
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
Compute
\begin{align*}
(1) &\quad 2\sin 45^{\circ}-(\pi-\sqrt{5})^{0}+\left(\frac{1}{2}\right)^{-1}+\lvert\sqrt{2}-1\rvert, \\
(2) &\quad (2a+3b)(3a-2b).
\end{align*}

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