You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
The circumference of the front wheel of a cart is 30 ft long, that of the back wheel is 32 ft long, and the circumference of a third wheel is 34 ft long. What is the distance traveled by the cart, when the front wheel has done 5 more revolutions than the rear wheel and the third wheel has done 8 fewer revolutions than the rear wheel?
user
2400
rule
The circumference of the front wheel of a cart is 30 ft long, that of the back wheel is 32 ft long, and the circumference of a third wheel is 34 ft long. What is the distance traveled by the cart, when the front wheel has done 5 more revolutions than the rear wheel and the third wheel has done 8 fewer revolutions than the rear wheel?
train