scene_type large_stringclasses 10
values | data_source large_stringclasses 1
value | prompt listlengths 1 1 | ability large_stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
DifficultSpringMass | math_p_numeric | [
{
"content": "In a SpringMass system, 4 blocks are placed at -1.02, -0.83, 0.29 and 1.62 m on the table. They have masses 0.9, 0.94, 1.73 and 2.03 Kg respectively. These blocks are connected in series by springs (which may be initially stretched or compressed) of stiffness 139.82, 112.3 and 78.2 N/m respectivel... | math | {
"ground_truth": "1.6543612251060553e-24",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1331,
"json_index": null,
"split": "test"
} |
Rotation | math_p_numeric | [
{
"content": "A pendulum with a rope length of 1.16 m is attached to a fixed point in the ceiling on one end and a bob of mass 9.86 kg on the other end. The bob has an initial velocity of (0.18, 0.1) m/s in the horizontal plane, and the rope initially makes an angle of 2.21 degrees with the vertical. What is th... | math | {
"ground_truth": "9.835500254652905e-22",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1332,
"json_index": null,
"split": "test"
} |
DifficultOrbitalMotion | math_p_numeric | [
{
"content": "In a planetary system, a star with mass 3.06 M and radius 1.02 R is at the center. 2 planets orbit around the star in coplanar orbits. The planets have the following properties at a given time (lets say t=0): | Planet | Mass (M) | Radius (R) | Position (R) | Velocity (R/T) | |----------|----------... | math | {
"ground_truth": "2.118174265224116",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1333,
"json_index": null,
"split": "test"
} |
RigidBodyRotation | math_p_numeric | [
{
"content": "In a system, there are 1 rigid bodies, that rotate around a hinge joint. These rigid bodies are welded together, meaning they will always rotate together around the hinge. The rigid bodies are as follows: A cylinder called 'cylinder_0' has a mass of 1.81 kg. It has a radius of 0.28 and a height of... | math | {
"ground_truth": "0.17489982952427605",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1334,
"json_index": null,
"split": "test"
} |
DifficultOrbitalMotion | math_p_numeric | [
{
"content": "In a planetary system, a star with mass 3.64 M and radius 0.89 R is at the center. 1 planets orbit around the star in coplanar orbits. The planets have the following properties at a given time (lets say t=0): | Planet | Mass (M) | Radius (R) | Position (R) | Velocity (R/T) | |----------|----------... | math | {
"ground_truth": "4.976491186889455",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1335,
"json_index": null,
"split": "test"
} |
DifficultOrbitalMotion | math_p_numeric | [
{
"content": "In a planetary system, a star with mass 4.11 M and radius 1.15 R is at the center. 1 planets orbit around the star in coplanar orbits. The planets have the following properties at a given time (lets say t=0): | Planet | Mass (M) | Radius (R) | Position (R) | Velocity (R/T) | |----------|----------... | math | {
"ground_truth": "3.155688264951202",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1336,
"json_index": null,
"split": "test"
} |
DifficultSpringMass | math_p_numeric | [
{
"content": "In a SpringMass system, 4 blocks are placed at -1.23, -0.11, 0.38 and 1.12 m on the table. They have masses 1.97, 2.41, 0.51 and 2.19 Kg respectively. These blocks are connected in series by springs (which may be initially stretched or compressed) of stiffness 91.8, 131.39 and 189.36 N/m respectiv... | math | {
"ground_truth": "0.0",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1337,
"json_index": null,
"split": "test"
} |
BasicCollision | math_p_numeric | [
{
"content": "A smooth table is inclined at an angle 15.76 degrees with the horizontal. There are multiple systems on this table. In a system called 'complexcollisionplane_0.mass-0', a block of mass 1.46 kg is placed at -8.93 m on the table. It is initially moving with a velocity of -0.11 m/s. In a system calle... | math | {
"ground_truth": "14.170211798841134",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1338,
"json_index": null,
"split": "test"
} |
DifficultProjectile | math_p_numeric | [
{
"content": "In a setup, a ball of mass 1.0 kg is thrown vertically downward. The ball is launched from an initial height of 1.76 m from the ground and it has an initial speed of 2.95 m/s. Assume that horizontal is +ve x axis and verticaly upwards in +ve y axis. The coefficient of restitution between the ball ... | math | {
"ground_truth": "3.807310396088648",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1339,
"json_index": null,
"split": "test"
} |
DifficultSpringMass | math_p_numeric | [
{
"content": "In a SpringMass system, 3 blocks are placed at -1.21, 0.14 and 0.95 m on the table. They have masses 2.24, 2.69 and 2.58 Kg respectively. These blocks are connected in series by springs (which may be initially stretched or compressed) of stiffness 75.47 and 185.38 N/m respectively. The natural len... | math | {
"ground_truth": "0.0015616076797932694",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1340,
"json_index": null,
"split": "test"
} |
BasicPulley | math_p_numeric | [
{
"content": "In a system called 'masswithfixedpulley_0', a block of mass 1.0 kg is suspended in the air with the help of a light string that goes over a pulley. The string that connects the block to an overhead pulley in 'masswithfixedpulley_0' extends outward to connect to the block in 'masswithfixedpulley_1'... | math | {
"ground_truth": "9.810000000001386",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1341,
"json_index": null,
"split": "test"
} |
RigidBodyRotation | math_p_numeric | [
{
"content": "In a system, there are 1 rigid bodies, that rotate around a hinge joint. These rigid bodies are welded together, meaning they will always rotate together around the hinge. The rigid bodies are as follows: A cylinder called 'cylinder_0' has a mass of 2.54 kg. It has a radius of 0.24 and a height of... | math | {
"ground_truth": "0.23853756258154563",
"style": "rule"
} | {
"answer_type": null,
"file_name": null,
"given_variable_mapping": null,
"index": 1342,
"json_index": null,
"split": "test"
} |
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