{"status": "success", "data": {"description_md": "Consider polynomials $P(x)$ of degree at most $3$, each of whose coefficients is an element of $\\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\}$. How many such polynomials satisfy $P(-1) = -9$?\n\n$\\textbf{(A) } 110 \\qquad \\textbf{(B) } 143 \\qquad \\textbf{(C) } 165 \\qquad \\textbf{(D) } 220 \\qquad \\textbf{(E) } 286$\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>Consider polynomials  <span class=\"katex--inline\">P(x)</span>  of degree at most  <span class=\"katex--inline\">3</span> , each of whose coefficients is an element of  <span class=\"katex--inline\">\\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\}</span> . How many such polynomials satisfy  <span class=\"katex--inline\">P(-1) = -9</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 110 \\qquad \\textbf{(B) } 143 \\qquad \\textbf{(C) } 165 \\qquad \\textbf{(D) } 220 \\qquad \\textbf{(E) } 286</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": "2018 AMC 12B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12B_p23", "prev": "/problem/18_amc12B_p21"}}