HF RL Explorer

Task 820

Task 820: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $x 1,$ $x 2,$ $x 3,$ $x 4,$ $x 5$ be the roots of the polynomial $f(x) = x^5 + x^2 + 1,$ and let $g(x) = x^2 - 2.$ Find \ g(x 1) g(x 2) g(x 3) g(x 4) g(x 5).\

The task

Let $x_1,$ $x_2,$ $x_3,$ $x_4,$ $x_5$ be the roots of the polynomial $f(x) = x^5 + x^2 + 1,$ and let $g(x) = x^2 - 2.$ Find \[g(x_1) g(x_2) g(x_3) g(x_4) g(x_5).\]