Dataset Viewer
problem
stringlengths 66
1.03k
| answer
stringclasses 4
values | choices
stringlengths 43
300
| solution
stringlengths 17
2.44k
| image_path
stringlengths 48
48
| image
dict | problem_translation
stringlengths 80
1.07k
| solution_translation
stringlengths 4
960
| choices_translation
stringlengths 42
308
| reformulated_problem
stringlengths 154
1.14k
| reformulation_solution
stringlengths 9
76
| validation_result
bool 1
class | reasoning
stringlengths 458
1.93k
| judge_verdict
stringclasses 2
values | judge_issues
sequencelengths 0
4
| judge_suggestions
sequencelengths 0
4
| judge_reasoning
stringlengths 594
1.36k
| judge_corrected_reformulated_problem
stringlengths 166
1.14k
⌀ | timestamp
stringlengths 15
15
| temperature
float64 0
0
| api_base
stringclasses 1
value | combined_answer
stringlengths 4
61
| combined_translation
stringlengths 132
1.14k
| uuid
stringlengths 16
17
| reformulation_process.core_concept
stringlengths 39
168
| reformulation_process.key_information_extraction
sequencelengths 3
8
| reformulation_process.problem_structure_analysis
stringlengths 48
172
| reformulation_process.multiple_choice_removal_strategy
stringlengths 61
172
| reformulation_process.rephrasing_approach
stringlengths 89
192
| reformulation_process.problem_integrity_preservation
stringlengths 83
214
| reformulation_process.answer_format_specification
stringlengths 37
194
| reformulation_process.is_multiple_choice
bool 1
class | validation_details.no_mc_options
bool 2
classes | validation_details.process_complete
bool 1
class |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
"Ở mặt nước, tại hai điểm A và B cách nhau 19 cm, có hai nguồn kết hợp dao đ(...TRUNCATED) | C | {'A': '7.', 'B': '4.', 'C': '5.', 'D': '6.'} | "+ Số cực tiểu trên AB: $\\frac{-AB}{\\lambda} - \\frac{1}{2} < k < \\frac{AB}{\\lambda} - \\(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 15.02.16.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABDQAAAGyCAYAAAAbP5QYAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "On a water surface, two coherent sources of waves, A and B, which oscillate in phase at a distance (...TRUNCATED) | The analysis shows that there are exactly 5 minima on segment AM, and the correct choice is C. | {'A': '7.', 'B': '4.', 'C': '5.', 'D': '6.'} | "On a water surface, two coherent sources of waves, A and B, which oscillate in phase at a distance (...TRUNCATED) | \boxed{5} | false | "Let me think step by step:\n\n1. **Analyze the original problem**:\n - The problem involves wave (...TRUNCATED) | FAIL | ["The reformulated problem retains the structure and phrasing of the original multiple-choice questi(...TRUNCATED) | ["Reformulate the problem to focus on the reasoning or calculation process required to determine the(...TRUNCATED) | "The reformulated problem closely mirrors the original multiple-choice question by asking for the nu(...TRUNCATED) | "On a water surface, two coherent sources of waves, A and B, oscillate in phase at a distance of 19 (...TRUNCATED) | 20250318_081609 | 0.000415 | https://iia-oai.openai.azure.com/ | C. 5. | "On a water surface, two coherent sources of waves, A and B, which oscillate in phase at a distance (...TRUNCATED) | 1742285752.550375 | Wave interference and minima calculation based on coherent sources and wavelength | ["Two coherent sources A and B oscillate in phase","Distance between A and B: 19 cm","Wavelength of (...TRUNCATED) | Scenario-based physics problem involving wave interference and geometry | "Remove all answer choices and rephrase the question to directly ask for the number of interference (...TRUNCATED) | "Transform the question into an open-ended format while preserving all numerical values and the phys(...TRUNCATED) | "Retain all original numerical values, terms, and relationships without introducing hints or alterin(...TRUNCATED) | Answer should be expressed as a whole number inside \boxed{} | true | true | false |
"Một máy phát điện xoay chiều một pha có phần ứng gồm bốn cuộn dây giống nh(...TRUNCATED) | B | {'A': '400 vòng.', 'B': '100 vòng.', 'C': '71 vòng.', 'D': '200 vòng.'} | "Gọi tổng số vòng dây của máy là N, ta có:\n$E_0 = E \\sqrt{2} = 2\\pi f.N.\\Phi_0 \\ri(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.39.34.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAAB24AAAJ0CAYAAADasgOsAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A single-phase alternating current generator has an armature consisting of four identical coils con(...TRUNCATED) | "Let the total number of turns in the generator be N.\\nWe have:\\n$$E_0 = E \\sqrt{2} = 2\\pi f.N.\(...TRUNCATED) | {'A': '400 turns', 'B': '100 turns', 'C': '71 turns', 'D': '200 turns'} | "A single-phase alternating current generator has an armature consisting of four identical coils con(...TRUNCATED) | \boxed{100} | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyzing the multiple-cho(...TRUNCATED) | FAIL | ["The reformulated problem retains the structure of the original multiple-choice question by asking (...TRUNCATED) | ["Reformulate the problem to focus on the derivation or reasoning process rather than directly askin(...TRUNCATED) | "The reformulated problem closely mirrors the original multiple-choice question by asking for a spec(...TRUNCATED) | "A single-phase alternating current generator has an armature consisting of four identical coils con(...TRUNCATED) | 20250318_081609 | 0.000211 | https://iia-oai.openai.azure.com/ | B. 100 turns | "A single-phase alternating current generator has an armature consisting of four identical coils con(...TRUNCATED) | 1742285752.55059 | "Electromagnetic induction in an AC generator, involving calculation of coil turns using voltage, fr(...TRUNCATED) | ["Frequency of alternating voltage: 50 Hz","Effective voltage: 100√2 V","Maximum magnetic flux thr(...TRUNCATED) | Direct calculation problem using electromagnetic induction formulas | "Remove all answer choices and rephrase the question to directly ask for the number of turns in each(...TRUNCATED) | Transform the question into an open-ended format while retaining all numerical values and context | "Preserve all numerical values, units, and the original difficulty level without adding hints or sol(...TRUNCATED) | Answer should be expressed as an integer (number of turns) using the format \boxed{} | true | true | false |
"Đặt điện áp $u = 200\\sqrt{2}cos(100\\pi t) (V)$( t tính bằng s) vào hai đầu đoạn (...TRUNCATED) | B | {'A': '$\\sqrt{2} A$.', 'B': '$1A$.', 'C': '$2\\sqrt{2} A$.', 'D': '$2A$. '} | "$Z_L = L \\omega = 200\\Omega$, $Z_C = \\frac{1}{C \\omega} = 100\\Omega$\n$\\tan \\varphi = \\frac(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 15.28.06.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABU4AAAKMCAYAAAA0QiLJAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A voltage defined by $u = 200\\sqrt{2}\\cos(100\\pi t)$ V (with time $t$ measured in seconds) is ap(...TRUNCATED) | "Starting with the impedance values, the inductive reactance is $Z_L = \\omega L = 200 \\Omega$, and(...TRUNCATED) | {'A': '$\\sqrt{2} A$', 'B': '$1A$', 'C': '$2\\sqrt{2} A$', 'D': '$2A$'} | "A voltage defined by \\( u = 200\\sqrt{2}\\cos(100\\pi t) \\) V (with time \\( t \\) measured in se(...TRUNCATED) | \(\boxed{1}\) | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyzing the original pro(...TRUNCATED) | FAIL | ["The reformulated problem retains the original multiple-choice structure implicitly by asking for a(...TRUNCATED) | ["Reformulate the problem to focus on deriving the RMS current through analysis of the circuit compo(...TRUNCATED) | "The reformulated problem asks for the RMS current in the circuit as a simplified numerical value, w(...TRUNCATED) | "A voltage defined by \\( u = 200\\sqrt{2}\\cos(100\\pi t) \\) V (with time \\( t \\) measured in se(...TRUNCATED) | 20250318_081614 | 0.000746 | https://iia-oai.openai.azure.com/ | B. $1A$ | "A voltage defined by $u = 200\\sqrt{2}\\cos(100\\pi t)$ V (with time $t$ measured in seconds) is ap(...TRUNCATED) | 1742285752.55073 | AC circuit analysis involving impedance, phase shift, and RMS current calculation | ["Voltage: u = 200√2 cos(100πt) V","Resistor, inductor (L = 2/π H), and capacitor (C = 100/π μ(...TRUNCATED) | "Physics problem requiring AC circuit analysis, impedance calculation, and RMS current determination(...TRUNCATED) | "Remove all answer choices and rephrase the question to directly ask for the RMS current in the circ(...TRUNCATED) | "Keep all circuit parameters and relationships intact, and ask for the RMS current in an open-ended (...TRUNCATED) | "Preserve all numerical values, equations, and relationships; ensure the problem remains at the same(...TRUNCATED) | Answer should be expressed in amperes (A) as a simplified numerical value | null | false | false |
"Theo mẫu nguyên tử Bo về nguyên tử hiđrô, coi êlectron chuyển động tròn đều q(...TRUNCATED) | A | {'A': '2.', 'B': '0,25.', 'C': '4', 'D': '0,5.'} | "Lực Cu-lông đóng vai trò lực hướng tâm, do đó có $\\frac{mv^2}{r} = k\\frac{e^2}{r^2(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.54.18.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABqIAAAIQCAYAAADq2n8PAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "According to Bohr's atomic model for the hydrogen atom, consider the electron moving in a circular (...TRUNCATED) | "Using Coulomb's force as the centripetal force, we derive that the velocity $v \\sim \\frac{1}{n}$.(...TRUNCATED) | {'A': '2.', 'B': '0.25.', 'C': '4.', 'D': '0.5.'} | "According to Bohr's atomic model for the hydrogen atom, consider the electron moving in a circular (...TRUNCATED) | \boxed{2} | false | "1. **Analyzing the original problem**:\n - The problem is based on Bohr's atomic model, specifica(...TRUNCATED) | FAIL | ["The reformulated problem retains the multiple-choice nature of the original problem by asking for (...TRUNCATED) | ["Reformulate the problem to focus on deriving the relationship between \\( v_L \\) and \\( v_N \\) (...TRUNCATED) | "The reformulated problem asks for the ratio \\( \\\\frac{v_L}{v_N} \\) as a numerical value, which (...TRUNCATED) | "According to Bohr's atomic model for the hydrogen atom, consider the electron moving in a circular (...TRUNCATED) | 20250318_081624 | 0.000795 | https://iia-oai.openai.azure.com/ | A. 2. | "According to Bohr's atomic model for the hydrogen atom, consider the electron moving in a circular (...TRUNCATED) | 1742285752.550844 | Bohr's atomic model and the relationship between electron velocity and orbit radius | ["Bohr's atomic model for the hydrogen atom","Electron moves in a circular path around the nucleus",(...TRUNCATED) | "Direct question requiring the application of Bohr's model to calculate the ratio of velocities in t(...TRUNCATED) | Remove all answer choices and rephrase the question to directly ask for the ratio v_L/v_N | "Rephrase the question to ask for the ratio in an open-ended format, ensuring clarity and preserving(...TRUNCATED) | "Maintain all references to Bohr's model, the circular motion of the electron, and the relationship (...TRUNCATED) | Answer should be expressed as a numerical value (e.g., 2, 0.25, etc.) inside \boxed{} | true | true | false |
"Đặt điện áp $u = U\\sqrt{2} cos 2\\pi ft$ (f thay đổi được, U tỉ lệ thuận với(...TRUNCATED) | B | {'A': '60 Hz.', 'B': '80 Hz.', 'C': '50 Hz.', 'D': '120 Hz.'} | "- Vì U tỉ lệ thuận với f nên u giống với u của máy phát điện xoay chiều 1 ph(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.44.35.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAAA4YAAAVkCAYAAACILwG+AAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A harmonic voltage $u = U\\sqrt{2} \\cos 2\\pi ft$ (where $f$ can vary, and $U$ is proportional to (...TRUNCATED) | "By detailed calculations and observations detailed in the solution, the value is computed to be $f_(...TRUNCATED) | {'A': '60 Hz.', 'B': '80 Hz.', 'C': '50 Hz.', 'D': '120 Hz.'} | "A harmonic voltage \\( u = U\\sqrt{2} \\cos 2\\pi ft \\) (where \\( f \\) can vary, and \\( U \\) i(...TRUNCATED) | \(\boxed{80}\) | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyze the multiple-choic(...TRUNCATED) | FAIL | ["The reformulated problem retains the structure of a multiple-choice question by asking for a speci(...TRUNCATED) | ["Reformulate the problem to focus on deriving the conditions under which the phase difference betwe(...TRUNCATED) | "The reformulated problem closely mirrors the original multiple-choice question by asking for the sp(...TRUNCATED) | "A harmonic voltage \\( u = U\\sqrt{2} \\cos 2\\pi ft \\) (where \\( f \\) can vary, and \\( U \\) i(...TRUNCATED) | 20250318_081632 | 0.000143 | https://iia-oai.openai.azure.com/ | B. 80 Hz. | "A harmonic voltage $u = U\\sqrt{2} \\cos 2\\pi ft$ (where $f$ can vary, and $U$ is proportional to (...TRUNCATED) | 1742285752.55097 | "AC circuit analysis involving resonance, phase relationships, and frequency-dependent behavior of R(...TRUNCATED) | ["Harmonic voltage: u = U√2 cos(2πft)","U is proportional to f","Circuit AB: AM section (R + C in(...TRUNCATED) | "Multi-step problem requiring analysis of resonance, phase shifts, and frequency-dependent behavior (...TRUNCATED) | Remove all answer choices and rephrase the question to directly ask for the value of f₁ | "Transform the question into an open-ended format by retaining all given conditions and asking for t(...TRUNCATED) | "Preserve all numerical values, equations, and conditions as stated in the original problem. Ensure (...TRUNCATED) | Specify that the answer should be expressed in Hz as a whole number | true | true | false |
"Một chất điểm dao động điều hòa trên trục Ox. Trong thời gian 31,4 s chất đi(...TRUNCATED) | A | "{'A': 'x = 4cos(20t + \\\\frac{\\\\pi}{3})(cm).', 'B': 'x = 4cos(20t - \\\\frac{\\\\pi}{3})(cm).', (...TRUNCATED) | "* $T = \\frac{31,4}{100} = 0,314 s \\Rightarrow \\omega = \\frac{2\\pi}{T} = 20 Rad/s$\n* $A = \\sq(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.39.21.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAAB5AAAAOqCAYAAABadMltAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A particle oscillates harmonically along the Ox axis. Within 31.4 seconds, the particle completes 1(...TRUNCATED) | "* $T = \\frac{31.4}{100} = 0.314 \\text{s} \\Rightarrow \\omega = \\frac{2\\pi}{T} = 20 \\text{Rad/(...TRUNCATED) | "{'A': 'x = 4cos(20t + \\\\frac{\\\\pi}{3})(cm).', 'B': 'x = 4cos(20t - \\\\frac{\\\\pi}{3})(cm).', (...TRUNCATED) | "A particle oscillates harmonically along the Ox axis. Within 31.4 seconds, the particle completes 1(...TRUNCATED) | \boxed{x = 4\cos(20t + \frac{\pi}{3}) \text{(cm)}} | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyze the multiple-choic(...TRUNCATED) | FAIL | ["The reformulated problem retains the original multiple-choice structure implicitly by asking for t(...TRUNCATED) | ["Reformulate the problem to focus on deriving the amplitude, angular frequency, and phase shift ind(...TRUNCATED) | "The reformulated problem asks the solver to determine the equation of oscillation in the form \\( x(...TRUNCATED) | "A particle oscillates harmonically along the Ox axis. Within 31.4 seconds, the particle completes 1(...TRUNCATED) | 20250318_081624 | 0.000698 | https://iia-oai.openai.azure.com/ | A. x = 4cos(20t + \frac{\pi}{3})(cm). | "A particle oscillates harmonically along the Ox axis. Within 31.4 seconds, the particle completes 1(...TRUNCATED) | 1742285752.551078 | "Harmonic motion and determining the equation of oscillation based on given parameters such as frequ(...TRUNCATED) | ["Time for 100 oscillations: 31.4 seconds","Initial displacement: -2 cm","Initial velocity: 40√3 c(...TRUNCATED) | "The problem involves calculating the parameters of harmonic motion (amplitude, angular frequency, a(...TRUNCATED) | "Remove all answer choices and directly ask for the equation of oscillation in the specified format.(...TRUNCATED) | "Rephrase the problem to ask for the equation of oscillation directly, specifying the required forma(...TRUNCATED) | "Preserve all numerical values, initial conditions, and the requirement to determine the equation of(...TRUNCATED) | "The answer should be expressed as an equation in the form \\( x = A\\cos(\\omega t + \\phi) \\) wit(...TRUNCATED) | null | true | false |
"Đặt điện áp xoay chiều $u = U_0\\cos\\left(100\\pi t + \\frac{\\pi}{3}\\right) (V)$ vào h(...TRUNCATED) | A | "{'A': 'i = 2√3cos (100πt −π/6)(4)', 'B': 'i = 2√3 cos (100πt +π/6)(4)', 'C': 'i = 2√2 c(...TRUNCATED) | "$\\left(\\frac{i}{I_0}\\right)^2 + \\left(\\frac{u}{U_0}\\right)^2 =1 \\Leftrightarrow \\left(\\fra(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.35.35.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABz4AAAS0CAYAAAARnq5qAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "Apply an alternating voltage $u = U_0\\cos\\left(100\\pi t + \\frac{\\pi}{3}\\right) (V)$ across a (...TRUNCATED) | "Based on the relationship between the voltage and current in an inductive circuit, we calculate and(...TRUNCATED) | "{'A': 'i = 2√3 cos (100πt − π/6) (A)', 'B': 'i = 2√3 cos (100πt + π/6) (A)', 'C': 'i = 2(...TRUNCATED) | "Apply an alternating voltage \\( u = U_0\\cos\\left(100\\pi t + \\frac{\\pi}{3}\\right) \\, (V) \\)(...TRUNCATED) | \[
\boxed{i = 2\sqrt{3} \cos\left(100\pi t - \frac{\pi}{6}\right) \, (A)}
\] | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyzing the multiple-cho(...TRUNCATED) | FAIL | ["The reformulated problem still effectively retains the multiple-choice nature of the original prob(...TRUNCATED) | ["Reformulate the problem to focus on deriving the current expression through reasoning and calculat(...TRUNCATED) | "The reformulated problem retains the multiple-choice nature of the original by implicitly guiding t(...TRUNCATED) | "Apply an alternating voltage \\( u = U_0\\cos\\left(100\\pi t + \\frac{\\pi}{3}\\right) \\, (V) \\)(...TRUNCATED) | 20250318_081640 | 0.000136 | https://iia-oai.openai.azure.com/ | A. i = 2√3 cos (100πt − π/6) (A) | "Apply an alternating voltage $u = U_0\\cos\\left(100\\pi t + \\frac{\\pi}{3}\\right) (V)$ across a (...TRUNCATED) | 1742285752.55117 | "AC circuit analysis involving a pure inductive coil, phase relationships between voltage and curren(...TRUNCATED) | ["Voltage expression: u = U_0 cos(100πt + π/3) (V)","Inductance: L = 1/(2π) (H)","Voltage at a sp(...TRUNCATED) | "The problem involves analyzing the phase difference between voltage and current in a purely inducti(...TRUNCATED) | Remove all answer choices and directly ask for the expression of the current through the coil. | "Rephrase the problem to ask for the current expression in an open-ended format, retaining all given(...TRUNCATED) | "Preserve all numerical values, equations, and relationships between voltage and current. Ensure the(...TRUNCATED) | "The answer should be expressed as a mathematical equation for the current, in terms of cosine, with(...TRUNCATED) | true | true | false |
"Một máy phát điện xoay chiều ba pha đang hoạt động bình thường. Trong ba cuộn (...TRUNCATED) | B | {'A': '50 V.', 'B': '40 V.', 'C': '45 V.', 'D': '35 V.'} | "\n\n$\\begin{cases}\n30 = E_ocosX \\\\\nE_o^2cos(X-120).cos(X-12)=-300\n\\end{cases}$ ta tìm đư(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.56.35.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABe4AAAEiCAYAAACP5EIbAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A three-phase alternating current generator is operating normally. In the three windings of the sta(...TRUNCATED) | "Using the given equations: \\[ \\begin{cases} 30 = E_0 \\cos X, \\\\ E_0^2 \\cos(X-120^\\circ) \\co(...TRUNCATED) | {'A': '50 V.', 'B': '40 V.', 'C': '45 V.', 'D': '35 V.'} | "A three-phase alternating current generator is operating normally. In the three windings of the sta(...TRUNCATED) | \boxed{40} | false | "Let me think step by step:\n\n1. **Analyze the multiple-choice aspect**:\n - The original problem(...TRUNCATED) | FAIL | ["The reformulated problem still effectively limits the answer to a small set of possible values, as(...TRUNCATED) | ["Reformulate the problem to focus on deriving the relationship between \\( e_1 \\), \\( e_2 \\), an(...TRUNCATED) | "The reformulated problem asks for the peak value of \\( e_1 \\), which is a single numerical value.(...TRUNCATED) | "A three-phase alternating current generator is operating normally. In the three windings of the sta(...TRUNCATED) | 20250318_081609 | 0.000233 | https://iia-oai.openai.azure.com/ | B. 40 V. | "A three-phase alternating current generator is operating normally. In the three windings of the sta(...TRUNCATED) | 1742285752.551468 | Electromotive force in a three-phase alternating current generator and peak value calculation | ["Three electromotive forces: e1, e2, e3","At a specific moment: e1 = 30 V","Product of e2 and e3: e(...TRUNCATED) | Physics problem involving alternating current and peak value determination | Remove all answer choices and directly ask for the peak value of e1 | "Rephrase the question to ask for the peak value of e1 in an open-ended format while preserving all (...TRUNCATED) | "Maintain all original values and relationships without introducing hints or altering the difficulty(...TRUNCATED) | Answer should be expressed in volts (V) as a whole number | true | true | false |
"Vật nhỏ của một con lắc lò xo dao động điều hòa theo phương ngang, mốc thế (...TRUNCATED) | B | {'A': '\\frac{1}{2}', 'B': '3', 'C': '2', 'D': '\\frac{1}{3}'} | "Theo bài ra: $|a| = \\frac{1}{2} |a_{max}| \\Rightarrow \\omega^2 x| = \\frac{1}{2} \\omega^2 A \\(...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 14.37.32.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAACO4AAARkCAYAAADPScnKAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "A small object belonging to a spring pendulum oscillates harmonically along the horizontal directio(...TRUNCATED) | "According to the problem statement: \\(|a| = \\frac{1}{2} |a_{max}| \\Rightarrow \\omega^2 |x| = \\(...TRUNCATED) | {'A': '\\frac{1}{2}', 'B': '3', 'C': '2', 'D': '\\frac{1}{3}'} | "A small object belonging to a spring pendulum oscillates harmonically along the horizontal directio(...TRUNCATED) | \boxed{3} | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyzing the multiple-cho(...TRUNCATED) | FAIL | ["The reformulated problem retains the structure of a hidden multiple-choice question by asking for (...TRUNCATED) | ["Reformulate the problem to focus on deriving the relationship between kinetic and potential energy(...TRUNCATED) | "The reformulated problem closely mirrors the original multiple-choice question by asking for a spec(...TRUNCATED) | "A small object belonging to a spring pendulum oscillates harmonically along the horizontal directio(...TRUNCATED) | 20250318_081643 | 0.000997 | https://iia-oai.openai.azure.com/ | B. 3 | "A small object belonging to a spring pendulum oscillates harmonically along the horizontal directio(...TRUNCATED) | 1742285752.551603 | Harmonic motion and energy relationships in a spring pendulum | ["Object oscillates harmonically along the horizontal direction","Potential energy reference is at t(...TRUNCATED) | "Physics problem involving harmonic motion and energy ratios, requiring understanding of acceleratio(...TRUNCATED) | "Remove all answer choices and rephrase the question to directly ask for the ratio of kinetic energy(...TRUNCATED) | "Rephrase the question to ask for the ratio as an open-ended response, while maintaining the origina(...TRUNCATED) | "Preserve all numerical relationships and physical principles, ensuring the problem remains solvable(...TRUNCATED) | Answer should be expressed as a simplified ratio (e.g., 3 or 1/2) in boxed format | true | true | false |
"Hạt nhân ${}_{6}^{13}C$ có khối lượng 13,0001u. Cho khối lượng prôtôn và nơtron l(...TRUNCATED) | A | "{'A': '7,49MeV/ nuclôn.', 'B': '16,2MeV/ nuclôn.', 'C': '8,12MeV/ nuclôn.', 'D': '97,4MeV/ nucl(...TRUNCATED) | "$\\epsilon = \\frac{W_{LK}}{A} = \\frac{\\Delta m . c^2}{A} = \\frac{[Z.m_p + N.m_N - m].c^2}{A} = (...TRUNCATED) | ../physics/Screenshot 2025-03-17 at 15.31.30.png | {"bytes":"iVBORw0KGgoAAAANSUhEUgAABqAAAAHGCAYAAAAboEqdAAAMPWlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIb(...TRUNCATED) | "The nucleus ${}_{6}^{13}C$ has a mass of 13.0001u. Given the mass of proton and neutron are 1.0073u(...TRUNCATED) | "The specific binding energy is calculated using the formula: \\(\\epsilon = \\frac{W_{LK}}{A} = \\f(...TRUNCATED) | "{'A': '7.49 MeV/nucleon.', 'B': '16.2 MeV/nucleon.', 'C': '8.12 MeV/nucleon.', 'D': '97.4 MeV/nucle(...TRUNCATED) | "The nucleus ${}_{6}^{13}C$ has a mass of 13.0001u. Given the mass of a proton is 1.0073u and the ma(...TRUNCATED) | \boxed{7.49} | false | "Let me think step by step about how to reformulate this problem:\n\n1. **Analyzing the multiple-cho(...TRUNCATED) | FAIL | ["The reformulated problem retains the original multiple-choice structure by asking for the specific(...TRUNCATED) | ["Reframe the problem to focus on deriving the binding energy per nucleon without specifying roundin(...TRUNCATED) | "The reformulated problem asks the solver to calculate the specific binding energy of the nucleus ${(...TRUNCATED) | "The nucleus ${}_{6}^{13}C$ has a mass of 13.0001u. Given the mass of a proton is 1.0073u and the ma(...TRUNCATED) | 20250318_081643 | 0.00092 | https://iia-oai.openai.azure.com/ | A. 7.49 MeV/nucleon. | "The nucleus ${}_{6}^{13}C$ has a mass of 13.0001u. Given the mass of proton and neutron are 1.0073u(...TRUNCATED) | 1742285752.551699 | Nuclear physics - calculation of specific binding energy | ["Mass of ${}_{6}^{13}C$: 13.0001u","Mass of proton: 1.0073u","Mass of neutron: 1.0087u","1u = 931.5(...TRUNCATED) | "Direct calculation problem requiring the use of given masses and constants to compute the specific (...TRUNCATED) | "Remove all answer choices and rephrase the question to directly ask for the specific binding energy(...TRUNCATED) | "Keep all numerical values and constants intact, and rephrase the question to ask for the specific b(...TRUNCATED) | "Preserve all original numerical values, constants, and the context of the problem without introduci(...TRUNCATED) | "Answer should be expressed in MeV/nucleon, rounded to two decimal places, and written in the format(...TRUNCATED) | true | true | false |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 98