
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 construction team is building a railway tunnel. When $\frac{1}{3}$ of the task is completed, the team starts using new equipment, which increases the construction speed by $20\%$ but shortens the daily work time to $\frac{4}{5}$ of the original time for equipment maintenance. As a result, the project is completed in a total of 185 days. Based on these conditions, determine how many days it would take to complete the project without using the new equipment.

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