
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 finite arithmetic sequence \(\{a_{n}\}\) has the first term \(a_1 = 1\) and the common difference of 2. The arithmetic mean of all its terms is 2015. If one term is removed and the arithmetic mean of the remaining terms is an integer, how many methods are there to remove the term?

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