TRICKY RIDDLE, first one to correctly answer gets BA?

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This one will take some thought..

Five monkeys swing their way to a tiny island where there is nothing but a banana tree and a computer programmer. The monkeys gather all the bananas and put them in a big pile under the tree. Exhausted, they agree to go to wait until the next morning to divide up the bananas.

At one o'clock in the morning, the first monkey wakes. He realizes that he can't trust the others, and decides to take his share now. He divides the bananas into five equal piles, but there is one left over. He gives that banana to the programmer, buries his bananas , and puts the rest of the bananas back under the tree.

At two o'clock, the second monkey wakes up. Not realizing that the first monkey has already taken his share, he too divides the bananas up into five piles, leaving one over which he gives to the programmer. He then hides his share, and piles the remainder back under the tree.

At three, four and five o'clock in the morning, the third, fourth and fifth monkeys each wake up and carry out the same actions.

In the morning, all the monkeys wake up, and try to look innocent. No one makes a remark about the diminished pile of bananas, and no one decides to be honest and admit that they've already taken their share. Instead, they divide the pile up into five piles, and find that there is yet again one banana left over, which they give to the programmer.

How many banannas were there originally?
 
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