
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
\[
\left(-4 a^{3} \sqrt{\frac{\sqrt{a x}}{a^{2}}}\right)^{3}+\left(-10 a \sqrt{x} \cdot \sqrt{(a x)^{-1}}\right)^{2}+\left(-2\left(\sqrt[3]{a^{4} \sqrt{\frac{x}{a}}}\right)^{2}\right)^{3} ;
\]

Given:
\[
a=3 \frac{4}{7} ; \quad x=0.28
\]

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