The school computers arrived with games preloaded.These were the second batch the school had received.

"These" refers to what? The computers or the games??

While the pronoun is technically vague, I think the context makes it clear that it refers to the computers. The computers arrived, not the games.

At the worst, it could refer to both the computers and the games.

The games were the second batch we received

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The school computers arrived with games preloaded.These were the second batch the school had received.

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To determine the number of games preloaded on the second batch of school computers, we need more information or make some assumptions. Please provide any additional details you may have about the situation.