 l.
-252
Factor 2*g**2 + 2688*g + 903168.
2*(g + 672)**2
Solve 21*w**2 + 459*w - 66 = 0.
-22, 1/7
Determine b, given that -162*b**5/19 - 504*b**4 + 8608*b**3/19 - 1920*b**2/19 = 0.
-60, 0, 4/9
Factor -2*d**2/15 + 172*d/15 + 178/5.
-2*(d - 89)*(d + 3)/15
Factor -l**2/10 + 5031*l/5 - 25310961/10.
-(l - 5031)**2/10
Solve -h**2 + 17*h/3 + 130/3 = 0.
-13/3, 10
Factor 16*q**3 - 46*q**2 - 294*q - 36.
2*(q - 6)*(q + 3)*(8*q + 1)
Find v such that 8*v**3/9 - 326*v**2/9 + 542*v/9 + 52/3 = 0.
-1/4, 2, 39
Factor -4*p**2/9 - 2650*p/9 + 1328/3.
-2*(p + 664)*(2*p - 3)/9
Determine u, given that -u**2/5 + 12*u/5 - 32/5 = 0.
4, 8
Factor 3*b**2/4 + 69*b/4 + 195/2.
3*(b + 10)*(b + 13)/4
Factor 3*z**3 - 66*z**2 + 177*z - 114.
3*(z - 19)*(z - 2)*(z - 1)
What is o in 2*o**3/5 - 8*o**2 + 264*o/5 - 576/5 = 0?
6, 8
Factor -2*q**2 - 2*q + 24.
-2*(q - 3)*(q + 4)
Determine g so that 3*g**3/4 + 417*g**2/4 + 207*g/2 = 0.
-138, -1, 0
Determine y, given that 3*y**3 + 45*y**2 + 162*y = 0.
-9, -6, 0
Solve -2*z**2 + 9032*z = 0 for z.
0, 4516
Let 48*s**4 + 192*s**3 + 189*s**2 - 12*s - 12 = 0. What is s?
-2, -1/4, 1/4
Solve -h**5/3 + 2*h**4 + 40*h**3/3 = 0.
-4, 0, 10
Factor 5*g**3 - 25*g**2.
5*g**2*(g - 5)
Factor 33*h**4 - 201*h**3 + 183*h**2 - 15*h.
3*h*(h - 5)*(h - 1)*(11*h - 1)
Factor -3*i**2 - 156*i - 2028.
-3*(i + 26)**2
Suppose -n**3/2 + 21*n**2/2 - 9*n - 20 = 0. What is n?
-1, 2, 20
Factor -5*p**5/3 - 265*p**4/3 - 1125*p**3 + 1215*p**2.
-5*p**2*(p - 1)*(p + 27)**2/3
Factor 9*l**4 - 6*l**3 - 12*l**2 + 6*l + 3.
3*(l - 1)**2*(l + 1)*(3*l + 1)
Suppose -u**5/12 + 5*u**4/12 + 11*u**3/3 + 16*u**2/3 - 8*u/3 - 20/3 = 0. What is u?
-2, 1, 10
Factor 3*o**4/5 - 69*o**3/5 + 189*o**2/5 - 183*o/5 + 12.
3*(o - 20)*(o - 1)**3/5
Find d, given that -d**2/7 + 24*d/7 + 55 = 0.
-11, 35
Factor -n**4 + 7*n**2 + 6*n.
-n*(n - 3)*(n + 1)*(n + 2)
Suppose -4*o**2/5 - 1888*o/5 - 1884/5 = 0. What is o?
-471, -1
Suppose -120*m**4 + 52*m**3 + 484*m**2 - 208*m - 16 = 0. What is m?
-2, -1/15, 1/2, 2
Let 6*f**4 + 20*f**3 + 6*f**2 = 0. What is f?
-3, -1/3, 0
Determine h so that h**5/5 + h**4/5 - 12*h**3/5 + 4*h**2/5 + 16*h/5 = 0.
-4, -1, 0, 2
Factor -3*c**4 - 12*c**3 - 3*c**2 + 18*c.
-3*c*(c - 1)*(c + 2)*(c + 3)
Suppose -4*o**4 + 188*o**3 + 1064*o**2 - 1248*o = 0. Calculate o.
-6, 0, 1, 52
Factor f**3/2 + f**2 - 15*f/2 - 18.
(f - 4)*(f + 3)**2/2
Find u, given that 3*u**5 - 27*u**4 - 105*u**3 - 45*u**2 + 102*u + 72 = 0.
-2, -1, 1, 12
Factor 2*g**2 + 68*g + 290.
2*(g + 5)*(g + 29)
Factor 2*o**3 + 14*o**2 - 16*o.
2*o*(o - 1)*(o + 8)
Factor -2*l**2 - 4*l + 48.
-2*(l - 4)*(l + 6)
Find l such that l**3/3 + 101*l**2/3 + 100*l/3 = 0.
-100, -1, 0
Solve 185*q**3 - 755*q**2 + 800*q - 60 = 0 for q.
3/37, 2
Let -b**2 - 27*b - 92 = 0. Calculate b.
-23, -4
Solve 10*f**2 + 355*f - 180 = 0 for f.
-36, 1/2
Factor -45*r**5 - 485*r**4 + 110*r**3.
-5*r**3*(r + 11)*(9*r - 2)
Solve 3267*b**3 - 143352*b**2 - 17412*b - 528 = 0 for b.
-2/33, 44
Factor 2*y**2 - 192*y - 392.
2*(y - 98)*(y + 2)
Find z, given that -4*z**3 + 76*z**2 + 160*z - 1600 = 0.
-5, 4, 20
Factor 3*t**2 - 1083*t + 3222.
3*(t - 358)*(t - 3)
What is n in 2*n**3 - 9062*n**2 - 18130*n - 9066 = 0?
-1, 4533
Let 2*a**4/9 - 2*a**3/3 + 8*a/9 = 0. What is a?
-1, 0, 2
Factor 3*w**3 + 243*w**2 - 246*w.
3*w*(w - 1)*(w + 82)
Factor 3*v**4 - 48*v**3 - 1317*v**2 - 2418*v.
3*v*(v - 31)*(v + 2)*(v + 13)
Factor -5*k**2 + 300*k - 4500.
-5*(k - 30)**2
Factor 3*c**4 + 98*c**3 - 1121*c**2 + 2360*c + 2100.
(c - 5)**2*(c + 42)*(3*c + 2)
Determine h, given that h**3 + 47*h**2 + 865*h/4 + 525/2 = 0.
-42, -5/2
Factor 24*h**5 + 92*h**4 - 16*h**3 - 384*h**2 - 320*h + 64.
4*(h - 2)*(h + 2)**3*(6*h - 1)
Let -g**3/4 - 2*g**2 - 7*g/4 = 0. What is g?
-7, -1, 0
Suppose 4*w**5/5 - 12*w**4 + 288*w**3/5 - 416*w**2/5 - 192*w/5 + 576/5 = 0. Calculate w.
-1, 2, 6
Factor 5*w**2 - 705*w - 2160.
5*(w - 144)*(w + 3)
Solve -2*d**2 - 24*d = 0 for d.
-12, 0
Suppose 147*n**2 + 5082*n + 43923 = 0. Calculate n.
-121/7
Let f**5/5 + f**4/5 - f**3 - f**2 + 4*f/5 + 4/5 = 0. What is f?
-2, -1, 1, 2
Suppose -4*v**2 - 20*v + 56 = 0. Calculate v.
-7, 2
What is b in b**2/2 + 41*b/2 - 66 = 0?
-44, 3
Suppose d**4 + 3*d**3 - d**2 - 3*d = 0. Calculate d.
-3, -1, 0, 1
Suppose -4*y**2/7 - 180*y/7 + 184/7 = 0. Calculate y.
-46, 1
Factor 4*h**3 - 140*h**2 + 384*h.
4*h*(h - 32)*(h - 3)
Factor -n**3 + 5*n**2 + 6*n.
-n*(n - 6)*(n + 1)
Determine g so that -2*g**4 - 128*g**3 - 2046*g**2 + 128*g + 2048 = 0.
-32, -1, 1
Suppose -25*p**5/3 + 5*p**4 + 160*p**3/3 - 40*p**2/3 - 80*p - 80/3 = 0. What is p?
-2, -1, -2/5, 2
Find v, given that -5*v**2 - 120*v + 260 = 0.
-26, 2
Factor 4*g**5 - 8*g**4 + 4*g**3.
4*g**3*(g - 1)**2
Determine h so that 6*h**5/5 + 4*h**4/5 - 6*h**3/5 - 4*h**2/5 = 0.
-1, -2/3, 0, 1
Let 2*m**4 - 92*m**3 + 170*m**2 + 264*m = 0. Calculate m.
-1, 0, 3, 44
Factor 4*b**2 - 192*b + 2304.
4*(b - 24)**2
What is w in 3*w**5 - 3*w**4 - 27*w**3 + 3*w**2 + 60*w + 36 = 0?
-2, -1, 2, 3
Factor -2*f**2/9 + 20*f/9 + 26/3.
-2*(f - 13)*(f + 3)/9
Factor c**4/4 + c**3/4 - 3*c**2/2 - c + 2.
(c - 2)*(c - 1)*(c + 2)**2/4
Factor 2*d**3/9 + 44*d**2/9 + 206*d/9 - 28.
2*(d - 1)*(d + 9)*(d + 14)/9
Factor 2*g**5 - 16*g**4 + 40*g**3 - 32*g**2.
2*g**2*(g - 4)*(g - 2)**2
Factor 2*d**3/3 - 54*d**2.
2*d**2*(d - 81)/3
Factor -a**2 + 92*a - 2100.
-(a - 50)*(a - 42)
Factor -14450*w**4 + 15130*w**3 - 688*w**2 + 8*w.
-2*w*(w - 1)*(85*w - 2)**2
Let 3*i**2 + 3*i - 36 = 0. Calculate i.
-4, 3
Factor -2*y**5/7 + 1354*y**4/7 + 1356*y**3/7.
-2*y**3*(y - 678)*(y + 1)/7
Determine k so that k**5 - 33*k**4 - 182*k**3 - 300*k**2 - 152*k = 0.
-2, -1, 0, 38
Solve 18*o**4/5 + 237*o**3/5 + 906*o**2/5 + 828*o/5 + 216/5 = 0 for o.
-6, -2/3, -1/2
Suppose 5*s**4/2 - 11*s**3 - 66*s**2 - 52*s + 32 = 0. Calculate s.
-2, 2/5, 8
Determine q, given that 9*q**4 - 6*q**3 - 900*q**2 + 600*q = 0.
-10, 0, 2/3, 10
Determine s so that -5*s**3 + 15*s**2 + 80*s + 60 = 0.
-2, -1, 6
Factor -3*x**4 + 36*x**3 - 126*x**2 + 60*x + 225.
-3*(x - 5)**2*(x - 3)*(x + 1)
Solve b**3/6 + 5*b**2/2 - 11*b/3 - 16 = 0.
-16, -2, 3
What is f in -4*f**3 - 80*f**2 - 76*f = 0?
-19, -1, 0
Factor 2*n**2 - 6208*n.
2*n*(n - 3104)
Suppose u**3/6 + 2*u**2 - 93*u/2 - 299/3 = 0. Calculate u.
-23, -2, 13
Solve 2*f**3 - 44*f**2 + 80*f = 0.
0, 2, 20
Find i such that 4*i**3 + 192*i**2 + 3072*i + 16384 = 0.
-16
Solve i**2/4 - 3*i/2 - 10 = 0 for i.
-4, 10
Let o**2 + 233*o + 1362 = 0. What is o?
-227, -6
Let -2*x**5/7 + 24*x**4 - 4146*x**3/7 + 26332*x**2/7 - 63384*x/7 + 51984/7 = 0. Calculate x.
2, 3, 38
Suppose -5*s**3/6 - 37*s**2/6 - 16*s/3 = 0. Calculate s.
-32/5, -1, 0
Solve -2*r**3 + 1044*r**2 - 1038*r - 2084 = 0 for r.
-1, 2, 521
Let -5*l**4 + 310*l**3 - 4805*l**2 = 0. What is l?
0, 31
Factor -b**2/4 - 145*b/2 - 21025/4.
-(b + 145)**2/4
Factor 45*b**2 + 10990*b + 2440.
5*(b + 244)*(9*b + 2)
Solve 4*f**2 + 203*f + 528 = 0 for f.
-48, -11/4
Factor 2*y**2 - 32*y + 56.
2*(y - 14)*(y - 2)
Find t such that 2*t**2 - 570*t + 568 = 0.
1, 284
Factor 5*w**4 + 30*w**3 + 60*w**2 + 40*w.
5*w*(w + 2)**3
Factor -5*l**2 - 40*l + 325.
-5*(l - 5)*(l + 13)
Solve -3*b**2 - 69*b + 324 = 0 for b.
-27, 4
Factor -2*s**2/9 - 884*s/9 - 97682/9.
-2*(s + 221)**2/9
Determine g so that 5*g**4 + 5*g**3 - 5*g**2 - 5*g = 0.
-1, 0, 1
Factor 2*k**2/9 + 628*k/3.
2*k*(k + 942)/9
Find v, given that -3*v**2 + 17814*v - 26444883 = 0.
2969
Determine g, given that 2*g**4/11 - 8*g**3/11 - 24*g**2/11 = 0.
-2, 0, 6
Find l such that -2*l**3/3 - 76*l**2/3 - 146*l/3 - 24 = 0.
-36, -1
Factor -3*d**4 - 39*d**3 - 66*d**2.
-3*d**2*(d + 2)*(d + 11)
Factor 15*w**4 + 280*w**3 - 105*w**2 - 190*w.
5*w*(w - 1)*(w + 19)*(3*w + 2)
Suppose 3*l**3 - 69*l**2 - 72*l = 0. What is l?
-1, 0, 24
Factor -k**3/8 - 5*k**2/8 - k/2.
-k*(k + 1)*(k + 4)/8
Determine t so that -2*t**2/9 + 38*t/3 - 1600/9 = 0.
25, 32
Determine d, given that -4*d**2 + 942*d - 470 = 0.
1/2, 235
Factor j**4/4 + j**3/2 - 3*j**2/4.
j**2*(j - 1)*(j + 3)/4
Factor -2*f**3 - 84*f**2 - 960*f - 1600.
-2*(f + 2)*(f + 20)**2
Determine x so that -5*x**5 + 1275*x**4 + 10410*x**3 + 28810*x**2 + 31515*x + 11835 = 0.
-3, -1, 263
Determine a so that -2*a**3/15 + 62*a**2/15 = 0.
0, 31
Factor -5*k**2 + 140*k - 480.
-5*(k - 24)*(k - 4)
Suppose 6*n**4 - 14*n**3 + 8*n**2 = 0. Calculate n.
0, 1, 4/3
Suppose i**2/3 + 133*i/9 + 44/9 = 0. Calculate 