What is the smallest positive integer $n$ such that $n$ has remainder 1 when divided by 3, $n$ has remainder 1 when divided by 4, and $n$ has remainder 4 when divided by 5?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the smallest positive integer $n$ such that $n$ has remainder 1 when divided by 3, $n$ has remainder 1 when divided by 4, and $n$ has remainder 4 when divided by 5?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
49
What is the smallest positive integer $n$ such that $n$ has remainder 1 when divided by 3, $n$ has remainder 1 when divided by 4, and $n$ has remainder 4 when divided by 5?
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