4*x/9 - 128/9.
-2*(x - 8)**2*(2*x + 1)/9
Factor 3*v**3/2 + 45*v**2/2 - 3*v/2 - 45/2.
3*(v - 1)*(v + 1)*(v + 15)/2
Factor 4*q**3 + 180*q**2 + 2268*q + 5292.
4*(q + 3)*(q + 21)**2
Let -5*v**5 - 30*v**4 - 40*v**3 = 0. What is v?
-4, -2, 0
Factor 2*c**3/9 + 322*c**2/9 + 1264*c/9 + 1256/9.
2*(c + 2)**2*(c + 157)/9
Find q such that q**4/4 + 44*q**3 + 3783*q**2/2 - 3916*q + 7921/4 = 0.
-89, 1
Factor 3*m**4 - 39*m**3 - 144*m**2.
3*m**2*(m - 16)*(m + 3)
Factor 14*n**4 - 94*n**3 + 112*n**2 + 40*n.
2*n*(n - 5)*(n - 2)*(7*n + 2)
Determine s so that -s**5 - 3*s**4 - 2*s**3 = 0.
-2, -1, 0
Factor -5*z**3 + 5*z**2 + 85*z + 75.
-5*(z - 5)*(z + 1)*(z + 3)
Factor -3*n**2 + 1902*n - 1899.
-3*(n - 633)*(n - 1)
Factor -450*m**3 + 2340*m**2 - 4056*m + 35152/15.
-2*(15*m - 26)**3/15
Factor 8*p**3 + 20*p**2 - 184*p - 96.
4*(p - 4)*(p + 6)*(2*p + 1)
Find a, given that 2*a**3 + 14*a**2 - 132*a - 144 = 0.
-12, -1, 6
Suppose 105*h**4 + 1191*h**3 - 5901*h**2 - 2127*h - 180 = 0. What is h?
-15, -1/5, -1/7, 4
Factor -y**4 + 20*y**3 - 144*y**2 + 448*y - 512.
-(y - 8)*(y - 4)**3
Find a such that 2*a**2/5 - 3448*a/5 + 6888/5 = 0.
2, 1722
Factor -5*z**4 + 45*z**2 + 20*z - 60.
-5*(z - 3)*(z - 1)*(z + 2)**2
Suppose -k**4/4 - 591*k**3/2 - 87615*k**2 - 174050*k = 0. What is k?
-590, -2, 0
Factor 23814*d**2 + 2016*d + 128/3.
2*(189*d + 8)**2/3
Determine f, given that -5*f**2/4 + 125/4 = 0.
-5, 5
Factor -4*u**4 - 176*u**3 - 340*u**2 - 168*u.
-4*u*(u + 1)**2*(u + 42)
Factor 115*i**2 + 6*i/7.
i*(805*i + 6)/7
Factor 2*r**3 - 32*r**2 - 34*r.
2*r*(r - 17)*(r + 1)
Suppose 5*n**4 - 20*n**3 - 10*n**2 + 60*n + 45 = 0. Calculate n.
-1, 3
Factor -2*m**3/9 + 14*m**2/9 + 34*m/9 + 2.
-2*(m - 9)*(m + 1)**2/9
Let 2*q**4/15 + 10*q**3 + 250*q**2 + 6250*q/3 = 0. Calculate q.
-25, 0
Solve 24*h**3 + 129*h**2 + 141*h + 36 = 0 for h.
-4, -1, -3/8
Find n, given that -3*n**3/2 + 18*n**2 + 42*n = 0.
-2, 0, 14
Let 2*f**5 - 12*f**4 + 20*f**3 - 22*f + 12 = 0. Calculate f.
-1, 1, 2, 3
Let -2*l**2/15 + 32*l/15 = 0. Calculate l.
0, 16
Determine j so that -2*j**2/9 - 80*j/9 + 86/3 = 0.
-43, 3
Factor 4*b**2 - 3856*b.
4*b*(b - 964)
Find o such that -4*o**5 + 32*o**4 - 72*o**3 + 64*o**2 - 20*o = 0.
0, 1, 5
Factor -3*u**5/2 + 9*u**3 - 12*u**2 + 9*u/2.
-3*u*(u - 1)**3*(u + 3)/2
Factor -10*b**3 - 28*b**2 + 6*b.
-2*b*(b + 3)*(5*b - 1)
Suppose 3*r**2 - 1098*r + 100467 = 0. Calculate r.
183
Let 2*f**5 - 40*f**4 + 200*f**3 = 0. Calculate f.
0, 10
Factor -5*o**3 - 12915*o**2 + 5*o + 12915.
-5*(o - 1)*(o + 1)*(o + 2583)
Factor -2*d**2/9 + 76*d/9 - 74/9.
-2*(d - 37)*(d - 1)/9
Factor 2*s**2 - 1486*s - 1488.
2*(s - 744)*(s + 1)
What is i in 2*i**2/3 - 178*i - 536/3 = 0?
-1, 268
Factor 2*p**3 - 688*p**2 + 59168*p.
2*p*(p - 172)**2
Factor -2*f**2/7 + 200*f/7 - 198/7.
-2*(f - 99)*(f - 1)/7
Find r such that -r**3/4 + 45*r**2/4 - 150*r + 625 = 0.
10, 25
Solve 7*s**4/6 - 145*s**3/6 + 623*s**2/6 + 1009*s/6 + 39 = 0.
-1, -2/7, 9, 13
Factor p**2/6 + 43*p/6 + 7.
(p + 1)*(p + 42)/6
Solve -12*g**2/7 + 50*g/7 - 8/7 = 0.
1/6, 4
Find f such that 4*f**3 - 24*f**2 = 0.
0, 6
Determine v so that 3*v**5/5 + 24*v**4/5 - 72*v**3/5 - 474*v**2/5 - 651*v/5 - 54 = 0.
-9, -2, -1, 5
Factor 4*p**4 + 376*p**3 - 796*p**2 - 2704*p - 1536.
4*(p - 4)*(p + 1)**2*(p + 96)
Let 5*m**5/3 + 25*m**4 - 260*m**3/3 + 60*m**2 = 0. Calculate m.
-18, 0, 1, 2
Suppose 100*u**4 + 9080*u**3 + 200596*u**2 - 250608*u + 76176 = 0. Calculate u.
-46, 3/5
Find s such that -s**5/5 - 18*s**4/5 - 122*s**3/5 - 76*s**2 - 105*s - 50 = 0.
-5, -2, -1
Factor 3*c**2/2 - 78*c - 162.
3*(c - 54)*(c + 2)/2
Factor a**3 + a**2 - 240*a.
a*(a - 15)*(a + 16)
Solve -56*o**4 - 10*o**3 + 150*o**2 - 100*o + 16 = 0.
-2, 1/4, 4/7, 1
Factor -r**2/6 + 47*r.
-r*(r - 282)/6
Suppose -o**4/2 + 2*o**3 - o**2 - 2*o + 3/2 = 0. Calculate o.
-1, 1, 3
Solve s**4/6 + 101*s**3/6 + 561*s**2 + 17918*s/3 - 19652/3 = 0.
-34, 1
Solve -2*v**2/3 + 3*v + 6 = 0.
-3/2, 6
Let 4*h**5 - 8*h**4 - 4*h**3 + 8*h**2 = 0. What is h?
-1, 0, 1, 2
Factor 4*i**3/5 + 28*i**2/5 + 16*i/5 - 48/5.
4*(i - 1)*(i + 2)*(i + 6)/5
Find b, given that -140*b**5 - 625*b**4 - 930*b**3 - 485*b**2 + 20*b + 60 = 0.
-2, -1, -3/4, 2/7
Factor r**2/3 - 4648*r/3 + 5400976/3.
(r - 2324)**2/3
What is g in -g**2 + 420*g - 44100 = 0?
210
Let -4*g**3/7 - 264*g**2/7 + 170368/7 = 0. Calculate g.
-44, 22
Find i, given that i**2/5 + 232*i/5 + 13456/5 = 0.
-116
Factor 768*m**4/7 + 36096*m**3/7 + 636192*m**2/7 + 4983504*m/7 + 14639043/7.
3*(4*m + 47)**4/7
Factor 2*c**3/5 + 12*c**2/5 + 18*c/5 + 8/5.
2*(c + 1)**2*(c + 4)/5
Factor p**3/4 + 5*p**2/4 - 3*p/2.
p*(p - 1)*(p + 6)/4
Factor -q**2/7 - 131*q/7 - 130/7.
-(q + 1)*(q + 130)/7
Suppose -2*s**3/7 + 1234*s**2/7 - 189726*s/7 - 190962/7 = 0. What is s?
-1, 309
Determine w, given that 2*w**5/9 + 8*w**4/9 - 20*w**2/9 - 2*w/9 + 4/3 = 0.
-3, -2, -1, 1
Determine q so that 2*q**4/19 + 22*q**3/19 + 66*q**2/19 + 74*q/19 + 28/19 = 0.
-7, -2, -1
What is r in -2*r**3/15 - 418*r**2/15 = 0?
-209, 0
Let -5*s**4 + 35*s**3 = 0. What is s?
0, 7
Factor 2*s**2/15 - 2432*s/5 + 2217984/5.
2*(s - 1824)**2/15
Factor -3*r**2 + 1116*r - 103788.
-3*(r - 186)**2
Determine x so that -3*x**3 - 54*x**2 + 3*x + 54 = 0.
-18, -1, 1
Factor 320*x**3 + 790*x**2 + 295*x - 10.
5*(x + 2)*(2*x + 1)*(32*x - 1)
Let 5*u**2/2 - 4755*u/2 + 2375 = 0. What is u?
1, 950
Solve j**5/2 - 47*j**4/6 + 55*j**3/3 - 13*j**2 - j/6 + 13/6 = 0.
-1/3, 1, 13
Factor r**4 + 4*r**3 + 5*r**2 + 2*r.
r*(r + 1)**2*(r + 2)
Determine m, given that -2*m**3 + 74*m**2 - 424*m - 1160 = 0.
-2, 10, 29
Factor -4*b**2 - 89*b - 22.
-(b + 22)*(4*b + 1)
Solve -2*b**2/11 - 14*b/11 + 196/11 = 0 for b.
-14, 7
Find n, given that 2*n**2/17 + 186*n/17 + 184/17 = 0.
-92, -1
Factor 4*r**2 - 2004*r + 2000.
4*(r - 500)*(r - 1)
Factor 5*a**3 + 55*a**2 - 130*a.
5*a*(a - 2)*(a + 13)
Let 4*d**4/7 + 64*d**3/7 - 300*d**2/7 + 56*d - 160/7 = 0. What is d?
-20, 1, 2
Solve 128*z**4 + 2080*z**3 - 1608*z**2 + 406*z - 34 = 0.
-17, 1/4
Solve 55*f**4/2 + 251*f**3/4 - 17*f**2 - 251*f/4 - 21/2 = 0 for f.
-21/10, -1, -2/11, 1
Factor -d**2 + 23*d - 112.
-(d - 16)*(d - 7)
Determine z so that z**5/10 + 7*z**4/10 - 2*z**3/5 - 14*z**2/5 = 0.
-7, -2, 0, 2
Solve y**4/4 + 9*y**3/4 + y**2 - 9*y - 8 = 0.
-8, -2, -1, 2
Factor -2*h**3 + 6*h**2 + 92*h + 144.
-2*(h - 9)*(h + 2)*(h + 4)
Factor -j**2/7 + 6*j/7 + 1.
-(j - 7)*(j + 1)/7
What is j in -5*j**5 - 85*j**4 - 450*j**3 - 540*j**2 + 1080*j = 0?
-6, 0, 1
Find r, given that -4*r**3 + 68*r**2 + 80*r - 144 = 0.
-2, 1, 18
Factor -3*c**2 + 2046*c + 8232.
-3*(c - 686)*(c + 4)
Suppose -3*g**2 + 66*g + 144 = 0. Calculate g.
-2, 24
Solve 2*n**4/5 + 58*n**3/5 + 518*n**2/5 + 294*n = 0.
-15, -7, 0
Factor -2*y**2/5 + 48*y + 242/5.
-2*(y - 121)*(y + 1)/5
Factor 3*b**2 - 1101*b - 1104.
3*(b - 368)*(b + 1)
Factor 4*q**4/3 + 44*q**3 + 124*q**2 + 364*q/3 + 40.
4*(q + 1)**3*(q + 30)/3
Suppose -5*z**4 + 30*z**3 + 2115*z**2 + 17840*z + 43200 = 0. What is z?
-8, -5, 27
Determine x so that -14*x**5/3 - 232*x**4/3 - 9290*x**3/21 - 21844*x**2/21 - 21824*x/21 - 7744/21 = 0.
-44/7, -2, -1
Factor 3*u**4 - 6*u**3 - 15*u**2 + 18*u.
3*u*(u - 3)*(u - 1)*(u + 2)
Find m such that 4*m**4/9 - 272*m**3/9 - 556*m**2/9 - 280*m/9 = 0.
-1, 0, 70
Factor 20*r**3 - 395*r**2 - 100*r.
5*r*(r - 20)*(4*r + 1)
Factor -2*q**2/9 - 16*q/9 - 32/9.
-2*(q + 4)**2/9
Determine b so that -2*b**2/13 + 64*b/13 - 174/13 = 0.
3, 29
Let -6*i**2/5 + 33*i/5 - 27/5 = 0. What is i?
1, 9/2
Determine g, given that -4*g**4 + 144*g**3 + 308*g**2 - 144*g - 304 = 0.
-2, -1, 1, 38
Suppose s**3/2 + 87*s**2/2 + 1935*s/2 + 1849/2 = 0. What is s?
-43, -1
Factor 2*f**4 - 4*f**3 - 38*f**2 - 56*f - 24.
2*(f - 6)*(f + 1)**2*(f + 2)
Find b, given that 40*b**2/3 - 5*b = 0.
0, 3/8
Factor 5*r**4 + 5*r**3 - 80*r**2 - 80*r.
5*r*(r - 4)*(r + 1)*(r + 4)
Factor -a**4 - 12*a**3 + 42*a**2 - 44*a + 15.
-(a - 1)**3*(a + 15)
Factor w**4 + 4*w**3 - 16*w - 16.
(w - 2)*(w + 2)**3
Solve 25*i**2 + 740*i - 300 = 0 for i.
-30, 2/5
Solve 4*g**5 + 60*g**4 + 356*g**3 + 1044*g**2 + 1512*g + 864 = 0 for g.
-4, -3, -2
Determine g, given that -2*g**3 - 104*g**2 + 106*g = 0.
-53, 0, 1
Suppose 10*u**3/3 + 2618*u**2/9 + 688*u/9 - 232/3 = 0. Calculate u.
-87, -2/3, 2/5
Determine i so that -36*i**4 + 100*i**3 - 84*i**2 + 12*i + 8 = 0.
-2/9, 1
What is r in r**5/4 - 3*r**4 - 139*r**3/4 - 199*r**2/2 - 108*r - 40 = 