
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
(1) Calculate $4 - (-28) + (-2)$.
(2) Calculate $(-3) \times [(- \frac{2}{5}) \div (- \frac{1}{4})]$.
(3) Calculate $(-42) \div (-7) - (-6) \times 4$.
(4) Calculate $-3^{2} \div (-3)^{2} + 3 \times (-2) + |-4|$.
(5) Calculate $(-24) \times (\frac{3}{4} - \frac{5}{6} + \frac{7}{12})$.
(6) Calculate $-1^{4} - (1 - 0.5) \div \frac{5}{2} \times \frac{1}{5}$.

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