
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
The positive integers  $x_1, x_2, ... , x_7$  satisfy  $x_6 = 144$ ,  $x_{n+3} = x_{n+2}(x_{n+1}+x_n)$  for  $n = 1, 2, 3, 4$ . Find  $x_7$ .

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