The sum of the reciprocals of two real numbers is −1, and the sum of their cubes is 4.  What are the numbers?

In how many ways can 50! be expressed as a sum of two or more consecutive positive integers?

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Problems from 07/20/17

Problem 1:The sum of three consecutive numbers in an arithmetic sequence is equal 27 and their product is equal to 585. What is the largest of  the three numbers?

Congratulations to Ramachandran Balakrishna and Avanish Gowrishankar, who were the winners of the last set of puzzles.