
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
If $\tan\left(\alpha+ \frac {\pi}{3}\right)=2 \sqrt {3}$, then the value of $\tan\left(\alpha- \frac {2\pi}{3}\right)$ is \_\_\_\_\_\_, and the value of $2\sin^2\alpha-\cos^2\alpha$ is \_\_\_\_\_\_.

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