data_source stringclasses 1 value | prompt listlengths 1 1 | images listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?\nChoices:\nA:$f$ has a greate... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARkAAAEdCAIAAAC344RWAAB80klEQVR4nO19d5hkRfX2W3Xv7dw9Mz1xc2IDaZfMIoukJSpi+AQBAUVQEFAQkKQo/FCSCgisSFJQggEFlSxJwi55YdllYXOaPD3TufuGqu+P6r7TuW/39ITdnffZB3q669Y9VXVOnapT59QhnHOMYxxDAOecEFLpTzseyLgsjWMcNQEdbQLGscOBAzvl/DwuS+MYLuxsS57xNd44xlEbyKNNwDh2DDCAgQOgAAUHSBKATuwMUICdwf4wvsYb... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 0,
"question": "g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the same maximum.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c, a parallel b, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAABjCAAAAACgII1eAAAa90lEQVR4nMV7e7BlaVXfb631fXufc8999e3HdM9MzwAqAspDjEQJIUpEB1Si0QQ1kRhfiQaTGI3xGSsV1Cq1KmpMhJSWKCSYYGI0EomYogiCUOKAwPBwZBgdZnr6dvft+zrn7L2/b61f/tinZ7CVqqmeRr+6d//u/s4++679Pdbjt9YW4i+pdRNU89S3WE4PNz/RVfoXKdKfal0tHeJKx4Pph9O7PtFVyr+ktkTKfsST1m1c/I07XvKq6z9f... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 1,
"question": "As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c, a parallel b, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40°\nD:60°",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Three rays intersect at two points. Two shorter rays are parallel. Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8 You FIRST think about the reasoning process as an internal monolog... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaoAAADKCAYAAAD0DAQYAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 2,
"question": "Three rays intersect at two points. Two shorter rays are parallel. Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is an isosceles triangle with side length 32. The base angle is 54 degrees. x is half of the base. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0 Yo... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAADACAYAAAAp+K7LAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 3,
"question": "There is an isosceles triangle with side length 32. The base angle is 54 degrees. x is half of the base. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Two rays intersect and form four angles all as x degrees. Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120 You FIRST think about the reasoning process as an internal monologue and then provid... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAboAAAGfCAYAAAAplhcAAAAv3UlEQVR4nO3dd3Rc5aHv/e+erjbq3b0g23Kv4IYxoRNeEkpICBBCTT3lfc/NeVfeu9Zdd911z7kn52aR8iaB0AKB0ELvxbgIG4yLbOReJUtWL6MZjWZGM7PvHzLGxgaMUWEe/T5r5R8ha+0na2Z/97P3s/e2bNu2ERERMZRjuDdARERkMCl0IiJiNIVORESMptCJiIjRFDoRETGaQiciIkZT6ERExGgKnYiIGE2hExERoyl0IiJiNIVORESM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 4,
"question": "Two rays intersect and form four angles all as x degrees. Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There are two right triangles D F E and A C B. Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9 You FIRST think about the reasoning process as an internal monologue and then provide the final an... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEECAYAAAAGSGKZAAA0BklEQVR4nO3de1iUZf7H8TcNqBCieMIDKgoCKp4FTU3dyrQsTU1LS9NCd7d0+7mma2WpW7amGZlWW+bZNDW1soOnNjXPIqLgCVFRB00REASGkRnm98foCDjAzDDDnL6v6+q6GpgZbgSez/Pc9/O9vx46nU6HEEIIYaYH7D0AIYQQzkkCRAghhEUkQIQQQlhEAkQIIYRFJECEEEJYRAJECCGERSRAhBBCWEQCRAghhEUkQIQQQlhEAkQIIYRF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 5,
"question": "There are two right triangles D F E and A C B. Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAAFQCAIAAACnDfsiAABvcElEQVR4nO19d3xcxdn1mblti6old4ONwRRjTIcAAUIvAWxDyJdGAnlDCxDSG6SQhCSEN6SQhARIgDeEhBJqKr1jei+2ca+SJe1q+y0z8/0xu6vd1Upa7c7KK+uen38gXe0+97l35plnypkzRAiBaiG/SYqucSEEIVrVNn348FE1qFpzQghCyMif8+HDRx1AasnPtaBsbgegvInx4WPiwA8eHz62H4w6nkUutVb3yXx3gJQmZ+mM37748FE9... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 6,
"question": "Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden, which decreases when $w$ increases and goes through (5,20), (10,10), (20,5). As the possible width of Lea's garden increases, what does its possible length approach?\nChoices:\nA:$\\infty$\nB:$\\hline 0$\nC:$\\hline 10$\nD:$\\hline 120$",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: From the cockpit of an aeroplane flying at an altitude of 3000 m, the angle of depression to the airport is 57°. The aeroplane continues to fly in the same straight line, and after a few minutes ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAEFAWoDASIAAhEBAxEB/8QAHwABAQEAAwEBAAMBAAAAAAAAAAgJBgcKBQQBAgML/8QAQhAAAQMEAgAACwcC... | math-reasoning | {
"ground_truth": "675 m",
"style": "rule"
} | {
"answer": "675 m",
"index": 7,
"question": "From the cockpit of an aeroplane flying at an altitude of 3000 m, the angle of depression to the airport is 57°. The aeroplane continues to fly in the same straight line, and after a few minutes the angle of depression to the airport becomes 67°.\nNow find the distance between the two sightings.\n\nRound your answer to the nearest metre.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In triangle A B C, A B = x, B C = 16. \\angle B A C = 97 degrees and \\angle A C B = 21 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3 You FIRST th... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT8AAAHRCAYAAAAc6L5ZAAABRWlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 8,
"question": "In triangle A B C, A B = x, B C = 16. \\angle B A C = 97 degrees and \\angle A C B = 21 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the light source P is directly above the crossbar AB, the shadow of AB under the light is CD, AB parallel CD, AB = 2.0, CD = 5.0, the distance between point P an... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJwAAABuCAAAAAD3iSWDAAAHfElEQVR4nM1bW2wUVRj+zuylUIn4UKQJCyhoLNQQJCRoMGBStBCIIYGEmwQwQolgbEgwELkUiEaiGDQ0QPRheUDAaEqilG60SSsXW2mCGLA10kKzawRphGqr3Z2d+X2Y2fvczszZ1i/ZnZ0z//nn2/9yrjMgoVgFANtEaZMgFJ/taaTEt/VEQrQJJkc35yPwcg9jQrQJJvfbn6WE7imCtAkm17wEbO+FDWK8KppcZCtjP0RLxXgVfjFqdMTu... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 9,
"question": "As shown in the figure, the light source P is directly above the crossbar AB, the shadow of AB under the light is CD, AB parallel CD, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\nA:\\frac{6}{5}\nB:\\frac{7}{6}\nC:\\frac{9}{5}\nD:\\frac{15}{2}",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A square prism has sides of length 11cm, 11cm and 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n You FIRST think about the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAGvCAYAAAANGvDkAACv3UlEQVR4nOzdd3ic9Znv//f0Io1mRtKojHq3JFvuFdu4gA3GFDs2xUBOICEhZ9mzG8jyS/Y6SciePckmG9hyNlmSTQ5JyG5CDCSEXmyDGza4YGHJsiXZ6r1rNJo+vz985omEbXCRNCr367pyRRo9M7pHeEa3vs/nub+qcDgcRgghhBBCCDGpqKNdgBBCCCGEEOJC0qgLIYQQQggxCUmjLoQQQgghxCQkjboQQgghhBCTkDTqQgghhBBCTELS... | math-reasoning | {
"ground_truth": "$y=21.61$",
"style": "rule"
} | {
"answer": "$y=21.61$",
"index": 10,
"question": "A square prism has sides of length 11cm, 11cm and 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find A B if \\triangle A B C is an isosceles triangle with A B \\cong B C.\nChoices:\nA:3\nB:4\nC:7\nD:11 You FIRST think about the reasoning process as an internal monologue and then p... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAggAAAHWCAYAAAASIHGhAABvTklEQVR4nO3993Oj+X23e14AcwaYcyY755zIDpM0mtFIsmRJlpyqzj7Pnt0/YKv2h63aP2Frq/ac3XN87MeWJcuSpYkazUwnds45MudMRGYCuPeHG2Bods90MxN4v1yuUrU6oFsk8MGFb7AYhmEgIiIiMot1tR+AiIiIrD0aEERERGQeDQgiIiIyjwYEERERmUcDgoiIiMyjAUFERETm0YAgIiIi82hAEBERkXk0IIiIiMg8GhBERERkHg0I... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 11,
"question": "Find A B if \\triangle A B C is an isosceles triangle with A B \\cong B C.\nChoices:\nA:3\nB:4\nC:7\nD:11",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AC is the diameter of circle O, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100° You FIRST think about the reasonin... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABxCAAAAADtpeKjAAAKlklEQVR4nM1af2ybxRl+PrdZRuvxMXCpN8xcFgMuQV0gBboRKe0IWqYWLYiw0BFpmSiKtmhalmVbmCoMUpE6DYmg5Y+iCtWVMpGNjDINSjoS6rAIZUq1VJDOieKoGU5XV9kkV0k3z5/7Pfvj/Nnfj/OPOPljj6L4u/d+PHfv3b13994pRHm4en72cgRYuETAV4Oqh3131rvLzAtAKYdn6YP3I5cbbq95wI0dfgB/X8Tq1EJ8wrevqWn7RvHM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 12,
"question": "As shown in the figure, AC is the diameter of circle O, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$. The center of the circle is the origin and t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmEAAAHvCAYAAAAcpwh+AABj7ElEQVR4nO3dd1xV9ePH8ReJxlQRJ+4JmntvzAXmnqlpZa7K0tJSK21aamWZNsyG5t655bpnDpw5ce+FAxUETeX3B1/OD5qgwOdy7/v5ePjonHMv8Pb79V7e93PO+XxcYmNjYxERERGRNPWY6QAiIiIizkglTERERMQAlTARERERA1TCRERERAxwNR0A4MTpMyxft4H9YYe5FRllOo6IiEi64u3lyRP+JWgcWIfCBfKbjiNJ5GL67sgNW0OZ... | math-reasoning | {
"ground_truth": "$-\\frac{21}{29}$",
"style": "rule"
} | {
"answer": "$-\\frac{21}{29}$",
"index": 13,
"question": "The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$. The center of the circle is the origin and the radius of the circle is 1.\n\nFind the value of $\\cos a$.\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, it is known that in Rttriangle ABC, angle C = 90.0, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5} You FIRST... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABUCAAAAABmEcBUAAAEwUlEQVR4nM2aS2gbRxjH/6MUTyCG1NQhLg3YsdUoLaFR8SEKPTgtlCiXJKU9+tJC7dBDjAlE1k095UHbRIeEgA19EGjdhDr00PoBjXOqbop6aKxiUQmTgltRmjgFrR/79TCrfUir1WN3dvtH0uzMjnZ+mvm++WZHC/wPxEBBIwChQFs/wxhjdwFQgFJPf0s/IhtsT2wXTuFw0MPx0xvdmBiLBjscNwDkiILtiaUc3Tj6MNjhKP7zGj6MLAYL... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 14,
"question": "As shown in the figure, it is known that in Rttriangle ABC, angle C = 90.0, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Xuan Xuan and Kai Kai are in the same mathematics study group. In a math activity class, they each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzle... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAAAAAC7PATWAAAJkElEQVR4nLWZe1wU1xXHf/fOrCuCoknXlpREw8d+fL9IUXwlQnzFGGM+qe3n05hiagwSBYnERVGDgCgvUUTxRaKo8RU1vqpNTKza6kcb89L6tqgRpYUmahZc9jFz+sfM7s7uzu6iiecPPjvn3vnOueeec+bcgREekfBHBX6EZBGAszGshSSJkAhEEojICYCIERhjxCADgEwACQYAYADISQT6zsoZv9fEwSwNAJPtDhlC5JBOClk+uOOuXXZC... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 15,
"question": "Xuan Xuan and Kai Kai are in the same mathematics study group. In a math activity class, they each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure, it is ()\nChoices:\nA:12cm\nB:24cm\nC:36cm\nD:48cm",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAEtCAIAAADvE8DfAAB6pklEQVR4nO19d5wUVdb2c29VdffkDMzAkIPkDKJgAFHMGQMGQMWI7r677qq7fu6aXbMgZoKYQMScJUuQLDnnyXl6ejpU1b3fH9Xd07lrenqGQev5va87VJ8699xw6txw7jmEc47GgQEAaLifOeeEkNjeNWDAQPzVI7xCGjBgIDpI4+0kAGjvRFY+PTQGDBgIQAtNI2PTfAMG/oSI0U42Bwy7asAAmslOcs4BBigAAwe49h+0Fu03YKAVo9E6... | math-reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 16,
"question": "Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. $f(x)$ in blue goes through (0,1000), (5,1500), and $g(x)$ in red goes through (6,1500), (8,2000). When do the accounts have the same balance?\nRound your answer to the nearest integer. \n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: As shown in the figure above, a triangle has an angle of 50° and two sides of 12m and 13.1m. Calculate the area of the following triangle.\n\nRound your answer to two decimal places. You FIRST t... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCACiAMkDASIAAhEBAxEB/8QAHQABAQEBAQEBAQEBAAAAAAAAAAgJBwYFBAMKAf/EACoQAAICAwEBAAEDBAMB... | math-reasoning | {
"ground_truth": "60.21 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "60.21 \\mathrm{m}^2",
"index": 17,
"question": "As shown in the figure above, a triangle has an angle of 50° and two sides of 12m and 13.1m. Calculate the area of the following triangle.\n\nRound your answer to two decimal places.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The radius of the following figure is $2 \\mathrm{~cm}$. Calculate the area of the following figure, correct to one decimal place. You FIRST think about the reasoning process as an internal mono... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAH0CAYAAACXauFfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEpISURBVHhe7d1ntFTllvb9/nY+9Zenezzvhx6jz0FEFAUFQUVBRBBEVBRQFMkgGURylJxzEFCCBBUkIyioJMk5b3Jmk3POzPdc81lFw2mQtKv2qqr/b4w1jq5VBDnsXVfd97zn/DcDAABAKBDMAAAAQoJgBgAAEBIEMwAAgJAgmAEAAIQEwQwAACAk... | math-reasoning | {
"ground_truth": "Area $=9.4 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Area $=9.4 \\mathrm{~cm}^{2}$",
"index": 18,
"question": "The radius of the following figure is $2 \\mathrm{~cm}$. Calculate the area of the following figure, correct to one decimal place.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper, only one quadrilateral is showing. If x + y = 80, how many ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAEgCAYAAAAdeyQiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAFZPSURBVHhe7d1nszRXef3/ESLnDAIkJKF0gwjGUBRVfugHflm/V2RcZbvKqYzLlI2hTJKsiCISQeScw59PW+v+X7TnnLnDOec+M2d9q67qnu7du3f33j2zVu/dPTf94Y9sSimllFJKKeUYXvLitJRSSimllFKOpMahlFJKKaWUspMah1JKKaWUUspO... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 19,
"question": "In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper, only one quadrilateral is showing. If x + y = 80, how many sides does the polygon have?\nChoices:\nA.Ten\nB.Nine\nC.Eight\nD.Seven\nE.Six",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is an ellipse, for which the domain is from -3 to -1 and the range is from -1 to 3. Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHQCAIAAACjrc0xAAEAAElEQVR4nOz9aZAc2XUfjt7MrH3furq6et/QQDcaOzAEZiM5wyFFiaQkypQfKf/tCIVkWSFHWKOh9EV2hCIctkMOO/T39vwsyhIlm6JIzgxnxcxgMNgbDaABNIDe97W6q7r2PSuX+z4c9GUis6q6uisLC1m/mMB0ZmWee/Iu5557zr3nUBhjVEcdddRRR21AP2kG6qijItS1gTqeUdSFbB1PF0oJU4qiHjMnddShCupCto4nBqk8hb8xxlJh... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 20,
"question": "There is an ellipse, for which the domain is from -3 to -1 and the range is from -1 to 3. Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\\sec \\theta$ ?\n... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAv0AAAJWCAYAAADLHTg5AAB8vElEQVR4nO3dd1yV5f/H8TeggANFxT1xT1yI4R6gOdIEW9oAc6Vl+W1nZtm3ZcPSSi0HlW3FtLQScnxNcYt7YKLhwtwL2b8//Hl3DihL4D7n8Ho+Hjy6r+vc9zkfNM/9Pte57ut2Sk9PTxcAAAAAh+VsdgEAAAAAChahHwAAAHBwhH4AAADAwRH6AQAAAAdH6AcAAAAcHKEfAAAAcHCEfgAAAMDBEfoBAAAAB0foBwAAABwcoR8AAABwcIR+... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 21,
"question": "A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: This box is to have a divider placed in as shown. The box has sides of length 19 cm, 10 cm and 7 cm.\nCalculate the area of the divider correct to two decimal places, using your rounded answer fr... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXYAAADUCAYAAACI/Qg0AAAAAXNSR0IArs4c6QAAAFBlWElmTU0AKgAAAAgAAgESAAMAAAABAAEAAIdpAAQAAAABAAAAJgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABdqADAAQAAAABAAAA1AAAAAABnkcQAAABWWlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40... | math-reasoning | {
"ground_truth": "75.15 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "75.15 \\mathrm{m}^2",
"index": 22,
"question": "This box is to have a divider placed in as shown. The box has sides of length 19 cm, 10 cm and 7 cm.\nCalculate the area of the divider correct to two decimal places, using your rounded answer from the previous part.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Below is the graph of a trigonometric function. It has a maximum point at $\\left(\\frac{1}{4} \\pi,-2.2\\right)$ and a minimum point at $\\left(\\frac{3}{4} \\pi,-8.5\\right)$. What is the ampli... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAEUCAIAAAC6XCQxAAB320lEQVR4nO19d5xkRdX2U3Vvp8kznSaHzYFdWFiSSBZUVOBVzAmQV0U/xYjKq77mhGIkKYi+IIpIlKAiOcMuy7Isy8aJnbsn9XRPd997q74/qrvndprpNAGc58dPZ7tv1z0VTtWpU+c8RTjnWEalYAAAushSLGOesdzBy1hGsZAXW4DXNsTKTAgFALFIk8WUZxnzimVtqQiE6JSDc5BlXXk9gyzvW8oF0/29bND+R2B5bSkPDFAAACYAYAyA... | math-reasoning | {
"ground_truth": "3.15",
"style": "rule"
} | {
"answer": "3.15",
"index": 23,
"question": "Below is the graph of a trigonometric function. It has a maximum point at $\\left(\\frac{1}{4} \\pi,-2.2\\right)$ and a minimum point at $\\left(\\frac{3}{4} \\pi,-8.5\\right)$. What is the amplitude of the function?\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the line a parallel b and they intersect the line c at a and b respectively, angle 1 = 50.0, then the degree of angle 2 is ()\nChoices:\nA:150°\nB:130°\nC:100°\nD... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAABpCAAAAADjZ7VBAAAHcElEQVR4nNVbfWxW5RX/nacOiVkGf2DA8LIiJRuKg4bAMAPG4iDWyYQRm1aiGSYuxthMB002naMjsKibZJLOsQWWtWbJiBbFhTnUacpMCBuLigmtS2pF+oJ8JNtYywJt7/ntj3vf7/vR+7z39nW/pn3vx/Oc+3vPc855znOeWyE+nTC1JhCE/yNip0Se9g4J1GykK4i99uXhjwYBgIAAMvmUXEiJSojxL+1vzJ/VjBXKNSby5urGPNVa8qoY... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 24,
"question": "As shown in the figure, the line a parallel b and they intersect the line c at a and b respectively, angle 1 = 50.0, then the degree of angle 2 is ()\nChoices:\nA:150°\nB:130°\nC:100°\nD:50°",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the right triangle with hypotenuse length 74 and two sides length 24 and x, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72 You FIRST think about the reasoning ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAD/CAYAAAD8HRNnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 25,
"question": "In the right triangle with hypotenuse length 74 and two sides length 24 and x, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A piecewise function, with 2 segments constructed by a line passing (-5,1), (-3,2), and (-1,4) and a line passing (-1,5), (3,3), and (5,1), as shown in the figure. Let $f$ be the function given b... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA2AAAAGYCAYAAAAkzIH5AAEAAElEQVR4nOz9Z3BcaZrfC/7Te++QMAkkDEkAJAiCJECQrOoy3VVtiu00fXtmNZKmQz2SQiEpbty7G6vYjf2gbxMKRUir0Yzm3omNuzHTs91dfUfTplyTVWTRG4DwPuFdZiKR3mcesx9Q78s8AMgiWCQB8JxfRMX01CkAz3nP87zv87r/I0sWOR4SEhISEhISEhISEhISLxz5fhsgISEhISEhISEhISEhFpQAYFbL9tsOCYkt2ALYtU/w//6P... | math-reasoning | {
"ground_truth": "$[-5,-3) \\cup(-3,5]$",
"style": "rule"
} | {
"answer": "$[-5,-3) \\cup(-3,5]$",
"index": 26,
"question": "A piecewise function, with 2 segments constructed by a line passing (-5,1), (-3,2), and (-1,4) and a line passing (-1,5), (3,3), and (5,1), as shown in the figure. Let $f$ be the function given by the following graph. What is the domain of $f$? \n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: There is a curve goes through (-4,1), (-1,3), and (0,0). Estimate the intervals on which the function is increasing or decreasing.\n You FIRST think about the reasoning process as an internal mo... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAG0CAIAAADYSDVWAADyhElEQVR4nOz9WZAl13kein7/ytzzWPPUVdUzGg00JgIEQZAgQZEgBZKiTOlaPrpShCU5jsOypThx/HDDPvKTIxzhIe6RQw/HDllH8pUl8ZCiLFGkQFKUwAkAwQbQ6Eaju9FzzfOep5zWfx/W3llZu3ZV17BrV3V1flFoZO3KnWvItb71r39axMzw4cOHDx8NiP2ugA8fPnwcLPi06MOHDx9r4NOiDx8+fKyBT4s+fPjwsQY+Lfo46FBWQWZ2... | math-reasoning | {
"ground_truth": "The function is increasing on (-\\infty,-2.5) \\cup(1, \\infty), and decreasing on (-2.5,1)",
"style": "rule"
} | {
"answer": "The function is increasing on (-\\infty,-2.5) \\cup(1, \\infty), and decreasing on (-2.5,1)",
"index": 27,
"question": "There is a curve goes through (-4,1), (-1,3), and (0,0). Estimate the intervals on which the function is increasing or decreasing.\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: The graph, which is a piecewise function and passes through the origin, shows Bart's speed while he is competing in a walking race, the x-axis representing Time and the y-axis representi... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAHzCAYAAAA5J/n9AABFfElEQVR4nO3dd3hUVeLG8TchpBBK6D0RkSKCgBMQRIoiILjYkF9GFEEWBSwoCipKEBsiiAVXRbAgUiYugmJBBBFEkDI0kUiRpfdgAqQnJL8/WGcJhDJk7pyZyffzPPss99zJnTfjJLzce+6ZoPz8/HwBAADgogSbDgAAAOBPKE8AAABuoDwBAAC4gfIEAADgBsoTAACAGyhPAAAAbggxHeBvO3bv0Q9LlmrTlq06kZpmOg4AAH6lTOlIXdWg... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 28,
"question": "The graph, which is a piecewise function and passes through the origin, shows Bart's speed while he is competing in a walking race, the x-axis representing Time and the y-axis representing Speed. Which situation corresponds to the graph?\nChoices:\nA:Bart increases his speed for the first half of the race and then slows in the second half\nB:Bart starts off by increasing his pace gradually and then maintains a constant speed\nC:Bart starts off at a constant speed and then increases his speed at a steady rate\nD:Bart increases his speed at a constant rate throughout the entire race",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above, line AB, line CD, and line EF intersect at P. If r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?\nChoices:\nA.45\nB.50\nC.65\nD.75\nE.It cannot b... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApAAAAKjCAYAAACqWz9TAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAP+lSURBVHhe7N33911Xfef/QwgkJEDAxrj3Kku2JcuWZNmWbbliIBBDzAwlgUySlZn8lP9g/oD5cVYymawvK0AmBBJTjI2LLMlNxUWSLXe54gKmGwKEkvLlsfHbuf740+5Hn3LL67nWWbede+65p+z92u+2X/cfv6QLIYQQQghhlvzay48hhBBCCCHM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 29,
"question": "In the figure above, line AB, line CD, and line EF intersect at P. If r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?\nChoices:\nA.45\nB.50\nC.65\nD.75\nE.It cannot be determined from the information given",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A safety fence is constructed to protect tourists from the danger of an eroding castle toppling down. At point A, the surveyor takes an angle measurement to the top of the tower of 10°. She then ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAD0AXwDASIAAhEBAxEB/8QAHwABAAICAwEBAQEAAAAAAAAAAAcIBgkEBQoDAgsB/8QAVBAAAQQDAAEBAwQJ... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 30,
"question": "A safety fence is constructed to protect tourists from the danger of an eroding castle toppling down. At point A, the surveyor takes an angle measurement to the top of the tower of 10°. She then walks 29 meters towards the tower and takes another reading of 22° at point B.\nHence or otherwise, find the value of h to the nearest metre.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p? You FIRST think about the reasoning process as an interna... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA7gAAAIoCAYAAABDKEesAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAP+lSURBVHhe7P0HgBznYd/9/7Ze770X3B1wh94BAiDYSZGULFm9WJLtvHLiOE4cO+198yZO3jd5/Xccx45kyZJluUiWZFVS7AW993rAHYDrvfft5f/M3oEESIBNAAkOvx9iuLuzM7PzPDu3O799Zp5xxA0BAAAAAPA+51y4BQAAAADgfY2ACwAAAACw... | math-reasoning | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 31,
"question": "The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p?",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is a curve that goes through (-3,0), (-2,1), and (-1,2). Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAHTCAIAAADH5aTmAAEAAElEQVR4nOz9Z5AkyXEgjEZkltayu6q1nO7RelZjAS4WRxAACcHD0UDje3wf3/Ej+fGdGRfAw48T7/7cmZ3x7Ix2Zkc7uyPvw/GOAEkssLvY3VkxOzs7Wsue1t3TWlR3aZ0y3g+fjs3JrMqu7s4aAZbb2mxnZaaHZ4SHh4e7hzsmhKAGNKABDWhAHYB50gQ0oAENaMCvLDQkbAMa0IAG1AsaErYBDWhAA+oFDQnbgAY0oAH1goaEbUADGtCA... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 32,
"question": "There is a curve that goes through (-3,0), (-2,1), and (-1,2). Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: In triangle ABC, angle A is 60°, angle B is 35°, and the length of the perpendicular CD of AB is 9. Consider the following diagram.Hence, find the length of AB correct to two decimal places. You... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAC/AWMDASIAAhEBAxEB/8QAHQABAAMBAQEBAQEAAAAAAAAAAAcICQoFBgMEAv/EADUQAAEEAgIBAQcEAQQA... | math-reasoning | {
"ground_truth": "18.05",
"style": "rule"
} | {
"answer": "18.05",
"index": 33,
"question": "In triangle ABC, angle A is 60°, angle B is 35°, and the length of the perpendicular CD of AB is 9. Consider the following diagram.Hence, find the length of AB correct to two decimal places.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80° You FIRST think about the reasoning proc... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABzCAAAAACgbUOoAAAKq0lEQVR4nNVab2xbVxU/L4W9D3NnIV5WT30jG/GooVJnEaZmrJVTKR+iaeqClOJKyyCdpgRUYJ4atEzqZIEKM6IfgrSWdNVYkDph1m4eowhXyqiLOogUVHcoWzrmLpmcri6ewJs77aV1748P9/257/n9sT2BxFGb53fvue93zrn3nnvPuVcCtU6QTm2It8EvUFc7zNL1xzpDaQcHRLT/C9H/Oo5EdDj+focwbdltpX5vd+h/gPPzJ+hLHcK0... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 34,
"question": "As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the graph of the line whose x-intercept is 0.5 and y-intercept is 2. What is the slope of the line?\n You FIRST think about the reasoning process as an internal monologue and then provi... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAH1CAYAAADCjDVaAABf/0lEQVR4nO3deXAbV54n+C+AJAHwEsFTJC3RtkqHZck6SIn3IVEuH2VZJVdNV1u1sz3bU9PR65mYmJ6ejt3+Y6diZmNitnt6pid6Yys6qid6pyd2XF011Xa7XGVZEk9RtOSiRFEXraNkmYdEkSAJEGdmAkjsHxTSoETxEpEPIL6fiIqCgQTfT8BD4ovMl++ZotFoFERERERJwCy6ACIiIqIYBhMiIiJKGgwmRERElDQYTIiIiChpMJgQERFR... | math-reasoning | {
"ground_truth": "slope =-4",
"style": "rule"
} | {
"answer": "slope =-4",
"index": 35,
"question": "Consider the graph of the line whose x-intercept is 0.5 and y-intercept is 2. What is the slope of the line?\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The graphs of logarithm function $f(x)=\\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqQAAAIxCAYAAACb7apZAABqrElEQVR4nO3dd3xb9b3/8bfkKVvejp3hJE6cvQdhBEhCKZRNKWHT3jILLYWyyrgd0HuBcssoqwX6g7bsVfYOI4EkELL3tJ3EjuMVT8nylH5/OHaQ7CQess458uv5ePRBz9HR0SfKyfHb33VsPp/PJwAAAMAgdqMLAAAAQP9GIAUAAIChCKQAAAAwFIEUAAAAhiKQAgAAwFAEUgAAABiKQAoAAABDEUgBAABgKAIpAAAADEUgBQAAgKEiQ/VB... | math-reasoning | {
"ground_truth": "$g(x)=\\ln x+4$",
"style": "rule"
} | {
"answer": "$g(x)=\\ln x+4$",
"index": 36,
"question": "The graphs of logarithm function $f(x)=\\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The function $f(x)=5 x-x^2$ in blue gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ in red gives the number of bats (in millions). In both equations... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAErCAIAAAAaEXIXAACICElEQVR4nO19Z5hcxZX2W3VTp8lZo5xzQkhIQggQORhMsHHGXtjFJpj1t+vEGsdd4wALNja2YZ2wjW3AYAwmSCAEEijnnNPkPB1vqvp+3O6ezn27p2c0EvM+80Cru8KpcCqcOoFwzjFosKoisV+x6NcATfxxGMM4V0DPNAHDGMYHAmRw9jQOBoAMM/YwPqgYnvrDGMZgYJD2tGEM4wOO4T1tGMMYDAxz2jCGMRgYZE5jAAM3AGYCJiwBP+PW... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 37,
"question": "The function $f(x)=5 x-x^2$ in blue gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ in red gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). $g(x)$ goes through (0,0), (3,6), (6,0) and opens downward. $f(x)$ in blue goes through (0,0), (2,6), (3,6), (5,0) and opens downsward. When there is $0 \\mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?\nRound your answer to the nearest half centimeter.\n",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: In the diagram, the solid is 3 cm thick. The edge is 9 cm and the angle is 45°. Calculate the volume of the solid, correct to one decimal places. You FIRST think about the reasoning process as a... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAl0AAAFrCAYAAADrSTwGAAAAAXNSR0IArs4c6QAAAFBlWElmTU0AKgAAAAgAAgESAAMAAAABAAEAAIdpAAQAAAABAAAAJgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAACXaADAAQAAAABAAABawAAAAAp+vDyAAABWWlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40... | math-reasoning | {
"ground_truth": "Volume $=89.1 \\mathrm{~cm}^{3}$",
"style": "rule"
} | {
"answer": "Volume $=89.1 \\mathrm{~cm}^{3}$",
"index": 38,
"question": "In the diagram, the solid is 3 cm thick. The edge is 9 cm and the angle is 45°. Calculate the volume of the solid, correct to one decimal places.",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure, there are four lines intersect at four points. Two pairs of lines are parallel to each other. m \\angle 1 = 123. Find the measure of \\angle 14.\nChoices:\nA:47\nB:57\nC:6... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWkAAAFKCAYAAADfQ67WAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 39,
"question": "In the figure, there are four lines intersect at four points. Two pairs of lines are parallel to each other. m \\angle 1 = 123. Find the measure of \\angle 14.\nChoices:\nA:47\nB:57\nC:67\nD:123",
"split": "test",
"task": "Text Dominant"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the sam... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARkAAAEdCAIAAAC344RWAAB80klEQVR4nO19d5hkRfX2W3Xv7dw9Mz1xc2IDaZfMIoukJSpi+AQBAUVQEFAQkKQo/FCSCgisSFJQggEFlSxJwi55YdllYXOaPD3TufuGqu+P6r7TuW/39ITdnffZB3q669Y9VXVOnapT59QhnHOMYxxDAOecEFLpTzseyLgsjWMcNQEdbQLGscOBAzvl/DwuS+MYLuxsS57xNd44xlEbyKNNwDh2DDCAgQOgAAUHSBKATuwMUICdwf4wvsYb... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 40,
"question": "f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the same maximum.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, a parallel b, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40°\nD:60° You FIRST think about the reasoning process as an internal monologue and t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAABjCAAAAACgII1eAAAa90lEQVR4nMV7e7BlaVXfb631fXufc8999e3HdM9MzwAqAspDjEQJIUpEB1Si0QQ1kRhfiQaTGI3xGSsV1Cq1KmpMhJSWKCSYYGI0EomYogiCUOKAwPBwZBgdZnr6dvft+zrn7L2/b61f/tinZ7CVqqmeRr+6d//u/s4++679Pdbjt9YW4i+pdRNU89S3WE4PNz/RVfoXKdKfal0tHeJKx4Pph9O7PtFVyr+ktkTKfsST1m1c/I07XvKq6z9f... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 41,
"question": "As shown in the figure, a parallel b, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40°\nD:60°",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Two shorter rays are parallel. Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8 You FIRST think about the reasoning process as an internal monologue and then provide the final answer... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaoAAADKCAYAAAD0DAQYAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 42,
"question": "Two shorter rays are parallel. Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is an isosceles triangle with side length 32. The base angle is 54 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0 You FIRST think about the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAADACAYAAAAp+K7LAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 43,
"question": "There is an isosceles triangle with side length 32. The base angle is 54 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAboAAAGfCAYAAAAplhcAAAAv3UlEQVR4nO3dd3Rc5aHv/e+erjbq3b0g23Kv4IYxoRNeEkpICBBCTT3lfc/NeVfeu9Zdd911z7kn52aR8iaB0AKB0ELvxbgIG4yLbOReJUtWL6MZjWZGM7PvHzLGxgaMUWEe/T5r5R8ha+0na2Z/97P3s/e2bNu2ERERMZRjuDdARERkMCl0IiJiNIVORESMptCJiIjRFDoRETGaQiciIkZT6ERExGgKnYiIGE2hExERoyl0IiJiNIVORESM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 44,
"question": "Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed wi... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEECAYAAAAGSGKZAAA0BklEQVR4nO3de1iUZf7H8TcNqBCieMIDKgoCKp4FTU3dyrQsTU1LS9NCd7d0+7mma2WpW7amGZlWW+bZNDW1soOnNjXPIqLgCVFRB00REASGkRnm98foCDjAzDDDnL6v6+q6GpgZbgSez/Pc9/O9vx46nU6HEEIIYaYH7D0AIYQQzkkCRAghhEUkQIQQQlhEAkQIIYRFJECEEEJYRAJECCGERSRAhBBCWEQCRAghhEUkQIQQQlhEAkQIIYRF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 45,
"question": "Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAAFQCAIAAACnDfsiAABvcElEQVR4nO19d3xcxdn1mblti6old4ONwRRjTIcAAUIvAWxDyJdGAnlDCxDSG6SQhCSEN6SQhARIgDeEhBJqKr1jei+2ca+SJe1q+y0z8/0xu6vd1Upa7c7KK+uen38gXe0+97l35plnypkzRAiBaiG/SYqucSEEIVrVNn348FE1qFpzQghCyMif8+HDRx1AasnPtaBsbgegvInx4WPiwA8eHz62H4w6nkUutVb3yXx3gJQmZ+mM37748FE9... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 46,
"question": "Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden increases, what does its possible length approach?\nChoices:\nA:$\\infty$\nB:$\\hline 0$\nC:$\\hline 10$\nD:$\\hline 120$",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Now find the distance x-y between the two sightings.\n\nRound your answer to the nearest metre. You FIRST think about the reasoning process as an internal monologue and then provide the final an... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAEFAWoDASIAAhEBAxEB/8QAHwABAQEAAwEBAAMBAAAAAAAAAAgJBgcKBQQBAgML/8QAQhAAAQMEAgAACwcC... | math-reasoning | {
"ground_truth": "675 m",
"style": "rule"
} | {
"answer": "675 m",
"index": 47,
"question": "Now find the distance x-y between the two sightings.\n\nRound your answer to the nearest metre.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In triangle A B C, A B = x, B C = 16. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3 You FIRST think about the reasoning process as an internal monologue an... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT8AAAHRCAYAAAAc6L5ZAAABRWlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 48,
"question": "In triangle A B C, A B = x, B C = 16. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AB parallel CD, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\nA:\\frac{6}{5}\nB:\\frac{7}... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJwAAABuCAAAAAD3iSWDAAAHfElEQVR4nM1bW2wUVRj+zuylUIn4UKQJCyhoLNQQJCRoMGBStBCIIYGEmwQwQolgbEgwELkUiEaiGDQ0QPRheUDAaEqilG60SSsXW2mCGLA10kKzawRphGqr3Z2d+X2Y2fvczszZ1i/ZnZ0z//nn2/9yrjMgoVgFANtEaZMgFJ/taaTEt/VEQrQJJkc35yPwcg9jQrQJJvfbn6WE7imCtAkm17wEbO+FDWK8KppcZCtjP0RLxXgVfjFqdMTu... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 49,
"question": "As shown in the figure, AB parallel CD, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\nA:\\frac{6}{5}\nB:\\frac{7}{6}\nC:\\frac{9}{5}\nD:\\frac{15}{2}",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A square prism has a side $GF$ of length 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n You FIRST think about the reasonin... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAGvCAYAAAANGvDkAACv3UlEQVR4nOzdd3ic9Znv//f0Io1mRtKojHq3JFvuFdu4gA3GFDs2xUBOICEhZ9mzG8jyS/Y6SciePckmG9hyNlmSTQ5JyG5CDCSEXmyDGza4YGHJsiXZ6r1rNJo+vz985omEbXCRNCr367pyRRo9M7pHeEa3vs/nub+qcDgcRgghhBBCCDGpqKNdgBBCCCGEEOJC0qgLIYQQQggxCUmjLoQQQgghxCQkjboQQgghhBCTkDTqQgghhBBCTELS... | math-reasoning | {
"ground_truth": "$y=21.61$",
"style": "rule"
} | {
"answer": "$y=21.61$",
"index": 50,
"question": "A square prism has a side $GF$ of length 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find A B if \\triangle A B C is an isosceles triangle.\nChoices:\nA:3\nB:4\nC:7\nD:11 You FIRST think about the reasoning process as an internal monologue and then provide the final ans... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAggAAAHWCAYAAAASIHGhAABvTklEQVR4nO3993Oj+X23e14AcwaYcyY755zIDpM0mtFIsmRJlpyqzj7Pnt0/YKv2h63aP2Frq/ac3XN87MeWJcuSpYkazUwnds45MudMRGYCuPeHG2Bods90MxN4v1yuUrU6oFsk8MGFb7AYhmEgIiIiMot1tR+AiIiIrD0aEERERGQeDQgiIiIyjwYEERERmUcDgoiIiMyjAUFERETm0YAgIiIi82hAEBERkXk0IIiIiMg8GhBERERkHg0I... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 51,
"question": "Find A B if \\triangle A B C is an isosceles triangle.\nChoices:\nA:3\nB:4\nC:7\nD:11",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100° You FIRST think about the reasoning process as an internal monolog... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABxCAAAAADtpeKjAAAKlklEQVR4nM1af2ybxRl+PrdZRuvxMXCpN8xcFgMuQV0gBboRKe0IWqYWLYiw0BFpmSiKtmhalmVbmCoMUpE6DYmg5Y+iCtWVMpGNjDINSjoS6rAIZUq1VJDOieKoGU5XV9kkV0k3z5/7Pfvj/Nnfj/OPOPljj6L4u/d+PHfv3b13994pRHm4en72cgRYuETAV4Oqh3131rvLzAtAKYdn6YP3I5cbbq95wI0dfgB/X8Tq1EJ8wrevqWn7RvHM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 52,
"question": "As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The graph shows an angle $a$ in standard position with its terminal side intersecting the figure at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$.\n\nFind the value of $\\cos a$.\n You FIRST... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmEAAAHvCAYAAAAcpwh+AABj7ElEQVR4nO3dd1xV9ePH8ReJxlQRJ+4JmntvzAXmnqlpZa7K0tJSK21aamWZNsyG5t655bpnDpw5ce+FAxUETeX3B1/OD5qgwOdy7/v5ePjonHMv8Pb79V7e93PO+XxcYmNjYxERERGRNPWY6QAiIiIizkglTERERMQAlTARERERA1TCRERERAxwNR0A4MTpMyxft4H9YYe5FRllOo6IiEi64u3lyRP+JWgcWIfCBfKbjiNJ5GL67sgNW0OZ... | math-reasoning | {
"ground_truth": "$-\\frac{21}{29}$",
"style": "rule"
} | {
"answer": "$-\\frac{21}{29}$",
"index": 53,
"question": "The graph shows an angle $a$ in standard position with its terminal side intersecting the figure at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$.\n\nFind the value of $\\cos a$.\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5} You FIRST think about the reasoning process as an internal mo... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABUCAAAAABmEcBUAAAEwUlEQVR4nM2aS2gbRxjH/6MUTyCG1NQhLg3YsdUoLaFR8SEKPTgtlCiXJKU9+tJC7dBDjAlE1k095UHbRIeEgA19EGjdhDr00PoBjXOqbop6aKxiUQmTgltRmjgFrR/79TCrfUir1WN3dvtH0uzMjnZ+mvm++WZHC/wPxEBBIwChQFs/wxhjdwFQgFJPf0s/IhtsT2wXTuFw0MPx0xvdmBiLBjscNwDkiILtiaUc3Tj6MNjhKP7zGj6MLAYL... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 54,
"question": "As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: They each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAAAAAC7PATWAAAJkElEQVR4nLWZe1wU1xXHf/fOrCuCoknXlpREw8d+fL9IUXwlQnzFGGM+qe3n05hiagwSBYnERVGDgCgvUUTxRaKo8RU1vqpNTKza6kcb89L6tqgRpYUmahZc9jFz+sfM7s7uzu6iiecPPjvn3vnOueeec+bcgREekfBHBX6EZBGAszGshSSJkAhEEojICYCIERhjxCADgEwACQYAYADISQT6zsoZv9fEwSwNAJPtDhlC5JBOClk+uOOuXXZC... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 55,
"question": "They each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure, it is ()\nChoices:\nA:12cm\nB:24cm\nC:36cm\nD:48cm",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAEtCAIAAADvE8DfAAB6pklEQVR4nO19d5wUVdb2c29VdffkDMzAkIPkDKJgAFHMGQMGQMWI7r677qq7fu6aXbMgZoKYQMScJUuQLDnnyXl6ejpU1b3fH9Xd07lrenqGQev5va87VJ8699xw6txw7jmEc47GgQEAaLifOeeEkNjeNWDAQPzVI7xCGjBgIDpI4+0kAGjvRFY+PTQGDBgIQAtNI2PTfAMG/oSI0U42Bwy7asAAmslOcs4BBigAAwe49h+0Fu03YKAVo9E6... | math-reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 56,
"question": "Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. When do the accounts have the same balance?\nRound your answer to the nearest integer. \n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Calculate the area of the following triangle.\n\nRound your answer to two decimal places. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCACiAMkDASIAAhEBAxEB/8QAHQABAQEBAQEBAQEBAAAAAAAAAAgJBwYFBAMKAf/EACoQAAICAwEBAAEDBAMB... | math-reasoning | {
"ground_truth": "60.21 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "60.21 \\mathrm{m}^2",
"index": 57,
"question": "Calculate the area of the following triangle.\n\nRound your answer to two decimal places.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Calculate the area of the following figure, correct to one decimal place. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning pr... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAH0CAYAAACXauFfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEpISURBVHhe7d1ntFTllvb9/nY+9Zenezzvhx6jz0FEFAUFQUVBRBBEVBRQFMkgGURylJxzEFCCBBUkIyioJMk5b3Jmk3POzPdc81lFw2mQtKv2qqr/b4w1jq5VBDnsXVfd97zn/DcDAABAKBDMAAAAQoJgBgAAEBIEMwAAgJAgmAEAAIQEwQwAACAk... | math-reasoning | {
"ground_truth": "Area $=9.4 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Area $=9.4 \\mathrm{~cm}^{2}$",
"index": 58,
"question": "Calculate the area of the following figure, correct to one decimal place.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?\nChoic... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAEgCAYAAAAdeyQiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAFZPSURBVHhe7d1nszRXef3/ESLnDAIkJKF0gwjGUBRVfugHflm/V2RcZbvKqYzLlI2hTJKsiCISQeScw59PW+v+X7TnnLnDOec+M2d9q67qnu7du3f33j2zVu/dPTf94Y9sSimllFJKKeUYXvLitJRSSimllFKOpMahlFJKKaWUspMah1JKKaWUUspO... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 59,
"question": "In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?\nChoices:\nA.Ten\nB.Nine\nC.Eight\nD.Seven\nE.Six",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function You FIRST think about the reasoning process as an in... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHQCAIAAACjrc0xAAEAAElEQVR4nOz9aZAc2XUfjt7MrH3furq6et/QQDcaOzAEZiM5wyFFiaQkypQfKf/tCIVkWSFHWKOh9EV2hCIctkMOO/T39vwsyhIlm6JIzgxnxcxgMNgbDaABNIDe97W6q7r2PSuX+z4c9GUis6q6uisLC1m/mMB0ZmWee/Iu5557zr3nUBhjVEcdddRRR21AP2kG6qijItS1gTqeUdSFbB1PF0oJU4qiHjMnddShCupCto4nBqk8hb8xxlJh... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 60,
"question": "Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$ You FIRST think about the reasoning process as an internal monologue and then provide ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAv0AAAJWCAYAAADLHTg5AAB8vElEQVR4nO3dd1yV5f/H8TeggANFxT1xT1yI4R6gOdIEW9oAc6Vl+W1nZtm3ZcPSSi0HlW3FtLQScnxNcYt7YKLhwtwL2b8//Hl3DihL4D7n8Ho+Hjy6r+vc9zkfNM/9Pte57ut2Sk9PTxcAAAAAh+VsdgEAAAAAChahHwAAAHBwhH4AAADAwRH6AQAAAAdH6AcAAAAcHKEfAAAAcHCEfgAAAMDBEfoBAAAAB0foBwAAABwcoR8AAABwcIR+... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 61,
"question": "What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The length of BC side is 10 cm.\nCalculate the area of the divider correct to two decimal places, using your rounded answer from the previous part. You FIRST think about the reasoning process as... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXYAAADUCAYAAACI/Qg0AAAAAXNSR0IArs4c6QAAAFBlWElmTU0AKgAAAAgAAgESAAMAAAABAAEAAIdpAAQAAAABAAAAJgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABdqADAAQAAAABAAAA1AAAAAABnkcQAAABWWlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40... | math-reasoning | {
"ground_truth": "75.15 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "75.15 \\mathrm{m}^2",
"index": 62,
"question": "The length of BC side is 10 cm.\nCalculate the area of the divider correct to two decimal places, using your rounded answer from the previous part.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Below is the graph of a trigonometric function. What is the amplitude of the function?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. T... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAEUCAIAAAC6XCQxAAB320lEQVR4nO19d5xkRdX2U3Vvp8kznSaHzYFdWFiSSBZUVOBVzAmQV0U/xYjKq77mhGIkKYi+IIpIlKAiOcMuy7Isy8aJnbsn9XRPd997q74/qrvndprpNAGc58dPZ7tv1z0VTtWpU+c8RTjnWEalYAAAushSLGOesdzBy1hGsZAXW4DXNsTKTAgFALFIk8WUZxnzimVtqQiE6JSDc5BlXXk9gyzvW8oF0/29bND+R2B5bSkPDFAAACYAYAyA... | math-reasoning | {
"ground_truth": "3.15",
"style": "rule"
} | {
"answer": "3.15",
"index": 63,
"question": "Below is the graph of a trigonometric function. What is the amplitude of the function?\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the line a parallel b, angle 1 = 50.0, then the degree of angle 2 is ()\nChoices:\nA:150°\nB:130°\nC:100°\nD:50° You FIRST think about the reasoning process as a... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAABpCAAAAADjZ7VBAAAHcElEQVR4nNVbfWxW5RX/nacOiVkGf2DA8LIiJRuKg4bAMAPG4iDWyYQRm1aiGSYuxthMB002naMjsKibZJLOsQWWtWbJiBbFhTnUacpMCBuLigmtS2pF+oJ8JNtYywJt7/ntj3vf7/vR+7z39nW/pn3vx/Oc+3vPc855znOeWyE+nTC1JhCE/yNip0Se9g4J1GykK4i99uXhjwYBgIAAMvmUXEiJSojxL+1vzJ/VjBXKNSby5urGPNVa8qoY... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 64,
"question": "As shown in the figure, the line a parallel b, angle 1 = 50.0, then the degree of angle 2 is ()\nChoices:\nA:150°\nB:130°\nC:100°\nD:50°",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72 You FIRST think about the reasoning process as an internal monologue and... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAD/CAYAAAD8HRNnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 65,
"question": "In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Let $f$ be the function given by the following graph. What is the domain of $f$? \n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The re... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA2AAAAGYCAYAAAAkzIH5AAEAAElEQVR4nOz9Z3BcaZrfC/7Te++QMAkkDEkAJAiCJECQrOoy3VVtiu00fXtmNZKmQz2SQiEpbty7G6vYjf2gbxMKRUir0Yzm3omNuzHTs91dfUfTplyTVWTRG4DwPuFdZiKR3mcesx9Q78s8AMgiWCQB8JxfRMX01CkAz3nP87zv87r/I0sWOR4SEhISEhISEhISEhISLxz5fhsgISEhISEhISEhISEhFpQAYFbL9tsOCYkt2ALYtU/w//6P... | math-reasoning | {
"ground_truth": "$[-5,-3) \\cup(-3,5]$",
"style": "rule"
} | {
"answer": "$[-5,-3) \\cup(-3,5]$",
"index": 66,
"question": "Let $f$ be the function given by the following graph. What is the domain of $f$? \n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Estimate the intervals on which the function is increasing or decreasing.\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAG0CAIAAADYSDVWAADyhElEQVR4nOz9WZAl13kein7/ytzzWPPUVdUzGg00JgIEQZAgQZEgBZKiTOlaPrpShCU5jsOypThx/HDDPvKTIxzhIe6RQw/HDllH8pUl8ZCiLFGkQFKUwAkAwQbQ6Eaju9FzzfOep5zWfx/W3llZu3ZV17BrV3V1flFoZO3KnWvItb71r39axMzw4cOHDx8NiP2ugA8fPnwcLPi06MOHDx9r4NOiDx8+fKyBT4s+fPjwsQY+Lfo46FBWQWZ2... | math-reasoning | {
"ground_truth": "The function is increasing on (-\\infty,-2.5) \\cup(1, \\infty), and decreasing on (-2.5,1)",
"style": "rule"
} | {
"answer": "The function is increasing on (-\\infty,-2.5) \\cup(1, \\infty), and decreasing on (-2.5,1)",
"index": 67,
"question": "Estimate the intervals on which the function is increasing or decreasing.\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: The graph shows Bart's speed while he is competing in a walking race. Which situation corresponds to the graph?\nChoices:\nA:Bart increases his speed for the first half of the race and t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAHzCAYAAAA5J/n9AABFfElEQVR4nO3dd3hUVeLG8TchpBBK6D0RkSKCgBMQRIoiILjYkF9GFEEWBSwoCipKEBsiiAVXRbAgUiYugmJBBBFEkDI0kUiRpfdgAqQnJL8/WGcJhDJk7pyZyffzPPss99zJnTfjJLzce+6ZoPz8/HwBAADgogSbDgAAAOBPKE8AAABuoDwBAAC4gfIEAADgBsoTAACAGyhPAAAAbggxHeBvO3bv0Q9LlmrTlq06kZpmOg4AAH6lTOlIXdWg... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 68,
"question": "The graph shows Bart's speed while he is competing in a walking race. Which situation corresponds to the graph?\nChoices:\nA:Bart increases his speed for the first half of the race and then slows in the second half\nB:Bart starts off by increasing his pace gradually and then maintains a constant speed\nC:Bart starts off at a constant speed and then increases his speed at a steady rate\nD:Bart increases his speed at a constant rate throughout the entire race",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above, if r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?\nChoices:\nA.45\nB.50\nC.65\nD.75\nE.It cannot be determined from the information given You F... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApAAAAKjCAYAAACqWz9TAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAP+lSURBVHhe7N33911Xfef/QwgkJEDAxrj3Kku2JcuWZNmWbbliIBBDzAwlgUySlZn8lP9g/oD5cVYymawvK0AmBBJTjI2LLMlNxUWSLXe54gKmGwKEkvLlsfHbuf740+5Hn3LL67nWWbede+65p+z92u+2X/cfv6QLIYQQQghhlvzay48hhBBCCCHM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 69,
"question": "In the figure above, if r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?\nChoices:\nA.45\nB.50\nC.65\nD.75\nE.It cannot be determined from the information given",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the value of h to the nearest metre. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <t... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAD0AXwDASIAAhEBAxEB/8QAHwABAAICAwEBAQEAAAAAAAAAAAcIBgkEBQoDAgsB/8QAVBAAAQQDAAEBAwQJ... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 70,
"question": "Find the value of h to the nearest metre.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p? You FIRST think about the reasoning process as an interna... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA7gAAAIoCAYAAABDKEesAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAP+lSURBVHhe7P0HgBznYd/9/7Ze770X3B1wh94BAiDYSZGULFm9WJLtvHLiOE4cO+198yZO3jd5/Xccx45kyZJluUiWZFVS7AW993rAHYDrvfft5f/M3oEESIBNAAkOvx9iuLuzM7PzPDu3O799Zp5xxA0BAAAAAPA+51y4BQAAAADgfY2ACwAAAACw... | math-reasoning | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 71,
"question": "The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p?",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function You FIRST think about the reasoning process as an in... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAHTCAIAAADH5aTmAAEAAElEQVR4nOz9Z5AkyXEgjEZkltayu6q1nO7RelZjAS4WRxAACcHD0UDje3wf3/Ej+fGdGRfAw48T7/7cmZ3x7Ix2Zkc7uyPvw/GOAEkssLvY3VkxOzs7Wsue1t3TWlR3aZ0y3g+fjs3JrMqu7s4aAZbb2mxnZaaHZ4SHh4e7hzsmhKAGNKABDWhAHYB50gQ0oAENaMCvLDQkbAMa0IAG1AsaErYBDWhAA+oFDQnbgAY0oAH1goaEbUADGtCA... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 72,
"question": "Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the following diagram.Hence, find the length of AB correct to two decimal places. You FIRST think about the reasoning process as an internal monologue and then provide the final answer.... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAC/AWMDASIAAhEBAxEB/8QAHQABAAMBAQEBAQEAAAAAAAAAAAcICQoFBgMEAv/EADUQAAEEAgIBAQcEAQQA... | math-reasoning | {
"ground_truth": "18.05",
"style": "rule"
} | {
"answer": "18.05",
"index": 73,
"question": "Consider the following diagram.Hence, find the length of AB correct to two decimal places.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80° You FIRST think about the reasoning proc... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABzCAAAAACgbUOoAAAKq0lEQVR4nNVab2xbVxU/L4W9D3NnIV5WT30jG/GooVJnEaZmrJVTKR+iaeqClOJKyyCdpgRUYJ4atEzqZIEKM6IfgrSWdNVYkDph1m4eowhXyqiLOogUVHcoWzrmLpmcri6ewJs77aV1748P9/257/n9sT2BxFGb53fvue93zrn3nnvPuVcCtU6QTm2It8EvUFc7zNL1xzpDaQcHRLT/C9H/Oo5EdDj+focwbdltpX5vd+h/gPPzJ+hLHcK0... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 74,
"question": "As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: What is the slope of the line?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAH1CAYAAADCjDVaAABf/0lEQVR4nO3deXAbV54n+C+AJAHwEsFTJC3RtkqHZck6SIn3IVEuH2VZJVdNV1u1sz3bU9PR65mYmJ6ejt3+Y6diZmNitnt6pid6Yys6qid6pyd2XF011Xa7XGVZEk9RtOSiRFEXraNkmYdEkSAJEGdmAkjsHxTSoETxEpEPIL6fiIqCgQTfT8BD4ovMl++ZotFoFERERERJwCy6ACIiIqIYBhMiIiJKGgwmRERElDQYTIiIiChpMJgQERFR... | math-reasoning | {
"ground_truth": "slope =-4",
"style": "rule"
} | {
"answer": "slope =-4",
"index": 75,
"question": "What is the slope of the line?\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The logarithm function $f(x)=\\ln x$ and logarithm function $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n You FIRST think about the reasoning process as an inter... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqQAAAIxCAYAAACb7apZAABqrElEQVR4nO3dd3xb9b3/8bfkKVvejp3hJE6cvQdhBEhCKZRNKWHT3jILLYWyyrgd0HuBcssoqwX6g7bsVfYOI4EkELL3tJ3EjuMVT8nylH5/OHaQ7CQess458uv5ePRBz9HR0SfKyfHb33VsPp/PJwAAAMAgdqMLAAAAQP9GIAUAAIChCKQAAAAwFIEUAAAAhiKQAgAAwFAEUgAAABiKQAoAAABDEUgBAABgKAIpAAAADEUgBQAAgKEiQ/VB... | math-reasoning | {
"ground_truth": "$g(x)=\\ln x+4$",
"style": "rule"
} | {
"answer": "$g(x)=\\ln x+4$",
"index": 76,
"question": "The logarithm function $f(x)=\\ln x$ and logarithm function $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAErCAIAAAAaEXIXAACICElEQVR4nO19Z5hcxZX2W3VTp8lZo5xzQkhIQggQORhMsHHGXtjFJpj1t+vEGsdd4wALNja2YZ2wjW3AYAwmSCAEEijnnNPkPB1vqvp+3O6ezn27p2c0EvM+80Cru8KpcCqcOoFwzjFosKoisV+x6NcATfxxGMM4V0DPNAHDGMYHAmRw9jQOBoAMM/YwPqgYnvrDGMZgYJD2tGEM4wOO4T1tGMMYDAxz2jCGMRgYZE5jAAM3AGYCJiwBP+PW... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 77,
"question": "The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \\mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?\nRound your answer to the nearest half centimeter.\n",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The solid is 3 cm thick. Calculate the volume of the solid, correct to one decimal places. You FIRST think about the reasoning process as an internal monologue and then provide the final answer.... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAl0AAAFrCAYAAADrSTwGAAAAAXNSR0IArs4c6QAAAFBlWElmTU0AKgAAAAgAAgESAAMAAAABAAEAAIdpAAQAAAABAAAAJgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAACXaADAAQAAAABAAABawAAAAAp+vDyAAABWWlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40... | math-reasoning | {
"ground_truth": "Volume $=89.1 \\mathrm{~cm}^{3}$",
"style": "rule"
} | {
"answer": "Volume $=89.1 \\mathrm{~cm}^{3}$",
"index": 78,
"question": "The solid is 3 cm thick. Calculate the volume of the solid, correct to one decimal places.",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Two pairs of lines are parallel to each other. In the figure, m \\angle 1 = 123. Find the measure of \\angle 14.\nChoices:\nA:47\nB:57\nC:67\nD:123 You FIRST think about the reasoning p... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWkAAAFKCAYAAADfQ67WAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 79,
"question": "Two pairs of lines are parallel to each other. In the figure, m \\angle 1 = 123. Find the measure of \\angle 14.\nChoices:\nA:47\nB:57\nC:67\nD:123",
"split": "test",
"task": "Text Lite"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the sam... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARkAAAEdCAIAAAC344RWAAB80klEQVR4nO19d5hkRfX2W3Xv7dw9Mz1xc2IDaZfMIoukJSpi+AQBAUVQEFAQkKQo/FCSCgisSFJQggEFlSxJwi55YdllYXOaPD3TufuGqu+P6r7TuW/39ITdnffZB3q669Y9VXVOnapT59QhnHOMYxxDAOecEFLpTzseyLgsjWMcNQEdbQLGscOBAzvl/DwuS+MYLuxsS57xNd44xlEbyKNNwDh2DDCAgQOgAAUHSBKATuwMUICdwf4wvsYb... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 80,
"question": "f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the same maximum.",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40°\nD:60° You FIRST think about the reasoning process as an internal monologue and then provide th... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAABjCAAAAACgII1eAAAa90lEQVR4nMV7e7BlaVXfb631fXufc8999e3HdM9MzwAqAspDjEQJIUpEB1Si0QQ1kRhfiQaTGI3xGSsV1Cq1KmpMhJSWKCSYYGI0EomYogiCUOKAwPBwZBgdZnr6dvft+zrn7L2/b61f/tinZ7CVqqmeRr+6d//u/s4++679Pdbjt9YW4i+pdRNU89S3WE4PNz/RVfoXKdKfal0tHeJKx4Pph9O7PtFVyr+ktkTKfsST1m1c/I07XvKq6z9f... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 81,
"question": "As shown in the figure, angle 1 = 50.0, then angle 2 = ()\nChoices:\nA:50°\nB:130°\nC:40°\nD:60°",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaoAAADKCAYAAAD0DAQYAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 82,
"question": "Find y in the figure.\nChoices:\nA:5\nB:6\nC:7\nD:8",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is a triangle with side length 32. The base angle is 54 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0 You FIRST think about the reasoning ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAADACAYAAAAp+K7LAAABRGlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 83,
"question": "There is a triangle with side length 32. The base angle is 54 degrees. Find x. Round to the nearest tenth.\nChoices:\nA:18.8\nB:23.2\nC:25.9\nD:44.0",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAboAAAGfCAYAAAAplhcAAAAv3UlEQVR4nO3dd3Rc5aHv/e+erjbq3b0g23Kv4IYxoRNeEkpICBBCTT3lfc/NeVfeu9Zdd911z7kn52aR8iaB0AKB0ELvxbgIG4yLbOReJUtWL6MZjWZGM7PvHzLGxgaMUWEe/T5r5R8ha+0na2Z/97P3s/e2bNu2ERERMZRjuDdARERkMCl0IiJiNIVORESMptCJiIjRFDoRETGaQiciIkZT6ERExGgKnYiIGE2hExERoyl0IiJiNIVORESM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 84,
"question": "Find x.\nChoices:\nA:60\nB:80\nC:90\nD:120",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed wi... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEECAYAAAAGSGKZAAA0BklEQVR4nO3de1iUZf7H8TcNqBCieMIDKgoCKp4FTU3dyrQsTU1LS9NCd7d0+7mma2WpW7amGZlWW+bZNDW1soOnNjXPIqLgCVFRB00REASGkRnm98foCDjAzDDDnL6v6+q6GpgZbgSez/Pc9/O9vx46nU6HEEIIYaYH7D0AIYQQzkkCRAghhEUkQIQQQlhEAkQIIYRFJECEEEJYRAJECCGERSRAhBBCWEQCRAghhEUkQIQQQlhEAkQIIYRF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 85,
"question": "Find D E.\nChoices:\nA:3\nB:4\nC:6\nD:9",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAAFQCAIAAACnDfsiAABvcElEQVR4nO19d3xcxdn1mblti6old4ONwRRjTIcAAUIvAWxDyJdGAnlDCxDSG6SQhCSEN6SQhARIgDeEhBJqKr1jei+2ca+SJe1q+y0z8/0xu6vd1Upa7c7KK+uen38gXe0+97l35plnypkzRAiBaiG/SYqucSEEIVrVNn348FE1qFpzQghCyMif8+HDRx1AasnPtaBsbgegvInx4WPiwA8eHz62H4w6nkUutVb3yXx3gJQmZ+mM37748FE9... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 86,
"question": "Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden increases, what does its possible length approach?\nChoices:\nA:$\\infty$\nB:$\\hline 0$\nC:$\\hline 10$\nD:$\\hline 120$",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Now find the distance x-y between the two sightings.\n\nRound your answer to the nearest metre. You FIRST think about the reasoning process as an internal monologue and then provide the final an... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCAEFAWoDASIAAhEBAxEB/8QAHwABAQEAAwEBAAMBAAAAAAAAAAgJBgcKBQQBAgML/8QAQhAAAQMEAgAACwcC... | math-reasoning | {
"ground_truth": "675 m",
"style": "rule"
} | {
"answer": "675 m",
"index": 87,
"question": "Now find the distance x-y between the two sightings.\n\nRound your answer to the nearest metre.",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In triangle A B C, A B = x, B C = 16. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3 You FIRST think about the reasoning process as an internal monologue an... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT8AAAHRCAYAAAAc6L5ZAAABRWlDQ1BJQ0MgUHJvZmlsZQAAKJFjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 88,
"question": "In triangle A B C, A B = x, B C = 16. Find x. Round to the nearest tenth.\nChoices:\nA:5.8\nB:6.5\nC:14.2\nD:44.3",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\nA:\\frac{6}{5}\nB:\\frac{7}{6}\nC:\\frac{9}{... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJwAAABuCAAAAAD3iSWDAAAHfElEQVR4nM1bW2wUVRj+zuylUIn4UKQJCyhoLNQQJCRoMGBStBCIIYGEmwQwQolgbEgwELkUiEaiGDQ0QPRheUDAaEqilG60SSsXW2mCGLA10kKzawRphGqr3Z2d+X2Y2fvczszZ1i/ZnZ0z//nn2/9yrjMgoVgFANtEaZMgFJ/taaTEt/VEQrQJJkc35yPwcg9jQrQJJvfbn6WE7imCtAkm17wEbO+FDWK8KppcZCtjP0RLxXgVfjFqdMTu... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 89,
"question": "As shown in the figure, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\nA:\\frac{6}{5}\nB:\\frac{7}{6}\nC:\\frac{9}{5}\nD:\\frac{15}{2}",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A solid figure has a side $GF$ of length 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n You FIRST think about the reasonin... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAGvCAYAAAANGvDkAACv3UlEQVR4nOzdd3ic9Znv//f0Io1mRtKojHq3JFvuFdu4gA3GFDs2xUBOICEhZ9mzG8jyS/Y6SciePckmG9hyNlmSTQ5JyG5CDCSEXmyDGza4YGHJsiXZ6r1rNJo+vz985omEbXCRNCr367pyRRo9M7pHeEa3vs/nub+qcDgcRgghhBBCCDGpqKNdgBBCCCGEEOJC0qgLIYQQQggxCUmjLoQQQgghxCQkjboQQgghhBCTkDTqQgghhBBCTELS... | math-reasoning | {
"ground_truth": "$y=21.61$",
"style": "rule"
} | {
"answer": "$y=21.61$",
"index": 90,
"question": "A solid figure has a side $GF$ of length 15cm as shown.\n\nNow, we want to find $y$, the length of the diagonal $DF$.\n\nCalculate $y$ to two decimal places.\n",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find A B.\nChoices:\nA:3\nB:4\nC:7\nD:11 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed w... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAggAAAHWCAYAAAASIHGhAABvTklEQVR4nO3993Oj+X23e14AcwaYcyY755zIDpM0mtFIsmRJlpyqzj7Pnt0/YKv2h63aP2Frq/ac3XN87MeWJcuSpYkazUwnds45MudMRGYCuPeHG2Bods90MxN4v1yuUrU6oFsk8MGFb7AYhmEgIiIiMot1tR+AiIiIrD0aEERERGQeDQgiIiIyjwYEERERmUcDgoiIiMyjAUFERETm0YAgIiIi82hAEBERkXk0IIiIiMg8GhBERERkHg0I... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 91,
"question": "Find A B.\nChoices:\nA:3\nB:4\nC:7\nD:11",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100° You FIRST think about the reasoning process as an internal monolog... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABxCAAAAADtpeKjAAAKlklEQVR4nM1af2ybxRl+PrdZRuvxMXCpN8xcFgMuQV0gBboRKe0IWqYWLYiw0BFpmSiKtmhalmVbmCoMUpE6DYmg5Y+iCtWVMpGNjDINSjoS6rAIZUq1VJDOieKoGU5XV9kkV0k3z5/7Pfvj/Nnfj/OPOPljj6L4u/d+PHfv3b13994pRHm4en72cgRYuETAV4Oqh3131rvLzAtAKYdn6YP3I5cbbq95wI0dfgB/X8Tq1EJ8wrevqWn7RvHM... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 92,
"question": "As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The graph shows an angle $a$ in standard position with its terminal side intersecting the figure at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$.\n\nFind the value of $\\cos a$.\n You FIRST... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmEAAAHvCAYAAAAcpwh+AABj7ElEQVR4nO3dd1xV9ePH8ReJxlQRJ+4JmntvzAXmnqlpZa7K0tJSK21aamWZNsyG5t655bpnDpw5ce+FAxUETeX3B1/OD5qgwOdy7/v5ePjonHMv8Pb79V7e93PO+XxcYmNjYxERERGRNPWY6QAiIiIizkglTERERMQAlTARERERA1TCRERERAxwNR0A4MTpMyxft4H9YYe5FRllOo6IiEi64u3lyRP+JWgcWIfCBfKbjiNJ5GL67sgNW0OZ... | math-reasoning | {
"ground_truth": "$-\\frac{21}{29}$",
"style": "rule"
} | {
"answer": "$-\\frac{21}{29}$",
"index": 93,
"question": "The graph shows an angle $a$ in standard position with its terminal side intersecting the figure at $P\\left(-\\frac{21}{29}, \\frac{20}{29}\\right)$.\n\nFind the value of $\\cos a$.\n",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5} You FIRST think about the reasoning process as an internal mo... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABUCAAAAABmEcBUAAAEwUlEQVR4nM2aS2gbRxjH/6MUTyCG1NQhLg3YsdUoLaFR8SEKPTgtlCiXJKU9+tJC7dBDjAlE1k095UHbRIeEgA19EGjdhDr00PoBjXOqbop6aKxiUQmTgltRmjgFrR/79TCrfUir1WN3dvtH0uzMjnZ+mvm++WZHC/wPxEBBIwChQFs/wxhjdwFQgFJPf0s/IhtsT2wXTuFw0MPx0xvdmBiLBjscNwDkiILtiaUc3Tj6MNjhKP7zGj6MLAYL... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 94,
"question": "As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: They each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAAAAAC7PATWAAAJkElEQVR4nLWZe1wU1xXHf/fOrCuCoknXlpREw8d+fL9IUXwlQnzFGGM+qe3n05hiagwSBYnERVGDgCgvUUTxRaKo8RU1vqpNTKza6kcb89L6tqgRpYUmahZc9jFz+sfM7s7uzu6iiecPPjvn3vnOueeec+bcgREekfBHBX6EZBGAszGshSSJkAhEEojICYCIERhjxCADgEwACQYAYADISQT6zsoZv9fEwSwNAJPtDhlC5JBOClk+uOOuXXZC... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 95,
"question": "They each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure, it is ()\nChoices:\nA:12cm\nB:24cm\nC:36cm\nD:48cm",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAEtCAIAAADvE8DfAAB6pklEQVR4nO19d5wUVdb2c29VdffkDMzAkIPkDKJgAFHMGQMGQMWI7r677qq7fu6aXbMgZoKYQMScJUuQLDnnyXl6ejpU1b3fH9Xd07lrenqGQev5va87VJ8699xw6txw7jmEc47GgQEAaLifOeeEkNjeNWDAQPzVI7xCGjBgIDpI4+0kAGjvRFY+PTQGDBgIQAtNI2PTfAMG/oSI0U42Bwy7asAAmslOcs4BBigAAwe49h+0Fu03YKAVo9E6... | math-reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 96,
"question": "Esteban's account balance can be modeled by $f(t)=1000 \\cdot e^{(0.08 t)}$ and Anna's account balance can be modeled by $g(t)=750 \\cdot e^{(0.12 t)}$, where $t$ is the number of years since they opened their accounts. When do the accounts have the same balance?\nRound your answer to the nearest integer. \n",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Calculate the area of the following triangle.\n\nRound your answer to two decimal places. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCACiAMkDASIAAhEBAxEB/8QAHQABAQEBAQEBAQEBAAAAAAAAAAgJBwYFBAMKAf/EACoQAAICAwEBAAEDBAMB... | math-reasoning | {
"ground_truth": "60.21 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "60.21 \\mathrm{m}^2",
"index": 97,
"question": "Calculate the area of the following triangle.\n\nRound your answer to two decimal places.",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Calculate the area of the following figure, correct to one decimal place. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning pr... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAH0CAYAAACXauFfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAEpISURBVHhe7d1ntFTllvb9/nY+9Zenezzvhx6jz0FEFAUFQUVBRBBEVBRQFMkgGURylJxzEFCCBBUkIyioJMk5b3Jmk3POzPdc81lFw2mQtKv2qqr/b4w1jq5VBDnsXVfd97zn/DcDAABAKBDMAAAAQoJgBgAAEBIEMwAAgJAgmAEAAIQEwQwAACAk... | math-reasoning | {
"ground_truth": "Area $=9.4 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Area $=9.4 \\mathrm{~cm}^{2}$",
"index": 98,
"question": "Calculate the area of the following figure, correct to one decimal place.",
"split": "test",
"task": "Vision Intensive"
} |
MathVerse | [
{
"content": "<image> Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above, a shaded polygon which has equal sides is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?\nChoices:\nA.Ten\nB.Nin... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAEgCAYAAAAdeyQiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAFZPSURBVHhe7d1nszRXef3/ESLnDAIkJKF0gwjGUBRVfugHflm/V2RcZbvKqYzLlI2hTJKsiCISQeScw59PW+v+X7TnnLnDOec+M2d9q67qnu7du3f33j2zVu/dPTf94Y9sSimllFJKKeUYXvLitJRSSimllFKOpMahlFJKKaWUspMah1JKKaWUUspO... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 99,
"question": "In the figure above, a shaded polygon which has equal sides is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?\nChoices:\nA.Ten\nB.Nine\nC.Eight\nD.Seven\nE.Six",
"split": "test",
"task": "Vision Intensive"
} |
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