
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
$(1)|-5|+(-1)^{2013}×(π-3.14)^{0}-(-\frac{1}{3})^{-2}$；  
$(2)(\frac{1}{4}a^{2}b)⋅(-2ab^{2})^{2}÷(-0.5a^{4}b^{5})$；  
$(3)2x\left(x-4\right)-\left(x-1\right)\left(x+3\right)$；  
$(4)\left(-a-3b\right)^{2}$.

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