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Problem Analysis:

The worksheet involves set operations, specifically union (`∪`) and intersection (`∩`). Here's a brief overview of these operations:
- Union (`∪`): The union of two sets contains all the elements that are in either of the sets, without repetition.
- Intersection (`∩`): The intersection of two sets contains only the elements that are common to both sets.

We will solve each problem step by step.

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Problem 1: Find \( B \cup C \)

#### Given:
\[ B = \{14, 9, 10, -4, -11\} \]
\[ C = \{-10, -4, -1, -12, -3, 10\} \]

#### Solution:
To find \( B \cup C \), combine all elements from \( B \) and \( C \), removing any duplicates.
- Elements in \( B \): \( 14, 9, 10, -4, -11 \)
- Elements in \( C \): \( -10, -4, -1, -12, -3, 10 \)

Combining these:
\[ B \cup C = \{14, 9, 10, -4, -11, -10, -1, -12, -3\} \]

#### Final Answer:
\[ \boxed{\{14, 9, 10, -4, -11, -10, -1, -12, -3\}} \]

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Problem 2: Find \( E \cup B \)

#### Given:
\[ E = \{6, 12, -3, -14, 1, -8\} \]
\[ B = \{-8, 11, -12, 8, 7, 3\} \]

#### Solution:
To find \( E \cup B \), combine all elements from \( E \) and \( B \), removing any duplicates.
- Elements in \( E \): \( 6, 12, -3, -14, 1, -8 \)
- Elements in \( B \): \( -8, 11, -12, 8, 7, 3 \)

Combining these:
\[ E \cup B = \{6, 12, -3, -14, 1, -8, 11, -12, 8, 7, 3\} \]

#### Final Answer:
\[ \boxed{\{6, 12, -3, -14, 1, -8, 11, -12, 8, 7, 3\}} \]

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Problem 3: Find \( J \cup A \)

#### Given:
\[ J = \{-10, 0, 13, -9, 3, -15\} \]
\[ A = \{-13, 8, -3, -2, 2, 4\} \]

#### Solution:
To find \( J \cup A \), combine all elements from \( J \) and \( A \), removing any duplicates.
- Elements in \( J \): \( -10, 0, 13, -9, 3, -15 \)
- Elements in \( A \): \( -13, 8, -3, -2, 2, 4 \)

Combining these:
\[ J \cup A = \{-10, 0, 13, -9, 3, -15, -13, 8, -3, -2, 2, 4\} \]

#### Final Answer:
\[ \boxed{\{-10, 0, 13, -9, 3, -15, -13, 8, -3, -2, 2, 4\}} \]

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Problem 4: Find \( F \cup C \)

#### Given:
\[ F = \{14, -6, -1, -13, 0, 13\} \]
\[ C = \{-1, 1, 2, -4, -14\} \]

#### Solution:
To find \( F \cup C \), combine all elements from \( F \) and \( C \), removing any duplicates.
- Elements in \( F \): \( 14, -6, -1, -13, 0, 13 \)
- Elements in \( C \): \( -1, 1, 2, -4, -14 \)

Combining these:
\[ F \cup C = \{14, -6, -1, -13, 0, 13, 1, 2, -4, -14\} \]

#### Final Answer:
\[ \boxed{\{14, -6, -1, -13, 0, 13, 1, 2, -4, -14\}} \]

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Problem 5: Find \( F \cap A \)

#### Given:
\[ F = \{7, 1, 11, 4\} \]
\[ A = \{11, -11, 4, 7\} \]

#### Solution:
To find \( F \cap A \), identify the elements that are common to both \( F \) and \( A \).
- Elements in \( F \): \( 7, 1, 11, 4 \)
- Elements in \( A \): \( 11, -11, 4, 7 \)

Common elements:
\[ F \cap A = \{7, 11, 4\} \]

#### Final Answer:
\[ \boxed{\{7, 11, 4\}} \]

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Problem 6: Find \( D \cap B \)

#### Given:
\[ D = \{14, -7, 9, -1\} \]
\[ B = \{15, 14, -3, 12, -1, -7\} \]

#### Solution:
To find \( D \cap B \), identify the elements that are common to both \( D \) and \( B \).
- Elements in \( D \): \( 14, -7, 9, -1 \)
- Elements in \( B \): \( 15, 14, -3, 12, -1, -7 \)

Common elements:
\[ D \cap B = \{14, -7, -1\} \]

#### Final Answer:
\[ \boxed{\{14, -7, -1\}} \]

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Final Answers:

1. \( \boxed{\{14, 9, 10, -4, -11, -10, -1, -12, -3\}} \)
2. \( \boxed{\{6, 12, -3, -14, 1, -8, 11, -12, 8, 7, 3\}} \)
3. \( \boxed{\{-10, 0, 13, -9, 3, -15, -13, 8, -3, -2, 2, 4\}} \)
4. \( \boxed{\{14, -6, -1, -13, 0, 13, 1, 2, -4, -14\}} \)
5. \( \boxed{\{7, 11, 4\}} \)
6. \( \boxed{\{14, -7, -1\}} \)