{"status": "success", "data": {"description_md": "Of the following complex numbers $z$, which one has the property that $z^5$ has the greatest real part?\n\n$\\textbf{(A) }{-}2 \\qquad \\textbf{(B) }{-}\\sqrt3+i \\qquad \\textbf{(C) }{-}\\sqrt2+\\sqrt2 i \\qquad \\textbf{(D) }{-}1+\\sqrt3 i\\qquad \\textbf{(E) }2i$\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>Of the following complex numbers  <span class=\"katex--inline\">z</span> , which one has the property that  <span class=\"katex--inline\">z^5</span>  has the greatest real part?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }{-}2 \\qquad \\textbf{(B) }{-}\\sqrt3+i \\qquad \\textbf{(C) }{-}\\sqrt2+\\sqrt2 i \\qquad \\textbf{(D) }{-}1+\\sqrt3 i\\qquad \\textbf{(E) }2i</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": "2021 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12A_p14", "prev": "/problem/21_amc12A_p12"}}