Chain Reaction – Level 1 – Hard

Topics: answer box, chain, question, sequential reasoning

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 + 2)(2x – 1) + (x + 5)² = -x² + 13x – 39

A =

2) Use your answer from Q1 as “a”. Now solve: (a + x)(x – 1)(x + 5) + (x + 2)(x – 7) = x3 + 16x² + 38x – 93

B =

3) Use your answer from Q2 as “b”. Find the coefficient of x in the expansion of: (2x + 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 + 7x – 24

D =

5) Use your answer from Q4 as “d”. Now factorise: 1x² + dx + 60

E =

Additional instructions for Chain Reaction (Level 1, Hard)

Chain Reaction – Hard

Proof-check finish: once you reach the final answer, verify the chain like a domino run.

Pick a mid-chain value (e.g. c) and confirm it really came from the previous step.
Confirm each substitution step used the correct labelled value.
Ensure any “form” answers (factorised / simplified / coefficient) match what the question asked for.

If anything fails: the mistake is usually at the first step where you expanded brackets or moved terms across an equals sign.

Concepts covered in this puzzle:

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