Suppose the 6 digit number 18abc2 can be divided evenly by both 17 and 31. Find the largest possible value for a+b+c
The sum of 2018 and a 3-digit number is a square number. Find the smallest possible value of the 3- digit numbers
Find the remainder when a 2000-digit number 20192019....2019 is divided by 7
The lengths of three sides of a triangle are all primes, and the perimeter of the triangle is 17. Find the sum of all possible value(s) of the second longest side.
in a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is
Lesson 1: analyzing the polynomial factors.
Notes + 2 x-1
x 3 + 6x2 + 11x + 6
x 4 + 2 x 2-3
AB + ac + b2 + 2bc + c2
A3-b3 + c3 + 3abc
Lesson 2: for functions:
search conditions of x to A means.
A shortening.
Computer x to A < 1.
Post 3: prove the inequality:
For a + b + c = 0. Prove that: a3 + b3 + c3 = 3abc.
For a, b, c are the sidelengths of the triangle. Proof that:
Prove that x 5 + y5 ≥ x4y + xy4 with x, y ≠ 0 and x + y ≥ 0
Lesson 4: solve the equation:
x 2-3 x + 2 + | x-1 | = 0
Lesson 5: find the largest and smallest value (if any)
A = x 2-2 x + 5
B =-2 x 2-4 x + 1.
C =
Lesson 6: calculate the value of expression.
Know a – b = 7 feature: A = (a + 1) a2-b2 (b-1) + ab-3ab (a-b + 1)
For three numbers a, b, c is not zero catches up deals for equality:
Computer: P =
Article 7: proof that
8351634 + 8241142 divisible 26.
A = n3 + 6n2-19n-24 divisible by 6.
B = (10n-9n-1) divisible 27 with n in N *.
Article 8:
In the motorcycle race three cars depart at once. The second car in a one-hour run slower than the first car 15 km and 3 km third cars. rapidly should the destination more slowly the first car 12 minutes and the third car earlier today. No stops along the way. Calculate the speed of each car, race distance and the time each car
The lengths of three sides of a triangle are all primes, and the perimeter of the triangle is 4343. Find the sum of all possible value(s) of the longest side.
1.Find the greatest negative integer value for n so that:
n4 - 25n2 - 70n - 49
2.Toán tiếng anh: If the length of a leg of a right angle is 11 and the lengths of the other two side are both positive integers, then the perimeter of a triangle is.............
Suppose n is a positive integer and 3 arbitrary numbers are choosen from the set {1, 2, 3, . . . , 3n+ 1} with their sum equal to 3n + 1. What is the largest possible product of those 3 numbers?
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