24 Game Calculator

Find arithmetic expressions that equal 24

Enter four playing-card values and the solver searches for expressions that use those values with addition, subtraction, multiplication, or division to reach 24. Each of the four inputs is used once. Parentheses make the order of operations explicit. The card range is Ace as 1 through King as 13, matching the values shown by the controls.

For example, with 1, 2, 3, and 4, the expression (1 + 3) × (2 + 4) = 24 uses each value once. The page lists matching expressions when it finds them; repeated or rearranged forms may appear because equivalent arithmetic arrangements are not all collapsed into one canonical answer.

Why some sets have no answer

The solver checks possible number orders, the four basic operations, and common parenthesis groupings. Division by zero is skipped. Some four-card sets cannot reach exactly 24 under these rules, so a no-solution result is a valid outcome rather than an input error. The search uses floating-point arithmetic with a small tolerance when checking whether a result equals 24.

Use the result to learn the steps

Try to solve the cards before requesting answers, then compare your expression with the displayed list. Parentheses help show which operation happens first. The shuffle button creates a new set from card values 1 through 13; reset returns the inputs to 1, 2, 3, and 4. Copy an expression when you want to save a particular answer.

Enter cards and check the solutions

1. Set all four values

   Choose a value from Ace (1) through King (13) in each card selector. Repeated values are allowed, just as a card set can contain cards with the same rank.

2. Calculate

   Select the calculate control to search for expressions. Editing a card clears the prior result so that it cannot be mistaken for the new set.

3. Read or copy a match

   Each listed expression is shown equal to 24 and has its own copy control. If no expressions appear, the result area reports that this set has no solution under the supported operations.

4. Try another hand

   Shuffle to generate four new values, or reset to the initial 1, 2, 3, 4 set. You can also change individual values instead of shuffling.

24 game solver questions

Rules and interpretation

Solutions follow the page's four-card range and four basic operations. They do not add exponents, concatenation, factorials, or other game variants.

• Use each of the four displayed values once; changing the rules can change whether a hand is solvable.
• Floating-point evaluation uses a tolerance around 24, so the listed result is intended to equal 24 within ordinary arithmetic precision.
• This is a practice and puzzle aid. Review the expression yourself if you need to explain the reasoning or teach a particular order-of-operations convention.