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MathNet 2014 Question 92

Math Olympiad Vault · MathNet 2014

Question 92

Each letter of the word OHRID corresponds to a different digit belonging to the set $\{1,2,3,4,5\}$. Decipher the equality $$(O+H+R+I+D)^2 : (O-H-R+I+D) = O^{H^{R^{I_{D}}}}.$$