
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
Determine the equation of the plane that passes through the point \((1, 4, -3)\) and contains the line
\[\frac{x - 2}{4} = \frac{y + 1}{-5} = \frac{z - 1}{2}.\]
Express your answer 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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