
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 using your preferred method:  
(1) $42.67-(12.95-7.33)$  
(2) $\left[8.4-8.4\times(3.12-3.7)\right]\div0.42$  
(3) $5.13\times0.23+8.7\times0.513-5.13$  
(4) $6.66\times222+3.33\times556$

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