
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
Compute the following expressions:
(1) $\dfrac {1}{ \sqrt {0.04}}+(\dfrac {1}{ \sqrt {27}})^{ \frac {1}{3}}+(\sqrt {2}+1)^{-1}-2^{\frac {1}{2}}+(-2)^{0}$;
(2) $\dfrac {2}{5}\log_{10} 32+\log_{10} 50+ \sqrt {(\log_{10} 3)^{2}-\log_{10} 9+1}-\log_{10} \dfrac {2}{3}$.

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