why does my engine run perfectly only when hot ? 2001 dodge dakota v-6

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on the rarest of occasions at a stop light when hot and in gear the engine will stop. on the rarest of occasions when cold and accelerating the engine will run perfectly. more often than not when cold and accelerating the engine will cough and sputter even after several stops and then accelerating again with cough and sputter. when hot runs like a clock with great mileage.