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As I was solving a math problem, I stumbled upon a question:

What conditions must $a,b,c,d,e$ meet for $n$ to be a natural number?

(Frankly speaking, I would like all but one of $a,b,c,d,e$ to be equal to $1$, but I do not know how to prove it.)

Here it is:

$$n=\frac{bcde+cde+de+e+1}{abcde-1}$$

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    You cannot have everything equal to 1, because everything equal to 2 is a solution.2011-10-31
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    I am sorry for this imprecision. The trick is , n>1.2011-10-31
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    If this is the "trick", could you put this "trick" in the formulation of the question?2011-10-31

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