Symptoms are exactly what I had with the CPS. But those symptoms can also indicate several other problems so as said, you have to get the code read. Most auto parts places do it for free now days. If it is a CPS and you need any advice on changing it out, just ask. Easy DIY, and you can save about $100 in labor. There are two of them BTW - make sure you know which one is bad, IF that is the problem.
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I like my 350 but I love my 300ZX TT more.