{"status": "success", "data": {"description_md": "For how many positive integers $m$ does there exist at least one positive integer $n$ such that $m \\cdot n \\le m + n$?\n\n$\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 6\\qquad \\mathrm{(C) \\ } 9\\qquad \\mathrm{(D) \\ } 12\\qquad \\mathrm{(E) \\ }$  infinitely many\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>For how many positive integers  <span class=\"katex--inline\">m</span>  does there exist at least one positive integer  <span class=\"katex--inline\">n</span>  such that  <span class=\"katex--inline\">m \\cdot n \\le m + n</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 6\\qquad \\mathrm{(C) \\ } 9\\qquad \\mathrm{(D) \\ } 12\\qquad \\mathrm{(E) \\ }</span>   infinitely many</p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2002 AMC 12A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p07", "prev": "/problem/02_amc12A_p05"}}