
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
Given the ratio $A:B:C = 3:2:6$, calculate the following:
1. What is the value of $(4A + 3B) \div (5C - 2A)$?
2. What is the value of $(A + C) \div (2B + A)$? Express your answers as common fractions.

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