# An algebra problem by Paola Ramírez

Algebra Level 3

Given that:

$\begin{array}{lcr} ab=1 & bc=2 & cd= 3 \\ de=4 & ea=5 & b=? \\ \end{array}$

with $$a,b,c,d$$ and $$d$$ positive numbers.Find $$b$$

If $$b=\dfrac{\sqrt{x!}}{y}$$ where $$x<6$$ is a prime,submit the answer as $$x+y$$.

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