<|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
 Observe the following equations: $23=3+5$, $33=7+9+11$, $43=13+15+17+19$, $53=21+23+25+27+29$, ..., if a similar method is used to decompose $m^3$ and the last number on the right side of the equation is 131, then the positive integer $m$ equals \_\_\_\_\_\_\_\_. 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
11
Observe the following equations: $23=3+5$, $33=7+9+11$, $43=13+15+17+19$, $53=21+23+25+27+29$, ..., if a similar method is used to decompose $m^3$ and the last number on the right side of the equation is 131, then the positive integer $m$ equals \_\_\_\_\_\_\_\_.
test