Problem
2025 Cayley Problem 23
Amr, Bai, Cindy, and Derek divide N coins between them so that each receives a whole number of coins. Amr receives \frac{1}{3} of the total number of coins that Bai, Cindy and Derek receive. Bai receives \frac{1}{5} of the total number of coins that Amr, Cindy and Derek receive. Cindy receives \frac{1}{7} of the total number of coins that Amr, Bai and Derek receive. If N < 100, what is the largest possible value of N?
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