Systems

2×2 and 3×3, guaranteed to have one solution and to reach it without fractions.

equations.system · v1 · renderer math

1. -3x - 4y = -3 ; -2x - 3y = -2 → x = 1, y = 0 2. -x - 2y = 15 ; x + 3y = -22 → x = -1, y = -7 3. -4x - y = -19 ; 9x + 2y = 41 → x = 3, y = 7 4. -3x - 2y = -12 ; -x - y = -3 → x = 6, y = -3

Controls · from schema()

Size

How many

1 30

Solutions within ±

2 20

Entropy source

Picking a source changes the story on the receipt, never the quality: anything below class A is mixed with the OS CSPRNG before it reaches you. This result actually came from USGS Seismic Feed.

seed token A7CVD6BRW9D4PFXNBGRWJJEXXW

Re-render keeps this token. Generate replaces it. That is the whole idea.

Printable worksheet 20 problems · answers on page 2

The seed is printed in the footer, so the same sheet comes back from the same link — and a different seed is a different sheet.

entropy in

16 bytes

stream used

267 bytes

rejections

duration

1,069 µs

problems

Seed receipt

Class C · Observational

A magnitude 3.7 earthquake, 55 km SSE of Whites City, New Mexico, 6.1 km down — 44 minutes ago.

Carries only tens of bits of genuine surprise. Always mixed with the OS CSPRNG.

source: USGS Seismic Feed
observed: 2026-10-28T21:27:20+00:00
latency: 132ms
mixed with: csprng — always

https://earthquake.usgs.gov/earthquakes/eventpage/tx2026vgingz ↗

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The token is the seed, so this link recomputes the result rather than looking it up. No database, and it works for as long as v1 does.

This page and /api/v1/g/equations.system run the same code. There is no private endpoint.

Systems

Result

Measurements

Seed receipt

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