The daily equation · Hard
October 1, 2026
One shared puzzle. Find every way to make it true.
(□ + □) × (□ − □) + 4 = 124
4 distinct solutions · 4 blanks · Hard
Play this daily puzzleBefore you play
- Each blank takes one digit from 0 to 9. Choices may be repeated.
- Follow the printed brackets and the order of operations. Each division must be exact. Division by zero is never allowed.
- Find all 4 distinct solutions. Reordering terms of the same addition or multiplication counts once. Subtraction, division and bracket structure still matter.
- Play without an account. Progress stays in this browser; the Lobby’s Continue button resumes an unfinished game. Web Hint and Reveal are free.
A way to begin
Treat each bracket as a quantity. Undo fixed operations outside the brackets, then look for factor pairs or sums that fit the allowed digits.
This equation has 4 blanks and 4 distinct solutions. List your cases systematically and use the green rows to avoid repeating a solved case. Explore this solving method.
Reveal all 4 solutions
One representative of each distinct solution is shown. Other accepted orders of the same addition or multiplication are not repeated.
- (9 + 6) × (8 − 0) + 4 = 124
- (9 + 6) × (9 − 1) + 4 = 124
- (8 + 7) × (8 − 0) + 4 = 124
- (8 + 7) × (9 − 1) + 4 = 124
Check one answer, step by step
(9 + 6) × (8 − 0) + 4 = 124
- 9 + 6 = 15
- 8 − 0 = 8
- 15 × 8 = 120
- 120 + 4 = 124