
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
In the ancient Chinese mathematical masterpiece "The Mathematical Classic of Zhang Qiujian," it is recorded: "One dou of clear wine is worth ten dou of grain, one dou of turbid wine is worth three dou of grain. Now, with 30 dou of grain, a total of 5 dou of wine is obtained. How many dou of clear and turbid wine are there?"

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