
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
Calculate the following:<br/>$(1)\left(-2\right)^{2}-\left(3-5\right)-\sqrt{4}+2×3$;<br/>$(2)\sqrt[3]{64}-\sqrt{9}+|\sqrt{2}-1|+(-1)^{3}$.

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