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Omni-MATH / Let a star b=ab-2. Compute the remainder when (((579 star 569) star 559) star cdots star 19) star 9 is divided by 100.

Problem

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problem

Let $a \star b=ab-2$. Compute the remainder when $(((579 \star 569) \star 559) \star \cdots \star 19) \star 9$ is divided by 100.
Plain-text mathematical notation (without MathML)
Let $a \star b=ab-2$. Compute the remainder when $(((579 \star 569) \star 559) \star \cdots \star 19) \star 9$ is divided by 100.
Original LaTeX notation
Let $a \star b=ab-2$. Compute the remainder when $(((579 \star 569) \star 559) \star \cdots \star 19) \star 9$ is divided by 100.

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Source and history

task_id
35d883d6-6631-57a0-8fc3-0ec12333a092
task_key
test--35d883d6-6631-57a0-8fc3-0ec12333a092
task_revision_id
1
config / split
/ test

Official source

initial import