Batch Cropping of PDF Pages?

So I am looking to “batch” crop a PDF.

However, the problem is somewhat interesting. I think an image is probably best.

I want to be able to crop the white space out of the PDF. This might be relatively simple. But the problem really lies in the fact that the next page has the text on the right side instead of the left. In other words, the text alternatives from the left to right, and back.

Is there a way I can automate this process. I suppose I can batch process a crop on two different copies of the document, then merge the two separate versions (one cropped on the left, one cropped on the right), but I still don’t know if I can batch crop.

Is this possible?