{"status": "success", "data": {"description_md": "The function $6x^{12}+3x^3+2$ is divided by $x+2$, producing a quotient and a remainder. The quotient is then divided by $x+2$ again to produce another quotient and remainder. This process is repeated until the new quotient is a constant. Compute the absolute value of the sum of all the remainders that appear during this process.", "description_html": "<p>The function <span class=\"katex--inline\">6x^{12}+3x^3+2</span> is divided by <span class=\"katex--inline\">x+2</span>, producing a quotient and a remainder. The quotient is then divided by <span class=\"katex--inline\">x+2</span> again to produce another quotient and remainder. This process is repeated until the new quotient is a constant. Compute the absolute value of the sum of all the remainders that appear during this process.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "TxO Math Bowl 2024 - Team Contest - Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024team-p10", "prev": "/problem/txo2024team-p08"}}