f**2 - 88*f = 0.
-22, 0
Factor 52*a**2/5 - 94*a + 18/5.
2*(a - 9)*(26*a - 1)/5
Factor -576*s**2 + 96*s - 4.
-4*(12*s - 1)**2
Determine h, given that 8*h**4 + 78*h**3 + 180*h**2 - 50*h = 0.
-5, 0, 1/4
Factor 6*c**3/5 + 38196*c**2/5 + 60788934*c/5.
6*c*(c + 3183)**2/5
Suppose 2*j**5/7 + 12*j**4/7 - 158*j**3/7 - 24*j**2 = 0. Calculate j.
-12, -1, 0, 7
Factor -u**5/2 + 11*u**4/2 + 3*u**3 - 37*u**2 + 91*u/2 - 33/2.
-(u - 11)*(u - 1)**3*(u + 3)/2
Solve -14*d**3/23 - 166*d**2/23 - 130*d/23 + 22/23 = 0 for d.
-11, -1, 1/7
Determine h, given that -15*h**4 - 66*h**3 + 141*h**2 - 24*h - 36 = 0.
-6, -2/5, 1
Factor -5*n**2 - 13240*n - 8764880.
-5*(n + 1324)**2
Factor 3*u**3 - 9*u - 6.
3*(u - 2)*(u + 1)**2
Factor 2*g**3/11 + 106*g**2/11 - 448*g/11 + 456/11.
2*(g - 2)**2*(g + 57)/11
Solve -r**4/4 + 51*r**3/4 - 73*r**2/2 + 24*r = 0 for r.
0, 1, 2, 48
Solve -w**2/3 - 826*w/3 + 552 = 0 for w.
-828, 2
Find l, given that -2*l**2 - 972*l - 118098 = 0.
-243
Factor -2*c**5 - 72*c**4 - 978*c**3 - 6140*c**2 - 17400*c - 18000.
-2*(c + 3)**2*(c + 10)**3
Factor -q**5/7 + 3*q**3/7 - 2*q**2/7.
-q**2*(q - 1)**2*(q + 2)/7
Factor -4*t**5 - 424*t**4 - 12448*t**3 - 64832*t**2 - 123200*t - 80000.
-4*(t + 2)**3*(t + 50)**2
Determine i so that -4*i**5/7 + 32*i**4/7 + 16*i**3/7 - 128*i**2/7 = 0.
-2, 0, 2, 8
Suppose 2*b**2/5 + 14*b/5 - 104 = 0. Calculate b.
-20, 13
Factor 3*z**2/5 - 129*z/5 + 72.
3*(z - 40)*(z - 3)/5
Factor -4*k**2 - 44*k + 104.
-4*(k - 2)*(k + 13)
Factor -50*g**2 - 395*g + 40.
-5*(g + 8)*(10*g - 1)
Factor 2*y**3/7 - 6*y**2/7 - 8*y/7 + 24/7.
2*(y - 3)*(y - 2)*(y + 2)/7
Factor -52*n**2 + 160*n - 108.
-4*(n - 1)*(13*n - 27)
What is z in -4*z**3/9 - 68*z**2/9 + 232*z/9 - 160/9 = 0?
-20, 1, 2
Factor -18*o**3/7 - 2*o**2 + 4*o/7.
-2*o*(o + 1)*(9*o - 2)/7
Factor 15*v**3/7 + 858*v**2/7 + 11919*v/7 - 10092/7.
3*(v + 29)**2*(5*v - 4)/7
Factor -5*j**4 + 15*j**3 + 20*j**2.
-5*j**2*(j - 4)*(j + 1)
Determine m so that -203*m**3/2 - 2*m**2 + 203*m/2 + 2 = 0.
-1, -4/203, 1
Suppose q**3/2 - 11*q**2 + 37*q/2 + 30 = 0. Calculate q.
-1, 3, 20
Solve h**5 - 7*h**4 - 3*h**3 + 23*h**2 - 14*h = 0.
-2, 0, 1, 7
Factor -2*v**4 - 216*v**3 - 5832*v**2.
-2*v**2*(v + 54)**2
Factor r**3/4 + 2829*r**2/2 + 2667747*r + 1677123614.
(r + 1886)**3/4
Determine v, given that 9*v**2/7 - 78*v + 360/7 = 0.
2/3, 60
Factor -2*i**3/5 - 18*i**2/5 - 54*i/5 - 54/5.
-2*(i + 3)**3/5
Factor 15*y**4 - 144*y**3 + 360*y**2 - 192*y - 144.
3*(y - 6)*(y - 2)**2*(5*y + 2)
Find f such that 3*f**5 + 39*f**4 + 102*f**3 - 240*f**2 - 672*f + 768 = 0.
-8, -4, 1, 2
Let -2*y**4/7 - 130*y**3/7 - 2088*y**2/7 - 10760*y/7 - 8800/7 = 0. What is y?
-44, -10, -1
Factor -y**4/5 - y**3/5 + 4*y**2/5 + 4*y/5.
-y*(y - 2)*(y + 1)*(y + 2)/5
Factor 6*w**2 - 26*w/3 - 28.
2*(w - 3)*(9*w + 14)/3
Solve -k**5/5 - 14*k**4/5 + 7*k**3/5 + 92*k**2/5 - 84*k/5 = 0 for k.
-14, -3, 0, 1, 2
Solve -n**5/2 - 8*n**4 - 89*n**3/2 - 103*n**2 - 102*n - 36 = 0.
-6, -2, -1
Solve -g**2 - 83*g - 532 = 0.
-76, -7
What is w in w**5/5 + 6*w**4/5 + 2*w**3 - 11*w/5 - 6/5 = 0?
-3, -2, -1, 1
Solve -2*z**4/19 + 70*z**3/19 + 230*z**2/19 - 70*z/19 - 12 = 0 for z.
-3, -1, 1, 38
Let -7*f**5 - 233*f**4 - 668*f**3 + 668*f**2 + 240*f = 0. Calculate f.
-30, -4, -2/7, 0, 1
Solve p**4/8 - 25*p**3/4 + 13*p**2/8 + 3825*p/2 + 23409/2 = 0.
-9, 34
Solve -2*l**4/7 - 48*l**3/7 - 214*l**2/7 + 48*l/7 + 216/7 = 0.
-18, -6, -1, 1
Factor 4*v**3/5 + 16*v**2 - 3648*v/5 + 25344/5.
4*(v - 12)**2*(v + 44)/5
Factor -5*y**3 + 5*y**2 + 30*y.
-5*y*(y - 3)*(y + 2)
Let -v**5 - 4*v**4 + 5*v**3 + 20*v**2 - 4*v - 16 = 0. What is v?
-4, -2, -1, 1, 2
Determine p so that 2*p**2/5 + 20*p/3 + 416/15 = 0.
-26/3, -8
Let 27*k**5 + 29*k**4 + 2*k**3 = 0. Calculate k.
-1, -2/27, 0
Factor -2*x**5/5 + 4*x**4/5 - 2*x**3/5.
-2*x**3*(x - 1)**2/5
Let 6*o**5/5 + 1696*o**4/5 - 1601*o**3/2 - 7123*o**2/10 + 573*o/10 + 171/2 = 0. What is o?
-285, -1/2, 1/3, 3
Let 3*b**5 - 48*b**4 + 303*b**3 - 942*b**2 + 1440*b - 864 = 0. Calculate b.
2, 3, 4
Determine d so that -5*d**4/3 + 46*d**3/3 + 107*d**2/3 + 56*d/3 = 0.
-1, 0, 56/5
Factor -q**3/3 - q**2/3 + 22*q/3 + 40/3.
-(q - 5)*(q + 2)*(q + 4)/3
Factor -j**4 - 25*j**3 - 166*j**2 - 96*j + 288.
-(j - 1)*(j + 2)*(j + 12)**2
Factor -2*s**4 - 72*s**3.
-2*s**3*(s + 36)
Factor v**4/3 - 11*v**3/3 - 4*v**2.
v**2*(v - 12)*(v + 1)/3
Find x, given that -35*x**3 + 190*x**2 + 365*x + 140 = 0.
-1, -4/7, 7
Factor -2*l**2/17 + 116*l/17 + 768/17.
-2*(l - 64)*(l + 6)/17
Factor 2*c**4 - 66*c**3 + 186*c**2 - 182*c + 60.
2*(c - 30)*(c - 1)**3
Suppose v**3/4 + 65*v**2/4 + 1023*v/4 - 1089/4 = 0. What is v?
-33, 1
Factor 3*p**2/7 + 39*p/7 + 90/7.
3*(p + 3)*(p + 10)/7
Determine b, given that 399*b**3/5 - 222*b**2/5 - 159*b/5 - 18/5 = 0.
-2/7, -3/19, 1
Factor y**2/6 + 13*y/3 - 477/2.
(y - 27)*(y + 53)/6
Solve 4*l**2 + 44*l - 48 = 0 for l.
-12, 1
Factor 2*z**5/7 - 2*z**4 + 6*z**3/7 + 46*z**2/7 - 64*z/7 + 24/7.
2*(z - 6)*(z - 1)**3*(z + 2)/7
What is l in -l**3/5 + 41*l**2/5 + 17*l + 43/5 = 0?
-1, 43
Factor -3645*u**2/8 + 3639*u/8 + 3/4.
-3*(u - 1)*(1215*u + 2)/8
Factor 5*a**3/2 - 1985*a**2 - 7955*a/2 - 1990.
5*(a - 796)*(a + 1)**2/2
Find p, given that -100*p**4/7 - 880*p**3/7 - 2256*p**2/7 - 1408*p/7 - 256/7 = 0.
-4, -2/5
Determine c, given that -c**2/4 - 82*c - 327/4 = 0.
-327, -1
Factor 2*s**2 + 428*s + 22898.
2*(s + 107)**2
Factor -n**2 + 60*n - 900.
-(n - 30)**2
Let s**2/6 + 11*s/6 + 5 = 0. Calculate s.
-6, -5
Let -4*k**2 + 572*k - 568 = 0. What is k?
1, 142
Find c such that 2*c**5/9 - 8*c**4/9 - 8*c**3/9 + 44*c**2/9 + 2*c/3 - 4 = 0.
-2, -1, 1, 3
Let v**3/5 - 21*v**2/5 + 98*v/5 - 24 = 0. What is v?
2, 4, 15
Determine v, given that 2*v**5 - 76*v**4 - 442*v**3 + 452*v**2 + 2816*v - 2752 = 0.
-4, 1, 2, 43
Suppose 2*u**5/3 - 80*u**4/3 + 424*u**3/3 - 532*u**2/3 - 142*u + 204 = 0. What is u?
-1, 1, 3, 34
Factor 2*i**4 - 4*i**3 - 6*i**2.
2*i**2*(i - 3)*(i + 1)
Suppose -2*r**4 - 2*r**3 + 2*r**2 + 2*r = 0. What is r?
-1, 0, 1
Suppose -2*g**5/7 + 262*g**4/7 - 8448*g**3/7 - 8712*g**2/7 = 0. What is g?
-1, 0, 66
Factor 3*u**2 - 624*u + 32448.
3*(u - 104)**2
Factor 2*b**4/7 + 18*b**3/7 + 54*b**2/7 + 54*b/7.
2*b*(b + 3)**3/7
Solve 27*r**4/5 + 15*r**3 - 504*r**2/5 + 108*r/5 = 0 for r.
-6, 0, 2/9, 3
Find u such that 2*u**2 + 20*u + 18 = 0.
-9, -1
Find d, given that -51*d**3 - 15549*d**2 - 13674*d + 1824 = 0.
-304, -1, 2/17
Factor 2*f**2/7 - 22*f/7 - 12.
2*(f - 14)*(f + 3)/7
Factor 4*t**3/9 - 628*t/9 + 208/3.
4*(t - 12)*(t - 1)*(t + 13)/9
Factor -n**2/8 - 15*n/2 + 31/2.
-(n - 2)*(n + 62)/8
Factor 3*y**4/5 - 27*y**3/5 + 18*y**2/5 + 48*y/5.
3*y*(y - 8)*(y - 2)*(y + 1)/5
Factor 4*u**2/5 + 92*u/5 + 168/5.
4*(u + 2)*(u + 21)/5
Determine r so that -r**2 + r + 30 = 0.
-5, 6
Factor o**3 + 51*o**2 + 144*o.
o*(o + 3)*(o + 48)
Factor 3*p**4 - 15*p**3 - 54*p**2 + 384*p - 480.
3*(p - 4)**2*(p - 2)*(p + 5)
Factor -l**2/2 - 650*l - 211250.
-(l + 650)**2/2
Factor -2*z**2/11 + 14*z/11 + 120/11.
-2*(z - 12)*(z + 5)/11
Find q, given that -3*q**5 - 12*q**4 + 33*q**3 - 18*q**2 = 0.
-6, 0, 1
Suppose -4*o**5/9 - 8*o**4/9 + 64*o**3/9 + 8*o**2/9 - 20*o/3 = 0. Calculate o.
-5, -1, 0, 1, 3
Factor -3*a**2 - 564*a.
-3*a*(a + 188)
Factor -2*r**4 + 44*r**3 + 1166*r**2 + 6112*r + 4992.
-2*(r - 39)*(r + 1)*(r + 8)**2
Factor -z**2/5 + 26*z - 845.
-(z - 65)**2/5
Factor 20*t**2 - 56*t + 36.
4*(t - 1)*(5*t - 9)
Factor u**3/9 - 98*u**2/9 - 101*u/9 + 22.
(u - 99)*(u - 1)*(u + 2)/9
Let z**2 - 111*z - 112 = 0. What is z?
-1, 112
Solve -3*y**4 + 3*y**3 + 33*y**2 - 27*y - 54 = 0 for y.
-3, -1, 2, 3
Factor 4*v**2 - 236*v.
4*v*(v - 59)
Factor z**2/5 + 23*z/5 + 42/5.
(z + 2)*(z + 21)/5
Determine y so that -20*y**3 - 18432*y**2 - 4243044*y + 1700168 = 0.
-461, 2/5
Suppose 2*p**4 - 18*p**3 + 18*p**2 + 98*p + 60 = 0. Calculate p.
-1, 5, 6
Determine z so that -4*z**3/9 + 10*z**2/9 + 56*z/9 - 10/3 = 0.
-3, 1/2, 5
Factor 3*n**2 - 354*n/5 + 207/5.
3*(n - 23)*(5*n - 3)/5
Factor 3*b**2 + 4896*b + 1997568.
3*(b + 816)**2
Factor -5*z**3 - 55*z**2 + 70*z + 120.
-5*(z - 2)*(z + 1)*(z + 12)
Factor 5*w**2 - 530*w - 1080.
5*(w - 108)*(w + 2)
Let -2*r**5 - 4*r**4 + 12*r**3 + 8*r**2 - 26*r + 12 = 0. What is r?
-3, -2, 1
Factor 2*j**2/17 - 120*j/17.
2*j*(j - 60)/17
Factor 2*o**5/5 - 16*o**4/5 + 36*o**3/5 - 32*o**2/5 + 2*o.
2*o*(o - 5)*(o - 1)**3/5
Find n, given that 21*n**2/5 + 12*n/5 - 33/5 = 