70.
-5*(j - 17)*(j + 1)**2*(j + 2)
Factor -4*k**2 - 140*k - 384.
-4*(k + 3)*(k + 32)
Factor h**5 - 136*h**4 - 554*h**3 - 836*h**2 - 559*h - 140.
(h - 140)*(h + 1)**4
Factor -3*u**4 + 54*u**3 + 117*u**2 + 60*u.
-3*u*(u - 20)*(u + 1)**2
Suppose -4*f**4 - 20*f**3 - 24*f**2 + 16*f + 32 = 0. Calculate f.
-2, 1
Factor -3*x**4 - 45*x**3 - 234*x**2 - 480*x - 288.
-3*(x + 1)*(x + 4)**2*(x + 6)
Factor 3*a**3/5 + 6*a**2 + 21*a/5 - 54/5.
3*(a - 1)*(a + 2)*(a + 9)/5
Factor 4*r**3 - 1104*r**2 - 9060*r - 7952.
4*(r - 284)*(r + 1)*(r + 7)
Factor 2*t**3 + 44*t**2 + 42*t.
2*t*(t + 1)*(t + 21)
Determine t so that 3*t**2/5 - 6*t/5 = 0.
0, 2
Find u, given that -5*u**2/3 - 4*u/3 + 4 = 0.
-2, 6/5
Solve 2*t**5 - 110*t**4 + 96*t**3 + 656*t**2 - 416*t - 864 = 0 for t.
-2, -1, 2, 54
Suppose 3*t**3/2 + 163*t**2/2 + 2241*t/2 + 729/2 = 0. Calculate t.
-27, -1/3
Factor -8*b**3/7 - 5*b**2/7 + 3*b/7.
-b*(b + 1)*(8*b - 3)/7
Factor 2904*r**2 + 484*r - 40.
4*(22*r + 5)*(33*r - 2)
Solve 2*y**2/11 - 688*y/11 + 59168/11 = 0 for y.
172
Factor 4*j**3 + 2484*j**2 + 514188*j + 35478972.
4*(j + 207)**3
Determine f so that f**2 + 31*f + 238 = 0.
-17, -14
Factor l**5/3 - 7*l**4/3 - 3*l**3 + 7*l**2/3 + 8*l/3.
l*(l - 8)*(l - 1)*(l + 1)**2/3
Let -4*t**5 + 308*t**4/5 - 276*t**3 + 1324*t**2/5 + 2072*t/5 - 192 = 0. Calculate t.
-1, 2/5, 3, 5, 8
Factor 2*u**3/9 - 46*u**2/9 + 158*u/9 - 38/3.
2*(u - 19)*(u - 3)*(u - 1)/9
Let 5*p**2 + 30*p - 35 = 0. Calculate p.
-7, 1
Solve -g**5 - 97*g**4/5 - 23*g**3/5 + 281*g**2/5 - 16*g - 76/5 = 0.
-19, -2, -2/5, 1
Factor 3*t**3/5 + 33*t**2 + 624*t/5 + 612/5.
3*(t + 2)**2*(t + 51)/5
Factor -a**2 + 35*a + 114.
-(a - 38)*(a + 3)
Determine s, given that -6*s**4 - 284*s**3/3 + 1162*s**2/3 + 1124*s/3 - 304/3 = 0.
-19, -1, 2/9, 4
Let 5*k**5/4 + 45*k**4/4 + 145*k**3/4 + 215*k**2/4 + 75*k/2 + 10 = 0. What is k?
-4, -2, -1
Solve -x**3/2 + 23*x**2/2 - 76*x + 110 = 0 for x.
2, 10, 11
Solve -3*r**5 - 501*r**4/4 - 417*r**3/2 + 60*r**2 = 0.
-40, -2, 0, 1/4
Factor -4*s**4 - 1032*s**3 - 1020*s**2 + 2056*s.
-4*s*(s - 1)*(s + 2)*(s + 257)
Factor -3*o**2 - 59*o - 38.
-(o + 19)*(3*o + 2)
Factor 2*r**5/5 - 12*r**4/5 - 14*r**3/5.
2*r**3*(r - 7)*(r + 1)/5
Solve -308*p**2 + 926*p - 6 = 0 for p.
1/154, 3
Suppose -4*h**2 - 800*h - 40000 = 0. Calculate h.
-100
Factor g**3/2 - g**2 - 9*g/2 + 9.
(g - 3)*(g - 2)*(g + 3)/2
Factor w**2 + 123*w.
w*(w + 123)
Let 2*o**4/15 - 406*o**3/3 + 170682*o**2/5 + 312526*o/3 - 2072648/15 = 0. What is o?
-4, 1, 509
Factor -605*x**3 - 187165*x**2 - 14568640*x - 14382080.
-5*(x + 1)*(11*x + 1696)**2
Factor 5*j**3 - 1945*j**2 + 192035*j - 558735.
5*(j - 193)**2*(j - 3)
Suppose -4*q**2 + 72*q - 68 = 0. Calculate q.
1, 17
Suppose -3*m**5 + 3*m**4 + 6*m**3 = 0. What is m?
-1, 0, 2
Factor d**4/3 + 4*d**3/3 - 2*d**2/3 - 4*d + 3.
(d - 1)**2*(d + 3)**2/3
Let -92*s**5/3 + 64*s**4 + 260*s**3/3 - 392*s**2/3 - 112*s + 32/3 = 0. What is s?
-1, 2/23, 2
Determine m so that -12*m**5/19 - 122*m**4/19 - 20*m**3/19 = 0.
-10, -1/6, 0
Find j such that 3*j**2 - 27 = 0.
-3, 3
Let -q**3/2 + 3*q**2/2 - 3*q/2 + 1/2 = 0. Calculate q.
1
Factor 3*o**2/7 - 9*o + 240/7.
3*(o - 16)*(o - 5)/7
Let -2*z**2 - 298*z - 588 = 0. Calculate z.
-147, -2
Factor 1780*t**2 + 1684*t - 96.
4*(t + 1)*(445*t - 24)
Find m such that 192*m**4 - 5136*m**3 + 51156*m**2 - 224547*m + 365835 = 0.
5, 29/4
Factor 9*l**2 + 5187*l - 3462.
3*(l + 577)*(3*l - 2)
Let -2*j**4/15 + 14*j**3/15 - 12*j**2/5 + 8*j/3 - 16/15 = 0. Calculate j.
1, 2
Factor -2*q**3/11 - 6*q**2/11 - 4*q/11.
-2*q*(q + 1)*(q + 2)/11
Determine k, given that -363*k**3 - 1859*k**2 - 664*k/3 - 20/3 = 0.
-5, -2/33
Solve -2*q**2/5 + 449*q/5 + 678/5 = 0 for q.
-3/2, 226
Determine n so that 2*n**5 - 2*n**4 - 22*n**3 + 58*n**2 - 52*n + 16 = 0.
-4, 1, 2
Suppose -5*v**5 + 12*v**4 + 7*v**3 - 30*v**2 + 16*v = 0. What is v?
-8/5, 0, 1, 2
Factor 37*d**4/6 - 112*d**3/3 + 76*d**2 - 160*d/3 + 8/3.
(d - 2)**3*(37*d - 2)/6
Factor 225*y**2/7 - 132*y/7 - 93/7.
3*(y - 1)*(75*y + 31)/7
Factor 12*p**4 + 45*p**3 + 36*p**2 - 12*p.
3*p*(p + 2)**2*(4*p - 1)
Suppose 2*a**2/5 + 3729*a/5 - 373 = 0. Calculate a.
-1865, 1/2
Find i, given that i**5 + 5*i**4/2 - 15*i**3/2 - 5*i**2/2 + 25*i/2 - 6 = 0.
-4, -3/2, 1
Suppose 3*d**4 + 3099*d**3 + 804951*d**2 + 2393205*d + 1591350 = 0. What is d?
-515, -2, -1
Determine i so that -2*i**3/13 - 4*i**2/13 + 6*i/13 = 0.
-3, 0, 1
Solve 20*l**5 + 192*l**4 - 580*l**3 + 560*l - 192 = 0 for l.
-12, -1, 2/5, 1, 2
Solve 3*w**2 - 18*w - 81 = 0.
-3, 9
Factor 3*w**3/5 - 72*w**2/5 - 3*w/5 + 72/5.
3*(w - 24)*(w - 1)*(w + 1)/5
Determine g, given that 2*g**4/5 + 40*g**3 + 1260*g**2 + 9800*g - 85750 = 0.
-35, 5
Solve -2*x**3 - 38*x**2 + 40*x = 0.
-20, 0, 1
Suppose 4*a**3 + 112*a**2 + 660*a - 1800 = 0. Calculate a.
-15, 2
Factor -n**4/6 + 44*n**3/3 - 1256*n**2/3 + 4224*n - 13824.
-(n - 36)**2*(n - 8)**2/6
Determine p, given that -4*p**3 + 4*p**2 + 104*p + 96 = 0.
-4, -1, 6
Factor -5*u**3 - 1875*u**2 - 176715*u - 174845.
-5*(u + 1)*(u + 187)**2
Determine k, given that -k**4 - 48*k**3 - 476*k**2 = 0.
-34, -14, 0
Factor 4*d**3/5 - 324*d**2/5 + 1248*d/5 - 1232/5.
4*(d - 77)*(d - 2)**2/5
Factor 2*o**5 - 4*o**4 - 18*o**3 + 44*o**2 + 8*o - 48.
2*(o - 2)**3*(o + 1)*(o + 3)
Solve q**2 - 11*q + 10 = 0.
1, 10
Let m**3/4 + 149*m**2/2 + 1179*m/4 + 441/2 = 0. Calculate m.
-294, -3, -1
Factor 11*o**3 - 10*o**2 - 67*o - 6.
(o - 3)*(o + 2)*(11*o + 1)
Factor -2*h**3/9 - 242*h**2/9 + 508*h/3.
-2*h*(h - 6)*(h + 127)/9
Find p, given that 2*p**3/5 + 44*p**2/5 - 94*p/5 + 48/5 = 0.
-24, 1
Find m such that m**2 - 15*m = 0.
0, 15
Determine o so that 15*o**2 - 25*o - 10 = 0.
-1/3, 2
Find l, given that 6*l**5 + 8*l**4 - 58*l**3 - 44*l**2 + 136*l + 48 = 0.
-3, -2, -1/3, 2
Determine m, given that -2*m**5/9 + 10*m**4/9 + 12*m**3 + 248*m**2/9 + 176*m/9 = 0.
-2, 0, 11
Factor d**2/3 - 130*d/3 + 43.
(d - 129)*(d - 1)/3
Determine o so that -3*o**2 - 66*o - 336 = 0.
-14, -8
Factor 2*d**2 + 20*d - 112.
2*(d - 4)*(d + 14)
Factor -4*b**4 - 84*b**3 + 492*b**2 - 716*b + 312.
-4*(b - 3)*(b - 1)**2*(b + 26)
Find b such that -3*b**4/4 - 9*b**3 + 27*b**2/2 + 243*b - 2187/4 = 0.
-9, 3
Factor 8*w**3 + 302*w**2 + 220*w - 74.
2*(w + 1)*(w + 37)*(4*w - 1)
Find y such that -44*y**4 - 432*y**3 + 652*y**2 + 864*y - 176 = 0.
-11, -1, 2/11, 2
Suppose -2*f**3/9 + 34*f**2/9 - 148*f/9 + 176/9 = 0. Calculate f.
2, 4, 11
Let -55*f**5 - 555*f**4 - 1425*f**3 - 125*f**2 = 0. What is f?
-5, -1/11, 0
Factor -4*k**2 - 5568*k - 11120.
-4*(k + 2)*(k + 1390)
Factor l**3 - 65*l**2 + 1407*l - 10143.
(l - 23)*(l - 21)**2
Factor -l**3/5 + 7*l/5 - 6/5.
-(l - 2)*(l - 1)*(l + 3)/5
Let 6*z**2 + 87*z - 45 = 0. What is z?
-15, 1/2
Factor 22*r**2/3 - 940*r/3 - 86.
2*(r - 43)*(11*r + 3)/3
Factor -x**5/6 - 16*x**4 + x**3 + 284*x**2/3 - 255*x/2 + 48.
-(x - 1)**3*(x + 3)*(x + 96)/6
Factor 2*x**2/9 + 1072*x/9 + 1070/9.
2*(x + 1)*(x + 535)/9
Let 8*k**5/3 - 30*k**4 + 14*k**3/3 + 30*k**2 - 22*k/3 = 0. Calculate k.
-1, 0, 1/4, 1, 11
Find u, given that 2*u**3/9 + 186*u**2 + 117040*u/3 + 349448/9 = 0.
-418, -1
Factor f**4/4 - 19*f**3/2 + 173*f**2/4 - 67*f + 33.
(f - 33)*(f - 2)**2*(f - 1)/4
Factor 4*v**4 + 16*v**3 + 8*v**2 - 16*v - 12.
4*(v - 1)*(v + 1)**2*(v + 3)
Find x, given that -108*x**5 + 7776*x**4 - 191196*x**3 + 1702120*x**2 - 2214800*x - 4116000 = 0.
-1, 3, 70/3
What is k in k**2/7 - 2*k + 24/7 = 0?
2, 12
Find f such that -2*f**2/13 + 1096*f/13 - 1094/13 = 0.
1, 547
Suppose -105*s**4 + 404*s**3 - 355*s**2 - 68*s + 4 = 0. Calculate s.
-1/5, 1/21, 2
Let 15*p**4 - 20*p**3 + 5*p**2 = 0. Calculate p.
0, 1/3, 1
Factor -k**4/3 - k**3 + 2*k**2 + 8*k/3.
-k*(k - 2)*(k + 1)*(k + 4)/3
Determine g, given that -3*g**5 - 12*g**4 + 213*g**3 - 294*g**2 - 960*g + 1056 = 0.
-11, -2, 1, 4
Solve -b**3/5 - 22*b**2/5 - 59*b/5 - 38/5 = 0 for b.
-19, -2, -1
Factor -30276*f**4 - 67512*f**3 - 44596*f**2 - 7760*f - 400.
-4*(f + 1)**2*(87*f + 10)**2
Factor j**2/11 - 36*j/11 - 160/11.
(j - 40)*(j + 4)/11
Factor 3*i**2 - 132*i - 576.
3*(i - 48)*(i + 4)
Factor 3*j**2 + 6*j - 24.
3*(j - 2)*(j + 4)
Factor 3*w**3/2 + 75*w**2/2.
3*w**2*(w + 25)/2
Factor 2*r**4/9 - 4*r**3/3 + 2*r**2 - 8*r/9.
2*r*(r - 4)*(r - 1)**2/9
Factor -v**2 - 2259*v.
-v*(v + 2259)
Factor -i**2 - 88*i - 172.
-(i + 2)*(i + 86)
Solve w**3/3 + 2*w**2 - 8*w - 64/3 = 0 for w.
-8, -2, 4
Factor 15*a**4 - 93*a**3 +