Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
222
Notice that  \[31\cdot37=1147.\]Find some integer $n$ with $0\leq n<2293$ such that  \[31n\equiv 3\pmod{2293}.\]
train