{"status": "success", "data": {"description_md": "Positive integers $a$, $a + b$, and $a + 20$ are the first three terms of a geometric sequence. What is the sum of all possible values of $a$?", "description_html": "<p>Positive integers <span class=\"katex--inline\">a</span>, <span class=\"katex--inline\">a + b</span>, and <span class=\"katex--inline\">a + 20</span> are the first three terms of a geometric sequence. What is the sum of all possible values of <span class=\"katex--inline\">a</span>?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Holiday Contest 2025 - Guts Round - Set 4 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}