
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
Simplify:<br/>$(1)(-\frac{1}{2}+\frac{2}{3}-\frac{1}{4})÷(-\frac{1}{24})$;<br/>$(2)3\frac{1}{2}×(-\frac{5}{7})-(-\frac{5}{7})×2\frac{1}{2}-\frac{5}{7}×(-\frac{1}{2})$.

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