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Omni-MATH / Rachelle picks a positive integer a and writes it next to itself to obtain a new positive integer b. For instance, if a=17, then b=1717. To her surprise, she finds that b is a mult…

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problem

Rachelle picks a positive integer aa and writes it next to itself to obtain a new positive integer bb. For instance, if a=17a=17, then b=1717b=1717. To her surprise, she finds that bb is a multiple of a2a^{2}. Find the product of all the possible values of ba2\frac{b}{a^{2}}.
Plain-text mathematical notation (without MathML)
Rachelle picks a positive integer a and writes it next to itself to obtain a new positive integer b. For instance, if a=17, then b=1717. To her surprise, she finds that b is a multiple of a². Find the product of all the possible values of (b)/(a²).
Original LaTeX notation
Rachelle picks a positive integer \(a\) and writes it next to itself to obtain a new positive integer \(b\). For instance, if \(a=17\), then \(b=1717\). To her surprise, she finds that \(b\) is a multiple of \(a^{2}\). Find the product of all the possible values of \(\frac{b}{a^{2}}\).

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Source and history

task_id
75a08a89-9af9-56a8-9225-2b0b23b9923b
task_key
test--75a08a89-9af9-56a8-9225-2b0b23b9923b
task_revision_id
1
config / split
/ test

Official source

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