{"status": "success", "data": {"description_md": "Let $n$ be the smallest positive integer that is a multiple of $75$ and has exactly $75$ positive integral divisors, including $1$ and itself. Find $n/75$.\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>Let <span class=\"katex--inline\">n</span> be the smallest positive integer that is a multiple of <span class=\"katex--inline\">75</span> and has exactly <span class=\"katex--inline\">75</span> positive integral divisors, including <span class=\"katex--inline\">1</span> and itself. Find <span class=\"katex--inline\">n/75</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": 3, "problem_name": "1990 AIME Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/90_aime_p06", "prev": "/problem/90_aime_p04"}}