Physics Score Adjustments

Problem Description

A physics instructor is grading a curve adjustment for a recent exam. Several students scored below expectations, and the instructor wants to apply correction formulas involving negative adjustments and grouped terms. She needs the final adjusted scores worked out clearly so she can enter them into the gradebook and show her work to students who appeal.

The formulas involve negative values and parenthesized groups with signs in front of them, which she wants double-checked carefully.

Adjustment Formulas to Evaluate

Work through each of the following score adjustments. The variable s represents a base score value in each problem. Write the solutions to score_adjustments.md.

1. A student's raw score needs this adjustment applied: -5 * -3 + 10. What is the result?
2. Another adjustment formula is: 50 - -(8 + 2). The instructor wants the final value.
3. A combined formula for a third student: -3 * (4 + 2) + -(1 + 4). What is the result?
4. A final check: (-2)^3 + -(6 - 10). What is the result?

For each formula, provide the full worked solution.

Output Specification

Write all solutions to score_adjustments.md. Show the complete calculation for each formula and state each final value clearly.