N4 — outside your level filter

てくれませんか

てくれませんかte kuremasen kaN4neutral

savor + (and…) + won't you do ? — a casual request among equals

ajiwatte kuremasen ka

won't you do (for me)? — a casual request among equals

meaning: could you savor

Same meaning

  • 味あじわう
  • 〜てくれませんか
  • 味あじわってくれませんか

悪わるいけど、ちょっと手伝てつだってくれない?

warui kedo, chotto tetsudatte kurenai?

Sorry, but could you give me a hand for a sec? casual

すみません、シャッターを味あじわってくれませんか。

sumimasen, shattaa o ajiwatte kuremasen ka.

Excuse me, could you savor the shutter for us? neutral

Same meaning6

All examples3

won't you do (for me)? — everyday polite request between equals

  1. 悪わるいけど、ちょっと手伝てつだってくれない?

    warui kedo, chotto tetsudatte kurenai?

    Sorry, but could you give me a hand for a sec? casual

  2. すみません、シャッターを押おしてくれませんか。

    sumimasen, shattaa o oshite kuremasen ka.

    Excuse me, could you press the shutter for us? neutral

  3. この機械きかいの使つかい方かたを教おしえてくれませんか。

    kono kikai no tsukaikata o oshiete kuremasen ka.

    Would you show me how to use this machine? neutral

How it's formed1

All forms2

  • てくれないtekurenaicolloquial

    味あじわってくれない

    casual negative question — 手伝てつだってくれない?

  • てもらえないtemoraenaicolloquial

    味あじわってもらえない

    casual receive-side twin — a shade softer than てくれない?

Notes

くれる carries zero deference, so pointed at a superior or a customer the pattern presumes — てもらえませんか or ていただけませんか takes over.
Refusals answer the favor, not the grammar — ちょっと…, never いいえ、くれません.