Solved Math Problems

Browse 50+ solved problems with detailed step-by-step explanations across all math topics.

Basic Arithmetic (5)Fractions (5)Percentages (5)Square Roots (5)Algebra (5)Quadratics (5)Trigonometry (5)Calculus - Derivatives (5)Calculus - Integrals (5)Geometry (5)

Basic Arithmetic

5 problems

25 + 37

156 - 89

12 × 15

144 ÷ 12

2⁸

Fractions

5 problems

1/2 + 1/3

3/4 - 1/6

2/3 × 3/4

5/6 ÷ 2/3

Simplify 24/36

Percentages

5 problems

15% of 80

25% of 200

What is 45 as a percentage of 180?

Increase 80 by 20%

Decrease 150 by 30%

Square Roots

5 problems

√144

√225

√81

√196

√625

Algebra

5 problems

Solve for x: 2x + 5 = 13

Solve for x: 3x - 7 = 14

Solve for x: 5x + 3 = 2x + 15

Solve for x: x² = 49

Answer: x = ±7

Solve for x: 2(x + 3) = 16

Quadratics

5 problems

Solve x² - 5x + 6 = 0

Answer: x = 2 or x = 3

Solve x² + 4x - 12 = 0

Answer: x = 2 or x = -6

Factor x² - 9

Answer: (x+3)(x-3)

Factor x² + 6x + 9

Answer: (x+3)²

Find vertex of y = x² - 4x + 3

Answer: (2, -1)

Trigonometry

5 problems

sin(30°)

cos(60°)

tan(45°)

sin(90°)

cos(0°)

Calculus - Derivatives

5 problems

Find derivative of x³ + 2x² - 5

Answer: 3x² + 4x

Find derivative of 5x⁴

d/dx of sin(x)

d/dx of eˣ

d/dx of ln(x)

Calculus - Integrals

5 problems

∫x² dx

Answer: x³/3 + C

∫3x² dx

Answer: x³ + C

∫cos(x) dx

Answer: sin(x) + C

∫eˣ dx

Answer: eˣ + C

∫1/x dx

Answer: ln|x| + C

Geometry

5 problems

Area of circle with radius 5

Answer: 25π ≈ 78.54

Circumference of circle with radius 7

Answer: 14π ≈ 43.98

Area of triangle: base 10, height 6

Pythagorean: find c when a=3, b=4

Volume of sphere with radius 3

Answer: 36π ≈ 113.1

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