
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
The function \( f \) is such that \( f(x+2y) - f(3x-2y) = 2y - x \) for all \( x, y \). Find all possible values of the expression \(\frac{f(5t) - f(t)}{f(4t) - f(3t)}\).

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