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The dataset generation failed because of a cast error
Error code: DatasetGenerationCastError
Exception: DatasetGenerationCastError
Message: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 3 new columns ({'num_samples', 'ks', 'pass_at_ks'}) and 9 missing columns ({'stopped_early', 'num_correct', 'accuracy', 'per_question_bools', 'num_generations', 'question_idx', 'idx', 'generations_actually_run', 'sample'}).
This happened while the json dataset builder was generating data using
hf://datasets/adimnaku/qwen3_4b_acereason_full/summary.json (at revision 16c49ab9373b00baa72266495b0b1124f9e203ea)
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1831, in _prepare_split_single
writer.write_table(table)
File "/usr/local/lib/python3.12/site-packages/datasets/arrow_writer.py", line 714, in write_table
pa_table = table_cast(pa_table, self._schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2272, in table_cast
return cast_table_to_schema(table, schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2218, in cast_table_to_schema
raise CastError(
datasets.table.CastError: Couldn't cast
ks: list<item: int64>
child 0, item: int64
num_samples: int64
pass_at_ks: struct<1: double, 3: double, 5: double, 10: double>
child 0, 1: double
child 1, 3: double
child 2, 5: double
child 3, 10: double
to
{'idx': Value('int64'), 'question_idx': Value('int64'), 'sample': {'idx': Value('int64'), 'question_idx': Value('int64'), 'question': Value('string'), 'answer': Value('string'), 'environment_feedback_level': Value('string'), 'solution': Value('string')}, 'num_correct': Value('int64'), 'num_generations': Value('int64'), 'generations_actually_run': Value('int64'), 'stopped_early': Value('bool'), 'accuracy': Value('float64'), 'per_question_bools': List(Value('bool'))}
because column names don't match
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1339, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 972, in convert_to_parquet
builder.download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 894, in download_and_prepare
self._download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 970, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1702, in _prepare_split
for job_id, done, content in self._prepare_split_single(
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1833, in _prepare_split_single
raise DatasetGenerationCastError.from_cast_error(
datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 3 new columns ({'num_samples', 'ks', 'pass_at_ks'}) and 9 missing columns ({'stopped_early', 'num_correct', 'accuracy', 'per_question_bools', 'num_generations', 'question_idx', 'idx', 'generations_actually_run', 'sample'}).
This happened while the json dataset builder was generating data using
hf://datasets/adimnaku/qwen3_4b_acereason_full/summary.json (at revision 16c49ab9373b00baa72266495b0b1124f9e203ea)
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
idx int64 | question_idx int64 | sample dict | num_correct int64 | num_generations int64 | generations_actually_run int64 | stopped_early bool | accuracy float64 | per_question_bools list |
|---|---|---|---|---|---|---|---|---|
555 | 29,729 | {
"idx": 555,
"question_idx": 29729,
"question": "Given that $a$ is a real number, $i$ is the imaginary unit, and $\\frac{a+2i}{2+i}=i$, find the value of $a$. Express your answer as a single real number.",
"answer": "-1",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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302 | 31,639 | {
"idx": 302,
"question_idx": 31639,
"question": "In computer science, hexadecimal is a base-16 numeral system, which uses the digits 0-9 and the letters A-F for a total of 16 symbols. The correspondence between these symbols and decimal numbers is as follows: Hexadecimal: 0 1 2 3 4 5 6 7 8 9 A B C D E F, Decimal... | 1 | 64 | 1 | true | 0.015625 | [
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809 | 4,457 | {
"idx": 809,
"question_idx": 4457,
"question": "What is the remainder when $3012$ is divided by $97$?",
"answer": "5",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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693 | 275 | {
"idx": 693,
"question_idx": 275,
"question": "Convert the decimal number $256_{10}$ into its equivalent in base five.",
"answer": "2011_5",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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550 | 28,881 | {
"idx": 550,
"question_idx": 28881,
"question": "Given the function $f(x) = \\begin{cases} \\log_{2}{x}, & x > 0 \\\\ f(x+6), & x \\leqslant 0 \\end{cases}$, find the value of $f(-8)$. Express your answer as a single number.",
"answer": "2",
"environment_feedback_level": "full_solution",
"solution": "N/A"
... | 1 | 64 | 1 | true | 0.015625 | [
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707 | 1,494 | {
"idx": 707,
"question_idx": 1494,
"question": "Find the maximum value of the function \\( f(x) = 6 \\sin x + 8 \\cos x \\).",
"answer": "10",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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714 | 27,463 | {
"idx": 714,
"question_idx": 27463,
"question": "Given that $\\dfrac{\\overline{\\dot{Z}}}{1+i}=2+i$, calculate the complex number $z$. Express your answer in the form $a+bi$.",
"answer": "1-3i",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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229 | 28,985 | {
"idx": 229,
"question_idx": 28985,
"question": "Calculate the exact value of $i^{2016}$.",
"answer": "1",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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751 | 6,037 | {
"idx": 751,
"question_idx": 6037,
"question": "Evaluate: $81^2 - (x+9)^2$ where $x=45$.",
"answer": "3645",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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812 | 6,824 | {
"idx": 812,
"question_idx": 6824,
"question": "Simplify \\(\\frac{15x^2y^3}{9xy^2z}\\) with \\(x = 3\\), \\(y = 2\\), and \\(z = 5\\).",
"answer": "2",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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678 | 28,335 | {
"idx": 678,
"question_idx": 28335,
"question": "Given $a + \\\\frac{1}{a} = 7$ and $a > 0$, calculate the value of $a^{\\\\frac{1}{2}} + a^{-\\\\frac{1}{2}}$. Express your answer as a single number.",
"answer": "3",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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615 | 2,628 | {
"idx": 615,
"question_idx": 2628,
"question": "A $\\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$.\n\nHow many $4$-digit palindromes are there?",
"answer": "90",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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42 | 24,318 | {
"idx": 42,
"question_idx": 24318,
"question": "11. If $g$ is defined recursively by $g(1)=2$ and $g(n)=2^{g(n-1)}$ for $n \\geqslant 2$, what is $g(4)$ ?",
"answer": "65536",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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143 | 5,394 | {
"idx": 143,
"question_idx": 5394,
"question": "Given that Crystal runs due north for 1 mile, then due east for 2 miles, and then due south for 1 mile, determine the distance of the last portion of her run that takes her on a straight line back to where she started in miles.",
"answer": "2",
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49 | 15,579 | {
"idx": 49,
"question_idx": 15579,
"question": "Consider a square where each side measures 1 unit. At each vertex of the square, a quarter circle is drawn outward such that each side of the square serves as the radius for two adjoining quarter circles. Calculate the total perimeter formed by these quarter circle... | 1 | 64 | 1 | true | 0.015625 | [
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872 | 4,336 | {
"idx": 872,
"question_idx": 4336,
"question": "What is $\\frac{1}{(-5^{2})^{4}}\\cdot(-5)^{9}$?",
"answer": "-5",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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352 | 4,751 | {
"idx": 352,
"question_idx": 4751,
"question": "Jamie's parent is very supportive of their aviation aspirations and encourages them to explore computational aerodynamics. To help Jamie understand the basics, they decide to work on a simple project together. They want to calculate the lift generated by a small mo... | 1 | 64 | 1 | true | 0.015625 | [
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635 | 28,300 | {
"idx": 635,
"question_idx": 28300,
"question": "Let the complex number z satisfy iz = 1, where i is the imaginary unit. Find the value of z. Express your answer as a complex number in the form a + bi.",
"answer": "-i",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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248 | 28,253 | {
"idx": 248,
"question_idx": 28253,
"question": "In the sequence {a_n}, a_1 = 1, a_n = 1 + (-1)^n / a_{n-1} for n >= 2. Calculate the value of a_5. Express your answer as a fraction in simplest form.",
"answer": "2/3",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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810 | 29,699 | {
"idx": 810,
"question_idx": 29699,
"question": "Four different products are arranged in a row for an exhibition, with the requirement that products A and B must have at least one other product between them. Calculate the number of different arrangement methods that satisfy this condition. Express your answer as... | 1 | 64 | 1 | true | 0.015625 | [
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910 | 1,546 | {
"idx": 910,
"question_idx": 1546,
"question": "The chart illustrates the number of home runs hit by the top players in a month. What is the average number of home runs hit by these players?\n\n```\nNumber of Home Runs | 5 | 6 | 7 | 9 | 11 |\n-----------------------|---|---|---|---|----|\nNumber of Players ... | 1 | 64 | 1 | true | 0.015625 | [
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487 | 29,033 | {
"idx": 487,
"question_idx": 29033,
"question": "Find the coefficient of $x$ in the expansion of $(1+ \\sqrt{x})^6(1+ \\sqrt{x})^4$. Express your answer as a numerical value.",
"answer": "45",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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211 | 27,974 | {
"idx": 211,
"question_idx": 27974,
"question": "Given a batch of electronic products, the size of these products follows a normal distribution N(1, 4). If one product is randomly selected, calculate the probability that its size falls within the interval (3, 5). Express your answer as a decimal value between 0 ... | 1 | 64 | 1 | true | 0.015625 | [
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876 | 6,314 | {
"idx": 876,
"question_idx": 6314,
"question": "Alex is an accounting major known for their excellent organization and time management skills. Every week, Alex spends exactly 15 hours on accounting assignments, 10 hours working on group projects, and 5 hours reviewing class notes. To better manage their time, Al... | 1 | 64 | 1 | true | 0.015625 | [
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2 | 27,388 | {
"idx": 2,
"question_idx": 27388,
"question": "A seven-layered tower is adorned with lights, with the number of lights doubling on each successive layer, totaling 381 lights. Calculate the number of lights on the top layer of the tower. Express your answer as a whole number.",
"answer": "3",
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73 | 31,966 | {
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"question": "There are five gift boxes numbered 1, 2, 3, 4, and 5. Four different gifts need to be placed in these boxes, with one box remaining empty. Calculate the total number of different ways to arrange the gifts. Express your answer as a single numerical value.",
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541 | 48,040 | {
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"question": "\\int_{-9}^{9} \\frac{\\cos(x^2)}{17x^3} dx",
"answer": "0",
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784 | 31,448 | {
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"question": "Two men and two women are lined up in a row. Find the total number of ways they can be arranged alternately by gender. Express your answer as a whole number.",
"answer": "8",
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"solution": "N/A"
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145 | 28,890 | {
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"question": "Given a group of 6 students, from which we must select 3 to serve as representatives for mathematics, physics, and chemistry, respectively, if at least one of students A or B must be selected, calculate the total number of different methods of selection. Express y... | 1 | 64 | 1 | true | 0.015625 | [
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292 | 23,305 | {
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"question": "If $F(n+1)=\\frac{2F(n)+1}{2}$ for $n=1,2,\\cdots$ and $F(1)=2$, then $F(101)$ equals:",
"answer": "52",
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668 | 8,011 | {
"idx": 668,
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"question": "How many even integers are there between \\( \\frac{12}{3} \\) and \\( \\frac{50}{2} \\)?",
"answer": "10",
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"solution": "N/A"
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233 | 32,131 | {
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"question": "Find the conjugate of the complex number $\\frac{2+i}{1-2i}$. Express your answer as a complex number in simplest form.",
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"solution": "N/A"
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522 | 11,935 | {
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"question": "Two dice with faces numbered 1 through 6 are placed side by side with three of their twelve total faces visible. The visible faces show numbers 2, 3, and 5. What is the total number of dots NOT visible in this arrangement?",
"answer": "32",
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921 | 44,054 | {
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"question": "78. Calculate: $954 \\times 954-504 \\times 504-450 \\times 450=$",
"answer": "453600",
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"solution": "N/A"
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40 | 24,609 | {
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"question": "1. In the set $A=\\{1,2, \\cdots, 2011\\}$, the number of elements whose last digit is 1 is $\\qquad$",
"answer": "202",
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"solution": "N/A"
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254 | 28,134 | {
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"question": "Given the complex number $z= \\\\frac{i-5}{1+i}$, where $i$ is the imaginary unit, find the imaginary part of its conjugate $\\\\bar{z}$. Express your answer as a single numerical value.",
"answer": "-3",
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770 | 32,934 | {
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"question": "Given a function F(n) where F(1) = F(2) = F(3) = 1, and F(n+1) = (F(n) * F(n-1) + 1) / F(n-2), calculate the value of F(6). Express your answer as a single integer.",
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10 | 4,699 | {
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"question": "Suppose \\(43 \\cdot 67 \\cdot 92 \\equiv m \\pmod{25}\\), where \\(0 \\leq m < 25\\).\n\nWhat is the value of \\(m\\)?",
"answer": "2",
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297 | 218 | {
"idx": 297,
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"question": "A retailer buys a product for $30, less a discount of 15%. He aims to sell the product at a profit of 40% based on his cost after providing a 25% discount on the marked price. What should be the marked price of the product in dollars?",
"answer": "47.60",
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463 | 33,590 | {
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"question": "Given that the function f(x) is an even function defined on R and is increasing on [0,+∞), find the range of the real number a such that f(a) ≤ f(2). Express your answer as an interval.",
"answer": "[-2,2]",
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241 | 319 | {
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471 | 11,192 | {
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"question": "Given that Brianna is planning to use some of her earnings from a weekend job to purchase several music albums at equal prices, if she spends one quarter of her money to buy one quarter of the albums, determine the fraction of her money that she will have left aft... | 1 | 64 | 1 | true | 0.015625 | [
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334 | 3,831 | {
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"question": "Given that the list contains the elements 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, determine the number that should be removed so that the average of the remaining numbers is $8.5$.",
"answer": "2",
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580 | 6,454 | {
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"question": "Joe had walked one-third of the way from home to school when he realized he was very late. He ran the rest of the way to school. He ran 4 times as fast as he walked. Joe took 9 minutes to walk the one-third distance to school. Calculate the total time it took Joe t... | 1 | 64 | 1 | true | 0.015625 | [
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502 | 29,588 | {
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"question": "Given the ellipse $\\frac {x^{2}}{25}+ \\frac {y^{2}}{9}=1$, the distance from a point P to one of the foci is 5. Calculate the distance from P to the other focus. Express your answer as a single number.",
"answer": "5",
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697 | 4,710 | {
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"question": "In Figure 1, \\(ABCD\\) is a parallelogram with \\(BA = 3 \\text{ cm}\\), \\(BC = 4 \\text{ cm}\\), and \\(BD = \\sqrt{37} \\text{ cm}\\). If \\(AC = h \\text{ cm}\\), find the value of \\(h\\).",
"answer": "\\sqrt{13}",
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535 | 24,962 | {
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"question": "12. If $x^{5}+3 x^{3}+1=a_{0}+a_{1}(x-1)+$ $a_{2}(x-1)^{2}+\\cdots+a_{5}(x-1)^{5}$ holds for any real number $x$, then the value of $a_{3}$ is $\\qquad$ (answer with a number).",
"answer": "13",
"environment_feedback_level": "full_solution",
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933 | 11,588 | {
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"question": "Let \\( Q(x) = 0 \\) be the polynomial equation of least possible degree, with rational coefficients, having \\( \\sqrt[3]{8} + \\sqrt[3]{64} \\) as a root. Compute the product of all of the roots of \\( Q(x) = 0 \\).",
"answer": "6",
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797 | 29,038 | {
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"question_idx": 29038,
"question": "Given the function $f(\\lg x)$ whose domain is $[0.1,100]$, find the domain of the function $f\\left( \\frac{x}{2} \\right)$. Express your answer as an interval.",
"answer": "[-2,4]",
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964 | 4,764 | {
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"question": "Find the value of the expression \\(\\frac{a^{2}}{b c}+\\frac{b^{2}}{a c}+\\frac{c^{2}}{a b}\\) if \\(a + b + c = 0\\).",
"answer": "3",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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247 | 6,227 | {
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"question_idx": 6227,
"question": "Find the minimum value of\n\\[4x + \\frac{1}{x^4}\\]for $x > 0.$",
"answer": "5",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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122 | 31,016 | {
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"question": "Given an arithmetic sequence $\\{a_{n}\\}$, where $a_{4}+a_{8}=8$, calculate the sum of the first $11$ terms $S_{11}$. Express your answer as a single integer.",
"answer": "44",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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83 | 13,581 | {
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"question": "Calculate the limit of the function:\n\n\\[ \\lim_{x \\to 0} \\frac{e^{3x} - e^{2x}}{\\sin 3x - \\tan 2x} \\]",
"answer": "1",
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830 | 29,665 | {
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934 | 16,821 | {
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"question": "Convert $C2A_{16}$ to base 4.",
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573 | 32,270 | {
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"question": "Find the constant term in the expansion of \\((2x - \\frac{1}{x})^{4}\\). Express your answer as a single number.",
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41 | 5,624 | {
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591 | 48,688 | {
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"question": "Let $a, b, c$ be the three roots of $p(x)=x^{3}+x^{2}-333 x-1001$. Find $a^{3}+b^{3}+c^{3}$.",
"answer": "2003",
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72 | 31,908 | {
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861 | 33,508 | {
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"question": "Given that $|\\vec{a}|=1$, $|\\vec{b}|=1$, and the angle between $\\vec{a}$ and $\\vec{b}$ is 60°, calculate the value of $|2\\vec{a} - \\vec{b}|$. Express your answer using any necessary mathematical notation.",
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829 | 14,404 | {
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"question": "A musicologist is studying the significance of 20th-century compositions. While analyzing various compositions, they decide to focus on two composers with differing styles: Composer A and Composer B. The musicologist plans to listen to 5 compositions from Composer... | 1 | 64 | 1 | true | 0.015625 | [
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978 | 12,474 | {
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"question": "Evaluate $ (8^6 \\cdot 16^{-3}) \\div 2^{-12} $.",
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104 | 618 | {
"idx": 104,
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"question": "How many license plates consist of 2 letters followed by 2 digits, if one of the digits must be odd and the other must be even?",
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939 | 5,607 | {
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"question": "What is the modulo $7$ remainder of the sum $1+2+3+4+\\ldots+140?$",
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382 | 30,655 | {
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"question": "Given the function f(x) defined as:\n\\[ f(x) = \\begin{cases} x^{2}-131, & x>10 \\\\ f(f(x+2)), & x\\leq 10 \\end{cases} \\]\nCalculate the value of f(8) using this definition.",
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199 | 28,709 | {
"idx": 199,
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"question": "In a geometric sequence $\\{a_{n}\\}$, if $a_{3}a_{9}=4a_{4}$, find the value of $a_{8}$. Express your answer as a single numerical value.",
"answer": "4",
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773 | 48,635 | {
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"question": "Given that $a, b, c$ are positive real numbers and $\\log _{a} b+\\log _{b} c+\\log _{c} a=0$, find the value of $\\left(\\log _{a} b\\right)^{3}+\\left(\\log _{b} c\\right)^{3}+\\left(\\log _{c} a\\right)^{3}$.",
"answer": "3",
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290 | 23,325 | {
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"question": "As Emily is riding her bicycle on a long straight road, she spots Emerson skating in the same direction $1/2$ mile in front of her. After she passes him, she can see him in her rear mirror until he is $1/2$ mile behind her. Emily rides at a constant rate of $12$ m... | 1 | 64 | 1 | true | 0.015625 | [
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833 | 10,743 | {
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"question": "How many three-digit whole numbers have at least one 7 or at least one 9 as digits?",
"answer": "452",
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752 | 5,990 | {
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"question": "If $q(x) = x^4 - 4x + 5$, find the coefficient of the $x^3$ term when $(q(x))^2$ is expanded.",
"answer": "0",
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78 | 28,082 | {
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"question": "A beam of light departs from point $P(1,1,1)$, is reflected by the $xOy$ plane, and then reaches point $Q(3,3,6)$ where it is absorbed. Calculate the distance the light travels. Express your answer as a square root if necessary.",
"answer": "\\sqrt{57}",
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744 | 77 | {
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"question": "If a number nine times as large as $x$ is decreased by three, then one third of the result equals $\\frac{1}{3}\\left(9x-3\\right)$.",
"answer": "3x - 1",
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216 | 28,157 | {
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"question_idx": 28157,
"question": "Given the operation $1 \\\\& 1 = 2$, $m \\\\& n = k$, $m \\\\& (n + 1) = k + 3$ ($m, n, k \\\\in \\\\mathbb{N}^*$), calculate the output of $1 \\\\& 2004$. Express your answer as a single integer.",
"answer": "6011",
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844 | 34,027 | {
"idx": 844,
"question_idx": 34027,
"question": "There are 5 people standing in a row. Calculate the number of arrangements where there is exactly 1 person between A and B. Express your answer as a whole number.",
"answer": "36",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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709 | 24,687 | {
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"question": "1. Let $A$ and $B$ be two non-empty finite sets, and the universal set $U$\n$$\n\\begin{aligned}\n= & A \\cup B, \\text{ and } |U|=m. \\text{ If } \\\\\n& \\left|\\left(\\complement_{U} A\\right) \\cup\\left(\\complement_{U} B\\right)\\right|=n,\n\\end{aligned}\n$... | 1 | 64 | 1 | true | 0.015625 | [
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181 | 6,163 | {
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"question": "The population of Cyros doubles every 30 years and is currently 500, with each inhabitant requiring 2 acres. Given the island can support 32000 acres, calculate the number of years from 2020 until the population meets or exceeds the island's capacity.",
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17 | 29,411 | {
"idx": 17,
"question_idx": 29411,
"question": "Among all 4-digit numbers, how many numbers can be divided by 2, 3, 5, 7, and 11 simultaneously? Express your answer as a whole number.",
"answer": "4",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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300 | 44,576 | {
"idx": 300,
"question_idx": 44576,
"question": "Example. Calculate the length of the arc of the curve given by the equation in polar coordinates\n\n$$\n\\varrho=6 \\sin \\varphi, \\quad 0 \\leq \\varphi \\leq \\pi / 3\n$$",
"answer": "2\\pi",
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870 | 29,807 | {
"idx": 870,
"question_idx": 29807,
"question": "Given the quadratic equation x^2 + 2bx + b = 1, where alpha and beta are the roots, find the smallest possible value of (alpha - beta)^2. Express your answer as a single numerical value.",
"answer": "3",
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519 | 33,201 | {
"idx": 519,
"question_idx": 33201,
"question": "Given that the sequence {a_n} is a geometric sequence, and a_3 = -4, a_7 = -16, find the value of a_5. Express your answer as a single numerical value.",
"answer": "-8",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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909 | 48,898 | {
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"question_idx": 48898,
"question": "Let $N=2^{(2^{2})}$ and $x$ be a real number such that $N^{(N^{N})}=2^{(2^{x})}$. Find $x$.",
"answer": "66",
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582 | 27,414 | {
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"question": "Solve for $z$ in the equation $\\frac {1+i}{z-i}=i$. Express your answer as a complex number in the form $a+bi$.",
"answer": "1",
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926 | 32,453 | {
"idx": 926,
"question_idx": 32453,
"question": "A certain county-level middle school sent 3 mathematics teachers and 6 Chinese language teachers to 3 township-level middle schools to conduct a support teaching activity. Each township-level middle school was assigned 1 mathematics teacher and 2 Chinese language ... | 1 | 64 | 1 | true | 0.015625 | [
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328 | 27,953 | {
"idx": 328,
"question_idx": 27953,
"question": "Equilateral triangle ABC has sides of length 4. The midpoint of BC is D, and the midpoint of AD is E. Calculate the value of EC^2. Express your answer as a single numerical value.",
"answer": "7",
"environment_feedback_level": "full_solution",
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121 | 31,827 | {
"idx": 121,
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"question": "Given a function $y=f(x)$ defined on the interval $[-1,1]$ with a range of $[-2,0]$, find the range of the function $y=f(\\cos 2x)$. Express your answer as an interval.",
"answer": "[-2,0]",
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"solution": "N/A"
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768 | 14,257 | {
"idx": 768,
"question_idx": 14257,
"question": "An artist who creates paintings to convey messages of peace and unity decides to hold an art exhibition. They plan to display 5 series of paintings, with each series containing 4 paintings. Each painting will be accompanied by a description that takes 10 minutes f... | 1 | 64 | 1 | true | 0.015625 | [
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55 | 24,210 | {
"idx": 55,
"question_idx": 24210,
"question": "2. A cube is painted red on all its faces, then cut into $n^{3}(n>2)$ identical smaller cubes. If the number of smaller cubes with only one face painted red is the same as the number of smaller cubes with no faces painted red, then $n=$ $\\qquad$ .",
"answer": "8... | 1 | 64 | 1 | true | 0.015625 | [
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399 | 46,730 | {
"idx": 399,
"question_idx": 46730,
"question": "A point is chosen randomly with uniform distribution in the interior of a circle of radius\n1. What is its expected distance from the center of the circle?",
"answer": "2/3",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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755 | 5,043 | {
"idx": 755,
"question_idx": 5043,
"question": "What is the largest divisor of 540 that is less than 80 and also a factor of 180?",
"answer": "60",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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268 | 27,665 | {
"idx": 268,
"question_idx": 27665,
"question": "In $\\triangle ABC$, given $B=120^{\\circ}$, $AC=\\sqrt{19}$, $AB=2$, calculate the length of side $BC$. Express your answer as a single numerical value.",
"answer": "3",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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680 | 29,498 | {
"idx": 680,
"question_idx": 29498,
"question": "Given the sets $M=\\{-1, 0, 1\\}$ and $N=\\{y|y=1+\\sin\\left(\\frac{\\pi x}{2}\\right), x\\in M\\}$, find the number of proper subsets of the set $M\\cap N$. Express your answer as a single integer.",
"answer": "3",
"environment_feedback_level": "full_solutio... | 1 | 64 | 1 | true | 0.015625 | [
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282 | 23,285 | {
"idx": 282,
"question_idx": 23285,
"question": "The number $10!$ ($10$ is written in base $10$), when written in the base $12$ system, ends with exactly $k$ zeros. The value of $k$ is",
"answer": "4",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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510 | 16,609 | {
"idx": 510,
"question_idx": 16609,
"question": "A laser is placed at the point $(2,3)$. The laser beam travels in a straight line. Larry wants the beam to hit and bounce off the $y$-axis, then hit and bounce off the $x$-axis, finally hitting the point $(6,3)$. Calculate the total distance the beam will travel a... | 1 | 64 | 1 | true | 0.015625 | [
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445 | 3,069 | {
"idx": 445,
"question_idx": 3069,
"question": "Mr. Thompson recorded the following information from a science test taken by $100$ students in his classes:\n\\begin{tabular}{|c|c|}\n\\multicolumn{2}{c}{}\\\\\\hline\n\\textbf{$\\%$ Score}&\\textbf{Number of Students}\\\\\\hline\n100&4\\\\\\hline\n90&10\\\\\\hline... | 1 | 64 | 1 | true | 0.015625 | [
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162 | 16,691 | {
"idx": 162,
"question_idx": 16691,
"question": "The photographer wants to arrange three boys and three girls in a row such that a boy or a girl could be at each end, and the rest alternate in the middle, calculate the total number of possible arrangements.",
"answer": "72",
"environment_feedback_level": "fu... | 1 | 64 | 1 | true | 0.015625 | [
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986 | 33,540 | {
"idx": 986,
"question_idx": 33540,
"question": "Given vector $\\overrightarrow{a}=({-1,\\sqrt{7}})$, $|{\\overrightarrow{b}}|=1$, and the angle between $\\overrightarrow{a}$ and $\\overrightarrow{b}$ is $\\frac{π}{4}$, calculate the magnitude of $\\overrightarrow{a}-2\\overrightarrow{b}$. Provide your answer as... | 1 | 64 | 1 | true | 0.015625 | [
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280 | 6,019 | {
"idx": 280,
"question_idx": 6019,
"question": "We consider a white \\( 5 \\times 5 \\) square consisting of 25 unit squares. How many different ways are there to paint one or more of the unit squares black so that the resulting black area forms a rectangle?",
"answer": "225",
"environment_feedback_level": "... | 1 | 64 | 1 | true | 0.015625 | [
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498 | 31,791 | {
"idx": 498,
"question_idx": 31791,
"question": "The point A (x, y) is the intersection of the terminal side of a -300° angle with the unit circle. Calculate the value of y/x.",
"answer": "\\sqrt{3}",
"environment_feedback_level": "full_solution",
"solution": "N/A"
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296 | 4,569 | {
"idx": 296,
"question_idx": 4569,
"question": "Simplify $(2^8 + 4^5)(2^3 - (-2)^2)^{11}$.",
"answer": "5368709120",
"environment_feedback_level": "full_solution",
"solution": "N/A"
} | 1 | 64 | 1 | true | 0.015625 | [
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534 | 34,269 | {
"idx": 534,
"question_idx": 34269,
"question": "Arrange five different products in a row on a shelf such that products A and B must be together, while products C and D must not be next to each other. Calculate the total number of different arrangements possible. Express your answer as a single integer.",
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