Integer equation - math word problems

Number of problems found: 77

  • Integer sides
    rt_triangle_1 A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
  • 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)
  • Integer
    abs1 Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
  • How many
    rectangles How many different rectangles with integer page lengths have an area S = 60 cm²?
  • Square Number
    squared-number If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
  • 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.
  • 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)
  • Sinus
    sine_cosine Determine the smallest integer p for which the equation 4 sin x = p has no solution.
  • Diofant 2
    1diofantos Is equation ? solvable on the set of integers Z?
  • Diofant equation
    eq222_19 250x + 120y = 5640
  • Primes 2
    18-785s07 For what primes p,q,r is true: p2-(q+r)2=647
  • 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
  • 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 .
  • Number
    fractions_1 Calculate the integer number which, divided by 34 gives 10 and the rest 25.
  • Two integers
    x-5-x-3-graph Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
  • 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.
  • Digit sum
    cisla_7 How many are three-digit numbers that have a digit sum of 6?
  • Friends
    friends2 Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
  • Cottages
    chatky The summer camp is 41 cottages. Rooms are for three and for four in them. How many of the 140 campers lives of three?
  • Year 2018
    new_year The product of the three positive numbers is 2018. What are the numbers?

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?