
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
Two planes $x + y + z = 1$ and $x + 3y - z = 2$ intersect along line $R$. Another plane $Q$, different from the first two, passes through line $R$ and is at a distance of $\frac{3}{\sqrt{14}}$ from the point $(2, 1, 0)$. Find the equation of plane $Q$ in the form \[Ax + By + Cz + D = 0,\] where $A$, $B$, $C$, and $D$ are integers with $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1$.

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