HF RL Explorer

Task 853

Task 853: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The graphs of $y = x^3 - 3x + 2$ and $x + 4y = 4$ intersect in the points $(x 1,y 1),$ $(x 2,y 2),$ and $(x 3,y 3).$ If $x 1 + x 2 + x 3 = A$ and $y 1 + y 2 + y 3 = B,$ compute the ordered pair $(A,B).$

The task

The graphs of $y = x^3 - 3x + 2$ and $x + 4y = 4$ intersect in the points $(x_1,y_1),$ $(x_2,y_2),$ and $(x_3,y_3).$ If $x_1 + x_2 + x_3 = A$ and $y_1 + y_2 + y_3 = B,$ compute the ordered pair $(A,B).$