{"status": "success", "data": {"description_md": "**Full credit goes to the staff team at Canada Math for authoring these problems.**\n\nDefine $f:\\mathbb{Z}\\rightarrow\\mathbb{Z}$ with $f(x) =\\sum\\limits_{i=0}^{17} x^i$. Let $m_x$ be the remainder when $f(x)$ is divided by $17$. Find $\\sum\\limits_{\\alpha = 1}^{16} \\alpha \\cdot m_\\alpha.$", "description_html": "<p><strong>Full credit goes to the staff team at Canada Math for authoring these problems.</strong></p>&#10;<p>Define <span class=\"katex--inline\">f:\\mathbb{Z}\\rightarrow\\mathbb{Z}</span> with <span class=\"katex--inline\">f(x) =\\sum\\limits_{i=0}^{17} x^i</span>. Let <span class=\"katex--inline\">m_x</span> be the remainder when <span class=\"katex--inline\">f(x)</span> is divided by <span class=\"katex--inline\">17</span>. Find <span class=\"katex--inline\">\\sum\\limits_{\\alpha = 1}^{16} \\alpha \\cdot m_\\alpha.</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Canada Math Contest #2 - Problem 10", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}