data_source stringclasses 1
value | prompt listlengths 1 1 | images images listlengths 1 1 | reward_model dict | extra_info dict |
|---|---|---|---|---|
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>At which value of x is f continuous but not differentiable?\n\nA. a\nB. b\nC. c\nD. d\nE. e",
"role": "user"
}
] | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--0",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>At which value of x is f continuous but not differentiable?\n\nA. a\nB. b\nC. c\nD. d\nE. ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table shows values of $f'$, the derivative of function $f$. Although $f'$ is continuous over all real numbers, only selected values of $f'$ are shown. If $f... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--1",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table shows values of $f'$, the derivative of function $f$. Although $f'$ is continuou... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown is a graph of $f''$, the second derivative of function $f$. The curve is given by the equation $f'' = (x - a)^2 (x - d)$. The graph of $f$ has inflection ... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--2",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown is a graph of $f''$, the second derivative of function $f$. The curve is given by th... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown in the diagram is a graph of $f'$, the derivative of function $f$. If $f(3) = 3$, then $f(1)=$?\n\nA. \\frac{10}{3}\nB. \\frac{13}{3}\nC. -\\frac{5}{3}\nD... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--3",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown in the diagram is a graph of $f'$, the derivative of function $f$. If $f(3) = 3$, th... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown is a graph of $f'$, the derivative of function $f$. Which of the following statements is true?\n\nA. $f$ is not differentiable at $x = -2$.\nB. $f$ has a ... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--4",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown is a graph of $f'$, the derivative of function $f$. Which of the following statement... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which of the graphs shown does the $\\lim_{x \\to 3} f(x)$ exist?\n\nA. I only\nB. II only\nC. I and II only\nD. III only\nE. I and III only",
"role": "user... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--5",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which of the graphs shown does the $\\lim_{x \\to 3} f(x)$ exist?\n\nA. I only\nB. II only... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A graph of function $f(x)$ on the interval $[-1, 4]$ is shown. Regions A, B, and C have areas of 1, 2, and 3 respectively. What is $\\int_{-1}^{4} (f(x) + 2) dx... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--6",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A graph of function $f(x)$ on the interval $[-1, 4]$ is shown. Regions A, B, and C have ar... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown above is a slope field for which of the following differential equations?\n\nA. $\\frac{dy}{dx} = \\frac{x}{y}$\nB. $\\frac{dy}{dx} = xy$\nC. $\\frac{dy}{... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--7",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Shown above is a slope field for which of the following differential equations?\n\nA. $\\f... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a piecewise linear function $f(x)$ is above. Evaluate $\\int_{3}^{8} f'(x) , dx$.\n\nA. 2\nB. -2\nC. 5\nD. 0",
"role": "user"
}
] | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--8",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a piecewise linear function $f(x)$ is above. Evaluate $\\int_{3}^{8} f'(x) , ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above gives selected values for the twice-differentiable function f. In which of the following intervals must there be a number c such that $f'(c) = -... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--9",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above gives selected values for the twice-differentiable function f. In which of... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a function, $f$, is shown above. Let $h(x)$ be defined as $h(x) = (x + 1) \\cdot f(x)$. Find $h'(4)$.\n\nA. -6\nB. -2\nC. 4\nD. 14",
"role": "u... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--10",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a function, $f$, is shown above. Let $h(x)$ be defined as $h(x) = (x + 1) \\... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Two differentiable functions, $f$ and $g$ have the property that $f(x) \\geq g(x)$ for all real numbers and form a closed region $R$ that is bounded from $x = 1... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--11",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Two differentiable functions, $f$ and $g$ have the property that $f(x) \\geq g(x)$ for al... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above gives values of a differentiable function $f(x)$ at selected $x$ values. Based on the table, which of the following statements about $f(x)$ coul... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--12",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above gives values of a differentiable function $f(x)$ at selected $x$ values. ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The function $f$ is continuous on the closed interval $[-2,2]$. The graph of $f'$, the derivative of $f$, is shown above. On which interval(s) is $f(x)$ increas... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--13",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The function $f$ is continuous on the closed interval $[-2,2]$. The graph of $f'$, the de... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above. Which of the following statements is false?\n\nA. $f(1) = \\lim_{x \\to 1} f(x)$\nB. $f(3) = \\lim_{x \\to 3} f(x)$\nC. $f(x)$ ... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--14",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above. Which of the following statements is false?\n\nA. $f(1) ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Consider the following back-to-back stemplot:\nWhich of the following are true statements?\nI. The distributions have the same mean.\nII. The distributions have... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--15",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Consider the following back-to-back stemplot:\nWhich of the following are true statements... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows cumulative proportions plotted against land values (in dollars per acre) for farms on sale in a rural community. What is the median land v... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--16",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows cumulative proportions plotted against land values (in dollars per ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Following is a histogram of ages of people applying for a particular high-school teaching position. Which of the following statements are true?\nI. The median a... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--17",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Following is a histogram of ages of people applying for a particular high-school teaching... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A study was conducted to determine the effectiveness of varying amounts of vitamin C in reducing the number of common colds. A survey of 450 people provided the... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--18",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A study was conducted to determine the effectiveness of varying amounts of vitamin C in r... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The boxpolts below summarize the distribution of SAT verbal and math scores among students at an upstate New York high school. Which of the following statements... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--19",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The boxpolts below summarize the distribution of SAT verbal and math scores among student... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The prices, in thousands of dollars, of 304 homes recently sold in a city are summarized in the histogram below. Based on the histogram, which of the following ... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--20",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The prices, in thousands of dollars, of 304 homes recently sold in a city are summarized ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>As part of a study on the relationship between the use of tanning booths and the occurrence of skin cancer, researchers reviewed the medical records of 1,436 pe... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--21",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>As part of a study on the relationship between the use of tanning booths and the occurren... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In northwest Pennsylvania, a zoologist recorded the ages, in months, of 55 bears and whether each bear was male or female. The data are shown in the back-to-bac... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--22",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In northwest Pennsylvania, a zoologist recorded the ages, in months, of 55 bears and whet... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Nutritionists examined the sodium content of different brands of potato chips. Each brand was classified as either healthy or regular based on how the chips we... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--23",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Nutritionists examined the sodium content of different brands of potato chips. Each brand... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A factory has two machines, A and B, making the same part for refrigerators. The number of defective parts produced by each machine during the first hour of ope... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--24",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A factory has two machines, A and B, making the same part for refrigerators. The number o... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A state educational agency was concerned that the salaries of public school teachers in one region of the state, region A, were higher than the salaries in anot... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--25",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A state educational agency was concerned that the salaries of public school teachers in o... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>As part of a community service program, students in three middle school grades (grade 6, grade 7, grade 8) each chose to participate in one of three school-spo... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--26",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>As part of a community service program, students in three middle school grades (grade 6, ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The number of siblings was recorded for each student of a group of 80 students. Some summary statistics and a histogram displaying the results are shown below. ... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--27",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The number of siblings was recorded for each student of a group of 80 students. Some summ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Extra study sessions were offered to students after the midterm to help improve their understanding of statistics. Student scores on the midterm and the final e... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--28",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Extra study sessions were offered to students after the midterm to help improve their und... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A resident of Auto Town was interested in finding the cheapest gas prices at nearby gas stations. On randomly selected days over a period of one month, he recor... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--29",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A resident of Auto Town was interested in finding the cheapest gas prices at nearby gas s... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>During flu season, a city medical center needs to keep a large supply of flu shots. A nurse’s aid compiles data on the number of flu shots given per day in the ... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--30",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>During flu season, a city medical center needs to keep a large supply of flu shots. A nur... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the northern United States, schools are sometimes closed during winter due to severe snowstorms. At the end of the school year, schools have to make up for t... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--31",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the northern United States, schools are sometimes closed during winter due to severe s... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>X and Y are independent random variables; the probability distributions for each are given in the table above. Let Z = X + Y. What is P(Z ≤ 2)?\nA. 0.07\nB. 0.1... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--32",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>X and Y are independent random variables; the probability distributions for each are give... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Two hundred students were classified by sex and hostility level (low, medium, high), as measured by an HLT-test. The results were the following. If the hostilit... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--33",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Two hundred students were classified by sex and hostility level (low, medium, high), as m... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following boxplot summarizes the prices of books at a bookstore. Which of the following is true about the prices of books at this store?\n\nA. This store ca... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--34",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following boxplot summarizes the prices of books at a bookstore. Which of the followi... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following graph summarizes data collected on annual rainfall in two cities for the past 150 years. Which of the following conclusions can be made from this ... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--35",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following graph summarizes data collected on annual rainfall in two cities for the pa... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following cumulative graph gives the electricity demand of a certain town.The power plant that provides electricity to this town is capable of generating 12... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--36",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following cumulative graph gives the electricity demand of a certain town.The power p... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Sixty pairs of measurements were taken at random to estimate the relation between variables X and Y. A least squares regression line was fitted to the collected... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--37",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Sixty pairs of measurements were taken at random to estimate the relation between variabl... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following computer output for a least-squares regression for Questions below. What is the equation of the least-squares regression line?\nA. ŷ= -0.6442x... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--38",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following computer output for a least-squares regression for Questions below. Wha... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Given that the analysis is based on 10 datapoints, what is the P-value for the t-test of the hypothesis $H_0 : \\beta = 0$ vesus $H_A : \\beta ≠ 0$.\n\nA. 0.02 ... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--39",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Given that the analysis is based on 10 datapoints, what is the P-value for the t-test of ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If three fair coins are flipped, P(0 heads) = 0.125, P(exactly 1 head) = 0.375, P(exactly 2 heads) = 0.375, and P(exactly 3 heads) = 0.125. The following result... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--40",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If three fair coins are flipped, P(0 heads) = 0.125, P(exactly 1 head) = 0.375, P(exactly... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>For the histogram pictured above, what is the class interval (boundaries) for the class that contains the median of the data?\n\nA. (5, 7)\nB. (9, 11)\nC. (11, ... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--41",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>For the histogram pictured above, what is the class interval (boundaries) for the class t... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Thirteen large animals were measured to help determine the relationship between their length and their weight. The natural logarithm of the weight of each anima... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--42",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Thirteen large animals were measured to help determine the relationship between their len... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>For the following observations collected while doing a chi-square test for independence between the two variables Aand B, find the expected value of the cell ma... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--43",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>For the following observations collected while doing a chi-square test for independence b... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following is a probability histogram for a discrete random variable X. What is $\\mu_x$.\n\nA. 3.5\nB. 4.0\nC. 3.7\nD. 3.3\nE. 3.0",
"role": "user"
}
... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--44",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The following is a probability histogram for a discrete random variable X. What is $\\mu_... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>You are developing a new strain of strawberries (say, Type X) and are interested in its sweetness as compared to another strain (say, Type Y). You have four plo... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--45",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>You are developing a new strain of strawberries (say, Type X) and are interested in its s... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A set of test scores has the following 5-number summary. Which statement about outliers must be true?\n\nA. There is exactly one outlier on the lower end.\nB. T... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--46",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A set of test scores has the following 5-number summary. Which statement about outliers m... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above shows the regression output for predicting the number of calories from the number of milligrams of sodium for items at a fast-food chain. What p... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--47",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table above shows the regression output for predicting the number of calories from th... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Researchers in the Southwest are studying tortoises-a species of animal that is affected by habitat loss due to human development of the desert. A total of 78 t... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--48",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Researchers in the Southwest are studying tortoises-a species of animal that is affected ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Breakfast cereals have a wide range of sugar content. Some cereals contain High Fructose Corn Syrup (HFCS) as a source of sugar and some do not. The boxplots ab... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--49",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Breakfast cereals have a wide range of sugar content. Some cereals contain High Fructose ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Researchers were gathering data on alligators in an attempt to estimate an alligator's weight from its length. They captured 29 alligators and measured their le... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--50",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Researchers were gathering data on alligators in an attempt to estimate an alligator's we... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Listed above are the summary statistics for the daily high temperatures (in degrees F) for the month of September in a Midwestern U.S. city. One particular day ... | {
"ground_truth": "E",
"style": "rule"
} | {
"gt_answer": "E",
"id": "scemqa_mc--51",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Listed above are the summary statistics for the daily high temperatures (in degrees F) fo... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In American football, the running back carries the football forward in a quest to score points. Many people create fantasy football teams by selecting players a... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--52",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In American football, the running back carries the football forward in a quest to score p... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Above is a cumulative relative frequency plot for the scores of a large university class on a 90-point statistics exam. Which of the following observations is c... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--53",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Above is a cumulative relative frequency plot for the scores of a large university class ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Some health professionals suspect that doctors are more likely to order cardiac tests for men than women, even when women describe exactly the same symptoms. Yo... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--54",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Some health professionals suspect that doctors are more likely to order cardiac tests for... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the function \\( f \\) is shown below:\n\nIf $g(x) = \\int_{0}^{x^2} f(t) \\, dt$, what is $g'(2)$?\n\nA. 32\nB. 16\nC. 8\nD. 4",
"role": "user... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--55",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the function \\( f \\) is shown below:\n\nIf $g(x) = \\int_{0}^{x^2} f(t) \\... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f'$ is shown above. Which statements about $f$ must be true for $a < x < b$?\nI. $f$ is increasing.\nII. $f$ is continuous.\nIII. $f$ is different... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--56",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f'$ is shown above. Which statements about $f$ must be true for $a < x < b$... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table shows some of the values of differentiable functions $f$ and $g$ and their derivatives. If $h(x) = f(g(x))$, then $h'(2)$ equals\nA. -2\nB. -1\nC. 0\n... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--57",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table shows some of the values of differentiable functions $f$ and $g$ and their deri... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above, and $f$ is twice differentiable. Which of the following has the largest value?\nI. $f(0)$\nII. $f'(0)$\nIII. $f''(0)$\n\nA. I\n... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--58",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above, and $f$ is twice differentiable. Which of the following ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A slope field for a differential equation is shown above. Which of the following could be the differential equation?\nA. $ \\frac{dx}{dy} = 2x $\nB. $ \\frac{dx... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--59",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A slope field for a differential equation is shown above. Which of the following could be... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f''$, the second derivative of $f$ is shown above. The graph of $f''$ has horizontal tangents at $x = -2$ and $x = 2$. For what values of $x$ does... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--60",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f''$, the second derivative of $f$ is shown above. The graph of $f''$ has h... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The domain of the function $f$ is $0 \\leq x \\leq 9$ as shown above. If $g(x) = \\int_{0}^{x} f(t) , dt$, at what value of $x$ is $g(x)$ the absolute maximum?\... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--61",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The domain of the function $f$ is $0 \\leq x \\leq 9$ as shown above. If $g(x) = \\int_{0... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a function $f$ is shown above. Which of the following statements is/are true?\n\nI. $\\lim_{x \\to 1} f(x)$ exists\n\nII. $f(1)$ exists\n\nIII. $\\... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--62",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of a function $f$ is shown above. Which of the following statements is/are true... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The base of a solid is a region bounded by the lines $y = x$, $y = -x$, and $x = 4$, as shown above. What is the volume of the solid if the cross sections perpe... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--63",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The base of a solid is a region bounded by the lines $y = x$, $y = -x$, and $x = 4$, as s... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Let $f$ be a continuous function on $[0, 6]$ and have selected values as shown below.\nIf you use the subintervals $[0, 2]$, $[2, 4]$, and $[4, 6]$, what is the... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--64",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Let $f$ be a continuous function on $[0, 6]$ and have selected values as shown below.\nIf... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ for $-1 \\leq x \\leq 3$ consists of two semicircles, as shown above. What is the value of $\\int_{-1}^{3} f(x) , dx$?\n\nA. 0\n\nB. $\\pi$\n\n... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--65",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ for $-1 \\leq x \\leq 3$ consists of two semicircles, as shown above. Wh... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the polar curve $r = 3 - \\sin \\theta$ is shown above. Which of the following expressions gives the area of the region enclosed by the curve?\n\nA... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--66",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the polar curve $r = 3 - \\sin \\theta$ is shown above. Which of the followi... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the velocity function of a moving particle is shown above. What is the total displacement of the particle during $0 \\leq t \\leq 20$?\n\nA. $20 , ... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--67",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the velocity function of a moving particle is shown above. What is the total... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A particular solution of the differential equation whose slope field is shown abovecontains point $P$. This solution may also contain which other point?\n\nA. E... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--68",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A particular solution of the differential equation whose slope field is shown abovecontai... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Using the left rectangular method and four subintervals of equal width, estimate $\\int_{0}^{8} |f(t)| , dt$, where $f$ is the function graphed below.\n\nA. 16\... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--69",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Using the left rectangular method and four subintervals of equal width, estimate $\\int_{... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph of $f$ shown on $[0,7]$. Let $G(x) = \\int_{2}^{3x-1} f(t) , dt$.\n\n$G'(1)$ is\n\nA. 1\n\nB. 2\n\nC. 3\n\nD. 6",
"role": "user"
}
] | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--70",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph of $f$ shown on $[0,7]$. Let $G(x) = \\int_{2}^{3x-1} f(t) , dt$.\n\n$G'(1)... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph of $f$ shown on $[0,7]$. Let $G(x) = \\int_{2}^{3x-1} f(t) , dt$.\n\n$G$ has a local maximum at $x =$\n\nA. 1\n\nB. $\\frac{4}{3}$\n\nC. 2\n\nD. 5... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--71",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph of $f$ shown on $[0,7]$. Let $G(x) = \\int_{2}^{3x-1} f(t) , dt$.\n\n$G$ ha... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph below, consisting of two line segments and a quarter-circle. The graph shows the velocity of an object during a 6-second interval.\n\nDuring what ... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--72",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the graph below, consisting of two line segments and a quarter-circle. The graph show... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above. Let $G(x) = \\int_{0}^{x} f(t)dt$ and $H(x) = \\int_{2}^{x} f(t) dt$. Which of the following is true?\n\nA. $G(x) = H(x) + 3$\n... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--73",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above. Let $G(x) = \\int_{0}^{x} f(t)dt$ and $H(x) = \\int_{2}^... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which function could be a particular solution of the differential equation whose slope field is shown above?\nA. $y = x^3$\nB. $y = \\frac{2x}{x^2 + 1}$\nC. $y ... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--74",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which function could be a particular solution of the differential equation whose slope fi... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The work done in lifting an object is the product of the weight of the object and the distance it is moved. A cylindrical barrel 2 feet in diameter and 4 feet h... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--75",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The work done in lifting an object is the product of the weight of the object and the dis... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows the velocity of an object moving along a line, for $0 \\leq t \\leq 9$.\n\nThe object is farthest from the starting point at $t =$\n\nA. 2... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--76",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows the velocity of an object moving along a line, for $0 \\leq t \\leq... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The equation of the curve shown below is $y = \\frac{4}{1+x^2}$. What does the area of the shaded region equal?\n\nA. $4 - \\frac{\\pi}{4}$\n\nB. $8 - 2\\pi$\n\... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--77",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The equation of the curve shown below is $y = \\frac{4}{1+x^2}$. What does the area of th... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following table, which shows the values of the differentiable functions $f$ and $g$.\nThe average rate of change of function $f$ on $[1,4]$ is\n\nA. $\\... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--78",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following table, which shows the values of the differentiable functions $f$ and $... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following table, which shows the values of the differentiable functions $f$ and $g$f $h(x) = g(f(x))$ then $h'(3) =$\n\nA. $\\frac{1}{2}$\n\nB. $1$\n\nC... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--79",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Use the following table, which shows the values of the differentiable functions $f$ and $... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which equation has the slope field shown below?\n\nA. $\\frac{dy}{dx} = \\frac{5}{y}$\n\nB. $\\frac{dy}{dx} = \\frac{5}{x}$\n\nC. $\\frac{dy}{dx} = \\frac{x}{y}... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--80",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which equation has the slope field shown below?\n\nA. $\\frac{dy}{dx} = \\frac{5}{y}$\n\n... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows the velocity of an object moving along a line, for $0 \\leq t \\leq 9$.\n\nAt what time does the object attain its maximum acceleration?\n... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--81",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph below shows the velocity of an object moving along a line, for $0 \\leq t \\leq... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Here is the content from the image with the mathematical parts denoted by $:\n\nWater is poured at a constant rate into the conical reservoir shown above. If th... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--82",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Here is the content from the image with the mathematical parts denoted by $:\n\nWater is ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If $P(x) = g^2(x)$, then $P'(3)$ equals\n\nA. 4\n\nB. 6\n\nC. 9\n\nD. 12",
"role": "user"
}
] | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--83",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If $P(x) = g^2(x)$, then $P'(3)$ equals\n\nA. 4\n\nB. 6\n\nC. 9\n\nD. 12"
} | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the table above, if $h(x) = g(f(x))$, then $h'(2) =$\n\nA. 4\n\nB. 2\n\nC. -6\n\nD. -18",
"role": "user"
}
] | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--84",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the table above, if $h(x) = g(f(x))$, then $h'(2) =$\n\nA. 4\n\nB. 2\n\nC. -6\n\nD. -1... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Using the subintervals $[0, 2]$, $[2, 5]$, $[5, 7]$, and $[7, 10]$, approximate $\\int_{0}^{10} f(x)dx$ using a left Riemann sum.\n\nA. 102\n\nB. 204\n\nC. 176\... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--85",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Using the subintervals $[0, 2]$, $[2, 5]$, $[5, 7]$, and $[7, 10]$, approximate $\\int_{0... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which of the following is the differential equation of the slope field above?\n\nA. $\\frac{dy}{dx} = x^2 + y^2$\n\nB. $\\frac{dy}{dx} = x^2 - y^2$\n\nC. $\\fra... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--86",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Which of the following is the differential equation of the slope field above?\n\nA. $\\fr... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If $g(x) = \\int_{0}^{x^2} f(t) , dt$, what is $g'(2)$?\n\nA. 32\n\nB. 16\n\nC. 8\n\nD. 4",
"role": "user"
}
] | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--87",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>If $g(x) = \\int_{0}^{x^2} f(t) , dt$, what is $g'(2)$?\n\nA. 32\n\nB. 16\n\nC. 8\n\nD. 4... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown in the figure above. If $g(x) = \\int_{0}^{x} f(t) , dt$, for what positive value of $x$ does $g(x)$ have a minimum?\n\nA. 1\n\nB. 2\n... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--88",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown in the figure above. If $g(x) = \\int_{0}^{x} f(t) , dt$, for w... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the northern United States, schools are sometimes closed during winter due to severe snowstorms. At the end of the school year, schools have to make up for t... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--89",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>In the northern United States, schools are sometimes closed during winter due to severe s... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>2. The table shows some of the values of differentiable functions $f$ and $g$ and their derivatives. If $h(x) = f(g(x))$, then $h'(2)$ equals\n\n\nA. -2\n\nB. -... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--90",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>2. The table shows some of the values of differentiable functions $f$ and $g$ and their d... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above, and $f$ is twice differentiable. Which of the following has the largest value?\n\nI. $f(0)$\nII. $f'(0)$\nIII. $f''(0)$\n\nA. I... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--91",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f$ is shown above, and $f$ is twice differentiable. Which of the following ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A slope field for a differential equation is shown above. Which of the following could be the differential equation?\n\nA. $\\frac{dx}{dy} = 2x$\n\nB. $\\frac{d... | {
"ground_truth": "B",
"style": "rule"
} | {
"gt_answer": "B",
"id": "scemqa_mc--92",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>A slope field for a differential equation is shown above. Which of the following could be... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f''$, the second derivative of $f$ is shown above. The graph of $f''$ has horizontal tangents at $x = -2$ and $x = 2$. For what values of $x$ does... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--93",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of $f''$, the second derivative of $f$ is shown above. The graph of $f''$ has h... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The figure below shows the portions of the graphs of the ray $\\theta = \\frac{\\pi}{4}$ and the curve $r = 2 \\cos \\theta + \\sin \\theta$ that lie in the fir... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--94",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The figure below shows the portions of the graphs of the ray $\\theta = \\frac{\\pi}{4}$ ... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graphs of the polar curves $r = 2 + \\cos \\theta$ and $r = -3 \\cos \\theta$ are shown on the graph below. The curves intersect when $\\theta = \\frac{2\\p... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--95",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graphs of the polar curves $r = 2 + \\cos \\theta$ and $r = -3 \\cos \\theta$ are sho... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the function $f$ is shown above. Which of the following statements is false?\n\nA. $\\lim_{x \\to 1} f(x) = \\infty$\n\nB. $\\lim_{x \\to 3} f(x) =... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--96",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The graph of the function $f$ is shown above. Which of the following statements is false?... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Let $h(x)$ be continuous on $[-5, -2]$ with some of the values shown in the following table:\nIf $h(x) = -1$ has no solutions on the interval $[-5, -2]$, which ... | {
"ground_truth": "D",
"style": "rule"
} | {
"gt_answer": "D",
"id": "scemqa_mc--97",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>Let $h(x)$ be continuous on $[-5, -2]$ with some of the values shown in the following tab... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The function $f$ is continuous and differentiable on $0 < x < 10$. Use the table of values to determine an interval for which according to the mean value theore... | {
"ground_truth": "C",
"style": "rule"
} | {
"gt_answer": "C",
"id": "scemqa_mc--98",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The function $f$ is continuous and differentiable on $0 < x < 10$. Use the table of value... | |
scemqa_mc | [
{
"content": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table below includes all critical points of the continuous function $g(x)$. Use the table to determine where the function $g(x)$ is increasing within the in... | {
"ground_truth": "A",
"style": "rule"
} | {
"gt_answer": "A",
"id": "scemqa_mc--99",
"mc_options": null,
"original_question": "Solve the given problem. Your final answer should be a single uppercase letter, e.g. A, B, C, D ..., indicating the correct option.<image>The table below includes all critical points of the continuous function $g(x)$. Use the t... |
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