{"status": "success", "data": {"description_md": "Let $a_1,a_2,...,a_{2018}$ be a strictly increasing sequence of positive integers such that $$a_1+a_2+...+a_{2018}=2018^{2018}.$$ What is the remainder when $a_1^3+a_2^3+...+a_{2018}^3$ is divided by $6$?\n\n$\\textbf{(A) }0 \\qquad\n\\textbf{(B) }1 \\qquad\n\\textbf{(C) }2 \\qquad\n\\textbf{(D) }3 \\qquad\n\\textbf{(E) }4 \\qquad$", "description_html": "<p>Let <span class=\"katex--inline\">a_1,a_2,...,a_{2018}</span> be a strictly increasing sequence of positive integers such that <span class=\"katex--display\">a_1+a_2+...+a_{2018}=2018^{2018}.</span> What is the remainder when <span class=\"katex--inline\">a_1^3+a_2^3+...+a_{2018}^3</span> is divided by <span class=\"katex--inline\">6</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }0 \\qquad&#10;\\textbf{(B) }1 \\qquad&#10;\\textbf{(C) }2 \\qquad&#10;\\textbf{(D) }3 \\qquad&#10;\\textbf{(E) }4 \\qquad</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2018 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p17", "prev": "/problem/18_amc10B_p15"}}