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Comments in green were written by me. Comments in blue were not written by me.
I think problem 5 needs clarification. By numbers, you mean positive integers? Does the sum just consisting of the number 35 count? Are these ordered or unordered sums?

Thank you for all your hard work on this, it's a lot of fun.
Mike
on /blog/36
               
@Mike: I've added a clarification to puzzle 5. Glad you're enjoying the puzzles!
Matthew
on /blog/36
               

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