HF RL Explorer

Task 703

Task 703: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The polynomial \ ax^4 + bx^3 + cx^2 + dx + e = 0\ has coefficients that are all integers, and has roots $-2,$ $5,$ $9,$ and $-1/3.$ If $e$ is a positive integer, then find its smallest possible value.

The task

The polynomial \[ax^4 + bx^3 + cx^2 + dx + e = 0\]has coefficients that are all integers, and has roots $-2,$ $5,$ $9,$ and $-1/3.$ If $e$ is a positive integer, then find its smallest possible value.