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# Question
How many degrees are in a circle?
# Solution
|
stop
| -11.107363
|
# Question
If 15 people attended class on Monday, 15 on Tuesday, and 10 each day from Wednesday through Friday, what is the average number of people who attended class each day?
# Solution
|
stop
| -7.041193
|
# Question
Jake has $4$ pieces of candy to give to his 5 friends. How many ways can he distribute the candy so that each friend receives at least one piece?
# Solution
|
stop
| -30.237964
|
# Question
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. If the box is filled with spherical balls that are 2.5 inches in diameter, what is the maximum number of balls that the box could hold?
# Solution
|
stop
| -21.177961
|
# Question
If 25% of a number is 15, what is 120% of the same number?
# Solution
|
stop
| -16.225408
|
# Question
The sum of the squares of three consecutive numbers is 149. What is the value of the largest number?
# Solution
|
stop
| -12.270323
|
# Question
A car travels at an average speed of 55 miles per hour. How far can it travel in 5 hours?
# Solution
|
stop
| -20.150827
|
# Question
A bus company has 10 buses. On a particular day, 5 buses are used. How many buses are not used that day?
# Solution
|
stop
| -26.201073
|
# Question
A computer retailer sells laptops for $2,500 each, and calculators for $50 each. If the computer retailer started out the month with 100 fewer calculators than laptops and sold exactly twice as many calculators as laptops that month, how many laptops were sold that month?
# Solution
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stop
| -44.369125
|
# Question
If $f(x)=x^2+5x+6$, what is $f(-3)$?
# Solution
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stop
| -15.95004
|
# Question
If 10 students were each given a bag of 12 marbles, with each bag having a different number of marbles, how many bags have 6 marbles?
# Solution
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stop
| -36.549908
|
# Question
Find the solutions to the equation $\displaystyle\frac{4}{5x + 2} = 1$.
# Solution
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stop
| -20.71828
|
# Question
A bakery sells 100 muffins per week. If there are 25 muffins left over at the end of the week, what is the least number of muffins the bakery could have sold during the week?
# Solution
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stop
| -33.605235
|
# Question
The profit $P$ (in dollars) that a company makes is $P = 10x - x^2 - 250$ where $x$ is the number of items produced and sold. Find the production level that will maximize the profit.
# Solution
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stop
| -32.08012
|
# Question
The sum of the first 100 natural numbers can be expressed as X * 100 + 5050. What is the value of unknown variable X?
# Solution
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stop
| -19.407985
|
# Question
A woman earns $15 per hour at her job, and she saves $100 per month. If she works for 5 months, how much money will she have saved at the end of the 5 months?
# Solution
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stop
| -34.581235
|
# Question
The figure above shows the graph of $y=f(x)$ with $f(1)=2$. The equation $y=f(x)$ is transformed to $y=g(x)$ by stretching the graph vertically by a factor of 3 and then reflecting in the $x$-axis. The graph of $y=g(x)$ intersects the graph of $y=f(x)$ at points $(-1,a)$ and $(b,3)$. What is the value of $a+b$?
# Solution
|
stop
| -44.103626
|
# Question
If a number is subtracted from 15 and the result is the same as when the number is added to 3, find the number.
# Solution
|
stop
| -21.636935
|
# Question
What is the remainder when $2^{2015}$ is divided by $5$?
# Solution
|
stop
| -9.013265
|
# Question
If 200 people attended a play and tickets for adults cost $10 and tickets for children cost $5, what is the total amount of money collected?
# Solution
|
stop
| -21.122052
|
# Question
There are 25 students in a class. The teacher asks the students to count how many people are taller than them. The tallest person counts 24. The second tallest person counts 23. The third tallest person counts 22. And so on. What is the average number of people taller than you?
If we know the answer to the above question is 2.4, what is the value of unknown variable x?
# Solution
|
stop
| -49.157233
|
# Question
Given that $f(x) = 3x + 1$, what is the value of $f(2)$?
# Solution
|
stop
| -3.690668
|
# Question
Sam has a 250-page book with 400 lines per page and 350 words per line. How many words are there in the book?
# Solution
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stop
| -36.020971
|
# Question
If $27=3^x$, what is the value of $x$?
# Solution
|
stop
| -14.458811
|
# Question
A ball is thrown upward from the ground. It is released 1.5 m above the ground with an initial velocity of 20 m/s. Find the maximum height of the ball.
# Solution
|
stop
| -28.641236
|
# Question
Jesse’s dad is thinking of a two-digit number. The sum of the digits of the number is 8. If the digits are reversed, the new number is 27 greater than the original number. What is the number?
# Solution
|
stop
| -24.224393
|
# Question
A certain recipe calls for 2 cups of sugar. However, the store does not have any sugar. Instead, the store has 1 cup of brown sugar and 1 cup of maple syrup. How many cups of water and brown sugar should be mixed to make enough sugar for the recipe?
# Solution
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stop
| -39.279752
|
# Question
What is the value of $\left\lceil\frac{2}{3}+\frac{2}{3}\right\rceil$ ?
# Solution
|
stop
| -15.12367
|
# Question
If $a\neq b$, then which of the following must be equal to $0$?
# Solution
|
stop
| -16.735315
|
# Question
In the 30-60-90 triangle, the hypotenuse is twice as long as the shorter leg. What is the measure of the angle between the hypotenuse and the longer leg?
If we know the answer to the above question is 60 degrees, what is the value of unknown variable X?
# Solution
|
stop
| -27.664347
|
# Question
If the average of two numbers is 6, and the average of the numbers and 3 is 10, what is the value of the smaller of the two numbers?
# Solution
|
stop
| -22.330131
|
# Question
Solve the following equation: $12x - 3 = 5x + 15$.
# Solution
|
stop
| -19.311441
|
# Question
The sum of 4 consecutive even numbers is 20. What is the smallest of these numbers?
# Solution
|
stop
| -20.403131
|
# Question
The first three digits of the three-digit number are equal to the last three digits of the three-digit number. If the sum of the digits of the three-digit number is 12, what is the three-digit number?
# Solution
|
stop
| -23.862254
|
# Question
What is the value of $x$ in the equation $3x + 2 = 12$?
# Solution
|
stop
| -9.800494
|
# Question
Evaluate $\displaystyle \int \frac{dx}{\sqrt{x^2+1}}$.
# Solution
|
stop
| -17.040549
|
# Question
In the grocery store, the price of a loaf of bread is 4 dollars. You get 3 loaves of bread for 11 dollars. How much does each loaf of bread cost?
# Solution
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stop
| -37.775508
|
# Question
If $a^2 + b^2 + c^2 = 1$, then what is the maximum value of the expression $a + b + c$?
# Solution
|
stop
| -17.800655
|
# Question
Sam has a 250-page book with 400 lines per page and 350 words per line. How many words are there in the book?
# Solution
|
stop
| -36.020971
|
# Question
Let \[f(x) =
\begin{cases}
x^2-1 &\text{if }x<-1, \\
2x+1&\text{if }x\ge -1.
\end{cases}
\]Find $f(-2)$.
# Solution
|
stop
| -11.405398
|
# Question
Find the following limit: $\lim_{x \to 1} \frac{x^3 - 1}{x^2 + 4x - 5}$.
# Solution
|
stop
| -19.319769
|
# Question
A bank is selling $10000 loans at 4.5% annual interest, compounded monthly. What is the monthly payment on this loan?
# Solution
|
stop
| -35.421169
|
# Question
What is the sum of the digits of the number $123456789$?
# Solution
|
stop
| -10.41803
|
# Question
A pizza restaurant offers 3 different toppings for their pizzas. Each pizza has 4 slices. If you can order any number of slices with any number of toppings, what is the maximum number of possible pizzas?
# Solution
|
stop
| -40.063156
|
# Question
If the height of a triangle is 25 inches and the base is 24 inches, what is the area of the triangle?
# Solution
|
stop
| -19.24887
|
# Question
What is the remainder of $463^{143}$ when divided by 10?
# Solution
|
stop
| -21.921854
|
# Question
If $a$ and $b$ are real numbers satisfying $a + b = 5$ and $a^3 + b^3 = 102$, what is the value of $ab$?
# Solution
|
stop
| -26.126678
|
# Question
The value of x is equal to the value of x + 10. What is the value of x?
# Solution
|
stop
| -19.678008
|
# Question
If x is a positive integer, what is the value of x?
# Solution
|
stop
| -7.916372
|
# Question
A student is taking a multiple-choice exam in which each question has five choices. He has no idea of the correct answer to any of the questions and decides to choose an answer for each question at random. Find the probability that he will score at least 20% on the exam.
# Solution
|
stop
| -18.255229
|
# Question
What is the maximum possible value of $x$ if $x^2+12x+11$ is a perfect square?
# Solution
|
stop
| -22.376969
|
# Question
How many different ways are there to seat 5 people around a circular table if 2 people insist on sitting next to each other?
# Solution
|
stop
| -19.616723
|
# Question
If a company makes $15,000 profit in a year and the profit decreases by $5000 every year, what is the profit the company will make in the 10th year?
# Solution
|
stop
| -38.345123
|
# Question
What is the value of the following expression?
# Solution
|
stop
| -8.439143
|
# Question
If the area of a rectangle is 50 square meters, and the length of the rectangle is 4 meters, what is the width of the rectangle?
# Solution
|
stop
| -16.362586
|
# Question
The cost of a shirt is $10.00 more than the cost of a pair of jeans. If the cost of both items is a total of $140.00, what is the cost of the shirt?
# Solution
|
stop
| -29.385511
|
# Question
What is the cross product of the vectors $\begin{pmatrix} 3 \\ -2 \\ 1 \end{pmatrix}$ and $\begin{pmatrix} 2 \\ 1 \\ 3 \end{pmatrix}$?
# Solution
|
stop
| -12.485355
|
# Question
On a 300-yard course, Dan's best time is 10 seconds longer than Kelly's. If Dan's best time is 5 seconds less than twice Kelly's best time, what is Dan's best time?
# Solution
|
stop
| -43.92514
|
# Question
In the first 300 positive integers, the sum of all odd integers is 15,000. What is the sum of the even integers?
# Solution
|
stop
| -26.202182
|
# Question
A college professor's monthly salary was $6,000 less in August than in July. If her August salary was 12% higher than her July salary, what was her July salary?
# Solution
|
stop
| -32.245297
|
# Question
If there are 200 students in a class and 100 of them are taking French and 150 of them are taking math, and 100 of them are taking neither, how many students are taking French but not math?
# Solution
|
stop
| -35.302311
|
# Question
The number of seeds in a batch of peanuts is given by the formula N = 2(2x + 1), where x is the number of pounds of peanuts. If the number of seeds in a batch of peanuts is 42, what is the number of pounds of peanuts in the batch?
# Solution
|
stop
| -43.131168
|
# Question
A number has 3 factors, a, b and c. If a+b+c=18, what is the value of a*b*c?
# Solution
|
stop
| -26.062348
|
# Question
If 42 people are in the room, and 17 people are men, how many people are women?
# Solution
|
stop
| -24.866318
|
# Question
The sum of two numbers is 28 and their product is 192. Find the two numbers.
# Solution
|
stop
| -15.965193
|
# Question
If a man can drive 500 miles on 7 gallons of gasoline, how many gallons of gasoline will he need to drive 1000 miles?
# Solution
|
stop
| -19.437133
|
# Question
Darnell is packing boxes to be shipped. Each box will hold 27 books. If Darnell has 3,781 books to pack, how many boxes can he fill?
# Solution
|
stop
| -42.100872
|
# Question
A population of 1000 bacteria is growing at a rate of 100% every hour. How many hours does it take for the population to double?
# Solution
|
stop
| -21.741488
|
# Question
The sum of two numbers is 75. One number is 3 times the other number. What is the value of the smaller number?
# Solution
|
stop
| -15.971729
|
# Question
The product of two numbers is 200. The sum of the two numbers is 52. What is the larger of the two numbers?
# Solution
|
stop
| -24.895539
|
# Question
Find the value of the expression $\frac{3}{x - 1} + \frac{2}{x + 1}$ if $x = 2.$
# Solution
|
stop
| -20.59631
|
# Question
What is the smallest positive integer N that satisfies the following conditions?
N is divisible by 2 and 3.
N is greater than 50 but less than 51.
N is divisible by 7 and 11.
# Solution
|
stop
| -35.912271
|
# Question
What is the difference between 0.232 and 0.12?
# Solution
|
stop
| -17.656938
|
# Question
Determine the area of the triangle with the vertices at $(-1,1),(2,3),(-2,4).$
# Solution
|
stop
| -24.320834
|
# Question
A new car is purchased for $35,000. The car depreciates by 20% of its value each year. What is the value of the car after 2 years?
# Solution
|
stop
| -24.768755
|
# Question
Find the sum: $1+2+3+4+\dots +122+123$
# Solution
|
stop
| -9.190367
|
# Question
If the average of four numbers is 47.5, and three of the numbers are 28, 26, and 34, what is the fourth number?
# Solution
|
stop
| -27.339247
|
# Question
If you have 15 quarters and you give 5 of them to your brother, how many quarters do you have left?
# Solution
|
stop
| -26.20964
|
# Question
There are 25 students in the class. What is the probability that the first student to enter the classroom is a boy?
# Solution
|
stop
| -21.854333
|
# Question
What is the value of $x$ that satisfies the equation $x^2 + 8x - 10 = 0$?
# Solution
|
stop
| -11.137986
|
# Question
A triangular pyramid has a base with an area of 5 square units and a height of 3 units. What is the volume of the pyramid?
# Solution
|
stop
| -21.599482
|
# Question
If the average of 2 numbers is 12 and one number is 15, what is the other number?
# Solution
|
stop
| -16.415847
|
# Question
Suppose you are given a square of side length $10$. What is the area of the largest circle that can be inscribed in this square? Express your answer in terms of $\pi$.
# Solution
|
stop
| -23.530546
|
# Question
If $n$ is a positive integer, what is the remainder when $n^{2} + 6n + 1$ is divided by 9?
# Solution
|
stop
| -18.129253
|
# Question
A train travels from Boston to New York. The journey takes 2 hours, 45 minutes. If the train travels at an average speed of 80 mph, what is the distance between Boston and New York?
# Solution
|
stop
| -29.412896
|
# Question
Jim is 3 years older than Jane. Jim is 5 years older than Mary. Mary is 2 years younger than Jane. How old is Jim?
# Solution
|
stop
| -17.596566
|
# Question
In a class of 120 students, 20 students are left-handed, 2/3 of the remaining students are right-handed, and the rest are ambidextrous. How many students are ambidextrous?
# Solution
|
stop
| -19.870695
|
# Question
If the average speed of a train is 120 miles per hour, what is the distance it travels in 45 minutes?
# Solution
|
stop
| -23.053289
|
# Question
The length of the side of a square is 3 inches. What is the area of the square, in square inches?
# Solution
|
stop
| -15.41716
|
# Question
What is the remainder when $123456789$ is divided by $9$?
# Solution
|
stop
| -11.046804
|
# Question
A club has 20 members. The club is split into 2 committees. 3 people are on the first committee and 17 people are on the second committee. How many different ways can the committees be formed?
# Solution
|
stop
| -34.856621
|
# Question
If the height of a triangle is 24 and the length of the base is 20, what is the area?
# Solution
|
stop
| -20.717961
|
# Question
A triangular pyramid has a volume of 54 cubic units and a height of 6 units. What is the area of the base of the pyramid?
# Solution
|
stop
| -17.051854
|
# Question
The equation $y = 10x + 2$ is a linear function. If $x = 1$ and $y = 12$, what is the value of $x$ when $y = 100$?
# Solution
|
stop
| -33.031353
|
# Question
How many 2-digit numbers are there whose sum of the digits is 8?
# Solution
|
stop
| -13.773251
|
# Question
A water tank has the shape of a cone. The tank is 2 feet tall and has a radius of 1 foot. What is the volume of water in the tank if it is filled to a height of 1 foot?
# Solution
|
stop
| -25.288425
|
# Question
What is the average of the three numbers 100, 500 and x?
# Solution
|
stop
| -22.060413
|
# Question
If 55% of the 250 people surveyed say they would vote for a certain candidate, how many people out of 1000 would be expected to vote for the same candidate?
# Solution
|
stop
| -37.656515
|
# Question
The total value of a used car is $4,000. If the car is worth 60% of what it was a year ago, what was the car worth a year ago?
# Solution
|
stop
| -29.556479
|
# Question
A man walks 10 miles at 5 miles per hour. How many minutes will it take him to walk 100 miles?
If we know the answer to the above question is 120, what is the value of unknown variable X?
# Solution
|
stop
| -22.105719
|
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