{"status": "success", "data": {"description_md": "**POTD June 17, 2024**\n\nFind the number of integer solutions $x$ that satisfy: $$\\dfrac{(1-x)^{333}\\cdot(x+8)^{555}\\cdot(30-x)^{777}}{-(10-x)^{237}\\cdot(x+47)^{111317}\\cdot(x-9)^{91}} \\leq 0 $$", "description_html": "<p><strong>POTD June 17, 2024</strong></p>&#10;<p>Find the number of integer solutions <span class=\"katex--inline\">x</span> that satisfy: <span class=\"katex--display\">\\dfrac{(1-x)^{333}\\cdot(x+8)^{555}\\cdot(30-x)^{777}}{-(10-x)^{237}\\cdot(x+47)^{111317}\\cdot(x-9)^{91}} \\leq 0</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #190", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}