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Find the sum of the smallest and largest even numbers between 1 and 30.
OpenMathInstruct-2
32
[]
2
2
[ 58, 99 ]
How many ounces are in 4 pounds?
OpenMathInstruct-2
64
[]
3
3
[ 58, 223, 302 ]
Lucas is five years older than Ava. When Ava is eighteen years old, how old will Lucas be in years?
OpenMathInstruct-2
23
[]
2
2
[ 294, 41 ]
Simplify: $|{4^2-9}|$
OpenMathInstruct-2
7
[]
2
2
[ 475, 256 ]
What is the smallest positive multiple of 27?
OpenMathInstruct-2
27
[]
3
3
[ 58, 329, 302 ]
Round $\sqrt{1.95}$ to the nearest integer.
OpenMathInstruct-2
1
[]
2
2
[ 475, 99 ]
Compute $\arccos(-1)$. Express your answer in degrees.
OpenMathInstruct-2
180
[]
2
2
[ 475, 99 ]
An equilateral triangle has a height of 15 cm. What is the length of its altitude, expressed in centimeters?
OpenMathInstruct-2
15
[]
2
2
[ 316, 256 ]
A bakery case holds 3 dozen cupcakes. If customers purchased 12 cupcakes, how many cupcakes are left?
OpenMathInstruct-2
24
[]
2
2
[ 51, 184 ]
Emily pays her gym membership monthly at $45. How much does she pay in a year for her gym membership?
OpenMathInstruct-2
540
[]
2
2
[ 53, 441 ]
What is seven less than a third of 90?
OpenMathInstruct-2
23
[]
2
2
[ 58, 41 ]
Daniel bought thirty more pencils than Ryan. If Ryan bought 22 pencils, how many pencils did they buy altogether?
OpenMathInstruct-2
74
[]
2
2
[ 294, 41 ]
What is the value of $\sqrt{3! \cdot 3!}$ expressed as a positive integer?
OpenMathInstruct-2
6
[]
2
2
[ 86, 324 ]
Find the value of $[3.7]$.
OpenMathInstruct-2
3
[]
2
2
[ 273, 99 ]
Determine the number of prime factors of the number $2147483647$.
OpenMathInstruct-2
1
[]
2
2
[ 118, 99 ]
A right-angled triangle with sides of length 5, 12 and 13 is inscribed in a circle. Determine the diameter of this circle.
OpenMathInstruct-2
13
[]
2
2
[ 219, 324 ]
Ethan has 24 pencils. His sister has 8 fewer pencils than he has. How many pencils do they have together?
OpenMathInstruct-2
40
[]
2
2
[ 261, 184 ]
Alex plans to make 8 turkey wraps for a picnic. If each wrap requires 2 large tortillas, how many tortillas will Alex need to make 8 wraps?
OpenMathInstruct-2
16
[]
2
2
[ 261, 184 ]
An aquarium has 18 sharks and three times as many stingrays. How many total animals do they have?
OpenMathInstruct-2
72
[]
2
2
[ 261, 184 ]
Evaluate: $(3^3)^2$
OpenMathInstruct-2
729
[]
2
2
[ 475, 41 ]
A chess club is hosting a single-elimination tournament for 24 players. Each game eliminates the losing player from the competition. How many games must be played in total to determine the tournament winner?
OpenMathInstruct-2
23
[]
2
2
[ 286, 256 ]
What is the sum of the positive integers less than or equal to 20 that have an odd number of divisors?
OpenMathInstruct-2
30
[]
2
2
[ 118, 256 ]
What is the sum of the digits of the product of the first four positive prime numbers?
OpenMathInstruct-2
3
[]
2
2
[ 118, 108 ]
Find the vertical shift of the graph of $y = 2\cos \left( x + \frac{\pi}{3} \right) + 1$.
OpenMathInstruct-2
1
[]
2
2
[ 113, 256 ]
What is the total volume in cubic feet of five boxes if each box is a cube with edge length 2 feet?
OpenMathInstruct-2
40
[]
2
2
[ 58, 99 ]
What is the largest possible number of digits in the product of a 5-digit whole number and a 2-digit whole number?
OpenMathInstruct-2
7
[]
2
2
[ 300, 324 ]
Express $\frac{7}{11}$ as a repeating decimal and determine the sum of the digits in one repeating cycle.
OpenMathInstruct-2
9
[]
2
2
[ 273, 324 ]
Find the value of $d$ if the lines with equations $y = 3x - 1$ and $y = (3d)x + 5$ are parallel.
OpenMathInstruct-2
1
[]
2
2
[ 35, 324 ]
What is the product of the prime numbers between 10 and 20 that have a units digit of 3?
OpenMathInstruct-2
13
[]
2
2
[ 58, 108 ]
In a 5-pointed star, what is the sum of the interior angles of the three triangles formed by the star's vertices and center?
OpenMathInstruct-2
540
[]
3
3
[ 219, 287, 202 ]
Find the degree measure of the supplement of the complement of a 72-degree angle.
OpenMathInstruct-2
162
[]
2
2
[ 316, 99 ]
Ethan's age is three times that of his younger brother Lucas. If Lucas celebrated his 4th birthday last month, how old is Ethan now?
OpenMathInstruct-2
12
[]
2
2
[ 197, 41 ]
Brianna planted 12 sunflower seeds in her garden. That's 4 more than Ethan planted in his garden. How many sunflower seeds did they plant in their gardens collectively?
OpenMathInstruct-2
20
[]
2
2
[ 181, 441 ]
What is the largest three-digit palindrome that is divisible by 3? (A palindrome is a number that reads the same forwards and backwards, like 121.)
OpenMathInstruct-2
999
[]
2
2
[ 118, 324 ]
What is the remainder when 25 is divided by 2007?
OpenMathInstruct-2
25
[]
2
2
[ 118, 99 ]
If $a*b=a^2+ab-b^2$, find $3*2$.
OpenMathInstruct-2
11
[]
2
2
[ 35, 324 ]
How many ways are there to arrange 5 identical books on a shelf such that no two adjacent books are the same size, if there are two sizes of books available?
OpenMathInstruct-2
2
[]
2
2
[ 37, 256 ]
Maria walked 3 miles in the morning, and then 4 times that distance in the afternoon. How many miles did Maria walk in total?
OpenMathInstruct-2
15
[]
2
2
[ 261, 441 ]
Maria has 3 rabbits, and they gave birth to 5 little rabbits. How many rabbits does Maria have in total?
OpenMathInstruct-2
8
[]
3
3
[ 261, 350, 14 ]
What is the smallest value of $k$ for which the equation $|z-2i|=k$ has exactly one solution in the complex plane?
OpenMathInstruct-2
0
[]
2
2
[ 248, 60 ]
What is the perimeter of a triangle with sides of length 5 cm, 12 cm, and 10 cm?
OpenMathInstruct-2
27
[]
2
2
[ 58, 99 ]
Emily is 5 years older than Olivia. If Olivia is 17 years old now, how old will Emily be in two years?
OpenMathInstruct-2
24
[]
2
2
[ 294, 441 ]
Maya has five times as many books as Alex has. Ben has nine times as many books as Alex. If Maya has 20 books, how many does Ben have?
OpenMathInstruct-2
36
[]
2
2
[ 294, 41 ]
If $\|\mathbf{u}\| = 6,$ then find $\mathbf{u} \cdot \mathbf{u}.$
OpenMathInstruct-2
36
[]
2
2
[ 113, 108 ]
What is the geometric mean of 2, 8, and 32?
OpenMathInstruct-2
8
[]
2
2
[ 58, 99 ]
Pizza costs $12.00 and extra ingredients cost $1.25 per ingredient. How much does a pizza with 8 extra ingredients cost?
OpenMathInstruct-2
22
[]
2
2
[ 51, 184 ]
The average of 8 numbers is 4. What is the sum of the numbers if each of the numbers is divided by 2?
OpenMathInstruct-2
16
[]
2
2
[ 316, 99 ]
David is 9 years older than Emily, who is 18. How old will David be in 8 years?
OpenMathInstruct-2
35
[]
2
2
[ 294, 184 ]
Emily prepares five batches with 18 cupcakes in each batch and two batches with 30 cupcakes in each batch. How many cupcakes does Emily prepare?
OpenMathInstruct-2
150
[]
2
2
[ 53, 2 ]
What is the remainder when the sum of the first 500 odd numbers is divided by 10,000?
OpenMathInstruct-2
0
[]
2
2
[ 214, 60 ]
Ava buys a 12-piece cake. Her sister eats 3 slices, and Ava eats one-third of what remains. How many slices of cake does Ava eat?
OpenMathInstruct-2
3
[]
2
2
[ 261, 184 ]
Alex has 75 marbles and his sister has one-third as many marbles as he does. How many marbles do they have together?
OpenMathInstruct-2
100
[]
2
2
[ 294, 184 ]
Bob orders a pizza with 8 slices. He eats half of it and each slice was 300 calories. How many calories did he eat?
OpenMathInstruct-2
1,200
[]
2
2
[ 261, 184 ]
Consider an equilateral triangle with a side length of 10 m. What is the perimeter of this triangle?
OpenMathInstruct-2
30
[]
3
3
[ 58, 329, 302 ]
Emily purchases 8 journals that have 32 pages each. She uses 2 pages per day for writing and drawing. How many days will the journals last?
OpenMathInstruct-2
128
[]
2
2
[ 53, 184 ]
Alex purchased 6 sets of golf balls for $48 in total. Each set contains 4 balls per set. How much did it cost Alex for each golf ball?
OpenMathInstruct-2
2
[]
2
2
[ 51, 184 ]
The area of the mirror is 60 cm x 40 cm = 2400 square cm.
OpenMathInstruct-2
2,400
[]
2
2
[ 332, 99 ]
It is known that 12% of the population have blood group B. In a group of 300 randomly selected individuals, how many can be expected to have blood group B?
OpenMathInstruct-2
36
[]
2
2
[ 98, 99 ]
What is the smallest prime factor of $3^{19} + 11^{13}$?
OpenMathInstruct-2
2
[]
2
2
[ 6, 60 ]
In a restaurant, a burger costs $9, and a pizza twice as much. How much would cost one pizza and three burgers?
OpenMathInstruct-2
45
[]
2
2
[ 51, 184 ]
A bookstore has enough shelves to store 432 books. If the books are to be stacked in piles of 6, how many piles can be formed?
OpenMathInstruct-2
72
[]
2
2
[ 98, 99 ]
Find the number of positive integers less than 80 that have an odd number of positive divisors.
OpenMathInstruct-2
8
[]
3
3
[ 88, 241, 302 ]
A mother and son visit a museum. Museum tickets are $12 per person. If they brought $40 with them, how much change will they receive after buying the tickets?
OpenMathInstruct-2
16
[]
2
2
[ 181, 184 ]
Emily has 5 new books. Sarah has 2 more new books than Emily. If Michael has five more new books than Sarah, how many new books does Michael have?
OpenMathInstruct-2
12
[]
2
2
[ 294, 184 ]
Emily creates a playlist for her workout. The first part has 8 tracks, and the second part has 5 tracks. Each track is 3 minutes long. What is the total duration of the playlist?
OpenMathInstruct-2
39
[]
2
2
[ 53, 441 ]
A bookstore owner received 18 boxes of books this week. Last week, she received 5 fewer boxes than this week. How many boxes of books did the bookstore owner receive in total?
OpenMathInstruct-2
31
[]
2
2
[ 384, 41 ]
Alex is 3 years older than Maya. Maya is three times as old as Ava. If Ava is 12, how old is Alex?
OpenMathInstruct-2
39
[]
2
2
[ 294, 41 ]
Compute the number of ways to arrange 16 books on a shelf, where 15 of the books are identical.
OpenMathInstruct-2
16
[]
3
3
[ 37, 56, 302 ]
What is the value of $4 \times (9 - 3) + 2$?
OpenMathInstruct-2
26
[]
3
3
[ 475, 262, 145 ]
Find the smallest integer greater than 100 that has exactly three positive divisors, one of which is a perfect square.
OpenMathInstruct-2
121
[]
3
3
[ 300, 500, 221 ]
Ava is four years younger than Ethan. In three years, Ethan will be 25 years old. How old is Ava now?
OpenMathInstruct-2
18
[]
2
2
[ 197, 441 ]
If $8^5=2^m$, what is $m$?
OpenMathInstruct-2
15
[]
3
3
[ 86, 341, 277 ]
Compute the value of $\cos \left(\frac{\pi}{2}\right)$.
OpenMathInstruct-2
0
[]
3
3
[ 475, 73, 14 ]
Find the number of positive divisors of 24 that are also multiples of 3.
OpenMathInstruct-2
4
[]
2
2
[ 118, 99 ]
A marine life park has 18 dolphins and three times as many seals. How many total animals do they have?
OpenMathInstruct-2
72
[]
2
2
[ 261, 184 ]
A box of chocolate bars was shared equally between Mike, Rita and Anita. If the box contains 12 bars, how many bars did Mike and Rita get (combined)?
OpenMathInstruct-2
8
[]
2
2
[ 261, 256 ]
The notation $[x]$ stands for the greatest integer that is less than or equal to $x$. Calculate $[2.7]$.
OpenMathInstruct-2
2
[]
3
3
[ 475, 73, 14 ]
How many distinct arrangements are possible using the letters in the word LIST?
OpenMathInstruct-2
24
[]
3
3
[ 286, 56, 14 ]
A positive integer $n$ has exactly three positive integer divisors. One of its divisors is 5. Find $n$.
OpenMathInstruct-2
25
[]
2
2
[ 35, 324 ]
Find one-third of 8 times 12.
OpenMathInstruct-2
32
[]
2
2
[ 58, 99 ]
Emily enrolls in 15 credits per quarter at university. If each credit costs $75, how much does she pay for 3 quarters?
OpenMathInstruct-2
3,375
[]
2
2
[ 53, 184 ]
Emily goes to the cafeteria to buy sandwiches and gives them $30. Sandwiches cost $3 each and she got $6 in change. How many sandwiches did she buy?
OpenMathInstruct-2
8
[]
2
2
[ 261, 441 ]
Mia purchased 5 boxes of cookies. She gave 3 boxes to her friends as gifts, then bought another 2 boxes. How many boxes of cookies does Mia have now?
OpenMathInstruct-2
4
[]
2
2
[ 261, 441 ]
Emily purchased 3 sandwiches for $5 each and 4 cookies. She spent a total of 27 dollars. How much did each cookie cost?
OpenMathInstruct-2
3
[]
2
2
[ 53, 184 ]
What is the product of the positive integer divisors of a number that is equal to the sum of its own digits?
OpenMathInstruct-2
27
[]
3
3
[ 212, 101, 277 ]
A bookshelf has 5 shelves, and each shelf can hold a maximum of 6 books. If the bookshelf is currently empty, how many books can be placed on it in total?
OpenMathInstruct-2
30
[]
2
2
[ 98, 99 ]
Aiden, Lucas, and Ethan together have 95 stickers. If Aiden has 23 and Lucas has 20, how many stickers does Ethan have?
OpenMathInstruct-2
52
[]
2
2
[ 261, 184 ]
Which integer is closest to the square root of 200?
OpenMathInstruct-2
14
[]
3
3
[ 58, 341, 221 ]
Find the minimum number of integers Alice needs to choose so that their product is guaranteed to be even, regardless of the specific integers chosen.
OpenMathInstruct-2
2
[]
4
4
[ 286, 500, 245, 155 ]
If \(\log_{2}(5+n)=3\), then what is the value of \(n\)?
OpenMathInstruct-2
3
[]
2
2
[ 86, 324 ]
Find the largest positive multiple of 4 that is less than 200 and whose square root is greater than 10.
OpenMathInstruct-2
196
[]
3
3
[ 118, 73, 14 ]
Lucia wants to buy three and three-quarters dozens of pencils. How many pencils will she have?
OpenMathInstruct-2
45
[]
2
2
[ 384, 184 ]
Alexis prepared 18 cupcakes for her friend's graduation party. Her brother also made 6 cupcakes, but accidentally dropped 2 on the floor while transporting them. How many cupcakes are left?
OpenMathInstruct-2
22
[]
2
2
[ 181, 441 ]
Lily's aloe vera plant produces 3 offsets 3 times a year. After 5 years, how many offsets will the mother plant have produced?
OpenMathInstruct-2
45
[]
2
2
[ 98, 184 ]
Find the smallest integer $n$ such that the product of all positive integers less than or equal to $n$ is divisible by $2323$.
OpenMathInstruct-2
101
[]
2
2
[ 6, 60 ]
Emily is 60 inches tall. Her younger cousin Alex is one-third her height, and her younger brother Jack is 4 inches taller than Alex. How tall is Jack?
OpenMathInstruct-2
24
[]
2
2
[ 294, 41 ]
During a spectacular fireworks show, a new firework explodes every 5 minutes. If the show lasts for 90 minutes, how many fireworks exploded during the show?
OpenMathInstruct-2
18
[]
2
2
[ 98, 184 ]
If $y = 5$, what is the value of $4y - 2$?
OpenMathInstruct-2
18
[]
2
2
[ 58, 108 ]
Alex wants to give his friends customized keychains with their initials. He has friends named Madison, Chloe, Emma, and Isabella. If each customized keychain costs $5, what is the total amount Alex will spend in dollars?
OpenMathInstruct-2
20
[]
2
2
[ 51, 184 ]
It takes 25 minutes to bake a tray of cookies and 2 minutes per cookie to package them once they're baked. How long does it take to package 8 cookies?
OpenMathInstruct-2
16
[]
3
3
[ 444, 350, 14 ]