{"task": {"agent_timeout": 600, "task": "omnimath_3066", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nSuppose that $R, S$ and $T$ are digits and that $N$ is the four-digit positive integer $8 R S T$. That is, $N$ has thousands digit 8, hundreds digit $R$, tens digits $S$, and ones (units) digit $T$, which means that $N=8000+100 R+10 S+T$. Suppose that the following conditions are all true: - The two-digit integer $8 R$ is divisible by 3. - The three-digit integer $8 R S$ is divisible by 4. - The four-digit integer $8 R S T$ is divisible by 5. - The digits of $N$ are not necessarily all different. What is the number of possible values for the integer $N$?\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": []}