
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 such that \( f\left(\frac{x}{2}\right) = x^2 + x + 2 \). Find the sum of all values of \( z \) for which \( f(2z) = 10 \).
A) -1/8  
B) -1/4  
C) -1/2  
D) 1/4  
E) -3/8

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