{"task": {"agent_timeout": 600, "task": "omnimath_2358", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nLet \\(ABCD\\) be a square of side length 2. Let points \\(X, Y\\), and \\(Z\\) be constructed inside \\(ABCD\\) such that \\(ABX, BCY\\), and \\(CDZ\\) are equilateral triangles. Let point \\(W\\) be outside \\(ABCD\\) such that triangle \\(DAW\\) is equilateral. Let the area of quadrilateral \\(WXYZ\\) be \\(a+\\sqrt{b}\\), where \\(a\\) and \\(b\\) are integers. Find \\(a+b\\).\n\n## Instructions\n\nSolve the mathematical problem above and write your final answer to `/workspace/answer.txt`.\n\n**Important**: Write only your final answer to the file, not the full solution process.\n\n### Guidelines\n\n- Provide your final numerical answer or mathematical expression\n- Write the answer as plain text (no special formatting needed)\n- Be precise and clear in your answer\n- The answer should directly respond to what the problem asks for\n\n### Example\n\nIf the problem asks \"What is 2 + 2?\", your answer file should contain:\n\n```\n4\n```\n\nYour answer will be evaluated against the correct solution using an automated grading system.\n", "memory": "", "runnable": false, "difficulty": "hard", "language": "", "cpus": "", "instruction_truncated": false, "category": "math", "compose": false, "has_solution": true, "oracle": null, "docker_image": "", "taskset": "omnimath", "tags": ["omni-math"]}, "runs": []}