
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. $(1)(5-6i)+(-2-2i)-(3+3i)$  
2. $(- \frac {1}{2}+ \frac { \sqrt {3}}{2}i)(2-i)(3+i)$  
3. $\frac {(\sqrt {2}+ \sqrt {2i})2(4+5i)}{(5-4i)(1-i)}$

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