Find four consecutive odd integers so that the sum of smallest integer and the largest integer is the same as the sum of the four integers?

Find four consecutive odd integers so that the sum of smallest integer and the largest integer is the same as the sum of the four integers?

unknown values: x, y, z, m

equation: x + 2 = y

equation: y + 2 = z

equation: z + 2 = m

equation: x + m = x + y + z + m

answer: -3; -1; 1; 3

What is the product of 3+2/3 and 14+2/5?

unknown values: x

equation: x = (3+2/3) * (14+2/5)

answer: 264/5 | 52.8

When the product of 1/3 and 1/2 is subtracted from the sum of 1/3 and 1/2, what is the difference?

unknown values: x

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

answer: 2/3 | 0.667

What is the number x in 2+x/7 = 20/7?

unknown values: x

equation: 2+x/7 = 20/7

answer: 6

The sum of two consecutive integers is -313. Find the larger integer?

unknown values: y

equation: x + 1 = y

equation: x + y = -313

answer: -156

If x + y = 4, and x + z = 9, what is the value of ( y - z)?

unknown values: y-z

equation: x + y = 4

equation: x + z = 9

answer: -5

How many positive integers less than 1,000 do not have 7 as any digit?

unknown values: n

equation: n = 9 * 9 * 9 - 1

answer: 728

In an arithmetic progression, the 8th term is three times the 3rd term and the 10th term is 19. Find the common difference and the sum of the terms from the 3rd to the 9th term inclusive.

unknown values: d,s

equation: a + (8-1)*d = 3(a + (3-1)*d)

equation: a + (10 - 1)*d = 19

equation: s = ((a + (3-1)*d) + (a + (9-1)*d))*(9-3+1)/2

answer: 2; 77

The sum of one half of a number, one third of that number, and one fourth of the same number is one tenth. What is the number?

unknown values: x

equation: 1/2*x + 1/3*x + 1/4*x = 1/10

answer: 6/65 | 0.0923

The sum of two numbers is 18 and their difference is 4. What are the two numbers?

unknown values: x,y

equation: x+y=18

equation: x-y=4

answer: {11; 7}