{"status": "success", "data": {"description_md": "Let $n$ be the least positive integer for which $149^n - 2^n$ is divisible by $3^3 \\cdot 5^5 \\cdot 7^7$. Find the number of positive divisors of $n$.\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 least positive integer for which <span class=\"katex--inline\">149^n - 2^n</span> is divisible by <span class=\"katex--inline\">3^3 \\cdot 5^5 \\cdot 7^7</span>. Find the number of positive divisors of <span class=\"katex--inline\">n</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": 5, "problem_name": "2020 AIME I Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_I_p13", "prev": "/problem/20_aime_I_p11"}}