<|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
 A cube has 6 faces painted with different colors - red, blue, green, yellow, orange, and purple. The cube is then cut into 125 equal smaller cubes. How many smaller cubes have both red and blue, blue and green, and green and yellow colors on their faces, respectively? 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
3
A cube has 6 faces painted with different colors - red, blue, green, yellow, orange, and purple. The cube is then cut into 125 equal smaller cubes. How many smaller cubes have both red and blue, blue and green, and green and yellow colors on their faces, respectively?
test