<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Let the product $(12)(15)(16)$, each factor written in base $b$, equals $3146$ in base $b$.  Let $s=12+15+16$, each term expressed in base $b$.  Calculate the value of $s$ in base $b$. Express your answer as a single value in base $b$. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
44
Let the product $(12)(15)(16)$, each factor written in base $b$, equals $3146$ in base $b$.  Let $s=12+15+16$, each term expressed in base $b$.  Calculate the value of $s$ in base $b$. Express your answer as a single value in base $b$.
test