
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 value of the expression:
$$\left( \frac {3}{2}\right)^{- \frac {1}{3}}\times\left(- \frac {4}{5}\right)^{0}+8^{ \frac {1}{4}}\times 42 +\left( 32 \times \sqrt {3}\right)^{6}- \sqrt {\left(- \frac {2}{3}\right)^{ \frac {2}{3}}}$$

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