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1. A troop of 17 zombies store their brains in 11 piles of equal size with...

1. A troop of 17 zombies store their brains in 11 piles of equal size with a twelfth pile of six left over. When they divide the brains into 17 equal piles 3 brains remain. What is the smallest number of brains they can have? (Based on Congruences)

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