question stringclasses 30 values | model_answer stringlengths 1 333k | ground_truth stringclasses 30 values | is_correct bool 2 classes | confs listlengths 1.41k 64k | ID stringclasses 1 value | Year stringclasses 1 value | Problem Number stringclasses 1 value |
|---|---|---|---|---|---|---|---|
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.9027911424636841,-0.5277911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.9027911424636841,-0.5277911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.9027911424636841,-0.5277911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) | |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 70 | true | [[-0.5277911424636841,-0.9027911424636841,-5.5277910232543945,-8.527791023254395,-9.777791023254395](...TRUNCATED) |
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