If the first and third of 3 consecutive odd integers are added, the result is 57 less than 5 times the second integer. Find the 3rd integer.

unknown values: 2*k+3

equation: (2*k-1)+(2*k+3)=5*(2*k+1)-57

answer: 21

The sum of two numbers is 87. Three times the smaller plus twice the larger is 216. Find the larger number.

unknown values: y

equation: x+y=87

equation: 3*x+2*y=216

answer: 45

There are 3 consecutive integers such that 3 times the sum of the first and third is 5 times the second. What is the third integer?

unknown values: x+1

equation: 3*((x-1)+(x+1))=5*x

answer: 1

The sum of two consecutive even integers is 62. Find the larger number.

unknown values: 2*k+2

equation: 2*k+(2*k+2)=62

answer: 32

12 divided by 3+ 18 divided by 2

unknown values: x

equation: x=12/3+18/2

answer: 13

The number 2002 is equal to the sum of 7 consecutive natural numbers. What is the smallest of these 7 numbers?

unknown values: x-3

equation: x-3+x-2+x-1+x+x+1+x+2+x+3=2002

answer: 283

The sum of two consecutive even integers is equal to 30. What is the smaller integer?

unknown values: 2*k

equation: (2*k)+(2*k+2)=30

answer: 14

Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth.

unknown values: 2*k-3,2*k-1,2*k+1,2*k+3,2*k+5

equation: (2*k-3)+(2*k+5)=3*(2*k+3)-1

answer: -9; -7; -5; -3; -1

find 2 consecutive even integers such that eleven more than half the second integer results in the first integer.

unknown values: 2*k,2*k+2

equation: (2*k+2)*1/2+11=2*k

answer: 24; 26

the sum of 3 consecutives odd integers is 40 more than the smallest. What are the integers?

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

equation: 2*k+1+2*k+3+2*k+5=2*k+1+40

answer: 17;19;21