**2*(s + 12)/5
Determine j, given that 2*j**2 + 24*j - 1728 = 0.
-36, 24
Factor -6*p**4 + 32*p**3 + 26*p**2 - 12*p.
-2*p*(p - 6)*(p + 1)*(3*p - 1)
Find m such that 2*m**4 - 36*m**3 - 2*m**2 + 36*m = 0.
-1, 0, 1, 18
Factor -2*k**3 - 82*k**2 + 84*k.
-2*k*(k - 1)*(k + 42)
Factor t**3/3 - 4*t**2 - 48*t + 576.
(t - 12)**2*(t + 12)/3
Factor 2*x**3 - 20*x**2 + 34*x - 16.
2*(x - 8)*(x - 1)**2
Determine h so that -2*h**2/11 - 230*h/11 + 232/11 = 0.
-116, 1
Let -12*y**5/7 - 220*y**4/7 - 76*y**3 + 612*y**2 - 5456*y/7 + 1936/7 = 0. Calculate y.
-11, 2/3, 1, 2
Suppose 4*s**5 - 8*s**4 = 0. What is s?
0, 2
Determine s so that 2*s**2 - 2916*s + 1062882 = 0.
729
Let -3*d**3/7 + 936*d**2/7 - 97344*d/7 + 3374592/7 = 0. Calculate d.
104
Solve 5*y**5/4 + 55*y**4/4 + 165*y**3/4 + 185*y**2/4 + 35*y/2 = 0.
-7, -2, -1, 0
Suppose -3*h**5/8 - 3*h**4 + 21*h**3/8 + 273*h**2/4 + 351*h/2 + 135 = 0. What is h?
-6, -3, -2, 5
Factor 49*u**4/5 + 511*u**3/5 + 578*u**2/5 - 92*u + 72/5.
(u + 2)*(u + 9)*(7*u - 2)**2/5
Factor 3*k**2/7 - 3702*k/7 + 1142067/7.
3*(k - 617)**2/7
Suppose 3*y**3 + 180*y**2 - 561*y + 378 = 0. What is y?
-63, 1, 2
Factor 9*m**3/2 - 3*m**2/2.
3*m**2*(3*m - 1)/2
Find d, given that -2*d**2/5 + 134*d/5 + 492 = 0.
-15, 82
Factor 4*x**3 + 136*x**2 + 256*x.
4*x*(x + 2)*(x + 32)
Let -16*t**4 - 172*t**3 + 444*t**2 - 308*t + 52 = 0. Calculate t.
-13, 1/4, 1
Determine l so that -8*l**5 - 44*l**4 + 236*l**3 - 160*l**2 - 144*l = 0.
-9, -1/2, 0, 2
What is o in 5*o**2 + 90*o = 0?
-18, 0
Factor 5*o**4 - 165*o**3 - 6535*o**2 - 42315*o + 49010.
5*(o - 58)*(o - 1)*(o + 13)**2
Let -3*w**3 + 48*w**2 - 243*w + 378 = 0. What is w?
3, 6, 7
Solve -i**4 - 53*i**3 - 201*i**2 - 247*i - 98 = 0 for i.
-49, -2, -1
Solve g**4/4 + 7*g**3/2 + 73*g**2/4 + 42*g + 36 = 0.
-4, -3
Factor -5*t**3 + 35*t**2 - 70*t + 40.
-5*(t - 4)*(t - 2)*(t - 1)
Factor 3*x**3 - 231*x**2 - 471*x - 237.
3*(x - 79)*(x + 1)**2
Find z, given that 3*z**3 - 12*z**2 - 84*z - 96 = 0.
-2, 8
Determine q so that -q**5/3 - 5*q**4/3 + 14*q**3 - 76*q**2/3 + 40*q/3 = 0.
-10, 0, 1, 2
Factor -s**4/3 - s**3/3 + 4*s**2/3 + 4*s/3.
-s*(s - 2)*(s + 1)*(s + 2)/3
Find s, given that -121*s**4 + 297*s**3 - 240*s**2 + 64*s = 0.
0, 8/11, 1
Factor -2*l**2/17 + 1244*l/17 + 3750/17.
-2*(l - 625)*(l + 3)/17
Find m such that -27*m**5/7 - 306*m**4/7 + 276*m**3/7 + 744*m**2/7 + 288*m/7 = 0.
-12, -2/3, 0, 2
Solve 55*u**5 + 1810*u**4 + 3300*u**3 + 1390*u**2 - 155*u = 0 for u.
-31, -1, 0, 1/11
Suppose -2*x**5/13 + 120*x**3/13 + 160*x**2/13 - 1920*x/13 - 4608/13 = 0. What is x?
-4, 6
Let 3*k**3 + 48*k**2 = 0. What is k?
-16, 0
Factor -r**2 - 1028*r + 1029.
-(r - 1)*(r + 1029)
Find n, given that n**2/4 - 158*n + 24964 = 0.
316
Factor -4*l**2/5 + 84*l/5 - 64.
-4*(l - 16)*(l - 5)/5
Factor 5*n**5 - 20*n**4 - 15*n**3 + 50*n**2 + 40*n.
5*n*(n - 4)*(n - 2)*(n + 1)**2
Suppose 4*v**3 - 8*v**2 - 52*v - 40 = 0. What is v?
-2, -1, 5
Factor -f**4/4 + f**3/2 + 6*f**2.
-f**2*(f - 6)*(f + 4)/4
Solve -3*y**5/2 - 155*y**4/8 - 193*y**3/4 - 375*y**2/8 - 19*y - 5/2 = 0.
-10, -1, -2/3, -1/4
Factor 2*z**5/3 - 6*z**4 + 40*z**3/3.
2*z**3*(z - 5)*(z - 4)/3
Solve -m**4 - 27*m**3 - 240*m**2 - 700*m = 0.
-10, -7, 0
Factor -3*o**3/4 + 3*o.
-3*o*(o - 2)*(o + 2)/4
Factor -d**4/6 + 9*d**3/2 - 109*d**2/3 + 80*d - 48.
-(d - 12)**2*(d - 2)*(d - 1)/6
Factor -2*i**3/3 + 18*i**2 - 52*i/3.
-2*i*(i - 26)*(i - 1)/3
Determine j, given that 2*j**4/3 - 52*j**3/3 - 2*j**2/3 + 52*j/3 = 0.
-1, 0, 1, 26
Factor 6*n**3/5 + 2436*n**2/5 + 237222*n/5 - 2056752/5.
6*(n - 8)*(n + 207)**2/5
Factor -5*f**2 + 2190*f - 239805.
-5*(f - 219)**2
Find f such that 3*f**5 - 29*f**4 + 39*f**3 + 13*f**2 - 42*f + 16 = 0.
-1, 2/3, 1, 8
Let -9*j**2 + 110*j - 24 = 0. What is j?
2/9, 12
Factor 3*k**3/4 + 909*k**2/4.
3*k**2*(k + 303)/4
Suppose -15*c**3 - 66*c**2 - 84*c - 24 = 0. What is c?
-2, -2/5
Determine o so that 5*o**4 + 570*o**3 + 15180*o**2 - 275080*o - 11680320 = 0.
-46, 24
Suppose 2*d**2 - 1200*d + 180000 = 0. Calculate d.
300
Factor -12*i**4/5 - 28*i**3 - 384*i**2/5 + 144*i/5.
-4*i*(i + 6)**2*(3*i - 1)/5
Factor -3*k**2 - 18*k + 21.
-3*(k - 1)*(k + 7)
Factor 2*t**4/13 + 880*t**3/13 + 95916*t**2/13 - 14960*t + 7514.
2*(t - 1)**2*(t + 221)**2/13
Factor -2*h**2/13 + 32*h/13 - 96/13.
-2*(h - 12)*(h - 4)/13
Find h, given that 8*h**4/9 + 14*h**3/9 - 4*h**2/3 - 14*h/9 + 4/9 = 0.
-2, -1, 1/4, 1
Let -3*r**2 + 57*r + 126 = 0. Calculate r.
-2, 21
Factor 2*k**2 + 34*k + 84.
2*(k + 3)*(k + 14)
Find u, given that 2*u**5/5 + 28*u**4/5 + 102*u**3/5 + 20*u**2 - 88*u/5 - 144/5 = 0.
-9, -2, 1
Solve 36*h**5 - 180*h**4 + 332*h**3 - 284*h**2 + 112*h - 16 = 0.
1/3, 2/3, 1, 2
Solve 20*m**4 + 45*m**3 + 10*m**2 = 0 for m.
-2, -1/4, 0
Let -196*z**5 + 1680*z**4 + 852*z**3 - 880*z**2 + 144*z = 0. Calculate z.
-1, 0, 2/7, 9
Factor 10*i**4 - 4*i**3 - 6*i**2.
2*i**2*(i - 1)*(5*i + 3)
Find u, given that 2*u**5 + 48*u**4 + 308*u**3 + 216*u**2 - 310*u - 264 = 0.
-12, -11, -1, 1
Suppose -y**3/2 - 8*y**2 = 0. Calculate y.
-16, 0
Suppose -6*s**3 - 34*s**2 - 20*s = 0. What is s?
-5, -2/3, 0
Let -6*j**5/11 - 10*j**4/11 + 10*j**3/11 + 10*j**2/11 - 4*j/11 = 0. Calculate j.
-2, -1, 0, 1/3, 1
Solve -3*y**4/2 - 225*y**3/2 - 2049*y**2 + 2394*y + 4332 = 0.
-38, -1, 2
Factor -30*n**3 + 4075*n**2 - 138040*n - 23120.
-5*(n - 68)**2*(6*n + 1)
What is q in -q**3/4 + 63*q**2 - 2445*q/4 + 3025/2 = 0?
5, 242
Solve -3*t**5 + 6*t**4 + 30*t**3 - 60*t**2 - 27*t + 54 = 0.
-3, -1, 1, 2, 3
Factor -q**2 - 16*q - 39.
-(q + 3)*(q + 13)
Suppose 18*n**3/11 - 6*n**2 - 114*n/11 - 30/11 = 0. Calculate n.
-1, -1/3, 5
Factor 5*b**4 - 2380*b**3 - 15*b**2 + 7130*b + 4760.
5*(b - 476)*(b - 2)*(b + 1)**2
Suppose y**5/4 + 9*y**4/4 + 13*y**3/2 + 9*y**2/2 - 27*y/4 - 27/4 = 0. Calculate y.
-3, -1, 1
Factor -12*p**3 - 274*p**2 - 1394*p + 240.
-2*(p + 8)*(p + 15)*(6*p - 1)
Suppose -2*b**5 - 22*b**4 - 84*b**3 - 136*b**2 - 80*b = 0. What is b?
-5, -2, 0
Factor -93*w**2 + 87*w + 6.
-3*(w - 1)*(31*w + 2)
Determine g, given that 5*g**5/2 - 1025*g**4/2 + 9815*g**3/2 - 12375*g**2/2 - 29160*g - 17550 = 0.
-1, 6, 195
Solve -2*d**3/5 - 18*d**2/5 - 8*d - 24/5 = 0.
-6, -2, -1
Let -d**4/6 + 2*d**3 + 49*d**2/3 - 38*d + 119/6 = 0. Calculate d.
-7, 1, 17
Suppose z**5/4 - z**4 + 5*z**2/2 - z/4 - 3/2 = 0. What is z?
-1, 1, 2, 3
Factor 5*z**2 - 44440*z + 98745680.
5*(z - 4444)**2
Factor -2*f**3 - 58*f**2 - 286*f - 230.
-2*(f + 1)*(f + 5)*(f + 23)
Factor -5*u**5 - 5*u**4 + 25*u**3 - 15*u**2.
-5*u**2*(u - 1)**2*(u + 3)
Let -4*k**2/7 - 18840*k/7 - 22184100/7 = 0. What is k?
-2355
Factor -2*n**5 - 4*n**4 + 8*n**3 + 16*n**2.
-2*n**2*(n - 2)*(n + 2)**2
Factor 18723*f**3/7 - 3397*f**2/7 - 120*f - 36/7.
(3*f - 1)*(79*f + 6)**2/7
What is n in -3*n**3 + 15*n**2 - 12*n = 0?
0, 1, 4
Find a, given that -a**3/5 + 464*a**2/5 - 1843*a/5 + 276 = 0.
1, 3, 460
Factor -3*s**4 - 69*s**3 - 243*s**2 - 291*s - 114.
-3*(s + 1)**2*(s + 2)*(s + 19)
Determine d, given that 3*d**4/5 - 72*d**3/5 + 27*d**2 - 66*d/5 = 0.
0, 1, 22
Factor v**3/6 - v**2/6 - 2*v.
v*(v - 4)*(v + 3)/6
Find o, given that 3*o**2/8 + 60*o + 2400 = 0.
-80
Suppose -7*f**5/4 - 4*f**4 + 27*f**3 + 23*f**2/2 - 101*f/4 - 15/2 = 0. Calculate f.
-5, -1, -2/7, 1, 3
Find z, given that -2*z**3/11 + 8*z**2/11 = 0.
0, 4
Factor 2*m**2/9 - 4*m/3.
2*m*(m - 6)/9
Factor -2*u**3/7 - 2*u**2/7 + 32*u/7 - 40/7.
-2*(u - 2)**2*(u + 5)/7
What is b in 10*b**5 - 15*b**4 + 5*b**3 = 0?
0, 1/2, 1
Solve -2*y**5/7 + 16*y**3/7 + 12*y**2/7 - 2*y - 12/7 = 0.
-2, -1, 1, 3
Let -2*f**4 + 20*f**3 + 78*f**2 + 8*f - 104 = 0. Calculate f.
-2, 1, 13
Factor -d**3/2 - 285*d**2/2 - 142*d.
-d*(d + 1)*(d + 284)/2
Factor -2*l**2/11 - 7188*l/11 - 6458418/11.
-2*(l + 1797)**2/11
Factor 3*u**2/5 + 996*u/5.
3*u*(u + 332)/5
Factor 2*y**2/5 + 54*y/5 + 56.
2*(y + 7)*(y + 20)/5
What is t in -4*t**4/7 - 128*t**3/7 - 120*t**2/7 + 128*t/7 + 124/7 = 0?
-31, -1, 1
What is j in -4*j**3 - 128*j**2 - 308*j + 1160 = 0?
-29, -5, 2
What is f in 4*f**3 + 84*f**2 + 80*f = 0?
-20, -1, 0
Factor 14*a**2/17 + 572*a/17 - 672/17.
2*(a + 42)*(7*a - 8)/17
Factor d**3/4 - 3*d**2/4 + 1.
(d - 2)**2*(d + 1)/4
Factor 4*d**4 + 12600*d**3 + 13230000*d**2 + 4630500000*d.
4*d*(d + 1050)**3
Determine i so that 5*i**3 + 15*i**2 - 180*i + 160 = 0.
-8, 1, 4
Factor -45*h**5 + 105*h**4 + 25*h**3 - 125*h**2.
-5*h**2*(h + 1)*(3*h - 5)**2
Let -2*q**2/15 - 28*q/