
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 a Bashkir village, each resident speaks either Bashkir, Russian, or both languages. There are 912 residents who speak Bashkir, 653 who speak Russian, and 435 who speak both languages. How many residents are there in this village?

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