Maths Olympiad Daily Problems
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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.
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This is a set of 3 good algebra problems and I would like you all to solve by abstract and elegant methods rather than old traditional methods,Brute force and unnecessary manipulation without any justification should be avoided and I will post the solution on 10th March , and the first solver of these questions will get something from me (obviously not money as I am unemployed but something valuable) and I will post the solution on 10th March , please do pay attention to the heading of the question they may serve as a hint for begginers.
Enjoy 😜
Prove that for every positive integer n, there exists an integer m such that 2^m+m is
divisible by n.
