Purposed answers to the hardest episode ever http://youtu.be/DoRB7FL02t4

math.txt

[ 1 + 1 + 1 ] ! = 6
2 + 2 + 2 = 6
4 + 4 - sqrt(4) = 6
5 / 5 + 5 = 6
6 + 6 - 6 = 6
7 - (7 / 7) = 6
sqrt( 9 ) * sqrt( 9 ) - sqrt ( 9 ) = 6

And the tough ones are 
0 :   [ Cos ( 0° ) + Cos ( 0°) + Cos ( 0° ) ]! = 6
8 :   cos [ ( 8! ) * ( 8 / 8 ) ) = cos ( 6! )


The cosine of 0 in radians in 1

8! = 40,320
40,320 divides evenly into 360 which is 112
112 in radians is the same as 1 on the unit circle which is the same as 6! (aka 720°)