{"status": "success", "data": {"description_md": "The sum of all integer values of $a$ for which $\\dfrac{2a^2+30a+114}{a^2+15a+56}$ is an integer can be written as $N$, where $N$ is an  integer. Find $|N|$.", "description_html": "<p>The sum of all integer values of <span class=\"katex--inline\">a</span> for which <span class=\"katex--inline\">\\dfrac{2a^2+30a+114}{a^2+15a+56}</span> is an integer can be written as <span class=\"katex--inline\">N</span>, where <span class=\"katex--inline\">N</span> is an  integer. Find <span class=\"katex--inline\">|N|</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Christmas Contest - Team Round - Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p09", "prev": "/problem/christmas1_team-p07"}}