You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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, AB is the diameter of circle O, chord CD is perpendicular to AB, and chord AF is extended. If ∠DFC = 48°, what is the degree measure of ∠CFE?
Choices:
(A) 60°
(B) 66°
(C) 68°
(D) 72°

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，在一个直角三角形中，∠BAC＝90°，AB＝3，AC＝4，P为边BC上的一点，PE垂直于AB于E，PF垂直于AC于F，则EF的最小值为（）
选项：
(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>.

What type of MRI was used in the scan?
Choices:
(A)  PET
(B)  CT
(C)  fMRI
(D)  Diffusion-weighted MRI

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 states with difficulties in the range of 6-20 and 21-31?

Answer: $\boxed{6}$


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

What is the total area of the two squares combined?

Answer: $\boxed{194}$


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

如图,在▱ABCD中,AC,BD交于点O,OE⊥BD,交AD边于点E,若▱ABCD的周长为20,则△ABE的周长为()
Choices:
(A) 4
(B) 6
(C) 8
(D) 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>.

Ling kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2016 and 2017?

Answer: $\boxed{-2}$


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

How many vertices does this shape have?

Answer: $\boxed{6}$


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

How many objects are there in total in the image?

Answer: $\boxed{5}$


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

What is the difference in the width of the letter R and the letter B in grid squares?

Answer: $\boxed{0}$


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

Is Dark Khaki the highest option available?
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 type of micrograph is depicted in the image?
Choices:
(A) electron micrograph
(B) fluorescent micrograph
(C) transmission micrograph
(D) scanning micrograph

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 visible stripes are there on the batter's pants?

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 tanks have exactly 40 fish?

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 value of the state with the lowest percentage of corporations?

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>.

如图,△ABC内接于⊙O,AB=BC,∠ABC=120°,AD为⊙O的直径,AD=10,那么BD=()
Choices:
(A) 8
(B) 5
(C) 8√{3}
(D) 5√{3}

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>.

Where was the cystic lesion located?
Choices:
(A) Right maxillary sinus
(B) Left maxillary sinus
(C) Right frontal sinus
(D) Left frontal sinus

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，线段AB是⊙O的直径，CD是⊙O的弦，过点C作⊙O的切线交AB的延长线于点E，∠E＝42°，则∠CDB等于（）
Choices:
(A) 22°
(B) 24°
(C) 28°
(D) 48°

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 perimeter of triangle ABC?

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>.

Which page number is referenced in the document?

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 question is best suited for Vince's experiment to answer:
(A) Can pennies hold more drops of water mixed with dish soap or water mixed with hand soap?
(B) Can pennies hold more drops of pure water or water mixed with hand soap?

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 graffiti tags are visible on the wall?

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 letter represents the Zone of Totality?
Choices:
(A) H
(B) N
(C) M
(D) U

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 Steel Blue the low median?
Choices:
(A) no
(B) yes

Answer: $\boxed{B}$


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

What part of the body was imaged in the CT scan?
Choices:
(A) Brain
(B) Chest
(C) Abdomen
(D) Legs

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 did fewer than 30 sit-ups?

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 donuts have a bite taken out of them?

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 average number of cans collected by the students?

Answer: $\boxed{53}$


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

Which solution has a higher concentration of these particles?
Choices:
(A) neither; their concentrations are the same
(B) Solution A
(C) Solution B

Answer: $\boxed{B}$


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

Is Blue the smoothest?
(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 probability that a pea plant produced by this cross will be homozygous recessive for the pod color gene?
Choices:
(A) 1/4
(B) 4/4
(C) 3/4
(D) 2/4
(E) 0/4

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 stages are in this cycle?
Choices:
(A) 5
(B) 4
(C) 2
(D) 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>.

What is the capital of this state?
Choices:
(A) Oklahoma City
(B) Tulsa
(C) Tallahassee
(D) Frankfort

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>.

The reflective ray is being illustrated by which letter?
Choices:
(A) K
(B) H
(C) I
(D) K

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 the given diagram, AB is the diameter of circle O. A tangent to circle O is drawn passing through point O, intersecting the extension of AB at point D. If ∠A = 25°, what is the measure of ∠D?
Choices:
(A) 25°
(B) 40°
(C) 50°
(D) 65°

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 action has been performed on this letter?
Choices:
(A) rotate
(B) shift
(C) invert

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，已知圆锥侧面展开图的扇形面积为65πcm²，扇形的弧长13πcm，则圆锥母线长是（）

选择：
(A) 5cm
(B) 10cm
(C) 12cm
(D) 13cm

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,∠MON=90°,点A,B分别在射线OM,ON上运动,BE平分∠NBA,BE的反向延长线与∠BAO的平分线交于点C,则∠C的度数是()
Choices:
(A) 30°
(B) 45°
(C) 55°
(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 hearts are there?
Choices:
(A) 9
(B) 6
(C) 1
(D) 8
(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>.

What is the total number of stars in the top two rows?

Answer: $\boxed{10}$


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

How many complete sets of 1 to 12 numbers are visible on the clock faces?

Answer: $\boxed{3}$


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

In which location is the nodule situated?
Choices:
(A) Right cavernous sinus.
(B) Left cavernous sinus.
(C) Frontal lobe.
(D) Occipital 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 this skateboarding feature?
Choices:
(A) funbox
(B) bowl
(C) rail
(D) half-pipe

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 area of triangle JMK?

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 location of the lesion?
Choices:
(A)  Right temporal lobe
(B)  Left frontal lobe
(C)  Right frontal lobe
(D)  Left temporal lobe

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 country's flag is being flown?
Choices:
(A) france
(B) italy
(C) switzerland
(D) england

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>.

Does Jen have sufficient funds amounting to $1,247 to purchase both a guitar and a cornet?
Choices:
(A) yes
(B) no

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 values for Forest Green?

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>.

In triangle ABC, where angle A is 90 degrees, point D lies on side AB. If angle ACD is equal to angle B, AD is 1, and AC is 2, what is the length of BC?
(A) 4
(B) 4√{5}
(C) 5√{2}
(D) 2√{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>.

how many players in total are wearing red and black jerseys in the image?

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>.

If you need to cover the line with paper clips without any gaps, how many additional half-sized paper clips would you need?

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 rectangles present among the given choices?
Choices:
(A) 4
(B) 1
(C) 5
(D) 3
(E) 2

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 number on the airplane?

Answer: $\boxed{4}$


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

In the given diagram, the length of an escalator in a shopping mall is 10 meters, and the height it reaches is 6 meters. The angle formed between the escalator and the ground is denoted by θ. What is the value of tanθ?
Choices:
(A) 3/4
(B) 4/5
(C) 4/3
(D) 3/5

Answer: $\boxed{A}$


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

Which label points to the large intestine?

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>.

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

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 purple particles in both solutions combined?

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>.

Subtract the orange cube. How many non-blue objects 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>.

What is the total number of movie rentals for the month?

Answer: $\boxed{180}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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 cost if you need to pay the amount on the paper by the microwave for 3 people and each person also needs to pay an additional $5 for a key deposit?

Answer: $\boxed{75}$


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>.

How many individuals are wearing hats?

Answer: $\boxed{10}$


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

Which mode of transportation is depicted upside-down?
Choices:
(A) bicycle
(B) skateboard
(C) scooter
(D) moped

Answer: $\boxed{A}$


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

If light hits liquid A at an angle of 30 degrees from the liquid's surface, what is the refractive index of liquid A given that the light is refracted 45 degrees from the normal?

Answer: $\boxed{1.22}$


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

将一个半径为9,圆心角为120°的扇形,卷成一个如图形状的圆锥(无重叠),则这个圆锥底面圆的半径是多少？
选项:
(A) 1
(B) 2
(C) 3
(D) π

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>.

Observe this table. Is this a function?
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>.

Why is there something on the counter?
Choices:
(A) ambiance
(B) cooking utensil
(C) vegetable storage
(D) no dishwasher

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 advertisements can be seen in the background?

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>.

Subtract all gray cylinders. Subtract all purple balls. How many objects are left in total?

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>.

Which of these organisms contains matter that was once part of the bilberry?
Choices:
(A) barren-ground caribou
(B) snowy owl

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是正六边形ABCDEF的外接圆，P是弧AB上一点，则∠CPD的度数是（）
Choices:
(A) 30°
(B) 40°
(C) 45°
(D) 60°

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 total bears are there in the image?

Answer: $\boxed{6}$


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

What was the price difference of Houston Sporting Goods's stock between Wednesday and Thursday according to the stock broker's observations?

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 starting value of Dark Gold at x-axis label 0?

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>.

Determine the value of x. Assume that segments that seem to be tangent are tangent.
Choices:
(A) 3
(B) 9
(C) 12
(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>.

How many of these are there?

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>.

如图，在矩形ABCD中，AB＝2，∠AOB＝60°，则BD的长为（）
Choices:
(A) 4
(B) 3
(C) 2
(D) 2√{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>.

如图,已知AB是⊙O直径,∠AOC=130°,则∠D等于多少？
选项:
(A) 65°
(B) 25°
(C) 15°
(D) 35°

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 are the images sorted?
Choices:
(A)  Randomly
(B)  According to increasing fluorescence
(C)  According to increasing membrane thickness
(D)  According to increasing lateral chain volume

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 duration in seconds for the transmission mentioned in the report?

Answer: $\boxed{171}$


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

In the figure, in circle O, if ∠ABC = 51°, then ∠AOC is equal to which of the following angles?
(A) 51°
(B) 80°
(C) 90°
(D) 102°

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 condition of the brain ventricles seen here?
Choices:
(A) Abnormal
(B) Collapsed
(C) Hyperactive
(D) Normal

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 more people prefer the 'access' category over the 'pure' category?

Answer: $\boxed{15}$


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

What is the ratio of the altitude to the base of the triangle?

Answer: $\boxed{0.6}$


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 much money does Elise need to buy a teddy bear, a stuffed animal, and a board game?

Answer: $\boxed{46}$


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

What is the difference in the total number of blue dots between the "fool" and "reason" groups?

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 highest accuracy reported in the whole chart?

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>.

If you select a marble without looking, which color are you more likely to pick?
Choices:
(A) pink
(B) neither; black and pink are equally likely
(C) black

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 final value for Khaki at x-axis label 100?

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>.

In this diagram, which which label stands for Centrioles ?
Choices:
(A) D
(B) F
(C) L
(D) A

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 countries border Iran according to the map?

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 motorcycles have visible side mirrors?

Answer: $\boxed{2}$


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

In which location do these items grow?
Choices:
(A) tree
(B) ground
(C) bush
(D) flower

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 might most people here do on this day?
Choices:
(A) get refunds
(B) sell things
(C) swim
(D) eat sharks

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 individuals present?

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 much more did the convenience store make from Krazy Kola sales than from Kickin' Coffee sales on Sunday?

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 much greater were the industrial nitrous oxide emissions in 2000 compared to the agricultural nitrous oxide emissions in 2005?

Answer: $\boxed{-45.30000000000018}$


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

What action has been performed on this letter?
Choices:
(A) slide
(B) flip
(C) turn

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 species are shown?
Choices:
(A) 8
(B) 7
(C) 9
(D) 6

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 combined value of the day of the month and the month displayed on the watch?

Answer: $\boxed{28}$


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

Which diagnostic tool was utilized to capture images of the patient among the following options: MRI scan, CT scan, Ultrasound, or X-ray?
Choices:
(A)  MRI scan
(B)  CT scan
(C)  Ultrasound
(D)  X-ray

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 year does the event take place?

Answer: $\boxed{2014}$


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

Answer: $\boxed{1872}$


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

In which year did the capital account have a value of zero?

Answer: $\boxed{2008}$


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

At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags contained exactly 13 butterscotch candies?

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 length of the diagonal of the rectangle in the image?

Answer: $\boxed{25}$


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

How many students are there in total according to the recorded scores on the math quiz?

Answer: $\boxed{53}$


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

If Eve buys 2+1/2 pounds of mulch, how much will she spend?

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>.

If L K = 4, M P = 3, P Q = 6, K J = 2, R S = 6, and L P = 2, find Q R.
Choices:
(A) 2
(B) 3
(C) 4
(D) 6

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, a strip of paper is folded twice along lines AB and CD, which are parallel to each other. If CD is parallel to BE and angle 1 is 30°, what is the measure of angle 2?
Choices:
(A) 50°
(B) 60°
(C) 65°
(D) 70°

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>.

At last Sunday's art workshop, the Burlington Art Museum documented the number of finger puppets each child made. How many children created a minimum of 5 finger puppets?

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>.

If two more leaves fall, how many bugs will not have leaves?

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>.

Which label represents the phase of the moon occurring when it passes between the earth and the sun and is invisible or visible only as a narrow crescent at sunset?
Choices:
(A) I
(B) D
(C) F
(D) B

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 tennis balls can be seen 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 difference between the highest and the lowest total debt in this year?

Answer: $\boxed{2755666946.5}$


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>.

How many datasets have an accuracy of 5 or higher for the 'proof' algorithm?

Answer: $\boxed{2}$


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

How many objects have a matte finish?

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>.

The man with the red trunks has what body type?
Choices:
(A) gangly
(B) willowy
(C) svelte
(D) husky

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 object is the squatting man holding in his hand that is brown in color?
Choices:
(A) football
(B) resin
(C) glove
(D) pretzel

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 average number of states visited by the students in Tanvi's class?

Answer: $\boxed{7.375}$


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

Answer: $\boxed{16}$


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

How many numbers are on this item?

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>.

Look at the table. Then answer the question. At a price of $325, 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>.

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

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 images are displayed in the given picture?

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>.

如图,过⊙O外一点P引⊙O的两条切线PA、PB,切点分别是A、B,OP交⊙O于点C,点D是⁀{ABC}上不与点A、点C重合的一个动点,连接AD、CD,若∠APB=80°,则∠ADC的度数是多少?

Choices:
(A) 15°
(B) 20°
(C) 25°
(D) 30°

Answer: $\boxed{C}$


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

Is this color the smallest segment?
Choices:
(A) no
(B) yes

Answer: $\boxed{A}$


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

How many clock hands are visible in the image?

Answer: $\boxed{6}$


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

What is the total number of triangles present?
Choices:
(A) 7
(B) 6
(C) 3
(D) 4
(E) 1

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 sum of the total unemployed population ?

Answer: $\boxed{41.400000572204576}$


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

What material is this made of?
Choices:
(A) ceramic
(B) linen

Answer: $\boxed{B}$


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

Is the number of fish even or odd?
Choices:
(A) odd
(B) even

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 number of flowers?

Answer: $\boxed{38}$


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

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>.

Which destination on the hiking trails near Braden's campground has a higher elevation from sea level, the underground lake in the small cave or the mountain peak?
Choices:
(A) underground lake
(B) mountain peak

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 will happen between these magnets?
Choices:
(A) repel
(B) attract

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>.

如图所示,第一个天平的两侧分别放2个球体和5个圆柱体,第二个天平的两侧分别放2个正方体和3个圆柱体,两个天平都平衡,则6个球体的质量等于几个正方体的质量？

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>.

In the given diagram, AB is the diameter of circle O, AC is a chord, CD is a tangent to circle O at point C, intersecting the extension of AB at point D, and ∠ACD = 120°. If BD = 10cm, what is the radius of circle O?
Choices:
(A) 5cm
(B) 8cm
(C) 10cm
(D) 12cm

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 schools in all towns combined?

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 difference in value between Light Seafoam and Maroon?

Answer: $\boxed{60}$


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

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

Answer: $\boxed{97.8}$


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>.

Which of the following is the lowest part?
(A) none of the above
(B) kaibab
(C) moenkopi
(D) breccia

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 label corresponds to the bone among the choices (A) M, (B) X, (C) E, and (D) A?

Answer: $\boxed{A}$


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

If BA = 20 and EF is tangent to circle O at point D, what is the length of segment ED?

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>.

How many states border the highlighted state?

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 shapes are there?
Choices:
(A) 3
(B) 2
(C) 1
(D) 5
(E) 4

Answer: $\boxed{A}$


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

How many food samples were positive at higher levels for Apparent EBDC?

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>.

Identify and count the number of unique organelles and structures labeled in the neuron diagram, excluding any repeated labels

Answer: $\boxed{18}$


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

After subtracting all the large metal cylinders, how many cylinders are remaining?

Answer: $\boxed{1}$