
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

1. $(1) \left(2\frac{3}{5}\right)^{0} + 2^{-2} \cdot \left(2\frac{1}{4}\right)^{-\frac{1}{2}} - (0.01)^{0.5}$;

2. $(2) \left( \frac{1}{2} \right)^{-1} + \log_{0.5}4$

3. $(3) \lg^2 5 + \lg 2 \cdot \lg 5 + \lg 2$

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