
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
Compose the equation of the plane passing through the line

$$
\begin{aligned}
3x + 2y + 5z + 6 &= 0 \\ 
x + 4y + 3z + 4 &= 0 
\end{aligned}
$$

and parallel to the line

$$
\frac{x-1}{3} = \frac{y-5}{2} = \frac{z+1}{-3}
$$

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