**3 + 422*b + 420 = 0.
-14, -1, 15
Factor 14*p**2 - 164*p - 234.
2*(p - 13)*(7*p + 9)
Find g such that -2*g**4/9 + 104*g**3/9 - 98*g**2/9 - 68*g/3 = 0.
-1, 0, 2, 51
Find b, given that -15*b**4 + 264*b**3 + 1023*b**2 + 996*b + 252 = 0.
-2, -1, -2/5, 21
Factor 3*s**2/5 - 864*s/5 + 62208/5.
3*(s - 144)**2/5
Factor 5*n**2 - 295*n + 290.
5*(n - 58)*(n - 1)
Factor m**5/5 + 7*m**4/5 + 7*m**3/5 - 3*m**2.
m**2*(m - 1)*(m + 3)*(m + 5)/5
Factor 2*x**3/11 + 26*x**2/11 + 20*x/11 - 48/11.
2*(x - 1)*(x + 2)*(x + 12)/11
Determine w so that 2*w**5/3 - 8*w**4/3 + 8*w**3/3 + 4*w**2/3 - 10*w/3 + 4/3 = 0.
-1, 1, 2
Suppose -6*f**3/7 + 2390*f**2/7 - 7884*f/7 - 6320/7 = 0. Calculate f.
-2/3, 4, 395
Determine m so that -5*m**2 + 1625*m + 1630 = 0.
-1, 326
Determine n, given that 2*n**3/3 + 164*n**2/21 + 86*n/21 - 88/7 = 0.
-11, -12/7, 1
Factor 2*b**5/21 + 2*b**4/3 + 4*b**3/7.
2*b**3*(b + 1)*(b + 6)/21
Factor -3*n**5 + 63*n**4 - 438*n**3 + 966*n**2 + 441*n - 1029.
-3*(n - 7)**3*(n - 1)*(n + 1)
Let 2*k**4 + 4*k**3 - 14*k**2 - 16*k + 24 = 0. What is k?
-3, -2, 1, 2
Determine c so that 2*c**2/19 + 120*c/19 + 1800/19 = 0.
-30
Determine k so that -2*k**4/11 + 28*k**3/11 - 138*k**2/11 + 272*k/11 - 160/11 = 0.
1, 4, 5
Factor -o**2 + 785*o - 784.
-(o - 784)*(o - 1)
Solve 2*v**2 - 4708*v + 4706 = 0 for v.
1, 2353
Factor -z**5 - z**4 + 9*z**3 - 11*z**2 + 4*z.
-z*(z - 1)**3*(z + 4)
Solve -4*q**4 + 304*q**3 - 5460*q**2 - 12168*q = 0.
-2, 0, 39
Factor m**5 + 12*m**4 + 43*m**3 + 60*m**2 + 28*m.
m*(m + 1)*(m + 2)**2*(m + 7)
Solve 3*l**5 + 48*l**4 + 90*l**3 - 336*l**2 + 195*l = 0 for l.
-13, -5, 0, 1
Let 3*b**3 - 1004*b**2 + 84335*b - 55778 = 0. What is b?
2/3, 167
Find d such that -3*d**5 + 15*d**4 - 9*d**3 - 51*d**2 + 84*d - 36 = 0.
-2, 1, 2, 3
Determine k, given that 5*k**2 - 490*k + 485 = 0.
1, 97
Solve -3*n**5 + 12*n**3 - 6*n**2 - 9*n + 6 = 0 for n.
-2, -1, 1
Factor -2*d**3/5 - 8*d**2/5 + 256*d/5 + 1536/5.
-2*(d - 12)*(d + 8)**2/5
Let r**5/2 - 2*r**4 - 11*r**3/2 + 13*r**2 + 32*r + 16 = 0. What is r?
-2, -1, 4
Find m such that 18*m**4 - 38*m**3 - 68*m**2 + 152*m - 16 = 0.
-2, 1/9, 2
Let i**2/6 + 4*i/3 + 7/6 = 0. Calculate i.
-7, -1
Factor u**2/3 - 32*u/3 - 473/3.
(u - 43)*(u + 11)/3
Factor -2*a**2/3 - 154*a/3 - 980.
-2*(a + 35)*(a + 42)/3
Factor 4*y**4/9 - 8*y**3/3 - 4*y**2 + 56*y/9.
4*y*(y - 7)*(y - 1)*(y + 2)/9
Factor 22*a**5/7 + 4*a**4 + 6*a**3/7.
2*a**3*(a + 1)*(11*a + 3)/7
Let -2*g**3 + 5592*g**2 - 5211744*g + 1619115136 = 0. What is g?
932
Factor 81*n**4/4 - 72*n**3 - 545*n**2/4 - 49*n - 5.
(n - 5)*(n + 1)*(9*n + 2)**2/4
Suppose -5*x**4 - 40*x**3 - 60*x**2 = 0. Calculate x.
-6, -2, 0
Let w**2/6 + w/2 + 1/3 = 0. Calculate w.
-2, -1
Factor 2*m**5/7 - 442*m**4 + 6182*m**3/7 - 3090*m**2/7.
2*m**2*(m - 1545)*(m - 1)**2/7
Factor 2*n**5 - 154*n**4 + 3040*n**3 - 2888*n**2.
2*n**2*(n - 38)**2*(n - 1)
Suppose -3*g**2/2 - 159*g - 8427/2 = 0. Calculate g.
-53
Factor -2*r**5/9 + 4*r**4/3.
-2*r**4*(r - 6)/9
Factor i**3/2 + 11*i**2/8 - 75*i/8 + 9/4.
(i - 3)*(i + 6)*(4*i - 1)/8
Factor 2*v**2/3 - 13364*v/3 + 22324562/3.
2*(v - 3341)**2/3
Determine f so that -28*f**3/5 - 64*f**2/5 + 208*f/5 + 64/5 = 0.
-4, -2/7, 2
Factor 7*u**2/3 - 1573*u/3 - 150.
(u - 225)*(7*u + 2)/3
Solve -3*u**5 - 33*u**4 - 144*u**3 - 312*u**2 - 336*u - 144 = 0 for u.
-3, -2
Determine z, given that -4*z**4/5 - 76*z**3/5 - 256*z**2/5 + 336*z/5 = 0.
-14, -6, 0, 1
Factor 4*i**2/21 + 58*i/21 + 4/3.
2*(i + 14)*(2*i + 1)/21
Find y such that -y**4/3 - 17*y**3/3 + 200*y**2/3 = 0.
-25, 0, 8
Factor 4*v**3 + 1324*v**2 + 1320*v.
4*v*(v + 1)*(v + 330)
Factor 2*a**3/13 - 96*a**2/13 - 200*a/13.
2*a*(a - 50)*(a + 2)/13
Let -3*z**4/7 + 15*z**3/7 + 66*z**2/7 + 48*z/7 = 0. Calculate z.
-2, -1, 0, 8
Determine g so that -5*g**4 - 10*g**3 + 45*g**2 + 10*g - 40 = 0.
-4, -1, 1, 2
Suppose -2*d**4 - 6*d**3 + 248*d**2 - 840*d = 0. Calculate d.
-14, 0, 5, 6
Factor -2*g**2/3 - 64*g/3 - 62/3.
-2*(g + 1)*(g + 31)/3
Factor -20*q**3 - 196*q**2 - 636*q - 684.
-4*(q + 3)**2*(5*q + 19)
Let -3*b**2 + 3*b + 36 = 0. Calculate b.
-3, 4
Let -35*v**5/4 + 65*v**4/2 - 65*v**3/4 - 85*v**2/2 + 25*v + 10 = 0. What is v?
-1, -2/7, 1, 2
What is l in l**3/2 - l**2/2 - l = 0?
-1, 0, 2
Solve 93*p**2/5 + 216*p/5 + 12 = 0 for p.
-2, -10/31
Factor -4*a**3 - 252*a**2 - 4092*a - 3844.
-4*(a + 1)*(a + 31)**2
Factor 4*q**3 - 108*q + 216.
4*(q - 3)**2*(q + 6)
Factor -4*t**3/3 + 272*t**2/3 + 868*t/3 - 1136/3.
-4*(t - 71)*(t - 1)*(t + 4)/3
What is s in s**2/3 + 194*s/3 + 9409/3 = 0?
-97
Let 2*i**2/3 + 182*i/3 + 860/3 = 0. Calculate i.
-86, -5
Factor -16*r**4/5 - 232*r**3 - 11004*r**2/5 - 37142*r/5 - 42532/5.
-2*(r + 62)*(2*r + 7)**3/5
Suppose 6*b**3/5 - 494*b**2/5 - 4156*b/5 + 288 = 0. Calculate b.
-8, 1/3, 90
Solve 3*d**3 - 1608*d**2 + 6396*d - 6384 = 0 for d.
2, 532
Factor -r**2/3 - 6*r - 15.
-(r + 3)*(r + 15)/3
Factor 45*w**3 - 215*w**2 - 680*w - 140.
5*(w - 7)*(w + 2)*(9*w + 2)
Determine n so that -16*n**3 - 10*n**2 + 6*n = 0.
-1, 0, 3/8
Suppose 5*s**4 - 95*s**3 + 565*s**2 - 1225*s + 750 = 0. Calculate s.
1, 3, 5, 10
Find i, given that 12*i**5 + 15*i**4 + 3*i**3 = 0.
-1, -1/4, 0
Suppose -k**2 - 32*k - 31 = 0. What is k?
-31, -1
Determine o, given that -o**3/8 + 7*o**2/8 - 3*o/2 = 0.
0, 3, 4
Suppose s**3 - 20*s**2 + 100*s = 0. What is s?
0, 10
Suppose -3*z**3/5 + 87*z**2/5 - 33*z + 81/5 = 0. Calculate z.
1, 27
Factor 1922*v**5/11 + 5518*v**4/11 + 5030*v**3/11 + 1202*v**2/11 - 224*v/11 + 8/11.
2*(v + 1)**3*(31*v - 2)**2/11
Suppose 5*y**2 + 1365*y - 1370 = 0. Calculate y.
-274, 1
What is h in 2*h**3/7 - 38*h + 264/7 = 0?
-12, 1, 11
What is k in -k**2/6 - 30*k - 179/6 = 0?
-179, -1
Determine n so that -2*n**5/13 - 2*n**4/13 + 34*n**3/13 - 30*n**2/13 = 0.
-5, 0, 1, 3
Factor 4*s**4 + 4*s**3 - 24*s**2.
4*s**2*(s - 2)*(s + 3)
Factor -338*c**3/3 + 910*c**2/3 + 304*c/3 + 8.
-2*(c - 3)*(13*c + 2)**2/3
Determine n so that 2*n**5 + 234*n**4 + 7588*n**3 + 42116*n**2 - 7590*n - 42350 = 0.
-55, -7, -1, 1
Find m such that 4*m**3/3 - 28*m**2/3 + 16*m/3 + 16 = 0.
-1, 2, 6
Factor x**2 + 156*x + 6084.
(x + 78)**2
Factor 3*m**3/2 - 23649*m**2/2 + 46618089*m/2 - 46594443/2.
3*(m - 3941)**2*(m - 1)/2
Determine h so that -4*h**3 + 152*h**2 + 484*h + 328 = 0.
-2, -1, 41
Solve -7*s**5 - 16*s**4 - 11*s**3 - 2*s**2 = 0 for s.
-1, -2/7, 0
Suppose 210*t**5 - 58*t**4 - 236*t**3 + 32*t**2 = 0. What is t?
-1, 0, 2/15, 8/7
Factor -2*g**2/9 - 10*g/3 + 68/9.
-2*(g - 2)*(g + 17)/9
Determine s, given that 19*s**5/2 + 93*s**4/2 + 71*s**3 + 30*s**2 - 4*s = 0.
-2, -1, 0, 2/19
Find h such that 2*h**3/7 - 38*h**2/7 + 10*h - 34/7 = 0.
1, 17
Determine v so that -v**3/3 + 150*v**2 - 22500*v + 1125000 = 0.
150
Solve -2*w**5/3 - 4*w**4 - 22*w**3/3 - 4*w**2 = 0 for w.
-3, -2, -1, 0
Suppose 576*n**5 - 1632*n**4 + 1444*n**3 - 300*n**2 - 84*n - 4 = 0. Calculate n.
-1/12, 1
Factor -5*b**2 - 180*b + 2300.
-5*(b - 10)*(b + 46)
Find r such that -4*r**4 - 32*r**3 - 48*r**2 = 0.
-6, -2, 0
Suppose 4*y**4/7 - 934*y**3/7 + 54286*y**2/7 + 3978*y - 27378/7 = 0. Calculate y.
-1, 1/2, 117
Find p, given that p**5 - 71*p**4 + 403*p**3 - 857*p**2 + 784*p - 260 = 0.
1, 2, 65
Solve 16*w**4 - 44*w**3 - 300*w**2 - 72*w = 0 for w.
-3, -1/4, 0, 6
Determine n, given that 3*n**3/2 - 5*n**2/2 + n = 0.
0, 2/3, 1
Factor 4*m**3 + 600*m**2 + 1188*m + 592.
4*(m + 1)**2*(m + 148)
Determine a, given that -11*a**4 + 146*a**3 - 292*a**2 + 190*a - 33 = 0.
3/11, 1, 11
Factor -2*q**2/3 - 12*q.
-2*q*(q + 18)/3
What is b in 276*b**5/11 + 1378*b**4/11 + 2198*b**3/11 + 1088*b**2/11 - 8*b/11 = 0?
-2, -1, 0, 1/138
What is b in 12*b**5 - 32*b**4 - 20*b**3 + 24*b**2 = 0?
-1, 0, 2/3, 3
Factor -n**4/3 + 8*n**3/3 + 10*n**2 + 32*n/3 + 11/3.
-(n - 11)*(n + 1)**3/3
Let 3*z**3 - 33*z**2 - 408*z - 912 = 0. Calculate z.
-4, 19
Determine q, given that -305*q**2 + 620*q - 20 = 0.
2/61, 2
What is w in -3*w**2 + 3150*w - 826875 = 0?
525
Find z, given that 5*z**3 - 135*z**2 - 285*z - 145 = 0.
-1, 29
Determine t, given that t**3/2 + 41*t**2 - 519*t/2 + 396 = 0.
-88, 3
Let 3*o**2/4 - 55*o/2 + 18 = 0. What is o?
2/3, 36
Let 2*w**2/5 - 188*w/5 + 178 = 0. Calculate w.
5, 89
Solve 5*p**3 - 50*p**2 + 85*p - 40 = 0 for p.
1, 8
Factor d**4/3 - d**3/2 + d**2/6.
d**2*(d - 1)*(2*d - 1)/6
Find b, given that -150*b**4/11 - 180*b**3/11 + 3816*b**2/11 - 2928*b/11 + 576/11 = 0.
-6, 2/5, 4
Factor -a**