data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 14
values | reward_model dict | extra_info dict |
|---|---|---|---|---|
general-reasoner | [
{
"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": "2.74%",
"index": 0,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "2.97e5 N/m^2",
"index": 4,
"question": "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 ... |
general-reasoner | [
{
"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": "-(\\rho/(3*\\epsilon_0)) * (3*a^2/2 - b^2/2 - a^3/b)",
"index": 6,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "1.76e-33",
"index": 7,
"question": "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 _____.",
"... |
general-reasoner | [
{
"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": "Net loss: ($40,000)",
"index": 8,
"question": "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... |
general-reasoner | [
{
"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": "8684J",
"index": 9,
"question": "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... |
general-reasoner | [
{
"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": "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}]",
"index": 10,
"question": "Use Work and Mechanical Energy to derive the expression for the experimentally determined moment of inertia.",
"split": "train"
} |
general-reasoner | [
{
"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": "5Cq^2/9d",
"index": 11,
"question": "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 f... |
general-reasoner | [
{
"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": "6.3e14 J",
"index": 13,
"question": "How much energy is produced when the sun converts one kg of hydrogen into helium?.",
"split": "train"
} |
general-reasoner | [
{
"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": "0.448 g",
"index": 15,
"question": "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}",
"split": "train"
} |
general-reasoner | [
{
"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": "Treasury shares",
"index": 16,
"question": "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... |
general-reasoner | [
{
"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": "$10,578",
"index": 17,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "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",
"index": 18,
"question": "The financial statement... |
general-reasoner | [
{
"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": "12.35e-13 N",
"index": 19,
"question": "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?",
"split": "tra... |
general-reasoner | [
{
"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": "53.7 mL",
"index": 20,
"question": "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... |
general-reasoner | [
{
"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": "1.570 m",
"index": 21,
"question": "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 i... |
general-reasoner | [
{
"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": "224.1kg",
"index": 22,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "17.26 m/s",
"index": 23,
"question": "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 unif... |
general-reasoner | [
{
"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": "0.086 m^2",
"index": 24,
"question": "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 throu... |
general-reasoner | [
{
"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": "128.99s",
"index": 25,
"question": "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 ... |
general-reasoner | [
{
"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": "-$1,300",
"index": 26,
"question": "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 i... |
general-reasoner | [
{
"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 $200,000 fixed expenses.\n\nPrepare a flexible budget performance report that shows any variances between budge... | Business | {
"ground_truth": " Accounts titleFlexible budget (A)Actual results (B)Variance (C = A - B)Favorable/Unfavorable\n Sales632,000647,80015,800Unfavorable\nLess: Variable costs395,000406,85011,850Unfavorable\n Contribution margin237,000240,9503,950Unfavorable\nLess: Fixed costs210,000200,00010,000Favorable\n Income ... | {
"answer": " Accounts titleFlexible budget (A)Actual results (B)Variance (C = A - B)Favorable/Unfavorable\n Sales632,000647,80015,800Unfavorable\nLess: Variable costs395,000406,85011,850Unfavorable\n Contribution margin237,000240,9503,950Unfavorable\nLess: Fixed costs210,000200,00010,000Favorable\n Income from o... |
general-reasoner | [
{
"content": "I want to correct visual odometry (VO) trajectory with GPS and assign each point of the VO curve a computed GPS coordinate. Data I have: I have a curve that represents the VO trajectory (blue in the picture) - this trajectory was calculated via some computer vision algorithms and I know coordinate... | Other STEM | {
"ground_truth": "$f(\\begin{bmatrix} x \\\\ y \\end {bmatrix}) = S + \\frac{\\|G-S \\|}{\\|F-S\\|}R (\\begin{bmatrix} x \\\\ y \\end {bmatrix} - S)$",
"style": "rule"
} | {
"answer": "$f(\\begin{bmatrix} x \\\\ y \\end {bmatrix}) = S + \\frac{\\|G-S \\|}{\\|F-S\\|}R (\\begin{bmatrix} x \\\\ y \\end {bmatrix} - S)$",
"index": 28,
"question": "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 ha... |
general-reasoner | [
{
"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": "$45,000 reduction",
"index": 29,
"question": "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 ... |
general-reasoner | [
{
"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": "14.27 kg",
"index": 30,
"question": "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}... |
general-reasoner | [
{
"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": "29.28%",
"index": 31,
"question": "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 i... |
general-reasoner | [
{
"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": "{eq}F = \\frac{432m}{4913}{/eq}",
"index": 32,
"question": "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}?",
"split": "train"
} |
general-reasoner | [
{
"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": "$10,207.5",
"index": 33,
"question": "Calculate the present value of $15,000 received in 5 years discounted at 8%.",
"split": "train"
} |
general-reasoner | [
{
"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": "$176,468.05",
"index": 34,
"question": "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 us... |
general-reasoner | [
{
"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": "2.7",
"index": 35,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "-$3357.48",
"index": 36,
"question": "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 i... |
general-reasoner | [
{
"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": "NPV = \\displaystyle \\frac{CF1}{1 + I} + \\frac{CF2}{(1 + I)^2} + \\frac{CF3}{(1 + I)^3} + ... + \\frac{CFn}{(1 + I)^n} - Total\\:initial\\:costs",
"index": 37,
"question": "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... |
general-reasoner | [
{
"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": "396.71K",
"index": 38,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "^{209}_{82}Pb \\longrightarrow _{83}^{209} Bi+e^{-}+\\bar{\\nu_e}",
"index": 39,
"question": "Write the nuclear equation for lead-209 decaying by beta emission.",
"split": "train"
} |
general-reasoner | [
{
"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": "12.9780%",
"index": 40,
"question": "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... |
general-reasoner | [
{
"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": "207.3 m/s",
"index": 41,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "0.218",
"index": 42,
"question": "At room temperature, what fraction of the nitrogen molecules in the air are moving at less than 300 m/s?",
"split": "train"
} |
general-reasoner | [
{
"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": "5555.6 N",
"index": 43,
"question": "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",
... |
general-reasoner | [
{
"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": "8327.1 kg/m^3",
"index": 44,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "{\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 \"Fixed cost... |
general-reasoner | [
{
"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": "174",
"index": 46,
"question": "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\nCalcul... |
general-reasoner | [
{
"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": "1388 N",
"index": 47,
"question": "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}?",
"split": "train"
} |
general-reasoner | [
{
"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": "$8,645.09",
"index": 48,
"question": "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, shoul... |
general-reasoner | [
{
"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": "27.44%",
"index": 49,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "$54.66",
"index": 51,
"question": "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 i... |
general-reasoner | [
{
"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": "37.10 N",
"index": 52,
"question": "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 ma... |
general-reasoner | [
{
"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": "0.419",
"index": 53,
"question": "The pOH of an aqueous solution of 0.381 M ammonia is",
"split": "train"
} |
general-reasoner | [
{
"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": "3.20%",
"index": 54,
"question": "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 calculation... |
general-reasoner | [
{
"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": "4.5 mL",
"index": 55,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "3.22 m/s",
"index": 57,
"question": "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 al... |
general-reasoner | [
{
"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": "-30.7 V",
"index": 58,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "1080 N",
"index": 59,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "2.64 g NaCl",
"index": 60,
"question": "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}",
"split": "train"
} |
general-reasoner | [
{
"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": "0.450*mol*L^-1",
"index": 61,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "3 billion",
"index": 62,
"question": "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 re... |
general-reasoner | [
{
"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": "18106.40079 J",
"index": 63,
"question": "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 = 12... |
general-reasoner | [
{
"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": "719200 N/C",
"index": 64,
"question": "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 1... |
general-reasoner | [
{
"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": "25.77%",
"index": 65,
"question": "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 ma... |
general-reasoner | [
{
"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": "Bonus of $8,000 to Costas",
"index": 69,
"question": "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.",
"split": "train"... |
general-reasoner | [
{
"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": "29.3 miles east and 8.6 miles north",
"index": 70,
"question": "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 headlight... |
general-reasoner | [
{
"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": "Genetic Data",
"index": 71,
"question": "Evidence from which type of data supports the common origin of all life on Earth?",
"split": "train"
} |
general-reasoner | [
{
"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": "4152",
"index": 72,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "113.95 min",
"index": 73,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "The parallel component is (1.5i - 0.5j) N and the orthogonal component is (0.5i + 1.5j - 3k) N",
"index": 74,
"question": "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 vec... |
general-reasoner | [
{
"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": "400 torr, 130 torr, 270 torr",
"index": 75,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "4,000 s",
"index": 77,
"question": "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... |
general-reasoner | [
{
"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": "E = \\frac{\\rho L}{4\\pi \\epsilon_o a(L+a)}",
"index": 78,
"question": "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 fro... |
general-reasoner | [
{
"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": "65 m",
"index": 80,
"question": "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.",
"split":... |
general-reasoner | [
{
"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": "$13785.3",
"index": 81,
"question": "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%?",
"split": "train"
} |
general-reasoner | [
{
"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": "5701.75",
"index": 83,
"question": "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.",
"split": "train"
... |
general-reasoner | [
{
"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": "Li+ < Mg2+ < Br- < Te2-",
"index": 84,
"question": "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}",
"split": "train"
} |
general-reasoner | [
{
"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": "1.505 m on the right side of origin on the x-axis",
"index": 85,
"question": "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{/e... |
general-reasoner | [
{
"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": "0.46",
"index": 86,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "9.59 * 10^10 kg",
"index": 87,
"question": "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... |
general-reasoner | [
{
"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": "25 J",
"index": 88,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "0.018 T",
"index": 89,
"question": "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}",
"split": ... |
general-reasoner | [
{
"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": "$52,396.54",
"index": 90,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "v_h = \\sqrt{\\dfrac{gR}{2 \\tan \\theta }}",
"index": 91,
"question": "Given the angle, the time, and the horizontal range, how to find the horizontal velocity (m/s)?",
"split": "train"
} |
general-reasoner | [
{
"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": "2.35 N",
"index": 92,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "0.6 apples",
"index": 93,
"question": "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 b... |
general-reasoner | [
{
"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": "$3.50 per unit or a total of $1,750,000",
"index": 94,
"question": "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... |
general-reasoner | [
{
"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": "6.914",
"index": 95,
"question": "Calculate the pH of a 4.00x10^-8 M solution of HBr.",
"split": "train"
} |
general-reasoner | [
{
"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": "(m)*9.8*(height difference)",
"index": 96,
"question": "How much work does gravity do on the compressor during this displacement?",
"split": "train"
} |
general-reasoner | [
{
"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": "120.9 s",
"index": 97,
"question": "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.)",
"split": "train"
} |
general-reasoner | [
{
"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": "6.5 km/s^2",
"index": 98,
"question": "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... |
general-reasoner | [
{
"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": "10042.83 N",
"index": 99,
"question": "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 b... |
general-reasoner | [
{
"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": "630",
"index": 100,
"question": "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.",
"split": "tr... |
general-reasoner | [
{
"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": "68.79 grams",
"index": 101,
"question": "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 m... |
general-reasoner | [
{
"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": "2.80%",
"index": 102,
"question": "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 ... |
general-reasoner | [
{
"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": "59.38ms^-1",
"index": 103,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "10947.72",
"index": 104,
"question": "NPV Project K costs $55,000, its expected cash inflows are $11,000 per year for 9 years, and its WACC is 9%.\n\nWhat is the project's NPV?\n\nRound your answer to the nearest cent.\n\n$",
"split": "train"
} |
general-reasoner | [
{
"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": "7.14e-9 mol/L",
"index": 105,
"question": "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})",
"split": "train"
} |
general-reasoner | [
{
"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": "1.088 m",
"index": 106,
"question": "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 r... |
general-reasoner | [
{
"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": "13.20",
"index": 107,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "$62,170.552",
"index": 108,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"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": "$47.17",
"index": 109,
"question": "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... |
general-reasoner | [
{
"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": "Homozygous recessive",
"index": 110,
"question": "To determine the genotype of a frequently seen orange flowering plant in a population, the plant will be mated with ___________ plant.",
"split": "train"
} |
general-reasoner | [
{
"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": "0.0016N",
"index": 112,
"question": "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?",
"split": "train"
} |
general-reasoner | [
{
"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": "1556.25 mmHg",
"index": 113,
"question": "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.",
"split": "train"
} |
general-reasoner | [
{
"content": "Nachman Industries just paid a dividend of D0 = $1.32. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in year 3 and thereafter. The required return on this low-risk stock is 9%. What is the best estimate of the stock's current market... | Finance | {
"ground_truth": "$44.85",
"style": "rule"
} | {
"answer": "$44.85",
"index": 114,
"question": "Nachman Industries just paid a dividend of D0 = $1.32. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in year 3 and thereafter. The required return on this low-risk stock is 9%. What is the best estim... |
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