
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:  
(1) $(m+2n)-(m-2n)$  
(2) $2(x-3)-(-x+4)$  
(3) $2x-3(x-2y+3x)+2(3x-3y+2z)$  
(4) $8m^2-[4m^2-2m-4(2m^2-5m)]$

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