3/13 - 5/11 - 1,5 + 10/13 - 6/11

a) To solve this expression, we need to find a common denominator for the fractions. The common denominator for 13 and 11 is 143.

3/13 - 5/11 - 1.5 + 10/13 - 6/11
= (3*11)/(13*11) - (5*13)/(11*13) - (1.5*143)/143 + (10*11)/(13*11) - (6*13)/(11*13)
= 33/143 - 65/143 - 214.5/143 + 110/143 - 78/143
= (33 - 65 - 214.5 + 110 - 78)/143
= -214.5/143
= -1.5

b) To solve this expression, we need to simplify the fractions and then perform the division.

25 3/19 : (-5/4) - 5 3/5
= (25*19 + 3)/19 : (-5/4) - (5*5 + 3)/5
= (475 + 3)/19 : (-5/4) - (25 + 3)/5
= 478/19 : (-5/4) - 28/5
= 478/19 * (-4/5) - 28/5
= -1912/95 - 28/5
= (-1912*5 - 28*95)/95*5
= (-9560 - 2660)/475
= -12220/475

c) To solve this equation, we need to find the values of x that make the equation equal to zero.

(3/2 - 2x)(5x - 15/4) = 0

Setting each factor equal to zero:

3/2 - 2x = 0
5x - 15/4 = 0

Solving the first equation:

3/2 - 2x = 0
2x = 3/2
x = 3/4

Solving the second equation:

5x - 15/4 = 0
5x = 15/4
x = 3/4

Therefore, the solution to the equation is x = 3/4.

d) To solve this equation, we need to find the value of x that satisfies the equation.

(x-1)^3 = -1/27

Taking the cube root of both sides:

x-1 = -1/3

Adding 1 to both sides:

x = -1/3 + 1
x = -1/3 + 3/3
x = 2/3

Therefore, the solution to the equation is x = 2/3.