*k**5 + 681*k**4 + 23319*k**3 + 134931*k**2 - 3565401*k + 4962312 = 0 for k.
-41, 3/2, 8
Factor g**5/4 + 39*g**4/4 + 111*g**3/4 + 109*g**2/4 + 9*g.
g*(g + 1)**3*(g + 36)/4
Solve -u**2/3 + 26*u/3 + 77 = 0.
-7, 33
Factor -3*m**4/5 + 9*m**3/5 - 6*m**2/5.
-3*m**2*(m - 2)*(m - 1)/5
Let -2*w**5 + 10*w**4 + 14*w**3 - 10*w**2 - 12*w = 0. Calculate w.
-1, 0, 1, 6
Factor -3*t**2 - 366*t - 11163.
-3*(t + 61)**2
Factor m**4/6 - 24*m**3 + 455*m**2 - 9212*m/3 + 14063/2.
(m - 123)*(m - 7)**3/6
Solve -4*z**5 + 12*z**4 = 0.
0, 3
Determine s, given that -2*s**2 - 2326*s + 2328 = 0.
-1164, 1
Solve 2*w**5/11 - 54*w**4/11 + 432*w**3/11 - 856*w**2/11 - 192*w/11 + 1152/11 = 0.
-1, 2, 12
Suppose 8*t**3/11 - 5*t**2/11 = 0. Calculate t.
0, 5/8
Suppose -3*g**5 - 12*g**4 + 36*g**3 - 6*g**2 - 33*g + 18 = 0. Calculate g.
-6, -1, 1
Let 40*f**3/9 - 62*f**2/3 + 68*f/9 = 0. Calculate f.
0, 2/5, 17/4
Factor 3*v**3 - 48*v**2 - 1344*v - 6144.
3*(v - 32)*(v + 8)**2
Find r such that 2*r**4/19 - 4*r**3/19 - 54*r**2/19 - 104*r/19 - 56/19 = 0.
-2, -1, 7
Factor -8*d**3/9 + 6*d**2 - 82*d/9 - 8/3.
-2*(d - 4)*(d - 3)*(4*d + 1)/9
Find w such that -2*w**2/15 + 296*w/15 = 0.
0, 148
What is a in -a**5/3 - 25*a**4/3 - 187*a**3/3 - 251*a**2/3 + 1168*a/3 - 704/3 = 0?
-11, -8, 1
Factor -3*i**4 + 63*i**3 - 36*i**2 - 516*i + 720.
-3*(i - 20)*(i - 2)**2*(i + 3)
Factor 5*m**3 + 180*m**2 + 945*m + 1350.
5*(m + 3)**2*(m + 30)
Factor 3*t**4 + 6*t**3 - 12*t**2 - 6*t + 9.
3*(t - 1)**2*(t + 1)*(t + 3)
Factor 5*f**3 + 90*f**2 - 5*f - 90.
5*(f - 1)*(f + 1)*(f + 18)
Factor y**4/4 - 15*y**3/4 + 23*y**2/4 + 39*y/4.
y*(y - 13)*(y - 3)*(y + 1)/4
Factor -4*g**2 - 208*g + 212.
-4*(g - 1)*(g + 53)
Suppose 2*n**3/9 + 92*n**2/9 + 86*n/3 = 0. What is n?
-43, -3, 0
Factor w**4 - 112*w**3 + 110*w**2 + 112*w - 111.
(w - 111)*(w - 1)**2*(w + 1)
Factor i**4 + 11*i**3 + 33*i**2 + 37*i + 14.
(i + 1)**2*(i + 2)*(i + 7)
Find j, given that -2*j**4/9 - 2*j**3 - 26*j**2/9 + 2*j + 28/9 = 0.
-7, -2, -1, 1
Factor 210*p**2/11 + 32*p/11 - 8/11.
2*(7*p + 2)*(15*p - 2)/11
Factor 2*p**4 - 16*p**3 + 26*p**2 - 12*p.
2*p*(p - 6)*(p - 1)**2
Factor -t**3/5 - 6*t**2 - 29*t/5.
-t*(t + 1)*(t + 29)/5
Suppose 3*n**5 + 60*n**4 + 111*n**3 + 54*n**2 = 0. What is n?
-18, -1, 0
Factor g**2 + 213*g - 214.
(g - 1)*(g + 214)
Factor 2*j**4 - 10*j**3 - 2502*j**2 + 5026*j - 2516.
2*(j - 37)*(j - 1)**2*(j + 34)
Factor -3645*z**3 + 49950*z**2 + 15040*z + 1120.
-5*(z - 14)*(27*z + 4)**2
Factor j**4/2 + 2*j**3 - 15*j**2/2 - 9*j.
j*(j - 3)*(j + 1)*(j + 6)/2
Factor -v**3 - 224*v**2 - 12765*v - 24642.
-(v + 2)*(v + 111)**2
Factor 6*z**3 - 676*z**2 - 910*z - 228.
2*(z - 114)*(z + 1)*(3*z + 1)
Let -h**2/5 + 1016*h/5 - 258064/5 = 0. What is h?
508
Find v, given that -v**5/7 + 13*v**4/7 - 12*v**3/7 = 0.
0, 1, 12
What is i in 4*i**4 - 76*i**3 + 132*i**2 + 76*i - 136 = 0?
-1, 1, 2, 17
Factor -2*m**2/9 - 110*m/9 - 148.
-2*(m + 18)*(m + 37)/9
What is f in -3*f**2 + 1176*f - 115248 = 0?
196
Suppose 35*b**5 - 3090*b**4 + 15685*b**3 - 27610*b**2 + 18300*b - 3320 = 0. What is b?
2/7, 1, 2, 83
Suppose -f**2/4 + 159*f/2 - 25281/4 = 0. What is f?
159
Factor q**4/4 - 127*q**3/4 + 5355*q**2/4 - 93933*q/4 + 148176.
(q - 64)*(q - 21)**3/4
Determine w so that -4*w**3 - 270*w**2 - 4488*w + 2312 = 0.
-34, 1/2
Solve -j**3/2 + 382*j**2 - 3799*j/2 + 1518 = 0 for j.
1, 4, 759
Find f such that 2*f**3 + 20*f**2 - 106*f + 84 = 0.
-14, 1, 3
Solve a**4 + 4*a**3 - 58*a**2 - 124*a - 63 = 0.
-9, -1, 7
Factor 2*o**3/17 - 916*o**2/17.
2*o**2*(o - 458)/17
Factor -12*y**2/5 + 39*y/5 + 36/5.
-3*(y - 4)*(4*y + 3)/5
Factor -2*v**2/9 + 8*v/9 + 10/9.
-2*(v - 5)*(v + 1)/9
Solve 4*f**2 - 152*f + 420 = 0 for f.
3, 35
Factor -m**3/9 - 1280*m**2/9 - 45653*m - 90738.
-(m + 2)*(m + 639)**2/9
Determine n, given that -2*n**4/7 + 66*n**3/7 - 520*n**2/7 + 792*n/7 = 0.
0, 2, 9, 22
Factor 15*z**3 + 25*z**2 - 10*z.
5*z*(z + 2)*(3*z - 1)
Factor 2*w**2 - 2*w - 12.
2*(w - 3)*(w + 2)
Factor -4*l**3 - 28*l**2 - 48*l.
-4*l*(l + 3)*(l + 4)
Let -m**2/2 + 9*m/2 - 4 = 0. Calculate m.
1, 8
Factor -o**2/9 - 2756*o/9 - 1898884/9.
-(o + 1378)**2/9
Factor 5*a**4 - 265*a**3 - 840*a**2 - 20*a + 1120.
5*(a - 56)*(a - 1)*(a + 2)**2
Solve 5*j**5/6 + 935*j**4/6 - 315*j**3 + 5*j**2/3 + 1885*j/6 - 315/2 = 0 for j.
-189, -1, 1
Determine p so that -p**2/7 + 2*p/7 + 3/7 = 0.
-1, 3
Factor -3*k**3 + k**2 + 164*k + 160.
-(k - 8)*(k + 1)*(3*k + 20)
Factor l**4 - 63*l**3 + 62*l**2.
l**2*(l - 62)*(l - 1)
Solve -9*d**5/4 + 111*d**4/2 - 723*d**3/2 + 285*d**2 + 3951*d/4 + 567/2 = 0 for d.
-1, -1/3, 3, 9, 14
Factor 2*x**2/9 + 2*x/9 - 88/3.
2*(x - 11)*(x + 12)/9
Factor 2*f**3/9 - 532*f**2/9 + 1582*f/9 - 1052/9.
2*(f - 263)*(f - 2)*(f - 1)/9
Let -4*v**5/5 - 6*v**4/5 + 4*v**3/5 = 0. Calculate v.
-2, 0, 1/2
Factor -m**5/4 - 5*m**4/2 + 125*m**2/2 + 625*m/4.
-m*(m - 5)*(m + 5)**3/4
Find u such that 2*u**2 + 188*u - 784 = 0.
-98, 4
Solve -20*n**3 - 2855*n**2 + 6515*n - 1450 = 0 for n.
-145, 1/4, 2
Determine r, given that 81*r**3 - 1332*r**2 + 580*r - 64 = 0.
2/9, 16
Factor 2*t**3/9 + 16*t**2/9 - 46*t/9 - 20/3.
2*(t - 3)*(t + 1)*(t + 10)/9
Determine f, given that 2*f**2/9 + 10*f/9 + 4/3 = 0.
-3, -2
Let -6*o**5/5 - 164*o**4/5 - 198*o**3/5 + 264*o**2/5 + 104*o/5 = 0. Calculate o.
-26, -2, -1/3, 0, 1
Suppose -s**2/3 - 115*s - 344/3 = 0. What is s?
-344, -1
Factor -2*s**3/9 + 8*s**2/3 - 70*s/9 + 16/3.
-2*(s - 8)*(s - 3)*(s - 1)/9
Factor 2*i**4/21 + 8*i**3/7 - 12*i**2/7 - 216*i/7 + 486/7.
2*(i - 3)**2*(i + 9)**2/21
Solve 2*z**2/13 + 32*z/13 = 0 for z.
-16, 0
Factor -n**2/8 - 61*n/2 + 123/2.
-(n - 2)*(n + 246)/8
Factor -3*h**3/2 + 2361*h**2/2 - 465705*h/2 + 463347/2.
-3*(h - 393)**2*(h - 1)/2
Factor -2*c**5/11 - 14*c**4/11 - 30*c**3/11 - 26*c**2/11 - 8*c/11.
-2*c*(c + 1)**3*(c + 4)/11
Factor 2*g**3/5 - 24*g/5 + 32/5.
2*(g - 2)**2*(g + 4)/5
Let -2*k**5/7 - 6*k**4 - 42*k**3 - 98*k**2 = 0. Calculate k.
-7, 0
Find a such that 2*a**4/19 - 40*a**3/19 + 134*a**2/19 - 96*a/19 = 0.
0, 1, 3, 16
Determine z, given that 2*z**3/11 + 116*z**2/11 - 366*z/11 = 0.
-61, 0, 3
Determine x so that 5*x**4 - 655*x**3 + 23015*x**2 - 101745*x + 79380 = 0.
1, 4, 63
Factor 4*u**5 - 8*u**4 - 24*u**3 + 80*u**2 - 76*u + 24.
4*(u - 2)*(u - 1)**3*(u + 3)
Factor -5*n**2 + 115*n - 110.
-5*(n - 22)*(n - 1)
Factor -2*d**2/9 - 1516*d/9 - 1510/3.
-2*(d + 3)*(d + 755)/9
Suppose -3*s**2 + 3444*s - 988428 = 0. Calculate s.
574
Factor -a**4/6 - 17*a**3/6 - 19*a**2/2 - 67*a/6 - 13/3.
-(a + 1)**2*(a + 2)*(a + 13)/6
Factor -3*j**3 + 42*j**2 - 96*j - 384.
-3*(j - 8)**2*(j + 2)
Let -2*o**4/7 + 16*o**3/7 + 34*o**2/7 - 408*o/7 + 360/7 = 0. Calculate o.
-5, 1, 6
Factor f**3 + 567*f**2 + 107163*f + 6751269.
(f + 189)**3
Suppose 21*k**3/8 - 45*k**2/4 - 27*k/8 + 81/2 = 0. Calculate k.
-12/7, 3
Suppose 10443*g**3/5 - 8319*g**2/5 - 2016*g/5 - 108/5 = 0. Calculate g.
-6/59, 1
Factor 5*u**2 - 95*u - 1080.
5*(u - 27)*(u + 8)
Factor -4*b**4 - 10*b**3 + 22*b**2 - 8*b.
-2*b*(b - 1)*(b + 4)*(2*b - 1)
Find m such that -5*m**4 - 70*m**3 = 0.
-14, 0
Factor -y**3 - 297*y**2 + 597*y - 299.
-(y - 1)**2*(y + 299)
Find s, given that -3*s**2 + 126*s = 0.
0, 42
Determine y so that -10*y**4/3 + 18*y**3 - 74*y**2/15 - 42*y/5 - 4/3 = 0.
-2/5, -1/5, 1, 5
Find k, given that 54*k**4/7 - 312*k**3/7 + 384*k**2/7 = 0.
0, 16/9, 4
Factor -2*p**2 + 2*p + 4.
-2*(p - 2)*(p + 1)
Determine a, given that -a**5 - 3*a**4 + 4*a**3 + 16*a**2 - 16 = 0.
-2, 1, 2
Determine l so that -1155*l**3/2 + 3483*l**2/8 - 93*l + 9/2 = 0.
3/44, 2/7, 2/5
What is l in -2*l**4/7 + 48*l**3/7 + 54*l**2/7 - 100*l/7 = 0?
-2, 0, 1, 25
Solve -c**2/6 - 17*c/3 + 37/2 = 0.
-37, 3
Factor -2*q**4 - 10*q**3 + 62*q**2 - 86*q + 36.
-2*(q - 2)*(q - 1)**2*(q + 9)
Solve g**2 - 6*g - 27 = 0.
-3, 9
Solve 400*g**4/9 + 2060*g**3/9 + 1102*g**2/3 + 1672*g/9 + 242/9 = 0 for g.
-11/5, -1/2, -1/4
Find i, given that i**2 - 158*i - 159 = 0.
-1, 159
Factor 2*a**2 + 720*a - 722.
2*(a - 1)*(a + 361)
Factor 2*n**2 - 4*n - 30.
2*(n - 5)*(n + 3)
Solve n**2/8 = 0.
0
Factor -2*t**3 + 22*t**2 - 38*t + 18.
-2*(t - 9)*(t - 1)**2
Determine x so that -x**5/6 + 19*x**4/6 + x**3/2 - 55*x**2/6 - 19*x/3 = 0.
-1, 0, 2, 19
Factor 7260*h**5 + 22000*h**4 + 67325*h**3/3 + 7925*h**2 + 225*h + 5/3.
5*(h + 1)**3*(66*h + 1)**2/3
Let -4*o**2 + 328*o + 332 = 0. What is o?
-1, 83
Find l such that -22*l**3 + 620*l**2 - 706*l + 108 