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Find all positive integer pairs (x, y)

This is a modified version of an IMO problem. The original problem had a 7 instead of 11. You may want to try it.

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From the 2017  Pan Africa Math Olympiad Day 2 #4
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From the 2017 Pan Africa Math Olympiad Day 2 #4

Find the largest positive integer
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Find the largest positive integer

Find All Prime Pairs (p. q) for Positive Integer n.
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Find All Prime Pairs (p. q) for Positive Integer n.

x^y = y^(x-y)
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x^y = y^(x-y)

Find all integer solutions (Russian Math Olympiad)
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Find all integer solutions (Russian Math Olympiad)

Tuesday, July 21 Morning Prayer for Financial Breakthrough | Trust God to Provide Every Need Today 🙏
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Tuesday, July 21 Morning Prayer for Financial Breakthrough | Trust God to Provide Every Need Today 🙏

a * b = ab + a + b
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a * b = ab + a + b

Stockfish, But It Loses 50 ELO Every Move
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Stockfish, But It Loses 50 ELO Every Move

Find all natural numbers such that 2^n + n divides 8^n + n
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Find all natural numbers such that 2^n + n divides 8^n + n

Trump Booed & Embarrassed at World Cup Final, Election Speech Flops, Iran War Spirals: A Closer Look
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Trump Booed & Embarrassed at World Cup Final, Election Speech Flops, Iran War Spirals: A Closer Look

Prove that this difference of squares is a multiple of 48
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Prove that this difference of squares is a multiple of 48

Find all natural numbers for which n^10 + n^5 +1 is prime
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Find all natural numbers for which n^10 + n^5 +1 is prime

POV: you walk into an interview and they hit you with “which number is bigger?” 3.14^pi vs pi^3.14
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POV: you walk into an interview and they hit you with “which number is bigger?” 3.14^pi vs pi^3.14

NO ONE Understood What Was Happening... Then They Started LAUGHING And It All Made Sense!
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NO ONE Understood What Was Happening... Then They Started LAUGHING And It All Made Sense!

This Exam Problem is Probably Going to Court
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This Exam Problem is Probably Going to Court

Find all integers x such that 2x^2+x-6 is the positive power of a prime
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Find all integers x such that 2x^2+x-6 is the positive power of a prime

The French Do Not Care About Work
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The French Do Not Care About Work

Is this limit actually solvable? Tricky calculus 1 limit. Reddit r/askmath
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Is this limit actually solvable? Tricky calculus 1 limit. Reddit r/askmath

Tricks Cops Use the SECOND You Roll Down Your Window
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Tricks Cops Use the SECOND You Roll Down Your Window

Find the minimum a + b + c + d
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Find the minimum a + b + c + d

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