How can I optimize MySQL query with multiple joins?

For each table you should create a composite index on both columns. The syntax varies a bit, but it is something like.

You're asking if the query can be tune. I would first ask if the data, itself can be tuned. I.e.

Please consider putting the data in A, B, C, D and E into a single table with NULL-able columns. This will reduce the complexity of searches from O(N^5) to O(N).

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