Notice that  \[35\cdot40=1400.\]Find some integer $n$ with $0\leq n<1399$ such that $n$ is the multiplicative inverse to 160 modulo 1399.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Notice that  \[35\cdot40=1400.\]Find some integer $n$ with $0\leq n<1399$ such that $n$ is the multiplicative inverse to 160 modulo 1399.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1058
Notice that  \[35\cdot40=1400.\]Find some integer $n$ with $0\leq n<1399$ such that $n$ is the multiplicative inverse to 160 modulo 1399.
train