*(5*n - 1)
Factor o**2/5 - 124*o/5 + 3844/5.
(o - 62)**2/5
Solve 176*o**4 - 3724*o**3 + 584*o**2 + 84*o = 0 for o.
-1/11, 0, 1/4, 21
Solve -2*q**3/9 + 1354*q**2/9 - 4048*q/9 + 2696/9 = 0.
1, 2, 674
Factor -5*b**5 + 10*b**4.
-5*b**4*(b - 2)
Factor d**3/2 - 7*d/2 + 3.
(d - 2)*(d - 1)*(d + 3)/2
Determine o so that -o**2/6 - 95*o/6 + 97/3 = 0.
-97, 2
Factor -c**3 + 19*c**2 - 87*c + 117.
-(c - 13)*(c - 3)**2
Factor 2*s**3 + 28*s**2 - 182*s + 152.
2*(s - 4)*(s - 1)*(s + 19)
Determine l so that l**5/5 + 6*l**4/5 - 3*l**3 + 8*l**2/5 = 0.
-8, 0, 1
Determine y, given that y**3/2 - 99*y**2/2 + 49*y = 0.
0, 1, 98
Suppose -i**3 - 14*i**2 + 9*i + 126 = 0. Calculate i.
-14, -3, 3
Suppose -2*b**5/5 + 16*b**4/5 - 2*b**3 - 20*b**2 = 0. What is b?
-2, 0, 5
Suppose -t**5/3 + 3*t**4 + 21*t**3 + 95*t**2/3 + 14*t = 0. Calculate t.
-3, -1, 0, 14
Factor z**2/3 + 28*z/3.
z*(z + 28)/3
Let 27*b**5 + 1986*b**4/7 + 2295*b**3/7 - 2610*b**2/7 - 1644*b/7 - 216/7 = 0. Calculate b.
-9, -2, -2/7, -2/9, 1
Factor -2*n**3 + 38*n + 60.
-2*(n - 5)*(n + 2)*(n + 3)
Factor -k**2 + 13*k + 30.
-(k - 15)*(k + 2)
Determine r so that -r**4/4 + 27*r**2/4 - 27*r/2 = 0.
-6, 0, 3
Let y**5/4 - 30*y**4 + 174*y**3 - 344*y**2 + 228*y = 0. Calculate y.
0, 2, 114
Factor -3*f**3 - 444*f**2 - 15975*f + 33750.
-3*(f - 2)*(f + 75)**2
Solve 3*j**2 - 438*j = 0 for j.
0, 146
Let 3*t**4/5 - 9*t**3/5 - 192*t**2/5 - 36*t = 0. What is t?
-6, -1, 0, 10
Factor -j**3/2 + 352*j**2 - 1402*j + 1400.
-(j - 700)*(j - 2)**2/2
Determine j, given that -2*j**4/17 - 388*j**3/17 - 18426*j**2/17 + 38024*j/17 - 19208/17 = 0.
-98, 1
Suppose 4*p**5/5 - 12*p**4 + 108*p**3/5 - 52*p**2/5 = 0. What is p?
0, 1, 13
Factor 2*n**5/5 - 16*n**3/5 + 32*n/5.
2*n*(n - 2)**2*(n + 2)**2/5
Solve -5*j**3 + 15*j**2 + 90*j - 200 = 0.
-4, 2, 5
Determine x, given that 27*x**4 + 87*x**3 - 9*x**2 - 87*x - 18 = 0.
-3, -1, -2/9, 1
Let -5*z**5/3 - 14*z**4 - 76*z**3/3 + 136*z**2/3 + 128*z + 128/3 = 0. What is z?
-4, -2, -2/5, 2
Solve 4*s**5 + 52*s**4 + 124*s**3 - 404*s**2 - 560*s + 784 = 0 for s.
-7, -2, 1, 2
Factor 3*q**2/4 - 75*q/4 - 39/2.
3*(q - 26)*(q + 1)/4
Suppose -3*i**4/2 + 3*i**3 - 3*i**2/2 = 0. What is i?
0, 1
Factor -c**2/5 - 168*c/5 - 167/5.
-(c + 1)*(c + 167)/5
Factor -21*n**4/4 + 29*n**3/4 - 2*n**2.
-n**2*(n - 1)*(21*n - 8)/4
Factor 3*b**3/5 + 27*b**2 + 1401*b/5 - 1539/5.
3*(b - 1)*(b + 19)*(b + 27)/5
Suppose -5*z**4 + 85*z**2 + 180*z + 100 = 0. What is z?
-2, -1, 5
Factor -95*y**3 - 370*y**2 - 340*y + 40.
-5*(y + 2)**2*(19*y - 2)
Determine h so that 2*h**2/19 - 42*h/19 - 200/19 = 0.
-4, 25
Factor -a**2/2 + 33*a.
-a*(a - 66)/2
Factor 2*c**5 + 4*c**4 - 6*c**3 - 16*c**2 - 8*c.
2*c*(c - 2)*(c + 1)**2*(c + 2)
What is y in -9*y**5 - 399*y**4 + 1547*y**3 - 1761*y**2 + 718*y - 96 = 0?
-48, 1/3, 1, 