I consider it an amazing though very challenging puzzle:
1 2 3 4 5 = 5 4 3 2 1
One must insert exactly five pluses (i.e. five addition signs) somewhere between those ten displayed figures in such way that it becomes a true mathematical equality. Also, you can't rearrange/transpose the figures; no other inserts (no other symbols) besides five pluses are allowed; decimal positional system is used.
Today I gave thought to it and I actually managed to solve it on my own. My problem is I solved it by accident. It was luck!
The question is: can it be solved rationally? I.e. does this puzzle have a precise and thorough solution (when you realize what you are doing and there is no chance for mistakes)? One thing is luck, another thing is mathematical approach.