Five times a number is equal to another number. Their difference is 52. Find the smaller number.

Five times a number is equal to another number. Their difference is 52. Find the smaller number.

unknown values: y

equation: 5*x = y

equation: x - y = 52

answer: 13 | -65

If y = 3x + 2 and y = -4 -6x what is the value of y?

unknown values: y

equation: y = 3*x + 2

equation: y = -4 -6*x

answer: 0

The sum of two numbers is 26 and their product is 48. The sum of their reciprocals is?

unknown values: s

equation: m + n = 26

equation: mn = 48

equation: s = 1/m + 1/n

answer: 13/24 | 0.542

how many permutations of digits in the number 12345 will make an even number?

unknown values: n

equation: n = 2 * (4 * 3 * 2 * 1)

answer: 48

Find the real number solutions of the equation x^3 + 3x^2 - x - 3 = 0

unknown values: x

equation: x^3 + 3*x^2 - x - 3 = 0

answer: {1; -1; -3}

Two angels are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. What is the measure of the smaller angle and what is the measure of the other angle?

unknown values: x,y

equation: x+y=90

equation: x + y/2 = 68

answer: 44; 46

there are four numbers. the first three terms form an arithmetic progression while the last three terms form a geometric progression. the sum of the 1st and the 3rd term is 2 while the sum of the 2nd and 4th term is 26. what are these numbers?

unknown values: a,b,c,d

equation: b - a = c - b

equation: c/b = d/c

equation: a + c = 2

equation: b + d = 26

answer: -3; 1; 5; 25 or 7; 1; -5; 25

how many 1/4 ounces are in 56 pounds?

unknown values: x

equation: x*(1/4) = 56 * 16

answer: 3584

what is the value for x in the following linear system of equations?x - y = 52x + y = 7

unknown values: x

equation: x - y = 5

equation: 2*x + y = 7

answer: 4

What number minus one-half is equal to negative one-half ?

unknown values: x

equation: x - 1/2 = -1/2

answer: 0