不要依赖别人英文

You have to depend on yourself instead of others in all circumstances. 并不是所有的句子都要一字不差的按原句翻译，这里的“任何时候”也就是“任何情况下”，不必咬文嚼字，所以我觉得用circunstance即可。当然如果你喜欢，也可以把in all circumstances改成at all times，都是一个意思

You don't always rely on others

Don't always depend\rely\count on others and learn to be independent.

don'trelyon/counton/depend on others

we should depend on ourselves rather than others.

Don't always relay on the others.

1He says/said he has/had aiready cleaned the room.2He didn't come to the party,I guess he must be bvery busy.3,.他说他可能会在明天8点钟的样子回来。4.The boy's will not let him swim in the river. 5不用依赖别人：Don't depend on others.

You shouldn't always rely on others.

you should not always be lying on others but understand how to be independent.