{"messages": [{"content": "How many distinct words of length 8 can be formed from {\"x\": 7,\"y\": 7,\"z\": 6}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6542", "dataset": "MATH"} {"messages": [{"content": "How many distinct words of length 12 can be formed from {\"p\": 12,\"q\": 11,\"r\": 11}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531439", "dataset": "MATH"} {"messages": [{"content": "How many distinct words of length 9 can be formed from {\"m\": 8,\"n\": 9,\"o\": 7}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19663", "dataset": "MATH"} {"messages": [{"content": "How many distinct words of length 12 can be formed from {\"d\": 11,\"e\": 10,\"f\": 11}? 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