r -i**2/3 + 2780*i/3 - 2779/3.
-(i - 2779)*(i - 1)/3
Suppose -2*a**3 + 1236*a**2 - 193410*a + 753992 = 0. Calculate a.
4, 307
Suppose 2*v**5/3 - 10*v**4/3 - 44*v**3/3 - 32*v**2/3 = 0. Calculate v.
-2, -1, 0, 8
Factor -5*o**4 - 175*o**3 - 1760*o**2 - 3840*o.
-5*o*(o + 3)*(o + 16)**2
Find l such that 2*l**4 - 4*l**3 - 56*l**2 - 92*l - 42 = 0.
-3, -1, 7
Factor 2*i**4 - 314*i**3 + 928*i**2 - 616*i.
2*i*(i - 154)*(i - 2)*(i - 1)
Find l, given that 5*l**2 - 550*l + 545 = 0.
1, 109
Factor o**3 + 8*o**2 - o - 8.
(o - 1)*(o + 1)*(o + 8)
Determine o so that -4*o**5/5 - 36*o**4/5 + 132*o**3/5 - 28*o**2 + 48*o/5 = 0.
-12, 0, 1
Solve x**2/4 + 21*x/2 + 441/4 = 0.
-21
Solve 5*u**3 + 935*u**2 + 920*u - 1860 = 0.
-186, -2, 1
Solve 3*u**3 - 1644*u**2 + 1641*u = 0 for u.
0, 1, 547
Factor 4*s**3 - 9824*s**2 + 19636*s - 9816.
4*(s - 2454)*(s - 1)**2
Let -4*i**2 - 32*i - 48 = 0. Calculate i.
-6, -2
Factor -3*w**3/4 + 81*w**2/4 - 126*w + 228.
-3*(w - 19)*(w - 4)**2/4
Factor -2*u**5 - 27*u**4 + 77*u**3 - 49*u**2 - 15*u + 16.
-(u - 1)**3*(u + 16)*(2*u + 1)
Solve 13*g**5/2 - g**4 = 0.
0, 2/13
Factor -5*t**2 + 845*t - 840.
-5*(t - 168)*(t - 1)
Find p, given that -2*p**3 - 694*p**2 + 2*p + 694 = 0.
-347, -1, 1
Determine j so that 2*j**2/15 + 382*j/15 - 128/5 = 0.
-192, 1
Let t**5/5 - 8*t**4/5 + 3*t**3 + 4*t**2/5 - 4*t = 0. What is t?
-1, 0, 2, 5
Factor q**2/5 - 17*q/5 + 66/5.
(q - 11)*(q - 6)/5
Determine u, given that 2*u**4/15 - 26*u**3/3 + 196*u**2/5 + 48*u = 0.
-1, 0, 6, 60
Suppose m**5 + 9*m**4 - 90*m**3 - 500*m**2 + 3000*m = 0. Calculate m.
-10, 0, 5, 6
Factor -2*w**2/7 + 3592*w/7 - 1612808/7.
-2*(w - 898)**2/7
Suppose 9*z**5 + 228*z**4/5 + 324*z**3/5 + 126*z**2/5 - 33*z/5 - 18/5 = 0. Calculate z.
-3, -1, -2/5, 1/3
Let -2*r**2/11 - 20*r/11 + 78/11 = 0. Calculate r.
-13, 3
Find m, given that -16*m**5 + 1304*m**4 - 38724*m**3 + 485698*m**2 - 1966010*m - 2491752 = 0.
-1, 12, 47/2
Factor 1005*q**3 + 6036*q**2 - 6999*q - 42.
3*(q - 1)*(q + 7)*(335*q + 2)
Solve 2*n**3/3 - 90*n**2 + 4050*n - 60750 = 0.
45
Solve -4*z**5/9 + 4*z**3 - 16*z**2/9 - 16*z/3 = 0.
-3, -1, 0, 2
Solve 5*d**3 - 45*d**2 - 105*d + 1225 = 0.
-5, 7
Factor -3*d**3 + 24*d**2 + 3*d - 24.
-3*(d - 8)*(d - 1)*(d + 1)
What is h in -3*h**2/7 - 6876*h/7 - 3939948/7 = 0?
-1146
Factor h**4/11 + 52*h**3/11 - 1436*h**2/11 - 4992*h + 101376.
(h - 22)**2*(h + 48)**2/11
Factor -z**4/2 + 263*z**3/2 - 8580*z**2 - 8712*z.
-z*(z - 132)**2*(z + 1)/2
Let -5*m**5 + 5*m**4 + 105*m**3 + 235*m**2 + 200*m + 60 = 0. What is m?
-2, -1, 6
Let -c**5/3 - 4*c**4/3 + 12*c**3 - 74*c**2/3 + 61*c/3 - 6 = 0. What is c?
-9, 1, 2
Factor 2*s**4 - 18*s**3 + 34*s**2 + 66*s - 180.
2*(s - 5)*(s - 3)**2*(s + 2)
Factor -2*p**5/5 + 6*p**4/5 - 6*p**3/5 + 2*p**2/5.
-2*p**2*(p - 1)**3/5
Factor 4*z**3 - 232*z**2 - 236*z.
4*z*(z - 59)*(z + 1)
Find c such that c**4/2 - 4124*c**3 + 12755532*c**2 - 17534604656*c + 9039088700168 = 0.
2062
Solve 3*n**2 - 17*n/2 + 11/2 = 0 for n.
1, 11/6
Factor 5*r**2 + 1830*r + 3640.
5*(r + 2)*(r + 364)
Solve 2*u**5/5 + 14*u**4 + 38*u**3 - 14*u**2 - 192*u/5 = 0 for u.
-32, -3, -1, 0, 1
Solve -169*h**5 + 728*h**4 - 719*h**3 + 172*h**2 - 12*h = 0 for h.
0, 2/13, 1, 3
Factor -5*k**3 + 600*k**2 - 18000*k.
-5*k*(k - 60)**2
Determine f so that 2*f**2 + 4*f + 2 = 0.
-1
Factor 3*l**3 + 183*l**2.
3*l**2*(l + 61)
Factor -9*m**2/2 - 116*m + 26.
-(m + 26)*(9*m - 2)/2
Determine j, given that -2*j**3 - 250*j**2 - 494*j - 246 = 0.
-123, -1
Determine t, given that -2*t**4/7 + 8*t**3/7 + 8*t**2/7 - 32*t/7 = 0.
-2, 0, 2, 4
Find h such that -5*h**4 + 410*h**3 + 1265*h**2 + 850*h = 0.
-2, -1, 0, 85
Factor 3*t**2/4 - 21*t - 153.
3*(t - 34)*(t + 6)/4
Determine f, given that 4*f**5 + 32*f**4 - 96*f**3 - 152*f**2 + 92*f + 120 = 0.
-10, -1, 1, 3
Factor -3*l**2 - 30*l - 48.
-3*(l + 2)*(l + 8)
What is t in t**4/7 + 506*t**3/7 + 64513*t**2/7 + 18216*t + 9072 = 0?
-252, -1
Solve -2*l**2/5 - 38*l/5 + 132/5 = 0 for l.
-22, 3
Factor 102*l**2/7 - 2*l/7.
2*l*(51*l - 1)/7
Factor o**2 + 16*o - 36.
(o - 2)*(o + 18)
What is s in -5*s**2 + 400*s - 8000 = 0?
40
Factor -2*x**3/13 + 304*x**2/13 - 302*x/13.
-2*x*(x - 151)*(x - 1)/13
Factor 6*i**5 - 213*i**4 + 2484*i**3 - 9072*i**2 - 5184*i.
3*i*(i - 12)**3*(2*i + 1)
Let -4*c**4 - 8*c**3 + 52*c**2 + 152*c + 96 = 0. What is c?
-3, -2, -1, 4
Find a, given that 4*a**2 + 184*a + 2116 = 0.
-23
Suppose -10*w**4/11 - 164*w**3/11 - 54*w**2/11 + 164*w/11 + 64/11 = 0. Calculate w.
-16, -1, -2/5, 1
Determine z so that 100*z**5 - 980*z**4 - 2484*z**3 - 1836*z**2 - 432*z = 0.
-1, -3/5, 0, 12
Find h such that -2*h**2/5 - 28*h/5 = 0.
-14, 0
Factor -5*k**5 + 135*k**4 - 840*k**3 - 980*k**2.
-5*k**2*(k - 14)**2*(k + 1)
Find w, given that -3*w**4 + 9*w**3 - 9*w**2 + 3*w = 0.
0, 1
Solve -3*p**3/7 - 3306*p**2/7 = 0 for p.
-1102, 0
Solve h**5/4 - 99*h**4/4 - 201*h**3/4 - 101*h**2/4 = 0.
-1, 0, 101
Factor -2*h**3/13 - 20*h**2/13 - 46*h/13 - 28/13.
-2*(h + 1)*(h + 2)*(h + 7)/13
Solve 2*x**3/7 - 64*x**2/7 - 446*x/7 - 380/7 = 0 for x.
-5, -1, 38
Factor -h**2/6 - 21*h + 128/3.
-(h - 2)*(h + 128)/6
Suppose -10*d**5/9 - 14*d**4/9 - 4*d**3/9 = 0. What is d?
-1, -2/5, 0
Factor -8*g**4 - 12*g**3 + 8*g**2.
-4*g**2*(g + 2)*(2*g - 1)
Factor -2*o**4 + 13*o**3 + 74*o**2 + 101*o + 42.
-(o + 1)**2*(o + 2)*(2*o - 21)
Find l, given that 4*l**5 - 40*l**4 + 84*l**3 + 112*l**2 - 208*l - 192 = 0.
-1, 2, 4, 6
Determine o so that -o**3/3 - 35*o**2/3 - 392*o/3 - 1372/3 = 0.
-14, -7
Factor 2*s**2 + 70*s + 68.
2*(s + 1)*(s + 34)
Factor -2*x**2/9 - 3392*x/9 - 1438208/9.
-2*(x + 848)**2/9
What is k in 783*k**3/2 + 780*k**2 + 771*k/2 - 3 = 0?
-1, 2/261
Factor 2*a**4 + 3*a**3 - 29*a**2 + 30*a.
a*(a - 2)*(a + 5)*(2*a - 3)
Factor 10*z**2 - 96*z - 936.
2*(z + 6)*(5*z - 78)
Let 70*y**5 + 2176*y**4 - 2058*y**3 - 316*y**2 + 128*y = 0. Calculate y.
-32, -2/7, 0, 1/5, 1
Factor 2*r**4 - 58*r**3 + 386*r**2 + 570*r - 900.
2*(r - 15)**2*(r - 1)*(r + 2)
Determine c, given that -44*c**5/3 - 68*c**4/3 - 8*c**3 = 0.
-1, -6/11, 0
Solve -196*p**3 + 972*p**2 - 1136*p - 48 = 0.
-2/49, 2, 3
Determine f so that 3*f**5 + 462*f**4 + 27588*f**3 + 798600*f**2 + 11244288*f + 61843584 = 0.
-44, -22
What is t in -3*t**3 - 58*t**2 - 152*t + 128 = 0?
-16, -4, 2/3
Factor -x**5 - 9*x**4 - 14*x**3 + 2*x**2 + 15*x + 7.
-(x - 1)*(x + 1)**3*(x + 7)
Factor 5*b**4 - 195*b**3 + 2385*b**2 - 7085*b - 25350.
5*(b - 15)*(b - 13)**2*(b + 2)
Factor -4*k**4 - 340*k**3 + 696*k**2.
-4*k**2*(k - 2)*(k + 87)
Factor -q**4/4 + 1013*q**3/2 - 1028193*q**2/4 + 512578*q - 256036.
-(q - 1012)**2*(q - 1)**2/4
Solve v**5 - 19*v**4 + 90*v**3 - 72*v**2 = 0 for v.
0, 1, 6, 12
Find t, given that -3*t**4 - 3*t**3 + 21*t**2 + 39*t + 18 = 0.
-2, -1, 3
Suppose -2*c**5/7 + 30*c**4/7 - 18*c**3 + 162*c**2/7 = 0. What is c?
0, 3, 9
Solve -7*w**5/6 + 16*w**4 - 42*w**3 - 481*w**2/3 + 945*w/2 + 147 = 0 for w.
-3, -2/7, 3, 7
Solve 75*w**2 - 560*w + 245 = 0 for w.
7/15, 7
Factor -5*f**4 - 360*f**3 - 7160*f**2 - 24480*f - 23120.
-5*(f + 2)**2*(f + 34)**2
Factor 9*t**3 - 84*t**2 + 27*t.
3*t*(t - 9)*(3*t - 1)
Factor -32*g**3/19 + 2160*g**2/19 - 35346*g/19 - 37538/19.
-2*(g + 1)*(4*g - 137)**2/19
Factor x**2/6 - 2*x/3 + 1/2.
(x - 3)*(x - 1)/6
Find j, given that -5*j**4/2 - 35*j**3 + 345*j**2/2 - 135*j = 0.
-18, 0, 1, 3
Let 3*s**2/5 - 39*s/5 + 108/5 = 0. What is s?
4, 9
Suppose -i**2/3 + 11708*i/3 - 34269316/3 = 0. What is i?
5854
Determine z, given that z**3 + 12*z**2 = 0.
-12, 0
Factor -81*m**4 + 171*m**3 - 73*m**2/4 + m/2.
-m*(m - 2)*(18*m - 1)**2/4
Factor 4*s**2/3 + 4*s.
4*s*(s + 3)/3
Factor 12*o**3 - 10*o**2.
2*o**2*(6*o - 5)
Find z such that -4*z**5 + 36*z**4 + 84*z**3 + 44*z**2 = 0.
-1, 0, 11
Suppose 132*y**2/7 - 338*y/7 + 20/7 = 0. Calculate y.
2/33, 5/2
Let -5*p**3 + 385*p**2 - 7600*p + 7220 = 0. What is p?
1, 38
Factor -3*g**3 - 1347*g**2 + 10920*g - 21936.
-3*(g - 4)**2*(g + 457)
Solve -32258*z**2/5 + 1016*z/5 - 8/5 = 0 for z.
2/127
Factor d**3 + 39*d**2 + 344*d + 540.
(d + 2)*(d + 10)*(d + 27)
Determine g, given that g**2 - 22*g + 120 = 0.
10, 12
Factor 5*s**2 + 29630*s + 43896845.
5*(s + 2963)**2
Factor -2*a**3 + 20*a**2.
-2*a**2*(a - 10)
Let 3*b**5 - 2970*b**4 + 980100*b**3 - 107811000*b**2 = 0. Calculate b.
0, 330
Factor 2*r**2/13 + 74*r/13 - 420/13.
2*(r - 5)*(r + 42)/13
Find j, given that -4*j**5 + 132*j**4 - 800*j**3 = 0.
0, 8, 25
S