# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

200 results; page 7/8.

## Question 30576: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0051`; number: 30576
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0051/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0051.json)

## Question 30577: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0052`; number: 30577
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0052/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0052.json)

## Question 30578: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0053`; number: 30578
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0053/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0053.json)

## Question 30579: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0054`; number: 30579
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0054/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0054.json)

## Question 30580: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0055`; number: 30580
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0055/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0055.json)

## Question 30581: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0056`; number: 30581
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0056/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0056.json)

## Question 30582: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0057`; number: 30582
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0057/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0057.json)

## Question 30583: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0058`; number: 30583
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0058/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0058.json)

## Question 30584: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0059`; number: 30584
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0059/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0059.json)

## Question 30585: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0060`; number: 30585
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0060/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0060.json)

## Question 30586: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0061`; number: 30586
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0061/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0061.json)

## Question 30587: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0062`; number: 30587
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0062/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0062.json)

## Question 30588: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0063`; number: 30588
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0063/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0063.json)

## Question 30589: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0064`; number: 30589
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0064/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0064.json)

## Question 30590: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0065`; number: 30590
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0065/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0065.json)

## Question 30591: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0066`; number: 30591
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0066/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0066.json)

## Question 30592: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0067`; number: 30592
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0067/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0067.json)

## Question 30593: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0068`; number: 30593
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0068/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0068.json)

## Question 30594: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0069`; number: 30594
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0069/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0069.json)

## Question 30595: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0070`; number: 30595
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0070/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0070.json)

## Question 30596: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0071`; number: 30596
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0071/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0071.json)

## Question 30597: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0072`; number: 30597
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0072/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0072.json)

## Question 30598: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0073`; number: 30598
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0073/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0073.json)

## Question 30599: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0074`; number: 30599
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0074/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0074.json)

## Question 30600: Exact Root Offsets and Original Substitution

- ID: `q-20261010-advance-20261014-r04-linear-equation-0075`; number: 30600
- Processing: second_context_reviewed
- MKO: [mko-linear-equation](/en/mko/mko-linear-equation/)
- Family: [qf-density14-linear-root-substitution-grid](/en/explore/?family=qf-density14-linear-root-substitution-grid)
- Batch: [batch-20261010-advance-20261014-r04-linear-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r04-linear-equation-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0075/) / [Markdown](/en/questions/q-20261010-advance-20261014-r04-linear-equation-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r04-linear-equation-0075.json)

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