Integer equation - math problems
Number of problems found: 87
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
- Diofant equation
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)
Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
- How many
How many different rectangles with integer page lengths have an area S = 60 cm²?
- Square Number
If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Diofant equation
250x + 120y = 5640
- Diofant 2
Is equation ? solvable on the set of integers Z?
Calculate the integer number which, divided by 34 gives 10 and the rest 25.
- Primes 2
For what primes p,q,r is true: p2-(q+r)2=647
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Solve 2
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)
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
- Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
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
In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
How many times a day hands on a clock overlap?
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