find four consecutive odd integers such that the sum of the 4 is 3 more than 3 times the fourth integer

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

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

answer: 9; 11; 13; 15

find the larger of two consecutive integers if the second is 13 less than twice the smaller

unknown values: x+1

equation: (x+1)+13=2*x

answer: 15

the sum of four consecutive odd numbers is 128. Then the smallest number is?

unknown values: 2*k-3

equation: 2*k-3+2*k-1+2*k+1+2*k+3=128

answer: 29

when three times a number is added to the square of the number the result is 10. Find the number.

unknown values: n

equation: n^2 + 3*n = 10

answer: 2 or -5

What is the largest number which is the product of two positive integers whose sum is 2005?

unknown values: x*(x+1)

equation: x + x+1 = 2005

answer: 1005006

Find two consecutive integers such that half the smaller plus three times the larger is -32

unknown values: x,x+1

equation: x/2+3*(x+1)=-32

answer: -10; -9

find three consecutive numbers whose sum is nine greater than the largest number

unknown values: k,k+1,k+2

equation: k+(k+1)+(k+2) = 9 + (k+2)

answer: 4; 5; 6

3 consecutive even integers are given by x, x+2, and x+4.Find these three numbers such that the sum of the first, two times the second, and three times the third is 124.

unknown values: x, x+2, x+4

equation: x + 2(x+2) + 3(x+4) = 124

answer: 18; 20; 22

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244.

unknown values: n,n+1,n+2

equation: (n+2) + 5*n = -244

answer: -41; -40; -39

find the three consecutive integers whose sum is 99

unknown values: x,x+1,x+2

equation: x + (x+1) + (x+2) = 99

answer: 32;33;34