
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
Read the following material: Calculate $50\div (\frac{1}{3}-\frac{1}{4}+\frac{1}{12})$.  
Solution 1: Original expression $=50\div \frac{1}{3}-50\div \frac{1}{4}+50\div \frac{1}{12}=50\times 3-50\times 4+50\times 12=550$.  
Solution 2: Original expression $=50\div (\frac{4}{12}-\frac{3}{12}+\frac{1}{12})=50\div \frac{2}{12}=50\times 6=300$.  
Solution 3: The reciprocal of the original expression is $(\frac{1}{3}-\frac{1}{4}+\frac{1}{12})\div 50$  
$=(\frac{1}{3}-\frac{1}{4}+\frac{1}{12})\times \frac{1}{50}=\frac{1}{3}\times \frac{1}{50}-\frac{1}{4}\times \frac{1}{50}+\frac{1}{12}\times \frac{1}{50}=\frac{1}{300}$.  
Therefore, the original expression $=300$.  
The results obtained above are different, there must be an incorrect solution. Which solution do you think is wrong? Please choose the appropriate solution to answer the following question:  
Calculate: $(-\frac{1}{42})\div (\frac{1}{6}-\frac{3}{14}+\frac{2}{3}-\frac{2}{7})$

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