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197182
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Percentage Question: Calculate the percentage by mass of sulfur in tetraoxosulphate(IV) acid, {eq}\rm H_2SO_4{/eq}.
33%
{ "answer_type": "Percentage", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1488964
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Integer Question: Test the series for convergence or divergence. Show work. {eq}\sum_{n=1}^{\infty} \frac{(-4)^n}{n^n} {/eq}
0
{ "answer_type": "Integer", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
80643
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Float Question: What is the volume of #"0.220 mols"# of carbon monoxide gas found at STP?
5.00 L
{ "answer_type": "Float", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
2030114
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] University [AnswerType] Multiple Choice Question: Schwartz and Dockery (1992) find that reducing the pollution level in Philadelphia by the 100 micrograms per cubic meter...
b
{ "answer_type": "Multiple Choice", "category": "Other", "difficulty": "University", "difficulty_3way": "Hard" }
rule
165597
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Psychology [Difficulty] University [AnswerType] Multiple Choice Question: Researchers have studied the characteristics of individuals with eating disorders, and overall they found that thos...
d
{ "answer_type": "Multiple Choice", "category": "Psychology", "difficulty": "University", "difficulty_3way": "Hard" }
rule
2025062
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] Senior High School [AnswerType] Expression Question: How to calculate GPA?
GPA = (Sum of (credits * grade points)) / total credits
{ "answer_type": "Expression", "category": "Other", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
590454
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: The potential is 12.96 MV at point b. The work done by the electric field is -6.42 MeV in moving a positive ion (charge ...
10.8 MV
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1913990
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Write the balanced equation for the reaction that occurs when aqueous hydrobromic acid is added to a solution of ...
2HBr(aq) + (NH4)2S(aq) -> 2NH4Br(aq) + H2S(g)
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
372455
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Boolean Question: Indicate whether the statement is true or false. Trade accounts are the equivalent of a credit card that is issued by...
true
{ "answer_type": "Boolean", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
2040990
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Philosophy [Difficulty] University [AnswerType] Multiple Choice Question: Tandy works in the legal department for SportCity, a chain of health clubs with a large regional office. In additio...
C
{ "answer_type": "Multiple Choice", "category": "Philosophy", "difficulty": "University", "difficulty_3way": "Hard" }
rule
731443
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Write the net ionic equation for the reaction between metallic sodium and water using the smallest whole number c...
2Na (s) + 2H_2O (l) → 2Na+ (aq) + 2OH- (aq) + H_2 (g)
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
938755
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Integer Question: Goody Co. had the following capital structure during year 1 and year 2: -Preferred stock, $10 par, 4% cumulative, 25,...
$6,000
{ "answer_type": "Integer", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1677998
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Fraction Question: Use cylindrical coordinates to set up an integral, with limits of integration, that could be used to find the value of {e...
18\pi /5
{ "answer_type": "Fraction", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
102620
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] Expression Question: Explain the Rule of 72 in your own words. Show from where does 72 come.
D = 72/R
{ "answer_type": "Expression", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
131852
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: Three charges, {eq}Q_1,\ Q_2 {/eq} and {eq}Q_3 {/eq} are located on a straight line. The charge {eq}Q_3 {/eq} is located...
-0.779m
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
668430
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: What is the moment of inertia of electric dipole?
[\frac{d}{m_1+m_2}]^2\cdot (m_1m_2^2+m_2m_1^2)
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
137014
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Law [Difficulty] Senior High School [AnswerType] Boolean Question: A QTIP Trust is a trust income that must be paid to the spouse or other designated beneficiary at least annually. True or ...
False
{ "answer_type": "Boolean", "category": "Law", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1364787
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Junior High School [AnswerType] Percentage Question: Managers can spend up to _____% of their time in meetings. a. 15 b. 30 c. 50 d. 80
50
{ "answer_type": "Percentage", "category": "Business", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
550679
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Junior High School [AnswerType] Boolean Question: Does a CPA's boss have to be a CPA himself? Explain.
No
{ "answer_type": "Boolean", "category": "Business", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
235955
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] List Question: What causes the demand for labor to shift?
1. Technological advancements 2. Consumer preferences 3. Prices of goods
{ "answer_type": "List", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
2024634
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] History [Difficulty] Senior High School [AnswerType] List Question: What European industries benefited from African resources?
Textile mills, food industries, beauty industry, and all industries benefited from petroleum as fuel.
{ "answer_type": "List", "category": "History", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1099830
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Biology [Difficulty] Senior High School [AnswerType] List Question: What's a specific cellular process that would be affected by a glucose shortage
Cellular respiration and Active transport
{ "answer_type": "List", "category": "Biology", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1822014
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: A 150 g iron ball is dropped into a cavity in a block of ice. The cavity is then found to contain 21 g of water. Ca...
3.21(Ti) J/g.°C
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1897492
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Fraction Question: Use the divergence theorem to evaluate {eq}\displaystyle \iint_{S} \vec{F} \cdot d\vec{S} {/eq}, where {eq}\vec{F} = \lef...
5π/2
{ "answer_type": "Fraction", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
550270
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: A Ping-Pong ball has a mass of 2.3 g and a terminal speed of 9.2 m/s. The drag force is of the form bv2 What is the...
b = 0.5Cρ
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1969900
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] List Question: Why do countries impose restrictions on foreign ownership of domestic firms?
To prevent complete foreign control over firms, maximize domestic profits, and foster domestic economic growth.
{ "answer_type": "List", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1636570
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] University [AnswerType] Multiple Choice Question: Claire is having trouble understanding what her manager is asking her to do. She thinks she may have set him down, but s...
d
{ "answer_type": "Multiple Choice", "category": "Other", "difficulty": "University", "difficulty_3way": "Hard" }
rule
1161840
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A very large electric current can flow inside a tornado from the clouds to the ground. If the magnetic field is measured...
674.73 A
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1485695
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Float Question: On December 31, 20x4, you purchase a building for $2,676,112. The building's useful life is expected to be 34 years aft...
$2,482,444
{ "answer_type": "Float", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1989653
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] List Question: Block A and block B are forced together, compressing a spring with spring constant k = 2500 N/m between them 3.00 cm from...
v_a = -7.5 m/s, v_b = 2.5 m/s
{ "answer_type": "List", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1769146
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: I want to find a general expression for $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$.
$\sum_{n=0}^{\infty} \left( \frac{3}{16}(-1)^n+\frac{1}{8}(-1)^n (n+1) +\frac{3}{16}+\frac{1}{4}(n+1)+\frac{1}{8}(n+1)(n+2) \right)x^n$
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
920919
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] Expression Question: Suppose {eq}Q^{S} = 10 + 0.5p {/eq} and {eq}Q^{D} = 20 - 0.5p + 0.2Y {/eq}, where {eq}Y {/eq} is income. Find the...
p=24, Q=22
{ "answer_type": "Expression", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1054863
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Write a balanced equation predicting potential products (if any) when sodium oxide is carefully stirred into wate...
NaO + H_2O → 2NaOH
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
2091902
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Let $x^3+ax^2y+bxy^2+y^3=0$. Find $y'$ at the point $M(0,0)$.
m satisfies the cubic equation $1+am+bm^2+m^3=0$
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
2085030
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Finance [Difficulty] Senior High School [AnswerType] Float Question: You are trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be invested at your bank. The bank...
70.02 Years
{ "answer_type": "Float", "category": "Finance", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1299320
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Evaluate the line integral {eq}\int x^2ds over the path from (1,0) to (0,1) given by {eq}C1: y= In (x) , 1 \leq x \leq ...
(1/3)*((1+e^2)^(3/2)-2^(3/2)-e^3)
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
1649675
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Psychology [Difficulty] University [AnswerType] Multiple Choice Question: Which of the following is a condition that encourages attitude change according to research by Aronson and others? ...
d
{ "answer_type": "Multiple Choice", "category": "Psychology", "difficulty": "University", "difficulty_3way": "Hard" }
rule
638546
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] History [Difficulty] Junior High School [AnswerType] Integer Question: How long did the Siege of Constantinople last?
53 days
{ "answer_type": "Integer", "category": "History", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
1539459
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: The resonant frequency of an RCL circuit is 3.3 kHz, and the value of the inductance is 10.0 mH. What is the resonant fr...
4.8e3 Hz
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1595291
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Philosophy [Difficulty] University [AnswerType] Multiple Choice Question: Positivists believe that: a. doing well is based on the specific set of circumstances pertaining to that issue b. d...
b
{ "answer_type": "Multiple Choice", "category": "Philosophy", "difficulty": "University", "difficulty_3way": "Hard" }
rule
1020899
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: Randy an Deborah are standing at one end of a basketball court, each with a basketball. Randy rolls his basketball so th...
8.2 m/s
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1194414
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Health [Difficulty] University [AnswerType] Multiple Choice Question: The unlicensed assistive personnel tells the nurse that it is unreasonable to expect a response to all call lights with...
A
{ "answer_type": "Multiple Choice", "category": "Health", "difficulty": "University", "difficulty_3way": "Hard" }
rule
1194465
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: The water behind hoover Dam in Nevada is 206 m higher than the Colorado River below it. At what rate must water pass thr...
49483.8831 kg/s
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
954158
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] Junior High School [AnswerType] Boolean Question: Is the family unit an organization?
Yes, if there is a shared common purpose.
{ "answer_type": "Boolean", "category": "Other", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
1066849
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Psychology [Difficulty] Senior High School [AnswerType] Multiple Choice Question: Viewing sexually violent movies _______ men to brutality and results in _______ for domestic violence victi...
C
{ "answer_type": "Multiple Choice", "category": "Psychology", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1162835
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Junior High School [AnswerType] Expression Question: Balance the following chemical equation: {eq}KI + Cl_2 \to KCl + I_2 {/eq}
2KI + Cl2 -> 2KCl + I2
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rlpr
713117
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Biology [Difficulty] Senior High School [AnswerType] List Question: Which two factors of a molecule determine whether or not it can cross the membrane?
Charge & Size
{ "answer_type": "List", "category": "Biology", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
857654
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Integer Question: A huge explosion is heard 81 kilometers away. How long does it take the sound to travel that far? (Assume ambient air ...
234 s
{ "answer_type": "Integer", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
346145
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A stone is thrown upwards from the roof with a velocity of 15 ms{eq}^{-1} {/eq} at an angle of 30 degrees to the horizon...
31.8 m/s
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
69836
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Float Question: What is the pH of {eq}\rm 0.10\ M\ CH3COO^- {/eq}?
8.87
{ "answer_type": "Float", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
744885
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] University [AnswerType] List Question: Rank the conjugate bases from most stable to least stable. To rank items as equivalent, overlap them. {eq}\rm CH_3COO^-,\ CH_3C...
FSO3- > CH3SO3- > CH3SO2- > CH3COO- > CH3CONH-
{ "answer_type": "List", "category": "Chemistry", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
1672363
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] Primary School [AnswerType] Multiple Choice Question: Read the sentences. The decision to ride the Ferris wheel was unanimous. All of us could ride it together. How could...
A
{ "answer_type": "Multiple Choice", "category": "Other", "difficulty": "Primary School", "difficulty_3way": "Easy" }
rule
287838
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Fraction Question: Find the volume of the solid obtained by rotating the region bounded by the curves {eq}y= \frac{1}{x^4},y=0,x=3,x=6{/eq} ...
\frac{41\pi }{324}
{ "answer_type": "Fraction", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
422790
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A shopper in a supermarket pushes a cart with a force of 37 N directed at an angle of 25 degrees downward from the horiz...
1810.8 J
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
40840
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: I am trying to solve the following question by getting my variables, etc mixed up. F for velosity of an ant walking...
T= \frac14 \sqrt[3]{121}
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1909614
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Finance [Difficulty] Senior High School [AnswerType] Integer Question: Diane Ross has $20,000 to invest today at 9$ to pay a debt of $47,347. How many years will it take her to accumulate e...
10 years
{ "answer_type": "Integer", "category": "Finance", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
641326
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] Multiple Choice Question: The price of apples increases from $1 to $1.10. At the same time, the quantity of apples demanded decreases ...
C
{ "answer_type": "Multiple Choice", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
191833
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Junior High School [AnswerType] Expression Question: How do you find revolutions when you have radius and distance?
N = \dfrac{2\pi r}{l}
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rlpr
439354
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Write an equation showing the bicarbonate ion acting as an acid.
NaOH + HOCO_3^- --> H_2O + NaOCO_3^-
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1876854
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: How do I find a parameterization of a unit circle in R3 centered at (1, -1, 3) and in the plane x+2y-z+4 = 0?
r(θ) = a + cos(θ)e₁ + sin(θ)e₂
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
1763299
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: Three identical uniform meter sticks are placed on the floor. The first stick lies along the y-axis from y = 0.320 ...
(0.383, 0.401) m
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1900893
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] List Question: Determine a 95% confidence interval for the true proportion of the given population that smokes, given that among 650 randoml...
(0.188, 0.250)
{ "answer_type": "List", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
2005113
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Is there a way to represent the sum of exponentials $$ a (e^{iwt}+e^{-iwt})+b (e^{i2wt}-e^{-i2wt})+c (e^{i3wt}+e^{-i3wt...
(a-3c)(e^{iwt}+e^{-iwt})+c(e^{iwt}+e^{-iwt})^3+b(e^{iwt}+e^{-iwt})(e^{iwt}-e^{-iwt})
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
201585
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Expression Question: Define the expanded accounting equation.
Assets = Liabilities + Owner's equity + Revenue - Expenses - Dividends - Owner's drawings
{ "answer_type": "Expression", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
407840
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Boolean Question: Below double integrals are always equal. {eq}\int\limits_{0}^{1}{\int\limits_{y}^{1}{f\left( x,y \right)dxdy=}}\int\limits...
b
{ "answer_type": "Boolean", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
1962443
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Boolean Question: If $f$ is a non-negative measurable function, $E$ is a measurable set and $c$ is a constant $0 \leq c < \infty$, then $\in...
No, c can be infinity
{ "answer_type": "Boolean", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
844709
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] List Question: What are the spectator ion(s) in the following reaction? Cu(OH){eq}_2 {/eq}(s) + 2H{eq}^+ {/eq}(aq) + 2Cl(aq) {eq}\to {...
2Cl-(aq)
{ "answer_type": "List", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1653338
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Multiple Choice Question: ​keisha is an employee of leeway corporation. she uses social media in a way that violates her employer’s sta...
b) within Leeway's rights as an employer.
{ "answer_type": "Multiple Choice", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1499739
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] Senior High School [AnswerType] Expression Question: Explain how to calculate the marginal cost.
MC=TC_n-TC_{n-1}
{ "answer_type": "Expression", "category": "Economics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
985472
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Express the rate of the following reaction: {eq}CH_4(g) + 2O_2(g) \to CO_2(g) + 2H_2O(g) {/eq}
rate = -d[CH4]/dt = -(1/2)d[O2]/dt = d[CO2]/dt = (1/2)d[H2O]/dt
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1029133
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A proton moving with speed v enters a narrow (1.0 cm wide) region of magnetic field perpendicular to the direction of th...
3.41*10^-5 T
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
718896
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Expression Question: At time t, a projectile launched with an angle of elevation {eq}\theta {/eq} and initial velocity {eq}v_0 {/eq} has...
x(t) = 60 cos(36)t and y(t) = 60 sin(36)t - 16t^2
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
597156
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] Senior High School [AnswerType] Expression Question: How to calculate the angle between two persons standing on two different sides of the earth? Specifically, the angle ...
A= \cos^{-1} \left( \dfrac{b^2+c^2-a^2}{2bc} \right)
{ "answer_type": "Expression", "category": "Other", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
2051291
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Expression Question: What is the formula for calculating return on investment (ROI)?
ROI = Profit / Average Investment
{ "answer_type": "Expression", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
502417
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Evaluate the integral. $$\int 9x \sqrt{1 - x^{4}} \, dx$$
\frac{9}{4}\sin^{-1}(x^{2})+\frac{9x}{4}\sqrt{1 - x^{4}}+C
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
895517
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A 97 kg man lying on a surface of negligible friction shoves a 62 g stone away from himself, giving it a speed of 2.6 m/...
1.7e-3 m/s
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1118990
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Draw the products of benzoic acid reacting with sodium hydroxide.
C6H5COO- Na+
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1124348
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: Some very hot rocks have a temperature of #280 ^o C# and a specific heat of #40 J/(Kg*K)#. The rocks are bathed in #30 L...
9404.2kg
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1537788
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Multiple Choice Question: Employees who band together to have their vacation schedule altered or to support a peer who has been fired f...
A
{ "answer_type": "Multiple Choice", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
415557
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Use the Chain Rule to find {eq}dw/dt {/eq}. {eq}w = ln \sqrt{x^2+y^2+z^2}, \ \ x=5 \sin t, \ \ y=9 \cos t, \ \ z=8 \tan...
\frac{dw}{dt}=\frac{x}{x^2+y^2+z^2} \cdot 5\cos t-\frac{y}{x^2+y^2+z^2} \cdot 9\sin t+\frac{z}{x^2+y^2+z^2} \cdot 8\sec^2 t
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
1832749
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Express the limit as a definite integral on the given interval: {eq}\displaystyle \lim_{n\to\infty} \sum \limits_{i=1}^...
{eq}\int_0^5 x\ln(1+x^2)dx{/eq}
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
437529
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Junior High School [AnswerType] Expression Question: What is the series equivalent of two 1000 W resistors in series?
2000Ohm
{ "answer_type": "Expression", "category": "Physics", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rlpr
1665112
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] History [Difficulty] Junior High School [AnswerType] Boolean Question: Is feudalism a type of government?
Yes
{ "answer_type": "Boolean", "category": "History", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
775119
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] University [AnswerType] Multiple Choice Question: Deboer Company, which has only one product, has provided the following data concerning its most recent month of opera...
B
{ "answer_type": "Multiple Choice", "category": "Business", "difficulty": "University", "difficulty_3way": "Hard" }
rule
2097856
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Computer Science [Difficulty] Junior High School [AnswerType] Expression Question: See the table below. What function can be used to compute total revenue? Product Price Units Sold Cake $7....
=SUMPRODUCT(B2:B5,C2:C5)
{ "answer_type": "Expression", "category": "Computer Science", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rlpr
997649
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: Suppose a soccer player kicks the ball from a distance 35 m in the direction of the goal. Find the initial speed of the ...
19 m/s
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
156207
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Finance [Difficulty] University [AnswerType] Multiple Choice Question: Which of the following statements is not considered a potential answer to the dividend puzzle (why do corporations pay...
a
{ "answer_type": "Multiple Choice", "category": "Finance", "difficulty": "University", "difficulty_3way": "Hard" }
rule
145576
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Mathematics [Difficulty] University [AnswerType] Expression Question: Why is $X^{-1}(XY)^{1/2}=X^{-1/2}(X^{1/2} Y X^{1/2})^{1/2} X^{-1/2}$, where $X$ and $Y$ are symmetric and positive defi...
$X^{-1}(XY)^{\frac{1}{2}}=X^{-\frac{1}{2}}(X^{\frac{1}{2}}YX^{\frac{1}{2}})^{\frac{1}{2}}X^{-\frac{1}{2}}$
{ "answer_type": "Expression", "category": "Mathematics", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
1209937
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Finance [Difficulty] University [AnswerType] List Question: An investor purchases a stock for $38 and a put for $.50 with a strike price of $35. The investor sells a call for $.50 with a st...
Maximum profit: $2 Maximum loss: -$3
{ "answer_type": "List", "category": "Finance", "difficulty": "University", "difficulty_3way": "Hard" }
rlpr
882351
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] List Question: What are some carbon oxidation reactions?
C(s)+O_2(g)rarrCO_2(g) H_3C-CH_2OH +O_2 rarr H_3C-CO_2H+H_2O
{ "answer_type": "List", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
55453
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Other [Difficulty] Junior High School [AnswerType] Boolean Question: Is Fatima Muslim in Behind the Beautiful Forevers?
Yes
{ "answer_type": "Boolean", "category": "Other", "difficulty": "Junior High School", "difficulty_3way": "Easy" }
rule
18029
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Finance [Difficulty] University [AnswerType] Percentage Question: Find the internal rate of return (IRR) for the following series of future cash flows. The initial outlay is $690,200. Year ...
4.08%
{ "answer_type": "Percentage", "category": "Finance", "difficulty": "University", "difficulty_3way": "Hard" }
rule
935570
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Multiple Choice Question: Use the tax rate taken from exhibit 11.6 (below) to calculate the total taxes paid for Lansing Inc., this yea...
c
{ "answer_type": "Multiple Choice", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1046272
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Business [Difficulty] Senior High School [AnswerType] Expression Question: How do you find ending inventory on a balance sheet?
Ending inventory = Beginning inventory + Purchases - Cost of goods sold
{ "answer_type": "Expression", "category": "Business", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
695390
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Economics [Difficulty] University [AnswerType] Float Question: The market demand for yo-yos is given by {eq}X(p,m) = 4 - 2p + \frac{1}{100}m {/eq}, where p is the price of yo-yos and m is t...
0.99
{ "answer_type": "Float", "category": "Economics", "difficulty": "University", "difficulty_3way": "Hard" }
rule
570145
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Biology [Difficulty] Senior High School [AnswerType] Boolean Question: Can parasites live without a host?
Yes
{ "answer_type": "Boolean", "category": "Biology", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
1232497
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Balance the following reaction in basic solution: {eq}H_2O_2(aq) + ClO_2(aq) \to ClO_2^-(aq) + O_2(g) {/eq}
2OH^- (aq) + 2ClO_2 (aq) + H_2O_2 (aq) -> O_2 (g) + 2ClO_2^- (aq) + 2H_2O (l)
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1214805
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Chemistry [Difficulty] Senior High School [AnswerType] Expression Question: Balance the following equation: {eq}N_2H_4 + N_2O_4 \to N_2 + H_2O {/eq}
2N_2H_4 + N_2O_4 -> 3N_2 + 4H_2O
{ "answer_type": "Expression", "category": "Chemistry", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rlpr
1609520
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Philosophy [Difficulty] University [AnswerType] Multiple Choice Question: What step comes before ethical judgment in the ethical cycle? a. moral problem statement b. options for actions c. ...
b
{ "answer_type": "Multiple Choice", "category": "Philosophy", "difficulty": "University", "difficulty_3way": "Hard" }
rule
121660
You MUST answer in English. Return EXACTLY: <reasoning>model_thinking_trace</reasoning> <answer>model_answer</answer> [Category] Physics [Difficulty] Senior High School [AnswerType] Float Question: A {eq}0.168 \ kg {/eq} hockey puck slides at {eq}11.4 \ m/s {/eq}. What is the work needed to stop the puck?
-10.92 J
{ "answer_type": "Float", "category": "Physics", "difficulty": "Senior High School", "difficulty_3way": "Medium" }
rule
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