question
stringclasses 30
values | model_answer
stringclasses 323
values | ground_truth
stringclasses 30
values | is_correct
bool 2
classes | confs
listlengths 3.32k
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
| [[-4.887569048150908e-6,-12.250004768371582,-16.8750057220459,-17.8750057220459,-18.1250057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-4.887569048150908e-6,-12.250004768371582,-16.8750057220459,-17.8750057220459,-18.1250057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-4.887569048150908e-6,-12.250004768371582,-16.8750057220459,-17.8750057220459,-18.1250057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-4.887569048150908e-6,-12.250004768371582,-16.8750057220459,-17.8750057220459,-18.1250057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-4.887569048150908e-6,-12.250004768371582,-16.8750057220459,-17.8750057220459,-18.1250057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-5.602820692729438e-6,-12.125005722045898,-16.7500057220459,-17.7500057220459,-17.8750057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-6.318072337307967e-6,-12.000006675720215,-16.6250057220459,-17.7500057220459,-17.7500057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-5.602820692729438e-6,-12.125005722045898,-17.0000057220459,-17.8750057220459,-18.0000057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-5.602820692729438e-6,-12.125005722045898,-16.6250057220459,-17.6250057220459,-17.7500057220459],[(...TRUNCATED)
| |||
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
|
70
|
70
| true
| [[-6.318072337307967e-6,-12.000006675720215,-16.7500057220459,-17.6250057220459,-17.7500057220459],[(...TRUNCATED)
|
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