
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 following problems using a simplified method where possible.
$$\frac{8}{17} \div \frac{7}{5} + \frac{5}{7} \times \frac{9}{17}$$
$$\frac{8}{9} \div \left[ \left( \frac{1}{2} + \frac{2}{3} \right) \div \frac{3}{4} \right]$$

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