
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
In the cold winter, the fragrance of wintersweet flowers fills the air. A florist has 142 branches of Type A wintersweet and 104 branches of Type B wintersweet. Now, the florist bundles these wintersweet branches into two types of bouquets, Type Alpha and Type Beta, for sale. Each Type Alpha bouquet consists of 6 branches of Type A wintersweet and 4 branches of Type B wintersweet; each Type Beta bouquet consists of 5 branches of Type A wintersweet and 4 branches of Type B wintersweet, and all branches are used up. How many bouquets of each type are made?

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