messages listlengths 2 2 | custom_id stringlengths 11 16 | total_tokens int64 44 59.5k | completion_tokens int64 2 32.8k | model stringclasses 1
value | finish_reason stringclasses 2
values | is_complete bool 2
classes | style_features stringlengths 1.17k 1.5k |
|---|---|---|---|---|---|---|---|
[
{
"content": "Find the value of $x$ such that $3^x \\cdot 5^4 \\cdot 7^2$ is equal to the product of all the prime factors of $10!$.",
"role": "user"
},
{
"content": "<think>We are given: \"Find the value of $x$ such that $3^x \\cdot 5^4 \\cdot 7^2$ is equal to the product of all the prime factors o... | request-191-1 | 14,649 | 14,605 | deepseek-ai/DeepSeek-V3.2 | stop | true | {"n_chars": 43413, "n_tokens": 8370, "n_words": 6368, "n_lines": 158, "n_sents": 657, "avg_word_len": 4.215766331658291, "avg_sent_len_tokens": 12.73972602739726, "avg_line_len_tokens": 52.9746835443038, "type_token_ratio": 0.07192211055276382, "entropy_words": 4.681027910999886, "unique_word_ratio": 0.0719221105527638... |
[
{
"content": "Find the least common multiple of two numbers, $a$ and $b$, where $a$ is a multiple of 5 and $b$ is a multiple of 7, and their sum is equal to 300.",
"role": "user"
},
{
"content": "<think>We are given: \"Find the least common multiple of two numbers, $a$ and $b$, where $a$ is a multip... | request-191-2 | 8,992 | 8,942 | deepseek-ai/DeepSeek-V3.2 | stop | true | {"n_chars": 28542, "n_tokens": 5246, "n_words": 4849, "n_lines": 96, "n_sents": 445, "avg_word_len": 3.788409981439472, "avg_sent_len_tokens": 11.78876404494382, "avg_line_len_tokens": 54.645833333333336, "type_token_ratio": 0.08414106001237369, "entropy_words": 4.67258296654206, "unique_word_ratio": 0.0841410600123736... |
[
{
"content": "The cube root of the sum of the cubes of two consecutive positive integers is 37. What is the product of the integers?",
"role": "user"
},
{
"content": "<think>We are given: \"The cube root of the sum of the cubes of two consecutive positive integers is 37. What is the product of the i... | request-191-3 | 18,396 | 18,366 | deepseek-ai/DeepSeek-V3.2 | stop | true | {"n_chars": 55729, "n_tokens": 9614, "n_words": 8594, "n_lines": 194, "n_sents": 771, "avg_word_len": 3.9521759367000233, "avg_sent_len_tokens": 12.469520103761349, "avg_line_len_tokens": 49.55670103092783, "type_token_ratio": 0.06225273446590645, "entropy_words": 4.596856330035097, "unique_word_ratio": 0.0622527344659... |
[{"content":"Find the sum of the areas of the squares inscribed in the triangles formed by the diago(...TRUNCATED) | request-191-4 | 30,783 | 30,742 | deepseek-ai/DeepSeek-V3.2 | stop | true | "{\"n_chars\": 112818, \"n_tokens\": 20623, \"n_words\": 19522, \"n_lines\": 116, \"n_sents\": 1543,(...TRUNCATED) |
[{"content":"Let $ABC$ be a triangle in which $AB = AC$ and $\\angle BAC = 36^\\circ$. The circle wi(...TRUNCATED) | request-191-5 | 32,844 | 32,768 | deepseek-ai/DeepSeek-V3.2 | length | false | "{\"n_chars\": 116609, \"n_tokens\": 24324, \"n_words\": 22667, \"n_lines\": 194, \"n_sents\": 1655,(...TRUNCATED) |
[{"content":"Find the largest possible degree of a polynomial $f(x)$ with integer coefficients such (...TRUNCATED) | request-191-6 | 32,808 | 32,768 | deepseek-ai/DeepSeek-V3.2 | length | false | "{\"n_chars\": 114474, \"n_tokens\": 20174, \"n_words\": 20703, \"n_lines\": 70, \"n_sents\": 1504, (...TRUNCATED) |
[{"content":"Simplify \\[\\frac{1}{\\dfrac{1}{\\sqrt{2}+1} + \\dfrac{2}{\\sqrt{3}-1}}\\] using only (...TRUNCATED) | request-191-7 | 7,762 | 7,710 | deepseek-ai/DeepSeek-V3.2 | stop | true | "{\"n_chars\": 23879, \"n_tokens\": 4122, \"n_words\": 3489, \"n_lines\": 120, \"n_sents\": 277, \"a(...TRUNCATED) |
[{"content":"Let $f(x) = (x - a)^2 + (x - b)^2 + (x - c)^2$ and $g(x) = x^2 + px + q$. The graphs of(...TRUNCATED) | request-191-8 | 32,864 | 32,768 | deepseek-ai/DeepSeek-V3.2 | length | false | "{\"n_chars\": 112307, \"n_tokens\": 19058, \"n_words\": 20489, \"n_lines\": 431, \"n_sents\": 1474,(...TRUNCATED) |
[{"content":"Find the number of non-negative integer values of $x$ such that $\\sqrt[3]{x}+\\sqrt[3](...TRUNCATED) | request-191-9 | 20,001 | 19,965 | deepseek-ai/DeepSeek-V3.2 | stop | true | "{\"n_chars\": 61905, \"n_tokens\": 11926, \"n_words\": 10828, \"n_lines\": 79, \"n_sents\": 948, \"(...TRUNCATED) |
[{"content":"There is an equilateral triangle inside a square. The sides of the triangle are paralle(...TRUNCATED) | request-191-10 | 29,634 | 29,567 | deepseek-ai/DeepSeek-V3.2 | stop | true | "{\"n_chars\": 119762, \"n_tokens\": 22704, \"n_words\": 21262, \"n_lines\": 198, \"n_sents\": 1402,(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 33