{"status": "success", "data": {"description_md": "Let $x, y, z$ be rational numbers satisfying:\n\n$$x^3 + 6x^2y + 3x^2z + 9xyz = 152 $$\n\n$$2y^3 + 3xy^2 + 3y^2z = 20 $$\n\n$$z^3 + 3xz^2 + 6yz^2 + 3xyz = 280 $$\n\n   Compute $x + y + z$.", "description_html": "<p>Let <span class=\"katex--inline\">x, y, z</span> be rational numbers satisfying:</p>&#10;<p><span class=\"katex--display\">x^3 + 6x^2y + 3x^2z + 9xyz = 152</span></p>&#10;<p><span class=\"katex--display\">2y^3 + 3xy^2 + 3y^2z = 20</span></p>&#10;<p><span class=\"katex--display\">z^3 + 3xz^2 + 6yz^2 + 3xyz = 280</span></p>&#10;<p>Compute <span class=\"katex--inline\">x + y + z</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "TxO Math Bowl 2024 - Individuals B - Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024indivsB-p11", "prev": "/problem/txo2024indivsB-p09"}}