
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:  
(Ⅰ) $0.25 \times \left(-\frac{1}{2}\right)^{-4} \div \left(\sqrt{5} - 1\right)^{0} - \left(\frac{1}{16}\right)^{-\frac{1}{2}}$.  
(Ⅱ) $\frac{\lg 2 + \lg 5 - \lg 8}{\lg 50 - \lg 40}$.

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