
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)\\) that is monotonically decreasing on the interval \\((-∞,+∞)\\), and \\(α\\), \\(β\\), \\(γ∈R\\) with \\(α+β > 0\\), \\(β+γ > 0\\), \\(γ+α > 0\\), try to explain the relationship between the value of \\(f(α)+f(β)+f(γ)\\) and \\(0\\).

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