{"status": "success", "data": {"description_md": "The simplified solution to the equation $z^3 = 1 + i,$ where $i = \\sqrt{-1}$ can be written in the form: $$\\large{a}^{\\frac{b}{c}}\\cdot e^{\\frac{i(d+fk)\\pi}{g}}, $$ where $a, b, c, d, f, g \\in \\mathbb{Z}$. Find $a+b+c+d+f+g$.", "description_html": "<p>The simplified solution to the equation <span class=\"katex--inline\">z^3 = 1 + i,</span> where <span class=\"katex--inline\">i = \\sqrt{-1}</span> can be written in the form: <span class=\"katex--display\">\\large{a}^{\\frac{b}{c}}\\cdot e^{\\frac{i(d+fk)\\pi}{g}}, </span> where <span class=\"katex--inline\">a, b, c, d, f, g \\in \\mathbb{Z}</span>. Find <span class=\"katex--inline\">a+b+c+d+f+g</span>.</p>&#10;", "hints_md": "**Abraham de Moivre**  [FRS](https://en.wikipedia.org/wiki/Fellow_of_the_Royal_Society \"Fellow of the Royal Society\") (French pronunciation:  [[ab\u0281aam  d\u0259  mwav\u0281]](https://en.wikipedia.org/wiki/Help:IPA/French \"Help:IPA/French\"); 26 May 1667 \u2013 27 November 1754) was a French mathematician.", "hints_html": "<p><strong>Abraham de Moivre</strong>  <a href=\"https://en.wikipedia.org/wiki/Fellow_of_the_Royal_Society\" title=\"Fellow of the Royal Society\">FRS</a> (French pronunciation:  <a href=\"https://en.wikipedia.org/wiki/Help:IPA/French\" title=\"Help:IPA/French\">[ab&#641;aam  d&#601;  mwav&#641;]</a>; 26 May 1667 &#8211; 27 November 1754) was a French mathematician.</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "The French Solution", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}