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

How many other objects share the same shape as the large green thing?

Answer: $\boxed{1}$


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

The first picture is a train. Which picture is fifth?
Choices:
(A) train
(B) bear
(C) plane

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>.

Out of the three activities Pam did on Wednesday evening, which one did she do last?
Choices:
(A) listened to music
(B) went for a walk
(C) wrote a poem

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 goals made by Matt from Friday to Tuesday?

Answer: $\boxed{8}$


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

how many people are visible in the photo?

Answer: $\boxed{9}$


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

How many books are on the shelf to the right of the monitor?

Answer: $\boxed{11}$


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

What is the value of Khaki at x-axis 50?

Answer: $\boxed{30}$


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

If you were to add one more tally mark, how many groups of five would there be?

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 the labels in the diagram represents an element with two protons and two neutrons, and what is the total number of protons and neutrons in the nucleus of this element?

Answer: $\boxed{4}$


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

What is the smallest team size recorded at the swim meet?

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>.

P M is a diameter of a circle. Find the measure of angle M N P.
Choices:
(A) 120
(B) 140
(C) 160
(D) 180

Answer: $\boxed{D}$


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

If the second group of dots is removed, how many dots will remain in the model?

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>.

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

Answer: $\boxed{A}$


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

What is the purpose of having all the umbrellas there?
Choices:
(A) keep dry
(B) for sale
(C) left there
(D) sun protection

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 shipments had an even number of broken plates?

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 CASING APPLICATION RATE between a CASING RATE of 10% and 20%?

Answer: $\boxed{80.08}$


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

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

Answer: $\boxed{B}$


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

What is the purpose of these image slices mentioned in the caption?
Choices:
(A)  To show a virtual phantom image slice after an HN image slice for qualitative comparison.
(B)  To show the HN image slice before a virtual phantom image slice for qualitative comparison.
(C)  To show two virtual phantom image slices for quantitative comparison.
(D)  To show the HN image slice after a virtual phantom image slice for quantitative comparison.

Answer: $\boxed{B}$


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

What is the highest CPIA financial sector rating for Nicaragua?

Answer: $\boxed{3.5}$


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 can obviously be used to save your life here?
Choices:
(A) bulletproof armor
(B) life vest
(C) water
(D) tiles

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 vertices are there in total for all the shapes combined?

Answer: $\boxed{56}$


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

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>.

How many muffins have a dollop of cream on top?

Answer: $\boxed{1}$


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

How many different courts are involved in the litigation against filers of Abbreviated New Drug Applications (ANDAs) as listed in the document?

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>.

After subtracting all the cylinders, what is the total number of objects remaining?

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>.

How many turtles are shown in the image?

Answer: $\boxed{2}$


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

How many sets of bars are there?

Answer: $\boxed{4}$


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

如图,在四边形ABCD中,对角线AC⊥BD,垂足为O,点E、F、G、H分别为边AD、AB、BC、CD的中点．若AC=10,BD=6,则四边形EFGH的面积为()
Choices:
(A) 20
(B) 15
(C) 30
(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>.

Which city is the capital of Utah?
Choices:
(A) Denver
(B) Provo
(C) Phoenix
(D) Salt Lake City

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 can the symbols on the top yellow sign be described?
Choices:
(A) numbers
(B) hieroglyphics
(C) roman numerals
(D) hanzi

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 average rate of change in the number of emails Allie received per day from Tuesday to Saturday?

Answer: $\boxed{-1.2}$


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

如图,把直角三角板的直角顶点O放在破损玻璃镜的圆周上,两直角边与圆弧分别交于点M、N,量得OM=8cm,ON=6cm,则该圆玻璃镜的半径是()
Choices:
(A) √{10}cm
(B) 5cm
(C) 6cm
(D) 10cm

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>.

Based on the diagram, in △ABC, AE meets BC at point D, ∠C = ∠CBE, AD:DE = 3:5, and BD = 4. What is the length of DC?

Choices:
(A) \(\frac{15}{4}\)
(B) \(\frac{12}{5}\)
(C) \(\frac{20}{3}\)
(D) \(\frac{17}{4}\)

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 strands of hair are depicted in the image?
Choices:
(A) 2
(B) 3
(C) 4
(D) 1

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 specific humidity levels are depicted on the map?

Answer: $\boxed{13}$


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

Find x so that the quadrilateral is a parallelogram.
Choices:
(A) 4
(B) 8
(C) 16
(D) 24

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 necklaces at the jewelry store where Connor works have a bead count ranging from at least 50 to fewer than 90 beads?

Answer: $\boxed{14}$


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

What is the tag number on the top right corner of the image?

Answer: $\boxed{75238}$


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

Does this have the maximum area under the curve?
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 vehicle is this?
Choices:
(A) model
(B) ladder
(C) commercial
(D) passenger

Answer: $\boxed{C}$


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

如图,△ADB与△AEC相似,AB=3,DB=2,EC=6,则BC等于多少?
选项:
(A) 9
(B) 6
(C) 5
(D) 4

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 figures are shown on this page?

Answer: $\boxed{5}$


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

如图,在△ABC中,∠ABC=45°,AC=8cm,F是两条高的交点,则BF的长是()
选项:
(A) 4cm
(B) 6cm
(C) 8cm
(D) 9cm

Answer: $\boxed{C}$


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

How many objects are metallic?

Answer: $\boxed{1}$


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

How many ovals are there in each row?

Answer: $\boxed{10}$


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

What activity are they currently engaged in?
Choices:
(A) eating breakfast
(B) standing line
(C) cleaning up
(D) waiting buss

Answer: $\boxed{B}$


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

What is the value of y in the parallelogram NQRM?

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 this aluminum foil made of?
Choices:
(A) plastic
(B) metal

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 was the size of the liver tumor shown in the image, categorized as small, medium, large, or extra-large?
Choices:
(A)  small
(B)  medium
(C)  large
(D)  extra-large

Answer: $\boxed{C}$


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

Which city is the capital of Delaware?
Choices:
(A) Concord
(B) Trenton
(C) Georgetown
(D) Dover

Answer: $\boxed{D}$


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

How many objects are spheres?

Answer: $\boxed{1}$


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

In the given diagram, the radius of circle O, OC, is 5cm. Line L is perpendicular to OC, with the foot of the perpendicular denoted as H. Line L intersects circle O at points A and B, where AB measures 8cm. If L is translated downward along the line containing OC by how many centimeters will it be tangent to circle O?
(A) 1
(B) 2
(C) 3
(D) 4

Answer: $\boxed{B}$


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

How many shapes are there?
Choices:
(A) 3
(B) 5
(C) 4
(D) 2
(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>.

Hakim has $6.90. How much money will he have left if he buys a textbook and a mystery novel?

Answer: $\boxed{1.59}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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 for 1 kilogram of size 2 screws, 3 kilograms of size 3 screws, and 3 kilograms of size 6 screws?

Answer: $\boxed{25.15}$


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>.

From the above food chain diagram, deer is
Choices:
(A) producer
(B) decomposer
(C) secondary consumer
(D) primary consumer

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 death rate for Macao in 2002?

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>.

Manny looked at the dates of the digital photos on his computer to find out how many he had taken in the past 4 days. On which day did Manny take the fewest photographs?
Choices:
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday

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 are most of these items probably used on?
Choices:
(A) televisions
(B) cars
(C) light fixtures
(D) air conditioners

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>.

Do these magnets have an attractive or repulsive force between them?
Choices:
(A) attract
(B) repel

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 figure, if ∠AOB = 20°, ∠AOC = 90°, and points B, O, D are collinear, what is the measure of ∠COD in degrees?
Choices:
(A) 100°
(B) 105°
(C) 110°
(D) 115°

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>.

Use paper clips to measure the line. The line is about (_) paper clips 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>.

What is the value of x if the perimeter of triangle DEF is 20.4?

Answer: $\boxed{2.9833}$


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

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 name of the colony shown?
Choices:
(A) New Jersey
(B) Maryland
(C) North Carolina
(D) Alabama

Answer: $\boxed{C}$


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

In the given rhombus ABCD, if AB = 5 and AC = 8, what is the area of triangle ABD?

Answer: $\boxed{7.8}$


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

How many countries have a percentage of repeaters greater than 5% in the year 1971?

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>.

Given that ABCD is a parallelogram and AB is perpendicular to AC, what is the measure of angle BAC?

Answer: $\boxed{90}$


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

Which letter corresponds to the first quarter moon in the given choices: (A) c, (B) e, (C) d, or (D) b?

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 products are formed during alpha decay?
Choices:
(A) 3
(B) 4
(C) 2
(D) 1

Answer: $\boxed{C}$


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

What is the meaning of the arrows in the images provided?
Choices:
(A)  infiltrating tumour cells
(B)  normal bone cells
(C)  osteoblasts
(D)  reactive new bone cells

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>.

Among the states listed, which state is located the farthest east? (A) Pennsylvania (B) Georgia (C) Oklahoma (D) North Dakota

Answer: $\boxed{A}$


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

Find the value of the variable y in the figure, given that the value of x is 40

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 percentage value of Watch more for original movies on broadcast or cable TV networks?

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 squares tall is the letter on the right?

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 of the following statements about this is true?
Choices:
(A) 90 > a + b
(B) a + b = 90
(C) a + b > 90
(D) a > 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>.

What is the capital of North Carolina?
Choices:
(A) Tallahassee
(B) Raleigh
(C) Oklahoma City
(D) Charlotte

Answer: $\boxed{B}$


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

Find the perimeter of \(\triangle AEC\). Rounded to the nearest hundredth

Answer: $\boxed{52.02}$


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

In which state is the home team located?
Choices:
(A) Kansas
(B) Missouri
(C) Oklahoma
(D) Texas

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 does the image show the relationship between?
Choices:
(A)  Total gray matter volume and age
(B)  Total white matter volume and age
(C)  Total white matter lesion load and gray matter volume reduction
(D)  Total white matter lesion load and gray matter volume increase

Answer: $\boxed{C}$


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

Which letter represents the Trough?
Choices:
(A) E
(B) L
(C) Y
(D) N

Answer: $\boxed{D}$


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

In which location are these animals most likely to be found in their natural habitat?
Choices:
(A) Russia
(B) New Brunswick
(C) New York
(D) Africa

Answer: $\boxed{D}$


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

What can be seen in the preoperative MRI scan?
Choices:
(A)  Left sacroiliac joint effusion with edema.
(B)  Right sacroiliac joint effusion with edema.
(C)  Lumbar spine herniation.
(D)  Head trauma.

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 which quadrant is the lipped liner being trialed?
Choices:
(A) Anterosuperior quadrant
(B) Anteroinferior quadrant
(C) Posterosuperior quadrant
(D) Posteroinferior quadrant

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 number is the person who has the ball?

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 units sold between the item 'ranch' in the league store and the item 'lesson' in the week store?

Answer: $\boxed{2}$


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

如图，在△ABC中，∠A＝64°，∠ABC与∠ACD的平分线交于一点，得∠A1，∠A1BC与∠A1CD的平分线相交于另一点，得∠A2，…，∠A3BC与∠A3CD的平分线相交于某点，得∠A4，则∠A4的度数为（）
Choices:
(A) 5°
(B) 4°
(C) 8°
(D) 16°

Answer: $\boxed{B}$


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

What is the difference between the total number of tiny vehicles (cars, buses, and bikes) and the total number of tiny planes?

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 year was the record time the same as the previous year?

Answer: $\boxed{2019}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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 group doing at the beach?
Choices:
(A) wedding
(B) clam bake
(C) bon fire
(D) blanket bingo

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 objects are cubes?

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 trees are there in the image?

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 figure, BE and CF are the heights of triangle ABC on sides AC and AB, M is the midpoint of BC, EF = 5, BC = 8. What is the perimeter of triangle EFM?
Choices:
(A) 21
(B) 18
(C) 15
(D) 13

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>.

Zachary has $92.50. Does he have enough to buy a figure skating ticket and a comedy show ticket?
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>.

In how many years did the percentage for "Warming mostly because of human activity" stay the same as the previous year?

Answer: $\boxed{2}$


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

如图，在⊙O中，∠ACB＝67°，点P在劣弧AB上，∠AOP＝42°，则∠BOP的度数为（）
Choices:
(A) 25°
(B) 90°
(C) 92°
(D) 109°

Answer: $\boxed{C}$


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

In the figure, triangle ABC is inscribed in circle O, AB=BC, ∠ABC=120°, AD is the diameter of circle O, AD=10. What is the length of 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>.

In the diagram, when Xiaofang is hitting a tennis ball, in order for the ball to pass over the net (which is 0.8 meters high) and land in the opponent's area 5 meters away from the net, if her hitting height is 2.4 meters, where should she stand from the net?
Choices:
(A) 15 meters away
(B) 10 meters away
(C) 8 meters away
(D) 7.5 meters away

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>.

By how many grid squares has the coverage of the letter reduced after the transformation?

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 this the maximum?
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 games scored less than 50 points?

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>.

Determine the value of x.
Choices:
(A) \frac { 5 } { 2 } \sqrt { 2 }
(B) 5
(C) 5 \sqrt { 2 }
(D) 10

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 proportion of Dark Blue in the pie chart?

Answer: $\boxed{0.33}$


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

What are the people queueing up for?
Choices:
(A) entering zoo
(B) entering park
(C) feeding elephants
(D) riding elephants

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 numerical value displayed on the shorts?

Answer: $\boxed{20}$


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

如图,△ABC内接于一个圆,AC是这个圆的直径,∠BDC=40°(点D在圆上),则∠ACB=()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50°

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

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 measure of angle 1?

Answer: $\boxed{57}$


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

which label show cell a
Choices:
(A) d
(B) b
(C) c
(D) a

Answer: $\boxed{B}$


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

Which of the following would be an unusual sight on a motorcycle?
(A) children driving
(B) an umbrella
(C) a dog
(D) two sidecars

Answer: $\boxed{B}$


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

What is the range of the numbers in the comparison of cereal purchases?

Answer: $\boxed{9}$


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

What is the accuracy of the 'stem' dataset for the 'part' algorithm?

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,AB是⊙O的直径,∠C=38°,则∠AOD等于()
Choices:
(A) 100°
(B) 102°
(C) 104°
(D) 10°

Answer: $\boxed{C}$


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

If the pattern continues, what would be the y value when x is 19?

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 the angle of incidence in the diagram increases, what will be the effect on the angle of reflection?
Choices:
(A) angle of reflection also increases
(B) not enough information
(C) angle of reflection decreases
(D) no change in angle of reflection

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, CD is the diameter of circle O. Points A and B lie on circle O, and line AB intersects CD at point E. If ∠BAO = 30°, AO is parallel to BC, what is the measure of angle AOD in degrees?
Choices:
(A) 120°
(B) 100°
(C) 170°
(D) 150°

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 average number of units sold for the item "time" across all stores?

Answer: $\boxed{4.5}$


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>.

By how much is Dim Gray greater than Chartreuse?

Answer: $\boxed{10}$


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

What is the location of the enhancing mass seen in the MRI?
Choices:
(A)  Left frontal lobe
(B)  Right frontal lobe
(C)  Left lateral ventricle
(D)  Right lateral ventricle

Answer: $\boxed{B}$


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

What is the height of the flower in terms of the number of cubes?

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 range of scores achieved by the team?

Answer: $\boxed{49}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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, it is known that AB is parallel to CD. The line MN intersects AB and CD at points M and N respectively, with NG bisecting angle MND. If angle 1 is 70°, what is the degree measure of angle 2?
Choices:
(A) 10°
(B) 15°
(C) 20°
(D) 35°

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 much money did Duncan receive on July 5?

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>.

一只因损坏而倾斜的椅子,从背后看到的形状如图所示,其中两组对边的平行关系没有发生变化．若∠1=76°,则∠2的度数是()
Choices:
(A) 76°
(B) 86°
(C) 104°
(D) 114°

Answer: $\boxed{C}$


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

如图，已知AB＝AC，AB＝10，BC＝6，以A，B两点为圆心，大于0.5×AB的长为半径画弧，两弧相交于点M、N，直线MN与AC相交于点D，则△BDC的周长为多少？
Choices:
(A) 16
(B) 20
(C) 22
(D) 26

Answer: $\boxed{A}$


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

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

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 Orange Red the color with the highest value?
Choices:
(A) no
(B) yes

Answer: $\boxed{A}$


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

What is the number of individuals currently wearing gloves?

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>.

Where in the left breast is the lesion located?
Choices:
(A) Upper outer quadrant
(B) Lower middle quadrant
(C) Upper middle quadrant
(D) Lower outer quadrant

Answer: $\boxed{C}$


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

The labeled item B in the diagram indicates:
Choices:
(A) fault line
(B) Cracks
(C) earthquake
(D) tectonic plates

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,∠BAC=110°,若MP和NQ分别垂直平分AB和AC,则∠PAQ的度数是()
Choices:
(A) 20°
(B) 60°
(C) 50°
(D) 40°

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 of the following variables was dependent in this experiment?
Choices:
(A) the type of bed rail
(B) the number of patients who acquired new infections

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 this diagram, where is the destination of ammonia indicated?
Choices:
(A) Nitrates in the soil
(B) Denitrifying bacteria
(C) Atmospheric fixation
(D) Industrial fixation

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 highest y-axis value for Medium Periwinkle?

Answer: $\boxed{50}$


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

How many loads does this container offer for laundry?

Answer: $\boxed{83}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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, triangle ABC is inscribed in circle O, CD is the diameter of circle O, and angle A is 35°. What is the degree measure of angle BCD?
Choices:
(A) 55°
(B) 65°
(C) 70°
(D) 75°

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 do images (A,D) represent in the caption?
Choices:
(A)  Intact fossil fragment
(B)  Micrographic images
(C)  Fossilized teeth
(D)  Fossilized bones

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 can be seen in the image?
Choices:
(A)  The whole plant
(B)  A flower bud
(C)  A stem node
(D)  A leaf surface

Answer: $\boxed{B}$


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

What is the average rate of change in the weight of the winning dog from 2015 to 2019?

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 value for the category labeled as "drink"?

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>.

What is the average value of Web Green on the y-axis label?

Answer: $\boxed{52}$


You are a helpful assistant good at solving math problems with step-by-step reasoning. You should first thinks about the reasoning process in the mind and then provides the user with the answer. Your answer must be in latex format and wrapped in $...$ with \boxed{answer}.The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, 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 average age at marriage in Denmark in 2010?

Answer: $\boxed{36.4}$


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>.

Remove all blue shapes. Remove all blue cylinders. How many shapes remain?

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 one more bucket is added to the image, how many buckets will there be in total?

Answer: $\boxed{4}$


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

What is the accuracy of the algorithm with the best performance?

Answer: $\boxed{8}$


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

What is the probability of selecting a black marble without looking?
Choices:
(A) probable
(B) certain
(C) unlikely
(D) impossible

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>.

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

Answer: $\boxed{B}$