problem stringlengths 237 7.88k | answer stringclasses 10
values | subject stringclasses 13
values | dataset_metadata stringlengths 509 9.22k | model_metrics dict | anthropic_index_category stringclasses 23
values |
|---|---|---|---|---|---|
Question: In the () method, the energy of an atom is not equal to the sum of the energies of its electron orbitals.
Choices:
A) Electrons total more than the energy at atom
B) Total orbital power exceeds atomic energy
C) Hartree self-consistent field
D) The atomic energy matches the orbital combined
E) Shared energy o... | C | Science | {"uuid": "24c748289dd34a9781f01ca4ebe11fb2", "question": "In the () method, the energy of an atom is not equal to the sum of the energies of its electron orbitals.", "options": ["Electrons total more than the energy at atom", "Total orbital power exceeds atomic energy", "Hartree self-consistent field", "The atomic ener... | {
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"max_m... | Life, physical, and social science |
Question: Given $K_{11} = 0.003$, use the Masson chain model to calculate the activity of CaO and the content of the monomer $SiO_4^{4-}$, $x_{SiO_4^{4-}}$, in a $CaO-SiO_2$ binary melt with $x_{\rm SiO_{2}} = 0.30$.
Choices:
A) $x_{SiO_4^{4-}}$=0.311
B) $x_{SiO_4^{4-}}$=0.147
C) $x_{SiO_4^{4-}}$=0.910
D) $x_{SiO_4^{4... | H | Engineering | {"uuid": "d0a66271dadc42cd89e0319cda0b097b", "question": "Given $K_{11} = 0.003$, use the Masson chain model to calculate the activity of CaO and the content of the monomer $SiO_4^{4-}$, $x_{SiO_4^{4-}}$, in a $CaO-SiO_2$ binary melt with $x_{\\rm SiO_{2}} = 0.30$.", "options": ["$x_{SiO_4^{4-}}$=0.311", "$x_{SiO_4^{4-... | {
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"max_m... | Life, physical, and social science |
Question: Two particles $A$ and $B$ each of mass $m$ are attached by a light in-extensible string of length $2l$. The whole system lies on a smooth horizontal table with $B$ initially at a distance $l$ from $A$. The particle at end $B$ is projected across the table with speed $u$ perpendicular to $AB$. Velocity of ball... | I | Science | {"uuid": "e8bdf2e816f543318ecd7ced309f6c7e", "question": "Two particles $A$ and $B$ each of mass $m$ are attached by a light in-extensible string of length $2l$. The whole system lies on a smooth horizontal table with $B$ initially at a distance $l$ from $A$. The particle at end $B$ is projected across the table with s... | {
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"max_m... | Life, physical, and social science |
Question: The mechanical properties of ordinary brass vary with the zinc content. The strength is highest when the zinc content reaches ().
Choices:
A) 55%
B) 35%
C) 65%
D) 25%
E) 30%
F) 20%
G) 45%
H) 50%
I) 60%
J) 40%
Please solve this step by step, then output your answer on a new line as 'The answer is: X' where X... | G | Engineering | {"uuid": "e122cf10efd24168b5de7c785024f5cd", "question": "The mechanical properties of ordinary brass vary with the zinc content. The strength is highest when the zinc content reaches ().", "options": ["55%", "35%", "65%", "25%", "30%", "20%", "45%", "50%", "60%", "40%"], "answer": "45%", "answer_letter": "G", "discipl... | {
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"max_m... | Architecture and engineering |
Question: What type of singularity is $z=0$ for the function $f(z) = \operatorname{csc} \, z - \frac{1}{z}$?
Choices:
A) Hidden singularity
B) Non-isolated singularity
C) Regular singularity
D) Ordinary singularity
E) True singularity
F) Essential singularity
G) Possible singularity
H) Apparent singularity
I) False si... | G | Science | {"uuid": "2e1315c7c29442cab5b861b214aa0f3e", "question": "What type of singularity is $z=0$ for the function $f(z) = \\operatorname{csc} \\, z - \\frac{1}{z}$?", "options": ["Hidden singularity", "Non-isolated singularity", "Regular singularity", "Ordinary singularity", "True singularity", "Essential singularity", "Pos... | {
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"max_m... | Life, physical, and social science |
Question: If $\alpha $ moles of a monoatomic gas are mixed with $\beta $ moles of a polyatomic gas and mixture behaves like diatomic gas, then [ neglect the vibrational mode of freedom )
Choices:
A) $$\alpha = -\frac{5}{2}\beta$$
B) \alpha = -4\beta
C) $$\alpha = -5\beta$$
D) $$2\alpha =\beta $$
E) $$\alpha = -... | D | Science | {"uuid": "3b3c2bedca734a86893b0f1f8338892f", "question": "If\u00a0$\\alpha $\u00a0 moles of a monoatomic gas are mixed with\u00a0\u00a0$\\beta $\u00a0 moles\u00a0 of a polyatomic gas and\u00a0 mixture behaves like\u00a0 diatomic gas, then\u00a0 [ neglect the vibrational mode of freedom )", "options": ["$$\\alpha = -\\f... | {
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"max_m... | Life, physical, and social science |
Question: The core of the negotiation between the buyer and the seller in the inspection clause is ( ).
Choices:
A) Inspection equipment
B) Inspection agency
C) Inspection standards
D) Inspection frequency
E) Inspection report format
F) Inspection method
G) Inspection time and place
H) Inspection personnel
I) Inspecti... | G | Economics | {"uuid": "f2ac32f4d0e34e9490d0a20500eecdf4", "question": "The core of the negotiation between the buyer and the seller in the inspection clause is ( ).", "options": ["Inspection equipment", "Inspection agency", "Inspection standards", "Inspection frequency", "Inspection report format", "Inspection method", "Inspection ... | {
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"max_m... | Legal services |
Question: Given a uniform medium with an absorption coefficient of $0.32 cm^{−1}$, what is the thickness of the medium when the transmitted light intensity is 0.1, 0.2, and 0.5 times the incident light intensity, respectively?
Choices:
A) 6.50cm, 4.83cm and 3.77cm
B) 7.40cm, 5.43cm and 2.97cm
C) 7.20cm, 5.03cm and 2.1... | C | Engineering | {"uuid": "b3f1d7100718485b917cd9284ab7d0ce", "question": "Given a uniform medium with an absorption coefficient of $0.32 cm^{\u22121}$, what is the thickness of the medium when the transmitted light intensity is 0.1, 0.2, and 0.5 times the incident light intensity, respectively?", "options": ["6.50cm, 4.83cm and 3.77cm... | {
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"max_m... | Life, physical, and social science |
Question: After the regenerative cycle is adopted, the steam flow into the condenser () causes the loss of the cold source (), while the condenser heat load () and the heat exchange surface can be ().
Choices:
A) Stabilize, stabilize, stabilize, stabilize
B) Convert, convert, convert, convert
C) Decrease, decrease, de... | C | Engineering | {"uuid": "99f3021d93884d8aa53c0a0239e5aa65", "question": "After the regenerative cycle is adopted, the steam flow into the condenser () causes the loss of the cold source (), while the condenser heat load () and the heat exchange surface can be ().", "options": ["Stabilize, stabilize, stabilize, stabilize", "Convert, c... | {
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"max_m... | Architecture and engineering |
Question: A particle with charge $q$ moves in uniform circular motion around the $z$-axis in the $xy$ plane, with an angular frequency of $\omega$ and a radius of $R_{0}$. Assuming $\omega R_{0} \ll c$, calculate the frequency and energy flux density of the radiation field. Discuss the amplitude of the electromagnetic ... | G | Science | {"uuid": "325534796b254b3499202862368c0f5c", "question": "A particle with charge $q$ moves in uniform circular motion around the $z$-axis in the $xy$ plane, with an angular frequency of $\\omega$ and a radius of $R_{0}$. Assuming $\\omega R_{0} \\ll c$, calculate the frequency and energy flux density of the radiation f... | {
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"max_m... | Life, physical, and social science |
Question: What are the properties of the electrical model of a cell?
Choices:
A) Integrated (cellular resistance, total capacitance), equality (same membrane types, consistent resistances), regularity (consistent reactivities).
B) Cohesive (total membrane resistance, complete capacitance), unity (identical cell elemen... | E | Science | {"uuid": "4388c858bd214c06b764d848d47a2c4d", "question": "What are the properties of the electrical model of a cell?", "options": ["Integrated (cellular resistance, total capacitance), equality (same membrane types, consistent resistances), regularity (consistent reactivities).", "Cohesive (total membrane resistance, c... | {
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"max_m... | Life, physical, and social science |
Question: Consider the following statements about groups and rings. How many of these statements are TRUE?
1. If H is a normal subgroup of G and K is a normal subgroup of H, then K is a normal subgroup of G.
2. For i = 1, 2, let Hᵢ be a normal subgroup of Gᵢ. If H₁ ≅ H₂ and G₁ ≅ G₂, then G₁/H₁ ≅ G₂/H₂.
3. All nontrivia... | A | Science | {"uuid": "e165fc82abd64307b9823643848967ec", "question": "Consider the following statements about groups and rings. How many of these statements are TRUE?\n1. If H is a normal subgroup of G and K is a normal subgroup of H, then K is a normal subgroup of G.\n2. For i = 1, 2, let H\u1d62 be a normal subgroup of G\u1d62. ... | {
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Question: What is the memory clock speed in MHz for the GeForce4 MX420 (2002)?
Choices:
A) 160
B) 165
C) 161
D) 168
E) 167
F) 163
G) 162
H) 166
I) 169
J) 164
Please solve this step by step, then output your answer on a new line as 'The answer is: X' where X is the letter corresponding to your choice. | H | Engineering | {"uuid": "9979c435643c4cc3b1f17a9684ed4728", "question": "What is the memory clock speed in MHz for the GeForce4 MX420 (2002)?", "options": ["160", "165", "161", "168", "167", "163", "162", "166", "169", "164"], "answer": "166", "answer_letter": "H", "discipline": "Engineering", "field": "Computer Science and Technolog... | {
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"max_m... | Computer and mathematical |
Question: The main performance indicators to measure the performance of communication system are ().
Choices:
A) Efficacy
B) Coverage and Error handling
C) Accessibility and Functionality
D) Bandwidth and Throughput
E) Error rate
F) Data rate and Signal strength
G) Connectivity and Coverage
H) Reliability
I) Effective... | I | Military Science | {"uuid": "cf8ae1aa132644d7834b9262cdb7db0b", "question": "The main performance indicators to measure the performance of communication system are ().", "options": ["Efficacy", "Coverage and Error handling", "Accessibility and Functionality", "Bandwidth and Throughput", "Error rate", "Data rate and Signal strength", "Con... | {
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"max_m... | Computer and mathematical |
Question: The deep lobes of the leaves refer to how much the notches extend beyond the leaves?
Choices:
A) 1/6
B) 2/3
C) 1/4
D) 3/4
E) 2/5
F) 1/2
G) 4/5
H) 1/3
I) 5/6
J) 1/5
Please solve this step by step, then output your answer on a new line as 'The answer is: X' where X is the letter corresponding to your choice. | F | Science | {"uuid": "da640c41995d4bf9b881575c661900b8", "question": "The deep lobes of the leaves refer to how much the notches extend beyond the leaves?", "options": ["1/6", "2/3", "1/4", "3/4", "2/5", "1/2", "4/5", "1/3", "5/6", "1/5"], "answer": "1/2", "answer_letter": "F", "discipline": "Science", "field": "Biology", "subfiel... | {
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"max_m... | None |
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