USAMO 2005 Problem 2
- Day 1
Prove that the system \begin{align*} x^6+x^3+x^3y+y & = 147^{157} x^3+x^3y+y^2+y+z^9 & = 157^{147} \end{align*} has no solutions in integers , , and .
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.