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README.md ADDED
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+ ---
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+ license: other
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+ license_name: sklyanov-textbook-derived
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+ language:
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+ - en
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+ tags:
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+ - mathematics
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+ - math
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+ - algebra
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+ - trigonometry
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+ - calculus
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+ - problem-solving
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+ - worked-solutions
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+ - latex
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+ - textbook
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+ - english-translation
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+ pretty_name: Sklyanov Math Problems (English Q&A)
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+ size_categories:
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+ - 1K<n<10K
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+ configs:
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+ - config_name: full
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+ data_files:
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+ - split: train
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+ path: data/full/train-*.parquet
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+ - split: test
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+ path: data/full/test-*.parquet
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+ - config_name: qa
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+ data_files:
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+ - split: train
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+ path: data/qa/train-*.parquet
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+ - split: test
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+ path: data/qa/test-*.parquet
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+ dataset_info:
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+ - config_name: full
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+ features:
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+ - name: id
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+ dtype: string
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+ - name: chapter
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+ dtype: int64
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+ - name: problem_number
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+ dtype: int64
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+ - name: group
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+ dtype: string
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+ - name: marker
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+ dtype: string
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+ - name: question_en
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+ dtype: string
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+ - name: answer_en
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+ dtype: string
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+ - name: final_answer_en
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+ dtype: string
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+ - name: has_question
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+ dtype: bool
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+ - name: has_answer
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+ dtype: bool
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+ - name: source_page_problem
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+ dtype: int32
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+ - name: source_page_solution
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+ dtype: int32
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+ splits:
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+ - name: train
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+ num_examples: 3440
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+ - name: test
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+ num_examples: 180
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+ - config_name: qa
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+ features:
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+ - name: id
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+ dtype: string
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+ - name: chapter
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+ dtype: int64
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+ - name: group
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+ dtype: string
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+ - name: question_en
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+ dtype: string
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+ - name: final_answer_en
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+ dtype: string
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+ - name: answer_en
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+ dtype: string
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+ splits:
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+ - name: train
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+ num_examples: 3156
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+ - name: test
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+ num_examples: 155
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+ ---
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+
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+ # Sklyanov Math Problems — English Q&A Dataset
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+
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+ **3,620 problems** from M. I. Sklyanov's classic Russian entrance-exam problem book
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+ *Сборник задач по математике для поступающих в втузы (с решениями). Кн. 1. Алгебра*
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+ (*A Collection of Problems in Mathematics for Applicants to Higher Education (with Solutions)*,
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+ Book 1: Algebra). Every problem statement and every printed solution has been transcribed from
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+ the scanned pages and translated from Russian into English, with all mathematics rendered in
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+ LaTeX.
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+
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+ ## What is in it
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+
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+ - **3,620 problems** across 11 chapters (algebraic expressions, algebraic equations,
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+ word problems, trigonometric identities, trigonometric equations, progressions, logarithms,
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+ inequalities, combinatorics, extra algebra, beginnings of analysis).
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+ - **3,311 complete Q&A pairs** — the book prints worked solutions for only some problems,
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+ so the remaining rows carry the statement alone (`has_answer: false`).
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+ - Full worked solutions in `answer_en`; short final results in `final_answer_en`.
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+ - Difficulty `group` (A/B/C) and the book's own marker glyph (`□`, `■`) are preserved.
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+
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+ ## Configs
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+
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+ | Config | Rows | Contents |
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+ |---|---|---|
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+ | `full` | 3,620 | Every problem: statement, solution, final answer, source pages |
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+ | `qa` | 3,311 | Only complete pairs, with a compact schema for QA / RAG / SFT |
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+
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+ Splits are a deterministic 95/5 train/test split, stratified by chapter (seed 42), and a row
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+ keeps the same split in both configs.
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+
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+ ## Load it
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+
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+ ```python
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+ from datasets import load_dataset
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+
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+ full = load_dataset("ORCHORDS/dgn-math-problems", "full")
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+ print(full["train"][0])
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+
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+ qa = load_dataset("ORCHORDS/dgn-math-problems", "qa")
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+ ```
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+
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+ Or straight from the files:
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+
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+ ```python
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+ from datasets import load_dataset
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+ ds = load_dataset("parquet", data_files={"train": "data/full/train-*.parquet"})
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+ ```
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+
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+ ## Schema (`full` config)
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+
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+ | Column | Type | Description |
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+ |---|---|---|
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+ | `id` | string | Printed problem number, e.g. `3.014` |
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+ | `chapter` | int | Chapter 1–11 |
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+ | `problem_number` | int | Position within the chapter |
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+ | `group` | string | Difficulty group as printed: `A`, `B`, `C` or `""` |
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+ | `marker` | string | Difficulty marker glyph: `□`, `■` |
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+ | `question_en` | string | English problem statement, mathematics in LaTeX |
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+ | `answer_en` | string | English worked solution / answer as printed |
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+ | `final_answer_en` | string | Short final result (may be empty) |
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+ | `has_question` | bool | Whether a statement was found |
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+ | `has_answer` | bool | Whether a solution was found |
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+ | `source_page_problem` | int | PDF page of the statement |
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+ | `source_page_solution` | int | PDF page of the solution |
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+
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+ The `qa` config has: `id`, `chapter`, `group`, `question_en`, `final_answer_en`, `answer_en`.
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+
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+ ## Sample
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+
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+ ```json
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+ {
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+ "id": "3.001",
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+ "question_en": "Of four given numbers, the first three are to one another as $1/5:1/3:1/20$, and the fourth is $15\\%$ of the second number. Find these numbers if the second number is $8$ greater than the sum of the remaining numbers.",
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+ "answer_en": "The required numbers are $k/5$; $k/3$; $k/20$; $0.15\\cdot k/3=k/20$. By the condition, $\\frac{k}{3}-8=\\frac{k}{5}+\\frac{k}{20}+\\frac{k}{20}$, whence $k=240$.",
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+ "final_answer_en": "$48;\\ 80;\\ 12;\\ 12$"
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+ }
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+ ```
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+
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+ ## License & rights
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+
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+ This dataset is a derived work: every row is an English translation and LaTeX transcription of
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+ problems and solutions from M. I. Sklyanov's textbook *Сборник задач по математике для поступающих
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+ в втузы (с решениями). Кн. 1. Алгебра*. Copyright in the original text, problems and solutions
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+ belongs to its publisher and author. This repository is published for educational and research use;
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+ please check the rights in the original edition before redistributing it commercially.
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+
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+ ## Provenance & method
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+
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+ The source PDF is a 527-page image-only scan with no text layer. All pages were rasterised at
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+ 300 dpi and transcribed with a vision language model (MiniMax-M3) into structured JSON with
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+ LaTeX mathematics and English prose; 527/527 pages succeeded. A repair pass recovered pages
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+ whose JSON contained unescaped LaTeX backslashes. Problem ids were cross-checked against an
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+ independent Tesseract OCR pass (a strict subset, no missed ids) and every chapter's id range is
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+ contiguous, e.g. `1.001`–`1.360`, `4.001`–`4.500`, `11.001`–`11.275`.
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+
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+ Russian notation was normalised on the way out (`\operatorname{tg}` → `\tan`,
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+ `\operatorname{ctg}` → `\cot`).
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+
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+ ## Known caveats
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+
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+ - Mathematics comes from a vision transcription of a scan, not from a text layer, so isolated
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+ symbols may occasionally differ from the print.
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+ - `final_answer_en` is empty for some rows where the book states the result only inside the
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+ worked solution — use `answer_en` there.
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+ - Solutions that continue over a page break are concatenated into one entry.
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+ - Rows whose solutions the book never prints are marked `has_answer: false` rather than dropped.
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