{"task": {"agent_timeout": 600, "task": "omnimath_2970", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nReading from left to right, a sequence consists of 6 X's, followed by 24 Y's, followed by 96 X's. After the first \\(n\\) letters, reading from left to right, one letter has occurred twice as many times as the other letter. What is the sum of the four possible values of \\(n\\)?\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": []}