 + 336*t**2/5 - 9408*t/5 = 0.
0, 56
Factor -4*l**4/3 - 7*l**3/3 - l**2.
-l**2*(l + 1)*(4*l + 3)/3
Factor 2*f**3/3 + 8*f**2 + 24*f + 64/3.
2*(f + 2)**2*(f + 8)/3
Let -5*f**4 - 70*f**3 - 360*f**2 - 810*f - 675 = 0. Calculate f.
-5, -3
Factor -2*m**2/7 + 1024*m - 917504.
-2*(m - 1792)**2/7
Let -4*i**2/3 - 64*i - 768 = 0. Calculate i.
-24
Suppose 2*u**4/3 - 26*u**3/3 + 92*u**2/3 - 8*u - 48 = 0. Calculate u.
-1, 2, 6
Factor -121*x**3/4 + 154*x**2 - 141*x + 36.
-(x - 4)*(11*x - 6)**2/4
Determine s so that -25*s**4 + 47*s**3 + 31*s**2 - 47*s - 6 = 0.
-1, -3/25, 1, 2
Find t such that 2*t**2/11 + 204*t/11 - 416/11 = 0.
-104, 2
Factor 2*k**2/9 - 116*k/9 + 38/3.
2*(k - 57)*(k - 1)/9
Factor -5*b**2 + 85210*b - 363037205.
-5*(b - 8521)**2
Solve -2*w**4 + 624*w**3 - 1240*w**2 = 0.
0, 2, 310
Factor 3*w**4 + 9*w**3 - 69*w**2 + 99*w - 42.
3*(w - 2)*(w - 1)**2*(w + 7)
Determine h, given that 5*h**3 - 5*h**2 - 80*h + 80 = 0.
-4, 1, 4
Suppose 6*k**5/11 + 20*k**4/11 - 52*k**3/11 + 46*k/11 - 20/11 = 0. Calculate k.
-5, -1, 2/3, 1
Factor 3*w**5/4 + 15*w**4/2 + 27*w**3 + 81*w**2/2 + 81*w/4.
3*w*(w + 1)*(w + 3)**3/4
Solve -2*j**4/13 - 4*j**3/13 + 14*j**2/13 + 16*j/13 - 24/13 = 0.
-3, -2, 1, 2
Determine x so that -4*x**5/3 - 103*x**4/3 - 566*x**3/3 - 1028*x**2/3 - 130*x + 57 = 0.
-19, -3, -1, 1/4
Determine b so that -2*b**3/7 + 2*b**2 + 36*b/7 = 0.
-2, 0, 9
Factor -3*j**3/4 + 153*j**2/4 - 2025*j/4 + 1875/4.
-3*(j - 25)**2*(j - 1)/4
Solve 2*a**4/5 - 24*a**3/5 + 94*a**2/5 - 24*a = 0.
0, 3, 4, 5
Factor f**2/2 + 519*f/2 - 260.
(f - 1)*(f + 520)/2
Factor y**3/3 + 8*y**2/3 - y/3 - 8/3.
(y - 1)*(y + 1)*(y + 8)/3
Factor v**3 + 404*v**2 + 40397*v - 82418.
(v - 2)*(v + 203)**2
Let -4*d**4/3 + 60*d**3 - 644*d**2 - 2116*d/3 = 0. What is d?
-1, 0, 23
Suppose -2*d**3 - 168*d**2 - 3840*d - 12800 = 0. Calculate d.
-40, -4
Factor 3*l**2 - 21*l + 18.
3*(l - 6)*(l - 1)
Factor -b**3/8 - 1035*b**2/4 - 1071225*b/8.
-b*(b + 1035)**2/8
Factor 27*h**4 - 78*h**3 + 75*h**2 - 24*h.
3*h*(h - 1)**2*(9*h - 8)
Solve -5*n**4 - 90*n**3 - 400*n**2 + 90*n + 405 = 0 for n.
-9, -1, 1
Suppose -6*d**2/5 + 48*d/5 = 0. Calculate d.
0, 8
Factor -50*s**3 - 4*s**2 + 50*s + 4.
-2*(s - 1)*(s + 1)*(25*s + 2)
Factor 3*o**4 - 30*o**3 - 36*o**2 + 30*o + 33.
3*(o - 11)*(o - 1)*(o + 1)**2
What is m in 12*m**5 - 68*m**4 - 72*m**3 + 272*m**2 + 96*m = 0?
-2, -1/3, 0, 2, 6
Factor 2*q**2/3 - 2020*q/3 + 510050/3.
2*(q - 505)**2/3
Factor 10*q**2/7 + 122*q/7 + 24/7.
2*(q + 12)*(5*q + 1)/7
Let 2*q**3/3 - 2074*q**2/3 + 178882*q + 179574 = 0. What is q?
-1, 519
Solve 396*h**3 - 72*h**2 - 44*h + 8 = 0 for h.
-1/3, 2/11, 1/3
Suppose -3*h**3 + 438*h**2 + 3*h - 438 = 0. Calculate h.
-1, 1, 146
Find y, given that -3*y**3 - 378*y**2 - 1476*y - 1464 = 0.
-122, -2
Determine x, given that -x**2/5 + 1162*x/5 - 337561/5 = 0.
581
Suppose s**4/2 - s**3 - 9*s**2/2 + s + 4 = 0. What is s?
-2, -1, 1, 4
Factor -4*a**3/7 + 336*a**2 - 49392*a.
-4*a*(a - 294)**2/7
Solve 4*l**3/9 + 332*l**2/9 + 2240*l/3 - 784 = 0 for l.
-42, 1
Factor 3*b**2 - 177*b - 8736.
3*(b - 91)*(b + 32)
What is g in -110450*g**5 - 272130*g**4 - 219621*g**3/2 - 15028*g**2 - 1317*g/2 - 9 = 0?
-2, -1/5, -3/94
Let -p**2/5 - 8*p/5 = 0. What is p?
-8, 0
Factor -5*a**4/3 + 115*a**3/3 - 110*a**2/3.
-5*a**2*(a - 22)*(a - 1)/3
Factor 5*l**4 - 300*l**3 + 1140*l**2 - 1120*l.
5*l*(l - 56)*(l - 2)**2
Factor -2*j**2 - 14*j + 36.
-2*(j - 2)*(j + 9)
Factor -q**3 + 30*q**2 - 188*q + 264.
-(q - 22)*(q - 6)*(q - 2)
Factor 4*q**4 - 5460*q**3 + 16356*q**2 - 16348*q + 5448.
4*(q - 1362)*(q - 1)**3
Suppose 5*p**3 - 80*p**2 = 0. Calculate p.
0, 16
Suppose -12*u**5 - 12*u**4 + 309*u**3 - 294*u**2 + 72*u = 0. What is u?
-6, 0, 1/2, 4
Factor 4*r**3/5 + 888*r**2/5 + 65712*r/5 + 1620896/5.
4*(r + 74)**3/5
Factor -3*r**2/4 - 57*r/4 - 27/2.
-3*(r + 1)*(r + 18)/4
Factor 4*j**4/3 - 23072*j**3/3 + 16634912*j**2 - 47975086208*j/3 + 17295018577984/3.
4*(j - 1442)**4/3
Determine a so that -2*a**5/3 - 32*a**4/3 - 18*a**3 + 32*a**2/3 + 56*a/3 = 0.
-14, -2, -1, 0, 1
Suppose -4*d**3/3 + 16*d**2/3 = 0. What is d?
0, 4
Factor 3*u**4 - 33*u**3 - 117*u**2 + 1377*u + 1458.
3*(u - 9)**2*(u + 1)*(u + 6)
Factor -v**4/2 + 2*v**3 - v**2 - 2*v + 3/2.
-(v - 3)*(v - 1)**2*(v + 1)/2
Factor 5*t**4 + 940*t**3 + 44175*t**2 - 940*t - 44180.
5*(t - 1)*(t + 1)*(t + 94)**2
Determine h, given that -2*h**5/11 - 222*h**4/11 - 8400*h**3/11 - 123088*h**2/11 - 559776*h/11 + 691488/11 = 0.
-42, -14, 1
Suppose 2*u**5 - 12*u**4 - 56*u**3 + 12*u**2 + 54*u = 0. What is u?
-3, -1, 0, 1, 9
Factor 8*c**2 + 1940*c + 968.
4*(c + 242)*(2*c + 1)
Suppose 2*x**5 + 24*x**4 + 76*x**3 - 32*x**2 - 270*x + 200 = 0. Calculate x.
-5, -4, 1
Find k such that k**4/4 - 3*k**3/2 + 9*k**2/4 - k = 0.
0, 1, 4
Determine b, given that -2*b**5 - 12*b**4 - 18*b**3 + 8*b**2 + 24*b = 0.
-3, -2, 0, 1
Factor -5*s**3 - 95*s**2 - 575*s - 1125.
-5*(s + 5)**2*(s + 9)
Suppose 5*r**4 + 35*r**3 + 40*r**2 - 140*r - 240 = 0. Calculate r.
-4, -3, -2, 2
Factor 4*s**2 + 48*s + 140.
4*(s + 5)*(s + 7)
Factor -5*b**4/3 + 2503*b**3/3 - 500*b**2.
-b**2*(b - 500)*(5*b - 3)/3
Solve 2*c**5/7 - 2908*c**4/7 + 1411346*c**3/7 - 229573784*c**2/7 + 454925152*c/7 - 226759808/7 = 0.
1, 484
Let -40*a**5 - 70*a**4 - 15*a**3 + 20*a**2 + 5*a = 0. Calculate a.
-1, -1/4, 0, 1/2
Factor -20*u**5 + 52*u**4 - 44*u**3 + 12*u**2.
-4*u**2*(u - 1)**2*(5*u - 3)
What is r in -r**3/4 - 63*r**2/2 - 1323*r - 18522 = 0?
-42
Factor -5*p**3 - 35*p**2 + 50*p + 80.
-5*(p - 2)*(p + 1)*(p + 8)
Determine v so that v**4 + 17*v**3/3 - 8*v**2/3 - 4*v = 0.
-6, -2/3, 0, 1
Factor d**4/4 - 105*d**3/4 + 751*d**2 - 3225*d + 2500.
(d - 50)**2*(d - 4)*(d - 1)/4
Find f such that 3*f**5/8 + 3*f**4 - 15*f**3/8 - 15*f**2 + 3*f/2 + 12 = 0.
-8, -2, -1, 1, 2
Factor 15*z**2 - 138*z + 27.
3*(z - 9)*(5*z - 1)
Factor -t**3/5 - 37*t**2/5 - 323*t/5 + 361/5.
-(t - 1)*(t + 19)**2/5
Let 5*c**3 - 145*c**2 + 275*c - 135 = 0. What is c?
1, 27
Factor y**4 + 1803*y**3 + 1083603*y**2 + 217081801*y.
y*(y + 601)**3
Factor 25*m**4/3 + 35*m**3/3 + 11*m**2/3 + m/3.
m*(m + 1)*(5*m + 1)**2/3
Suppose 3*b**2/8 - 123*b/4 + 432 = 0. What is b?
18, 64
Factor -3*v**2 - 150*v - 1875.
-3*(v + 25)**2
Factor -2*m**4/13 + 8*m**3/13 - 6*m**2/13.
-2*m**2*(m - 3)*(m - 1)/13
Find q such that -q**2/4 + 519*q/4 = 0.
0, 519
Suppose 5*b**3 + 365*b**2 + 6840*b + 6480 = 0. What is b?
-36, -1
Suppose -c**2 + 3*c + 18 = 0. Calculate c.
-3, 6
Factor 48*l**3/5 - 24*l**2 - 861*l/5 - 882/5.
3*(l - 6)*(4*l + 7)**2/5
Find j such that -j**3/10 - 11*j**2/10 - 7*j/10 + 147/10 = 0.
-7, 3
Determine q, given that -q**3/4 + 11*q**2/4 - 8*q + 7 = 0.
2, 7
Factor 2*c**2/5 + 504*c + 158760.
2*(c + 630)**2/5
Determine a so that 2*a**3 + 32*a**2 + 118*a + 88 = 0.
-11, -4, -1
Determine j, given that j**3/4 + 4*j**2 - 35*j/4 + 9/2 = 0.
-18, 1
Let 3*p**5 + 27*p**4 + 30*p**3 - 108*p**2 - 168*p = 0. Calculate p.
-7, -2, 0, 2
Factor -3*n**4 - 27*n**3 + 30*n**2.
-3*n**2*(n - 1)*(n + 10)
Determine p so that -p**3/4 - 111*p**2/4 - 55*p/2 = 0.
-110, -1, 0
Suppose -a**3 - 14*a**2 + 385*a - 1450 = 0. What is a?
-29, 5, 10
Let -5*p**5 + 75*p**4 - 360*p**3 + 540*p**2 = 0. Calculate p.
0, 3, 6
Factor x**2 + x.
x*(x + 1)
Factor -2*o**3 - 142*o**2 - 1238*o - 1098.
-2*(o + 1)*(o + 9)*(o + 61)
Solve 3*r**4/2 - 24*r**3 + 96*r**2 = 0 for r.
0, 8
Factor 3*b**3/4 + 7489*b**2/4 + 1168752*b + 389376.
(b + 1248)**2*(3*b + 1)/4
Suppose 4*a**3 - 368*a**2 + 724*a - 360 = 0. What is a?
1, 90
Factor -h**2/8 + h/2 + 35/2.
-(h - 14)*(h + 10)/8
Factor 2*b**4/7 + 10*b**3/7 + 12*b**2/7 - 8*b/7 - 16/7.
2*(b - 1)*(b + 2)**3/7
Solve 27*s**5/5 + 66*s**4/5 + 51*s**3/5 + 12*s**2/5 = 0 for s.
-1, -4/9, 0
Factor 729*c**5/4 + 486*c**4 - 783*c**3/4 - 2219*c**2/2 - 49*c + 686.
(c - 1)**2*(9*c + 14)**3/4
Suppose y**4/3 + 13*y**3/3 - 119*y**2 + 1715*y/3 - 1372/3 = 0. Calculate y.
-28, 1, 7
Determine l, given that -2*l**2 + 50*l + 1800 = 0.
-20, 45
Factor 2*f**4 - 92*f**3 + 962*f**2 + 2208*f + 1152.
2*(f - 24)**2*(f + 1)**2
What is y in 2*y**5/5 - 132*y**4/5 + 256*y**3/5 + 4*y**2/5 - 258*y/5 + 128/5 = 0?
-1, 1, 64
Factor 3*k**2/5 + 438*k/5 + 15987/5.
3*(k + 73)**2/5
Solve 2*g**5/11 - 18*g**4/11 + 16*g**3/11 = 0 for g.
0, 1, 8
Solve -3*y**3 - 3411*y**2 = 0 for y.
-1137, 0
Factor 3*m**4 - 84*m**3 + 297*m**2 - 216*m.
3*m*(m - 24)*(m - 3)*(m - 1)
Find y such that 3*