suggest

tentatively

The teacher tentatively suggested we might want to try a different approach to the problem.

respectfully, tactfully

I tactfully suggested to my roommate that we should clean the kitchen more often.

helpfully

My friend helpfully suggested that I could borrow her laptop for the presentation.

seem reasonable to

It seems reasonable to suggest that regular exercise improves both physical and mental health.

dare (to)

How dare he suggest that we cancel the project without discussing it first with the team?

as

The teacher suggested Maria as the best candidate for the leadership position.

for

I'd suggest Maria for the team leader position because she has great experience.

to

I suggested to my friend that we should try the new restaurant downtown.

can/may I suggest, I (would) suggest

Can I suggest that we meet tomorrow instead of today?

strongly

The doctor's test results strongly suggest that you need to change your diet.

seem to

The doctor's test results seem to suggest that she needs more rest before returning to work.