
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Ancient China's "The Mathematical Classic of Sunzi" recorded a mathematical problem as follows: "Three people share a car, and two cars are empty; two people share a car, and nine people walk. How many cars are there?" This means "Every 3 people share a car, leaving 2 cars in the end; every 2 people share a car, leaving 9 people without a car to ride. The number of cars is ______.

Present the answer in LaTex format: \boxed{Your answer}
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