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[ { "role": "system", "content": "# Role\n- You are Gary Hernandez, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 1...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
895
While solving higher dimensional heat equations subject to suitable initial and boundary conditions through higher order finite difference approximations and parallel splitting, the matrix exponential function is approximated by a fractional approximation. The key factor of converting sequential algorithm into parallel...
B
B
a8ab1e8973f04f509598779a5d5b420b
[ { "role": "system", "content": "# Role\n- You are Joshua Dunn, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11 y...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
1,234
Given the following Lagrangian \mathcal{L}_{int}=\kappa\bar{\psi}\sigma_{\mu\nu}\psi F^{\mu\nu} where \sigma_{\mu\nu}=\frac{i}{2}\left[\gamma_{\mu},\gamma_{\nu}\right]. What is the mass dimension of \kappa? Is the theory renormalizable? A. The mass dimension \left[\kappa\right]_{M}=-1. The theory is not renormaliza...
A
A
536a8ffe0b8f4062b2bb334859b496de
[ { "role": "system", "content": "# Role\n- You are Cynthia Gross, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 10...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
1,714
The Interaction between the bosonic field X and fermions is given by \mathcal{L}\left(y\right)=-\lambda{f}\bar{\psi}{f}\left(y\right)\left(\upsilon+X\left(y\right)\right)\psi_{f}\left(y\right) The mass of the boson X is 6 GeV. What are the kinematically allowed decays of the boson X at the lowest order? PS: for the ...
C
C
5c32ef73c47a42678f78477706e72ad2
[ { "role": "system", "content": "# Role\n- You are Jordan Chang, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
1,735
In the lab, a chemist discovers an unnamed bottle with a white solid inside. He gathers the following spectral information in order to identify the liquid. Make a reasonable structural suggestion for the unidentified drug using the information provided. Mass: molecular ion peak at m/z = 156 (100%) a peak at m/z = 158 (...
C
C
679a4646226742d686b8209573c45fc7
[ { "role": "system", "content": "# Role\n- You are Ryan Fernandez, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 1...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
1,989
An electron is in the spin state (3i, 4). Find the expectation value of its spin along y-direction, S_y. Note: \sigma_y (in latex format) is: \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix} A. -12*hbar/25 B. 12*hbar/25 C. -25*hbar/2 D. 25*hbar/2
A
A
9e2763ce559641ed9e747cd7376d7e96
[ { "role": "system", "content": "# Role\n- You are Robin Anderson, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 1...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
false
false
1
2,017
A benzene ring has a carboxylic acid a carbaldehyde and a cyano group all meta to one another. Ortho to the carboxylic acid are a hydroxyl and a dimethyl amino and para to the carboxylic acid is a methoxy group. The methoxy and the alcohol are also both ortho to the nitrile. What is the correct IUPAC name for this mole...
B
A
765ecc0c224648158eb0a045c02213fa
[ { "role": "system", "content": "# Role\n- You are Sarah Tapia, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11 y...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
2,987
Observations of structures located at a distance of about 2.1 gigaparsecs (2.1 Gpc) are being carried out. The detected absorption line energy equivalent is about 3.9 micro electron volts (3.9 * 10^-6 eV). What is most likely to be observed with this absorption line in the Milky Way? A. Warm atomic interstellar mediu...
C
C
fefbd2e882154014ab9308c185ef9648
[ { "role": "system", "content": "# Role\n- You are James Nixon, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 10 y...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
1,964
What is the concentration of calcium ions in a solution containing 0.02 M stochiometric Ca-EDTA complex (we assume that the pH is ideal, T = 25 °C). KCa-EDTA = 5x10^10. A. 6.3x10^-7 M B. 1.0x10^-2 M C. 5.0x10^-3 M D. 2.0x10^-2 M
A
A
5db87d8ab42847f7b502f864c8da8877
[ { "role": "system", "content": "# Role\n- You are Laura Novak, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11 y...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
1,688
Astronomers are studying a star with a 1.5 solar radius and 1.1 solar masses. When the star's surface is not covered by dark spots, its Teff is 6000K. However, when 40% of its surface is covered by spots, the overall photospheric effective temperature decreases to 5500 K. In the stellar photosphere, when examining the ...
C
C
da74ff7775404bfbb11a92897d5c14fe
[ { "role": "system", "content": "# Role\n- You are David Padilla, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,058
Astronomers are studying a system of three exoplanets (Planet1, Planet2, and Planet3) with circular orbits discovered through the TTV method. They have found that the ratio of the equilibrium temperatures between Planet1 and Planet2 is approximately 1.4, and between Planet2 and Planet3, it is about 2.3. They have also ...
D
D
7f70040a3f3e4458821d7fcc8e512cf5
[ { "role": "system", "content": "# Role\n- You are John Miller, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 12 y...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
2,221
Four identical spin-1/2 particles are placed in a one-dimensional infinite potential well of length L. Calculate the energies of the ground state, first excited state, and second excited state of the system in terms of energy E. (Here E= pi^2 \hbar^2 /2mL^2 ) A. 10E, 15E, 18E B. 4E, 10E, 50E C. 4E, 10E, 15E D. 30E, ...
A
A
155ec7c00aea42af9d56b8b5c1e1ad0f
[ { "role": "system", "content": "# Role\n- You are Albert Arellano, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,064
In gametogenesis, the germline undergoes two cycles of meiosis to give rise to haploid gametes. The goal of meiosis, unlike mitosis, is to separate not only the replicated sister chromatids but also the homologous chromosome pairs to form haploid cells. Fertilized gametes enter embryogenesis and ultimately develop into...
D
D
68383f6adc1b4adaa509b93ff6d6bd38
[ { "role": "system", "content": "# Role\n- You are Shawn Wright, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,042
If a charge q is placed d distance away from the center of a grounded conducting sphere of radius R. Calculate the net potential energy of this system. A. U=- kq^2 d/(d^2 -R^2) B. U=- (1/2) kq^2 d/(d^2 +R^2) C. U=- (1/2) *kq^2 R/(d^2 -R^2) D. U=-(1/2) kq^2 R^2/(d^2 -R^2)
C
C
9d97f10cfc2049929215a7cc8a5db173
[ { "role": "system", "content": "# Role\n- You are Misty Joseph, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 10 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,454
A spin-half particle is in a linear superposition 0.5|\uparrow\rangle+sqrt(3)/2|\downarrow\rangle of its spin-up and spin-down states. If |\uparrow\rangle and |\downarrow\rangle are the eigenstates of \sigma{z} , then what is the expectation value up to one decimal place, of the operator 10\sigma{z}+5\sigma_{x} ? Here,...
C
C
a736a46a72334d759e32d80fd93f565e
[ { "role": "system", "content": "# Role\n- You are Felicia Smith, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 9 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,284
Find KE of product particles in, Pi(+) = mu(+) + nu here Pi(+) is stationary. Rest mass of Pi(+) & mu(+) is 139.6 MeV & 105.7 MeV respectively. A. 3.52 MeV, 20.8 MeV B. 4.12 MeV, 29.8 MeV C. 2.84 MeV, 26.8 MeV D. 7.2 MeV, 32.8 MeV
B
B
8eadb5712981439fa518c91af0954ca5
[ { "role": "system", "content": "# Role\n- You are Andrew Brown, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 12 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,553
Compounds that have the same molecular formula but are different in their structural arrangement are known as isomers. Isomers have two types, constitutional isomers and stereoisomers. Constitutional isomers have the same molecular formula but differ in their structures. In stereoisomers, molecules are connected in the...
B
B
4a16d656c4094eba82c9e843ddf4837e
[ { "role": "system", "content": "# Role\n- You are Erika Schmitt, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 8 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,962
You have prepared an unknown compound. To identify the product, you have used the following characterisation techniques: FTIR, 1H NMR, and Mass Spectrometry. The FTIR spectrum shows a very broad absorption peak at 3000 wavenumbers. Two other strong absorption peaks are observed at 1700 and 1650 wavenumbers. Several pea...
B
B
90f5db5d5ee5497e8f6ddca3938b3f16
[ { "role": "system", "content": "# Role\n- You are Laura Wilkinson, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
false
1
1,097
Which of the following (effective) particles is not associated with a spontaneously-broken symmetry? A. Magnon B. Phonon C. Pion D. Skyrmion
D
D
5b3266c686e14cfda0ce338be45d3eca
[ { "role": "system", "content": "# Role\n- You are Dr. Amanda Hall, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
2,694
Two stars are being studied. It has been observed that iron atoms in the photosphere of star_1 are twice as excited in a specific energy level when compared to the iron atoms in star_2. In fact, the energy difference between the considered energy levels was determined to be approximately 1.38 x 10^(-23) J. Assuming tha...
C
C
f5b78faa76c5473aa09769a412dfd0b3
[ { "role": "system", "content": "# Role\n- You are Edward Patterson, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
false
false
1
4,339
In an industrial research lab, a scientist performs ethylene polymerization with a homogeneous organometallic catalyst system, generating a polymer of high density. He intends to add a second catalyst system to introduce regular branches in the polymer backbone, also only using ethylene as the reactant. He consults a s...
A
D
e5c4e913412d4f3886fd09a8fae89a30
[ { "role": "system", "content": "# Role\n- You are Heather Dunn, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 10 ...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
4,085
Enamine reactions include nucleophilic substitutions, electrophilic additions, and the condensation of secondary amines with carbonyl compounds to generate enamines. Enamine reactions are useful techniques for creating complex compounds with specified functional groups and stereochemistry. Mention the product of the fo...
C
C
632a343de5cb4f1fb15aef57301036f7
[ { "role": "system", "content": "# Role\n- You are Jennifer Rios, a contestant on \"Who Wants to Be a Millionaire?\". \n- You have just correctly answered Question 14 and now have $500,000. \n- The next question is the final 15th question - answer it correctly and you win $1,000,000. \n\n## Stakes\n- Your 11...
[ { "type": "function", "function": { "name": "submit_answer", "description": "Submitting final answer to the problem.", "parameters": { "type": "object", "properties": { "answer_letter": { "type": "string", "description": "Letter correspondi...
true
true
2
1,887
If uncertainty in space of electron's location, which is travelling with speed v= 2* 10^8 m/s along x-direction is Δx=0.1 nm . Based on the infromation estimate the minimum uncertainty in the energy ΔE of electron. A. ~10^(-16) J B. ~10^(-18) J C. ~10^(-19) J D. ~10^(-17) J
A
A
4041b84cc5194141844370f9cb559c7a
End of preview. Expand in Data Studio

Benchmark of cyankiwi/Qwen3.5-27B-AWQ-4bit against fingertap/GPQA-Diamond dataset.

Accuracy: 76.3% with Python tool.

Metric Value
Correct 151
Incorrect 46
Errors 1
Total samples 198
Python tool calls 225
Total completion tokens 659,879

Raw stats:

{
  "accuracy": 0.763,
  "correct": 151,
  "incorrect": 46,
  "error": 1,
  "total": 198,
  "python_tool_calls": 225,
  "completion_tokens": 659879
}
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