Logic Equations (Puzzleship)

Logic Equations is a cryptarithm-style puzzle from Puzzleship. Each set gives you a few letters, a pool of numbers and a short list of equations and inequalities, such as F = G + 8 or B > 5. Every letter takes a different number from the pool, and exactly one assignment makes every line true at once.

The arithmetic is never hard on its own; the difficulty is that the lines constrain each other. A value that fits one equation can be ruled out by an inequality further down. Unlike a classic cryptarithm with one sum, such as SEND plus MORE equals MONEY, these spread the letters over several lines that you cross-check.

You work on a grid with the letters down the side and the numbers across the top. Tapping a cell once crosses that number out for the letter, and tapping it again places it, so the board doubles as your notes. When every letter has its number and the lines hold, the game tells you it is solved and counts a daily streak.

Puzzleship publishes six sets of Logic Equations a day, graded from very easy to ultra hard, with the harder ones adding letters and lines rather than bigger numbers. The easiest is a 4 by 4 warm-up with two lines; the hardest runs to nine letters. Each day's sets are numbered and dated, the same for every player, and go up at 13:00 UTC, whatever the page's "00:00 your time" line says; earlier days stay playable in the archive. The hardest sets can also add conditional lines such as B ≥ 3 if and only if A > H.

The daily plays without an account. The site shows ads around the board, and a premium plan removes them. Puzzleship also sells printable booklets of these puzzles. It suits players who like Kakuro, KenKen or letter sums and want a short, clean deduction each day.