
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
One line is parameterized by
\[\begin{pmatrix} 2 + s \\ 4 - ks \\ 3 + ks \end{pmatrix}.\]
Another line is parameterized by
\[\begin{pmatrix} t/3 \\ 2 + t \\ 5 - t \end{pmatrix}.\]
If the lines are coplanar, then find \(k\).

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