Linear Equations

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

equations.linear · v1 · renderer math

1. 10x - 12 = 8 → x = 2 2. 3x + 4 = 16 → x = 4 3. 2x - 19 = -41 → x = -11 4. 4x - 18 = 30 → x = 12 5. 3x + 6 = -24 → x = -10 6. 4x + 18 = 66 → x = 12 7. 9x - 10 = -82 → x = -8 8. 8x + 15 = -49 → x = -8

entropy in

16 bytes

stream used

36 bytes

rejections

duration

636 µs

problems

Seed receipt

Class B · Public beacon

drand round 6,463,134 — no single operator could have predicted this value.

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

source: drand · League of Entropy
observed: 2026-09-13T18:44:14+00:00
latency: 447ms
mixed with: csprng — always

https://api.drand.sh/public/6463134 ↗

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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.

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 drand · League of Entropy.

seed token 5NNRXP9CKKEKSKQB5KC5STW950

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.

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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