
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
If \(x \neq 0\), \(z \neq 0\), \(\frac{x}{2} = y^2 + z\) and \(\frac{x}{4} = 4y + 2z\), then find the value of \(x\).
A) 80
B) 100
C) 120
D) 140
E) 160

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