given x | y<sup>m</sup>, y | x<sup>n</sup>, y | z<sup>o</sup>, z | y<sup>p</sup>, for any integer m,n,o,p, are you able to deduce that x | z<sup>q</sup> and z | x<sup>r</sup> for any integer q and r?
This is from discrete maths, I was trying to prove transitivity. Just doesn't know how to do...