 4*w**2 - 4096*w = 0?
0, 1024
Factor -4*v**3 + 52*v**2 + 80*v - 336.
-4*(v - 14)*(v - 2)*(v + 3)
Determine a, given that -15*a**4/2 + 141*a**3/2 + 138*a**2 - 66*a = 0.
-2, 0, 2/5, 11
What is q in -12*q**4/5 - 369*q**3/5 - 2967*q**2/5 - 387*q + 135 = 0?
-15, -1, 1/4
Let 15*c**4 - 8905*c**3 + 1320165*c**2 + 441045*c = 0. Calculate c.
-1/3, 0, 297
Solve 21*k**2 - 12*k - 9 = 0 for k.
-3/7, 1
Determine v, given that -5*v**2 + 185*v - 930 = 0.
6, 31
Factor 4*b**2 + 72*b + 288.
4*(b + 6)*(b + 12)
Suppose 3*p**5 - 24*p**4 + 27*p**3 + 66*p**2 - 60*p - 72 = 0. What is p?
-1, 2, 6
Let -2*k**4 + 272*k**3 - 9516*k**2 + 18224*k - 8978 = 0. Calculate k.
1, 67
Factor 13*o**3 - 15*o**2 + 2*o.
o*(o - 1)*(13*o - 2)
Factor 4*t**2 - 312*t - 2752.
4*(t - 86)*(t + 8)
Factor -2*v**2/9 - 14*v/9.
-2*v*(v + 7)/9
Factor 4*g**3 + 92*g**2 + 604*g + 1092.
4*(g + 3)*(g + 7)*(g + 13)
Factor -r**4 + 59*r**3 - 224*r**2 + 220*r.
-r*(r - 55)*(r - 2)**2
Factor -p**2 - 50*p + 216.
-(p - 4)*(p + 54)
What is o in o**4 - 2*o**3 - o**2 + 2*o = 0?
-1, 0, 1, 2
Factor -f**3/2 + 7*f/2 + 3.
-(f - 3)*(f + 1)*(f + 2)/2
Let 5*y**3/2 - 54*y**2 + 61*y/2 + 21 = 0. What is y?
-2/5, 1, 21
Factor w**4/2 - 25*w**3/2 - 3*w**2/2 + 73*w/2 + 25.
(w - 25)*(w - 2)*(w + 1)**2/2
Factor -n**2/4 - 4*n - 15/4.
-(n + 1)*(n + 15)/4
Factor -3*o**3 + 33*o**2 - 93*o + 63.
-3*(o - 7)*(o - 3)*(o - 1)
Find z, given that 3*z**5 + 6*z**4 - 66*z**3 + 48*z**2 + 63*z - 54 = 0.
-6, -1, 1, 3
Factor -2*u**2/19 - 186*u/19 - 364/19.
-2*(u + 2)*(u + 91)/19
Let -5*b**4 - 7400*b**3 - 4107000*b**2 - 1013060000*b - 93708050000 = 0. Calculate b.
-370
Solve j**4/3 - 32*j**3/3 + 29*j**2/3 + 62*j/3 = 0.
-1, 0, 2, 31
Find w, given that -10*w**2 + 1635*w - 815 = 0.
1/2, 163
Let 2*n**5 + 32*n**4 + 178*n**3 + 412*n**2 + 408*n + 144 = 0. Calculate n.
-6, -2, -1
Determine p so that -5*p**4 - 365*p**3 - 1840*p**2 + 201020*p = 0.
-46, 0, 19
Factor 15*s**4 + 51*s**3 - 132*s**2 - 60*s.
3*s*(s - 2)*(s + 5)*(5*s + 2)
Let -2*d**2 + 120*d + 378 = 0. What is d?
-3, 63
Factor -2*n**4/7 + 8*n**3/7 - 10*n**2/7 + 4*n/7.
-2*n*(n - 2)*(n - 1)**2/7
Find l, given that l**3/3 + 94*l**2/3 - 388*l/3 + 392/3 = 0.
-98, 2
Suppose m**3 + 13*m**2 + 46*m + 48 = 0. Calculate m.
-8, -3, -2
Factor 2*n**2 - 236*n + 234.
2*(n - 117)*(n - 1)
Factor 10*h**4 - 135*h**3 - 75*h**2 + 70*h.
5*h*(h - 14)*(h + 1)*(2*h - 1)
Suppose -5*p**3 + 5*p**2 + 2280*p + 18000 = 0. Calculate p.
-12, 25
Factor -3*o**2/4 - 15*o - 72.
-3*(o + 8)*(o + 12)/4
Determine w so that 4*w**5/9 - 916*w**4/9 + 52892*w**3/9 - 51068*w**2/9 - 17632*w/3 + 5776 = 0.
-1, 1, 114
Factor 5*y**3 + 510*y**2 - 1040*y.
5*y*(y - 2)*(y + 104)
Solve -5*d**3 - 14790*d**2 - 10922400*d + 21904000 = 0 for d.
-1480, 2
Let -q**5 - 7*q**4 - 3*q**3 + 19*q**2 + 4*q - 12 = 0. What is q?
-6, -2, -1, 1
Solve -70*i**5/13 - 48*i**4/13 + 482*i**3/13 - 84*i**2/13 - 232*i/13 - 48/13 = 0 for i.
-3, -2/5, -2/7, 1, 2
Factor 4*q**4/7 - 4*q**3/7 - 136*q**2/7 - 32*q.
4*q*(q - 7)*(q + 2)*(q + 4)/7
Suppose 3*g**2 + 24*g + 48 = 0. Calculate g.
-4
Let -2*o**2 + 36*o - 34 = 0. What is o?
1, 17
Determine q, given that 4*q**2 + 16*q - 560 = 0.
-14, 10
Factor 9*x**3/4 + 15*x**2/2 - 27*x/4 - 3.
3*(x - 1)*(x + 4)*(3*x + 1)/4
Suppose -q**5 - 623*q**4 - 621*q**3 + 623*q**2 + 622*q = 0. What is q?
-622, -1, 0, 1
Find n, given that n**3 - 25*n**2 + 164*n - 140 = 0.
1, 10, 14
Determine j, given that 2*j**3/5 - 56*j**2 - 854*j/5 - 572/5 = 0.
-2, -1, 143
Factor -4*p**2 - 5624*p - 1976836.
-4*(p + 703)**2
Determine b so that -5*b**3 - 1725*b**2 - 5140*b - 3420 = 0.
-342, -2, -1
Determine a, given that a**4/4 + 9*a**3/4 + 15*a**2/2 + 11*a + 6 = 0.
-3, -2
Determine i so that -i**3/3 + 2*i**2 + 55*i/3 = 0.
-5, 0, 11
Factor 18*g**2 + 142*g + 112.
2*(g + 7)*(9*g + 8)
Determine v, given that -5*v**3 - 260*v**2 - 2880*v = 0.
-36, -16, 0
Factor -5*d**3 + 95*d**2 - 495*d + 405.
-5*(d - 9)**2*(d - 1)
What is j in -22*j**3 - 153*j**2 + 183*j - 8 = 0?
-8, 1/22, 1
Factor 2*b**3/3 + 52*b**2/9 - 22*b/9 - 4.
2*(b - 1)*(b + 9)*(3*b + 2)/9
Solve 2*k**5 - 64*k**4 - 692*k**3 - 1880*k**2 - 318*k + 2952 = 0 for k.
-4, -3, 1, 41
Suppose 2*p**5/9 + 22*p**4/9 + 62*p**3/9 + 14*p**2/3 = 0. What is p?
-7, -3, -1, 0
Factor -v**3/3 - 308*v**2 - 71455*v - 425042/3.
-(v + 2)*(v + 461)**2/3
Solve f**5/5 + 144*f**4 + 26062*f**3 + 50548*f**2 - 179859*f + 515524/5 = 0.
-359, -4, 1
Solve -2*i**3/13 + 2*i**2 - 112*i/13 + 160/13 = 0.
4, 5
Find x such that 9*x**4 - 1749*x**3 - 4715*x**2 - 2559*x - 394 = 0.
-2, -1/3, 197
Solve -3*d**3 + 39*d**2 - 78*d - 336 = 0.
-2, 7, 8
Factor -2*u**3/5 - 24*u**2/5 - 22*u/5 + 336/5.
-2*(u - 3)*(u + 7)*(u + 8)/5
Factor -4*o**5/3 + 88*o**4/3.
-4*o**4*(o - 22)/3
Factor 4*c**4/3 - 52*c**3/3 + 72*c**2 - 368*c/3 + 224/3.
4*(c - 7)*(c - 2)**3/3
Suppose -5*l**2 + 20*l = 0. Calculate l.
0, 4
Factor 7*v**5/3 + 94*v**4/3 + 364*v**3/3 + 110*v**2/3 - 1075*v/3 + 500/3.
(v - 1)*(v + 5)**3*(7*v - 4)/3
Solve 8*f**2 - 1738*f + 434 = 0.
1/4, 217
Factor 614*i**2/11 - 3676*i/11 - 48/11.
2*(i - 6)*(307*i + 4)/11
Determine h so that -5*h**5/3 + 10*h**4 + 185*h**3/3 + 170*h**2/3 - 60*h - 200/3 = 0.
-2, -1, 1, 10
Factor 4*g**2 + 28*g - 32.
4*(g - 1)*(g + 8)
Find g such that -2*g**5/17 + 192*g**4/17 + 196*g**3/17 - 192*g**2/17 - 194*g/17 = 0.
-1, 0, 1, 97
Let -h**4/3 - 43*h**3/12 - 101*h**2/12 + 7*h/3 = 0. What is h?
-7, -4, 0, 1/4
Suppose -2*s**4/9 + 62*s**3/9 - 436*s**2/9 - 896*s/9 + 1024/3 = 0. What is s?
-3, 2, 16
Suppose -13*f**5/3 + 46*f**4/3 - 5*f**3 - 70*f**2/3 + 28*f/3 + 8 = 0. Calculate f.
-1, -6/13, 1, 2
Let 4*b**3 + 2356*b**2 + 348096*b + 345744 = 0. Calculate b.
-294, -1
Factor -o**2/4 + 197*o - 393.
-(o - 786)*(o - 2)/4
Factor f**4/2 + 227*f**3/8 - 289*f**2/8 + 29*f/4.
f*(f - 1)*(f + 58)*(4*f - 1)/8
Solve -16*f**2/7 - 138*f - 360/7 = 0 for f.
-60, -3/8
Solve -19*u**5 + 135*u**4 - 185*u**3 - 115*u**2 + 204*u - 20 = 0.
-1, 2/19, 1, 2, 5
Let -20*s**4/3 + 44*s**3/3 = 0. Calculate s.
0, 11/5
Factor 192*c**4 - 624*c**3 - 1509*c**2 - 828*c - 135.
3*(c - 5)*(c + 1)*(8*c + 3)**2
Determine l, given that -4*l**3/9 + 580*l**2 - 3476*l/3 + 5212/9 = 0.
1, 1303
Factor v**2/3 + 53*v/3 + 34.
(v + 2)*(v + 51)/3
Factor -13*k**3/5 - 184*k**2/5 - 133*k - 98/5.
-(k + 7)**2*(13*k + 2)/5
Factor -a**3/3 - 26*a**2/3 + 55*a/3 - 28/3.
-(a - 1)**2*(a + 28)/3
Factor 3*z**2/2 + 6819*z/2 + 3408.
3*(z + 1)*(z + 2272)/2
Let -3*v**3/2 + 132*v**2 + 546*v + 552 = 0. What is v?
-2, 92
Factor -2*b**5 + 4*b**4 - 4*b**2 + 2*b.
-2*b*(b - 1)**3*(b + 1)
Suppose -4*b**2 + 1520*b = 0. Calculate b.
0, 380
Factor -27*o**3 + 279*o**2 + 483*o - 7935.
-3*(o + 5)*(3*o - 23)**2
Find h, given that h**4/3 + 11*h**3/3 + 14*h**2/3 - 44*h/3 - 24 = 0.
-9, -2, 2
Let x**4/4 - 1729*x**3/2 + 2989441*x**2/4 = 0. What is x?
0, 1729
Suppose 9*s**5 - 123*s**4 + 618*s**3 - 1368*s**2 + 1248*s - 384 = 0. What is s?
2/3, 1, 4
Factor 5*q**2 - 45*q - 50.
5*(q - 10)*(q + 1)
What is v in -6*v**3/5 - 27*v**2/5 - 6*v - 9/5 = 0?
-3, -1, -1/2
Factor a**2/7 + 13*a/7.
a*(a + 13)/7
Find a, given that 4*a**2 + 3036*a = 0.
-759, 0
Suppose -3*o**2 - 1374*o - 157323 = 0. What is o?
-229
Solve 3*k**4 - 168*k**3 + 2664*k**2 - 8736*k + 8112 = 0.
2, 26
Solve -2*l**4/7 - 32*l**3/7 - 144*l**2/7 - 256*l/7 - 160/7 = 0.
-10, -2
Suppose l**3 + 7*l**2 + 6*l = 0. What is l?
-6, -1, 0
Factor -t**2 - 656*t - 1308.
-(t + 2)*(t + 654)
Find i such that 2*i**5/3 - 4*i**4 + 26*i**3/3 - 8*i**2 + 8*i/3 = 0.
0, 1, 2
Factor -3*r**2/2 - 63*r/2.
-3*r*(r + 21)/2
Suppose -5*q**3 - 395*q**2 - 775*q - 385 = 0. Calculate q.
-77, -1
Solve 2*j**2/17 - 28*j/17 - 190/17 = 0 for j.
-5, 19
Factor -3*k**4 - 546*k**3 - 27348*k**2 - 221880*k.
-3*k*(k + 10)*(k + 86)**2
Let 2*o**4/3 + 2*o**3/3 - 4*o**2/3 = 0. What is o?
-2, 0, 1
Solve c**4/2 + c**3 - 3*c**2/2 - 4*c - 2 = 0 for c.
-2, -1, 2
Factor 2*l**3/5 - 16*l**2 + 160*l.
2*l*(l - 20)**2/5
Factor c**3 + 19*c**2 - 41*c + 21.
(c - 1)**2*(c + 21)
Let -2*z**2 + 178*z + 940 = 0. Calculate z.
-5, 94
Factor -2*v**2 - 2866*v + 5740.
-2*(v - 2)*(v + 1435)
Factor 2*y**2/3 + 6640*y/3 + 5511200/3.
2*(y + 1660)**2/3
Let 5*u**3/4 - 315*u**2/4 + 615*u/4 - 305/4 = 0. Calculate u.
1, 61
Factor -5*q**3/4 + 45*q**2/4 - 25*q.
-5*q*(q - 5)*(q - 4)/4
Factor 3*f**2 + 405*f + 798.
3*(f + 2)*(f + 133)
Solve -4*k**2 + 236*k - 232 = 0.
1, 58
Factor -4*a**2 - 176*a - 492.
-4*(a