{"status": "success", "data": {"description_md": "Let $a$ and $b$ be integers such that $(a+29)b + 10788 + 372a \\equiv  10 \\pmod{11}$ and $a \\equiv  3 \\pmod{11}$. Determine the remainder when $b$ is divided by $11$.", "description_html": "<p>Let <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> be integers such that <span class=\"katex--inline\">(a+29)b + 10788 + 372a \\equiv  10 \\pmod{11}</span> and <span class=\"katex--inline\">a \\equiv  3 \\pmod{11}</span>. Determine the remainder when <span class=\"katex--inline\">b</span> is divided by <span class=\"katex--inline\">11</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Mock Euclid 2025 - Problem 6 Part A", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}