
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) Calculate: $(5\dfrac{1}{16})^{0.5} - 2 \times (2\dfrac{10}{27})^{-\frac{2}{3}} - 2 \times (\sqrt{2+\pi})^{0} \div (\dfrac{3}{4})^{-2}$;
(2) Calculate: $\log_{5}35 + 2\log_{0.5}\sqrt{2} - \log_{5}\dfrac{1}{50} - \log_{5}14 + 5^{\log_{5}3}$.

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