system stringclasses 1
value | conversations listlengths 2 2 | messages listlengths 2 2 | problem stringlengths 60 5.92k |
|---|---|---|---|
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84$, and the afternoon class's mean score is $70$. The ratio of the number of students in the morning class to the number of st... | [
{
"content": "Return your final response within \\boxed{}. Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84$, and the afternoon class's mean score is $70$. The ratio of the number of students in the morning class to the number of students in the afte... | Return your final response within \boxed{}. Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84$, and the afternoon class's mean score is $70$. The ratio of the number of students in the morning class to the number of students in the afternoon class is $\frac{3... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Sevenkplus has a rooted tree with $N$ vertices. The vertices are labeled from $1$ to $N$. $1$ is the... | [
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Sevenkplus has a rooted tree with $N$ vertices. The vertices are labeled from $1$ to $N$. $1$ is the root of the tree.... | Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Sevenkplus has a rooted tree with $N$ vertices. The vertices are labeled from $1$ to $N$. $1$ is the root of the tree. Each vertex $v$ has a... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A box contains a collection of triangular and square tiles. There are $25$ tiles in the box, containing $84$ edges total. How many square tiles are there in the box?\n$\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 5\\qquad\\textbf{(C)}\\ 7\\... | [
{
"content": "Return your final response within \\boxed{}. A box contains a collection of triangular and square tiles. There are $25$ tiles in the box, containing $84$ edges total. How many square tiles are there in the box?\n$\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 5\\qquad\\textbf{(C)}\\ 7\\qquad\\textbf{(D)}... | Return your final response within \boxed{}. A box contains a collection of triangular and square tiles. There are $25$ tiles in the box, containing $84$ edges total. How many square tiles are there in the box?
$\textbf{(A)}\ 3\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 7\qquad\textbf{(D)}\ 9\qquad\textbf{(E)}\ 11$ |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a set of $2n+1$ integer points on a Cartesian plane. Points are numbered from $0$ to $... | [
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a set of $2n+1$ integer points on a Cartesian plane. Points are numbered from $0$ to $2n$ inclusive. Let... | Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a set of $2n+1$ integer points on a Cartesian plane. Points are numbered from $0$ to $2n$ inclusive. Let $P_i$ be the $i$-th p... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Digits $4$ and $7$ are lucky, while all others are unlucky. An integer is lucky if it contains only ... | [
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Digits $4$ and $7$ are lucky, while all others are unlucky. An integer is lucky if it contains only lucky digits in de... | Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Digits $4$ and $7$ are lucky, while all others are unlucky. An integer is lucky if it contains only lucky digits in decimal notation. We wou... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters?"
},
{
"from": "assistant",
"value": "<|... | [
{
"content": "Return your final response within \\boxed{}. Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters?",
"role": "user"
},
{
"content": "<|begin_of_thought|>\n\... | Return your final response within \boxed{}. Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters? |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. How many positive multiples of 5 that are less than 100 have a units digit of 5?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out how many positive multiples of 5 that are less than... | [
{
"content": "Return your final response within \\boxed{}. How many positive multiples of 5 that are less than 100 have a units digit of 5?",
"role": "user"
},
{
"content": "<|begin_of_thought|>\n\nOkay, so I need to figure out how many positive multiples of 5 that are less than 100 have a units dig... | Return your final response within \boxed{}. How many positive multiples of 5 that are less than 100 have a units digit of 5? |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Joe is studying a bacteria population. There are 20 bacteria present at 3:00 p.m. and the population doubles every 3 minutes. Assuming none of the bacteria die, how many bacteria are present at 3:15 p.m. the same day?"
},
{
"... | [
{
"content": "Return your final response within \\boxed{}. Joe is studying a bacteria population. There are 20 bacteria present at 3:00 p.m. and the population doubles every 3 minutes. Assuming none of the bacteria die, how many bacteria are present at 3:15 p.m. the same day?",
"role": "user"
},
{
... | Return your final response within \boxed{}. Joe is studying a bacteria population. There are 20 bacteria present at 3:00 p.m. and the population doubles every 3 minutes. Assuming none of the bacteria die, how many bacteria are present at 3:15 p.m. the same day? |
"Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Return your final response within \\boxed{}. Points $A$ and $C$ lie on a ci(...TRUNCATED) | [{"content":"Return your final response within \\boxed{}. Points $A$ and $C$ lie on a circle centere(...TRUNCATED) | "Return your final response within \\boxed{}. Points $A$ and $C$ lie on a circle centered at $O$, ea(...TRUNCATED) |
"Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Return your final response within \\boxed{}. A rectangular field is half as(...TRUNCATED) | [{"content":"Return your final response within \\boxed{}. A rectangular field is half as wide as it (...TRUNCATED) | "Return your final response within \\boxed{}. A rectangular field is half as wide as it is long, and(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 2