Puzzle 43 - Rooted in Mystery

Puzzle:

[Solution: Figure out the name of each song in order, aided by the clues on slide 3. Then, teams solve the riddles on slide 2 to result in a flower name (featured on slide 4). Combining the song, clue, and flower terms (in the order that the slides appear) forms 5 equations. Teams should algebraically (or using the help of online resources) solve for the roots of each equation. Flavortext clues teams to turn negative roots into positives as well; then, teams will notice that each pair of roots (now positive) correspond to one of the images on the last slide, which contains both roots. Reading the roots left to right and translating numbers to letters gives STICKCOALMC, or the answer, TORCH.]