{"status": "success", "data": {"description_md": "The graph of $y=x^6-10x^5+29x^4-4x^3+ax^2$ lies above the line $y=bx+c$ except at three values of $x$, where the graph and the line intersect. What is the largest of these values?\n\n$\\textbf{(A)}\\ 4 \\qquad \\textbf{(B)}\\ 5 \\qquad \\textbf{(C)}\\ 6 \\qquad \\textbf{(D)}\\ 7 \\qquad \\textbf{(E)}\\ 8$\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>The graph of  <span class=\"katex--inline\">y=x^6-10x^5+29x^4-4x^3+ax^2</span>  lies above the line  <span class=\"katex--inline\">y=bx+c</span>  except at three values of  <span class=\"katex--inline\">x</span> , where the graph and the line intersect. What is the largest of these values?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 4 \\qquad \\textbf{(B)}\\ 5 \\qquad \\textbf{(C)}\\ 6 \\qquad \\textbf{(D)}\\ 7 \\qquad \\textbf{(E)}\\ 8</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": 5, "problem_name": "2010 AMC 12A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12A_p22", "prev": "/problem/10_amc12A_p20"}}