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24-Point Solver and Game — Every Solution to Make 24

24-point solver and game — enter 4 numbers and get every solution instantly, or play random hands against the clock.

  • Runs locally
  • Category Generator
  • Best for Starting from a blank page without committing to the first result.

Enter 4 numbers (1–13). The solver lists every distinct expression that equals 24.

1 solution
Hard
Computed in 6.8 ms
  • 8÷(3-8÷3) = 24

All math runs in your browser. Solver enumerates 4! × 5 × 4³ = 7,680 expressions and deduplicates equivalent forms (so a+b+c counts once, not six).

What this tool does

A complete 24-point toolkit for the classic Chinese arithmetic puzzle. The solver mode takes any 4 numbers from 1 to 13, enumerates all 4! × 5 × 4³ = 7,680 combinations of operand orderings, parenthesisation shapes, and operator picks, and lists every distinct expression that evaluates to exactly 24. Equivalent solutions are merged via canonical form, so (1 + 2) + 3 + 4 counts once instead of six times. Computation finishes in under 50 ms in any modern browser and there is no server round-trip. The game mode deals a random 4-card hand each round, lets you type an expression directly with +, −, ×, ÷ and parentheses, and validates it on the spot — making sure every card is used exactly once and the result equals 24. A live timer, score, and best-streak counter turn it into a quick mental warm-up. Stuck? Tap Hint to reveal one solution, or Give up to see all of them. A curated showcase of famously hard hands — 1 5 5 5, 3 3 8 8, 4 4 7 7 — opens directly in the solver so you can study the classics. Everything runs locally; nothing leaves your device.

Tool details

Input
Text + Numbers
The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
Output
Live result + Copy
The result area focuses on usable output, with copy, download, or preview actions when supported.
Privacy
Browser-side processing
The main tool logic does not call an external API, so inputs normally stay in the current tab.
Save / share
Shareable URL state
Key settings are encoded in the URL so another person can reopen the same setup.
Performance budget
Initial JS <= 21 KB
No WASM budget is declared, keeping the tool quick to open on mobile.
Best fit
Generator · Student
Category and role tags drive related tools, internal links, and quick fit checks.

How to use

  1. 1. Input

    Paste or drop your content into the tool panel.

  2. 2. Process

    Click the button. All processing is local in your browser.

  3. 3. Copy / Download

    Copy the result or download to disk in one click.

How 24-Point Solver & Game fits into your work

Use it to get a strong first draft, starter asset, or structured output that you can edit before publishing.

Generation jobs

  • Starting from a blank page without committing to the first result.
  • Creating repeatable drafts, names, templates, or placeholder assets.
  • Exploring options before choosing the one that fits the job.

Generation checks

  • Review generated output before it reaches a customer, page, or document.
  • Change defaults when you need a specific brand voice, format, or audience.
  • Keep only the parts that match the real task.

Good next steps

These links move the current task into a more complete workflow.

  1. 1 Scientific Calculator Scientific calculator — sin / cos / log / sqrt / power, with full keyboard input + history, deg/rad mode. Open
  2. 2 Sudoku Generator Sudoku generator and solver — 4 difficulties (easy / medium / hard / expert), unique-solution guaranteed, play in the browser or print as PDF. Open
  3. 3 Math Formula Reference Math formula reference — algebra, geometry, trigonometry, calculus, statistics, all in one place. Open

Real-world use cases

  • Settle a playground argument over whether a hand has a solution

    Four kids draw 4 6 6 9 from a deck and spend ten minutes insisting it cannot make 24. Paste the four numbers into solver mode and it shows 6 ÷ (6 ÷ 4 minus 9 idea) and the cleaner 9 plus 6 plus 6 ... no, it lists the real ones like (9 minus 6) times 6 plus 6 equals 24 in under 50 ms. The argument ends, and the kid who was right gets proof.

  • A teacher builds a graded worksheet of solvable hands only

    A grade-5 teacher wants twelve 24-point problems where every hand has at least one solution, plus two deliberately unsolvable ones for a challenge box. She tests candidate hands one by one in solver mode, drops any that return zero solutions unless she wants them, and notes the solution count so she can rank difficulty from 1 solution to 20.

  • Practice the fraction-trap hands before a math-league round

    A competitor knows 3 3 8 8 and 1 5 5 5 always appear and always burn time. She opens the classic showcase, studies 8 ÷ (3 minus 8 ÷ 3), then plays game mode with the timer on to drill recognising when an intermediate fraction is the only path. Two evenings later the 8/3 shape jumps out in seconds instead of minutes.

  • A content creator captions a short video with a verified answer

    A maths-puzzle creator films a 30-second clip posing 4 4 7 7 to the audience. Before publishing she confirms the answer in solver mode, (4 plus 4 ÷ 7) times 7 equals 32 ... no, the listed 7 times (4 minus 4 ÷ 7), so the on-screen text is correct and a commenter cannot embarrass her with a wrong caption.

Common pitfalls

  • Treating the four inputs as ordered. The solver permutes all 24 orderings itself, so 3 8 3 8 and 8 8 3 3 give the same solution set; do not type a hand multiple times hoping for new answers.

  • Assuming a missing answer means a bug. If your favourite expression is not listed it was merged as a commutative duplicate, like a plus b equals b plus a, not dropped; the enumeration is exhaustive.

  • Forgetting fractional intermediates exist. Hands like 3 3 8 8 look unsolvable only because people reject non-integer steps; trust the listed 8 ÷ (3 minus 8 ÷ 3) instead of declaring the hand impossible.

Privacy

All enumeration runs in your browser; the four numbers never leave your device and there is no server call. The hand you solve is encoded into the page URL so a shared link reopens the same puzzle, which means a hand is visible to anyone you send the link to. Game-mode score, streak, and timer live only in memory and vanish on reload; nothing is saved to disk.

FAQ

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Made by Toolora · 100% client-side · Updated 2026-07-02