{"status": "success", "data": {"description_md": "For a real number $x$, define $\\heartsuit(x)$ to be the average of $x$ and $x^2$. What is $\\heartsuit(1)+\\heartsuit(2)+\\heartsuit(3)$?\n\n$\\textbf{(A)}\\ 3\n\\qquad\n\\textbf{(B)}\\ 6\n\\qquad\n\\textbf{(C)}\\ 10\n\\qquad\n\\textbf{(D)}\\ 12\n\\qquad\n\\textbf{(E)}\\ 20$", "description_html": "<p>For a real number  <span class=\"katex--inline\">x</span> , define  <span class=\"katex--inline\">\\heartsuit(x)</span>  to be the average of  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">x^2</span> . What is  <span class=\"katex--inline\">\\heartsuit(1)+\\heartsuit(2)+\\heartsuit(3)</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 3\n\\qquad\n\\textbf{(B)}\\ 6\n\\qquad\n\\textbf{(C)}\\ 10\n\\qquad\n\\textbf{(D)}\\ 12\n\\qquad\n\\textbf{(E)}\\ 20</span> </p>\n<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": 1, "problem_name": "2010 AMC 10B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10B_p05", "prev": "/problem/10_amc10B_p03"}}