{"status": "success", "data": {"description_md": "**POTD March 19, 2024**\n\nLet $f(x) = \\tfrac{x^4+5x^3+7x^2+5x+6}{x^4+3x^3+3x^2+3x+2}$. Find the absolute value of the product of all integers $x$ such that $f(f(x))$ is a positive integer.", "description_html": "<p><strong>POTD March 19, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">f(x) = \\tfrac{x^4+5x^3+7x^2+5x+6}{x^4+3x^3+3x^2+3x+2}</span>. Find the absolute value of the product of all integers <span class=\"katex--inline\">x</span> such that <span class=\"katex--inline\">f(f(x))</span> is a positive integer.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Problem of the Day #101", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}