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 diagonals AC and BD of rectangle ABCD intersect at point O, and AB = 8, what is the ratio of AO to OC?

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>.

If one green marble and the black marble are removed from the group, how many marbles are left?

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>.

如图,△ABC的三个顶点都在一个圆上,AD是直径,且∠CAD=56°,则∠B的度数为()
Choices:
(A) 44°
(B) 34°
(C) 46°
(D) 56°

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 people are in the distribution list?

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>.

What does the image show?
Choices:
(A)  Edema of the cerebellum (black arrow).
(B)  Atrophy of the nodulus (black arrow).
(C)  Enlarged fourth ventricle without any changes in the cerebellum.
(D)  Enlarged nodulus (black arrow) within the small fourth ventricle.

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 two more jackets are added, how many buttons will there be in total?

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>.

Add 1 shiny blocks. How many objects exist?

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>.

What is the letter indicated on the top left corner of the image?

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 colour of flower A?
Choices:
(A) red
(B) pink
(C) yellow
(D) blue

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>.

Remove all yellow cubes. How many shapes remain?

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>.

If Seth has $50, how many chocolate cheesecakes can he buy without exceeding his budget?

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>.

Dave, a journalism student, counted the number of pages in several major magazines. What is the highest number of pages?

Answer: $\boxed{76}$


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 each twig has 10 beetles, how many beetles are on 7 twigs?

Answer: $\boxed{70}$


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 bags that had less than 65 lemon-flavored candies?

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>.

Which actress hails from this country?
(A) Millie Brady
(B) Brooke Shields
(C) Jennifer Connelly
(D) Salma Hayek

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 shapes are only orange and not squares?

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 number of bears?
Choices:
(A) 2
(B) 8
(C) 10
(D) 6
(E) 1

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>.

Identify the stage in the life cycle that is considered the oldest from the following options:
(A) D
(B) C
(C) A
(D) E

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 parallelogram ABCD, with AE bisecting angle BAD and intersecting CD at E, if AD=3 and AB=4, what is the perimeter of parallelogram ABCD?

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>.

How many magnets are on the refrigerator door?

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 view shown here?
Choices:
(A) Axial view
(B) Coronal view
(C) Sagittal view
(D) Oblique 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>.

如图,已知线段AB,过点B作AB的垂线,并在垂线上取BC=\frac{1}{2}AB；连接AC,以点C为圆心,CB为半径画弧,交AC于点D；再以点A为圆心,AD为半径画弧,交AB于点P,则\frac{AP}{AB}的值是多少？
Choices:
(A) \frac{√{5}-1}{2}
(B) \frac{√{5}+1}{2}
(C) \frac{3-√{5}}{2}
(D) \frac{√{2}}{2}

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>.

Each town has 2 schools. How many schools are in 5 towns?

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 total number of athletes from countries that have at least 46 athletes but fewer than 73 athletes?

Answer: $\boxed{365}$


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 events are scheduled after the Golf event on November 9, 1996?

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>.

What is the mean value of the compound with the highest mean?

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 number of the player in red near the referee?

Answer: $\boxed{27}$


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都在圆O上，∠A=∠B=20°，则∠AOB等于多少？
选项：
(A) 40°
(B) 60°
(C) 80°
(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>.

What type of echocardiography view is used to display the aorta arch?
Choices:
(A)  Coronal view.
(B)  Axial view.
(C)  Sagittal view.
(D)  Transverse 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 letter designation of this image?

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 sandals are visible on the ground?

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 were the observations made on the CT chest scan of the patient?
Choices:
(A)  Bilateral anterior upper lobe consolidations
(B)  Bilateral posterior lower lobe consolidations
(C)  Unilateral middle lobe consolidation
(D)  No consolidations seen.

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>.

Look at the table. Then answer the question. At this price, is there a shortage or a surplus?
Choices:
(A) shortage
(B) surplus

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 the quantity of stars even or odd?
Choices:
(A) even
(B) odd

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>.

On which day did the hotel have the lowest number of guests, according to the data looked up by the front desk clerk?
Choices:
(A) Friday
(B) Saturday
(C) Sunday
(D) Monday

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>.

Given \( m \angle BAC = 40^\circ \), \( m \angle DAC = 40^\circ \), and \( DC = 10 \), find \( BC \).

Choices:
(A) 10
(B) 20
(C) 30
(D) 40

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 light fixtures are visible in the dining room?

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 probability of spinning a 2 on the wheel?

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>.

How many rows of dots 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>.

How much money did Harold spend on purchasing 3 pounds of hemp flour and 3 pounds of unbleached white flour at the store?

Answer: $\boxed{24}$


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 squares present on the frame?
Choices:
(A) 2
(B) 9
(C) 4
(D) 3
(E) 10

Answer: $\boxed{E}$


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>.

如图所示,D、E分别是△ABC的边AB、BC上的点,且DE∥AC,连接AE、CD,相交于点O,若S△DOE:S△COA=1:9,△BDE的面积为3,则△ABC的面积为()
Choices:
(A) 9
(B) 18
(C) 27
(D) 45

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，△ABC中，AB＝AC，∠BAC＝100°，AD是BC边上的中线，CE平分∠BCA交AB于点E，AD、CE相交于点F，则∠CFA的度数是多少？
选项：
(A) 100°
(B) 105°
(C) 110°
(D) 120°

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 direction should you take to reach the nearest soccer field?
Choices:
(A) go straight
(B) go back
(C) turn right
(D) turn left

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 white thing folded in the corner?
Choices:
(A) table
(B) bed sheet
(C) poster
(D) box

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 more calls were received on Monday compared to Wednesday?

Answer: $\boxed{37}$


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 number?

Answer: $\boxed{20}$


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>.

Which tissue layer is being referred to in the caption?
Options:
(A) Epidermis
(B) Submucosal layers of fascia
(C) Collagen fibers
(D) Adipose 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>.

What can they trade to each get what they want?
Choices:
(A) They can trade tomatoes for carrots.
(B) They can trade tomatoes for broccoli.
(C) They can trade broccoli for oranges.
(D) They can trade almonds for tomatoes.

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 blue umbrellas have no visible occupants underneath?

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>.

What was found in the CT examination of the patient?
Choices:
(A)  A small mass in the anterior mediastinum
(B)  A large mass in the posterior mediastinum
(C)  A large mass in the anterior mediastinum
(D)  No mass was found in the mediastinum.

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 number of stars?
Choices:
(A) 1
(B) 7
(C) 8
(D) 6
(E) 10

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 number of cracked window panes in all shipments that had at least 40 cracked window panes but less than 70 cracked window panes?

Answer: $\boxed{449}$


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 subtract 1 block, how many blocks remain?

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>.

What can you see in the sky?
Choices:
(A) fireworks
(B) birds
(C) sunset
(D) stars

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>.

Is Light Green the color 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 value represented by the 'form' bar?

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>.

What is the range of the number of peppermint candies per jar?

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>.

In this diagram, which part of the flower is at the end of the filaments?
Choices:
(A) stigma
(B) sepal
(C) anther
(D) style

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>.

The first picture is a tractor. Which picture is eighth?
Choices:
(A) tractor
(B) barn
(C) sun

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 color is less, Green Yellow or Gold?
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 shapes are there in total?

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 surface marker is displayed on alveolar macrophages in the image provided?
Options:
(A) CD11b
(B) CD54
(C) CD43
(D) CD71

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 individuals are using cell phones?

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 age group is most represented at this location?
Choices:
(A) seniors
(B) teens
(C) children
(D) adults

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 number of marbles?

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>.

Use the given parallelogram to determine NQ.
Choices:
(A) 13
(B) 14
(C) 15
(D) 16

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 you select a marble without looking, how likely is it that you will pick a black one?
Choices:
(A) unlikely
(B) impossible
(C) probable
(D) certain

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 value of Medium Blue at x-axis label 60?

Answer: $\boxed{40}$


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，有一块含有45°角的直角三角板的两个顶点放在直尺的对边上。如果∠1=22°，那么∠2的度数是多少？

选项：
(A) 30°
(B) 23°
(C) 20°
(D) 15°

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 phase in that comes after the Waning Gibbous Moon?
Choices:
(A) Waxing Crescent Moon
(B) Last Quarter Half Moon
(C) New Moon
(D) Waxing Gibbous Moon

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 range of the total hours worked by the waitress each day?

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>.

Given that lines l1, l2, and l3 are parallel, and the line segment AC is 11 units long, what is the length of line segment CD?

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 a shared characteristic of these two items?
Choices:
(A) colorful
(B) stretchy

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>.

In the given diagram, the radius of circle O is 5. Chords AB and CD correspond to central angles ∠AOB and ∠COD, respectively. If ∠AOB and ∠COD are complementary, and chord AB is 8 units long, what is the length of chord CD?
Choices:
(A) 6
(B) 8
(C) 5√{2}
(D) 5√{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>.

What is the value of "B" "01" for Primary Pinnacle?

Answer: $\boxed{10682}$


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>.

Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
Choices:
(A) sample B
(B) sample A
(C) neither; the samples have the same temperature

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 median number of lawn mowers sold in the past 7 days?

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>.

If there are 5 boats in the top ten frame, how many boats are in the bottom ten frame?

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>.

How many more total livestock (cows and donkeys combined) does Watson Farm have than Meadow Farm?

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 different types of items are there in the image, excluding any type of candy?

Answer: $\boxed{20}$


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>.

如图,四边形ABCD内接于⊙O,DA=DC,∠CBE=52°,则∠DAC的大小为()
Choices:
(A) 128°
(B) 104°
(C) 64°
(D) 52°

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，在△ABC中，∠BAC＝90°，AB＝3，AC＝4，P为边BC上一动点，PE⊥AB于E，PF⊥AC于F，则EF的最小值为（）
Choices:
(A) 1.2
(B) 1.25
(C) 2.4
(D) 2.5

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>.

Diana went to the store. She bought some unsweetened applesauce and some plain applesauce. How much did she spend?

Answer: $\boxed{35}$


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 shape is the small plate?
Choices:
(A) circle
(B) octagon
(C) square
(D) hexagon

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 median team size?

Answer: $\boxed{56.5}$


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 difference between the total values of the 'board' bars and the 'bare' bars in the chart?

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>.

Use the ruler to find the length of the line to the nearest centimeter. The line is approximately (_) centimeters long.

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 authorized amount for Bernice McKell?

Answer: $\boxed{92.25}$


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>.

How many stages are in this diagram?
Choices:
(A) 2
(B) 1
(C) 4
(D) 3

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 fund number associated with George R Morrison's account?

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 located between the moon and the sun?
Choices:
(A) pluto
(B) umbra
(C) earth
(D) penumbra

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>.

In the given diagram, if ∠BAC = 36°, point O is on side AB, ⊙O is tangent to side AC at point D, and intersects side AB at points E and F. If FD is connected, what is the measure of ∠AFD?
(A) 27°
(B) 29°
(C) 35°
(D) 37°

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 total value for the category "son" in the group "meat"?

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>.

How many objects are neither green nor cylinders?

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>.

What color is the body contour displayed in on the coronal view?
Choices:
(A)  Red
(B)  Blue
(C)  Green
(D)  Yellow

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>.

In the rectangle ABCD, diagonals AC and BD intersect at point O, with ∠AOD = 120° and AB = 4. What is the area of triangle BOC?
Choices:
(A) 4
(B) 4√{3}
(C) 8
(D) 8√{3}

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>.

In how many places is the import value of goods and services more than 32000000000 US$?

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 image shows the blue areas most clearly?
Choices:
(A) Original sharp-kernel
(B) Median-filtered
(C) Kernel-converted
(D) Original soft-kernel

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 staff members are listed under the OTA Food Program Staff and the OTA Publishing Staff combined?

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>.

Is Dark Green the highest 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>.

In triangle ABC with DE parallel to BC, if AD:DB = 2:3 and the length of DE is 6 units, what is the length of BC?

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 grid squares does the letter R cover?

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>.

To which destination will the vehicle on the right transport you?
Options:
(A) airport
(B) mall
(C) hospital
(D) stadium

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 time to the nearest hour is shown on this?

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 depicted in the ultrasound images?
Choices:
(A) Posteriorly located and contracted cervix and lower uterine segment.
(B) Anteriorly located and stretched cervix and lower uterine segment.
(C) Laterally located and expanded cervix and lower uterine segment.
(D) Anteriorly located and contracted cervix and upper uterine segment.

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 highlighted in this image?

Answer: $\boxed{13}$


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>.

In the accompanying diagram, ABC is an equilateral triangle with a perimeter of 30. What is the length of altitude h of this triangle?
Choices:
(A) 5\sqrt(2)
(B) 5\sqrt(3)
(C) 10\sqrt(2)
(D) 10\sqrt(3)

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 flowers are in each row?

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 total number of people surveyed about their trips to the movies last month?

Answer: $\boxed{40}$


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 fourth group from the bottom?

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>.

If each star represents 5 points, how many points are the stars in the frame worth in total?

Answer: $\boxed{20}$


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>.

Find the measure of \(\angle BGC\) if \(m \angle DGF = 53^\circ\) and \(m \angle AGC = 40^\circ\)

Answer: $\boxed{87}$


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 does the orange box in (f) highlight?
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 value of the largest individual bar in the whole chart?

Answer: $\boxed{100000000}$


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 two objects have in common?
Choices:
(A) sticky
(B) bendable

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>.

Find the value of \( x \) and then determine the measure of \(\angle JML\)

Answer: $\boxed{96}$


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 triangles that are not in the top row?

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>.

How many individuals can sit in this?

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 region of the brain is depicted in the image provided, with the options being Cerebellum, Thalamus, Hypothalamus, and Medulla?
Choices:
(A) Cerebellum
(B) Thalamus
(C) Hypothalamus
(D) Medulla

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,在四边形ABCD中,已知AB=CD,M、N、P分别是AD、BC、BD的中点∠ABD=20°,∠BDC=70°,则∠NMP的度数为多少？
Choices:
(A) 50°
(B) 25°
(C) 15°
(D) 20

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 building is on the left?
Choices:
(A) hotel
(B) government building
(C) residential building
(D) shopping mall

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>.

In right triangle ACB, where angle C is 90°, angle A is 37°, and AC is 4, approximately how long is BC?
(A) 2.4
(B) 3.0
(C) 3.2
(D) 5.0

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,⊙O是△ABC的外接圆,连接OA,OB,∠OBA=50°,则∠C的度数为()
Choices:
(A) 30°
(B) 40°
(C) 50°
(D) 80°

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,AB是半圆的直径,点D是⁀{AC}的中点,∠ABC=50°,则∠DAB等于多少度?
Choices:
(A) 65°
(B) 60°
(C) 55°
(D) 50°

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 sides does each shape have?

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 individuals dressed in tan pants and black shirts are visible here?
Choices:
(A) two
(B) five
(C) one
(D) six

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>.

In which specific area is the displayed atrophy located?
Choices:
(A) Right frontal lobe
(B) Left frontal lobe
(C) Occipital lobe
(D) Temporal lobe

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 agenda items listed, excluding the ones related to "Council membership" and "Other membership"?

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>.

If the spinner is spun 60 times, how many times would it theoretically land on a color other than white?

Answer: $\boxed{45}$


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 diagram, PA and PB are tangents to circle O, with points of tangency at A and B. The extension of PO intersects circle O at point C, and lines OA, OB, and BC are connected. If AO = 2 and OP = 4, what is the measure of angle C?
Choices:
(A) 20°
(B) 30°
(C) 45°
(D) 60°

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 have a value greater than 44.2%?

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>.

Jon counted the number of silver beads on each bracelet at Lakeside Jewelry, the store where he works. How many bracelets had at least some silver beads but fewer than some other silver beads?

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>.

In triangle ABC, DE is parallel to BC, AD:AB=1:3. If the area of triangle ADE is 4, what is the area of triangle ABC?
(A) 12
(B) 16
(C) 24
(D) 36

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 near this truck?
Choices:
(A) traffic cone
(B) carrot
(C) horse
(D) stop sign

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 are these animals pulling?
Choices:
(A) sled
(B) wagon
(C) stagecoach
(D) chariot

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 objects have a metallic texture?

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>.

How many vertices does this shape have?

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 difference between the highest and the second highest balance of payments for these services?

Answer: $\boxed{0.63}$


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 tertiary consumers are depicted in this food web?

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>.

Which view is shown for the Munchkin cat?
Choices:
(A)  Anterior view
(B)  Ventral view
(C)  Lateral view
(D)  Dorsal 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>.

Is Medium Orchid the roughest?
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>.

Jackson just downloaded the new game Gem Excavator on his phone. In the first level, Jackson gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Jackson's points. Which color gem affects Jackson's points less?
Choices:
(A) green
(B) red

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 exchange rate for Lebanon in the year 2015?

Answer: $\boxed{1500}$


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 more does a red sweater cost than a pair of black socks?

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>.

How many bags had more than 70 butterscotch candies?

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>.

How can seeds from a pine tree be dispersed?
Choices:
(A) by sticking to cones
(B) by blowing in the wind

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>.

Add 3 small purple spheres. How many small spheres exist?

Answer: $\boxed{4}$