
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
Below is a portion of the graph of a function, $y=v(x)$, defined as $v(x) = 2\cos(x) - x$:

Consider the function within the interval $[-4, 4]$. What is the exact value of $v(-3) + v(-1) + v(1) + v(3)$?

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