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You are given that $5^p = 9$, $9^q = 12$, $12^r = 16$, $16^s = 20$ and $20^t = 25$.

What is the value of $pqrst$?

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

*This problem is taken from the UKMT Mathematical Challenges.*