{"status": "success", "data": {"description_md": "**POTD June 28, 2024**\n\nIf $(a^3+a^2-12a)x^2 + (a^4-10a^3+35a^2-50a+24)x-(a^5-15a^4+90a^3-270a^2+405a-243) = 0$ has more than $2$ solutions of $x$ for $a \\in \\mathbb{Z}$, find $a$.", "description_html": "<p><strong>POTD June 28, 2024</strong></p>&#10;<p>If <span class=\"katex--inline\">(a^3+a^2-12a)x^2 + (a^4-10a^3+35a^2-50a+24)x-(a^5-15a^4+90a^3-270a^2+405a-243) = 0</span> has more than <span class=\"katex--inline\">2</span> solutions of <span class=\"katex--inline\">x</span> for <span class=\"katex--inline\">a \\in \\mathbb{Z}</span>, find <span class=\"katex--inline\">a</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #201", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}