
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 the following expressions:  
(1) $(-2-4i) - (-2+i) + (1+7i)$;  
(2) $(1+i)(2+i)(3+i)$;  
(3) $\frac{3+i}{2+i}$.

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