{
  "problem": "Simplify the following expression: $n = \\dfrac{r^2 - 6r + 5}{r - 5} $",
  "hints": [
    "First factor the polynomial in the numerator.",
    "$ r^2 - 6r + 5 = (r - 5)(r - 1) $",
    "So we can rewrite the expression as:",
    "$n = \\dfrac{(r - 5)(r - 1)}{r - 5} $",
    "We can divide the numerator and denominator by",
    "$(r - 5)$",
    "on condition that",
    "$r \\neq 5$",
    "Therefore $n = r - 1; r \\neq 5$"
  ]
}
{'source': 'AMPS', 'file': 'amps/khan/504/1608132905.json'}