Problem #452 was a wall. It involved proportions, percentages, and a cyclist who seemed to be traveling at an improbable speed. Maksim’s brain was foggy. He looked at his smartphone, its screen glowing like a forbidden treasure.
As he copied the steps for the cyclist's journey, Maksim felt a mix of relief and guilt. But then, he paused. The GDZ solution had a strange step—it multiplied by 0.75 without explaining why.
Forced to actually think, Maksim used the GDZ as a hint rather than a script. He traced the logic, found the error, and solved it himself using the correct numbers. He closed the tab, feeling like a hacker who had outsmarted both the textbook and the internet.
"Wait," Maksim whispered. "That’s not right. The discount was 15%, not 25%."
He realized the "ready-made" answer online was for an older edition of the book. If he had just mindlessly copied it, his teacher, Lyudmila Petrovna, would have caught him in seconds.
The next morning, when Lyudmila Petrovna asked who solved the "trick" problem #452, Maksim was the only one with his hand up. He didn't tell her about the website; he just told her that sometimes, you have to check the math twice.
The results flooded in instantly. He clicked the first link. There it was—a digital sanctuary of handwritten solutions and scanned pages. He scrolled past the ads for mobile games until he found the section for Chapter 5.
The clock on Maksim’s desk ticked toward 10:00 PM. Before him lay the dreaded "Mathematics 6" textbook, its cover adorned with the names Dorofeev and Sharygin —names that, to Maksim, represented the gatekeepers of his weekend.
