{"status": "success", "data": {"description_md": "The expression \n\n$(x+y+z)^{2006}+(x-y-z)^{2006}$<br>is simplified by expanding it and combining like terms. How many terms are in the simplified expression?\n\n$\\mathrm{(A) \\ } 6018\\qquad \\mathrm{(B) \\ } 671,676\\qquad \\mathrm{(C) \\ } 1,007,514\\qquad \\mathrm{(D) \\ } 1,008,016\\qquad \\mathrm{(E) \\ }  2,015,028$\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 expression</p>&#10;<p> <span class=\"katex--inline\">(x+y+z)^{2006}+(x-y-z)^{2006}</span> <br/>is simplified by expanding it and combining like terms. How many terms are in the simplified expression?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 6018\\qquad \\mathrm{(B) \\ } 671,676\\qquad \\mathrm{(C) \\ } 1,007,514\\qquad \\mathrm{(D) \\ } 1,008,016\\qquad \\mathrm{(E) \\ }  2,015,028</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": "2006 AMC 12A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12A_p25", "prev": "/problem/06_amc12A_p23"}}