+ 52*a**4/9 + 28*a**3 + 60*a**2 + 48*a = 0.
-4, -3, 0
Factor 5*p**4 - 2825*p**3 + 532980*p**2 - 33753520*p + 33223360.
5*(p - 188)**3*(p - 1)
Determine a, given that 3*a**4/4 - 9*a**3/2 + 6*a**2 = 0.
0, 2, 4
Find k such that 19*k**2/3 - 302*k/3 - 32/3 = 0.
-2/19, 16
Determine m so that 2*m**3/13 + 482*m**2/13 - 228*m = 0.
-247, 0, 6
Factor 2*h**2/9 - 28*h/9 - 10/3.
2*(h - 15)*(h + 1)/9
Factor 4*s**2 + 1244*s - 1248.
4*(s - 1)*(s + 312)
Suppose -x**2 + 93*x + 2950 = 0. Calculate x.
-25, 118
Suppose 3*y**2 - 51*y + 90 = 0. What is y?
2, 15
Find n, given that 2*n**4 + 6*n**3 - 66*n**2 + 106*n - 48 = 0.
-8, 1, 3
Solve 3*l**4/5 - 3*l**3/5 - 18*l**2 = 0 for l.
-5, 0, 6
Factor -3*m**2 - 159*m.
-3*m*(m + 53)
Factor 4*z**3/9 + 28*z**2/9 + 20*z/3 + 4.
4*(z + 1)*(z + 3)**2/9
Suppose -5*q**4 + 1375*q**3 - 96570*q**2 + 280160*q - 184960 = 0. What is q?
1, 2, 136
Factor 6*x**4/5 - 24*x**3/5 - 534*x**2/5 - 504*x/5.
6*x*(x - 12)*(x + 1)*(x + 7)/5
Suppose -14*s**5/13 + 2244*s**4/13 - 5064*s**3/13 + 1264*s**2/13 = 0. What is s?
0, 2/7, 2, 158
Factor 2*r**2/21 + 8684*r/21 + 9426482/21.
2*(r + 2171)**2/21
Solve h**4/4 + 73*h**3/2 + 5181*h**2/4 - 2701*h + 1369 = 0.
-74, 1
Let 2*t**4/7 + 6*t**3/7 - 4*t**2/7 - 24*t/7 - 16/7 = 0. Calculate t.
-2, -1, 2
Factor f**2/2 - 67*f/4 - 17/2.
(f - 34)*(2*f + 1)/4
Factor -2*o**4 + 8*o**3 + 4*o**2 - 24*o - 18.
-2*(o - 3)**2*(o + 1)**2
What is g in -4*g**4/13 + 14*g**3/13 - 14*g**2/13 + 4*g/13 = 0?
0, 1/2, 1, 2
Factor c**5 - 37*c**4 + 394*c**3 - 970*c**2 + 901*c - 289.
(c - 17)**2*(c - 1)**3
Solve -a**3/4 - 46*a**2 - 1073*a/4 - 445/2 = 0 for a.
-178, -5, -1
Let y**2 + 523*y - 1050 = 0. What is y?
-525, 2
Determine g, given that -4*g**3 - 8*g**2 = 0.
-2, 0
Factor x**2/2 - 20*x.
x*(x - 40)/2
What is t in 2*t**5/5 - 2*t**4/5 - 2*t**3 - 6*t**2/5 = 0?
-1, 0, 3
Let 185193*a**3/4 - 282663*a**2/4 + 143811*a/4 - 24389/4 = 0. What is a?
29/57
What is v in 4*v**2 + 308*v + 1168 = 0?
-73, -4
Factor 2*m**2/5 - 96*m/5 + 352/5.
2*(m - 44)*(m - 4)/5
Find p such that -196*p**5 + 21280*p**4 - 623632*p**3 + 2471104*p**2 - 1261312*p + 173056 = 0.
2/7, 4, 52
Factor 3*f**4 + 24*f**3 + 63*f**2 + 66*f + 24.
3*(f + 1)**2*(f + 2)*(f + 4)
Factor -5*o**2 - 550*o - 545.
-5*(o + 1)*(o + 109)
Find r, given that -r**3 + 50*r**2 = 0.
0, 50
Factor 3*m**4/8 + 6*m**3 + 24*m**2.
3*m**2*(m + 8)**2/8
Factor 6*m**4 - 28*m**3 + 40*m**2 - 16*m.
2*m*(m - 2)**2*(3*m - 2)
Factor 5*z**2 - 160*z + 1235.
5*(z - 19)*(z - 13)
Factor 16*r**2/7 - 38*r - 102/7.
2*(r - 17)*(8*r + 3)/7
Solve d**3/6 - 30*d**2 + 353*d/6 + 89 = 0.
-1, 3, 178
Suppose -k**3/8 + 5*k**2/4 - 33*k/8 + 9/2 = 0. Calculate k.
3, 4
Factor n**2/6 + 2*n - 15/2.
(n - 3)*(n + 15)/6
Let -2*v**5 - 86*v**4 - 1364*v**3 - 9196*v**2 - 18634*v + 29282 = 0. Calculate v.
-11, 1
Let -5*f**4 + 1030*f**3 + 2075*f**2 + 1040*f = 0. Calculate f.
-1, 0, 208
Suppose -4*i**2 - 8272*i - 4276624 = 0. Calculate i.
-1034
Factor 4*f**2/5 + 152*f/5 + 1248/5.
4*(f + 12)*(f + 26)/5
Solve 2*n**5/7 - 2*n**4 + 26*n**3/7 + 6*n**2/7 - 36*n/7 = 0.
-1, 0, 2, 3
Let c**5 + 5*c**4 - 40*c**2 - 80*c - 48 = 0. What is c?
-2, 3
Factor 3*d**2 + 678*d + 2664.
3*(d + 4)*(d + 222)
Find b such that 2*b**4 + 16*b**3 + 40*b**2 + 32*b = 0.
-4, -2, 0
Suppose 2*h**3/5 + 8*h**2/5 - 2*h/5 - 8/5 = 0. What is h?
-4, -1, 1
Factor -1280*g**4 + 3040*g**3 - 2285*g**2 + 570*g - 45.
-5*(g - 1)**2*(16*g - 3)**2
Factor -2*a**3/5 - 26*a**2/5 - 72*a/5.
-2*a*(a + 4)*(a + 9)/5
Solve -5*k**5 - 50*k**4 - 160*k**3 - 160*k**2 = 0.
-4, -2, 0
Factor -w**4/9 - 172*w**3/9 - 7396*w**2/9.
-w**2*(w + 86)**2/9
Factor 3*x**3 + 105*x**2 + 822*x + 720.
3*(x + 1)*(x + 10)*(x + 24)
Factor -2*c**5/11 - 30*c**4/11 + 102*c**3/11 - 106*c**2/11 + 36*c/11.
-2*c*(c - 1)**3*(c + 18)/11
Factor -2*l**2 - 5*l/2 + 3.
-(l + 2)*(4*l - 3)/2
Factor 115*h**2/2 - 3*h/8.
h*(460*h - 3)/8
What is k in 5*k**4 + 95*k**3 + 660*k**2 + 2000*k + 2240 = 0?
-7, -4
Solve 10*r**4 - 26*r**3 + 18*r**2 + 2*r - 4 = 0 for r.
-2/5, 1
Let -18*q**3 + 15*q**2 + 288*q - 240 = 0. What is q?
-4, 5/6, 4
Solve 2*u**4 + 40*u**3 - 6*u**2 - 116*u + 80 = 0 for u.
-20, -2, 1
Suppose l**3/3 + 31*l**2/3 = 0. Calculate l.
-31, 0
Determine k, given that 4*k**5 - 12*k**4 - 52*k**3 + 188*k**2 - 192*k + 64 = 0.
-4, 1, 4
Determine n so that -39*n**3 - 2151*n**2 - 330*n = 0.
-55, -2/13, 0
Let -5*l**4 - 4*l**3 + 96*l**2/5 + 16*l + 16/5 = 0. What is l?
-2, -2/5, 2
Factor -5*v**4 - 205*v**3 - 2155*v**2 - 1955*v.
-5*v*(v + 1)*(v + 17)*(v + 23)
Factor -2*p**4 + 38*p**3 + 40*p**2.
-2*p**2*(p - 20)*(p + 1)
Factor -2*i**3/11 - 170*i**2/11 - 1456*i/11 + 102752/11.
-2*(i - 19)*(i + 52)**2/11
Let -54*v**3/5 + 48*v**2/5 - 32*v/15 = 0. What is v?
0, 4/9
Factor -8*f**5/3 - 22*f**4/3 - 6*f**3 - 2*f**2/3 + 2*f/3.
-2*f*(f + 1)**3*(4*f - 1)/3
Suppose 9*a**3 + 10*a**2 + a = 0. What is a?
-1, -1/9, 0
Factor 5*n**3 + 75*n**2 - 90*n - 160.
5*(n - 2)*(n + 1)*(n + 16)
Factor -2*g**4/9 + 4*g**2/9 - 2/9.
-2*(g - 1)**2*(g + 1)**2/9
Suppose 3*a**5 + 57*a**4 + 105*a**3 + 51*a**2 = 0. What is a?
-17, -1, 0
Suppose 3*k**3 + 99*k**2 + 189*k + 93 = 0. Calculate k.
-31, -1
Determine b so that -b**2/4 + 10*b + 41/4 = 0.
-1, 41
Let -4*a**3/3 + 632*a**2/3 - 24320*a/3 - 51200/3 = 0. What is a?
-2, 80
Determine g, given that 3*g**3/2 - 63*g**2/2 + 27*g + 60 = 0.
-1, 2, 20
Let 4*u**2 + 4*u - 80 = 0. What is u?
-5, 4
Factor -x**3 + 15*x**2 + 352*x + 336.
-(x - 28)*(x + 1)*(x + 12)
Factor 18*s**3/7 - 66*s**2/7 - 144*s/7 + 120/7.
6*(s - 5)*(s + 2)*(3*s - 2)/7
Factor -34*h**2/5 - 6*h/5.
-2*h*(17*h + 3)/5
Find y, given that -2*y**4/5 + 52*y**3/5 - 96*y**2/5 = 0.
0, 2, 24
Let 2*l**2/21 - 34*l/7 - 104/21 = 0. Calculate l.
-1, 52
Factor 3*n**2/5 + 243*n/5 - 246/5.
3*(n - 1)*(n + 82)/5
Factor 12*u**4 + 68*u**3 + 120*u**2 + 64*u.
4*u*(u + 1)*(u + 2)*(3*u + 8)
Factor 2*t**2/15 + 244*t/5 - 1472/15.
2*(t - 2)*(t + 368)/15
Let 2*y**2 - 616*y + 614 = 0. What is y?
1, 307
Factor c**3/4 + 19*c**2/4 - c - 19.
(c - 2)*(c + 2)*(c + 19)/4
Determine q so that 2*q**5/3 - 12*q**4 - 14*q**3/3 + 688*q**2 - 672*q = 0.
-7, 0, 1, 12
Determine f so that -18*f**5 + 75*f**4 - 105*f**3 + 60*f**2 - 12*f = 0.
0, 1/2, 2/3, 1, 2
Factor -25*d**2 + 182*d + 1128.
-(d + 4)*(25*d - 282)
Solve 2*i**3/9 - 28*i**2/9 + 26*i/9 = 0 for i.
0, 1, 13
Find t, given that 2*t**5/9 - 22*t**4/9 - 26*t**3 - 42*t**2 + 96*t + 216 = 0.
-3, 2, 18
Factor 3*d**4/8 + 3*d**3/8 - 33*d**2/4 + 33*d/2 - 9.
3*(d - 2)**2*(d - 1)*(d + 6)/8
Suppose c**2 + 5*c - 14 = 0. Calculate c.
-7, 2
Suppose 2*z**2 - 4*z + 2 = 0. What is z?
1
Find r, given that r**3 - 6*r**2 + 12*r - 8 = 0.
2
Factor k**4 - 23*k**3 - k**2 + 23*k.
k*(k - 23)*(k - 1)*(k + 1)
Factor 2*t**4 - 6*t**3 - 32*t**2 - 24*t.
2*t*(t - 6)*(t + 1)*(t + 2)
Factor -p**4 + 126*p**3 + 260*p**2 - 504*p - 1024.
-(p - 128)*(p - 2)*(p + 2)**2
Factor 36963*r**2 - 1332*r + 12.
3*(111*r - 2)**2
Suppose 2*x**4/5 - 58*x**3/5 + 44*x**2/5 + 336*x/5 = 0. What is x?
-2, 0, 3, 28
Solve w**5/2 + 2*w**4 - 13*w**3/2 - 2*w**2 + 6*w = 0 for w.
-6, -1, 0, 1, 2
Factor 23*q**4 + 43*q**3 - 6*q**2.
q**2*(q + 2)*(23*q - 3)
Factor -r**3/2 - 3*r**2 + 15*r/2 - 4.
-(r - 1)**2*(r + 8)/2
Solve -b**2/8 - 67*b/4 - 4489/8 = 0 for b.
-67
Factor h**3/6 - 7*h**2/3 - h/6 + 7/3.
(h - 14)*(h - 1)*(h + 1)/6
Find u, given that -3*u**4/4 - 81*u**3/4 - 75*u**2 + 864*u - 768 = 0.
-16, 1, 4
Determine l so that 2*l**5/19 - 14*l**4/19 + 26*l**3/19 - 2*l**2/19 - 28*l/19 + 16/19 = 0.
-1, 1, 2, 4
Solve -a**5 + 9*a**3 - 4*a**2 - 12*a = 0 for a.
-3, -1, 0, 2
Suppose -v**3/3 - 8*v**2/3 + 5*v + 18 = 0. Calculate v.
-9, -2, 3
What is d in -d**2/4 - 751*d/4 - 375/2 = 0?
-750, -1
Find m, given that 3*m**5 - 81*m**4 - 1776*m**3 - 4716*m**2 - 3024*m = 0.
-12, -2, -1, 0, 42
Solve 12967168*d**4 - 131424*d**3 + 444*d**2 - d/2 = 0 for d.
0, 1/296
Factor n**3/9 + 25*n**2/9 - 26*n/9.
n*(n - 1)*(n + 26)/9
Factor u**4/3 + 4*u**3 - 84*u**2 + 288*u.
u*(u - 6)**2*(u + 24)/3
Solve -9*g**5 + 65*g**4 + 121*g**3 - 1605*g**2 + 2600*g - 500 = 0 for g.
-5, 2/9, 2, 5
Let 28*t**3 - 580*t**2 - 30408*t - 8640 = 0. What is t?
-24, -2/7, 45
Let 4*b**2/3 - 28*b/3 + 49/3 = 0. Calculate b.
7/2
Let 9*l**3 - 12*l**2 + 3*l = 0. Calculate l.
0, 1/3, 1
Suppose -6*w**5/5 + 63*w**4/5 + 204*w**3/5 - 1197*w**2/5 + 108*w = 0. What is w?
-5, 0, 1/2, 3, 12
Suppose 3*s**5 + 3*s**4 - 15*s**3 + 9*s**2 = 0. Calc