
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:<br/>$(1)\left(+9\right)-\left(-3\right)+1$;<br/>$(2)-3×\frac{5}{6}+(-\frac{10}{3})$;<br/>$(3)36×(\frac{1}{2}-\frac{5}{9})-|-1|$;<br/>$(4)\sqrt{(-3)^{2}}+2(\sqrt{3}+4)(\sqrt{3}≈1.732$, accurate to $0.01)$.

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