{"status": "success", "data": {"description_md": "If the sum of all $a \\in \\mathbb{R}$ such that there exists $b,c \\in \\mathbb{R}$ which satisfy\n\n$$\n    \\begin{aligned}\n        a^4 - 4a^2 + 2 &= b \\\\\n        b^4 - 4b^2 + 2 &= c \\\\\n        c^4 - 4c^2 + 2 &= a. \\\\\n    \\end{aligned}\n$$ is $s$, find $s^4$.", "description_html": "<p>If the sum of all <span class=\"katex--inline\">a \\in \\mathbb{R}</span> such that there exists <span class=\"katex--inline\">b,c \\in \\mathbb{R}</span> which satisfy</p>&#10;<p><span class=\"katex--display\">&#10;    \\begin{aligned}&#10;        a^4 - 4a^2 + 2 &amp;= b \\\\&#10;        b^4 - 4b^2 + 2 &amp;= c \\\\&#10;        c^4 - 4c^2 + 2 &amp;= a. \\\\&#10;    \\end{aligned}&#10;</span> is <span class=\"katex--inline\">s</span>, find <span class=\"katex--inline\">s^4</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 8, "problem_name": "Hidden Polynomial", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}