problem

American  

[prob-luhm] / ˈprɒb ləm /

noun

1. any question or matter involving doubt, uncertainty, or difficulty.

   Synonyms:

   enigma, riddle, puzzle

   Antonyms:

   certitude

2. a question proposed for solution or discussion.

   Synonyms:

   enigma, riddle, puzzle

3. Mathematics. a statement requiring a solution, usually by means of a mathematical operation or geometric construction.

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adjective

1. difficult to train or guide; unruly.

   a problem child.

2. Literature. dealing with choices of action difficult either for an individual or for society at large.

   a problem play.

idioms

1. no problem,

   1. (used as a conventional reply to a request or to express confirmation or affirmation).

      Sure, no problem, I can do that right away.

   2. (used as a conventional reply to an expression of gratitude or thanks).

      No problem, I’m glad I could help!

problem British  

/ ˈprɒbləm /

noun

1. 1. any thing, matter, person, etc, that is difficult to deal with, solve, or overcome

   2. ( as modifier )

      a problem child

2. a puzzle, question, etc, set for solution

3. maths a statement requiring a solution usually by means of one or more operations or geometric constructions

4. (modifier) designating a literary work that deals with difficult moral questions

   a problem play

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problem More Idioms  

1. see no problem.

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Usage

What is a basic definition of problem? A problem is a situation, question, or thing that causes difficulty, stress, or doubt. A problem is also a question raised to inspire thought. In mathematics, a problem is a statement or equation that requires a solution. Problem has a few other senses as a noun and an adjective. A problem is a thing or event that causes you to wonder, cry, panic, or get angry. Life is full of problems that we try our best to handle. Something that involves problems or resembles a problem is said to be problematic.

• Real-life examples: A clogged toilet is an annoying problem. A rock in your shoe is often just a small problem. An international war is a big problem that causes many other problems for a large number of people.
• Used in a sentence: I need to pass this final exam or I am going to have a big problem with the grade for this class! 

Problem is used in this same sense as an adjective to mean something is unruly or difficult to handle.

• Real-life examples: A problem car doesn’t run well. A problem school has a lot of difficulties that need to be solved. A problem child is someone who is considered rowdy or unruly.
• Used in a sentence: Instead of labeling someone a “problem child,” we should try to understand why the child acts the way they do. 

A problem is a question or puzzle that is intended to be solved or to be deeply thought about.

• Real-life examples: Your teacher may present a problem to the class so you can use what you’ve learned to solve it. Scientists present problems to other scientists so they can work together to think about them and discover new information.
• Used in a sentence: Ivan managed to solve the problem of how to separate the rocks and the sand. 

In math, a problem is a mathematical statement that lacks a solution (answer) that a student or testee is expected to provide. This sense is nearly always specifically phrased as a “math problem.” These kinds of problems are frequently a source of pain and misery to math students.

• Real-life examples: Examples of math problems include “2 + 2 = ?” and “3x + 2y = 30. x = 4. Solve for y.”
• Used in a sentence: The math exam consisted of 100 problems that ranged in difficulty. 

Other Word Forms

• subproblem noun

Etymology

Origin of problem

First recorded in 1350–1400; Middle English probleme, from Middle French problème, from Latin problēma, from Greek próblēma “something thrown or put forward, projection, obstacle, defence, something offered as an excuse, something proposed as a task, practical or theoretical problem” (akin to probállein “to throw or lay before”), equivalent to pro- pro- ² + -blē-, variant stem of bállein “to throw” ( parabola ) + -ma noun suffix of result

Explanation

If you are facing something that will be difficult to handle, you have a problem on your hands. A problem is a roadblock in a situation, something that sets up a conflict and forces you to find a resolution. The meaning of the Greek word próblēma meant "to put forth," which is different from the meaning of problem today, but it reminds you that any problem becomes easier to solve once you have defined it. A math problem is easier once you have the numbers in front of you: that's why word problems can be so difficult. Problem can also be an adjective in rare cases. Once you were a problem child, but now you spend your time listening to everyone else's problems.

Example Sentences

Admittedly, the market is a bit overbought after the monster run in the past 12 trading days, so that might present something of a problem.

From MarketWatch • Apr. 16, 2026

When Billy Beane turned to the nascent discipline of data analytics to overcome a seemingly unsolvable workplace problem, his aspirations were modest.

From The Wall Street Journal • Apr. 16, 2026

Bieber asks, and the trick of a song born from a branding problem is that it summons the sensation of endless ascent.

From Los Angeles Times • Apr. 16, 2026

A higher gas price is a particular problem for the UK as it generally determines the price of electricity, whether it was generated using gas or renewables.

From BBC • Apr. 16, 2026

Like a math problem I’ve been trying to solve the wrong way, and out of nowhere, the solution clicks.

From "Keeping Pace" by Laurie Morrison

Related Words

• complication
• dilemma
• dispute
• headache
• issue
• obstacle
• question
• trouble