Find three consecutive odd integers such that twice the sum of the second and the third is 43 more than three times the first.

Find three consecutive odd integers such that twice the sum of the second and the third is 43 more than three times the first.

unknown values: 2*n+1, 2*n+3, 2*n+5

equation: 2((2*n+3) + (2*n+5)) = 43 + 3(2*n+1)

answer: 31; 33; 35

Suppose f is a function that satisfies 1/x f(-x)+ f(1/x) = 2x for all x different from 0. What is the value of f(2)?

unknown values: f(2)

equation: -1/2*f(2) + f(-1/2) = -4

equation: 2*f(-1/2) + f(2) = 1

answer: 9/2 | 4.5

The sum of two numbers is 4. The sum of their squares is 18. WHat is the smaller of the two numbers?

unknown values: y

equation: x + y = 4

equation: x^2 + y^2 = 18

equation: x >y

answer: 4.236

what is the difference between the sum of the first 2004 positive integers and the sum of the next 2004 positive?

unknown values: d

equation: d = 2004 * (1 + 2004 - 1)

answer: 4016016

the sum of 2/3 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.

unknown values: n

equation: 2/3 + 4*n = 5*n - 5/6

answer: 3/2 | 1.5

Solve the following number riddle.a.) I am a positive integer.b.) All my digits are odd.c.) I am equal to the sum of the cubes of my digits.d.) I am less than 300.Who am I?

unknown values: n

equation: n = 100*a + 10*b + c

equation: n = a^3 + b^3 + c^3

answer: 1 or 153

If 3x - 1 = 11, what is the value of x^2 + x?

unknown values: y

equation: 3*x - 1 = 11

equation: y = x^2 + x

answer: 20

Find the difference between the product of 26/22 and 3.09 and the sum of 3,507.00, 2.08, 11.50 and 16,712.00

unknown values: x

equation: x = 26/22 * 3.09 - (3507.00 + 2.08 + 11.50 + 16,712.00)

answer: -22251821/1100 | -20228.928

What is 5/9 times 36?

unknown values: x

equation: x = 5/9 * 36

answer: 20

what number is 5 sixths of 100?

unknown values: x

equation: x = 5/6 * 100

answer: 250/3 | 83.333