
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
Let $f$ be a function defined by $f\left(\dfrac{x}{4}\right) = x^2 + 2x + 2$. Find the sum of all values of $z$ for which $f(4z) = 13$.
A) -1/8  
B) 1/8  
C) -1/4  
D) 1/4  
E) 0

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