Linear Equations

Built root-first, so the answer is always clean and never needs checking.

equations.linear · v1 · renderer math

1. 4x - 18 = 30 → x = 12 2. 8x + 1 = -55 → x = -7 3. 10x + 18 = 108 → x = 9 4. 12x - 5 = -137 → x = -11 5. 5x - 9 = -69 → x = -12 6. 8x + 2 = 10 → x = 1 7. 4x - 9 = 23 → x = 8 8. 9x - 13 = -76 → x = -7

Controls · from schema()

Difficulty

How many

1 50

Whole-number answers

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 NIST Randomness Beacon.

seed token D25H4GHNR59YNWMZMTFJXFHSA8

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

30 bytes

rejections

duration

312 µs

problems

Seed receipt

Class B · Public beacon

NIST Beacon pulse #2,003,508 — chained to every pulse before it, and signed.

Published openly — anyone can look this value up after the fact.

source: NIST Randomness Beacon
observed: 2026-10-28T22:10:00+00:00
latency: 222ms
mixed with: csprng — always

https://beacon.nist.gov/beacon/2.0/chain/2/pulse/2003508 ↗

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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.linear run the same code. There is no private endpoint.

Linear Equations

Result

Measurements

Seed receipt

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