{"status": "success", "data": {"description_md": "Let $P$ be a cubic polynomial with $P(0) = k$, $P(1) = 2k$, and $P(-1) = 3k$.  What is $P(2) + P(-2)$ ?\n\n$\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ k\\qquad\\textbf{(C)}\\ 6k\\qquad\\textbf{(D)}\\ 7k\\qquad\\textbf{(E)}\\ 14k$\n___\nFull 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\">P</span>  be a cubic polynomial with  <span class=\"katex--inline\">P(0) = k</span> ,  <span class=\"katex--inline\">P(1) = 2k</span> , and  <span class=\"katex--inline\">P(-1) = 3k</span> .  What is  <span class=\"katex--inline\">P(2) + P(-2)</span>  ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ k\\qquad\\textbf{(C)}\\ 6k\\qquad\\textbf{(D)}\\ 7k\\qquad\\textbf{(E)}\\ 14k</span> </p>&#10;<hr><p>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": 3, "problem_name": "2014 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p17", "prev": "/problem/14_amc12B_p15"}}