You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If a right-angled triangle board is arranged as shown in the figure, where ∠C=90°, ∠F=90°, ∠D=30°, ∠A=45°, then the sum of ∠1 and ∠2 is equal to which of the following?
(A) 270°
(B) 210°
(C) 180°
(D) 150°

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is Seafoam the smoothest?
Choices:
(A) no
(B) yes

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many people are waiting at the bus stop?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Complete the statement.
Palladium is ().
Choices:
(A) a compound
(B) an elementary substance

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average number of units sold for the item aid across all categories?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图，点A，B，C为⊙O上三点，∠OAB＝40°，则∠ACB的度数等于（）
Choices:
(A) 100°
(B) 80°
(C) 50°
(D) 40°

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the accuracy of the algorithm 'wave'?

Answer: $\boxed{5.0}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many methods in the chart are used by at least 15 percent of users?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

A farmer examined each building on his farm to determine how many lights needed repair. How many more broken lights than working lights are there in the barn?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many flags are visible in the image?

Answer: $\boxed{7}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which diagnostic technique is utilized to display aortic regurgitation and aorta dilation among the following options: X-ray, Magnetic Resonance Imaging, Transesophageal echocardiography, or Computed tomography?
Choices:
(A) X-ray
(B) Magnetic Resonance Imaging
(C) Transesophageal echocardiography
(D) Computed tomography

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Where does the bus go to in London?
Choices:
(A) south
(B) west
(C) central
(D) north

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the value of the bar labeled "Tomato"?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Where is this ramp located?
Choices:
(A) skate park
(B) boardwalk
(C) grocery parking
(D) parking lot

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many large red objects are there?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Can you provide the page number?

Answer: $\boxed{42}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If the line is extended by 3 centimeters, what will be the new total length of the line in centimeters?

Answer: $\boxed{8}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many people are visible in the image?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

The first picture is a dog. Which picture is fourth?
Choices:
(A) house
(B) dog
(C) paw

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图,已知在⊙A中,B、C、D三个点在圆上,且满足∠CBD=2∠BDC．若∠BAC=44°,则∠CAD的度数为()
Choices:
(A) 68°
(B) 88°
(C) 90°
(D) 112°

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average value of y for the given x values?

Answer: $\boxed{15}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many loaves of bread are hanging in plastic bags?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In the diagram, AB is the diameter of circle O, and CD is a chord of circle O. If ∠BAD = 21°, what is the measure of ∠ACD?
Choices:
(A) 21°
(B) 59°
(C) 69°
(D) 79°

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the anticipated ratio of offspring with Thomsen disease to those without Thomsen disease? Select the most probable ratio from the following choices.
(A) 2:2
(B) 1:3
(C) 3:1
(D) 4:0
(E) 0:4

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which creature's skin is more suited to injure an attacking predator?
Choices:
(A) thorny devil
(B) European robin

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If m \angle 1 = 131, find the measure of \angle 4

Answer: $\boxed{131}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the area of triangle ABC?

Answer: $\boxed{6}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What are the cables for?
Choices:
(A) rescuing him
(B) lifting him
(C) climbing
(D) holding him

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of units sold for both items combined?

Answer: $\boxed{14}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What can they trade to each get what they want?
Choices:
(A) One can trade their tomatoes for the other's carrots.
(B) One can trade their almonds for the other's tomatoes.
(C) One can trade their broccoli for the other's oranges.
(D) One can trade their tomatoes for the other's broccoli.

Answer: $\boxed{D}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total amount of money that Mason needs to purchase a can of cranberry sauce, a jar of applesauce, and a jar of pickles?

Answer: $\boxed{7.12}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the pooled variance of the two groups?

Answer: $\boxed{31.15}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which trade option would allow Pablo and Judith to exchange items to get what they want?
Choices:
(A) Pablo exchanging his tomatoes for Judith's broccoli.
(B) Pablo exchanging his tomatoes for Judith's carrots.
(C) Judith exchanging her almonds for Pablo's tomatoes.
(D) Judith exchanging her broccoli for Pablo's oranges.

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the difference in value between Teal and Dark Gray?

Answer: $\boxed{10}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the capital of this state?
Choices:
(A) Louisville
(B) Columbia
(C) Frankfort
(D) Richmond

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the perspective of the slice in the image?
Choices:
(A)  Posterior to anterior view
(B)  Inferior to superior view
(C)  Anterior to posterior view
(D)  Superior to inferior view

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total amount on the check?

Answer: $\boxed{200.00}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is Tomato the high median?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of copies sold on Tuesday and Friday over the past 4 days, as examined by the newspaper staff?

Answer: $\boxed{803}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is Web Green the option with the lowest value?
Choices:
(A) no
(B) yes

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the term used to describe the border of the lesion?
Choices:
(A)  stratum
(B)  meandering
(C)  spherical
(D)  dispersed

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What has been done to this letter?
Choices:
(A) turn
(B) slide
(C) flip

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Of what materials are the decorations composed?
Choices:
(A) candy canes
(B) plants
(C) gnomes
(D) paper airplanes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the maximum value reached by Aqua on the graph?

Answer: $\boxed{33}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of sides for all the shapes combined?

Answer: $\boxed{30}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图,将含有30°角的直角三角板另一个锐角顶点放在圆心O上,斜边和一直角边分别与⊙O相交于A、B两点,P是优弧AB上任意一点(与A、B不重合),则∠APB=()
Choices:
(A) 15°
(B) 30°
(C) 60°
(D) 30°或150°

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图,点C是线段AB上的点,点D是线段BC的中点,AB=10,AC=6,若点E是线段AD的中点,则线段AE的长是多少?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the percentage of solid fuel emission in Albania ?

Answer: $\boxed{27.4541101356744}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the median number of cups sold?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is Dark Salmon the color with the highest median value?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

how many milliliters is this bottle?

Answer: $\boxed{330}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Given the circle at the right with the indicated center.  Find the measure of the angle designated by x.
Choices:
(A) 35
(B) 55
(C) 70
(D) 72.5

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the intensity value for the pixel at the center of the left STN?

Answer: $\boxed{313.00}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which property do these three objects have in common?
Choices:
(A) transparent
(B) bumpy
(C) smooth

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average number of pets per student in Mrs. Garrett's class?

Answer: $\boxed{1.16}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many micrometers does the scale bar represent in the image?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is this less than Seafoam?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What sort of dining do those in front of the restaurant enjoy?
Choices:
(A) none
(B) diet
(C) fine
(D) al fresco

Answer: $\boxed{D}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many unidentified types of prostheses had a functional life of 6-24 months?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many types of aquifers are depicted in the image?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average number of grocery stores per town?

Answer: $\boxed{5.1667}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many arms does the object have?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图,PB为圆O的切线,B为切点,连接PO交圆O于点A,PA=2,PO=5,则PB的长为()
Choices:
(A) 4
(B) √{10}
(C) 2√{6}
(D) 4√{3}

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

A hardware store monitored how many hammers it sold in the past 6 days. What is the range of the numbers?

Answer: $\boxed{6}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of legs visible on the ducks?

Answer: $\boxed{12}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many boats can be seen in the image?

Answer: $\boxed{15}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the difference between Jamaica's Balance of Payments in 2011 and Greece's Balance of Payments in 2010?

Answer: $\boxed{0}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is this the smoothest?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of people who preferred the object moment in both categories?

Answer: $\boxed{6}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Find F E if A B = 6, A F = 8, B C = x, C D = y, D E = 2 y - 3, and F E = x + \frac { 10 } { 3 }.
Choices:
(A) 9
(B) 10
(C) \frac { 40 } { 3 }
(D) 15

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Add 3 large red objects. How many large red objects are left?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many shapes are there in total?

Answer: $\boxed{10}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which of the following activities is happening in addition to surfing: fishing, paddling, swimming, or canoeing?
Choices:
(A) fishing
(B) paddling
(C) swimming
(D) canoeing

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many large circular objects can be seen in the image?

Answer: $\boxed{1}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which brain region is impacted by the ischemic infarction in Case 2?
Choices:
(A) Cerebral Cortex
(B) Medulla Oblongata
(C) Cerebellum
(D) Thalamus

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图,PA、PB分别与⊙O相切于点A、B,若∠P=50°,则∠C的值是()
Choices:
(A) 50°
(B) 55°
(C) 60°
(D) 65°

Answer: $\boxed{D}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Look at the following schedule. When does the bus depart from the hotel?
Choices:
(A) 11:10 A.M.
(B) 10:10 A.M.
(C) 11:20 A.M.
(D) 10:45 A.M.

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the Book Value Per Share (Rs) in the year 2004-05?

Answer: $\boxed{31.20}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the scientific name of the trapdoor spider shown?
Choices:
(A) Aptostichus cabrillo
(B) Aptostichus stephencolberti

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If the length of AD is 10 units, what is the length of PF?

Answer: $\boxed{10}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

It is the tough band of fibrous connective tissue and functions to connect muscle to bone. It is capable of withstanding tension
Choices:
(A) Tendon
(B) Perimysium
(C) Epimysium
(D) Muscle Fiber

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Find the value of \( y \) in the figure

Answer: $\boxed{7.13}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the imaging modality used to generate the MIP images?
Choices:
(A)  CT scan
(B)  X-ray
(C)  PET scan
(D)  MRI scan

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If Elise saw 2 more 2 feet long, bright orange snakes, how many bright orange snakes would there be in total?

Answer: $\boxed{11}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average annual rate of change in the number of straight-A students from 2015 to 2019?

Answer: $\boxed{0.25}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In the figure, Xiao Ming used a homemade right-angled triangle cardboard DEF to measure the height of tree AB. During the measurement, he kept the right-angled side DF horizontal, with its extension intersecting AB at point G; and the line passing through point A was aligned with the slant side DE. The height of side DF from the ground was measured to be 1m, and the distance from point D to AB was 7.5m. Given that DF=1.5m, EF=0.6m, what is the height of tree AB?
Choices:
(A) 4m
(B) 4.5m
(C) 4.6m
(D) 4.8m

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is Medium Orchid the highest median color?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

在直径为650mm的圆柱形油罐内装入一些油后,截面如图所示,已知油面宽AB=600mm,则油的最大深度是()mm．
Choices:
(A) 400
(B) 300
(C) 200
(D) 100

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which location resembles this the most?
Choices:
(A) siberia
(B) egypt
(C) missouri
(D) venice

Answer: $\boxed{D}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In the given parallelogram ABCD, if BF bisects angle ABC and CE bisects angle BCD, and AB = 6, EF = 2, what is the length of line segment AE?

Answer: $\boxed{1}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Is the value of Hot Pink the lowest?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many organisms in the food web feed on Krill?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

A person kept track of how many laps were driven over the past 5 days. What is the median of these numbers?

Answer: $\boxed{10}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many working groups have been established for the Plan of Operation?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the most frequently occurring number of miles run by the track team members last week?

Answer: $\boxed{7}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total number of enrolments in secondary vocational schools in East Asia (all income levels) for the year 1988?

Answer: $\boxed{12000000}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many billing entries are there in total?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In the diagram, a student adjusts their position to keep the hypotenuse of the triangle board horizontal, with side DE and point B on the same line. Given that DE = 0.4m, EF = 0.2m, DF is measured to be 1.5m from the ground AC, and CD = 8m, what is the height of the tree in meters?
Choices:
(A) 6
(B) 4
(C) 5.5
(D) 5

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Does the dotted line serve as a line of symmetry?
Choices:
(A) no
(B) yes

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the context of the horse and rider here?
Choices:
(A) runaway horse
(B) parade
(C) rodeo roundup
(D) escape

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How much money is needed to buy a science book and a crossword puzzle book?

Answer: $\boxed{36.69}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the page number for the "Methods of Analysis - Regular Factory Control"?

Answer: $\boxed{316}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average ratio of viable intracellular bacteria for E. coli at 60 minutes across all assays?

Answer: $\boxed{3.67}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Radium-226 becomes radon-222 and what after alpha decay?
Choices:
(A) helium-4
(B) carbon-14
(C) hydrogen-2
(D) oxygen-12

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many vehicles in total are there in the image?

Answer: $\boxed{6}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the area of the letter Q before the transformation in square units?

Answer: $\boxed{14}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In which orientation are the MRI images shown?
Choices:
(A) Axial
(B) Coronal
(C) Sagittal
(D) Oblique

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Jacob, who works at a doctor's office, monitored the average waiting time each month. Based on the table, what was the rate of change between these two months?

Answer: $\boxed{-4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many edges does this shape have?

Answer: $\boxed{6}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which image shows the follow-up after the operation?
Choices:
(A)  First image
(B)  Second image
(C)  Third image
(D)  They both show the same thing.

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the significance of the dotted lines shown in the images?
Choices:
(A) Blood vessels.
(B) Outline of the lungs.
(C) Outline of the heart.
(D) Outline of the digestive system.

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the sum of the values of the bars in the fifth group from the left?

Answer: $\boxed{25}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

On which color is the spinner more likely to land?
Choices:
(A) pink
(B) white

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many states are labeled on this map?

Answer: $\boxed{4}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In this image, what is the position of the endoscope?
Choices:
(A) lower oesophagus, towards left lateral wall
(B) upper oesophagus, towards right lateral wall
(C) middle oesophagus, towards front wall
(D) upper oesophagus, towards left lateral wall

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What type of lesion is shown in the images?
Choices:
(A) small cortico-subcortical stroke lesion
(B) large cortico-subcortical stroke lesion
(C) chronic infarct lesion
(D) normal brain tissue

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图，∠AOC＝135°，则∠BOC的度数是多少？
Choices:
(A) 55°
(B) 45°
(C) 35°
(D) 25°

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

During the past 4 days, a pretzel stand owner recorded the number of pretzels sold. On which day did the stand sell the highest number of pretzels?
Choices:
(A) Sunday
(B) Monday
(C) Tuesday
(D) Wednesday

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which element is emphasized by the orange box in option (f)?
Choices:
(A) Welding region
(B) Ag2S region
(C) FFT pattern of Au
(D) Red squares

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the average number of hammers sold per day over the past 7 days?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the length of the longer side of the quadrilateral if x=4?

Answer: $\boxed{120}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which bird's beak is also adapted to tear through meat?
Choices:
(A) bateleur
(B) common shelduck

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many faces does this shape have?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the individual on the motorcycle wearing?
Choices:
(A) crown
(B) scarf
(C) boots
(D) tiara

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total value of all the stamps on the envelope?

Answer: $\boxed{80}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Chords J F and B C intersect at K. If B K = 8, K C = 12, and K F = 16, find J K.
Choices:
(A) 6
(B) 12
(C) 15
(D) 18

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

将一把直尺和一块三角板如图放置，已知∠1=45°，那么∠2的度数是？
选项：
(A) 150°
(B) 135°
(C) 120°
(D) 不确定

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Determine the perimeter of \(\triangle QRS\) given that \(\triangle QRS \sim \triangle QTP\).

Choices:
(A) 9
(B) 14
(C) 21
(D) 42

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the highest possible amount of interest payments on external debt across all countries?

Answer: $\boxed{5.47945757091254}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If you group the hearts into pairs, how many pairs can you form?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many neutrons are necessary to split a nucleus?
Choices:
(A) 2
(B) 3
(C) 1
(D) 4

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If you add 3 small red objects, what is the total number of objects?

Answer: $\boxed{9}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

Which states have the highest number of trucks, and what is the combined total number of trucks for these states?

Answer: $\boxed{13806}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图，菱形ABCD的边长为5，过点A、C作对角线AC的垂线，分别交CB和AD的延长线于点E、F，AE＝6，则四边形AECF的面积为（）
Choices:
(A) 32
(B) 24
(C) 48
(D) 30

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many objects are spheres?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the total accuracy of the 'effort' algorithm across all datasets?

Answer: $\boxed{28}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the primary persuasive appeal used in this ad?
Choices:
(A) pathos (emotion)
(B) ethos (character)
(C) logos (reason)

Answer: $\boxed{A}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If you connect all the paper clips into one chain, how many paper clips will the chain have?

Answer: $\boxed{9}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the length of the bar representing Violet?

Answer: $\boxed{3.9}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the difference in preference for the object crop between the coffee and wall categories?

Answer: $\boxed{2}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In which location is the hypervascular nodule situated?
Choices:
(A) Posterosuperior wall
(B) Lateral wall
(C) Anteroinferior wall
(D) Posteroinferior wall

Answer: $\boxed{C}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the range of the number of houses sold among the cities?

Answer: $\boxed{9}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

If the crayon is 4 units long, how many units long is the combination of the crayon and the eraser?

Answer: $\boxed{5}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

In which lobe of the liver is the tumor located?
Choices:
(A) right lobe
(B) left lobe
(C) both lobes
(D) unknown

Answer: $\boxed{B}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many squares wide is the letter R after transformation?

Answer: $\boxed{3}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

How many planes are there?

Answer: $\boxed{50}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

如图，在等边△ABC中，D、E分别是BC、AC上的点，且AE＝CD，AD、BE相交于F点，BH⊥AD于H点，FH＝3，EF＝0.5，若AD的长为6.5，求△AFH的面积。

Answer: $\boxed{9.75}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> $\boxed{2}$ </answer>, which means your output should start with <think> and end with </answer>.

What is the approximate length of the line in centimeters when measured to the nearest centimeter using the ruler?

Answer: $\boxed{10}$