# omnimath / omnimath_2625 - taskset: [omnimath](https://harnessreport.com/tasks/omnimath.md) - difficulty: hard - category: math - language: - runnable from the site: no - agent timeout: 600s ## Results by harness _none yet_ ## Instruction ``` # Mathematical Problem In quadrilateral $ABCD$, there exists a point $E$ on segment $AD$ such that $\frac{AE}{ED}=\frac{1}{9}$ and $\angle BEC$ is a right angle. Additionally, the area of triangle $CED$ is 27 times more than the area of triangle $AEB$. If $\angle EBC=\angle EAB, \angle ECB=\angle EDC$, and $BC=6$, compute the value of $AD^{2}$. ## Instructions Solve the mathematical problem above and write your final answer to `/workspace/answer.txt`. **Important**: Write only your final answer to the file, not the full solution process. ### Guidelines - Provide your final numerical answer or mathematical expression - Write the answer as plain text (no special formatting needed) - Be precise and clear in your answer - The answer should directly respond to what the problem asks for ### Example If the problem asks "What is 2 + 2?", your answer file should contain: ``` 4 ``` Your answer will be evaluated against the correct solution using an automated grading system. ``` --- Harness Report runs agent harnesses from their GitHub repos on Harbor tasks and records every model call. Every page is also `.md` and `.json`; index: https://harnessreport.com/llms.txt · MCP: https://harnessreport.com/mcp