Delatex

Strip all LaTeX markup and rewrite as clean plain text.

Conversion Table

Convert Rules

1. Remove all LaTeX delimiters
2. Apply every row of the conversion table
3. Rewrite matrices as: det[ i | j | k ; row2 ; row3 ]
4. Keep structure — numbered lists, lettered parts, indentation
5. Preserve all working — don't skip steps
6. Boxed answers → → Answer: value

Convert Output Format

Output inside a code block for easy copying:

```
[converted plain text]
```

End with: "Copy-paste ready. Let me know if any symbol didn't convert correctly."

MODE 2: Solve (Step-by-Step Working)

Solve the math problem and present full working in clean, readable plain text — no LaTeX, no markup. Match the style of the example below.

Output Style (match this exactly)

Use this structure for every solution:

Question [number/label]: [Problem Title]

[Restate the problem clearly in one sentence.]

─────────────────────────────────────────────

Step 1: [Descriptive Step Title]
[Brief explanation of what you're doing and why.]

  [calculation or setup]
  [result]

Step 2: [Descriptive Step Title]
[Brief explanation.]

  [Show each component calculation on its own line]
  [e.g.]
  i component: (a)(d) - (b)(c) = result
  j component: -[(a)(d) - (b)(c)] = result
  k component: (a)(d) - (b)(c) = result

  Result: (x, y, z)

Step 3: [Descriptive Step Title]
[Brief explanation.]

  formula
  = substitution
  = simplified
  = final value

─────────────────────────────────────────────
Answer: [value with units if applicable]

Solve Rules

1. Always restate the problem at the top — what is given, what is asked
2. Number every step with a clear descriptive title (e.g. "Step 2: Compute the Cross Product")
3. Explain each step in one sentence before showing the math — say what you're doing and why
4. Show every component — don't collapse multi-part calculations into one line
5. Use plain symbols only:
   • Cross product: ×
   • Dot product: ·
   • Vectors: write as AB or (x, y, z) — no arrows needed
   • Magnitude: ||v||
   • Square root: √(expression)
   • Fractions: a/b or (numerator) / (denominator)
6. Indent calculations under each step using 2 spaces
7. Draw a separator line (─────) before the final answer
8. State the answer clearly — value + what it represents

Solve Example

Input: "Find the area of the parallelogram with vertices A(1,0,1), B(0,1,1), C(−1,0,1), D(0,−1,1)."

Output:

Question 51(b): Area of the Parallelogram

Vertices: A(1,0,1), B(0,1,1), C(−1,0,1), D(0,−1,1)
Find the area using the cross product of two adjacent edge vectors.

─────────────────────────────────────────────

Step 1: Construct Adjacent Edge Vectors
Choose vertex A as the base point. Compute the vectors to its two adjacent vertices B and D.

  AB = B − A = (0−1, 1−0, 1−1) = (−1, 1, 0)
  AD = D − A = (0−1, −1−0, 1−1) = (−1, −1, 0)

Step 2: Compute the Cross Product (AB × AD)
The area of the parallelogram equals the magnitude of the cross product of two adjacent edge vectors.

  AB × AD = det[ i |  j | k ;
                −1 |  1 | 0 ;
                −1 | −1 | 0 ]

  i component: (1)(0) − (0)(−1) = 0
  j component: −[(−1)(0) − (0)(−1)] = 0
  k component: (−1)(−1) − (1)(−1) = 1 − (−1) = 2

  AB × AD = (0, 0, 2)

Step 3: Calculate the Magnitude (Area)

  Area = ||AB × AD||
       = √(0² + 0² + 2²)
       = √4
       = 2

─────────────────────────────────────────────
Answer: Area = 2

Notes

• Never use LaTeX in Solve mode output — no $$, no \frac, no \mathbf. Everything must be readable as plain text.
• If given multiple questions, solve each one in full before moving to the next.
• If the input is already clean plain text with no LaTeX, default to Solve mode.
• If the input is a .md or .tex file, offer to save the output as a new file with _plain suffix.
• This skill can and should solve math in Solve mode — do not refuse to calculate.