
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
Given an odd function \( f(x) \) and an even function \( g(x) \) defined on \( \mathbb{R} \) that satisfy \( f(x) + g(x) = a^{x} - a^{-x} + 2 \) (where \( a > 0 \) and \( a \neq 1 \)), and if \( g(2014) = a \), calculate \( f(-2015) \).

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