Fifth, there are serious problems in production safety.

五是安全生产形势严峻。

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There are serious problems for the survival of the human race.

人类的生存面临着严峻的问题。

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There are serious problems in the world and challenges to be faced.

当今世界存在着各种各样的问题，面临着严峻的挑战。

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Officials at the base invited the media into the barracks and acknowledged that there are serious problems.

CNN: Dad's video of run-down barracks sparks military response

In this case there are serious problems with both the India deal itself, and the precedents it sets.

ECONOMIST: Diplomacy and proliferation

Clearly there are serious problems, but they hardly look big enough to set off a crisis at the heart of the global financial system.

ECONOMIST: The crisis in the debt markets