{"status": "success", "data": {"description_md": "Consider the different ways in which the number $2024$ can be expressed as the sum of a sequence of consecutive odd integers. Determine the sum of the smallest integers in each of these sequences.\n\n$\\textbf{(A)}~1003\\qquad\\textbf{(B)}~1519\\qquad\\textbf{(C)}~12\\qquad\\textbf{(D)}~8\\qquad\\textbf{(E)}~1083$", "description_html": "<p>Consider the different ways in which the number <span class=\"katex--inline\">2024</span> can be expressed as the sum of a sequence of consecutive odd integers. Determine the sum of the smallest integers in each of these sequences.</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~1003\\qquad\\textbf{(B)}~1519\\qquad\\textbf{(C)}~12\\qquad\\textbf{(D)}~8\\qquad\\textbf{(E)}~1083</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2024 Mock AMC 10 - Problem 20", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}