Integer equation + natural numbers - math problems

Number of problems found: 46

  • Diofant equation
    diofantos In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
  • How many
    rectangles How many different rectangles with integer page lengths have an area S = 60 cm²?
  • Sinus
    sine_cosine Determine the smallest integer p for which the equation 4 sin x = p has no solution.
  • Solve 2
    numbers2_47 Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15)
  • Divisibility
    dots Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.
  • Year 2018
    new_year The product of the three positive numbers is 2018. What are the numbers?
  • Diofant 2
    1diofantos Is equation ? solvable on the set of integers Z?
  • Diofant equation
    eq222_19 250x + 120y = 5640
  • Z9-I-4
    numbers_30 Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
  • Find x 2
    sphere Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
  • Modulo
    modulo Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
  • Real estate
    house The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers.
  • Bikes
    bicycle_gears Pepa asked Honza how many bikes he had. He replied that he had three-quarters of their total number and another three-quarter of one bike. So how many bikes does Honza have?
  • Age
    age_5 In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
  • Seedcake
    pletenky Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
  • Cherries
    visne Cherries in the bowl can be divided equally among 19 or 13 or 28 children. How many are the minimum cherries in the bowl?
  • Rectangles
    rectangles_1 How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
  • There
    lopticky_2 There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears
  • Self-counting machine
    nisa_Samopočet The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again and he got 2198. Therefore, he a
  • 600 pencils
    fixy_2 600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

Do you solve Diofant problems and looking for a calculator of Diofant integer equations? Integer equation - math problems. Natural numbers - math problems.