
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 "Nine Chapters on the Mathematical Art," there is a problem called "Dividing Grain in a Granary": When a granary is opened to store grain, someone brings 1536 stones of rice. Upon inspection, it is found that there are grains mixed in the rice. After taking a handful of rice as a sample, it is found that out of 256 grains, 18 are mixed grains. What is the approximate amount of mixed grains in this batch of rice?

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