Chain Reaction – Level 1 – Hard

Topics: answers, chain, dependency chain, multi-step reasoning, questions

Each answer you find is used inside the next question. Work through the full chain carefully – if you get one wrong, it affects the rest!

1) Solve: -(x – 4)(2x – 2) + (x + 3)² = -x² + 21x – 34

A =

2) Use your answer from Q1 as “a”. Now solve: (a + x)(x – 1)(x + 5) + (x + 2)(x – 7) = x3 + 12x² + 21x – 67

B =

3) Use your answer from Q2 as “b”. Find the coefficient of x in the expansion of: (x + b)(x + 4)

C =

4) Use your answer from Q3 as “c”. Now solve: (x + 3)² – (x – 1)(x + 7) + c(x – 2) + 2x(x – 5) – (x + 4)(x – 5) = x² + 4x + 73

D =

5) Use your answer from Q4 as “d”. Now factorise: 3x² + dx + -72

E =

Additional instructions for Chain Reaction (Level 1, Hard)

Chain Reaction – Hard

Use a two-column layout: it keeps complex chains manageable.

Why it helps: you can instantly see whether you’re using the right input at each stage, and you reduce accidental mix-ups.

Concepts covered in this puzzle:

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