{"status": "success", "data": {"description_md": "Find the number of sets $\\{a,b,c\\}$ of three distinct positive integers with the property that the product of $a,b,$ and $c$ is equal to the product of $11,21,31,41,51,$ and $61$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Find the number of sets <span class=\"katex--inline\">\\{a,b,c\\}</span> of three distinct positive integers with the property that the product of <span class=\"katex--inline\">a,b,</span> and <span class=\"katex--inline\">c</span> is equal to the product of <span class=\"katex--inline\">11,21,31,41,51,</span> and <span class=\"katex--inline\">61</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 4, "problem_name": "2016 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/16_aime_II_p09", "prev": "/problem/16_aime_II_p07"}}