Syntax operators used below: kh keep highest  ·  kl keep lowest  ·  dl drop lowest  ·  ! exploding  ·  >=N count successes  ·  =N count exact  ·  fN count failures  ·  ro reroll once  ·  sd sort descending  ·  dF Fate/Fudge die

D&D 5e

• 1d20+2 — Initiative
• 2d20kh1 — Advantage (roll 2 d20, keep highest)
• 2d20kl1 — Disadvantage (roll 2 d20, keep lowest)
• 4d6kh3 — Stat roll (roll 4 d6, keep highest 3)

Pathfinder 2e

• (1d8+4)*2 — Critical damage (roll, add modifier, double the result)

Call of Cthulhu

• 1d100 — Skill check
• 2d100kl1 — Bonus die (roll 2 d100, keep lowest)
• 2d100kh1 — Penalty die (roll 2 d100, keep highest)

World of Darkness

• 10d10>=8 — Standard pool (count dice ≥ 8 as successes)
• 10d10!>=8 — 10-again (explode on 10, count ≥ 8 as successes)
• 10d10>=8f1 — Botch track (successes ≥ 8, failures on 1)
• 10d10sd — Sorted pool (results sorted descending)

Shadowrun

• 10d6>=5 — Standard pool (count dice ≥ 5 as hits)
• 10d6!>=5 — Push the Limit (exploding 6s, count ≥ 5 as hits)
• 10d6=1 — Glitch check (count 1s)
• 10d6ro<5 — Reroll non-hits once

Year Zero Engine

• 8d6=6 — Success pool (count 6s as successes)
• 8d6ro<6 — Push roll (reroll non-6s once)
• 8d6sd — Sorted pool

Forged in the Dark

• 3d6kh1 — Action roll (roll 3 d6, keep highest)
• 2d6kh1 — Resistance roll (roll 2 d6, keep highest)
• 2d6kl1 — Zero dice / desperate roll (keep lowest)
• 4d6kh1 — Critical roll (roll 4 d6, keep highest)

Savage Worlds

• {1d8!, 1d6!}kh1 — Trait + Wild Die (both exploding, keep highest)
• 2d8! — Damage (exploding d8s)
• 1d6! — Soak (exploding d6)

Star Wars D6 (WEG)

• 2d6+1d6! — Trait + Wild Die (standard dice plus an exploding wild die)

Fate / Fudge

• 4dF — Fate dice (each die rolls -1, 0, or +1)
• 4dF+2 — Fate check with skill bonus

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