
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
A new factory, TechGears, started producing widgets in January with an initial production of 10 widgets. Each subsequent month, the factory managed to increase its production to three times that of the previous month. Calculate the total number of widgets produced by the end of June that year.

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