- 6)**2/8
Find u such that 4*u**5 - 32*u**4 + 72*u**3 - 64*u**2 + 20*u = 0.
0, 1, 5
Factor -3*d**4 - 6309*d**3 - 4416282*d**2 - 1024539516*d + 3113535672.
-3*(d - 3)*(d + 702)**3
Factor f**4/3 - 4*f**3/3 - 5*f**2/3.
f**2*(f - 5)*(f + 1)/3
Factor -2*o**3/11 + 250*o**2/11 - 492*o/11.
-2*o*(o - 123)*(o - 2)/11
Factor -4*i**4 - 172*i**3 + 176*i**2.
-4*i**2*(i - 1)*(i + 44)
Factor -2*l**5 - 28*l**4 - 64*l**3 + 256*l**2.
-2*l**2*(l - 2)*(l + 8)**2
Determine p so that 36*p**2/5 - 1392*p/5 + 13456/5 = 0.
58/3
Let 2*k**4/5 + 6*k**3/5 - 2*k**2 - 6*k/5 + 8/5 = 0. Calculate k.
-4, -1, 1
Factor -3*o**2/2 + 450*o - 33750.
-3*(o - 150)**2/2
Suppose 256328*l**3/3 + 85204*l**2 - 477*l/2 + 1/6 = 0. Calculate l.
-1, 1/716
Suppose -y**2/5 + 33*y/5 - 40 = 0. Calculate y.
8, 25
Factor -128*x**4/11 + 416*x**3/11 + 6696*x**2/11 + 17982*x/11 + 14580/11.
-2*(x - 10)*(4*x + 9)**3/11
Let 15*n**4/2 - 145*n**3 + 845*n**2/2 - 365*n + 80 = 0. What is n?
1/3, 1, 2, 16
Factor t**4/6 - t**3/2 - 14*t**2/3 + 10*t.
t*(t - 6)*(t - 2)*(t + 5)/6
Factor s**2/5 - 168*s/5 + 7056/5.
(s - 84)**2/5
Let 2*s**4/15 + 5456*s**3/15 + 5452*s**2/5 + 16352*s/15 + 1090/3 = 0. What is s?
-2725, -1
Factor -2*k**3 + 2*k**2 + 42*k - 90.
-2*(k - 3)**2*(k + 5)
Find p such that -2*p**2 - 23*p/6 + 1/3 = 0.
-2, 1/12
Let 2*r**2 + 30*r - 68 = 0. Calculate r.
-17, 2
Factor 2*m**3/17 - 58*m**2/17 - 200*m/17 + 256/17.
2*(m - 32)*(m - 1)*(m + 4)/17
Factor 3*v**4 + 174*v**3 + 1491*v**2 + 2472*v + 1152.
3*(v + 1)**2*(v + 8)*(v + 48)
Factor -4*a**2 + 60*a - 200.
-4*(a - 10)*(a - 5)
Factor 4*y**2 + 8*y - 32.
4*(y - 2)*(y + 4)
Factor -2*x**2/5 + 24*x/5 + 128/5.
-2*(x - 16)*(x + 4)/5
Determine d so that -2*d**3/7 + 8*d**2/7 - 10*d/7 + 4/7 = 0.
1, 2
Solve -d**2/6 - 79*d/6 = 0.
-79, 0
Factor -4*n**2 - 36*n - 80.
-4*(n + 4)*(n + 5)
Factor a**3/3 - 4*a**2 + 41*a/3 - 14.
(a - 7)*(a - 3)*(a - 2)/3
Suppose c**3 - 33*c**2 - 69*c - 35 = 0. Calculate c.
-1, 35
Factor -2*w**2/11 - 6*w/11 + 36/11.
-2*(w - 3)*(w + 6)/11
Let -2*a**3/7 + 222*a**2/7 - 5310*a/7 + 36450/7 = 0. What is a?
15, 81
Let -192*c**5/7 - 5136*c**4/7 - 36228*c**3/7 - 25275*c**2/7 - 6162*c/7 - 507/7 = 0. What is c?
-13, -1/4
Factor 98*c**3/3 + 448*c**2/3 + 512*c/3.
2*c*(7*c + 16)**2/3
Suppose 2*c**5/9 + 4*c**4 + 122*c**3/9 - 40*c**2 + 200*c/9 = 0. What is c?
-10, 0, 1
Factor m**3/4 + 53*m**2/4 + 35*m - 125.
(m - 2)*(m + 5)*(m + 50)/4
What is d in -9*d**5/7 - 15*d**4 - 435*d**3/7 - 795*d**2/7 - 636*d/7 - 180/7 = 0?
-5, -3, -2, -1, -2/3
Factor -2*n**3/3 - 52*n**2/3 - 418*n/3 - 968/3.
-2*(n + 4)*(n + 11)**2/3
Suppose -4*c**2 - 12*c = 0. Calculate c.
-3, 0
Factor 2*x**2/5 + 362*x/5 - 364/5.
2*(x - 1)*(x + 182)/5
Factor 6*f**3/7 + 1696*f**2/7 - 566*f/7.
2*f*(f + 283)*(3*f - 1)/7
Determine i, given that -3*i**3/5 - 4032*i**2/5 - 1354752*i/5 = 0.
-672, 0
Determine u, given that -4*u**3 + 12*u + 8 = 0.
-1, 2
Factor -y**5 + 17*y**4 - 80*y**3 + 64*y**2.
-y**2*(y - 8)**2*(y - 1)
Factor -d**3/2 - 7*d**2 - 16*d + 64.
-(d - 2)*(d + 8)**2/2
Factor -3*n**4 - 45*n**3 - 162*n**2 + 324*n + 1944.
-3*(n - 3)*(n + 6)**3
Determine z so that -z**5 - 9*z**4 - 25*z**3 - 27*z**2 - 10*z = 0.
-5, -2, -1, 0
Factor -2*s**4 + 26*s**3 + 6*s**2 - 74*s - 52.
-2*(s - 13)*(s - 2)*(s + 1)**2
Factor -3*s**3 + 3*s**2 + 66*s - 120.
-3*(s - 4)*(s - 2)*(s + 5)
Let 2*p**4/9 + 14*p**3/9 - 2*p**2/9 - 14*p/9 = 0. What is p?
-7, -1, 0, 1
Suppose 4*y**2/5 - 56*y + 276/5 = 0. What is y?
1, 69
Factor 2*o**4/3 - 11*o**3/6 - o**2 + 3*o/2.
o*(o - 3)*(o + 1)*(4*o - 3)/6
Solve a**3/5 - 49*a**2/5 + 624*a/5 - 576/5 = 0.
1, 24
Determine g, given that -2*g**2/9 - 32*g/3 - 128 = 0.
-24
Factor -20*a**4 - 276*a**3 - 492*a**2 - 236*a.
-4*a*(a + 1)**2*(5*a + 59)
Let -484*m**5/5 - 1232*m**4 - 4101*m**3/5 + 1467*m**2/5 - 108*m/5 = 0. What is m?
-12, -1, 0, 3/22
Factor 2*g**3/15 - 22*g**2/15 + 76*g/15 - 16/3.
2*(g - 5)*(g - 4)*(g - 2)/15
Factor -4*p**3 - 18944*p**2.
-4*p**2*(p + 4736)
Determine s, given that 7*s**4/4 - 4835*s**3/4 + 846171*s**2/4 - 3875557*s/4 - 588245/2 = 0.
-2/7, 5, 343
Find g such that g**3 - 6*g**2 = 0.
0, 6
Find p such that -p**4 - 101*p**3 - 2697*p**2 - 7399*p - 4802 = 0.
-49, -2, -1
Factor k**3/3 - k**2/3 - 506*k/3.
k*(k - 23)*(k + 22)/3
Factor -5*c**3 + 32*c**2 - 29*c - 30.
-(c - 5)*(c - 2)*(5*c + 3)
Solve -r**3/5 + 127*r**2/5 + r/5 - 127/5 = 0 for r.
-1, 1, 127
Factor -4*s**3 + 104*s**2 - 192*s.
-4*s*(s - 24)*(s - 2)
Find n, given that 3*n**2/7 + 228*n/7 + 1065/7 = 0.
-71, -5
Factor -5*n**2 - 225*n - 220.
-5*(n + 1)*(n + 44)
Suppose 2*f**2/5 - 11456*f/5 + 16404992/5 = 0. Calculate f.
2864
Determine k, given that -312*k**3 + 1564*k**2 - 1268*k + 16 = 0.
1/78, 1, 4
Let -2*y**2/5 + 28*y + 438/5 = 0. What is y?
-3, 73
Factor -r**2/5 - 102*r/5 + 63.
-(r - 3)*(r + 105)/5
What is i in -14*i**5 - 34*i**4 + 142*i**3 + 234*i**2 + 72*i = 0?
-4, -1, -3/7, 0, 3
Let -10*y**2/7 - 298*y/7 - 556/7 = 0. Calculate y.
-139/5, -2
Solve -2*c**2 - 54*c - 252 = 0.
-21, -6
Factor -3*y**3 + 226*y**2 + 152*y.
-y*(y - 76)*(3*y + 2)
Factor 2*n**2/3 - 340*n/3 + 14450/3.
2*(n - 85)**2/3
Factor 49*g**4/4 + 14*g**3 - 111*g**2/2 + 36*g - 27/4.
(g - 1)*(g + 3)*(7*g - 3)**2/4
Factor i**2 + 16*i + 48.
(i + 4)*(i + 12)
Factor -y**3 - 109*y**2 - 108*y.
-y*(y + 1)*(y + 108)
What is k in 4*k**5 + 144*k**4 + 400*k**3 + 120*k**2 - 404*k - 264 = 0?
-33, -2, -1, 1
Factor -u**4/9 - 10*u**3/9 - 37*u**2/9 - 20*u/3 - 4.
-(u + 2)**2*(u + 3)**2/9
Factor -t**3 - 270*t**2 - 269*t.
-t*(t + 1)*(t + 269)
Suppose -a**5/5 - 3*a**4/5 + 17*a**3/5 + 27*a**2/5 - 88*a/5 + 48/5 = 0. What is a?
-4, 1, 3
Factor 2*d**2/9 + 10*d/9.
2*d*(d + 5)/9
Factor 4*u**3 - 273*u**2 - 208*u + 69.
(u - 69)*(u + 1)*(4*u - 1)
Find x such that 1132*x**5 + 4520*x**4 + 5628*x**3 + 2224*x**2 - 16*x = 0.
-2, -1, 0, 2/283
Factor -2*a**2/9 - 208*a/9 - 5408/9.
-2*(a + 52)**2/9
Determine o, given that o**2 - 3024*o + 2286144 = 0.
1512
Suppose -d**2/3 - 514*d/3 - 66049/3 = 0. What is d?
-257
Solve 2*j**2 - 634*j + 1260 = 0.
2, 315
Let 4*j**4/3 - 136*j**3/3 + 124*j**2 = 0. Calculate j.
0, 3, 31
Determine x so that 4*x**3 + 13124*x**2 + 10771520*x + 10758400 = 0.
-1640, -1
Factor -t**3/4 - 5467*t**2/4 - 7474755*t/4 - 7469289/4.
-(t + 1)*(t + 2733)**2/4
Suppose -4*h**3/3 - 8*h**2 - 16*h - 32/3 = 0. Calculate h.
-2
Let -2*n**4/3 - 10*n**3/3 + 28*n**2/3 = 0. Calculate n.
-7, 0, 2
Factor -5*v**2 + 4685*v + 14100.
-5*(v - 940)*(v + 3)
Solve 5*m**3 + 15*m**2 + 15*m + 5 = 0.
-1
Factor 5*g**3 - 225*g**2 + 210*g + 440.
5*(g - 44)*(g - 2)*(g + 1)
Factor 2*x**4 - 14*x**3 - 26*x**2 + 86*x - 48.
2*(x - 8)*(x - 1)**2*(x + 3)
Factor -24*f**2/7 - 44*f/7 + 8/7.
-4*(f + 2)*(6*f - 1)/7
Find r, given that r**3/5 + 2*r**2 + 28*r/5 + 24/5 = 0.
-6, -2
Factor a**2 + 29*a + 28.
(a + 1)*(a + 28)
Factor -32*h**4/11 - 16*h**3/11 + 6*h**2/11.
-2*h**2*(4*h - 1)*(4*h + 3)/11
Factor -2*q**5 - 94*q**4 - 956*q**3 + 3452*q**2 - 3650*q + 1250.
-2*(q - 1)**3*(q + 25)**2
Suppose 48*k**5 - 316*k**4 + 184*k**3 + 944*k**2 + 216*k - 180 = 0. What is k?
-1, -3/4, 1/3, 3, 5
Factor -t**2/3 - 58*t/3 + 40.
-(t - 2)*(t + 60)/3
Factor -4*o**4 - 14*o**3 - 14*o**2 - 4*o.
-2*o*(o + 1)*(o + 2)*(2*o + 1)
What is s in -2*s**5/9 + 14*s**4/3 - 16*s**3 + 136*s**2/9 = 0?
0, 2, 17
Factor -4*m**4 + 756*m**3 + 4*m**2 - 756*m.
-4*m*(m - 189)*(m - 1)*(m + 1)
Determine m so that -2*m**2/3 + 80*m/3 - 800/3 = 0.
20
Determine j so that -3*j**5 + 624*j**4 + 630*j**3 - 624*j**2 - 627*j = 0.
-1, 0, 1, 209
Factor 4*x**2 + 4*x - 440.
4*(x - 10)*(x + 11)
Let -3*v**2/2 + 129*v/2 = 0. Calculate v.
0, 43
Let x**2/4 - 10*x + 375/4 = 0. What is x?
15, 25
Suppose q**2/3 + 2764*q/3 + 1909924/3 = 0. What is q?
-1382
Find a such that 2*a**4/3 - 10*a**3/3 + 10*a**2/3 + 10*a/3 - 4 = 0.
-1, 1, 2, 3
Factor -4*h**2 + 28560*h - 50979600.
-4*(h - 3570)**2
Factor -b**4 + 10*b**3 + 11*b**2.
-b**2*(b - 11)*(b + 1)
Solve 3*h**2 + 105*h = 0.
-35, 0
Factor g**2 + 7*g + 6.
(g + 1)*(g + 6)
Solve x**5/2 - x**4/2 - x**3/2 + x**2/2 = 0.
-1, 0, 1
Solve -2*k**3/3 - 80*k**2 - 1378*k/3 - 380 = 0 for k.
-114, -5, -1
Factor -x**4 - 66*x**3 - 252*x**2 - 248*x.
-x*(x + 2)**2*(x + 62)
Let 3*w**2 - 2184*w = 0. What is w?
0, 728
Find z such that 3*z**2 + 276*z + 6348 = 0.
-46
Let 4*r**5 - 632*r**4/3 + 8528*r**3/3 - 5408*r**2/3 = 0. Calculate r.
0, 2/3, 26
Let -4*g**5 - 196*g**4 - 2080*g**3 + 8096*g**2 - 