
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
Let  $a,b,c>0$  such that  $a \geq bc^2$  ,  $b \geq ca^2$  and  $c \geq ab^2$  . Find the maximum value that the expression :  $$ E=abc(a-bc^2)(b-ca^2)(c-ab^2) $$   can acheive.

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