
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
When Qiqi calculated $(-2)^3+6÷(\frac{1}{2}-\frac{1}{3})$, the steps are as follows:

Original expression $=\left(-6\right)+6\div \frac{1}{2}-6\div \frac{1}{3}$①  
$=-6+12-18$②  
$=-12$③

$(1)$ Please point out the two errors in Qiqi's first step: ______, ______;  
$(2)$ Please provide the correct solution process.

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