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AIME 2025 I / Find the sum of all integer bases b>9 for which 17_(b) is a divisor of…

Problem

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question

Find the sum of all integer bases

b>9

for which

17_{b}

is a divisor of

97_{b}

Plain-text mathematical notation (without MathML)

Find the sum of all integer bases b>9 for which 17_(b) is a divisor of 97_(b).

Original LaTeX notation

Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.

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Source and history

task_id: 0b0a0131-4823-57d9-9e44-3f5bab0078ff
task_key: AIME2025~2dI--test--0b0a0131-4823-57d9-9e44-3f5bab0078ff
task_revision_id: 2
config / split: AIME2025-I / test

Official source

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