**3 - 531*l**2 - 654*l - 144 = 0. What is l?
-24, -1, -2/7
Factor -w**2/4 + 12*w + 49/4.
-(w - 49)*(w + 1)/4
Factor 36*n**3 - 42*n**2 + 16*n - 2.
2*(2*n - 1)*(3*n - 1)**2
Suppose 54*z**4 - 7614*z**3/5 - 1242*z**2 - 1562*z/5 - 116/5 = 0. Calculate z.
-1/3, -2/15, 29
Factor 2*j**3 - 1098*j**2 + 200934*j - 12256974.
2*(j - 183)**3
Find f such that -f**3/5 - 11*f**2/5 - 32*f/5 - 28/5 = 0.
-7, -2
Factor 3*w**2/2 - 30*w - 63/2.
3*(w - 21)*(w + 1)/2
Factor -2*r**4 - 18*r**3 + 42*r**2 - 22*r.
-2*r*(r - 1)**2*(r + 11)
Determine y, given that -y**4 - 110*y**3 + 451*y**2 - 568*y + 228 = 0.
-114, 1, 2
Suppose y**2 + 1645*y = 0. Calculate y.
-1645, 0
Factor 4*c**5 + 12*c**4 - 4*c**3 - 12*c**2.
4*c**2*(c - 1)*(c + 1)*(c + 3)
Factor 3*d**3 + 826*d**2/3 + 18860*d/3 - 4232/3.
(d + 46)**2*(9*d - 2)/3
Factor 3*n**3/5 - 243*n**2/5.
3*n**2*(n - 81)/5
Factor -a**5/3 + 2*a**4/3 + 64*a**3/3 + 160*a**2/3.
-a**2*(a - 10)*(a + 4)**2/3
Factor -5*l**5 + 75*l**4 - 150*l**3 - 950*l**2 - 1125*l - 405.
-5*(l - 9)**2*(l + 1)**3
Suppose 4*a**4 + 40*a**3 + 44*a**2 - 280*a = 0. What is a?
-7, -5, 0, 2
Suppose -5*u**2 + 1235*u - 1230 = 0. What is u?
1, 246
Let -4*q**3 - 20*q**2 + 68*q + 84 = 0. What is q?
-7, -1, 3
Let -4*a**3/3 - 1088*a**2/3 - 72884*a/3 + 150152/3 = 0. Calculate a.
-137, 2
Factor -3*z**4/8 - 3*z**3 - 33*z**2/4 - 9*z - 27/8.
-3*(z + 1)**2*(z + 3)**2/8
Factor 3*u**4/2 - 177*u**3/2 + 2325*u**2/2 + 8649*u/2.
3*u*(u - 31)**2*(u + 3)/2
Factor -405*j**3 + 1170*j**2 - 845*j.
-5*j*(9*j - 13)**2
Find x such that x**3/4 + 4617*x**2/4 + 7105563*x/4 + 3645153819/4 = 0.
-1539
Factor 194*z**3/7 + 24*z**2/7.
2*z**2*(97*z + 12)/7
Determine r, given that -2*r**4/5 + 16*r**3/5 + 16*r**2/5 - 192*r/5 - 288/5 = 0.
-2, 6
Factor 4*i**3 - 20*i**2 - 8*i + 96.
4*(i - 4)*(i - 3)*(i + 2)
Factor m**4/3 + 3*m**3 + 9*m**2 + 9*m.
m*(m + 3)**3/3
Factor -l**2/3 - 29*l/9 + 44/9.
-(l + 11)*(3*l - 4)/9
Let -f**2 - 4*f = 0. Calculate f.
-4, 0
Let -m**2 + 7*m - 10 = 0. What is m?
2, 5
Suppose 5*q**2/2 - 35*q/2 + 15 = 0. What is q?
1, 6
Suppose -h**3/6 - h**2/3 + 3*h/2 + 3 = 0. Calculate h.
-3, -2, 3
Factor -2*m**2/7 + 32*m/7 - 30/7.
-2*(m - 15)*(m - 1)/7
Factor 4*x**3 + 142*x**2 - 74*x - 72.
2*(x - 1)*(x + 36)*(2*x + 1)
Factor z**5/4 + 93*z**4/4 + 183*z**3/4 + 91*z**2/4.
z**2*(z + 1)**2*(z + 91)/4
Determine w so that 4*w**4 + 16*w**3 - 12*w**2 - 72*w = 0.
-3, 0, 2
Factor 14*h**4/15 + 46*h**3/5 - 176*h**2/15.
2*h**2*(h + 11)*(7*h - 8)/15
Factor -5*d**2 - 505*d + 1560.
-5*(d - 3)*(d + 104)
Find y, given that y**4/10 + y**3/5 - 12*y**2/5 = 0.
-6, 0, 4
Determine l so that -2*l**2 + 22*l - 36 = 0.
2, 9
Factor 2*o**2 - 2274*o - 2276.
2*(o - 1138)*(o + 1)
Factor 4*a**2 - 16*a + 12.
4*(a - 3)*(a - 1)
Solve -5*l**4 + 1125*l**3 - 1115*l**2 - 1125*l + 1120 = 0.
-1, 1, 224
Factor 4*c**4 - 20*c**3 + 36*c**2 - 28*c + 8.
4*(c - 2)*(c - 1)**3
Factor -2*a**4 - 16*a**3 + 102*a**2 + 36*a - 432.
-2*(a - 3)**2*(a + 2)*(a + 12)
Let -4*u**5/7 + 8*u**4/7 + 104*u**3/7 + 32*u**2 + 188*u/7 + 8 = 0. What is u?
-2, -1, 7
Factor -2*n**2 + 4*n + 6.
-2*(n - 3)*(n + 1)
Suppose l**3/2 + 6*l**2 + 27*l/2 - 20 = 0. Calculate l.
-8, -5, 1
Factor s**5/7 - 2*s**4/7 - 4*s**3/7 + 2*s**2/7 + 3*s/7.
s*(s - 3)*(s - 1)*(s + 1)**2/7
Determine p so that -p**3 - 36*p**2 - 384*p - 1024 = 0.
-16, -4
Let 4*t**4 - 528*t**3 + 18448*t**2 - 67584*t + 65536 = 0. Calculate t.
2, 64
Factor 2*x**3 - 188*x**2/3 + 58*x/3 + 124/3.
2*(x - 31)*(x - 1)*(3*x + 2)/3
Factor -3*n**2/8 + 489*n - 159414.
-3*(n - 652)**2/8
Find t such that -2*t**3 + 188*t**2 + 384*t = 0.
-2, 0, 96
What is i in -96*i**2/7 + 161520*i/7 - 67939350/7 = 0?
3365/4
Suppose 2*d**2/15 + 2*d + 88/15 = 0. What is d?
-11, -4
Factor -2*u**3/5 - 12*u**2/5 + 38*u/5 + 48/5.
-2*(u - 3)*(u + 1)*(u + 8)/5
Factor 2*d**5 - 234*d**4 + 7188*d**3 - 20180*d**2 + 19722*d - 6498.
2*(d - 57)**2*(d - 1)**3
Factor 9*o**2/4 - 33*o - 45/4.
3*(o - 15)*(3*o + 1)/4
Factor -2*r**4/13 - 14*r**3/13 - 22*r**2/13 - 10*r/13.
-2*r*(r + 1)**2*(r + 5)/13
Find n, given that n**4/4 + 15*n**3/4 - 8*n**2 - 69*n - 80 = 0.
-16, -2, 5
Factor 2*b**5/9 + 28*b**4/9 + 46*b**3/3 + 280*b**2/9 + 200*b/9.
2*b*(b + 2)**2*(b + 5)**2/9
Determine r, given that -2*r**4/5 - 12*r**3/5 + 64*r/5 = 0.
-4, 0, 2
Let -3*w**3 + 261*w**2/5 + 168*w/5 - 108/5 = 0. What is w?
-1, 2/5, 18
Let -4*g**2/7 + 4240*g/7 - 1123600/7 = 0. Calculate g.
530
Factor 15*s**2/2 + 5319*s/2 - 1065.
3*(s + 355)*(5*s - 2)/2
Suppose -76*k**2 - 84*k - 8 = 0. What is k?
-1, -2/19
Let 2*r**2/3 + 1124*r/3 + 374 = 0. What is r?
-561, -1
Determine z so that 57*z**2/2 + 111*z/2 - 3 = 0.
-2, 1/19
Factor -32*r**3 - 112*r**2 - 114*r - 36.
-2*(r + 2)*(4*r + 3)**2
Find r such that -r**2/3 - 30*r = 0.
-90, 0
What is s in 2*s**3 - 130*s**2 - 3586*s - 21054 = 0?
-11, 87
Let -2*s**3 + 8*s**2 + 22*s - 60 = 0. What is s?
-3, 2, 5
Factor l**3/2 - 2493*l**2/2 + 777504*l - 776258.
(l - 1246)**2*(l - 1)/2
Factor y**5 - 273*y**4 + 18493*y**3 + 19317*y**2 - 37538*y.
y*(y - 137)**2*(y - 1)*(y + 2)
Find b such that 4*b**4 + 1664*b**3 - 10092*b**2 + 15192*b = 0.
-422, 0, 3
Factor v**3 - 5*v**2 + 3*v + 9.
(v - 3)**2*(v + 1)
Determine b, given that 5*b**3 + 705*b**2 + 33135*b + 519115 = 0.
-47
Factor -3*f**2 - 30*f - 72.
-3*(f + 4)*(f + 6)
Factor -o**4 + 7*o**3 - 14*o**2 + 8*o.
-o*(o - 4)*(o - 2)*(o - 1)
Let -32*l**4/3 - 110*l**3/3 + 424*l**2/3 - 130*l + 36 = 0. Calculate l.
-6, 9/16, 1
Let -b**5/9 + 59*b**4/9 + 42*b**3 + 770*b**2/9 + 647*b/9 + 65/3 = 0. What is b?
-3, -1, 65
Solve 2*l**4 - 4*l**3 + 4*l - 2 = 0 for l.
-1, 1
Solve 3*j**4/2 + 15*j**3/2 + 15*j**2/2 - 15*j/2 - 9 = 0 for j.
-3, -2, -1, 1
Factor 3*n**4 + 198*n**3 + 3132*n**2 + 13002*n - 16335.
3*(n - 1)*(n + 11)**2*(n + 45)
Factor 3*o**3/5 - 45*o**2 + 654*o/5 - 432/5.
3*(o - 72)*(o - 2)*(o - 1)/5
Determine h so that h**5/4 + 3*h**4/2 - 17*h**3/4 - 3*h**2/2 + 4*h = 0.
-8, -1, 0, 1, 2
Solve r**3 - 27*r**2 + 168*r + 196 = 0.
-1, 14
Factor 15*u**3 - 33*u**2 - 12*u + 36.
3*(u - 2)*(u + 1)*(5*u - 6)
Find x such that 1584*x**5 + 19776*x**4 - 10468*x**3 + 1812*x**2 - 104*x = 0.
-13, 0, 1/6, 2/11
Factor 5*o**2 - 35*o + 30.
5*(o - 6)*(o - 1)
Factor -n**2 - 17*n - 30.
-(n + 2)*(n + 15)
Factor 2*a**2/7 - 8*a/7 + 6/7.
2*(a - 3)*(a - 1)/7
Determine l, given that 25*l**5 + 1235*l**4 - 2160*l**3 - 5960*l**2 + 8240*l + 4080 = 0.
-51, -2, -2/5, 2
Factor -g**2/8 - 299*g/4 - 89401/8.
-(g + 299)**2/8
Solve 2*d**5/9 - 28*d**4/9 + 46*d**3/9 + 508*d**2/9 - 64*d - 256 = 0 for d.
-3, -2, 3, 8
Suppose -5*i**4 - 60*i**3 - 180*i**2 - 160*i = 0. What is i?
-8, -2, 0
Factor 2*c**4/3 + 38*c**3/3 + 32*c**2/3 - 24*c.
2*c*(c - 1)*(c + 2)*(c + 18)/3
Factor -h**4/3 + 35*h**3/3 + 51*h**2 + 39*h.
-h*(h - 39)*(h + 1)*(h + 3)/3
Suppose -3*l**3 - 36*l**2 - 108*l = 0. What is l?
-6, 0
Factor -4*n**4 + 92*n**3.
-4*n**3*(n - 23)
Find h, given that -10*h**4 - 14*h**3 + 556*h**2 + 224*h = 0.
-8, -2/5, 0, 7
Factor -p**5 - 4*p**4 - 4*p**3 + 2*p**2 + 5*p + 2.
-(p - 1)*(p + 1)**3*(p + 2)
Solve -3*v**4 + 78*v**3 + 9*v**2 - 228*v - 156 = 0 for v.
-1, 2, 26
Factor j**2/6 + 2*j + 9/2.
(j + 3)*(j + 9)/6
Let 5*g**3 + 130*g**2 + 320*g - 7680 = 0. Calculate g.
-16, 6
Let -s**4/3 - 10*s**3/3 - 32*s**2/3 - 38*s/3 - 5 = 0. Calculate s.
-5, -3, -1
Suppose m**4/3 + 2*m**3/3 - 4*m**2/3 - 2*m/3 + 1 = 0. What is m?
-3, -1, 1
What is s in 3*s**3 - 132*s**2 + 1089*s = 0?
0, 11, 33
Factor 3*f**2/7 + 114*f/7 + 495/7.
3*(f + 5)*(f + 33)/7
Find k, given that -42*k**5 + 3057*k**4 - 8262*k**3 + 5052*k**2 - 840*k = 0.
0, 2/7, 1/2, 2, 70
Factor -4*l**2 - 412*l + 840.
-4*(l - 2)*(l + 105)
Factor -3*l**2/4 - 171*l/4 + 135.
-3*(l - 3)*(l + 60)/4
Factor -4*t**3 - 88*t**2 - 580*t - 1200.
-4*(t + 5)**2*(t + 12)
Factor -405*k**3 - 180*k**2 - 20*k.
-5*k*(9*k + 2)**2
Factor 3*n**5 - 960*n**4 + 103035*n**3 - 3776250*n**2 + 7247220*n - 3573048.
3*(n - 106)**3*(n - 1)**2
Let 2*q**2/5 - 2/5 = 0. Calculate q.
-1, 1
Solve i**3 + 96*i**2 - i - 96 = 0 for i.
-96, -1, 1
Suppose -6*z**3/5 - 339*z**2/5 + 879*z/5 - 354/5 = 0. What is z?
-59, 1/2, 2
Solve -2*a**2/5 + 898*a/5 - 1788/5 = 0.
2, 447
Factor 2*h**3/9 - 1226*h**2/9 + 187270*h/9 + 188498/9.
2*(h - 307)**2*(h + 1)/9
Factor -5*j**5 + 15*j**3 + 10*j**2.
-5*j**2*(j - 2)*(j + 1)**2
Let -25*h**2 - 280*h - 55 = 0. Calculate h.
-11, -1/5
Let -4*u**5/7 + 20*u**4/7 - 8*u**3/7 - 8*u**2 + 12*u/7 + 3