**4 - 10*v**3 - 15*v**2.
5*v**2*(v - 3)*(v + 1)
Factor 2*x**4 + 164*x**3 + 3194*x**2 - 6888*x + 3528.
2*(x - 1)**2*(x + 42)**2
Suppose -6*u**4/5 + 24*u**3/5 - 6*u**2/5 - 36*u/5 = 0. Calculate u.
-1, 0, 2, 3
Find y, given that -3*y**3/7 + 6*y**2/7 - 3*y/7 = 0.
0, 1
Factor g**4 + 3*g**3 - 95*g**2 - 399*g + 490.
(g - 10)*(g - 1)*(g + 7)**2
Solve 3*i**5 - 114*i**4 - 4035*i**3 - 26670*i**2 + 4032*i + 26784 = 0 for i.
-12, -1, 1, 62
Determine l, given that 4*l**3 - 32*l**2 - 260*l = 0.
-5, 0, 13
What is c in -7*c**4/3 - 25*c**3/3 + 4*c**2 = 0?
-4, 0, 3/7
Suppose -4*c**4/7 + 92*c**3/7 - 320*c**2/7 + 304*c/7 = 0. What is c?
0, 2, 19
Factor j**4 + 6*j**3 + 4*j**2 - 6*j - 5.
(j - 1)*(j + 1)**2*(j + 5)
What is j in 5*j**5 + 30*j**4 + 40*j**3 - 30*j**2 - 45*j = 0?
-3, -1, 0, 1
Let 2*n**2/9 + 154*n/9 + 1340/9 = 0. What is n?
-67, -10
Find s such that -2*s**4/17 - 18*s**3/17 - 42*s**2/17 + 2*s/17 + 60/17 = 0.
-5, -3, -2, 1
Determine c so that 36*c**5 - 348*c**4 - 152*c**3 + 304*c**2 + 160*c = 0.
-2/3, 0, 1, 10
Solve -4*f**3/9 + 68*f**2/9 + 4*f/9 - 68/9 = 0.
-1, 1, 17
Let 5*h**3 - 40*h**2 - 5*h + 40 = 0. Calculate h.
-1, 1, 8
Factor 15*y**3/4 + 37*y**2 - 1805*y/4 + 119/2.
(y - 7)*(y + 17)*(15*y - 2)/4
What is f in -18*f**5/7 - 1452*f**4/7 - 3728*f**3/7 + 1312*f**2/7 + 4960*f/7 - 2496/7 = 0?
-78, -2, 2/3
Find n, given that 3*n**2/7 + 3228*n/7 + 868332/7 = 0.
-538
Factor -2*r**2 - 98*r + 100.
-2*(r - 1)*(r + 50)
What is r in -2*r**2/15 - 14*r/15 + 16/15 = 0?
-8, 1
Factor 756*c**2/5 + 454*c + 6/5.
2*(c + 3)*(378*c + 1)/5
Suppose 490*t**4/9 - 2506*t**3/9 + 26*t**2 + 226*t/9 + 20/9 = 0. Calculate t.
-1/7, 2/5, 5
Factor -3*u**4 + 1107*u**3 + 3342*u**2 + 2232*u.
-3*u*(u - 372)*(u + 1)*(u + 2)
Suppose -4*s**5 + 28*s**4 + 8*s**3 - 56*s**2 - 4*s + 28 = 0. Calculate s.
-1, 1, 7
Solve -3*r**4 - 6744*r**3 - 5049000*r**2 - 1255500000*r + 2531250000 = 0 for r.
-750, 2
Factor d**5 + 94*d**4 + 93*d**3.
d**3*(d + 1)*(d + 93)
Determine j so that 2*j**3/3 + 14*j**2/3 + 20*j/3 = 0.
-5, -2, 0
Factor -5*s**4 + 45*s**3 - 100*s**2.
-5*s**2*(s - 5)*(s - 4)
Solve -2*x**4/5 + 24*x**3/5 - 42*x**2/5 + 4*x = 0 for x.
0, 1, 10
Suppose 2*m**2/11 - 872*m/11 - 874/11 = 0. Calculate m.
-1, 437
Let 2*n**4/3 - 8*n**3 - 26*n**2/3 = 0. Calculate n.
-1, 0, 13
What is s in s**4/6 - s**3 - 14*s**2/3 + s + 9/2 = 0?
-3, -1, 1, 9
Factor u**2/7 - 631*u/7 + 712.
(u - 623)*(u - 8)/7
Determine q so that -q**5 + 1728*q**3 + 27648*q**2 = 0.
-24, 0, 48
Solve 2*z**2/3 - 46*z/3 + 84 = 0.
9, 14
Factor -l**4/9 + 17*l**3/9 + 38*l**2/9.
-l**2*(l - 19)*(l + 2)/9
Determine z, given that -20*z**5 + 225*z**4 - 760*z**3 + 735*z**2 + 360*z - 540 = 0.
-3/4, 1, 2, 3, 6
Solve -20*o**5 - 155*o**4 + 315*o**3 + 855*o**2 + 405*o = 0.
-9, -1, -3/4, 0, 3
Factor -5*d**3/3 + 55*d**2/3 + 740*d - 2340.
-5*(d - 26)*(d - 3)*(d + 18)/3
Suppose q**5 + 19*q**4 + 43*q**3 - 83*q**2 - 44*q + 64 = 0. Calculate q.
-16, -4, -1, 1
Factor -2*x**2/11 - 8*x/11 - 6/11.
-2*(x + 1)*(x + 3)/11
Find z such that 4*z**3 + 1184*z**2 - 12140*z + 30600 = 0.
-306, 5
Factor 3*c**4 - 60*c**3 + 51*c**2 + 114*c.
3*c*(c - 19)*(c - 2)*(c + 1)
Let -81*a**5 + 279*a**4 - 40*a**3 - 400*a**2 = 0. What is a?
-1, 0, 20/9
Factor -12*s**2 + 308*s - 200.
-4*(s - 25)*(3*s - 2)
Factor 9*l**3/7 + 93*l**2/7.
3*l**2*(3*l + 31)/7
Factor -4*g**2 + 6352*g - 2521744.
-4*(g - 794)**2
Let 15*f**3 - 760*f**2 + 1940*f - 960 = 0. What is f?
2/3, 2, 48
Factor -14*l**5 + 64*l**4 - 624*l**3/7 + 256*l**2/7 - 32*l/7.
-2*l*(l - 2)**2*(7*l - 2)**2/7
Factor 9*d**2 + 17*d - 26.
(d - 1)*(9*d + 26)
Solve 2*b**3 - 510*b**2 = 0 for b.
0, 255
Let 3*v**5 + 15*v**4 + 15*v**3 - 15*v**2 - 18*v = 0. What is v?
-3, -2, -1, 0, 1
Factor -b**4/2 + 5*b**3 - 29*b**2/2 + 4*b + 24.
-(b - 4)**2*(b - 3)*(b + 1)/2
Suppose 12*j**5 - 21*j**4 - 402*j**3 - 363*j**2 + 606*j + 168 = 0. What is j?
-4, -2, -1/4, 1, 7
Factor 3*q**4 - 177*q**3 - 186*q**2 + 360*q.
3*q*(q - 60)*(q - 1)*(q + 2)
Factor 5*b**3 - 10*b**2 - 15*b.
5*b*(b - 3)*(b + 1)
Factor -5*y**3 - 90*y**2 + 425*y - 330.
-5*(y - 3)*(y - 1)*(y + 22)
Factor 22*k**3/3 + 52*k**2/3 - 160*k/3 - 64/3.
2*(k - 2)*(k + 4)*(11*k + 4)/3
What is b in 2*b**4 + 824*b**3 + 84870*b**2 - 824*b - 84872 = 0?
-206, -1, 1
Factor l**5/6 - 25*l**4/6 + 15*l**3 - 65*l**2/3 + 85*l/6 - 7/2.
(l - 21)*(l - 1)**4/6
Suppose -w**2/4 + 1 = 0. What is w?
-2, 2
Factor -15*c**3 + 25*c**2 - 10*c.
-5*c*(c - 1)*(3*c - 2)
Factor 9*k**3/4 + 69*k**2/2 - 456*k + 288.
3*(k - 8)*(k + 24)*(3*k - 2)/4
Factor 25*q**3/4 - 35*q**2/4 + 5*q/2.
5*q*(q - 1)*(5*q - 2)/4
Factor 9*c**3 + 753*c**2 - 3120*c + 3156.
3*(c - 2)**2*(3*c + 263)
Suppose 4*t**2 - 104*t + 612 = 0. What is t?
9, 17
What is s in 187*s**5/12 - 125*s**4/4 + s**3/6 = 0?
0, 1/187, 2
Factor -2*o**4 + 166*o**3.
-2*o**3*(o - 83)
Factor -4*m**2 + 112*m - 208.
-4*(m - 26)*(m - 2)
Factor -5*u**4 + 515*u**3 - 12990*u**2 - 14560*u + 27040.
-5*(u - 52)**2*(u - 1)*(u + 2)
Factor 8*p**2 - 25258*p + 6314.
2*(p - 3157)*(4*p - 1)
Factor -6*b**4 + 32*b**3 + 74*b**2 - 28*b.
-2*b*(b - 7)*(b + 2)*(3*b - 1)
Factor q**5/2 - 255*q**4 + 43350*q**3 - 2456500*q**2.
q**2*(q - 170)**3/2
Find m, given that -m**4 + 99*m**3 - 2594*m**2 + 7104*m - 4608 = 0.
1, 2, 48
Factor n**3/10 + 3*n**2/5 - 3*n/2 + 4/5.
(n - 1)**2*(n + 8)/10
What is q in 4*q**5 + 8*q**4 - 44*q**3 - 48*q**2 + 144*q = 0?
-3, 0, 2
Factor 7*g**2/6 - g - 8/3.
(g - 2)*(7*g + 8)/6
Let -2*f**3 - 82*f**2 - 348*f + 432 = 0. What is f?
-36, -6, 1
Factor -3*m**3 + 9*m**2 + 12*m - 36.
-3*(m - 3)*(m - 2)*(m + 2)
Let -2*h**5 + 456*h**4 - 452*h**3 - 456*h**2 + 454*h = 0. Calculate h.
-1, 0, 1, 227
Factor -2*n**2 - 6*n + 56.
-2*(n - 4)*(n + 7)
Suppose 4*y**3/11 - 101*y**2/11 - 79*y/11 + 26/11 = 0. What is y?
-1, 1/4, 26
Factor -4*k**2 - 6440*k - 2592100.
-4*(k + 805)**2
Let y**2/5 + 28*y/5 - 93/5 = 0. What is y?
-31, 3
Solve 2*p**5/5 - 18*p**4/5 + 58*p**3/5 - 78*p**2/5 + 36*p/5 = 0.
0, 1, 2, 3
Let 3*r**2 - 72*r = 0. Calculate r.
0, 24
Find h, given that 2*h**3/13 + 2*h**2 + 112*h/13 + 160/13 = 0.
-5, -4
Factor -4*w**3 + 920*w**2 - 52900*w.
-4*w*(w - 115)**2
Factor 3*t**4 - 24*t**3 + 51*t**2 - 30*t.
3*t*(t - 5)*(t - 2)*(t - 1)
Find d such that d**5 - 2*d**4 + 2*d**2 - d = 0.
-1, 0, 1
Solve 8*d**5/3 + 2*d**4 - 2*d**3/3 = 0 for d.
-1, 0, 1/4
Find u such that u**4/6 + 29*u**3/6 + 75*u**2/2 + 367*u/6 + 85/3 = 0.
-17, -10, -1
Factor 2*h**2/13 + 68*h/13 - 144/13.
2*(h - 2)*(h + 36)/13
Determine s, given that 5*s**5 - 55*s**4 - 835*s**3 - 1525*s**2 + 4250*s + 5000 = 0.
-5, -1, 2, 20
Factor 2*g**3 - 2*g**2 - 18*g + 18.
2*(g - 3)*(g - 1)*(g + 3)
Factor 10*i**4 + 175*i**3 + 880*i**2 + 960*i.
5*i*(i + 8)**2*(2*i + 3)
Determine m so that 5*m**4 + 65*m**3 + 30*m**2 - 360*m = 0.
-12, -3, 0, 2
Factor -5*m**3 - 135*m**2 - 130*m.
-5*m*(m + 1)*(m + 26)
Factor -6*f**3/7 - 180*f**2/7 + 654*f/7 + 1980/7.
-6*(f - 5)*(f + 2)*(f + 33)/7
Factor 5*o**2 + 1450*o - 2920.
5*(o - 2)*(o + 292)
Find w, given that -8*w**3/7 - 240*w**2/7 + 774*w/7 - 594/7 = 0.
-33, 3/2
Factor 5*n**3 - 45*n**2 + 540.
5*(n - 6)**2*(n + 3)
Factor 2*o**5/5 + 4*o**4/5 - 8*o**3/5 - 16*o**2/5.
2*o**2*(o - 2)*(o + 2)**2/5
Factor -7*y**5/3 + 18*y**4 - 152*y**3/3 + 176*y**2/3 - 16*y - 32/3.
-(y - 2)**4*(7*y + 2)/3
Suppose 2*u**5/3 + 17*u**4/3 + 15*u**3 + 12*u**2 = 0. Calculate u.
-4, -3, -3/2, 0
Let z**5/4 + 69*z**4/4 + 877*z**3/2 + 4910*z**2 + 22200*z + 28000 = 0. Calculate z.
-20, -7, -2
Factor -4*z**3 + 36*z**2 - 32*z.
-4*z*(z - 8)*(z - 1)
Factor -4*w**3 + 176*w**2 - 756*w - 29160.
-4*(w - 27)**2*(w + 10)
Factor 4*a**4 - 12*a**3 + 8*a**2.
4*a**2*(a - 2)*(a - 1)
Solve 5*b**4 - 20*b**3 - 575*b**2 - 1750*b = 0.
-5, 0, 14
Factor 5*a**2 + 60*a - 540.
5*(a - 6)*(a + 18)
Determine p, given that -5*p**2 - 150*p - 145 = 0.
-29, -1
Determine c, given that -c**5 + c**4 + 3*c**3 - c**2 - 2*c = 0.
-1, 0, 1, 2
Determine b, given that -14*b**4/13 + 318*b**3 - 5296*b**2/13 + 1176*b/13 = 0.
0, 2/7, 1, 294
Solve -4*a**2 - 112*a - 108 = 0 for a.
-27, -1
Let -36992*m**2/3 - 544*m/3 - 2/3 = 0. What is m?
-1/136
Factor s**2/10 - 13*s/10 + 18/5.
(s - 9)*(s - 4)/10
Suppose 4*p**5 + 33*p**4 + 96*p**3 + 118*p**2 + 60*p + 9 = 0. What is p?
-3, -1, -1/4
Factor o**4/2 + 14*o**3 - 177*o**2 - 394*o - 407/2.
(o - 11)*(o + 1)**2*(o + 37)/2
Let 2*x**2/5 + 162*x/5 - 164/5 = 0. What is x?
-82, 1
Factor 195*f**3 - 5058*f**