 -1/5, 0
Factor 5*x**5/6 + 155*x**4/6 + 585*x**3/2 + 2835*x**2/2 + 2430*x.
5*x*(x + 4)*(x + 9)**3/6
Determine a so that 140*a**5 + 215*a**4 - 37995*a**3 - 20390*a**2 - 2720*a = 0.
-17, -2/7, -1/4, 0, 16
Factor -3*m**3 + 72*m**2 - 69*m.
-3*m*(m - 23)*(m - 1)
Suppose -3*x**5 + 78*x**3 - 75*x = 0. What is x?
-5, -1, 0, 1, 5
Solve n**2/3 + 88*n/3 + 172/3 = 0 for n.
-86, -2
Factor q**3 - 17*q**2 - 80*q - 84.
(q - 21)*(q + 2)**2
Factor 2*b**5/5 - 24*b**4/5 + 96*b**3/5 - 128*b**2/5.
2*b**2*(b - 4)**3/5
Factor -w**3 + 23*w**2 - 146*w + 208.
-(w - 13)*(w - 8)*(w - 2)
Factor -14*a**2/19 + 556*a/19 + 160/19.
-2*(a - 40)*(7*a + 2)/19
Factor 3*m**4 - 885*m**3 - 1779*m**2 - 891*m.
3*m*(m - 297)*(m + 1)**2
Suppose -4*z**5/7 + 52*z**4/7 + 64*z**3/7 - 16*z**2 = 0. What is z?
-2, 0, 1, 14
What is p in p**4/2 + 27*p**3/2 + 21*p**2/2 - 127*p/2 + 39 = 0?
-26, -3, 1
Solve 18*y**5 - 644*y**4 + 486*y**3 + 140*y**2 = 0.
-2/9, 0, 1, 35
What is f in 2*f**2/11 - 74*f/11 = 0?
0, 37
Suppose 3*d**2 - 117*d - 1128 = 0. What is d?
-8, 47
Determine p so that -p**2/3 + 13*p/3 - 4 = 0.
1, 12
Solve -4*o**3 - 6*o**2 - 2*o = 0 for o.
-1, -1/2, 0
Determine h so that 19*h**2 + 3593*h/3 + 42 = 0.
-63, -2/57
Let -3*t**5/8 - 3*t**4/4 + 51*t**3/8 - 3*t**2/4 - 39*t/2 + 15 = 0. Calculate t.
-5, -2, 1, 2
Find h such that -2*h**3 + 122*h**2 - 678*h + 990 = 0.
3, 55
Suppose -20*m**5 + 108*m**4 - 180*m**3 + 116*m**2 - 24*m = 0. What is m?
0, 2/5, 1, 3
Determine z so that -z**2/4 + 52*z - 207/4 = 0.
1, 207
Determine a so that 4*a**5 + 4*a**4 - 20*a**3 + 12*a**2 = 0.
-3, 0, 1
Factor 4*v**5 + 2940*v**4 + 544620*v**3 + 1616260*v**2 + 1610400*v + 535824.
4*(v + 1)**3*(v + 366)**2
Suppose t**5 + 78*t**4 + 1520*t**3 - 78*t**2 - 1521*t = 0. What is t?
-39, -1, 0, 1
Factor -4*l**3 - 2*l**2 + 16*l + 8.
-2*(l - 2)*(l + 2)*(2*l + 1)
Factor -s**2 + 87*s + 658.
-(s - 94)*(s + 7)
Factor 2*u**2/11 + 46*u/11 - 48/11.
2*(u - 1)*(u + 24)/11
Determine t, given that 98*t**5/13 + 154*t**4/13 + 64*t**3/13 + 8*t**2/13 = 0.
-1, -2/7, 0
Determine v, given that 10*v**5/9 - 8*v**4/3 - 22*v**3/9 + 52*v**2/9 + 8*v/3 - 16/9 = 0.
-1, 2/5, 2
Factor -5*b**3 - 240*b**2 - 3025*b - 5130.
-5*(b + 2)*(b + 19)*(b + 27)
Factor -2*o**4/7 + 11*o**3/7 + 20*o**2/7 + o.
-o*(o - 7)*(o + 1)*(2*o + 1)/7
Let f**4/10 + 6*f**3/5 - 7*f**2/5 - 6*f/5 + 13/10 = 0. Calculate f.
-13, -1, 1
Determine u, given that 2*u**4 + 2*u**3 - 6*u**2 - 10*u - 4 = 0.
-1, 2
Solve 3*n**3/7 + 108*n**2/7 - 117*n/7 - 222/7 = 0.
-37, -1, 2
Determine h, given that -4*h**2 + 30896*h - 59660176 = 0.
3862
What is o in 4*o**4 + 16*o**3 - 12*o**2 - 40*o + 32 = 0?
-4, -2, 1
Factor -50*m**3/3 + 20*m**2/3 + 2*m.
-2*m*(5*m - 3)*(5*m + 1)/3
Factor -y**3 + 9*y**2 + 454*y + 864.
-(y - 27)*(y + 2)*(y + 16)
Factor -g**2/10 - 11*g/10 - 3.
-(g + 5)*(g + 6)/10
Factor -2*j**3/3 + 58*j**2 + 118*j + 178/3.
-2*(j - 89)*(j + 1)**2/3
Solve -5*q**5/3 - 155*q**4/3 - 415*q**3 - 75*q**2 + 2250*q = 0.
-15, -3, 0, 2
Factor 3*g**3/7 - 1317*g**2/7 - 1320*g/7.
3*g*(g - 440)*(g + 1)/7
Suppose 4*n**2 + 188*n + 1848 = 0. Calculate n.
-33, -14
Factor 49*u**3 - 224*u**2 + 116*u - 16.
(u - 4)*(7*u - 2)**2
Suppose -3*m**3 - 24*m**2 + 279*m - 540 = 0. What is m?
-15, 3, 4
Factor 3*i**3/5 + 225*i**2 - 6831*i/5 + 10287/5.
3*(i - 3)**2*(i + 381)/5
Find l such that -4*l**4 - 92*l**3 - 164*l**2 + 92*l + 168 = 0.
-21, -2, -1, 1
Find j such that j**4/7 + 12*j**3/7 - 43*j**2/7 + 30*j/7 = 0.
-15, 0, 1, 2
Factor 5*c**4/4 - 70*c**3 - 575*c**2/4 - 145*c/2.
5*c*(c - 58)*(c + 1)**2/4
Determine y, given that -18*y**4/5 + 132*y**3/5 - 198*y**2/5 - 108*y/5 + 48 = 0.
-1, 4/3, 2, 5
Determine t so that -3*t**3/2 + 99*t**2 + 201*t/2 = 0.
-1, 0, 67
Suppose 3*y**3/4 + 21*y**2/4 - 6*y = 0. What is y?
-8, 0, 1
Suppose 3*h**3/2 - 30*h**2 - 3*h/2 + 30 = 0. What is h?
-1, 1, 20
Factor y**4/8 - 333*y**3/4 + 110889*y**2/8.
y**2*(y - 333)**2/8
Factor -2*s**2/11 + 122*s/11 - 120/11.
-2*(s - 60)*(s - 1)/11
Let 2*t**4/3 + 70*t**3/3 - 1274*t**2/3 + 4802*t/3 = 0. Calculate t.
-49, 0, 7
Suppose -m**4 - 169*m**3 + 170*m**2 = 0. Calculate m.
-170, 0, 1
Determine i so that -148*i**5/7 - 292*i**4/7 - 144*i**3/7 = 0.
-1, -36/37, 0
Factor -5*x**3 - 385*x**2 - 1475*x - 1095.
-5*(x + 1)*(x + 3)*(x + 73)
Factor 2*d**2 + 23532*d + 69219378.
2*(d + 5883)**2
Solve 882*a**4 + 336*a**3 - 850*a**2 - 336*a - 32 = 0 for a.
-1, -4/21, 1
Determine n so that 13*n**5/5 - 3*n**4/5 - 52*n**3/5 + 12*n**2/5 = 0.
-2, 0, 3/13, 2
Factor -10*l**2 - 68*l - 58.
-2*(l + 1)*(5*l + 29)
Factor -b**2/7 - 16*b/7 - 15/7.
-(b + 1)*(b + 15)/7
Determine f so that -f**3 + 3372*f**2 - 2842596*f = 0.
0, 1686
Factor -25*m**3 + 290*m**2 - 800*m + 640.
-5*(m - 8)*(m - 2)*(5*m - 8)
Factor -2*i**5 - 2*i**4 + 10*i**3 + 2*i**2 - 16*i + 8.
-2*(i - 1)**3*(i + 2)**2
Solve -237*n**2 - 234*n + 3 = 0.
-1, 1/79
Factor -7*h**4 + 24*h**3 + 128*h**2 - 384*h - 256.
-(h - 4)**2*(h + 4)*(7*h + 4)
Factor 5*y**4 - 17*y**3 + 6*y**2.
y**2*(y - 3)*(5*y - 2)
Determine z so that 2*z**2 - 30*z = 0.
0, 15
Factor -35*c**3 - 255*c**2 - 420*c - 100.
-5*(c + 2)*(c + 5)*(7*c + 2)
Determine z, given that 4*z**3 - 2052*z**2 + 2048*z = 0.
0, 1, 512
Factor 4*i**3/5 - 28*i**2/5 - 112*i/5 - 16.
4*(i - 10)*(i + 1)*(i + 2)/5
Factor -l**2/2 + 903*l - 815409/2.
-(l - 903)**2/2
Find k such that 2*k**4 - 26*k**3 + 110*k**2 - 150*k = 0.
0, 3, 5
Factor s**2/3 - 364*s/3.
s*(s - 364)/3
Factor 3*a**3 - 3*a**2 - 12*a + 12.
3*(a - 2)*(a - 1)*(a + 2)
Let 5*r**2 - 100*r - 105 = 0. Calculate r.
-1, 21
Factor -k**2/3 + 75*k - 446/3.
-(k - 223)*(k - 2)/3
Factor -2*s**3 + 2162*s**2.
-2*s**2*(s - 1081)
Solve 2*v**4 - 216*v**3 + 1242*v**2 - 1844*v + 816 = 0.
1, 4, 102
Factor 5*o**2/2 + 265*o/2 + 490.
5*(o + 4)*(o + 49)/2
Determine y so that -2*y**5/7 - 72*y**4/7 + 14*y**3 + 832*y**2/7 - 2040*y/7 + 1184/7 = 0.
-37, -4, 1, 2
Solve -3*y**4 + 372*y**3 - 11898*y**2 + 22692*y - 11163 = 0 for y.
1, 61
Factor 5*h**3 + 50*h**2 + 45*h.
5*h*(h + 1)*(h + 9)
Factor l**4/9 + l**3 + 10*l**2/3 + 44*l/9 + 8/3.
(l + 2)**3*(l + 3)/9
Factor -32*v**3/5 - 204*v**2 - 8064*v/5 + 1024/5.
-4*(v + 16)**2*(8*v - 1)/5
Factor r**3/6 + 3*r**2/2 + 10*r/3.
r*(r + 4)*(r + 5)/6
Find q, given that -6*q**4 + 58*q**3 + 146*q**2 - 58*q - 140 = 0.
-2, -1, 1, 35/3
Solve -3*w**2 - 351*w - 348 = 0 for w.
-116, -1
Suppose -3*x**2 - 36*x = 0. Calculate x.
-12, 0
Solve 3*t**4 - 6*t**3 - 27*t**2 + 6*t + 24 = 0.
-2, -1, 1, 4
Factor 36*q**3 - 296*q**2 + 316*q - 56.
4*(q - 7)*(q - 1)*(9*q - 2)
Suppose 3*k**4/2 + 717*k**3/2 + 41745*k**2/2 - 131769*k/2 = 0. What is k?
-121, 0, 3
Let -5*o**2/3 + 535*o/3 - 520 = 0. What is o?
3, 104
Factor -n**4/6 + 37*n**3/6 - 17*n**2.
-n**2*(n - 34)*(n - 3)/6
Let 4*x**5 + 84*x**4 + 284*x**3 + 204*x**2 = 0. What is x?
-17, -3, -1, 0
Factor -726*d**3 + 8800*d**2 - 3176*d/3 + 32.
-2*(d - 12)*(33*d - 2)**2/3
Find j, given that 4*j**5 + 22*j**4 + 38*j**3 + 26*j**2 + 6*j = 0.
-3, -1, -1/2, 0
Factor 5*z**2 + 65*z + 110.
5*(z + 2)*(z + 11)
Suppose 2*h**4/15 - 2*h**2/3 + 8/15 = 0. Calculate h.
-2, -1, 1, 2
Let -18*l**3/5 + 87*l**2 - 864*l/5 + 132/5 = 0. Calculate l.
1/6, 2, 22
Factor -3*h**4 + 144*h**3 + 633*h**2 - 414*h - 2808.
-3*(h - 52)*(h - 2)*(h + 3)**2
Factor 4*i**4/3 + 44*i**3/3 + 48*i**2 + 64*i/3 - 256/3.
4*(i - 1)*(i + 4)**3/3
Let u**4/4 + 22*u**3 + 42*u**2 - 88*u - 172 = 0. What is u?
-86, -2, 2
Let 3*i**3 - 36*i**2 + 105*i = 0. Calculate i.
0, 5, 7
Factor 5*l**3 - 70*l**2 - 11155*l - 158700.
5*(l - 60)*(l + 23)**2
Let 2*v**2/5 - 16*v/5 + 32/5 = 0. What is v?
4
Suppose -o**5 + 4*o**4 + 21*o**3 + 4*o**2 - 28*o = 0. What is o?
-2, 0, 1, 7
Factor 3*b**3 - 12*b**2 - 3*b + 12.
3*(b - 4)*(b - 1)*(b + 1)
Factor 2*v**5 - 6*v**4 - 2*v**3 + 22*v**2 - 24*v + 8.
2*(v - 2)*(v - 1)**3*(v + 2)
Factor 5*c**4 - 120*c**3 + 330*c**2 - 320*c + 105.
5*(c - 21)*(c - 1)**3
Determine h, given that 4*h**4 + 4*h**3 - 24*h**2 - 16*h + 32 = 0.
-2, 1, 2
Factor -2*z**4/5 + 1248*z**3/5 + 2502*z**2/5 + 1252*z/5.
-2*z*(z - 626)*(z + 1)**2/5
Factor -s**2/11 + 7*s/11 + 30/11.
-(s - 10)*(s + 3)/11
Factor -h**3 - 12*h**2 - 48*h - 64.
-(h + 4)**3
Factor f**2/3 + 5*f + 14/3.
(f + 1)*(f + 14)/3
Factor -15*r**3 - 357*r**2 + 84*r + 288.
-3*(r - 1)*(r + 24)*(5*r + 4)
Solve 2*q**3/9 - 296*q**2/9 + 10952*q/9 = 0 for q.
0, 74
Solve s**4/10 + 11*s**3/5 + 46*s**2/5 - 28*s = 0.
-14, -10, 0, 2
What is o in o*