Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
Question:
Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
Answer:
Let's think step by step.

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Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
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