adj.无法解决的，不能解释的，不能溶解的，不溶的

The problem of poverty remains an insoluble issue for many governments.
解决贫困问题仍然是许多政府无法解决的问题。
The equation he presented was so complex that it seemed virtually insoluble.
他提出的方程极为复杂，几乎无法求解。
The mystery of the missing artifact proved to be an insoluble puzzle for investigators.
失踪文物之谜对调查人员来说是一个无法解开的谜团。
The stain on the carpet was insoluble, no cleaning product could remove it completely.
地毯上的污渍无法清除，没有任何清洁产品能完全去除它。
The conflict between the two communities seemed like an insoluble dilemma, with deep-rooted historical tensions.
两个社区之间的冲突似乎是一个无法解决的难题，有着根深蒂固的历史紧张关系。
Finding a balanced approach to environmental protection and economic growth is an insoluble challenge for policymakers worldwide.
找到环境保护与经济增长之间的平衡点是全球政策制定者面临的无法解决的挑战。
The mathematician spent years trying to solve the insoluble theorem, but eventually had to concede defeat.
这位数学家花了多年时间试图解决这个无解的定理，但最终不得不承认失败。
The issue of income inequality has become an increasingly insoluble problem in many societies.
收入不平等问题在许多社会中日益成为一个难以解决的问题。
Despite numerous attempts, the recipe for the secret sauce remained an insoluble enigma for competitors.
尽管多次尝试，竞争对手仍无法破解秘密酱料的配方，这是一个无法解开的谜。
The question of how to achieve world peace remains an insoluble quandary for diplomats around the globe.
如何实现世界和平的问题仍然是全球外交官面临的一个无法解答的困境。