
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
Complete the square for the following expressions:  
$x^2+8x$ = $(x+\ )^2$;  
$x^2-10x$ = $(x+\ )^2$  
$x^2-5x$ = $(x-\ )^2$;  
$x^2-9x$ = $(x-\ )^2$.

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