A group of 17 babies are playing with some toy blocks. They put their blocks into 11 equal piles of multiple blocks. There is a twelfth pile that contains 6 leftover blocks. But when they put the...

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   A group of 17 babies are playing with some toy blocks. They put their blocks into 11 equal piles of multiple blocks. There is a twelfth pile that contains 6 leftover blocks. But when they put the blocks into 17 equal piles, there aren’t any left over. What’s the smallest number of blocks they could have?

   
   

Chinese remainder th