k**4/4 + 9*k**3 - 21*k**2 + 12*k = 0. Calculate k.
-4, 0, 1, 2
Solve n**4/4 - 3*n**3/4 - 29*n**2/4 + 3*n/4 + 7 = 0 for n.
-4, -1, 1, 7
Factor -5*u**4 + 285*u**2 + 1000*u + 720.
-5*(u - 9)*(u + 1)*(u + 4)**2
Find y such that 7*y**2/2 + 11*y + 3/2 = 0.
-3, -1/7
Factor -y**2/10 - 22*y/5 + 96/5.
-(y - 4)*(y + 48)/10
Factor -5*f**4 + 100*f**3 + 220*f**2.
-5*f**2*(f - 22)*(f + 2)
Factor -a**3/6 - 5*a**2/2 + 87*a/2 + 275/6.
-(a - 11)*(a + 1)*(a + 25)/6
What is k in -k**2/11 + 1295*k/11 + 2594/11 = 0?
-2, 1297
Factor -20*c**5 - 83*c**4 - 132*c**3 - 98*c**2 - 32*c - 3.
-(c + 1)**4*(20*c + 3)
Determine y, given that -10*y**2 + 85*y + 45 = 0.
-1/2, 9
Factor -j**5/4 - 37*j**4/4 - 69*j**3/2 - 101*j**2/2 - 133*j/4 - 33/4.
-(j + 1)**4*(j + 33)/4
Factor 5*v**3 + 85*v**2.
5*v**2*(v + 17)
Determine n so that 9*n**4/4 - 13*n**2/4 + 1 = 0.
-1, -2/3, 2/3, 1
Suppose y**4/2 + 3*y**3 + 6*y**2 + 4*y = 0. Calculate y.
-2, 0
Factor 40*z**3 - 245*z**2 + 390*z - 45.
5*(z - 3)**2*(8*z - 1)
Factor 3*o**3/2 - 15*o**2/2 - 33*o - 24.
3*(o - 8)*(o + 1)*(o + 2)/2
Find b such that b**4/6 - b**3/2 - 12*b**2 + 54*b = 0.
-9, 0, 6
Solve -5*h**5 - 60*h**4 - 230*h**3 - 300*h**2 - 125*h = 0.
-5, -1, 0
Determine t, given that 8*t**5 - 252*t**4 + 721*t**3/2 - 12*t**2 - 179*t/2 - 15 = 0.
-1/4, 1, 30
What is l in -l**3/4 - 31*l**2/4 + 8*l = 0?
-32, 0, 1
Solve 3*x**3/11 - 128*x**2/11 - 175*x/11 - 4 = 0 for x.
-1, -1/3, 44
Let -f**2 - 11*f + 42 = 0. Calculate f.
-14, 3
Solve 6*b**4 - 6*b**3 - 69*b**2/2 + 18*b + 54 = 0 for b.
-3/2, 2
Factor s**4/3 - 13*s**3/3 + 13*s**2 - 9*s.
s*(s - 9)*(s - 3)*(s - 1)/3
Factor -3*y**5/7 + 9*y**4/7 - 6*y**3/7.
-3*y**3*(y - 2)*(y - 1)/7
Solve 5*i**5 + 25*i**4 - 15*i**3 - 85*i**2 - 50*i = 0 for i.
-5, -1, 0, 2
Determine k, given that 2*k**3/11 + 20*k**2/11 + 26*k/11 - 48/11 = 0.
-8, -3, 1
Factor 2*k**3/13 + 14*k**2/13 - 68*k/13 - 80/13.
2*(k - 4)*(k + 1)*(k + 10)/13
Factor -4*m**2/5 + 144*m/5.
-4*m*(m - 36)/5
Solve 2*x**5 + 20*x**4 + 42*x**3 = 0 for x.
-7, -3, 0
Find t such that -3*t**5/2 + 15*t**4 + 111*t**3 - 1242*t**2 + 1701*t/2 + 2187 = 0.
-9, -1, 2, 9
Solve 2*l**4/3 + 16*l**3 + 140*l**2 + 1600*l/3 + 750 = 0 for l.
-9, -5
Factor 4*s**2 + 20*s.
4*s*(s + 5)
Factor 10*r**2/3 + 88*r/3 + 58.
2*(r + 3)*(5*r + 29)/3
Determine p so that 34*p**2/9 + 10*p/3 - 4/9 = 0.
-1, 2/17
Determine h, given that 5*h**5 - 27*h**4 + 10*h**3 = 0.
0, 2/5, 5
Suppose -j**3/6 - 2557*j**2/6 + 5117*j/6 - 853/2 = 0. Calculate j.
-2559, 1
Find m, given that -m**5 - 70*m**4 - 331*m**3 - 386*m**2 + 268*m + 520 = 0.
-65, -2, 1
Suppose 6*b**3/5 - 328*b**2 + 111518*b/5 + 75076/5 = 0. Calculate b.
-2/3, 137
Factor 2*u**4 - 174*u**3 - 180*u**2 + 352*u.
2*u*(u - 88)*(u - 1)*(u + 2)
Factor 5*j**3/3 + 16*j**2/3 + 4*j/3 - 16/3.
(j + 2)**2*(5*j - 4)/3
Determine q, given that -4*q**2 + 276*q - 272 = 0.
1, 68
Factor 20*p**3 + 165*p**2 + 225*p - 270.
5*(p + 3)*(p + 6)*(4*p - 3)
Suppose -112*r**2 + 492*r - 176 = 0. Calculate r.
11/28, 4
Find u, given that -2*u**5/3 + 83*u**4/3 + 43*u**3/3 - 14*u**2 = 0.
-1, 0, 1/2, 42
Let -k**3 + 5*k**2 = 0. Calculate k.
0, 5
What is o in 3*o**3/5 - 15*o**2 + 66*o/5 + 144/5 = 0?
-1, 2, 24
Factor 64*a**3/13 + 98*a**2 + 6280*a/13 - 600/13.
2*(a + 10)**2*(32*a - 3)/13
Factor -4*u**3 - 18592*u**2 - 21603904*u.
-4*u*(u + 2324)**2
Factor 2*g**3 - 11928*g**2 + 23712864*g - 15713724544.
2*(g - 1988)**3
Factor -3*c**3 + 27*c**2 - 54*c.
-3*c*(c - 6)*(c - 3)
Suppose -d**2/2 + 3707*d - 13741849/2 = 0. Calculate d.
3707
Factor -2*a**3 - 54*a**2 - 270*a + 1350.
-2*(a - 3)*(a + 15)**2
Solve -2*t**2 + 144*t - 142 = 0 for t.
1, 71
Suppose -3*g**5 + 69*g**4 + 150*g**3 = 0. What is g?
-2, 0, 25
What is o in -298*o**3 - 2*o**2 = 0?
-1/149, 0
Determine h, given that 20*h**3 + 465*h**2 + 115*h = 0.
-23, -1/4, 0
Factor -q**2 - 6*q - 5.
-(q + 1)*(q + 5)
Factor -2*z**5/3 - 8*z**4/3 + 22*z**3/3 - 4*z**2.
-2*z**2*(z - 1)**2*(z + 6)/3
Let 5*h**3 - 375*h**2 + 6840*h + 7220 = 0. What is h?
-1, 38
Find o, given that -25*o**5 + 95*o**4 - 130*o**3 + 70*o**2 - 5*o - 5 = 0.
-1/5, 1
Factor -5*y**2 - 44120*y - 97328720.
-5*(y + 4412)**2
Let r**4 + 8*r**3 - 220*r**2 + 400*r = 0. What is r?
-20, 0, 2, 10
Let 3*v**5/4 - 11*v**4 - 411*v**3/4 + 474*v**2 - 371*v - 180 = 0. What is v?
-9, -1/3, 2, 20
Factor 2*p**5/13 - 360*p**4/13 + 16200*p**3/13.
2*p**3*(p - 90)**2/13
Factor -5*s**3 - 7670*s**2 - 2933760*s + 5898240.
-5*(s - 2)*(s + 768)**2
Let -28*t**3 + 48*t**2 + 16*t = 0. What is t?
-2/7, 0, 2
Factor -4*s**4 + 8*s**3 + 4*s**2 - 8*s.
-4*s*(s - 2)*(s - 1)*(s + 1)
Factor 2187*a**5 - 16767*a**4 + 35802*a**3 + 2028*a**2 - 52728*a.
3*a*(a + 1)*(9*a - 26)**3
Suppose 15*n**2/2 + 51*n - 21/2 = 0. What is n?
-7, 1/5
Solve 2*j**5/9 - 4*j**4/3 - 8*j**3/9 + 12*j**2 - 10*j = 0.
-3, 0, 1, 3, 5
Find c such that 10*c**5 - 115*c**4 + 230*c**3 - 35*c**2 - 90*c = 0.
-1/2, 0, 1, 2, 9
Factor 4*n**4/3 - 272*n**3/3 + 412*n**2 + 504*n.
4*n*(n - 63)*(n - 6)*(n + 1)/3
Find x such that 31*x**3 - 864*x**2 - 112*x = 0.
-4/31, 0, 28
Let k**3/6 + 35*k**2 + 1650*k + 22500 = 0. What is k?
-150, -30
Factor -2*u**2/19 - 204*u - 98838.
-2*(u + 969)**2/19
What is j in -2*j**5/7 + 6*j**4 - 110*j**3/7 + 30*j**2/7 + 16*j - 72/7 = 0?
-1, 1, 2, 18
Factor 4*p**4/3 + 2104*p**3/3 + 94988*p**2 + 2179744*p/3 + 4293184/3.
4*(p + 4)**2*(p + 259)**2/3
Determine t, given that t**2/5 - 152*t/5 - 153/5 = 0.
-1, 153
Factor -3*s**3/7 + 3*s**2/7 + 12*s/7 - 12/7.
-3*(s - 2)*(s - 1)*(s + 2)/7
What is o in -5*o**4 - 25*o**3 - 15*o**2 + 25*o + 20 = 0?
-4, -1, 1
Factor -364*m**3/3 - 8*m**2.
-4*m**2*(91*m + 6)/3
Factor -9*m**3 + 15*m**2 + 33*m + 9.
-3*(m - 3)*(m + 1)*(3*m + 1)
Factor -3*a**5 + 36*a**4 + 126*a**3 + 132*a**2 + 45*a.
-3*a*(a - 15)*(a + 1)**3
Factor w**5 + 2*w**4 - 8*w**3.
w**3*(w - 2)*(w + 4)
Factor 4*x**2 + 1764*x - 1768.
4*(x - 1)*(x + 442)
Factor -2*p**3/19 - 128*p**2/19 - 928*p/19 - 1792/19.
-2*(p + 4)**2*(p + 56)/19
Factor -3*b**3/7 - 216*b**2/7 - 585*b - 1050.
-3*(b + 2)*(b + 35)**2/7
What is d in -5*d**2 - 130*d - 125 = 0?
-25, -1
Factor 4*p**5 + 184*p**4.
4*p**4*(p + 46)
Let -8*f**5/11 - 138*f**4/11 - 834*f**3/11 - 184*f**2 - 1608*f/11 - 288/11 = 0. Calculate f.
-6, -4, -1, -1/4
Find g such that 3*g**5/8 - 15*g**4/8 + 9*g**3/4 + 3*g**2/2 - 3*g = 0.
-1, 0, 2
Factor -2*r**4 + 808*r**3 - 122412*r**2 + 8242408*r - 208120802.
-2*(r - 101)**4
Factor 3*w**2/7 + 324*w/7 + 8748/7.
3*(w + 54)**2/7
Solve -3*f**5/5 - 12*f**4/5 + 24*f**3/5 + 6*f**2 - 69*f/5 + 6 = 0.
-5, -2, 1
Factor -5*u**4 + 25*u**3 + 440*u**2 + 1040*u.
-5*u*(u - 13)*(u + 4)**2
Factor i**3/3 + 19*i**2/3 - 157*i/3 - 175/3.
(i - 7)*(i + 1)*(i + 25)/3
Factor 2*v**3/13 - 12*v**2/13 + 10*v/13 + 24/13.
2*(v - 4)*(v - 3)*(v + 1)/13
Determine k, given that -2*k**3/7 + 20*k**2/7 - 48*k/7 = 0.
0, 4, 6
Suppose -2*r**2/13 - 82*r/13 + 84/13 = 0. What is r?
-42, 1
Solve 2*k**4/9 + 16*k**3/9 + 46*k**2/9 + 56*k/9 + 8/3 = 0.
-3, -2, -1
Solve h**5 + 41*h**4 + 154*h**3 - 11438*h**2 - 128155*h - 116603 = 0.
-19, -1, 17
Factor t**4/3 - t**3/3 - 4*t**2/3 + 4*t/3.
t*(t - 2)*(t - 1)*(t + 2)/3
Let 2*o**2/11 + 3396*o/11 + 1441602/11 = 0. Calculate o.
-849
Let -3*w**3/7 + 27*w**2 - 3069*w/7 + 2883/7 = 0. What is w?
1, 31
Factor 18*g**2 + 14*g.
2*g*(9*g + 7)
Determine u, given that 2*u**2/7 + 18*u/7 - 612 = 0.
-51, 42
Find s such that s**3 - 5*s**2 + 2*s + 8 = 0.
-1, 2, 4
Factor -6*l**4 - 19*l**3 - 15*l**2 - 2*l.
-l*(l + 1)*(l + 2)*(6*l + 1)
Determine i, given that 4*i**5/9 - 2*i**4/3 - 92*i**3/9 - 2*i**2 + 520*i/9 + 200/3 = 0.
-5/2, -2, 3, 5
Factor -15552*g**3 - 139536*g**2 + 3885*g - 27.
-3*(g + 9)*(72*g - 1)**2
Find f such that 2*f**5 + 10*f**4 - 40*f**2 - 32*f = 0.
-4, -2, -1, 0, 2
What is u in -3*u**2 - 8*u - 4 = 0?
-2, -2/3
Find t such that 7*t**5 + 673*t**4/4 + 333*t**3/2 - 25*t**2/4 - 23*t/2 = 0.
-23, -1, -2/7, 0, 1/4
Factor d**2 - 7*d.
d*(d - 7)
Factor -2*t**4 + 14*t**3 - 2*t**2 - 54*t - 36.
-2*(t - 6)*(t - 3)*(t + 1)**2
Determine s, given that s**5 - 2*s**4 - 18*s**3 + 8*s**2 + 41*s - 30 = 0.
-3, -2, 1, 5
Solve -j**5/4 + 5*j**4 - 99*j**3/4 - 5*j**2 + 25*j = 0.
-1, 0, 1, 10
Suppose -2*j**2/5 + 2324*j/5 - 675122/5 = 0. Calculate j.
581
Determine r, given that -8*r**5 + 18*r**4 + 20*r**3 - 6*r**2 = 0.
-1, 0, 1/4, 3
Determine s, given that -2*s**5 + 2702*s**4 - 10788*s**3 + 16172*s**2 - 10778*s + 2694 = 0.
1, 1347
