<|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
 If 2^5, 3^3, and 10^2 are all factors of the product of 936 and a positive integer, what is the smallest possible value of that positive integer? 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
900
If 2^5, 3^3, and 10^2 are all factors of the product of 936 and a positive integer, what is the smallest possible value of that positive integer?
test