
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
Find the algebraic complements of the elements $a_{13}$, $a_{21}$, and $a_{31}$ of the determinant

$$
D=\left|\begin{array}{rrr}
-1 & 2 & 3 \\
2 & 0 & -3 \\
3 & 2 & 5
\end{array}\right|
$$

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