{"status": "success", "data": {"description_md": "Real numbers $r$ and $s$ are roots of $p(x)=x^3+ax+b$, and $r+4$ and $s-3$ are roots of $q(x)=x^3+ax+b+240$. Find the sum of all possible values of $|b|$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

Real numbers r and s are roots of p(x)=x^3+ax+b, and r+4 and s-3 are roots of q(x)=x^3+ax+b+240. Find the sum of all possible values of |b|.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2014 AIME II Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/14_aime_II_p06", "prev": "/problem/14_aime_II_p04"}}