
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
Let the symbol 〈a, b〉 represent the smaller of the two numbers a and b, and let the symbol [a, b] represent the larger of the two numbers a and b. Find the values of the following expressions:
(1) 〈-5, -0.5〉 + [-4, 2];  
(2) 〈1, -3〉 + [-5, 〈-2, -7〉].

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