Existence of solution of Diophantos linear equation (yes or no).
ax+by+cz=t Diophant, for what values of z has a solution?
Solve (x-27)(x+12)=xy
donner m+n et mn, demander m et n.

Given pseudo-factorization (two primes equal) and knowing that
	n is a square/cube, ask for the two equal primes.
Quel est le plus petit entier positif/impair ayant n facteurs premiers differents?
De meme, mais carre/cube.
le plus grand nombre de facteurs differents pour un entier <=given.
Given factors of gcd and mn, ask for possibility (yes/no).
Given two formal factorisations where pi are 
      primes/different primes/coprime/anything, what can be said of gcd/lcm?
      always equal, at most, at least


