data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 14
values | reward_model dict | extra_info dict |
|---|---|---|---|---|
WebInstruct-verified | [
{
"content": "If the firm could reduce the average age of its inventory from 73 days, to 63 day, by how much would it reduce its dollar investment in working capital?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Business | {
"ground_truth": "2.74%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Business",
"completion_tokens": 153,
"difficulty": "Senior High School",
"id": "1904374",
"prompt_tokens": 799,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to consider the nature... |
WebInstruct-verified | [
{
"content": "A sump pump (used to drain water from the basement of houses built below the water table) is draining a flooded basement at the rate of 0.95 L/s, with an output pressure of 3.25 {eq}\\times\n\n{/eq} 10{eq}^5\n\n{/eq} N/m{eq}^2\n\n{/eq}. The water enters a hose with a 2.8 cm inside diameter and ris... | Physics | {
"ground_truth": "2.97e5 N/m^2",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 241,
"difficulty": "Senior High School",
"id": "616193",
"prompt_tokens": 889,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components invo... |
WebInstruct-verified | [
{
"content": "The hollow plastic sphere at right has inner radius a, outer radius b, and uniform charge density \\rho. Find the electric potential difference between a and b.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "-(\\rho/(3*\\epsilon_0)) * (3*a^2/2 - b^2/2 - a^3/b)",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 166,
"difficulty": "University",
"id": "565029",
"prompt_tokens": 797,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the complexity and th... |
WebInstruct-verified | [
{
"content": "A student measures the {eq}\\rm\n\nAl^{3+}\n\n{/eq} concentration in a saturated aqueous solution of aluminum hydroxide to be {eq}\\rm\n\n2.84 \\times 10^{-9}\\ M\n\n{/eq}.\n\nBased on her data, the solubility product constant for aluminum hydroxide is _____.\nPlease reason step by step, and put y... | Chemistry | {
"ground_truth": "1.76e-33",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 182,
"difficulty": "Senior High School",
"id": "1241169",
"prompt_tokens": 833,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider what is being a... |
WebInstruct-verified | [
{
"content": "The revenues and expenses of Ousel Travel Service for the year ended November 30, 2016, follow.\n\n\nFees earned$742,000\nOffice expense309,000\nMiscellaneous expense12,000\nWages expense461,000\nPrepare an income statement for the year ended November 30.\nPlease reason step by step, and put your ... | Business | {
"ground_truth": "Net loss: ($40,000)",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Business",
"completion_tokens": 113,
"difficulty": "Senior High School",
"id": "1622905",
"prompt_tokens": 827,
"reasoning_score": 3,
"reasoning_score_response": "To prepare an income statement based on the provided revenues and expenses, one must understand the ... |
WebInstruct-verified | [
{
"content": "Assuming that the gases are ideal, calculate the amount of work done (in joules) in the following reaction. Is work done on or by the system?\n\nA reaction in the Mond process for purifying nickel(0) tetracarbonyl at {eq}50-100 ^{\\circ} C\n\n{/eq}.\n\nAssume one mole of nickel is used and a const... | Chemistry | {
"ground_truth": "8684J",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Chemistry",
"completion_tokens": 239,
"difficulty": "Senior High School",
"id": "2004481",
"prompt_tokens": 885,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the complexit... |
WebInstruct-verified | [
{
"content": "Use Work and Mechanical Energy to derive the expression for the experimentally determined moment of inertia.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "I=m[\\frac{v^2-u^2}{\\omega_i^2-\\omega_f^2}]+2mg[\\frac{h_f-h_i}{\\omega_i^2-\\omega_f^2}]",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 140,
"difficulty": "University",
"id": "1628036",
"prompt_tokens": 782,
"reasoning_score": 3,
"reasoning_score_response": "To derive the expression for the experimentally determined moment of inertia using work and mechanical ene... |
WebInstruct-verified | [
{
"content": "A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and are then released at the same moment. The system then oscillates on a frictionless, horizontal table. The... | Physics | {
"ground_truth": "5Cq^2/9d",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 187,
"difficulty": "University",
"id": "752663",
"prompt_tokens": 887,
"reasoning_score": 4,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the complexity and de... |
WebInstruct-verified | [
{
"content": "How much energy is produced when the sun converts one kg of hydrogen into helium?.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "6.3e14 J",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 145,
"difficulty": "Senior High School",
"id": "540001",
"prompt_tokens": 781,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question \"How much energy is produced when the sun c... |
WebInstruct-verified | [
{
"content": "How many grams of oxygen form when 2.38 grams of {eq}KClO_3\n\n{/eq} completely reacts?\n\n{eq}2KClO_3 \\to 2KCl + 3O_2\n\n{/eq}\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "0.448 g",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 159,
"difficulty": "Senior High School",
"id": "556738",
"prompt_tokens": 818,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem of how many grams of oxygen form when 2.38 grams of KClO₃ completely reacts, one ... |
WebInstruct-verified | [
{
"content": "The balance sheet caption for common stock is as follows. What accounts for the difference between issued shares and outstanding shares?\n\n\n Common stock, $10 par value 7,000,000 shares authorized\n 5,700,000shares issued\n 5,500,000 shares outstanding\nPlease reason step by step, and put you... | Business | {
"ground_truth": "Treasury shares",
"style": "rule"
} | {
"answer_type": "String",
"category": "Business",
"completion_tokens": 197,
"difficulty": "University",
"id": "2029325",
"prompt_tokens": 825,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question regarding the difference between issued shares an... |
WebInstruct-verified | [
{
"content": "The allowance account before adjustment has a debit balance of $5,700. Bad debt expense for the upcoming year is estimated to be 3% of net sales, which is $162,600.\nWhat is the amount of the adjusting entry to provide for doubtful accounts?\nPlease reason step by step, and put your final answer w... | Business | {
"ground_truth": "$10,578",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Business",
"completion_tokens": 256,
"difficulty": "Senior High School",
"id": "88656",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components invo... |
WebInstruct-verified | [
{
"content": "The financial statements of Pouchie Co. included the following information for the year ended December 31, 2010 (amounts in millions):\n\n\nDepreciation and amortization expense $269\nCash dividends declared and paid 337\nPurchase of equipment 824\nNet income 390\nBeginning cash balance 107\nProce... | Business | {
"ground_truth": "Net Cash provided by operating activities: $735\nNet cash used by investing activities: $(619)\nNet cash used by financing activities: $(166)\nNet decrease in cash: $(50)\nCash balance on January 1, 2010: $107\nCash balance on December 31, 2010: $57",
"style": "rule"
} | {
"answer_type": "List",
"category": "Business",
"completion_tokens": 157,
"difficulty": "University",
"id": "1771369",
"prompt_tokens": 892,
"reasoning_score": 3,
"reasoning_score_response": "To prepare a statement of cash flows using the indirect method, one must have a solid understanding of financia... |
WebInstruct-verified | [
{
"content": "An ammonia molecule has a permanent electric dipole moment of {eq}5 \\times 10^{-30} \\; C \\cdot m\n\n{/eq}. A proton is 1.80 nm from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?\nPlease reason step by step, and put your final answer... | Physics | {
"ground_truth": "12.35e-13 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 219,
"difficulty": "University",
"id": "1356585",
"prompt_tokens": 831,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved in... |
WebInstruct-verified | [
{
"content": "An aqueous solution contains {eq}\\rm\n\n0.311\\ M\n\n{/eq} methylamine {eq}\\rm\n\n(CH_3NH_2)\n\n{/eq}. How many {eq}\\rm\n\nmL\n\n{/eq} of {eq}\\rm\n\n0.316\\ M\n\n{/eq} nitric acid would have to be added to {eq}\\rm\n\n250\\ mL\n\n{/eq} of this solution in order to prepare a buffer with a pH of... | Chemistry | {
"ground_truth": "53.7 mL",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 211,
"difficulty": "University",
"id": "2063830",
"prompt_tokens": 874,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, one needs to apply knowledge of buffer solutions and the Henderson-Hasselbalch equatio... |
WebInstruct-verified | [
{
"content": "An object, after being released from its circular path, travels the distance OA at the same time it would have moved from O to P on the circle. The speed of the object on and off the circle remains constant at the same value. Suppose that the radius of the circle is 3.6 m and the angle is 25C. Wha... | Physics | {
"ground_truth": "1.570 m",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 237,
"difficulty": "Senior High School",
"id": "1247821",
"prompt_tokens": 840,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components inv... |
WebInstruct-verified | [
{
"content": "A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,500 N#. If the plane's incline is #(3 pi )/8 # and the coefficient of friction is #7/4 #, what is the maximum mass that can be pulled up at one time?\nPlease reason step by step, and put your final answer within... | Physics | {
"ground_truth": "224.1kg",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 175,
"difficulty": "Senior High School",
"id": "953743",
"prompt_tokens": 831,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components invo... |
WebInstruct-verified | [
{
"content": "A race car is making a U-turn at constant speed. The coefficient of friction between the tires and the track is 1.89. If the radius of the curve is 16.1 m, what is the maximum speed at which the car can turn without sliding? Assume that the car is performing uniform circular motion.\nPlease reason... | Physics | {
"ground_truth": "17.26 m/s",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 219,
"difficulty": "Senior High School",
"id": "1948663",
"prompt_tokens": 830,
"reasoning_score": 3,
"reasoning_score_response": "To determine the maximum speed at which the race car can make a U-turn without sliding, we need to appl... |
WebInstruct-verified | [
{
"content": "Two flat surfaces are exposed to a uniform, horizontal magnetic field of magnitude 0.50 T. When viewed edge-on, the first surface is tilted at an angle of 11 degrees from the horizontal, and a net magnetic flux of {eq}8.20 \\times 10^{-3}\n\n{/eq} Wb passes through it. The same net magnetic flux p... | Physics | {
"ground_truth": "0.086 m^2",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 264,
"difficulty": "Senior High School",
"id": "484912",
"prompt_tokens": 853,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components invo... |
WebInstruct-verified | [
{
"content": "Determine the time required for a 1.25 cm diameter Carbon Steel (1% C) sphere to cool from 500 {eq}^o{/eq}C to 100 {eq}^o{/eq}C if exposed to a cooling airflow at 25 {eq}^o{/eq}C. Assume h = 110 W/m{eq}^2{/eq}-K. Assume the thermal conductivity of 1% C steel is 40 W/m-K.\nPlease reason step by ste... | Physics | {
"ground_truth": "128.99s",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 165,
"difficulty": "University",
"id": "1678101",
"prompt_tokens": 864,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the complexity and the de... |
WebInstruct-verified | [
{
"content": "A project will produce cash inflows of $1,750 a year for four years. The project initially costs $10,600 to get started. In year five, the project will be closed and as a result should produce a cash inflow of $8,500. What is the net present value of this project if the required rate of return is ... | Finance | {
"ground_truth": "-$1,300",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Finance",
"completion_tokens": 162,
"difficulty": "University",
"id": "1507858",
"prompt_tokens": 842,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the net present value (NPV) of the project, one must apply the formula for NPV, which involves di... |
WebInstruct-verified | [
{
"content": "Hall Company's fixed budget performance report for June follows.\n\nThe $660,000 budgeted expenses include $450,000 variable expenses and $210,000 fixed expenses. Actual expenses include $200,000 fixed expenses.\n\nPrepare a flexible budget performance report that shows any variances between budge... | Business | {
"ground_truth": " Accounts titleFlexible budget (A)Actual results (B)Variance (C = A - B)Favorable/Unfavorable\n Sales632,000647,80015,800Unfavorable\nLess: Variable costs395,000406,85011,850Unfavorable\n Contribution margin237,000240,9503,950Unfavorable\nLess: Fixed costs210,000200,00010,000Favorable\n Income ... | {
"answer_type": "Other",
"category": "Business",
"completion_tokens": 232,
"difficulty": "University",
"id": "969019",
"prompt_tokens": 910,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to analyze the task at hand. The que... |
WebInstruct-verified | [
{
"content": "I want to correct visual odometry (VO) trajectory with GPS and assign each point of the VO curve a computed GPS coordinate. Data I have: I have a curve that represents the VO trajectory (blue in the picture) - this trajectory was calculated via some computer vision algorithms and I know coordinate... | Other STEM | {
"ground_truth": "$f(\\begin{bmatrix} x \\\\ y \\end {bmatrix}) = S + \\frac{\\|G-S \\|}{\\|F-S\\|}R (\\begin{bmatrix} x \\\\ y \\end {bmatrix} - S)$",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Other STEM",
"completion_tokens": 211,
"difficulty": "University",
"id": "1823993",
"prompt_tokens": 915,
"reasoning_score": 4,
"reasoning_score_response": "To solve the problem of correcting the visual odometry (VO) trajectory with GPS coordinates, we need to... |
WebInstruct-verified | [
{
"content": "The following data refer to Industrial Manufacturing Pty Ltd for the current year:\n\n \n \n \n Sales revenue \n $3,157,500 \n \n \n Raw material inventory, 1 January \n 133,500 \n \n \n Purchases of raw material \n 1,096,500 \n \n \n Raw material inventory, 31 D... | Business | {
"ground_truth": "$45,000 reduction",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Business",
"completion_tokens": 192,
"difficulty": "University",
"id": "1432523",
"prompt_tokens": 1114,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to analyze the complexity and th... |
WebInstruct-verified | [
{
"content": "Four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are {eq}m_1 = 8.8 \\; kg\n\n{/eq}, {eq}m_3 = 11.44 \\; kg\n\n{/eq}, {eq}m_4 = 16.016 \\; kg\n\n{/eq}, T{eq}_2\n\n{/eq} = 105 N, and T{... | Physics | {
"ground_truth": "14.27 kg",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 199,
"difficulty": "Senior High School",
"id": "66581",
"prompt_tokens": 895,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to analyze the forces acting on the penguins and apply Newton's laws of mot... |
WebInstruct-verified | [
{
"content": "You bought one of Great White Shark Repellant Co.'s 8 percent coupon bonds one year ago for $760. These bonds make annual payments and mature 12 years from now. Suppose you decide to sell your bonds today, when the required return on the bonds is 9 percent. If the inflation rate was 3.4 percent ov... | Finance | {
"ground_truth": "29.28%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Finance",
"completion_tokens": 270,
"difficulty": "University",
"id": "190574",
"prompt_tokens": 847,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to analyze the components involv... |
WebInstruct-verified | [
{
"content": "An object of mass m travels along the parabola {eq}y=6x^{2}\n\n{/eq} with a constant speed of {eq}6 \\, units/s\n\n{/eq}. What is the force on the object due to its acceleration at {eq}(2^{\\frac{1}{2}}, 12)\n\n{/eq}?\nPlease reason step by step, and put your final answer within <answer> </answer>... | Physics | {
"ground_truth": "{eq}F = \\frac{432m}{4913}{/eq}",
"style": "rule"
} | {
"answer_type": "Fraction",
"category": "Physics",
"completion_tokens": 277,
"difficulty": "University",
"id": "84215",
"prompt_tokens": 836,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved i... |
WebInstruct-verified | [
{
"content": "Calculate the present value of $15,000 received in 5 years discounted at 8%.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Business | {
"ground_truth": "$10,207.5",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Business",
"completion_tokens": 174,
"difficulty": "Senior High School",
"id": "1614663",
"prompt_tokens": 784,
"reasoning_score": 3,
"reasoning_score_response": "To calculate the present value of $15,000 received in 5 years discounted at 8%, one needs to apply the... |
WebInstruct-verified | [
{
"content": "On July 1, 2017, Metlock Limited issued bonds with a face value of $1,100,000 due in 20 years, paying interest at a face rate of 9% on January 1 and July 1 each year. The bonds were issued to yield 11.00%. The company's year-end was September 30. The company used the effective interest method of a... | Business | {
"ground_truth": "$176,468.05",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Business",
"completion_tokens": 262,
"difficulty": "University",
"id": "129410",
"prompt_tokens": 857,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to analyze the components involved i... |
WebInstruct-verified | [
{
"content": "Find the pH of a one-liter aqueous solution to which has been added 0.2 moles of acetic acid ({eq}CH_3COOH\n\n{/eq}).\n\nTemperature: 25 degrees Celsius, {eq}pK_a\n\n{/eq} = 4.76, {eq}pK_w\n\n{/eq} = 14.0.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"rol... | Chemistry | {
"ground_truth": "2.7",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 204,
"difficulty": "Senior High School",
"id": "1752791",
"prompt_tokens": 842,
"reasoning_score": 3,
"reasoning_score_response": "To determine the pH of a solution containing acetic acid, we need to apply knowledge of acid-base che... |
WebInstruct-verified | [
{
"content": "Suppose you need to decide whether to keep a machine or replace it with a new one:\n\nOld machine: Old machine can operate for 5 years with operating cost of $120,000 per year.\n\nNew machine: Replacing old machine with new one requires capital cost of $250,000 in year zero (zero salvage value for... | Finance | {
"ground_truth": "-$3357.48",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 244,
"difficulty": "University",
"id": "201749",
"prompt_tokens": 937,
"reasoning_score": 4,
"reasoning_score_response": "To evaluate the problem, we need to analyze the economic implications of keeping the old machine versus replacin... |
WebInstruct-verified | [
{
"content": "A corporate manager decides to build a new store on a lot owned by the corporation that could be sold to a local developer for $250,000. The lot was purchased for $50,000. How do you determine the value of the new store project?\nPlease reason step by step, and put your final answer within <answer... | Economics | {
"ground_truth": "NPV = \\displaystyle \\frac{CF1}{1 + I} + \\frac{CF2}{(1 + I)^2} + \\frac{CF3}{(1 + I)^3} + ... + \\frac{CFn}{(1 + I)^n} - Total\\:initial\\:costs",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Economics",
"completion_tokens": 182,
"difficulty": "University",
"id": "748386",
"prompt_tokens": 817,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to consider the complexity and... |
WebInstruct-verified | [
{
"content": "If 200g of Argon gas (Ar) expands from the initial temperature of 150 degrees Celcius and in the process does 3.15 kJ of work and absorbs 1.52 kJ of heat what is the final temperature of the gas?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"... | Physics | {
"ground_truth": "396.71K",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 214,
"difficulty": "University",
"id": "1754236",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the complexity of the con... |
WebInstruct-verified | [
{
"content": "Write the nuclear equation for lead-209 decaying by beta emission.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "^{209}_{82}Pb \\longrightarrow _{83}^{209} Bi+e^{-}+\\bar{\\nu_e}",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 213,
"difficulty": "Senior High School",
"id": "1404253",
"prompt_tokens": 779,
"reasoning_score": 3,
"reasoning_score_response": "To determine the reasoning score for the question \"Write the nuclear equation for lead-209 decayi... |
WebInstruct-verified | [
{
"content": "Polaris Manufacturing is evaluating an investment in a new drilling machine that would cost $48,000. Polaris estimates that it will realize $12,000 in annual net cash inflows for each year of the machine's 6-year useful life.\n\nWhat is the internal rate of return (IRR) for this proposed investmen... | Business | {
"ground_truth": "12.9780%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Business",
"completion_tokens": 155,
"difficulty": "University",
"id": "197812",
"prompt_tokens": 846,
"reasoning_score": 3,
"reasoning_score_response": "To determine the internal rate of return (IRR) for the proposed investment, one must understand the concep... |
WebInstruct-verified | [
{
"content": "A gun is fired with an angle of elevation of {eq}30^{\\circ}\n\n{/eq}. What is the muzzle speed if the maximum height of the shell is 548 m?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "207.3 m/s",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 288,
"difficulty": "Senior High School",
"id": "727263",
"prompt_tokens": 803,
"reasoning_score": 3,
"reasoning_score_response": "To determine the muzzle speed of a gun fired at an angle of elevation of \\(30^{\\circ}\\) given that th... |
WebInstruct-verified | [
{
"content": "At room temperature, what fraction of the nitrogen molecules in the air are moving at less than 300 m/s?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "0.218",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 169,
"difficulty": "University",
"id": "1323766",
"prompt_tokens": 788,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question, we need to consider the nature of the problem. The... |
WebInstruct-verified | [
{
"content": "A 1700 kg roller coaster car starts from rest at a height H = 20.0 m (see figure) above the bottom of a 15.0 m diameter loop. If friction is negligible, determine the downward force of the rails on the car when the upside-down car is at the top of the loop. N\nPlease reason step by step, and put y... | Physics | {
"ground_truth": "5555.6 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 293,
"difficulty": "Senior High School",
"id": "1171778",
"prompt_tokens": 833,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the physics invol... |
WebInstruct-verified | [
{
"content": "The specific weight {eq}\\frac {wt}{vol}\n\n{/eq} of brass is {eq}520\\frac{Ib}{ft^{3}}\n\n{/eq}. Determine its density {eq}\\frac{mass}{vol}\n\n{/eq} in SI units.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "8327.1 kg/m^3",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 182,
"difficulty": "Senior High School",
"id": "2011553",
"prompt_tokens": 818,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze what is being aske... |
WebInstruct-verified | [
{
"content": "Gundy Company expects to produce 1,204,800 units of Product XX in 2020.\n\n1. Monthly production is expected to range from 90,000 to 126,000 units.\n\n2. Budgeted variable manufacturing costs per unit are direct materials $4, direct labor $6, and overhead $11.\n\n3. Budgeted fixed manufacturing co... | Business | {
"ground_truth": "{\n \"Units produced\": [90000, 108000, 126000],\n \"Variable cost\": {\n \"Direct material\": [360000, 432000, 504000],\n \"Direct labor\": [540000, 648000, 756000],\n \"Overhead\": [990000, 1188000, 1386000],\n \"Total variable cost (A)\": [1890000, 2268000, 2646000]\n },\n \"Fixe... | {
"answer_type": "Matrix",
"category": "Business",
"completion_tokens": 240,
"difficulty": "University",
"id": "262489",
"prompt_tokens": 870,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the complexity and the sk... |
WebInstruct-verified | [
{
"content": "Given the information for Hetrich, Inc. below.\n\nNet income - $154\n\nDepreciation - $48\n\nIssuance of new stock - $11\n\nRepurchase of debt - $18\n\nSale of property - $13\n\nPurchase of equipment - $80\n\nDividend payments - $10\n\nInterest payments - $28\n\nCalculate the operating cash flow. ... | Business | {
"ground_truth": "174",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Business",
"completion_tokens": 195,
"difficulty": "University",
"id": "47296",
"prompt_tokens": 849,
"reasoning_score": 3,
"reasoning_score_response": "To calculate the operating cash flow (OCF) for Hetrich, Inc., we need to use the formula for OCF, which is typ... |
WebInstruct-verified | [
{
"content": "A wooden crate weighs {eq}780 \\ lb\n\n{/eq}. What force is needed to start the crate sliding on a wooden floor when the coefficient of starting friction is {eq}0.40\n\n{/eq}?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "1388 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 182,
"difficulty": "Senior High School",
"id": "2007015",
"prompt_tokens": 812,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply the concept of friction from physics. The force required to star... |
WebInstruct-verified | [
{
"content": "A cash strapped young professional offers to buy your car with four, equal annual payments of $3,000, beginning 2 years from today. Assuming your indifferent to cash versus credit, that you can invest at 10%, and that you want to receive $9,000 for the car, should you accept?\nPlease reason step b... | Finance | {
"ground_truth": "$8,645.09",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 255,
"difficulty": "University",
"id": "1389551",
"prompt_tokens": 828,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved in... |
WebInstruct-verified | [
{
"content": "An engine rejects energy {eq}1,933\\ J\n\n{/eq} to the cold reservoir while performing {eq}731\\ J\n\n{/eq} of work. Calculate the engine's efficiency.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "27.44%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Physics",
"completion_tokens": 325,
"difficulty": "Senior High School",
"id": "1958878",
"prompt_tokens": 806,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the nature o... |
WebInstruct-verified | [
{
"content": "Dungeons and Dragons Gaming Co. is expected to pay a dividend in year 1 of $1.4, a dividend in year 2 of $2.1, and a dividend in year 3 of $3.5. After year 3, dividends are expected to grow at the rate of 4.4% per year. An appropriate required return for the stock is 10%.\n\nUsing the multistage d... | Finance | {
"ground_truth": "$54.66",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 336,
"difficulty": "University",
"id": "1609839",
"prompt_tokens": 865,
"reasoning_score": 3,
"reasoning_score_response": "To determine the price of the stock today using the multistage dividend discount model (DDM), one must first ca... |
WebInstruct-verified | [
{
"content": "There is a bicycle wheel resting against a small step whose height {eq}h = 0.132\n\n{/eq} m. The weight and radius of the wheel are {eq}W = 27.3\n\n{/eq} N and {eq}r = 0.324\n\n{/eq} m, respectively. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes... | Physics | {
"ground_truth": "37.10 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 235,
"difficulty": "Senior High School",
"id": "534736",
"prompt_tokens": 880,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to analyze the forces acting on the bicycle wheel as it interacts with th... |
WebInstruct-verified | [
{
"content": "The pOH of an aqueous solution of 0.381 M ammonia is\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "0.419",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 199,
"difficulty": "Senior High School",
"id": "584181",
"prompt_tokens": 781,
"reasoning_score": 3,
"reasoning_score_response": "To determine the pOH of an aqueous solution of ammonia, one must understand the relationship between t... |
WebInstruct-verified | [
{
"content": "An investment offers a total return of 12 percent over the coming year. Janet Jello thinks the total real return on this investment will be only 8.8 percent. What does Janet believe the inflation rate will be over the next year? (Do not round intermediate calculations and enter your answer as a pe... | Finance | {
"ground_truth": "3.20%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Finance",
"completion_tokens": 282,
"difficulty": "Senior High School",
"id": "626294",
"prompt_tokens": 842,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to understand the relationship between nominal return, real return, a... |
WebInstruct-verified | [
{
"content": "A scientist makes 300.0 mL of an acetate buffer using {eq}[CH_3COOH] = [NaCH_3COO]\n\n{/eq} = 0.075 M. How many mL of 5.0 M {eq}NaOH\n\n{/eq} can be added before its buffering capacity is exhausted?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "us... | Chemistry | {
"ground_truth": "4.5 mL",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 254,
"difficulty": "University",
"id": "6845",
"prompt_tokens": 836,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved in ... |
WebInstruct-verified | [
{
"content": "A physics professor is pushed up a ramp inclined upward at an angle of 28.0 degrees above the horizontal as he sits in his desk chair that slides on frictionless rollers. The combined mass of the professor and chair is 82.0 kg. He is pushed a distance of 2.00 m along the incline by a group of stud... | Physics | {
"ground_truth": "3.22 m/s",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 262,
"difficulty": "University",
"id": "1536455",
"prompt_tokens": 881,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to apply the work-energy theorem, which states that the work done on an object i... |
WebInstruct-verified | [
{
"content": "Two point charges, {eq}+3.30 \\ C\n\n{/eq} and {eq}-5.50 \\ C\n\n{/eq}, are separated by {eq}1.29 \\ m\n\n{/eq}.\n\nWhat is the electric potential midway between them?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "-30.7 V",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 259,
"difficulty": "Senior High School",
"id": "848181",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To determine the electric potential midway between two point charges, we need to apply the formula for e... |
WebInstruct-verified | [
{
"content": "A 24.0 kg wombat is moving horizontally at 1.90 m/s when it strikes an empty aluminum can attached to a wall and comes to rest after crumpling the can by 4.00 cm against the wall. What was the average force exerted on the can?\nPlease reason step by step, and put your final answer within <answer> ... | Physics | {
"ground_truth": "1080 N",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Physics",
"completion_tokens": 169,
"difficulty": "Senior High School",
"id": "1808790",
"prompt_tokens": 825,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to apply concepts from physics, specifically the principles of momentu... |
WebInstruct-verified | [
{
"content": "For the reaction, calculate how many grams of the product form when 1.6 g of {eq}Cl_2\n\n{/eq} completely reacts. Assume that there is more than enough of the other reactant.\n\n{eq}2Na(s) + Cl_2(g) \\to 2NaCl(s)\n\n{/eq}\nPlease reason step by step, and put your final answer within <answer> </ans... | Chemistry | {
"ground_truth": "2.64 g NaCl",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 210,
"difficulty": "Senior High School",
"id": "736606",
"prompt_tokens": 834,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the nature of th... |
WebInstruct-verified | [
{
"content": "What are the total number of ions in solution if a #25.0*g# mass of calcium chloride is dissolved in a #500*mL# volume of water?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "0.450*mol*L^-1",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 218,
"difficulty": "Senior High School",
"id": "1330776",
"prompt_tokens": 799,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question, we need to consider the nature of the pr... |
WebInstruct-verified | [
{
"content": "An estimate of the efficiency-loss ratio of taxes on labor income is 15 percent.\n\nThe efficiency-loss ratio of taxes on capital income is estimated to be 45 percent.\n\nAssuming that these estimates are accurate, calculate the change in well-being that would result from a $10 billion reduction i... | Economics | {
"ground_truth": "3 billion",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Economics",
"completion_tokens": 287,
"difficulty": "University",
"id": "818894",
"prompt_tokens": 841,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given question, we need to analyze the components involve... |
WebInstruct-verified | [
{
"content": "A 149 g bullet is fired from a rifle having a barrel 0.504 m long. Assuming the origin is placed where the bullet begins to move, the force exerted on the bullet by the expanding gas is {eq}F = a + bx - cx^2\n\n{/eq}, where {eq}a = 8130 N\n\n{/eq}, {eq}b = 123000 N/m\n\n{/eq}, {eq}c = 37800 N/m^2\... | Physics | {
"ground_truth": "18106.40079 J",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 177,
"difficulty": "University",
"id": "1832425",
"prompt_tokens": 901,
"reasoning_score": 3,
"reasoning_score_response": "To determine the work done by the gas on the bullet as it travels the length of the barrel, we need to calculat... |
WebInstruct-verified | [
{
"content": "An airplane is flying through a thundercloud at a height of 2000 m. If there is a charge concentration of +40 C at height 3000 m within the cloud and -40 C at height 1000 m, what is the magnitude of the electric field E at the aircraft? ({eq}k_e = 8.99 \\times 10^9\\ N.m^2/C^2\n\n{/eq})\nPlease re... | Physics | {
"ground_truth": "719200 N/C",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 161,
"difficulty": "Senior High School",
"id": "338995",
"prompt_tokens": 853,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the nature of the ... |
WebInstruct-verified | [
{
"content": "JB Chemical currently discharges liquid waste into Calgary's municipal sewer system. However, the Calgary municipal government has informed JB that a surcharge of $4 per thousand cubit liters will soon be imposed for the discharge of this waste. This has prompted management to evaluate the desirab... | Business | {
"ground_truth": "25.77%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Business",
"completion_tokens": 209,
"difficulty": "University",
"id": "354825",
"prompt_tokens": 1001,
"reasoning_score": 3,
"reasoning_score_response": "To determine the project's approximate internal rate of return (IRR), one must analyze the cash flows ass... |
WebInstruct-verified | [
{
"content": "Joshi has a capital balance of $80,000 after adjusting assets to fair market value. Costas contributes $40,000 to receive a 40% interest in a new partnership with Joshi. Determine the amount and recipient of the partner bonus.\nPlease reason step by step, and put your final answer within <answer> ... | Business | {
"ground_truth": "Bonus of $8,000 to Costas",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Business",
"completion_tokens": 184,
"difficulty": "University",
"id": "135634",
"prompt_tokens": 816,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved ... |
WebInstruct-verified | [
{
"content": "A car is traveling along a highway shaped like a parabola with its vertex at the origin. The car starts at 100 miles north and 100 miles west. There is a statue at 100 miles east and 50 miles north. At what point will the car's headlights hit the statue?\nPlease reason step by step, and put your f... | Physics | {
"ground_truth": "29.3 miles east and 8.6 miles north",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 259,
"difficulty": "Senior High School",
"id": "1464434",
"prompt_tokens": 825,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the component... |
WebInstruct-verified | [
{
"content": "Evidence from which type of data supports the common origin of all life on Earth?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Biology | {
"ground_truth": "Genetic Data",
"style": "rule"
} | {
"answer_type": "String",
"category": "Biology",
"completion_tokens": 261,
"difficulty": "Senior High School",
"id": "1578469",
"prompt_tokens": 781,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question \"Evidence from which type of data support... |
WebInstruct-verified | [
{
"content": "Suppose that demand for a good is given by Q=137-1P, while supply for the good is given by Q=2P-8. If a price ceiling of $11.13 is imposed, what will be the area of the deadweight loss?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Economics | {
"ground_truth": "4152",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Economics",
"completion_tokens": 250,
"difficulty": "University",
"id": "90492",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved ... |
WebInstruct-verified | [
{
"content": "After {eq}54.0\n\n{/eq} min, {eq}28.0\\%\n\n{/eq} of a compound has decomposed. What is the half-life of this reaction assuming first-order kinetics?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "113.95 min",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 269,
"difficulty": "Senior High School",
"id": "353164",
"prompt_tokens": 809,
"reasoning_score": 3,
"reasoning_score_response": "To determine the half-life of a reaction assuming first-order kinetics, we need to apply the formula f... |
WebInstruct-verified | [
{
"content": "A force {eq}\\vec{F} = 2\\vec{i} + \\vec{j} - 3\\vec{k}{/eq} is applied to a spacecraft with velocity {eq}\\vec{V} = 3\\vec{i} - \\vec{j}{/eq}. Express {eq}\\vec{F}{/eq} as a vectors parallel and orthogonal to two vectors parallel and orthogonal to {eq}\\vec{V}{/eq}.\nPlease reason step by step, a... | Physics | {
"ground_truth": "The parallel component is (1.5i - 0.5j) N and the orthogonal component is (0.5i + 1.5j - 3k) N",
"style": "rule"
} | {
"answer_type": "List",
"category": "Physics",
"completion_tokens": 265,
"difficulty": "University",
"id": "1986691",
"prompt_tokens": 863,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the complexity and the skil... |
WebInstruct-verified | [
{
"content": "A mixture of 0.2 mole O2 and 0.4 mole N2 gas is enclosed in a vessel of certain volume at 27C and 800 torr. If volume of mixture is doubled at same temperature then determine pressure of mixture and individual gases?\nPlease reason step by step, and put your final answer within <answer> </answer>.... | Physics | {
"ground_truth": "400 torr, 130 torr, 270 torr",
"style": "rule"
} | {
"answer_type": "List",
"category": "Physics",
"completion_tokens": 271,
"difficulty": "Senior High School",
"id": "1961066",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components invo... |
WebInstruct-verified | [
{
"content": "Liquid helium has a very low boiling point, 4.2 K, as well as a very low latent heat of vaporization, {eq}2.00 \\times 10^4\n\n{/eq} J/kg. If energy is transferred to a container of liquid helium at the boiling point from an immersed electric heater at a rate of 10.0 W, how long does it take to bo... | Physics | {
"ground_truth": "4,000 s",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Physics",
"completion_tokens": 354,
"difficulty": "Senior High School",
"id": "1461439",
"prompt_tokens": 857,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply the formula for energy transfer, which relates power, energy, ... |
WebInstruct-verified | [
{
"content": "A straight wire of length L has a positive charge Q distributed along its length.\n\nFind the magnitude of the electric field due to the wire at a point located a distance d from one end of the wire along the line extending from the wire.\nPlease reason step by step, and put your final answer with... | Physics | {
"ground_truth": "E = \\frac{\\rho L}{4\\pi \\epsilon_o a(L+a)}",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 206,
"difficulty": "University",
"id": "2015190",
"prompt_tokens": 813,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem of finding the magnitude of the electric field due to a charged wire at a point locat... |
WebInstruct-verified | [
{
"content": "A prankster drops a water balloon from the top of a building on an unsuspecting person on the sidewalk below. If the balloon is travelling 35.4 m/s when it strikes a person's head (1.5 m above the ground), how tall is the building? Neglect air resistance.\nPlease reason step by step, and put your ... | Physics | {
"ground_truth": "65 m",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Physics",
"completion_tokens": 273,
"difficulty": "Senior High School",
"id": "1838514",
"prompt_tokens": 825,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to determine the height of the building from which the water balloon wa... |
WebInstruct-verified | [
{
"content": "Consider a 35 year coupon bond that pays $80 annual coupons (beginning one year from today). What is the future value of the coupons at maturity if you can invest them at 8%?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Finance | {
"ground_truth": "$13785.3",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 182,
"difficulty": "University",
"id": "1402034",
"prompt_tokens": 806,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components involved in... |
WebInstruct-verified | [
{
"content": "A supplier of portable hair dryers will make x hundred units of hair dryers available in the market when the unit price is {eq}p = \\sqrt{49 + 3.8x}\n\n{/eq} dollars. Determine the producers' surplus if the market price is set at $12 per unit.\nPlease reason step by step, and put your final answer... | Economics | {
"ground_truth": "5701.75",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Economics",
"completion_tokens": 196,
"difficulty": "University",
"id": "1759167",
"prompt_tokens": 826,
"reasoning_score": 3,
"reasoning_score_response": "To determine the producer's surplus, we need to analyze the relationship between the quantity of hair dryers ... |
WebInstruct-verified | [
{
"content": "List the following ions in order of increasing radius:\n\na. {eq}Br^-\n\n{/eq}\n\nb. {eq}Li^+\n\n{/eq}\n\nc. {eq}Te^{2-}\n\n{/eq}\n\nd. {eq}Mg^{2+}\n\n{/eq}\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "Li+ < Mg2+ < Br- < Te2-",
"style": "rule"
} | {
"answer_type": "List",
"category": "Chemistry",
"completion_tokens": 172,
"difficulty": "Senior High School",
"id": "1462662",
"prompt_tokens": 823,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question, we need to consider the knowledge and rea... |
WebInstruct-verified | [
{
"content": "At a particular location in the room, there is an electric field = {eq}\\displaystyle \\langle 7940,\\ 0,\\ 0 \\rangle\\ N/C\n\n{/eq}. Where would you place a single negative point particle of charge {eq}2.0\\ \\mu C\n\n{/eq} in order to produce this electric field?\nPlease reason step by step, an... | Physics | {
"ground_truth": "1.505 m on the right side of origin on the x-axis",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 264,
"difficulty": "University",
"id": "129235",
"prompt_tokens": 838,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, one must understand the relationship between electric fields and point charges. The elect... |
WebInstruct-verified | [
{
"content": "A 4.6-kg block slides down an inclined plane that makes an angle of 26 with the horizontal. Starting from rest, the block slides a distance of 2.6 m in 4.9 s. Find the coefficient of kinetic friction between the block and plane.\nPlease reason step by step, and put your final answer within <answe... | Physics | {
"ground_truth": "0.46",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 230,
"difficulty": "Senior High School",
"id": "1848114",
"prompt_tokens": 824,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply concepts from physics, specifically Newton's laws of motion and ... |
WebInstruct-verified | [
{
"content": "One gallon of gasoline in an automobile's engine produces on the average 9.5 kg of carbon dioxide, which is a greenhouse gas, that is, it promotes the warming of Earth's atmosphere. Calculate the annual production of carbon dioxide in kilograms if there are 40 million cars in the United States and... | Physics | {
"ground_truth": "9.59 * 10^10 kg",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 184,
"difficulty": "Senior High School",
"id": "1293008",
"prompt_tokens": 846,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to perform a series of calculations based on the information provided. F... |
WebInstruct-verified | [
{
"content": "A force 50 N is required to maintain a spring stretched from its natural length 9 cm to a length of 13 cm. How much work is done in stretching the spring from 9 cm to 11 cm?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "25 J",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Physics",
"completion_tokens": 374,
"difficulty": "Senior High School",
"id": "1265902",
"prompt_tokens": 810,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply the concept of work done on a spring, which is based on Hooke'... |
WebInstruct-verified | [
{
"content": "A solenoid with 400 turns has a radius of 0.060 m and is 50 cm long. If this solenoid carries a current of 18 A, what is the magnitude of the magnetic field near the center of the solenoid?\n\n{eq}(\\mu_0 = 4\\pi \\times 10^{-7} T \\cdot m/A)\n\n{/eq}\nPlease reason step by step, and put your fina... | Physics | {
"ground_truth": "0.018 T",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 243,
"difficulty": "Senior High School",
"id": "1378988",
"prompt_tokens": 845,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to consider the nature of the... |
WebInstruct-verified | [
{
"content": "Marcia plans on saving $100 at the beginning of every month for the next 20 years. If she can earn a 7% annual return (assume monthly compounding), then how much will she have in her account at the end of 20 years?\nPlease reason step by step, and put your final answer within <answer> </answer>.",... | Finance | {
"ground_truth": "$52,396.54",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 173,
"difficulty": "Senior High School",
"id": "1770987",
"prompt_tokens": 819,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply the formula for the future value of a series of cash flows (savi... |
WebInstruct-verified | [
{
"content": "Given the angle, the time, and the horizontal range, how to find the horizontal velocity (m/s)?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "v_h = \\sqrt{\\dfrac{gR}{2 \\tan \\theta }}",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 211,
"difficulty": "Senior High School",
"id": "625485",
"prompt_tokens": 787,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question, we need to consider what is being aske... |
WebInstruct-verified | [
{
"content": "How much force must be exerted at the right end to pick up the lever and load if it pivots at the left end? The 2.00 meter long lever weighs 1.50 N and is uniform. There is an 8.00 N weight resting on the 40.0 cm mark.\nPlease reason step by step, and put your final answer within <answer> </answer... | Physics | {
"ground_truth": "2.35 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 417,
"difficulty": "Senior High School",
"id": "986124",
"prompt_tokens": 829,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to apply the principles of torque and equilibrium. The lever is uniform, ... |
WebInstruct-verified | [
{
"content": "Amanda likes to eat bananas and apples with her lunch between classes. She also keeps a close eye on her spending each week since she is in college and cannot afford the time to work too much. She has budgeted a certain amount of money each week for apples and bananas. If she spends all of this bu... | Economics | {
"ground_truth": "0.6 apples",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Economics",
"completion_tokens": 359,
"difficulty": "Senior High School",
"id": "69045",
"prompt_tokens": 872,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components inv... |
WebInstruct-verified | [
{
"content": "Tracey Sales Co. has predicted the following costs for this year for 500,000 units:\n\n\n Manufacturing Selling and Administrative\nVariable $800,000 $250,000\nFixed 1,200,000 300,000\nTotal $2,000,000 $550,000\nWhat is the markup on variable manufacturing costs needed to break even?\nPlease reaso... | Business | {
"ground_truth": "$3.50 per unit or a total of $1,750,000",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Business",
"completion_tokens": 480,
"difficulty": "University",
"id": "813409",
"prompt_tokens": 837,
"reasoning_score": 3,
"reasoning_score_response": "To determine the markup on variable manufacturing costs needed to break even, we need to analyze the costs prov... |
WebInstruct-verified | [
{
"content": "Calculate the pH of a 4.00x10^-8 M solution of HBr.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "6.914",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 349,
"difficulty": "Senior High School",
"id": "515178",
"prompt_tokens": 785,
"reasoning_score": 3,
"reasoning_score_response": "To calculate the pH of a 4.00x10^-8 M solution of HBr, we need to consider the properties of strong ac... |
WebInstruct-verified | [
{
"content": "How much work does gravity do on the compressor during this displacement?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "(m)*9.8*(height difference)",
"style": "rule"
} | {
"answer_type": "Expression",
"category": "Physics",
"completion_tokens": 270,
"difficulty": "Senior High School",
"id": "1428084",
"prompt_tokens": 778,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question \"How much work does gravity do on the... |
WebInstruct-verified | [
{
"content": "After takeoff, an airplane climbs at an angle of 30 degrees at a speed of 215 ft/sec. How long does it take for the airplane to reach an altitude of 13,000 ft? (round your answer to one decimal place.)\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": ... | Physics | {
"ground_truth": "120.9 s",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 393,
"difficulty": "Senior High School",
"id": "1211937",
"prompt_tokens": 816,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to determine how long it takes for an airplane climbing at a specific ang... |
WebInstruct-verified | [
{
"content": "The Starship Enterprise returns from a warp drive to ordinary space with a forward speed of {eq}53\\text{ km/s}\n\n{/eq}. To the crew's great surprise, a Klingon ship is {eq}150\\text{ km}\n\n{/eq} directly ahead, traveling in the same direction at a mere {eq}22\\text{ km/s}\n\n{/eq}. Without evas... | Physics | {
"ground_truth": "6.5 km/s^2",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 334,
"difficulty": "Senior High School",
"id": "1234162",
"prompt_tokens": 1012,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to analyze the motion of both the Starship Enterprise and the Klingon s... |
WebInstruct-verified | [
{
"content": "A baseball (m = 149 g) approaches a bat horizontally at a speed of 39.8 m/s (89.0 mph) and is hit straight back at a speed of 45.8 m/s (102 mph). If the ball is in contact with the bat for a time of 1.27 ms, what is the average force exerted on the ball by the bat?\n\n(Neglect the weight of the ba... | Physics | {
"ground_truth": "10042.83 N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 297,
"difficulty": "Senior High School",
"id": "1045652",
"prompt_tokens": 880,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components inv... |
WebInstruct-verified | [
{
"content": "A Carnot engine is operated between a hot and a cold reservoir. The temperature difference between the two reservoirs is 334 degrees Celsius. If the efficiency of this ideal engine is 27%, find the temperature of the cold reservoir in degrees Celsius.\nPlease reason step by step, and put your fina... | Physics | {
"ground_truth": "630",
"style": "rule"
} | {
"answer_type": "Integer",
"category": "Physics",
"completion_tokens": 336,
"difficulty": "Senior High School",
"id": "1584848",
"prompt_tokens": 814,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem, we need to apply the formula for the efficiency of a Carnot engine, which is gi... |
WebInstruct-verified | [
{
"content": "Silver nitrate and calcium chloride solutions produce a heavy, white precipitate when mixed. Chemical analysis indicates that the precipitate is silver chloride. What mass of silver chloride would be produced if 95 mL of 6.0 M silver nitrate is mixed with 40 mL of 6.0 M calcium chloride?\nPlease r... | Chemistry | {
"ground_truth": "68.79 grams",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 188,
"difficulty": "Senior High School",
"id": "647618",
"prompt_tokens": 829,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to apply knowledge of stoichiometry and chemical reactions. The questio... |
WebInstruct-verified | [
{
"content": "Year-to-date, Oracle had earned a 1.40 percent return. During the same time period, Valero Energy earned 7.68 percent and McDonald's earned 0.44 percent. If you have a portfolio made up of 20 percent Oracle, 30 percent Valero Energy, and 50 percent McDonald's, what is your portfolio return? (Round... | Finance | {
"ground_truth": "2.80%",
"style": "rule"
} | {
"answer_type": "Percentage",
"category": "Finance",
"completion_tokens": 122,
"difficulty": "Senior High School",
"id": "598796",
"prompt_tokens": 847,
"reasoning_score": 3,
"reasoning_score_response": "To determine the portfolio return, we need to calculate the weighted average of the returns based o... |
WebInstruct-verified | [
{
"content": "An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 4KJ# over #t in [0, 9 s]#. What is the average speed of the object?\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Physics | {
"ground_truth": "59.38ms^-1",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 375,
"difficulty": "Senior High School",
"id": "1286466",
"prompt_tokens": 818,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components inv... |
WebInstruct-verified | [
{
"content": "NPV Project K costs $55,000, its expected cash inflows are $11,000 per year for 9 years, and its WACC is 9%.\n\nWhat is the project's NPV?\n\nRound your answer to the nearest cent.\n\n$\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Finance | {
"ground_truth": "10947.72",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 276,
"difficulty": "University",
"id": "1483642",
"prompt_tokens": 816,
"reasoning_score": 3,
"reasoning_score_response": "To determine the NPV (Net Present Value) of Project K, we need to apply the formula for NPV, which is:\n\n\\[\n... |
WebInstruct-verified | [
{
"content": "Determine the molar solubility of {eq}MnS\n\n{/eq} in a solution containing 0.0350 M {eq}Na_2S\n\n{/eq}. ({eq}K_{sp}\n\n{/eq} of {eq}MnS = 2.50 \\times 10^{-10}\n\n{/eq})\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "7.14e-9 mol/L",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 152,
"difficulty": "Senior High School",
"id": "68055",
"prompt_tokens": 834,
"reasoning_score": 3,
"reasoning_score_response": "To determine the molar solubility of MnS in a solution containing Na2S, we need to apply knowledge of s... |
WebInstruct-verified | [
{
"content": "A light spring of natural (equilibrium) length 10cm with force constant k=500 N/m is embedded vertically in the ground. A ball of mass m = 0.15 kg is placed on top of the spring, which is compressed 8.0cm; when released, the spring pushes the ball. When the ball reaches ground level, it leaves its... | Physics | {
"ground_truth": "1.088 m",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 364,
"difficulty": "Senior High School",
"id": "2022267",
"prompt_tokens": 891,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to analyze the mechanics involved in the spring's compression and the su... |
WebInstruct-verified | [
{
"content": "Consider the titration of 25.0 mL of 0.215 M KOH with 0.116 M HCl. Calculate the pH after 5.0 mL of HCl has been added.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Chemistry | {
"ground_truth": "13.20",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 492,
"difficulty": "Senior High School",
"id": "1716666",
"prompt_tokens": 811,
"reasoning_score": 3,
"reasoning_score_response": "To solve the problem of calculating the pH after adding 5.0 mL of HCl to a solution of KOH, one must ... |
WebInstruct-verified | [
{
"content": "Find the future value of an ordinary annuity that pays $150 per month for 15 years at an interest rate of 10% per year compounded monthly.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Finance | {
"ground_truth": "$62,170.552",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 163,
"difficulty": "Senior High School",
"id": "712479",
"prompt_tokens": 797,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze what is being asked... |
WebInstruct-verified | [
{
"content": "You've borrowed $15,000 on margin to buy shares in Disney, which is now selling at $50 per share. Your account starts at the initial margin requirement of 50%. The maintenance margin is 47%. Two days later, the stock price falls to $48 per share.\n\nHow low can the price of Disney shares fall befo... | Finance | {
"ground_truth": "$47.17",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Finance",
"completion_tokens": 385,
"difficulty": "Senior High School",
"id": "44087",
"prompt_tokens": 838,
"reasoning_score": 3,
"reasoning_score_response": "To determine how low the price of Disney shares can fall before receiving a margin call, we need to under... |
WebInstruct-verified | [
{
"content": "To determine the genotype of a frequently seen orange flowering plant in a population, the plant will be mated with ___________ plant.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"role": "user"
}
] | Biology | {
"ground_truth": "Homozygous recessive",
"style": "rule"
} | {
"answer_type": "String",
"category": "Biology",
"completion_tokens": 194,
"difficulty": "Senior High School",
"id": "1627420",
"prompt_tokens": 791,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the question, we need to consider what is being asked. ... |
WebInstruct-verified | [
{
"content": "A model train with a mass of #1 kg# is moving along a track at #4 (cm)/s#. If the curvature of the track changes from a radius of #144 cm# to #60 cm#, by how much must the centripetal force applied by the tracks change?\nPlease reason step by step, and put your final answer within <answer> </ans... | Physics | {
"ground_truth": "0.0016N",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Physics",
"completion_tokens": 372,
"difficulty": "Senior High School",
"id": "1531128",
"prompt_tokens": 826,
"reasoning_score": 3,
"reasoning_score_response": "To evaluate the reasoning level requirement of the given problem, we need to analyze the components inv... |
WebInstruct-verified | [
{
"content": "At a pressure of 570 mm Hg and a temperature of 25 degrees Celsius, a gas sample has a volume of 2270 ml. What is the final pressure, in mm Hg, at a volume of 1250 ml and a temperature of 175 degrees Celsius.\nPlease reason step by step, and put your final answer within <answer> </answer>.",
"... | Chemistry | {
"ground_truth": "1556.25 mmHg",
"style": "rule"
} | {
"answer_type": "Float",
"category": "Chemistry",
"completion_tokens": 219,
"difficulty": "Senior High School",
"id": "876365",
"prompt_tokens": 821,
"reasoning_score": 3,
"reasoning_score_response": "To solve this problem, we need to apply the ideal gas law and understand the relationships between pre... |
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