
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
When the polynomial \(x^4 - 4x^3 + 13x^2 - 18x + 5\) is divided by \(x^2 - x + k\), the remainder is \(2x + a\). Find the ordered pair \((k, a)\).

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