16 Worked Boards

Sixteen seven-dice boards, each solved twice: once with two of the three power dice used correctly, and once with all three. Every equation on this page was produced by the game engine itself and re-checked on every build.

How to use this page

Read the dice, cover the answers, and try it yourself before scrolling. The Valid solve is usually the more natural one to find; the Perfect solve shows what it takes to satisfy the red exponent die as well.

The coloured dice follow the standard layout: blue must be multiplied or divided, red must take part in a power, green must be added or subtracted. Full detail in the power-dice guide.

On verification

Every equation below was generated by the same solver the game uses, and every one is re-run through the equation engine each time this site is built. If any of them ever stopped reaching 37 with all seven dice, the build would fail rather than publish a wrong answer.

16 worked boards

Puzzle 1

5
4
3
2
6
1
2

Valid solve2 of 3 power dice

(2+2)×6+5+4+3+1

Perfect solve3 of 3 power dice

(5×6)^1+2+3+4−2

Puzzle 2

6
3
4
5
5
4
2

(3−4)⁴ = (−1)⁴ = +1. A negative base raised to an even power flips positive.

Valid solve2 of 3 power dice

(6+3)×4+4−2−5÷5

Perfect solve3 of 3 power dice

(3−4)^4×5+6×5+2

Puzzle 3

2
5
5
4
3
2
1

(5−5) = 0 annihilates the ×4 term entirely, spending two dice for nothing on purpose.

Valid solve2 of 3 power dice

(2+5+5)×3+4−1−2

Perfect solve3 of 3 power dice

(2×3)^2+1−(5−5)×4

Puzzle 4

1
1
2
3
6
6
5

Valid solve2 of 3 power dice

(1+1+2−3+6)×6−5

Perfect solve3 of 3 power dice

2×3×6^1+1×6−5

Puzzle 5

6
5
4
3
2
1
6

Valid solve2 of 3 power dice

(6+5+4)×3−2×1−6

Perfect solve3 of 3 power dice

(6×2)^1+6+4+5×3

Puzzle 6

3
3
3
6
6
2
1

Valid solve2 of 3 power dice

(3+3+3−6)×6×2+1

Perfect solve3 of 3 power dice

3×6+1+3+3^2+6

Puzzle 7

2
2
3
3
5
5
6

The 3/3 = 1 trick, doing what it does best — spending two leftover dice for a single unit.

Valid solve2 of 3 power dice

5−(2+2+3−3−6)^5

Perfect solve3 of 3 power dice

2^5+2×5−6+3÷3

Puzzle 8

1
2
3
4
5
6
6

A dramatic one: 11³ overshoots to 1331, then 6⁴ = 1296 claws almost all of it back. Big numbers are fine as long as something cancels them.

Valid solve2 of 3 power dice

(1+2)×3+4−6+5×6

Perfect solve3 of 3 power dice

(1×5+6)^3+2−6^4

Puzzle 9

6
6
6
1
1
2
3

Valid solve2 of 3 power dice

(6+6+6−1)×1×2+3

Perfect solve3 of 3 power dice

(6×1)^2+3−1−6÷6

Puzzle 10

5
5
2
2
6
3
1

Valid solve2 of 3 power dice

1^3+(5+5+2)÷2×6

Perfect solve3 of 3 power dice

2−5+3^2+5×6+1

Puzzle 11

4
1
6
2
5
3
3

Valid solve2 of 3 power dice

3^3−(4+1−6)×2×5

Perfect solve3 of 3 power dice

1×6+2^3+4×5+3

Puzzle 12

3
6
2
4
6
1
5

Valid solve2 of 3 power dice

5^1×6+3+6+2−4

Perfect solve3 of 3 power dice

(3×6)^1×4÷2+6−5

Puzzle 13

2
3
4
1
6
5
4

Valid solve2 of 3 power dice

(2+3−1)×6+4+4+5

Perfect solve3 of 3 power dice

(2×6+4−4)×3+1^5

Puzzle 14

1
5
5
3
4
6
2

The exponent takes a parenthesis as its power — 6^(5−3) is 6², not 6⁵ minus 3.

Valid solve2 of 3 power dice

(1+5+5)×4+2−3−6

Perfect solve3 of 3 power dice

1×4+2−5+6^(5−3)

Puzzle 15

6
2
2
5
3
4
1

Division as a de-escalator: 2⁵ blows the number up, 2⁴ divides most of it away.

Valid solve2 of 3 power dice

(6+2+2)×5−1−3×4

Perfect solve3 of 3 power dice

2^5×6×3÷2^4+1

Puzzle 16

5
1
3
6
4
2
6

Valid solve2 of 3 power dice

4^2+5+1+3+6+6

Perfect solve3 of 3 power dice

(5×4+6−6)×2^1−3