
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
A basketball club at a certain school decided to purchase sports equipment. After inquiry, two sports product dealers, A and B, sell a certain brand of team uniforms and basketballs at the same price. It is known that each set of team uniforms is 50 yuan more expensive than each basketball, and the cost of two sets of team uniforms is equal to that of three basketballs. After negotiation, dealer A's discount scheme is: for every ten sets of team uniforms purchased, one basketball is given for free, while dealer B's discount scheme is: if more than 80 sets of team uniforms are purchased, the basketballs are sold at a 20% discount.
(1) What is the price of each set of team uniforms and each basketball?
(2) If the basketball club purchases 100 sets of team uniforms and m basketballs (m is an integer greater than 10), please express the cost of purchasing equipment from dealer A and dealer B using an expression that includes m;
(3) Under the condition of (2), if m=60, determine through calculation which dealer offers a better deal.

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