*2 - 408*x.
-2*x*(x - 51)*(x - 2)*(x + 2)
Factor -4*z**4 - 204*z**3 - 3192*z**2 - 14608*z - 11616.
-4*(z + 1)*(z + 6)*(z + 22)**2
Factor 199*o**3/2 + 1989*o**2/2 + 4965*o/2 - 25/2.
(o + 5)**2*(199*o - 1)/2
Factor -5*m**3 - 230*m**2 - 655*m - 430.
-5*(m + 1)*(m + 2)*(m + 43)
Factor -d**3/2 + 3*d**2/10 + d/5.
-d*(d - 1)*(5*d + 2)/10
Find w such that -4*w**4 + 24*w**3 - 12*w**2 - 40*w = 0.
-1, 0, 2, 5
Factor 44*u**2/5 + 10*u + 6/5.
2*(u + 1)*(22*u + 3)/5
Solve 37*y**4/7 + 312*y**3 - 2161*y**2/7 - 60*y/7 = 0.
-60, -1/37, 0, 1
Find d such that -25*d**2 + 615*d + 250 = 0.
-2/5, 25
Factor 2*d**3/11 - 346*d**2/11 - 2*d/11 + 346/11.
2*(d - 173)*(d - 1)*(d + 1)/11
Factor -d**3 + 176*d**2 + 179*d - 354.
-(d - 177)*(d - 1)*(d + 2)
Factor -m**4/7 - 102*m**3/7 + 421*m**2/7 - 318*m/7.
-m*(m - 3)*(m - 1)*(m + 106)/7
Solve -n**5 - 42*n**4 + 89*n**3 + 42*n**2 - 88*n = 0 for n.
-44, -1, 0, 1, 2
Let 28*k**4 - 76*k**3 + 60*k**2 - 4*k - 8 = 0. What is k?
-2/7, 1
Find c, given that 3*c**2/4 + 45*c - 93 = 0.
-62, 2
Factor 20*p**2 - 46285*p + 11570.
5*(p - 2314)*(4*p - 1)
Factor -2*v**3/17 + 54*v**2/17 - 20*v.
-2*v*(v - 17)*(v - 10)/17
Factor -28*t**3 + 832*t**2 - 6060*t - 1800.
-4*(t - 15)**2*(7*t + 2)
Factor 2*i**4/7 - 16*i**3 + 218*i**2/7 - 108*i/7.
2*i*(i - 54)*(i - 1)**2/7
Factor -3*b**3 + 1194*b**2 + 2397*b + 1200.
-3*(b - 400)*(b + 1)**2
Factor 2*o**2 - 34*o + 84.
2*(o - 14)*(o - 3)
Let -54*j**3/17 - 158*j**2/17 + 228*j/17 - 16/17 = 0. What is j?
-4, 2/27, 1
Determine a so that -a**4/4 - 9*a**3 + 159*a**2/4 - 23*a/2 - 60 = 0.
-40, -1, 2, 3
Factor -4*v**5 - 276*v**4 - 536*v**3 + 8*v**2 + 540*v + 268.
-4*(v - 1)*(v + 1)**3*(v + 67)
Factor w**3 + 2*w**2 - 8*w.
w*(w - 2)*(w + 4)
Determine t so that t**2/3 - 961*t/3 + 320 = 0.
1, 960
Factor v**3/5 + 52*v**2/5 + 196*v/5 + 192/5.
(v + 2)**2*(v + 48)/5
Find l such that 8*l**4/7 + 6*l**3 + 66*l**2/7 + 38*l/7 + 6/7 = 0.
-3, -1, -1/4
Let 578*m**5/23 + 46104*m**4/23 + 79874*m**3/23 + 24372*m**2/23 - 9352*m/23 + 624/23 = 0. What is m?
-78, -1, 2/17
Factor -4*k**2 + 2016*k - 254016.
-4*(k - 252)**2
Solve d**2/5 + 2*d/5 - 3/5 = 0.
-3, 1
Factor o**3 - 289*o**2/6 + 584*o - 96.
(o - 24)**2*(6*o - 1)/6
Let -100*w**3 - 65*w**2 + 130*w + 35 = 0. Calculate w.
-7/5, -1/4, 1
Factor -2*g**3 - 42*g**2 - 144*g + 864.
-2*(g - 3)*(g + 12)**2
Find f, given that -2*f**3/5 - 11*f**2/5 - f = 0.
-5, -1/2, 0
Suppose -3*y**4/4 - 3*y**3/2 + 3*y**2 + 6*y = 0. Calculate y.
-2, 0, 2
Factor -5*w**4 - 18220*w**3 - 16598420*w**2.
-5*w**2*(w + 1822)**2
Factor 4*q**4 - 16*q**3 + 20*q**2 - 8*q.
4*q*(q - 2)*(q - 1)**2
Suppose -7*w**4 - 3225*w**3 - 372598*w**2 - 263580*w + 105800 = 0. Calculate w.
-230, -1, 2/7
Factor t**2/6 + 27*t/2 + 355/3.
(t + 10)*(t + 71)/6
Factor 5*x**2/2 - 180*x + 355/2.
5*(x - 71)*(x - 1)/2
Solve 3*z**2/7 - 27*z/7 = 0.
0, 9
What is g in g**5/7 - 17*g**4/7 - 57*g**3/7 - 59*g**2/7 - 20*g/7 = 0?
-1, 0, 20
Solve -5*c**3/2 - 120*c**2 - 2835*c/2 = 0.
-27, -21, 0
Find n, given that -n**3/2 - 29*n**2/2 = 0.
-29, 0
Factor -d**2 + 106*d + 216.
-(d - 108)*(d + 2)
Solve -256*l**2 + 24768*l - 599076 = 0.
387/8
Factor -x**3 - 170*x**2/3 - 193*x + 212/3.
-(x + 4)*(x + 53)*(3*x - 1)/3
Factor 4*b**3/3 + 1000*b**2/3 + 63488*b/3 + 123008/3.
4*(b + 2)*(b + 124)**2/3
Suppose 28*w**2 + 692*w - 1728 = 0. What is w?
-27, 16/7
Let 5*d**3 + 7290*d**2 + 29100*d + 29080 = 0. What is d?
-1454, -2
Let 3*u**3 - 426*u**2 - 429*u = 0. Calculate u.
-1, 0, 143
Factor 2*x**2 - 670*x - 3400.
2*(x - 340)*(x + 5)
Factor m**2/5 + 1374*m/5 + 471969/5.
(m + 687)**2/5
Suppose -2*i**2 - 44*i + 2350 = 0. Calculate i.
-47, 25
Determine r, given that -r**2 + 1966*r - 966289 = 0.
983
Factor -3*b**2/5 - 36*b/5 - 108/5.
-3*(b + 6)**2/5
Factor 5*o**3 - 5*o**2.
5*o**2*(o - 1)
Factor 5*t**5 - 45*t**4 - 15*t**3 + 145*t**2 - 90*t.
5*t*(t - 9)*(t - 1)**2*(t + 2)
Factor -2*u**2/3 + 46*u/3.
-2*u*(u - 23)/3
Solve -u**3 + 34*u**2 - 33*u = 0 for u.
0, 1, 33
Solve -3*p**4/7 + 114*p**3/7 + 360*p**2/7 + 366*p/7 + 123/7 = 0.
-1, 41
Suppose w**2/2 + 5*w - 11/2 = 0. What is w?
-11, 1
Factor 3*v**2 + 2298*v - 4608.
3*(v - 2)*(v + 768)
Let -5*n**4/2 + 19*n**3/2 - 5*n**2/2 - 27*n/2 + 9 = 0. What is n?
-6/5, 1, 3
Factor 2*j**3 + 308*j**2 - 1582*j + 1272.
2*(j - 4)*(j - 1)*(j + 159)
Factor 3*l**3 - 2133*l**2 + 505521*l - 39936159.
3*(l - 237)**3
Solve -2*h**4/13 + 4*h**3 - 138*h**2/13 - 8*h/13 + 184/13 = 0 for h.
-1, 2, 23
Solve u**2 + 2602*u - 5208 = 0.
-2604, 2
Factor f**2 - 15*f - 16.
(f - 16)*(f + 1)
Suppose 5*i**5 + 40*i**4 + 65*i**3 - 110*i**2 - 160*i + 160 = 0. What is i?
-4, -2, 1
Suppose 10*z**5/9 + 6*z**4 - 830*z**3/9 - 130*z**2/3 + 820*z/9 + 112/3 = 0. Calculate z.
-12, -1, -2/5, 1, 7
Factor 4*b**4 + 56*b**3 + 52*b**2.
4*b**2*(b + 1)*(b + 13)
Determine h so that 6*h**5 - 68*h**4 - 126*h**3 - 52*h**2 = 0.
-1, -2/3, 0, 13
Factor 81*g**4 - 17460*g**3 - 25349*g**2 - 8676*g - 868.
(g - 217)*(g + 1)*(9*g + 2)**2
Suppose -1306*x**5 - 2608*x**4 + 5232*x**3 + 2596*x**2 - 3926*x + 12 = 0. Calculate x.
-3, -1, 2/653, 1
Factor 4*g**2 + 2812*g + 5608.
4*(g + 2)*(g + 701)
Solve -4*j**4 - 20*j**3 + 88*j**2 + 464*j + 480 = 0.
-6, -2, 5
Factor 36*i**4 - 316*i**3 + 216*i**2 + 64*i.
4*i*(i - 8)*(i - 1)*(9*i + 2)
Solve 2*i**2 + 144*i - 296 = 0.
-74, 2
Suppose 2*z**3/3 - 8*z**2/3 - 2*z/3 + 8/3 = 0. Calculate z.
-1, 1, 4
Factor 4*u**2/5 + 40*u.
4*u*(u + 50)/5
Determine o, given that 3*o**3 - 93*o**2 = 0.
0, 31
Factor -r**4/2 - 24*r**3 - 525*r**2/2 + 625*r.
-r*(r - 2)*(r + 25)**2/2
Factor 4*m**3 - 12684*m**2 + 13406988*m - 4723728772.
4*(m - 1057)**3
Factor 2*y**3/5 + 7*y**2/5 + 6*y/5.
y*(y + 2)*(2*y + 3)/5
Factor 3*x**2/4 - 222*x - 891/4.
3*(x - 297)*(x + 1)/4
Factor -q**3 + 101*q**2 + 102*q.
-q*(q - 102)*(q + 1)
Suppose -5*d**4 - 10*d**3 + 20*d**2 + 40*d = 0. Calculate d.
-2, 0, 2
Factor -a**2 + 31*a + 66.
-(a - 33)*(a + 2)
Determine l so that -l**2/7 + 2*l/7 - 1/7 = 0.
1
Factor a**5 - 19*a**4 - 63*a**3 - 65*a**2 - 22*a.
a*(a - 22)*(a + 1)**3
Solve -2*o**3 - 72*o**2 - 264*o - 256 = 0.
-32, -2
Factor 5*q**2 + 340*q + 5780.
5*(q + 34)**2
Factor 2*g**3/9 - 1006*g**2/9 + 124982*g/9 + 128018/3.
2*(g - 253)**2*(g + 3)/9
Find d such that -3*d**4 - 24*d**3 - 18*d**2 + 24*d + 21 = 0.
-7, -1, 1
Let w**2 + 2520*w + 1587600 = 0. Calculate w.
-1260
Factor 6*u**3/19 - 20*u**2/19 - 18*u/19 + 8/19.
2*(u - 4)*(u + 1)*(3*u - 1)/19
Factor 5*o**3 - 985*o**2 + 1955*o - 975.
5*(o - 195)*(o - 1)**2
Factor 2*k**3/7 + 904*k**2/7.
2*k**2*(k + 452)/7
Factor 28*v**5 - 8*v**4 - 168*v**3 - 176*v**2 - 20*v + 24.
4*(v - 3)*(v + 1)**3*(7*v - 2)
Factor 5*t**4/3 - 20*t**3/3 - 400*t**2/3 - 320*t.
5*t*(t - 12)*(t + 4)**2/3
Factor -3*f**4 - 81*f**3 - 558*f**2 - 1356*f - 1080.
-3*(f + 2)**2*(f + 5)*(f + 18)
Factor m**2/2 + 19*m/2.
m*(m + 19)/2
Solve -3*a**2 - 60*a + 1023 = 0.
-31, 11
Let 4*i**3 - 108*i**2 + 540*i + 2700 = 0. What is i?
-3, 15
Factor -3*z**4 + 306*z**3 - 5751*z**2 - 104652*z - 350892.
-3*(z - 57)**2*(z + 6)**2
Factor 2*n**4/9 - 2*n**3/9 - 2*n**2/9 + 2*n/9.
2*n*(n - 1)**2*(n + 1)/9
Suppose -t**5/2 + 4*t**4 + 29*t**3 + 44*t**2 + 39*t/2 = 0. Calculate t.
-3, -1, 0, 13
Factor 4*g**3 - 224*g**2 + 1764*g - 3384.
4*(g - 47)*(g - 6)*(g - 3)
Factor 3*p**2 - 3*p - 168.
3*(p - 8)*(p + 7)
Factor 3*c**4 - 96*c**3 + 1152*c**2 - 6144*c + 12288.
3*(c - 8)**4
Factor 2*q**4/3 - 4*q**2 - 16*q/3 - 2.
2*(q - 3)*(q + 1)**3/3
Find h such that -5*h**4 + 5*h**3 + 75*h**2 + 115*h + 50 = 0.
-2, -1, 5
Find b, given that b**5 - 16*b**4 - b**3 + 16*b**2 = 0.
-1, 0, 1, 16
Factor -r**2/2 - 10*r - 75/2.
-(r + 5)*(r + 15)/2
Solve -2*k**2 + 8 = 0.
-2, 2
Find h, given that 28*h**5 - 348*h**4 + 396*h**3 + 508*h**2 - 264*h = 0.
-1, 0, 3/7, 2, 11
What is s in s**4/2 - 5*s**3/2 + 7*s**2/2 - 3*s/2 = 0?
0, 1, 3
Factor -2*y**2/11 - 34*y/11 - 60/11.
-2*(y + 2)*(y + 15)/11
Factor 4*n**2 - 76*n - 80.
4*(n - 20)*(n + 1)
Let -2*j**2 + 181*j/3 - 10 = 0. Calculate j.
1/6, 30
Factor -2*v**2/5 + 292*v/5 - 10658/5.
-2*(v - 73)**2/5
Solve 2*i**2 + 5476*i + 3748322 = 0.
-1369
Factor 8*q**4 + 164*q**3 + 880*q**2 + 400*q.
4*q*(q + 10)**2*(2*q + 1)
Factor -5*v**2/4 - 145*v/4 + 315.
-5*(v - 7)*(v + 36)/4
Factor 4*p**2 - 3928*p - 3932.
4*(p - 983)*(p + 1)
What is o in -o**4 + 211*o**3 - 15300*o**2 + 411536*o - 2201024 = 0?
7, 68
Suppose -8*o**4 - 106*o**3 + 206*o**2 - 62*o - 30 = 0. What is