problem

/problem/
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problem

The student solves a math problem on the chalkboard.

Definition
  1. Noun:
    • A source of difficulty or trouble: A situation, person, or thing that causes inconvenience, worry, or is hard to deal with.
    • A question or puzzle proposed for solution: A matter or situation regarded as unwelcome or harmful that needs to be resolved or overcome.
    • A matter requiring thought or skill to be answered or solved: Often used in mathematics, science, or logic to denote a specific exercise or challenge.
Usage Examples
  • As a source of difficulty:
    • The main problem with the car is its faulty engine.
    • Financial problems kept him awake at night.
  • As a question for solution:
    • The teacher gave us five math problems for homework.
    • Solving this technical problem requires expertise.
  • In a general state of difficulty:
    • They are having marital problems.
    • The city faces serious problems with pollution.
Advanced Usage
  • "To have a problem with (someone/something)": To disagree with or object to someone or something.
    • Do you have a problem with my decision?
  • "No problem": A common informal response to mean "you're welcome" or to indicate that something is not difficult or troublesome.
    • "Thanks for your help." – "No problem."
  • "That's your problem": A dismissive phrase indicating that the speaker does not consider the issue their responsibility.
    • If you're late, that's your problem.
Variants and Related Words
  • Problematic (adj): Constituting or presenting a problem; doubtful or uncertain.
    • The plan's success is problematic.
  • Problem-solving (n): The process of finding solutions to difficult or complex issues.
    • This job requires strong problem-solving skills.
Synonyms
  • Difficulty: A thing that is hard to accomplish, deal with, or understand.
  • Issue: An important topic or problem for debate or discussion.
  • Trouble: Difficulty or problems.
  • Challenge: A task or situation that tests someone's abilities.
Related Phrases (Phrasal Verbs)
  • "To problem-solve" (verb, often hyphenated): To analyze and find solutions to problems.
    • We need to sit down and problem-solve this issue together.
Related Idioms
  • "The problem child": A person or project that is particularly troublesome or difficult to manage.
    • That division has become the company's problem child.
  • "It's not my problem": Used to indicate that one is not responsible for or affected by a particular difficulty.
    • How they fix the budget is not my problem.
problem

The student solves a math problem on the chalkboard.

Noun
  1. a source of difficulty
    • one trouble after another delayed the job
    • what's the problem?
  2. a question raised for consideration or solution
    • our homework consisted of ten problems to solve
  3. a state of difficulty that needs to be resolved
    • she and her husband are having problems
    • it is always a job to contact him
    • urban problems such as traffic congestion and smog