
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
(1) Calculate: $\left(- \frac{1}{3}\right)^{-1}+\left(2015- \sqrt{3}\right)^{0}-4\sin 60^{\circ}+\left|- \sqrt{12}\right| $

(2) Simplify first, then evaluate: $\left( \frac{1}{a+b}- \frac{1}{a-b}\right)\div \frac{b}{{a}^{2}-2ab+{b}^{2}} $

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