
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
(Ⅰ) Evaluate: $$3(-4)^3 - \left(\frac{1}{2}\right)^0 + 0.25^{\frac{1}{2}} \times \left(\frac{1}{\sqrt{2}}\right)^{-4};$$  
(Ⅱ) Given $5^a = 3$, $5^b = 4$. Find $a$ and $b$. Then express $\log_{25}12$ in terms of $a$ and $b$.

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