olymmath

JBMO-SL 2014 N1

  • Answer

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

Dataset text NuminaMath olympiads. Quoted with source.

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(p, q, r) = (5, 3, 19)

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