Problem 1436
As Halloween approaches, a math teacher wants to give some candy to each of her students on Halloween. As a math teacher her goal is for everyone to get an equal (of course) number of pieces. The teacher has less than 185 pieces of candy. If she makes groups of 2, 3, or 4 for each student she will have 1 piece of candy left over. If she uses groups of 5, she will have none left over. What is the greatest number of pieces of candy does she could have?
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