**2 - 126*i.
-3*i*(i + 2)*(i + 21)
Factor 2*o**2/5 + 532*o/5 + 106.
2*(o + 1)*(o + 265)/5
Suppose -3*x**2/4 - 303*x/2 - 30603/4 = 0. What is x?
-101
Let -20*y**3 + 3648*y**2 - 167076*y + 66248 = 0. What is y?
2/5, 91
Factor -3*w**5 - 3*w**4 + 3*w**3 + 3*w**2.
-3*w**2*(w - 1)*(w + 1)**2
Let -4*s**3/9 + 3392*s**2/9 = 0. Calculate s.
0, 848
Determine q, given that 4*q**2 - 124*q + 736 = 0.
8, 23
What is c in c**4/2 - 16*c**3 + 199*c**2/2 - 84*c = 0?
0, 1, 7, 24
Solve 4*r**2 - 152*r + 544 = 0.
4, 34
Factor n**4/2 - n**3/2 - 3*n**2/2 + 5*n/2 - 1.
(n - 1)**3*(n + 2)/2
Factor -a**3/9 + 13*a/9 - 4/3.
-(a - 3)*(a - 1)*(a + 4)/9
Factor 3*s**3 - 180*s**2 + 3600*s - 24000.
3*(s - 20)**3
Find m such that -3*m**4 - 300*m**3 - 1719*m**2 - 2550*m - 1128 = 0.
-94, -4, -1
Factor -a**4/3 + 29*a**3/3 - 69*a**2 + 331*a/3 - 152/3.
-(a - 19)*(a - 8)*(a - 1)**2/3
Let 3*z**2/8 + 39*z/8 - 45/4 = 0. What is z?
-15, 2
What is s in 294*s**5 - 2037*s**4 - 5205*s**3 - 2448*s**2 - 324*s = 0?
-3/2, -2/7, 0, 9
Find t such that -t**3/9 + 7*t**2/3 - 71*t/9 + 17/3 = 0.
1, 3, 17
Determine z, given that -8*z**2 - 1841*z - 230 = 0.
-230, -1/8
Solve s**5 + s**4 - 3*s**3 - s**2 + 2*s = 0 for s.
-2, -1, 0, 1
Factor 15*v**3 - 535*v**2 + 1340*v - 660.
5*(v - 33)*(v - 2)*(3*v - 2)
Suppose 4*z**2 - 560*z = 0. What is z?
0, 140
Suppose 4*n**4 + 156*n**3 + 300*n**2 + 148*n = 0. What is n?
-37, -1, 0
Solve -w**2 + 15798*w - 62394201 = 0 for w.
7899
Factor -3*t**2 - 9*t + 264.
-3*(t - 8)*(t + 11)
Factor 21*m**3 - 114*m**2 + 96*m + 96.
3*(m - 4)*(m - 2)*(7*m + 4)
Suppose 3*b**4/5 + 9*b**3/5 - 6*b**2 - 72*b/5 = 0. What is b?
-4, -2, 0, 3
Factor 2*j**2/7 + 12*j/7 - 54/7.
2*(j - 3)*(j + 9)/7
Factor f**2/6 - 23*f/6 - 4.
(f - 24)*(f + 1)/6
Factor -4*h**2 + 12*h + 280.
-4*(h - 10)*(h + 7)
Factor -4*o**4 + 4*o**3 + 12*o**2 - 20*o + 8.
-4*(o - 1)**3*(o + 2)
Factor -2*j**5 + 4814*j**4 - 4344032*j**3 + 1740988816*j**2 - 260927980768*j - 262673318432.
-2*(j - 602)**4*(j + 1)
What is g in -g**2 - 2*g + 99 = 0?
-11, 9
Suppose -98*i**4 + 350*i**3 - 468*i**2 + 1944*i/7 - 432/7 = 0. What is i?
6/7, 1
Factor -2*g**2/7 - 92*g/7.
-2*g*(g + 46)/7
Determine i so that -5*i**3 + 135*i**2 - 930*i + 800 = 0.
1, 10, 16
Solve 4*d**2 - 10008*d + 6260004 = 0.
1251
Suppose -28*b**3 - 664*b**2 - 452*b + 184 = 0. What is b?
-23, -1, 2/7
Factor -5*h**2 - 35*h + 40.
-5*(h - 1)*(h + 8)
Factor 6*m**2/11 + 1682*m/11 - 1124/11.
2*(m + 281)*(3*m - 2)/11
Find v such that 2*v**3/9 - 50*v**2/3 + 286*v - 12826/9 = 0.
11, 53
Factor p**3 - 73*p**2 + 1216*p + 4332.
(p - 38)**2*(p + 3)
Find u such that 8*u**5/3 + 78*u**4 - 316*u**3 + 1360*u**2/3 - 284*u + 66 = 0.
-33, 3/4, 1
Factor -o**4/3 - 8*o**3/3 - 20*o**2/3 - 16*o/3.
-o*(o + 2)**2*(o + 4)/3
Determine n, given that 3*n**5/7 + 6*n**4/7 - 57*n**3/7 + 12*n**2 - 36*n/7 = 0.
-6, 0, 1, 2
Suppose -2*d**3/11 - 30*d**2/11 - 52*d/11 = 0. Calculate d.
-13, -2, 0
Suppose -n**3 + 236*n**2/3 - 277*n + 150 = 0. What is n?
2/3, 3, 75
Factor -2*u**2 + 52*u - 338.
-2*(u - 13)**2
Factor v**3/6 - 2*v**2/3 - 2*v.
v*(v - 6)*(v + 2)/6
Factor l**4 + l**3 - l**2 - l.
l*(l - 1)*(l + 1)**2
Factor -2*a**3/11 - 62*a**2/11 - 116*a/11.
-2*a*(a + 2)*(a + 29)/11
Factor -12*u**2 - 471*u - 117.
-3*(u + 39)*(4*u + 1)
What is t in -4*t**3 - 16*t**2 + 60*t + 72 = 0?
-6, -1, 3
Let -y**5/3 + 37*y**4/3 - 283*y**3/3 - 1081*y**2/3 - 1160*y/3 - 400/3 = 0. Calculate y.
-1, 20
Suppose 4*o**3 + 12*o**2 + 8*o = 0. What is o?
-2, -1, 0
Factor 3*m**5/4 - 15*m**4/4 + 9*m**3/2 + 3*m**2/2 - 21*m/4 + 9/4.
3*(m - 3)*(m - 1)**3*(m + 1)/4
Factor 5*m**2 - 120*m + 400.
5*(m - 20)*(m - 4)
Suppose -r**3/8 - 9*r**2/8 = 0. Calculate r.
-9, 0
Factor j**2/3 + 14*j/3 - 5.
(j - 1)*(j + 15)/3
Factor -6*o**3 - 104*o**2 - 394*o - 120.
-2*(o + 5)*(o + 12)*(3*o + 1)
Factor r**3/5 - r**2/5 - 6*r.
r*(r - 6)*(r + 5)/5
Factor -4*c**2 - 236*c - 880.
-4*(c + 4)*(c + 55)
Suppose 3*k**4/5 - 108*k**3/5 - 2463*k**2/5 - 12528*k/5 - 10176/5 = 0. Calculate k.
-8, -1, 53
Let -3*d**3 - 261*d**2 - 258*d = 0. What is d?
-86, -1, 0
Determine m so that -35*m**3/2 - 39*m**2/2 - 2*m = 0.
-1, -4/35, 0
Solve -2*q**2/13 - 14*q/13 + 60/13 = 0 for q.
-10, 3
Solve -4*z**3 - 9936*z**2 - 39696*z - 39680 = 0.
-2480, -2
Find p, given that -3*p**2/5 - 66*p/5 + 144/5 = 0.
-24, 2
Factor 4*b**4 + 50*b**3 + 194*b**2 + 190*b - 150.
2*(b + 3)*(b + 5)**2*(2*b - 1)
Find r such that -5*r**2 - 140*r - 900 = 0.
-18, -10
What is p in 3*p**5/8 + 9*p**4/4 + 3*p**3/2 - 9*p**2/4 - 15*p/8 = 0?
-5, -1, 0, 1
Factor -2*n**2/9 + 74*n/9 + 52/3.
-2*(n - 39)*(n + 2)/9
Factor -4*k**2/9 + 748*k/9 + 168.
-4*(k - 189)*(k + 2)/9
What is i in 2*i**5/7 - 44*i**4/7 + 270*i**3/7 - 188*i**2/7 - 1240*i/7 + 1200/7 = 0?
-2, 1, 3, 10
Suppose 2*n**2 - 36*n + 144 = 0. What is n?
6, 12
Factor 2*c**4/5 - 58*c**3/5 - 64*c**2/5 + 24*c.
2*c*(c - 30)*(c - 1)*(c + 2)/5
Factor 2*c**3/13 - 3776*c**2/13 + 1782272*c/13.
2*c*(c - 944)**2/13
Factor g**2/2 + 17*g/2 - 19.
(g - 2)*(g + 19)/2
Suppose 4*y**4/13 - 238*y**3/13 + 3480*y**2/13 + 1800*y/13 = 0. Calculate y.
-1/2, 0, 30
Find j such that 8*j**3/9 + 98*j**2 + 1078*j/9 - 436/3 = 0.
-109, -2, 3/4
Solve o**3/9 - 2*o**2 + 20*o/3 - 56/9 = 0.
2, 14
Factor -3*y**3 - 54*y**2 + 57*y.
-3*y*(y - 1)*(y + 19)
Let -4*z**5 + 4*z**4 + 20*z**3 + 12*z**2 = 0. What is z?
-1, 0, 3
Factor -q**4/4 - 3*q**3/4 + q.
-q*(q - 1)*(q + 2)**2/4
Determine j, given that -j**3/9 - 156*j**2 - 4205*j/9 - 934/3 = 0.
-1401, -2, -1
Factor -2*y**2/5 - 8348*y/5 - 8711138/5.
-2*(y + 2087)**2/5
Let -2*o**5/23 - 6*o**4/23 + 26*o**3/23 + 22*o**2/23 - 48*o/23 - 40/23 = 0. Calculate o.
-5, -1, 2
Let -2*w**2/3 + 190*w = 0. What is w?
0, 285
Suppose -4*s**5 + 12*s**4 + 44*s**3 - 12*s**2 - 40*s = 0. Calculate s.
-2, -1, 0, 1, 5
Find i such that 18*i**4 - 428*i**3/3 - 86*i**2/3 + 428*i/3 + 32/3 = 0.
-1, -2/27, 1, 8
Factor 3*t**4 + 21*t**3 + 30*t**2.
3*t**2*(t + 2)*(t + 5)
Find g, given that -4*g**2 - 452*g = 0.
-113, 0
Suppose -39*s**2 - 45*s - 6 = 0. Calculate s.
-1, -2/13
Let 2*b**4 - 252*b**3 + 8186*b**2 - 15624*b + 7688 = 0. Calculate b.
1, 62
What is z in -9*z**3/2 - 255*z**2 - 6873*z/2 + 5046 = 0?
-29, 4/3
Determine q so that 6*q**2 + 17*q + 10 = 0.
-2, -5/6
Find i such that -855*i**4 - 2025*i**3 - 1495*i**2 - 335*i - 10 = 0.
-1, -1/3, -2/57
Factor 4*z**2 + 24*z.
4*z*(z + 6)
What is s in s**4 + 6*s**3 + 5*s**2 = 0?
-5, -1, 0
Factor 3*f**3/5 - 702*f**2/5 + 8991*f - 443556/5.
3*(f - 111)**2*(f - 12)/5
Factor 2*p**5 + 14*p**4 + 38*p**3 + 50*p**2 + 32*p + 8.
2*(p + 1)**3*(p + 2)**2
Let -4*a**5 + 76*a**4 + 260*a**3 + 100*a**2 - 256*a - 176 = 0. What is a?
-2, -1, 1, 22
Factor 2*l**3/9 - 22*l**2/9 + 38*l/9 - 2.
2*(l - 9)*(l - 1)**2/9
Determine s so that -4*s**4 - 112*s**3 - 1176*s**2 - 5488*s - 9604 = 0.
-7
Factor 2*z**2/19 + 4*z/19 - 240/19.
2*(z - 10)*(z + 12)/19
Factor -4*j**2 - 60*j + 64.
-4*(j - 1)*(j + 16)
Let 4*j**3/3 + 148*j**2/3 + 284*j/3 + 140/3 = 0. Calculate j.
-35, -1
Factor 356*a**2 - 308*a - 48.
4*(a - 1)*(89*a + 12)
Determine y so that y**3/9 + 16*y**2/9 - 41*y/3 + 22 = 0.
-22, 3
Factor 2*p**2/5 - 768*p/5 + 73728/5.
2*(p - 192)**2/5
What is q in q**4 - 85*q**3 + 2193*q**2 - 15799*q + 13690 = 0?
1, 10, 37
Factor -2*u**2 + u/2 + 39/2.
-(u + 3)*(4*u - 13)/2
Suppose -4*m**5 + 17328*m**4 - 25021632*m**3 + 12043745536*m**2 = 0. Calculate m.
0, 1444
Let -5*g**5 + 20*g**4 + 245*g**3 + 520*g**2 + 300*g = 0. What is g?
-3, -2, -1, 0, 10
Factor u**2/4 - 13*u/2 - 27/4.
(u - 27)*(u + 1)/4
Suppose -4*n**2 + 1756*n - 3496 = 0. Calculate n.
2, 437
Let -4*x**4/3 - 125*x**3/3 + 123*x**2 - 172*x/3 - 68/3 = 0. What is x?
-34, -1/4, 1, 2
Factor 4*w**4 + 300*w**3 - 1248*w**2 + 1264*w.
4*w*(w - 2)**2*(w + 79)
Suppose 2*a**3/5 - 26*a**2/5 - 32*a/5 + 56/5 = 0. Calculate a.
-2, 1, 14
Find f such that -f**5 - 21*f**4 + 298*f**3 - 430*f**2 - 1833*f - 1085 = 0.
-31, -1, 5, 7
Suppose -b**5 - b**4 + 5*b**3 + b**2 - 8*b + 4 = 0. What is b?
-2, 1
Factor 3*m**2/5 - 669*m/5 + 666/5.
3*(m - 222)*(m - 1)/5
Factor 2*x**4/13 - 16*x**3/13 + 22*x**2/13 + 40*x/13.
2*x*(x - 5)*(x - 4)*(x + 1)/13
Suppose -2*y**4/3 - 12*y**3 + 128*y**2 - 832*y/3 = 0. What is y?
-26, 0, 4
Let -2*t**2 - 88*t + 282 = 0. Calculate t.
-47, 3
Factor -2*s**2/9 - 124*s/3.
-2*s*(s + 186)/9
Factor 2*v**2 - 18*v - 72.
2*(v - 12)*(v + 3)
Solve -2*h**4/5 + 6*h**3/5 - 4*h**2/5 = 0 for h.
0