*2/8 + 3*j/2 + 9/2 = 0.
-3, -2, -1, 1, 2
Factor -2*m**4 - 98*m**3 + 306*m**2 - 310*m + 104.
-2*(m - 1)**3*(m + 52)
Find z, given that 4*z**2 + 62*z/7 + 12/7 = 0.
-2, -3/14
Determine n so that 2*n**4 - 84*n**3 + 1072*n**2 - 4716*n + 3726 = 0.
1, 9, 23
Factor 3*q**4 + 6*q**3 - 9*q**2 - 12*q + 12.
3*(q - 1)**2*(q + 2)**2
Factor -4*k**4 + 200*k**3 + 224*k**2 - 1032*k + 612.
-4*(k - 51)*(k - 1)**2*(k + 3)
Solve v**2/7 + 402*v/7 + 171 = 0 for v.
-399, -3
Factor 2*z**5 - 16*z**4 + 38*z**3 - 24*z**2.
2*z**2*(z - 4)*(z - 3)*(z - 1)
Suppose 15*r**5/2 - 253*r**4/4 + 29*r**3/4 + 141*r**2 + 71*r + 8 = 0. What is r?
-1, -2/5, -1/6, 2, 8
Factor m**2/3 - 8*m.
m*(m - 24)/3
Solve o**2/2 - 59*o + 228 = 0 for o.
4, 114
Factor 2*d**3/5 + 292*d**2/5 + 11218*d/5 + 40328/5.
2*(d + 4)*(d + 71)**2/5
Solve 6*m**5 + 8*m**4 - 50*m**3 - 60*m**2 + 104*m + 112 = 0 for m.
-7/3, -2, -1, 2
Suppose 15*x**3 + 545*x**2 - 2220*x - 800 = 0. What is x?
-40, -1/3, 4
Determine v, given that 2*v**5/3 - 34*v**4/3 + 66*v**3 - 162*v**2 + 144*v = 0.
0, 3, 8
Factor g**3/3 + 5*g**2/3 - 349*g/3 + 1495/3.
(g - 13)*(g - 5)*(g + 23)/3
Suppose 5*x**4/4 - 17*x**3/2 - 7*x**2/4 + 45*x + 9 = 0. Calculate x.
-2, -1/5, 3, 6
Factor 3*s**4 + 78*s**3 + 579*s**2 + 936*s + 432.
3*(s + 1)**2*(s + 12)**2
Factor -4*c**3 + 64*c**2 + 144*c.
-4*c*(c - 18)*(c + 2)
Suppose -2*g**5/5 + 4*g**4 - 66*g**3/5 + 88*g**2/5 - 8*g = 0. Calculate g.
0, 1, 2, 5
Find k, given that 5*k**3 + 160*k**2 + 1045*k - 1210 = 0.
-22, -11, 1
Factor -2*w**2 + 28*w + 30.
-2*(w - 15)*(w + 1)
Determine a, given that 15*a**5 + 63*a**4 - 3*a**3 - 243*a**2 - 228*a - 36 = 0.
-3, -2, -1, -1/5, 2
Let q**4/5 + 13*q**3/5 + 11*q**2/5 - 13*q/5 - 12/5 = 0. What is q?
-12, -1, 1
Suppose 8*a**2/3 + 202*a/3 + 50/3 = 0. Calculate a.
-25, -1/4
Factor 18*a**2/19 + 940*a/19 + 208/19.
2*(a + 52)*(9*a + 2)/19
Factor -3*c**2/5 + 3*c/5 + 216/5.
-3*(c - 9)*(c + 8)/5
Factor -7*n**4/2 + 34*n**3 + 10*n**2.
-n**2*(n - 10)*(7*n + 2)/2
What is c in 4*c**3/3 + 36*c**2 + 440*c/3 = 0?
-22, -5, 0
Let -2*z**3/7 - 4*z**2/7 + 10*z/7 + 12/7 = 0. Calculate z.
-3, -1, 2
Let -2*s**5/5 + 6*s**4/5 - 4*s**3/5 = 0. Calculate s.
0, 1, 2
Solve 2*a**4/5 + 5*a**3 + 87*a**2/5 + 18*a = 0.
-15/2, -3, -2, 0
Solve i**2/5 + 47*i/5 - 204/5 = 0.
-51, 4
Let -5*h**4 - 235*h**3 + 290*h**2 + 2440*h + 1920 = 0. What is h?
-48, -2, -1, 4
Factor 2*s**3 + 66*s**2 + 526*s + 462.
2*(s + 1)*(s + 11)*(s + 21)
Factor 25*m**3/3 + 290*m**2/3 + 841*m/3.
m*(5*m + 29)**2/3
What is z in 2*z**3 - 94*z**2 - 8*z + 376 = 0?
-2, 2, 47
Find z, given that -28*z**5 - 3604*z**4 - 120740*z**3 - 305660*z**2 - 124992*z + 63504 = 0.
-63, -2, -1, 2/7
Find k such that -k**2/3 + 458*k/3 - 457/3 = 0.
1, 457
What is a in 5*a**2 + 2160*a + 233280 = 0?
-216
Let -2*h**4/13 + 14*h**3/13 + 112*h**2/13 - 264*h/13 = 0. Calculate h.
-6, 0, 2, 11
Let -16*i**4 - 100*i**3 - 168*i**2 - 100*i - 16 = 0. What is i?
-4, -1, -1/4
Solve -24*o**3 + 2*o**2/3 = 0.
0, 1/36
Suppose -j**2/2 - 191*j/2 + 390 = 0. What is j?
-195, 4
What is d in -8*d**5 - 76*d**4 - 160*d**3 + 328*d**2 + 1320*d + 900 = 0?
-5, -3, -1, 5/2
Factor -3*r**5 - 3*r**4 + 3*r**3 + 3*r**2.
-3*r**2*(r - 1)*(r + 1)**2
Determine p, given that p**5/9 - p**4/9 - 3*p**3 - 23*p**2/9 + 26*p/9 + 8/3 = 0.
-4, -1, 1, 6
Factor 4*r**3 - 8*r**2 - 32*r.
4*r*(r - 4)*(r + 2)
Factor -80*t**2/3 + t/4.
-t*(320*t - 3)/12
Factor -2*h**2 + 60*h + 62.
-2*(h - 31)*(h + 1)
Suppose -3*t**2/7 + 3042*t/7 - 771147/7 = 0. What is t?
507
Factor 2*r**5 + 12*r**4 - 36*r**3 - 432*r**2 - 1134*r - 972.
2*(r - 6)*(r + 3)**4
Solve -15*k**5 + 35*k**4 + 110*k**3 - 40*k**2 = 0.
-2, 0, 1/3, 4
Factor -2*u**3/15 - 16*u**2/5 - 96*u/5.
-2*u*(u + 12)**2/15
Factor 3*o**2 - 7608*o + 4823472.
3*(o - 1268)**2
Determine x so that -2*x**4 + 34*x**3 - 156*x**2 + 280*x - 176 = 0.
2, 11
Let 4*i**4 + 308*i**3 - 948*i**2 + 956*i - 320 = 0. Calculate i.
-80, 1
Factor 28*x**2/3 + 496*x/3 - 48.
4*(x + 18)*(7*x - 2)/3
Solve -x**3/2 - 5*x**2 - 21*x/2 = 0.
-7, -3, 0
What is s in -11*s**2/6 - 47*s/3 - 8 = 0?
-8, -6/11
Let 2*w**4/5 + 4*w**3 - 46*w**2/5 + 24*w/5 = 0. What is w?
-12, 0, 1
Let 2*m**2 - 78*m + 280 = 0. What is m?
4, 35
Factor -2*x**3/7 - 52*x**2/7 + 8*x/7 + 208/7.
-2*(x - 2)*(x + 2)*(x + 26)/7
Factor 128*o**4/5 - 14496*o**3/5 + 404946*o**2/5 + 309852*o/5 + 58482/5.
2*(o - 57)**2*(8*o + 3)**2/5
Factor 5*b**2 + 90*b.
5*b*(b + 18)
Solve -2*r**4/7 + 120*r**3/7 + 2*r**2/7 - 120*r/7 = 0.
-1, 0, 1, 60
Factor -25*m**2 + 190*m - 165.
-5*(m - 1)*(5*m - 33)
Factor -2*h**2/7 + 944*h/7 - 111392/7.
-2*(h - 236)**2/7
Factor 2*j**2/3 - 34*j/3 + 20.
2*(j - 15)*(j - 2)/3
Suppose -22*m**5/7 - 48*m**4/7 - 8*m**3/7 = 0. What is m?
-2, -2/11, 0
Factor 25*d**2 - 510*d + 200.
5*(d - 20)*(5*d - 2)
Factor 6*z**4/5 + 18*z**3/5 + 12*z**2/5.
6*z**2*(z + 1)*(z + 2)/5
Solve 2*k**2 - 8*k = 0 for k.
0, 4
Suppose 8*p**3/3 + 26*p**2 - 36*p + 22/3 = 0. Calculate p.
-11, 1/4, 1
Factor o**3 + 29*o**2 - 305*o - 333.
(o - 9)*(o + 1)*(o + 37)
Find q such that -q**5/2 - 5*q**4/2 + 105*q**3/2 + 5*q**2/2 - 52*q = 0.
-13, -1, 0, 1, 8
Determine h so that -3*h**2 - 483*h + 486 = 0.
-162, 1
Factor -4*i**4 - 26*i**3 - 54*i**2 - 36*i.
-2*i*(i + 2)*(i + 3)*(2*i + 3)
Factor 15*q**3 - 27*q**2 + 12*q.
3*q*(q - 1)*(5*q - 4)
Let -3*q**3 - 996*q**2 + 999*q = 0. Calculate q.
-333, 0, 1
Factor 2*t**2/15 - 4*t/15 - 2.
2*(t - 5)*(t + 3)/15
Let 6*n**4 - 442*n**3 + 4072*n**2 - 2520*n = 0. Calculate n.
0, 2/3, 10, 63
Factor -2*q**4/5 + 122*q**3/5 + 50*q**2 + 126*q/5.
-2*q*(q - 63)*(q + 1)**2/5
Solve 2*z**3/5 + 132*z**2/5 + 408*z - 4624/5 = 0.
-34, 2
Factor o**4 + 9*o**3 - o**2 - 9*o.
o*(o - 1)*(o + 1)*(o + 9)
Factor -5*h**2/3 - 37*h/3 + 14.
-(h - 1)*(5*h + 42)/3
Solve 12*x**5 - 472*x**4 + 5136*x**3 - 10264*x**2 + 6948*x - 1360 = 0 for x.
1/3, 1, 17, 20
Determine n, given that 2*n**3/3 + 16*n**2/3 - 224*n/3 + 512/3 = 0.
-16, 4
Let -3*l**5 + 144*l**4 - 1092*l**3 + 1386*l**2 + 5415*l - 5850 = 0. Calculate l.
-2, 1, 5, 39
Factor 36*p**3 - 816*p**2/5 - 604*p/5 - 104/5.
4*(3*p + 1)**2*(5*p - 26)/5
Factor h**3/4 + 69*h**2/4 - 55*h - 72.
(h - 4)*(h + 1)*(h + 72)/4
Factor 2*g**2 + 24*g + 40.
2*(g + 2)*(g + 10)
Factor -2*o**4 + 72*o**3 - 572*o**2 - 1368*o - 722.
-2*(o - 19)**2*(o + 1)**2
Factor 3*w**2/4 - 105*w/4 - 27.
3*(w - 36)*(w + 1)/4
Find d, given that 2*d**3/13 + 80*d**2/13 = 0.
-40, 0
Factor -y**4 - 26*y**3 - 177*y**2 - 424*y - 272.
-(y + 1)*(y + 4)**2*(y + 17)
Factor -28*z**2/5 + 26*z/5 + 2/5.
-2*(z - 1)*(14*z + 1)/5
Factor 5*l**3/4 + 65*l**2/4 + 195*l/4 + 135/4.
5*(l + 1)*(l + 3)*(l + 9)/4
Find c such that -c**3/9 + 13*c**2/9 - 16*c/9 - 64/3 = 0.
-3, 8
Factor -g**4/3 + 50*g**3/3 - 97*g**2/3 + 16*g.
-g*(g - 48)*(g - 1)**2/3
Factor -a**2 - 9728*a - 23658496.
-(a + 4864)**2
Factor -2*b**3/7 + 416*b**2/7 - 118*b + 412/7.
-2*(b - 206)*(b - 1)**2/7
Suppose 2*k**3 + 344*k**2 = 0. Calculate k.
-172, 0
Let -3*s**3 - 30*s**2 + 300*s + 3000 = 0. Calculate s.
-10, 10
Factor -h**3 + 127*h**2 + 2224*h + 9152.
-(h - 143)*(h + 8)**2
Determine g, given that -g**4/3 + 46*g**3/3 - 143*g**2 - 2300*g/3 - 2500/3 = 0.
-2, 25
Factor -2*i**2/9 - 832*i/9 + 1688/3.
-2*(i - 6)*(i + 422)/9
Solve -2*x**3 + 22*x**2 - 76*x + 80 = 0 for x.
2, 4, 5
Factor 12*j**2/5 - 886*j/5 - 148/5.
2*(j - 74)*(6*j + 1)/5
Find h such that -5*h**3 - 40*h**2 + 45*h = 0.
-9, 0, 1
Determine u, given that 5*u**2 - 715*u - 3700 = 0.
-5, 148
Factor -2*b**2/7 - 16*b/7 - 32/7.
-2*(b + 4)**2/7
Let 2*v**5/11 - 28*v**4/11 + 96*v**3/11 - 4*v**2 - 98*v/11 + 72/11 = 0. What is v?
-1, 1, 4, 9
Factor v**3/6 - v**2 + 11*v/6 - 1.
(v - 3)*(v - 2)*(v - 1)/6
Factor -g**3/2 - 18*g**2 + 345*g/2 - 154.
-(g - 7)*(g - 1)*(g + 44)/2
Determine b, given that b**2 + 25*b + 66 = 0.
-22, -3
Factor 2*i**3/9 + 136*i**2/9 - 568*i/9 + 64.
2*(i - 2)**2*(i + 72)/9
Determine t, given that -5*t**3 - 30*t**2 + 255*t - 220 = 0.
-11, 1, 4
Solve 2*p**3 + 8*p**2 - 90*p = 0.
-9, 0, 5
Find c such that 5*c**2 + 90*c - 315 = 0.
-21, 3
Factor -5*d**2 + 430*d - 840.
-5*(d - 84)*(d - 2)
Find b such that b**4/8 + 11*b**3/4 + 111*b**2/8 - 11*b/4 - 14 = 0.
-14, -8, -1, 1
Suppose 17*d**5/4 + 185*d**4/4 + 193*d**3/2 - 165*d**2 + 18*d = 0. What is d?
-6, 0, 2/17, 1
Factor 4*y**4/3 + 3*y**3 - 10*y**2 - 8*y/3.
y*(y - 2)*(y + 4)*(4*y + 1)/3
Determine w, given that -68*w**2/19 - 538*w/19 + 48/19 = 0.
-8, 3/34
