task stringclasses 5
values | question stringlengths 93 255 | label stringlengths 1 13 | image_1 imagewidth (px) 320 1.47k | image_2 imagewidth (px) 310 1.43k | image_3 imagewidth (px) 720 800 ⌀ | image_4 imagewidth (px) 800 800 ⌀ | image_5 imagewidth (px) 800 800 ⌀ | image_6 imagewidth (px) 800 800 ⌀ | answer_format stringclasses 4
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FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 1]$ and $h(x)=g(x)$ for $x\in(1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 1^+} h(x)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(0) + g(1) + h(1)$. | 10 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $3 x - 1$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(1) + g(-2) + h(1)$. | 4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-3$. Compute $f(v)$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} - x + 1$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $- x$, f, g, or h? | h | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(0) + g(-1) + h(3)$. | -5 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(2) + g(-1) + h(1)$. | -1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(2))$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=0$. Compute $f(v)$. | 4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-2) + g(-1) + h(3)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-2) - g(-2)$. | 14 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, -2]$ and $h(x)=g(x)$ for $x\in(-2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to -2^+} h(x)$. | -6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $- 3 x - 2$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(3) + g(-1) + h(-3)$. | -8 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(1) + g(-1) + h(-1)$. | 10 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(0))$. | -6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 1]$ and $h(x)=g(x)$ for $x\in(1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 1^-} h(x)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 0]$ and $h(x)=g(x)$ for $x\in(0, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 0^-} h(x)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} - 3 x - 3$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-4$. Compute $f(v)$. | 6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-2) - g(-2)$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 0]$ and $h(x)=g(x)$ for $x\in(0, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 0^-} h(x)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-3) + g(2) + h(-3)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} - 2 x - 1$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-2) + g(2) + h(-3)$. | 7 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(1) - g(1)$. | -1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $- x^{2} + 3 x - 2$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} + 3 x + 3$, f, g, or h? | h | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(0))$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-4$. Compute $f(v)$. | -1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(-3))$. | -4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-1) - g(-1)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-4$. Compute $f(v)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=3$. Compute $f(v)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{2} - x$, f, g, or h? | h | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, -1]$ and $h(x)=g(x)$ for $x\in(-1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to -1^+} h(x)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(-1))$. | 6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} + 2 x - 2$, f, g, or h? | h | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(0) - g(0)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 2]$ and $h(x)=g(x)$ for $x\in(2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 2^-} h(x)$. | 7 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(0) - g(0)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(1))$. | -6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-2$. Compute $f(v)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 0]$ and $h(x)=g(x)$ for $x\in(0, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 0^-} h(x)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $2 x$, f, g, or h? | h | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $- 3 x^{2} - x + 3$, f, g, or h? | g | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 2]$ and $h(x)=g(x)$ for $x\in(2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 2^-} h(x)$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-1) + g(-2) + h(-2)$. | -10 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} + x - 2$, f, g, or h? | f | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(1) + g(2) + h(-2)$. | 5 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-1) - g(-1)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-5$. Compute $f(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=2$. Compute $f(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(3))$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(1) - g(1)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(0) + g(0) + h(-1)$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-1$. Compute $f(v)$. | 5 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 1]$ and $h(x)=g(x)$ for $x\in(1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 1^-} h(x)$. | -4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $- x$, f, g, or h? | f | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 0]$ and $h(x)=g(x)$ for $x\in(0, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 0^+} h(x)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 1]$ and $h(x)=g(x)$ for $x\in(1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 1^+} h(x)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 2]$ and $h(x)=g(x)$ for $x\in(2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 2^-} h(x)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, -1]$ and $h(x)=g(x)$ for $x\in(-1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to -1^+} h(x)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(1) + g(1) + h(-2)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=-3$. Compute $f(v)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(0))$. | -6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=1$. Compute $f(v)$. | -2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(-1))$. | -3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, -2]$ and $h(x)=g(x)$ for $x\in(-2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to -2^+} h(x)$. | 3 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | We have two functions $f(x)$ and $g(x)$; the graph for the former is shown below <image1> and for the latter is shown below <image2>. Let $v$ be a point at which $g(v)=2$. Compute $f(v)$. | -5 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, -2]$ and $h(x)=g(x)$ for $x\in(-2, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to -2^+} h(x)$. | -5 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-1) + g(1) + h(0)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Which graph corresponds to the function $x^{3} + x + 2$, f, g, or h? | f | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | Let $h(x)=f(x)$ for $x\in(-\infty, 1]$ and $h(x)=g(x)$ for $x\in(1, \infty)$. The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $\lim_{x \to 1^+} h(x)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-1) - g(-1)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Let $x=v$ be the point where the derivative of $f$ is zero, i.e. $f'(v)=0$. Compute $g(v)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(1))$. | 7 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(g(1))$. | -1 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(-1) - g(-1)$. | 2 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(0) + g(2) + h(0)$. | 6 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | |||
FuncRead | The graph of $f(x)$ is as follows <image1> and $g(x)$ as follows <image2>. Compute $f(3) - g(3)$. | 0 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. | ||
FuncRead | The graph of $f(x)$ is shown below <image1> $g(x)$ is shown below <image2> and $h(x)$ is shown below <image3>. Compute $f(-1) + g(0) + h(1)$. | -4 | Not supported with pagination yet | Not supported with pagination yet | Not supported with pagination yet | Output only a valid JSON string with two fields: "explanation" and "answer". Do not output anything else. The explanation field contains your reasoning. The answer field contains a string or numeric value corresponding to your final answer. | To create this task, we sampled polynomial functions of degree 1, 2, or 3 and plotted their graphs using the matplotlib library. Then we ask questions such as reading values, computing limits, composition, derivative-based value lookup, and matching a graph to a function. |
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