
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:<br/>$(1)\left(+5\right)-\left(-10\right)+\left(-32\right)-\left(+7\right)$;<br/>$(2)(\frac{1}{4}+\frac{1}{6}-\frac{1}{2})×12+(-2)^3÷(-4)$;<br/>$(3)3^2+(-2-5)÷7-|-\frac{1}{4}|×(-2)^4+(-1)^{2023}$.

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