Here are some examples:
* 推门 (tuī mén) - to push the door
* 推车 (tuī chē) - to push a cart
* 推迟 (tuī chí) - to postpone
* 推销 (tuī xiāo) - to promote (a product)
There are other ways to say "push" in Mandarin, but they are less common or have more specific meanings.