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If $x$ is an integer, then how many values of $x$ will satisfy the equation $||x-10|-6|=4?$

by AAPL » Thu Jul 02, 2026 2:47 pm

Last post by AAPL
Thu Jul 02, 2026 2:47 pm

If $x$ is an integer, how many solutions exist for the equation $|x|+|x+1|=|x|!\,?$

by AAPL » Thu Jul 02, 2026 2:17 pm

Last post by AAPL
Thu Jul 02, 2026 2:17 pm

Algebra

by swerve » Wed Jul 01, 2026 7:08 pm

Last post by swerve
Wed Jul 01, 2026 7:08 pm

Algebra, Functions and Custom Characters

by swerve » Wed Jul 01, 2026 6:50 pm

Last post by swerve
Wed Jul 01, 2026 6:50 pm

Algebra

by swerve » Wed Jul 01, 2026 6:28 pm

Last post by swerve
Wed Jul 01, 2026 6:28 pm

A four-digit number using the digits $3, 4, 6,$ and $7$ without repetition is formed. All the possible numbers so

by BTGmoderatorLU » Wed Jul 01, 2026 1:25 pm

Last post by BTGmoderatorLU
Wed Jul 01, 2026 1:25 pm

What is the maximum number of $3 \times 3$ squares that can be formed from the squares in a $6 \times 6$ checker

by BTGmoderatorLU » Wed Jul 01, 2026 12:58 pm

Last post by BTGmoderatorLU
Wed Jul 01, 2026 12:58 pm

$A$ can do a work in $20$ days. $B$ can do the same work in $30$ days. In how many days can $A$ and $B$ do

by AAPL » Tue Jun 30, 2026 3:22 pm

Last post by AAPL
Tue Jun 30, 2026 3:22 pm

If Dan can make $10$ widgets every $15$ seconds, how many widgets can Dan make in $1$ hour, working at this

by AAPL » Tue Jun 30, 2026 2:55 pm

Last post by AAPL
Tue Jun 30, 2026 2:55 pm

The preceding table shows a business’s spending over a $25$-day period, in thousands of dollars. For each number

by BTGmoderatorLU » Sun Jun 28, 2026 12:17 pm

Last post by BTGmoderatorLU
Sun Jun 28, 2026 12:17 pm

A basketball team averaged $z$ points per game for $q$ games. If the team scored $100$ points in its next game,

by BTGmoderatorLU » Sun Jun 28, 2026 11:51 am

Last post by BTGmoderatorLU
Sun Jun 28, 2026 11:51 am

A bowl contains one marble labeled $0,$ one marbel labebled $1,$ one marbel labeled $2,$ and one marbel labeled

by AAPL » Sat Jun 27, 2026 1:56 pm

Last post by AAPL
Sat Jun 27, 2026 1:56 pm

There are a total of $10$ sandwiches in a picnic hamper, $5$ of which are ham, $3$ of which are roast beef, and

by AAPL » Sat Jun 27, 2026 1:31 pm

Last post by AAPL
Sat Jun 27, 2026 1:31 pm

Exponents, Remainders

by swerve » Fri Jun 26, 2026 6:20 pm

Last post by swerve
Fri Jun 26, 2026 6:20 pm

Remainders

by swerve » Fri Jun 26, 2026 5:58 pm

Last post by swerve
Fri Jun 26, 2026 5:58 pm

Remainders

by swerve » Fri Jun 26, 2026 5:41 pm

Last post by swerve
Fri Jun 26, 2026 5:41 pm

There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5...

by AAPL » Sat May 16, 2020 9:43 am

Last post by ygcrowanhand
Fri Jun 26, 2026 7:13 am

A tank is normally filled in $6$ hours but takes $4$ more to fill due to a leakage at the bottom. In how much time

by BTGmoderatorLU » Thu Jun 25, 2026 12:02 pm

Last post by BTGmoderatorLU
Thu Jun 25, 2026 12:02 pm

Lamont traveled $80$ miles in $2.5$ hours, at a constant rate. He then decreased his speed by $25\%$ and traveled

by BTGmoderatorLU » Thu Jun 25, 2026 11:27 am

Last post by BTGmoderatorLU
Thu Jun 25, 2026 11:27 am

Cost per person?

by Vincen » Tue Sep 12, 2017 11:20 am

Last post by ygcrowanhand
Wed Jun 24, 2026 3:49 am

Which of the following ranges of numbers includes the greatest number of prime numbers?

by AAPL » Mon Jun 22, 2026 6:11 pm

Last post by AAPL
Mon Jun 22, 2026 6:11 pm

In a family of four people, none of the people is the same age, but all are a prime number of years old. Two of the

by AAPL » Mon Jun 22, 2026 5:55 pm

Last post by AAPL
Mon Jun 22, 2026 5:55 pm

A prime triple is a set of three consecutive prime numbers in which the first and last number differ by six. Which of

by AAPL » Mon Jun 22, 2026 5:33 pm

Last post by AAPL
Mon Jun 22, 2026 5:33 pm

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepper

by BTGModeratorVI » Sun Aug 02, 2020 6:53 am

Last post by ygcrowanhand
Sun Jun 21, 2026 4:40 am

Probability

by swerve » Sat Jun 20, 2026 5:41 pm

Last post by swerve
Sat Jun 20, 2026 5:41 pm

Probability

by swerve » Sat Jun 20, 2026 5:07 pm

Last post by swerve
Sat Jun 20, 2026 5:07 pm

On the $xy$-coordinate plane, point $A$ lies on the $y$-axis and point $B$ lies on the $x$-axis. Points

by BTGmoderatorLU » Fri Jun 19, 2026 5:10 am

Last post by BTGmoderatorLU
Fri Jun 19, 2026 5:10 am

The figure above shows the graph of a certain equation in the $xy$-plane. The graph is a circle with center $O$ and

by BTGmoderatorLU » Fri Jun 19, 2026 4:39 am

Last post by BTGmoderatorLU
Fri Jun 19, 2026 4:39 am

Which of the following inequalities is the solution to the inequality $7x - 5 < 12x + 18?$

by AAPL » Thu Jun 18, 2026 2:50 pm

Last post by AAPL
Thu Jun 18, 2026 2:50 pm

How many integers $n$ satisfy the absolute value inequality $|4n - 3| \leq 2?$

by AAPL » Thu Jun 18, 2026 2:25 pm

Last post by AAPL
Thu Jun 18, 2026 2:25 pm

Word Problems

by swerve » Wed Jun 17, 2026 7:29 am

Last post by swerve
Wed Jun 17, 2026 7:29 am

Word Problems

by swerve » Wed Jun 17, 2026 7:04 am

Last post by swerve
Wed Jun 17, 2026 7:04 am

Word Problems

by swerve » Wed Jun 17, 2026 6:39 am

Last post by swerve
Wed Jun 17, 2026 6:39 am

What is the sum of the squares of the first two positive odd integers if the sum of squares of the first two positive

by BTGmoderatorLU » Tue Jun 16, 2026 6:36 pm

Last post by BTGmoderatorLU
Tue Jun 16, 2026 6:36 pm

The following represents the verbal scores of $30$ test-takers in a popular test.

by BTGmoderatorLU » Tue Jun 16, 2026 6:19 pm

Last post by BTGmoderatorLU
Tue Jun 16, 2026 6:19 pm

The arithmetic mean of $3x-8$ and another number is $5x.$ The arithmetic mean of the other number and $3x$ is

by BTGmoderatorLU » Tue Jun 16, 2026 5:57 pm

Last post by BTGmoderatorLU
Tue Jun 16, 2026 5:57 pm

A motorist travels $x$ miles in $y$ hours and $z$ minutes. What is his average speed in miles per hour?

by AAPL » Sat Jun 13, 2026 7:16 am

Last post by AAPL
Sat Jun 13, 2026 7:16 am

If a cyclist can cover $x$ meters in $t$ munites at $r_1$ meters per minute, and $2x$ meters in $4t$ minutes

by AAPL » Sat Jun 13, 2026 6:42 am

Last post by AAPL
Sat Jun 13, 2026 6:42 am

Arithmetic, Number Properties

by swerve » Wed Jun 10, 2026 5:34 pm

Last post by swerve
Wed Jun 10, 2026 5:34 pm

Arithmetic

by swerve » Wed Jun 10, 2026 4:54 pm

Last post by swerve
Wed Jun 10, 2026 4:54 pm

If $x$ is the least of three consecutive even integers, what is the product of these three integers in terms of $x?$

by BTGmoderatorLU » Thu May 21, 2026 11:14 am

Last post by BTGmoderatorLU
Thu May 21, 2026 11:14 am

If the value of the expression above is to be doubled by halving exactly one of the five variables, which variable

by BTGmoderatorLU » Thu May 21, 2026 10:47 am

Last post by BTGmoderatorLU
Thu May 21, 2026 10:47 am

The sum of the squares of the first $n$ positive integers $1^2+2^2+3^2+\ldots+n^2$ is $n\dfrac{(n+1)(2n+1)}{6}.$

by AAPL » Mon May 18, 2026 5:45 pm

Last post by AAPL
Mon May 18, 2026 5:45 pm

In a sequence of $19$ numbers, each term except for the first one is greater than the previous term by $9.$ If the

by AAPL » Mon May 18, 2026 5:14 pm

Last post by AAPL
Mon May 18, 2026 5:14 pm

Probability

by swerve » Fri May 08, 2026 6:59 pm

Last post by swerve
Fri May 08, 2026 6:59 pm

Probability

by swerve » Fri May 08, 2026 6:33 pm

Last post by swerve
Fri May 08, 2026 6:33 pm

Mark and Kate individually take $12$ hours more and $27$ hours more, respectively, to complete a certain project

by BTGmoderatorLU » Fri May 08, 2026 5:16 am

Last post by BTGmoderatorLU
Fri May 08, 2026 5:16 am

A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed, then the inlet pipe fills the empty tank in

by BTGmoderatorLU » Fri May 08, 2026 4:39 am

Last post by BTGmoderatorLU
Fri May 08, 2026 4:39 am

The figure shows that $OABC$ is a parallelogram. What is the equation of the line passing through $A$ and $C?$

by AAPL » Tue May 05, 2026 6:48 am

Last post by AAPL
Tue May 05, 2026 6:48 am

What is the slope of the line defined by the equation $2x-3y=9?$

by AAPL » Tue May 05, 2026 6:09 am

Last post by AAPL
Tue May 05, 2026 6:09 am

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