{"status": "success", "data": {"description_md": "Given a polynomial $x^5+ax^3+bx^2+cx+2024$ with only integer roots, find the sum of all possible values of $a+b+c$.", "description_html": "<p>Given a polynomial <span class=\"katex--inline\">x^5+ax^3+bx^2+cx+2024</span> with only integer roots, find the sum of all possible values of <span class=\"katex--inline\">a+b+c</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "TxO Math Bowl 2024 - Team Contest - Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024team-p13", "prev": "/problem/txo2024team-p11"}}