Okay, you computer programming savantes and self-proclaimed ''mathemajicians'' of foo, this is your chance to prove your mettle. Now, these mathematical conundrums are not for the faint of heart, infact most of them probably have never been solved.. but, I invite you to try your hand at them anyway.. haha, best of luck (you're going to need it)

Math riddle #1.

If an integernis greater than 2, provide the 'proof' that the equationa^n +b^n =c^n has no solutions in non-zero integersa, b, andc.

Math riddle #2.

Provide the proof that the circumference of a circlecdivided by it's diameterdis infact always equal to a 'nonrational' real integer.

Math riddle #3.

Find a way to factor out (x+4) from the denominator of the trinomial;

(6x^3 + 23x^2 + 6x + 40) / (x+4)

good luck.. and pls show your work.