
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/>$(1)-2-|-2|$;<br/>$(2)\sqrt{1+\frac{24}{25}}$;<br/>$(3)12×(\frac{1}{4}-\frac{1}{3}-\frac{1}{2})$;<br/>$(4){4}^{2}÷2-\frac{4}{9}×{(-\frac{3}{2})}^{2}$;<br/>$(5)\frac{5}{4}×1.53+1.53×\frac{1}{2}-1.53×0.75$;<br/>$(6)-{3}^{2}+(-2)^{2}+\sqrt[3]{-8}$.

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