Task 733
Task 733: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The function $f$ satisfies \ f(x) + f(2x+y) + 5xy = f(3x - y) + 2x^2 + 1 \ for all real numbers $x,y$. Determine the value of $f(10)$.
The task
The function $f$ satisfies \[ f(x) + f(2x+y) + 5xy = f(3x - y) + 2x^2 + 1 \]for all real numbers $x,y$. Determine the value of $f(10)$.