system stringclasses 1
value | conversations listlengths 2 2 | problem stringlengths 67 28.8k ⌀ | reasoning stringlengths 1.08k 118k ⌀ | deepseek_solution stringlengths 4 15.6k ⌀ | id stringclasses 230
values | ground_truth_solution stringclasses 177
values | source stringclasses 1
value | code null | correct bool 1
class | judge_reasoning stringclasses 230
values | __original_row_idx int64 6 2.26k ⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|
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 cone has a volume of $12288\\pi$ cubic inches and the vertex angle of the vertical cross section is 60 degrees. What is the height of the cone? Express your answer as a decimal to the nearest tenth. [asy]\n\nimport markers;\nsize(150... | null | null | null | null | null | null | null | null | null | null |
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{}. Find the projection of the vector $\\bar{a}=3 \\bar{i}+4 \\bar{j}-\\bar{k}$ in the direction of the vector $\\bar{b}=\\bar{i}+\\bar{j}$."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to find t... | null | null | null | null | null | null | null | null | null | null |
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{}. Let \\( P \\in \\mathbb{R}[X] \\) be a monic polynomial of degree 2020 such that \\( P(n) = n \\) for all \\( n \\in \\{0, 1, \\ldots, 2019\\} \\). Calculate \\( P(2020) \\)."
},
{
"from": "assistant",
"value": "<|begin_of_... | null | null | null | null | null | null | null | null | null | null |
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{}. Find all subsequences \\( \\{a_{1}, a_{2}, \\cdots, a_{n}\\} \\) of the sequence \\(\\{1, 2, \\cdots, n\\}\\) that satisfy the property \\( i + 1 \\mid 2(a_{1} + a_{2} + \\cdots + a_{j}) \\) for \\(1 \\leq i \\leq n\\)."
},
{
"... | null | null | null | null | null | null | null | null | null | null |
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{}. During a trip, person A first drives 50 miles on the highway and then 10 miles on the coastal road. The speed at which person A drives on the highway is 3 times the speed on the coastal road. If person A spent 30 minutes driving on the... | null | null | null | null | null | null | null | null | null | null |
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. Return the function body without invoking it at the final solution.You are given two images img1 and img2 both of size n x n, represented as binary, square matrices of the same size. (A binary matrix has only... | null | null | null | null | null | null | null | null | null | null |
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{}. Given an acute triangle \\(ABC\\). The altitude \\(AA_1\\) is extended through vertex \\(A\\) by a segment \\(AA_2 = BC\\). The altitude \\(CC_1\\) is extended through vertex \\(C\\) by a segment \\(CC_2 = AB\\). Find the angles of tri... | null | null | null | null | null | null | null | null | null | null |
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.Read problems statements in [Russian] and [Bengali].\n\nThere's a zebra crossing appearing in the mi... | null | null | null | null | null | null | null | null | null | null |
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{}. Given the function\n$$\ny(x) = (\\sqrt{1+x} + \\sqrt{1-x} + 2) \\left(\\sqrt{1-x^2} + 1 \\right),\n$$\n\nwhere \\(x \\in [0,1]\\). Determine the minimum value of \\(y(x)\\)."
},
{
"from": "assistant",
"value": "<|begin_of_t... | null | null | null | null | null | null | null | null | null | null |
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{}. Chris's pet tiger travels by jumping north and east. Chris wants to ride his tiger from Fine Hall to McCosh, which is $3$ jumps east and $10$ jumps north. However, Chris wants to avoid the horde of PUMaC competitors eating lunch at... | null | null | null | null | null | null | null | null | null | null |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 36