olymmath

HMMT 2017 U4

  • Guts
  • Answer

Find the number of ordered triples of nonnegative integers (a,b,c)(a, b, c) that satisfy

(ab+1)(bc+1)(ca+1)=84.(a b+1)(b c+1)(c a+1)=84 .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

12

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2017/u4 · Tag 8RMJBTQVKW · Edit this page on GitHub · Keys: j next, k previous