{"status": "success", "data": {"description_md": "**POTD Challenge December 15, 2023**\n\nFind the number of solutions $(a, b, c)$ to the following system of equations:\n$a^2 + ab + c = 0,$\n$b^2 + bc + a = 0,$\n$c^2 + ca + b = 0.$", "description_html": "<p><strong>POTD Challenge December 15, 2023</strong></p>&#10;<p>Find the number of solutions <span class=\"katex--inline\">(a, b, c)</span> to the following system of equations:<br/>&#10;<span class=\"katex--inline\">a^2 + ab + c = 0,</span><br/>&#10;<span class=\"katex--inline\">b^2 + bc + a = 0,</span><br/>&#10;<span class=\"katex--inline\">c^2 + ca + b = 0.</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Problem of the Day #26 (Challenge)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}