
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 the value of the following expressions:
(1) $\sqrt[3]{64} \times 100^{-\frac{1}{2}} \times (0.25)^{-3} \times \left(\frac{16}{81}\right)^{-\frac{3}{4}}$
(2) $2\lg\frac{5}{3} - \lg\frac{7}{4} + 2\lg3 + \frac{1}{2}\lg49$.

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