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Driver of mathematics department
Zhang and the driver are different in age-that is, Zhang is not a driver.

Wang is older than the driver-that is to say, Wang is not a driver.

Only Li is left, so Li is the driver.

Li is older than an accountant and Wang is older than a driver, which means that Wang is definitely not an accountant, so Wang is a manager.

The remaining one is an accountant.

So, Li is the driver, Wang is the manager and Zhang is the accountant.