
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 numerical function \( f \) is such that for any \( x \) and \( y \), the equality \( f(x+y) = f(x) + f(y) + 80xy \) holds. Find \( f(1) \) if \( f(0.25) = 2 \).

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