Four wiggles are the same as three woggles; two woggles are the same as five waggles, and six waggles are the same as one wuggle. Which is the smallest:

1 wuggle, 2 woggles, 3 waggles or 4 wiggles, or is there more than one with the same value?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.