
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
\(10y\) varies directly as \(x\) and inversely as the square of \(z\). When \(y=4\), \(x=2\) and \(z=1\). Find \(y\) when \(x=8\) and \(z=4\).
**A)** \(1\)
**B)** \(4\)
**C)** \(8\)
**D)** \(16\)
**E)** \(0.5\)

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