
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 $3x - 4y - 2z = 0$ and $x + 2y - 7z = 0, z \neq 0$, find the numerical value of $\frac{x^2 - 2xy}{y^2 + 4z^2}$.
**A)** $-0.252$
**B)** $0$
**C)** $0.5$
**D)** $-1$
**E)** $2$

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