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Geometry
100

Solve for x: 2x + 5 = 11

x = 3

100

Evaluate: sin(30°)

1/2

100

Differentiate: f(x) = x^2

f'(x) = 2x

100

What is 12 × 8?

96

100

What is the perimeter of a square with side length 6?

24

200

Solve for y: 3y - 7 = 11

Y = 6

200

Evaluate: cos(60°)

1/2

200

Integrate: ∫ 2x dx

x^2 + C

200

What is the area of a rectangle with length 7 and width 4?

28

200

What is the area of a triangle with base 10 and height 4?

20

300

Solve for x: 2x² + 3x - 2 = 0

 x = -2 or x = 0.5

300

solve for θ (0° ≤ θ < 360°): sin(θ) = 0

θ = 0°, 180°

300

Evaluate the limit: lim_{x→0} (sin x)/x


 1

300

What is the square root of 225?

15

300

What is the circumference of a circle with radius 7? (Use π)

14π

400

Solve for x: (x - 4)(x + 2) = 12

x = 6 or x = -4

400

Solve for θ (0° ≤ θ < 360°): cos(θ) = √3/2

θ = 30°, 330°


400

Differentiate using the chain rule: y = (3x + 2)^5

dy/dx = 15(3x + 2)^4

400

A bag has 5 red marbles and 7 blue marbles. If you pick one at random, what is the probability it is red?

5/12

400

What is the length of the hypotenuse of a right triangle with legs 9 and 12?

15

500

Solve for x: (x + 1)/(x - 2) = 3

 x = 2.5

500

Solve for θ (0° ≤ θ < 360°): 2sin(θ) - 1 = 0

θ = 30°, 150°

500

Evaluate the definite integral: ∫_{0}^{1} x e^{x^2} dx

(1/2)(e - 1)

500

Convert 3/8 into a decimal.

0.375

500

What is the volume of a sphere with radius 3? (Use π)

36π

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