AT-OEMO-REG 2012 Problem 1

Prove that the inequality $a + a^3 - a^4 - a^6 < 1$ holds for all real numbers $a$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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