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

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