= 0.
-2, -1, 1, 3
Factor 2*b**2/3 + 2*b/3.
2*b*(b + 1)/3
Suppose 3*y**4 - 63*y**3 - 93*y**2 + 4815*y + 9450 = 0. What is y?
-7, -2, 15
Determine z, given that 3*z**5 - 48*z**4 + 84*z**3 = 0.
0, 2, 14
Factor -w**4 + 212*w**3 + 859*w**2 + 1078*w + 432.
-(w - 216)*(w + 1)**2*(w + 2)
Let -4*w**4 + 48*w**3 - 168*w**2 + 80*w + 300 = 0. What is w?
-1, 3, 5
Let 2*j**3/13 + 138*j**2 + 41262*j + 4112446 = 0. Calculate j.
-299
Solve 405*o**3 + 2070*o**2 + 3500*o + 1960 = 0 for o.
-2, -14/9
Let -3*q**5 - 18*q**4 + 57*q**3 + 60*q**2 - 108*q - 96 = 0. What is q?
-8, -1, 2
Solve 4*u**2 - 648*u - 4032 = 0.
-6, 168
Factor -2*m**4 - 54*m**3 - 270*m**2 - 378*m.
-2*m*(m + 3)**2*(m + 21)
Factor b**2 + 124*b + 363.
(b + 3)*(b + 121)
Let d**2/4 - 5*d/2 - 24 = 0. Calculate d.
-6, 16
Solve -v**2 + 9*v - 18 = 0 for v.
3, 6
Factor -2*o**3/17 + 146*o**2/17 - 2080*o/17 - 22400/17.
-2*(o - 40)**2*(o + 7)/17
Factor n**4/4 - 101*n**3/4 + 2053*n**2/4 + 25245*n/4 + 27225/2.
(n - 55)**2*(n + 3)*(n + 6)/4
Let 5*b**3 + 2460*b**2 + 24225*b + 60250 = 0. What is b?
-482, -5
Solve -2*z**3/11 + 72*z**2/11 - 648*z/11 + 1728/11 = 0.
6, 24
Let 265*j**2 - 275*j + 10 = 0. What is j?
2/53, 1
Factor -3*o**2 + 57*o - 54.
-3*(o - 18)*(o - 1)
Find r, given that 3*r**2/4 - 261*r/4 - 987/2 = 0.
-7, 94
Factor -5*b**2 + 3250*b - 528125.
-5*(b - 325)**2
Factor 6*j**3/19 - 8*j**2/19 - 2*j/19 + 4/19.
2*(j - 1)**2*(3*j + 2)/19
Factor -3*q**2/5 + 1227*q/5 - 1224/5.
-3*(q - 408)*(q - 1)/5
Factor -v**5 + 1174*v**4 + 2352*v**3 + 2*v**2 - 2351*v - 1176.
-(v - 1176)*(v - 1)*(v + 1)**3
Determine a so that -236*a**5/5 - 712*a**4/5 - 248*a**3/5 + 704*a**2/5 + 484*a/5 + 8/5 = 0.
-2, -1, -1/59, 1
Factor -2*l**2 - 12*l + 14.
-2*(l - 1)*(l + 7)
Factor b**3 + 8*b**2 - 19*b + 10.
(b - 1)**2*(b + 10)
Determine t, given that -3*t**5 - 43*t**4/3 + 82*t**3/3 + 92*t**2/3 - 8*t = 0.
-6, -1, 0, 2/9, 2
Factor 4*n**2/3 - 10928*n/3 + 7463824/3.
4*(n - 1366)**2/3
Solve 4*g**4 - 40*g**3 - 212*g**2 - 168*g = 0.
-3, -1, 0, 14
Solve 2*x**2/11 + 14*x/11 + 24/11 = 0 for x.
-4, -3
Suppose -2*r**3/9 - 58*r**2/9 - 28*r - 32 = 0. Calculate r.
-24, -3, -2
Factor -3*k**4 + 30*k**3 + 36*k**2 - 30*k - 33.
-3*(k - 11)*(k - 1)*(k + 1)**2
Factor m**3 - 271*m**2 + 18760*m - 53868.
(m - 134)**2*(m - 3)
Factor o**4/5 - o**3 - 3*o**2/5 + 13*o/5 + 2.
(o - 5)*(o - 2)*(o + 1)**2/5
Factor 3*s**3 - 207*s**2 + 4761*s - 36501.
3*(s - 23)**3
Solve 4*a**3 - 508*a**2 - 2080*a - 2096 = 0 for a.
-2, 131
What is j in -2*j**3 - 1550*j**2 - 301086*j - 299538 = 0?
-387, -1
Determine c so that c**4/4 - 39*c**3/2 - 60*c**2 - 121*c/2 - 81/4 = 0.
-1, 81
Factor -4*t**2 + 292*t - 2520.
-4*(t - 63)*(t - 10)
Factor 2*g**2 - 816*g + 814.
2*(g - 407)*(g - 1)
Solve 2*o**4/5 + 4*o**3/15 - 8*o**2/5 - 16*o/15 = 0.
-2, -2/3, 0, 2
Suppose 5*q**4/3 + 130*q**3/3 + 320*q**2 + 1550*q/3 + 715/3 = 0. What is q?
-13, -11, -1
Suppose 4*a**3 + 16*a**2 + 16*a = 0. What is a?
-2, 0
Solve -27*q**5/4 + 9*q**4/4 + 21*q**3/2 - 3*q**2/2 - 15*q/4 - 3/4 = 0.
-1, -1/3, 1
Factor 4*y**3 - 2764*y**2 + 481600*y - 1420032.
4*(y - 344)**2*(y - 3)
Solve m**5 - 11*m**4/3 - 11*m**3/3 + 23*m**2/3 + 20*m/3 = 0.
-1, 0, 5/3, 4
Factor 135*u**4 - 1755*u**3 - 1845*u**2 - 625*u - 70.
5*(u - 14)*(3*u + 1)**3
Factor 5*t**2 - 6715*t + 6710.
5*(t - 1342)*(t - 1)
Factor -i**2 + 387*i + 388.
-(i - 388)*(i + 1)
Factor -m**2/5 - 53*m/5 - 546/5.
-(m + 14)*(m + 39)/5
Factor -v**4/3 + v**3 + 5*v**2/3 - v - 4/3.
-(v - 4)*(v - 1)*(v + 1)**2/3
Factor -5*i**5 + 125*i**4 - 1155*i**3 + 4655*i**2 - 6860*i.
-5*i*(i - 7)**3*(i - 4)
Solve -g**2 - g + 2 = 0 for g.
-2, 1
Solve -6*m**5 + 29*m**4 - 45*m**3 + 24*m**2 - 4*m = 0 for m.
0, 1/3, 1/2, 2
Solve y**5 + 91*y**4/8 + 33*y**3/8 = 0 for y.
-11, -3/8, 0
Factor 40*g**3 - 95*g**2 + 70*g - 15.
5*(g - 1)**2*(8*g - 3)
Factor -3*b**2/4 + 1506*b.
-3*b*(b - 2008)/4
What is s in 21*s**4/4 - 123*s**3/2 - 93*s**2/4 + 123*s/2 + 18 = 0?
-1, -2/7, 1, 12
Factor -2*b**4 + 468*b**3 - 26418*b**2 - 113288*b.
-2*b*(b - 119)**2*(b + 4)
Determine k so that -k**3/4 + 15*k**2/4 = 0.
0, 15
Suppose -2*g**5/13 - 72*g**4/13 - 890*g**3/13 - 324*g**2 - 416*g = 0. Calculate g.
-13, -8, -2, 0
Let -18*f**4/11 + 48*f**3/11 - 6*f**2/11 - 48*f/11 + 24/11 = 0. Calculate f.
-1, 2/3, 1, 2
Factor 5*b**2/3 - 3755*b/3.
5*b*(b - 751)/3
What is p in 14*p**4/13 + 340*p**3/13 + 1272*p**2/13 + 112*p + 320/13 = 0?
-20, -2, -2/7
Factor -2*b**2/3 + 768*b - 221184.
-2*(b - 576)**2/3
Factor -p**2/4 - 45*p/2 - 2025/4.
-(p + 45)**2/4
Factor 10*t**5 - 76*t**4 + 42*t**3.
2*t**3*(t - 7)*(5*t - 3)
Factor -d**3/6 + d**2 + d/6 - 1.
-(d - 6)*(d - 1)*(d + 1)/6
What is s in 2*s**2/5 - 12*s/5 - 54/5 = 0?
-3, 9
Solve 4*t**3/5 + 44*t**2 - 456*t/5 = 0.
-57, 0, 2
Factor 2*u**3/5 - 32*u**2/5 - 246*u/5 - 396/5.
2*(u - 22)*(u + 3)**2/5
Let -5*n**3 - 75*n**2 - 315*n - 245 = 0. Calculate n.
-7, -1
Factor 3*o**2/4 + 519*o/4 + 765/2.
3*(o + 3)*(o + 170)/4
Factor -4*s**3 + 24*s**2 + 4*s - 120.
-4*(s - 5)*(s - 3)*(s + 2)
Factor t**4/3 + 25*t**3/3 - 53*t**2/3 + 9*t.
t*(t - 1)**2*(t + 27)/3
Suppose 12*w**3 + 5600*w**2 + 3728*w = 0. Calculate w.
-466, -2/3, 0
Factor -5*t**3 + 5*t**2 + 85*t + 75.
-5*(t - 5)*(t + 1)*(t + 3)
Determine g, given that -1004*g**5 + 8*g**4 + 2008*g**3 - 16*g**2 - 1004*g + 8 = 0.
-1, 2/251, 1
Find r, given that 2*r**3/15 - 176*r**2/15 - 728*r/15 - 736/15 = 0.
-2, 92
Factor l**4/5 + 3*l**3/5 - 7*l**2/5 - 3*l + 18/5.
(l - 2)*(l - 1)*(l + 3)**2/5
Determine j, given that 3*j**5 + 9*j**4 - 6*j**3 - 18*j**2 + 3*j + 9 = 0.
-3, -1, 1
Suppose 2*v**2/9 - 1136*v/9 + 126 = 0. What is v?
1, 567
Suppose -3*n**4/7 + 122*n**3/7 + 169*n**2/7 - 40*n/7 - 12 = 0. Calculate n.
-1, 2/3, 42
Suppose -5*f**4 + 108*f**3 - 163*f**2 + 60*f = 0. What is f?
0, 3/5, 1, 20
Suppose -2*y**3/3 - 14*y**2/3 - 28*y/3 - 16/3 = 0. What is y?
-4, -2, -1
Determine m, given that 4*m**4/3 + 256*m**3/3 - 1152*m**2 + 14336*m/3 - 19456/3 = 0.
-76, 4
Let 9*y**2/4 - y/4 = 0. Calculate y.
0, 1/9
Factor -231*n**2 + 64*n - 4.
-(11*n - 2)*(21*n - 2)
Factor -2*g**5/15 - 4*g**4/5 - 6*g**3/5 - 8*g**2/15.
-2*g**2*(g + 1)**2*(g + 4)/15
Factor 2*c**3/3 + 740*c**2/3 + 68450*c/3.
2*c*(c + 185)**2/3
Solve -2*b**4/11 + 1932*b**3/11 - 42240*b**2 - 85184*b = 0 for b.
-2, 0, 484
Factor -t**2/3 + 17*t.
-t*(t - 51)/3
Factor -12*d**3 + 64*d**2 + 52*d - 24.
-4*(d - 6)*(d + 1)*(3*d - 1)
Factor -3*x**2 - 12*x + 135.
-3*(x - 5)*(x + 9)
Factor -2*p**3/11 - 1108*p**2/11.
-2*p**2*(p + 554)/11
Factor 3*x**2 - 48*x - 51.
3*(x - 17)*(x + 1)
Factor -44*u**5 - 96*u**4 - 60*u**3 - 8*u**2.
-4*u**2*(u + 1)**2*(11*u + 2)
Determine k so that 5*k**2 - 2555*k = 0.
0, 511
Let l**3 - 65*l**2 + 1247*l - 5887 = 0. Calculate l.
7, 29
Factor 2*p**3 - 1482*p**2 + 275280*p - 273800.
2*(p - 370)**2*(p - 1)
Factor -4*k**2 - 144*k.
-4*k*(k + 36)
Solve -2*y**2 - 14768*y - 27261728 = 0 for y.
-3692
Factor 3*d**5/8 + 21*d**4/2 - 87*d**3/8.
3*d**3*(d - 1)*(d + 29)/8
Factor 3*a**3/7 - 12*a**2/7 - 33*a/7 - 18/7.
3*(a - 6)*(a + 1)**2/7
Let -15*d**2 + 740*d + 500 = 0. Calculate d.
-2/3, 50
Let x**2/3 - 347*x/6 + 173/6 = 0. Calculate x.
1/2, 173
Factor q**2/7 + 4190*q/7 + 4389025/7.
(q + 2095)**2/7
Determine v so that -2*v**4/5 + 26*v**2/5 + 24*v/5 = 0.
-3, -1, 0, 4
Factor z**5 + 6*z**4 + 5*z**3 - 12*z**2.
z**2*(z - 1)*(z + 3)*(z + 4)
Suppose q**4/5 + 3*q**3/5 - q**2 - 3*q/5 + 4/5 = 0. Calculate q.
-4, -1, 1
Factor -2*x**3/11 - 30*x**2/11 + 104*x/11 - 72/11.
-2*(x - 2)*(x - 1)*(x + 18)/11
Suppose -5*d**4 + 27*d**3 - 25*d**2 - 39*d + 18 = 0. What is d?
-1, 2/5, 3
Factor 5*w**2 - 2915*w + 2910.
5*(w - 582)*(w - 1)
Factor -3*q**3 + 99*q**2 + 480*q - 1332.
-3*(q - 37)*(q - 2)*(q + 6)
Determine i so that -8*i**2 + 52*i + 96 = 0.
-3/2, 8
Find b such that -2*b**2 + 38*b - 120 = 0.
4, 15
Factor -20*y**3 + 71*y**2 - 236*y/5 + 44/5.
-(4*y - 11)*(5*y - 2)**2/5
Factor 2*m**3 + 836*m**2 - 4222*m + 3384.
2*(m - 4)*(m - 1)*(m + 423)
Factor 35*z**3 + 380*z**2 - 475*z + 60.
5*(z - 1)*(z + 12)*(7*z - 1)
Let 2*p**3/11 + 186*p**2/11 - 2*p/11 - 186/11 = 0. What is p?
-93, -1, 1
Factor -8*m**4/3 + 22*m**3/3 + 184*m**2/3 + 72*m.
-2*m*(m + 2)**2*(4*m - 27)/3
Determine i, given that 5*i**2 - 630*i + 19845 = 0.
63
Determine o, given that 4*o**5 - 12*o**4 - 12*o**3 + 44*o**2 - 24*o = 0.
-2, 0, 1, 3
Factor 3*w**2/2 + 819*w/2 - 411.
3*(w - 1)*(w + 274)/2
Solve -q**3/5 - 