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

Where are these individuals situated?
Choices:
(A) restaurant
(B) garage
(C) stadium
(D) office building

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 right triangle ABC, with ∠BAC=90°, DE⊥BC, BE=EC, ∠1=∠2, AC=6, and AB=10, what is the measure of angle ∠1?

Answer: $\boxed{90}$


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

If the score of 54 is considered an outlier, what is the new average score without it?

Answer: $\boxed{32.29}$


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

What range covers x-rays?
Choices:
(A) 1cm-1m
(B) 0.01nm - 10nm
(C) 400nm-600nm
(D) 0.01nm-100nm

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 holding down the kites?
Choices:
(A) dumbbells
(B) rocks
(C) feet
(D) bricks

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△ABC中，AB＝10，AC＝8，BC＝6，AC的垂直平分线交AB于点D，垂足为E，连接CD，则CD的长是多少？
Choices:
(A) 3
(B) 4
(C) 4.8
(D) 5

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 can be purchased in the yellow building?
Choices:
(A) skateboards
(B) bikes
(C) sneakers
(D) lottery tickets

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 items can Jaden and Meg exchange in order to obtain what they desire?
Choices:
(A) Meg can trade her broccoli for Jaden's oranges.
(B) Jaden can trade his tomatoes for Meg's sandwich.
(C) Jaden can trade his tomatoes for Meg's broccoli.
(D) Meg can trade her almonds for Jaden's tomatoes.

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 the area under the curve for Orange the largest?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


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

What is the measure of angle RCL?
(A) 43
(B) 137
(C) 223
(D) 247

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>.

Why do the horses wear leg coverings?
Choices:
(A) parade elevation
(B) armor
(C) decoration
(D) digging tools

Answer: $\boxed{B}$


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

What is the highest value for Indigo?

Answer: $\boxed{92}$


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

Use paper clips to measure this. It is about (_) paper clips long.

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 palm trees are visible in the image?

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>.

Given the circle on the right with two tangents from a common external point, determine the measure of the angle marked as x.
Choices:
(A) 60
(B) 80
(C) 85
(D) 130

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>.

Subtract all yellow cylinders. How many green cubes are left?

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>.

如图,AB是⊙O的直径,点C是AB延长线上一点,且OB=BC,CP、CQ、DE是⊙O的切线,P、Q是切点,若⊙O的半径为2,则△CDE的周长为多少？

选择:
(A) 4
(B) 6
(C) 4√
(D) 6√

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 number on the batter's jersey?

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 average number of hours slept over the 7 days?

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>.

如图，△ABC为圆O的内接三角形，AB为圆O的直径，点D在圆O上，∠BAC＝35°，则∠ADC的度数是多少？
选项：
(A) 45°
(B) 50°
(C) 55°
(D) 65°

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>.

Some friends discussed the sizes of their coin collections. Who has the fewest coins?
Choices:
(A) Perry
(B) Allie
(C) Derek
(D) Britney

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 did the coronary angiogram reveal in this patient?
Choices:
(A) Normal coronary arteries
(B) Anomalous origin of the RCA from right sinus of Valsalva
(C) Severe stenotic lesions in the left coronary arteries
(D) Severe stenotic lesions in the RCA.

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 distinct temperature zones can be identified within the outlined area?

Answer: $\boxed{3}$


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

How many metallic objects are there?

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>.

Leroy went to the store and bought 2.5 kilograms of something. How much did he spend?

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>.

Determine the value of x, assuming that segments that seem to be tangent are indeed tangent. The options are:
(A) 15
(B) 20
(C) 15 √3
(D) 30

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>.

Which type of television display technology is currently utilized in the living room? Is it OLED, CRT, plasma, or LCD?
Choices:
(A) oled
(B) crt
(C) plasma
(D) lcd

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 name of the colony shown?
Choices:
(A) Michigan
(B) Rhode Island
(C) West Virginia
(D) Connecticut

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 will the people here be getting home?
Choices:
(A) taxi
(B) flying
(C) uber
(D) train

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 difference between the summed values of the group with the largest summed value and the group with the smallest summed value?

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 length of chord AC?

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>.

What is the total number of tomatoes in the image?

Answer: $\boxed{7}$


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

How many stars are there?
Choices:
(A) 10
(B) 6
(C) 8
(D) 3
(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>.

What kind of imaging technique is depicted in this study?
Choices:
(A) Transmission electron microscopy
(B) Scanning electron microscopy
(C) Fluorescence microscopy
(D) Confocal microscopy

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 motorcycles are visible in the image?

Answer: $\boxed{3}$


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

What is the number on the jersey of the player standing closest to the basket?

Answer: $\boxed{23}$


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

How many times is the word "coffee" written on the coffee cup, and what is the total number of words written on the cup?

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 country is being indicated by the highlight among the following options: Saint Vincent and the Grenadines, Grenada, Trinidad and Tobago, or Dominica?
Choices:
(A) Saint Vincent and the Grenadines
(B) Grenada
(C) Trinidad and Tobago
(D) Dominica

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 individual in the orange cap doing?
Choices:
(A) scoring game
(B) yelling insults
(C) spotting cheaters
(D) establishing rhythm

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>.

如图，△ABC中，∠BAC＞90°，AB的垂直平分线交AB于点D，交BC于点E，AC的垂直平分线交AC于点F，交BC于点G．若以BE，EG，GC为边的三角形的面积为8，则△ABC的面积可能是（）
选项：
(A) 12
(B) 14
(C) 16
(D) 18

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>.

Is it possible to draw a circle using this shape?
Choices:
(A) yes
(B) no

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>.

如图，A、B、C、D四个点均在圆上，∠AOD=70°，AO∥DC，求∠B的度数。
选项：
(A) 40°
(B) 45°
(C) 50°
(D) 55°

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>.

If you add 3 tiny blocks, how many items are there?

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>.

While doing a project for P. E. class, Cora researched the number of athletes competing in an international sporting event. How many countries have exactly 77 athletes?

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 part of the Earth's mantle is located below the lithosphere?
Choices:
(A) Stratosphere
(B) Asthenosphere
(C) Earth core
(D) Hangingwall

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 rectangle ABCD, if the length of diagonal AC is 10, what is the area of triangle AOB?

Answer: $\boxed{10}$