diff --git "a/all/draw_structured.json" "b/all/draw_structured.json" new file mode 100644--- /dev/null +++ "b/all/draw_structured.json" @@ -0,0 +1,13859 @@ +{ + "Source": "https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/tech_rep.pdf", + "Categories": [ + { + "Math complexity": 4, + "Language complexity": 7, + "Domain knowledge complexity": 3 + } + ], + "Instances": [ + { + "Input": "Juniors boat will go 15 miles per hour in still water . If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream , then what is the speed of the current .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([12*(15-x)-(9*(15+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.14285714286" + ], + "split": "train" + }, + { + "Input": "A factory makes three-legged stools and four-legged stools . They use the same kind of seats and legs for each . The only difference is the number of holes they bore in the seats for the legs . The company has 161 seats and 566 legs .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(161),3*x+4*y-(566)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "83" + ], + "split": "test" + }, + { + "Input": "a bank offers two checking plans . The anywhere plan charges 30 cents per check . Th Accucheck plan costs $ 1.12 a month , plus 22 cents per check . For what number of checks will the Accucheck plan costs less than the Anywhere plan ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(.01*30)*x-((.01*22)*x+1.12)],(x))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "The student-teacher ratio for Washington High was reported to be 27.5 to 1 . If there are 42 teachers , then how many students are there ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([27.5*42-(x*1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1155" + ], + "split": "train" + }, + { + "Input": "A theater sells adult tickets for $ 8 and children 's tickets for $ 5 . If a total of $ 236 was taken in on sales of 34 total tickets , then how many adult tickets were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(34),8*x+5*y-(236)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "Working alone , Ryan can dig a 10 ft by 10 ft hole in five hours . Castel can dig the same hole in six hours . How long would it take them if they worked together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 5 + 1 / 6 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.72727272727" + ], + "split": "train" + }, + { + "Input": "The sum of the ages of a brother and sister is 27 . If four times the brother 's age is subtracted from three times the sister 's age , the difference is 11 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x - 4*y -( 11),y-((27-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "the sum of a two-digit number is 9 . the number with the digits interchanged is 6 times the sum of the digits . find the original number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(9),10 * x + y -( 6 *( x + y ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "The difference between two numbers is 36 . The sum of these numbers is 62 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(62),x-y-(36)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "Mike invested $ 6000 for one year . He invested part of it at 9 % and the rest at 11 % . At the end of the year he earned $ 624 in interest . How much did he invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 9 ) *x + ( 0.01 * 11 ) *y -( 624),y-((6000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "One pan pizza and two cheesburgers provide 2860 calories . Two pan pizzas and one cheeseburger provide 2990 calories . Find the caloric content of each item .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([1*x + 2*y -( 2860),2*x + 1*y -( 2990)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1040" + ], + "split": "train" + }, + { + "Input": "A number added to 6 is equal to 30 less than four times the number . what is the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([6+x-(4*x-30)],(x))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "Hollis is paying off two student loans . One loan charges 7 % interest per year . The other loan charges 9 % interest per year . He owes $ 1500 more on the 7 % loan than he does on the other . Last year he paid a total of $ 617 interest . How much does he owe on each loan ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 7 ) *x + ( 0.01 * 9 ) *y -( 617),x-(y+1500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4700" + ], + "split": "train" + }, + { + "Input": "A car radiator has a 6-liter capacity . If the liquid in the radiators 40 % antifreeze , how much liquid must be replaced with 100 % antifreeze to bring the mixture up to a 50 % solutions ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 40 ) *y + ( 0.01 * 100 ) *y -( ( 0.01 * 50 * 6 )),y-((6-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "How much 1 % boric acid solution and 5 % boric acid solution are needed to make 30 mL of 3 % boric acid solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*1)*x+(0.01*5)*y-((0.01*3*30)),y-((30-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Two cars start from the same place and travel in opposite directions . One runs at an average rate which is 24 kilometers per hour faster than the other . Find their rates if after 6 hours , they are 702 km apart .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(x+24+x)*6-(702)],(x))\nprint(answer)" + ], + "Output Answer": [ + "46.5" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 2 . If the larger number is 14 more than three times the smaller , find the larger number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(2),x-3*y-(14)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 13 . one number is 1 more than twice the other . find the smallest number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(13),x -( 2*y + 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 81 the differance of the same two numbers is 9 . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(81),x-y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "The sum of two number is 17 . The second number is three times as much as the first number . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(17),y-(3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4.25" + ], + "split": "train" + }, + { + "Input": "Two numbers have a sum of 47 their difference is 5 . what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(47-y),y-y-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "One solution contains 10 % alcohol while another contains 30 % alcohol . How many liters of each should be mixed to give 10 L of a solution which is 25 % alcohol ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 10 ) *x + ( 0.01 * 30 ) *y -( ( 0.01 * 25 * 10 )),y-((10-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "test" + }, + { + "Input": "the sum of two numbers is 140 and their difference is 16 . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(140),x-y-(16)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "78" + ], + "split": "test" + }, + { + "Input": "Eight years ago , Hold was 7 times older than her son . Today , she is exactly 3 times as old as her son . How old are both Mrs. Hold and her son today ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 8 -( 7 *( y - 8 )),x -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "If the price of copper is 65 cents/lb and the price of zinc is 30 cents/lb , how many pounds of copper and zinc should be mixed to make 70lb of brass selling for 45 cents per pound ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([65*x+30*y-(45*(70)),y-((70-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "masc is 7 years older than sam and the sum their ages is 27 . What are their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(27),y-(y+7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year . The calendars cost $ 0.75 each , and the date books cost $ 0.50 each . She ordered a total of 500 promotional items and spent $ 300 . How many of each item did she order ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(500),0.75*x+0.5*y-(300)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "two numbers differ by 10 . The larger number is 6 less than twice the smaller number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(10),x -( 2*y - 6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "test" + }, + { + "Input": "508 exceeds six times a number by 70 . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([508-(6*x+70)],(x))\nprint(answer)" + ], + "Output Answer": [ + "73" + ], + "split": "train" + }, + { + "Input": "You can paint a certain room in 3 hours . Your brother can do it in 4 hours . How long does it take the two of you working together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 + 1 / 4 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.71428571429" + ], + "split": "train" + }, + { + "Input": "In a 2-digit number , the units digit is 4 more than the tens digit . If the digits are reversed the new number is 6 more than thrice the original number . find the original number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+4),10*x+y-(3*(x+10*y)+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Walt made an extra 9000 last year from a part time job . He invested part of the money at 9 % and the rest at 8 % . He made a total of $ 770.00 in interest . How much was invested at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x + ( .01 * 9 ) *y -( 770),y-((9000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4000" + ], + "split": "train" + }, + { + "Input": "A small publishing company is planning to publish a new book . The production costs will include one-time fixed costs -LRB- such as editing -RRB- and variable costs -LRB- such as printing -RRB- . The one-time fixed costs will amount to 54,150 . The variable costs will be 12.50 per book . The publisher will sell the finished product to bookstores at a price of $ 25.00 per book . How many books must the publisher print and sell so that the production costs will equal the money obtained from sales ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([12.50*x+54150-(25.00*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4332" + ], + "split": "test" + }, + { + "Input": "One number is 3 more than 2 times the other , and their sum is 27 . what are the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3 + 2*y -( y),y+y-(27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "test" + }, + { + "Input": "Mr. Wise bought $ 1950 worth of stock , some at $ 3.00 per share and some at $ 4.50 per share . If he bought a total of 450 shares of stock , how many of each did he buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(450),3*x+4.5*y-(1950)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "Christopher is 2 times as old as Gabriela . Nine years ago , Christopher was 5 times as old as Gabriela . How old is Christopher now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y),( x - 9 ) -( 5 *( y - 9 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "A man rows a boat 300 feet upstream against a constant current in 10 minutes . He then rows 350 feet downstream -LRB- with the same current -RRB- in 7 minutes .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([300-(10*(x-y)),350-(7*(x+y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "Olga has 5 times as many dimes as nickels . If she has $ 3.30 , how many of each coin does she have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x-(y),0.05*x+0.10*y-(3.30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "A woman is three times as old as her son , and the sum of their ages is 52 . Find each person 's age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(52),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "You invested a total of $ 5000.00 in 2 different banks . One bank pays 4 % interest , and the other bank pays 6.5 % interest . If you earn a total of $ 282.50 in interest the first year , how much did you invest in each bank ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 4 ) *x + ( 0.01 * 6.5 ) *y -( 282.50),x-(5000-y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1700" + ], + "split": "dev" + }, + { + "Input": "eight times a number plus five times another number is -13 . the sum of the two numbers is 1 . what are the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1),8*x+5*y-(-13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "Mr. Herman had $ 125 , and Mr. Chandra had $ 80 . After each of them had paid for a concert ticket , Mr. Herman had six times as much money as Mr. Chandra . How much money did Mr. Chandra have left ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([125 - x -( 6 *( 80 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "71" + ], + "split": "test" + }, + { + "Input": "Michael bought two used cars and fixed them up . He sold the first one for a 35 % profit and the second for a 15 % profit . He made a total profit of 2,640 by selling these cars.The price that Michael paid for the first car was 2,600 less than the price for the second car . What was the selling price of each car .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 35 ) *x + ( 0.01 * 15 ) *y -( 2640),y-((x+2600))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4500" + ], + "split": "train" + }, + { + "Input": "If the larger of two integers , whose sum is 88 , is divided by the smaller , the quotient is 5 and the remainder is 10 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(88),x-5*y-(10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "Adult tickets for a play cost $ 16 and child tickets cost $ 9 . If there were 24 people at a performance and the theater collected $ 258 from ticket sales , how many children attended the play ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(24),16*x+9*y-(258)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "Hotels collect 4 percent sale tax on all sales . If the total sales including tax are 1058.30 find the portion that is the tax .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x + 0.01 * 4*x -( 1058.30)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1017.59615385" + ], + "split": "test" + }, + { + "Input": "Two cars travelling in opposite directions were 360 km apart at the end of two hrs . If one car travels 6 kph faster than the other , find the average speed of the slower car .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2 *( x + y ) -( 360),y-(x+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "87" + ], + "split": "train" + }, + { + "Input": "How much 20 % anti-freeze should be mixed with 60 % anti-freeze to get 10 liters of 28 % anti-freeze ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( .01 * 60 ) *x + ( .01 * 20 ) *y -( ( .01 * 28 * 10 )),y-((10-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "One number is 4 more than twice the second number . Their total is 25 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*y + 4 -( y),y+y-(25)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "A woman invests 4 times as much at 5 % as she did at 6 % . The total amount of interest she earns in 1 year from both accounts is $ 520 . How much did she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y),0.01*5*y+0.01*6*y-(520)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "dev" + }, + { + "Input": "Suppose you combine ingots of 25 % copper alloy and 50 % copper alloy to create 40 kg of 45 % copper alloy . How many kilograms of each do you need ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*25*x+0.01*50*y-(0.01*45*40),x+y-(40)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "the sum of a certain number and a second number is -42 . the first number minus the second is 52 . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-42),x-y-(52)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-47" + ], + "split": "train" + }, + { + "Input": "If Sally can paint a house in 4 hours , and John can paint the same house in 6 hour , how long will it take for both of them to paint the house together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([((1/4)+(1/6))*x-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "dev" + }, + { + "Input": "Jason is six times as old as Kate . In two years , Jason will be twice as old as Kate is then . How old is Jason now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 2 -( 2 *( y + 2 )),y -( 6*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "Anne and Nancy use a metal alloy that is 19.75 % copper to make jewalry . How many ounces of an 18 % alloy must be mixed with a 21 % alloy to form 108 ounces of the desired alloy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(108),( 0.01 * 18 ) *x + ( 0.01 * 21 ) *y -( ( 19.75 * 0.01 * 108 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "When you reverse the digits in a certain two digit number you decrease its value by 27 . What is the number if the sum of its digits is 5 ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(5),10*y+x-(10*x+y-27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "In history class , the girl to boy ratio is 9 to 8 . If there are a total of 68 students , how many girls are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(68),9*x -( 8*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "test" + }, + { + "Input": "Ruffy is three-fourths as old as Orlie . Four years ago , Ruffy was 1 year more than half old as Orlie . How old is each ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( .75*y),( x - 4 ) -( .5 *( y - 4 ) + 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "Keil is going to make 13 pounds of mixed nuts for a party . Peanuts cost 2.00 per pound and fancy nuts cost 7.50 per pound . If Keil can only spend 70.00 on nuts , how many of each pounds should he buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(13-y),7.50*y+2*y-(70)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "One whole number is three times a second . if 20 is added to the smaller number , the result equals 6 more than the larger number . Find both numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x -( y),x+20-(y+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "George saves nickles and dimes for tolls . If he has 28 coins worth $ 2.60 , how many are nickles and how many are dimes ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.1*y-(2.6),x+y-(28)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "A coffee merchant has coffee beans that sell for $ 9 per poind and $ 12 per point . The two types are to be mixed to create 100 lb of a mixture that will sell for $ 11.25 per pound . How much of each type of bean should be used in the mixture ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(100),9*x+12*y-(100*11.25)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "the sum of 2 numbers is 55 and one number is 9 less then the other .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(55),x+9-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "there were 429 people at a play . admission was $ 1 for adults and $ 0.75 for children . the receits were $ 372.50 . how many adults and how many children attended the play ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([1.00*x + 0.75*y -( 372.50),y-((429-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "203" + ], + "split": "test" + }, + { + "Input": "How many grams of salt need to be added to 60 grams of a 20 % salt solution in order to increase the salt content to 25 % ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x+60*0.01*20-(60*0.01*25)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Ten years ago a man was as old as his wife is now . The man is now twice as old as his wife back then . How old are they both now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 10 -( 2*y),y-(x-10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 70 . One number is ten more than twice the other number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-((70-y)),y -( 2*y + 10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "It cost a familly of seven a total of $ 119 for general admission tickets to the San Diego Zoo . If adult tickets cost $ 21 and children 's tickets cost $ 14 , how many adult tickets were purchased ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(7),21*x+14*y-(119)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "How much water must be added to 75 ml of a 75 % alcohol solution to obtain 45 % alcohol solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*75*(75)-(0.01*45*(75+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "Susan wants to mix 10 pounds of Virginia peanuts that cost $ 3.50 a pound with Spanish peanuts that cost $ 3.00 a pound to obtain a mixture that costs $ 3.40 a pound . How many pounds of Spanish peanuts should she use ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3.5+3.0*x-(3.4*(10+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "-76.25" + ], + "split": "train" + }, + { + "Input": "A solution of 35 % glycol is held in a 400 gallon tank . A 72 % solution of glycol is held in a 190 gallon tank . How much of the two tanks must be added together to have a 200 gallon tank of 50 % glycol ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(200),0.01*35*x+0.01*72*y-(0.01*50*(200))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "118.918918919" + ], + "split": "test" + }, + { + "Input": "Three years ago , X 's age was double of Y 's . Seven year hence the sum of their ages will be 83 years . What is the age of X today ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 3 -( 2 *( y - 3 )),x+7+y+7-(83)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "A specialty coffee store creates a special mix of two coffees at two different prices : $ 6.42 and $ 7.28 per pound each . How many pounds of the $ 7.28 coffee should be mixed with 7 pounds of $ 6.42 coffee to sell the mixture for $ 7.20 per pound ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([7.28*x+7*6.42-(7.20*(7+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "68.25" + ], + "split": "train" + }, + { + "Input": "A bag of peanuts is worth 0.30 less than a bag of cashews . Equal amount of peanuts and cashews are used to make 40 bags of a mixture that sells for 1.05 per bag . How much is a bag of cashews worth ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([20*x + 20*y -( 1.05 *( 40 )),y-((x-.3))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "test" + }, + { + "Input": "during the early 1990 's kelly invested 8000 into two different types of accounts within a bank certificates of deposit and savings account . For her accounts she received 8 % interest for her certificates of deposit and 6 % for her savings account . In total she earned 580 for the yeat . How much money was invested in each type of account ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*8*x+0.01*6*y-(580),x+y-(8000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "test" + }, + { + "Input": "A car radiator contains 10 liters of a 30 % antifreeze solution . How many liters will have to be replaced with pure antifreeze if the resulting solution is to be 50 % antifreeze ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*30*(10-x)+x-(0.01*50*(10))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.85714285714" + ], + "split": "train" + }, + { + "Input": "Two-thirds of a number increased by three-fourth is five-third , what is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.66666666*x+0.75-(1.66666666666)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.375" + ], + "split": "dev" + }, + { + "Input": "Three times one number added to another is 14 . Twice the first number , minus the other number is 1 . What are the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x-y-(1),3*x+y-(14)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "how many quarts of pure antifreeze must be added to 4 quarts of a 10 % antifreeze solution to obtain a 20 % antifreeze solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*10*4)+x-((.01*20)*(x+4))],(x))\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "dev" + }, + { + "Input": "an auto mechanic needs 24 gallons of anti-freeze with a 30 percent glycol concentration . he has on hand only anti-freeze with a 40 percent glycol concentration and one with a 10 percent glycol concentration . How much of the 40 percent should he mix with the 10 percent to get the 24 gallons of 30 percent solution he needs ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*40)*x+(0.01*10)*y-((0.01*30*24)),y-((24-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "a boat owner mixes together oil and gasoline to make 12 gallons of fuel for 8 $ per gallon . Oil cost $ 15 per gallon and gasoline cost $ 3 per gallon . hOW MANY GALLONS OF EACH SHOULD USED ???", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(12),15*x+3*y-(12*8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "gary drove to Sarnia . Part of the trip was along major highways and the rest was along country roads . the speed limit is 100 km/h on the hgihgways and 80 km/h on the other roads . he spent a total of 12 hours driving 1050 km . write a system of equations that would allow you to find how much time did he spend on each type of road .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(12),100*x + 80*y -( 1050)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "test" + }, + { + "Input": "Every morning , Don Miguel exercises by walking a certain distance at an average of 4 kph , rests for 0.3333 hours . and rides back along the same road on his chauffer-driven limousine at an average speed of 60 kph . If the total time of travel is 1.25 hours , how far does he walk ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/4)*x+(1/60)*x+0.3333-(1.25)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.437625" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 89 . Adding four times the first number to the second number gives 155 . Which one of the follwoing equaitons expresses this problem algebraically ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(89),4*x+y-(155)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "Mary is 9 years older than Seth . In a year she will be 3 times as old as he is . How old are they ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 1 -( 3 *( y + 1 )),y-(y+9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "If 6 kilos of oranges and 5 kilos of apples cost 419 while 5 kilos of oranges and 7 kilos of apples cost 488 , what is the cost of each per kilo ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x+5*y-(419),5*x+7*y-(488)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "train" + }, + { + "Input": "The difference between two numbers is 16 . Three times the larger number is 9 times the smaller . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(16),3*x -( 9*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "three times a number , increased by four , is one half the same number , decreased by one . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x + 4 -( 0.5 * x - 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "-2" + ], + "split": "train" + }, + { + "Input": "You invest $ 7,200 in two accounts paying 8 % and 10 % annual interest , repectively . At the end of the year , the accounts earn the same interest . How much was invested at each investment ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x -( ( 0.01 * 10 ) *y),y-((7200-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4000" + ], + "split": "dev" + }, + { + "Input": "two times a number plus three times another number equals 13 . the sum of the two numbers is 7 . what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(7),2*x+3*y-(13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-1" + ], + "split": "train" + }, + { + "Input": "Bus A is 150 miles due east of Bus B. Both busses start driving due west at constant speeds at the same time . It takes Bus A 10 hours to overtake Bus B . If they had started out at the same time , had driven at the same constant speeds , but had driven toward one another , they would have met in 2 hours . What is the speed , in miles per hour , of Bus A ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x+2*y-(150),10*x-10*y-(150)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "Justin can mow a lawn in 2 hours . David can mow a lawn in 3 hours . How long will it take them to mow one lawn together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/2+1/3)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "test" + }, + { + "Input": "Tim and Judy mix two kinds of feed for pedigreed dogs . They wish to make 27 pounds of feed worth $ 0.26 per pound by mixing one kind worth $ 0.17 per pound with another worth $ 0.36 per pound . How many pounds of the cheaper kind should they use in the mix ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.17*x+0.36*y-(27*0.26),y-((27-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14.2105263158" + ], + "split": "train" + }, + { + "Input": "A biologist has two brine solutions , one containing 3 % salt and another containing 12 % salt . How many milliliters of each solution should she mix to obtain 1000 milliliters of a solution that contains 8.4 % salt ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*12*x+0.01*3*y-(0.01*8.4*(1000)),x+y-(1000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "For a party , adult tickets were sold at $ 15 and child tickets were sold at $ 10 . there were 140 tickets sold for a total value of $ 1600 . How many of each type of ticket were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(140),15*x+10*y-(1600)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "You have a 20 % solution and a 70 % solution . How many liters of each solution do you need to mix when you need 200 liters of a 50 % alcohol solution .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*20)*x+(0.01*70)*y-((0.01*50*200)),y-((200-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "Bella 's brother is 9 years older than Bella . Their ages add up to 19 . How old is Bella ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(19),x-y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "A cruise boat travels 60 miles downstream in 3 hours and returns to its starting point upstream in 12 hours . Find the speed of the stream .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+3*y-(60),12*x-12*y-(60)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "test" + }, + { + "Input": "Tap a is able to fill a bath in 20 minutes , tap b is able to fill the same bath in 30 minutes . How long would it take them to fill the same bath if they are turned on together", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 20 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "You are 4 times as old as your sister . In 8 years time you will be twice as old as your sister . What are your ages now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y),y + 8 -( 2 *( y + 8 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. . The company paid an average of $ 300 for each Douglas fir and $ 225 for each ponderosa pine . If the company paid $ 217,500 for the trees , how many of each kind did the company buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(850-y),300*y+225*y-(217500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "dev" + }, + { + "Input": "if the sum of 2 numbers is 107 and the difference is 17 find the number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(107),x-y-(17)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a number is 8 times the sum of its digits . the tens digits is 5 greater than the units digit . find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x + y -( 8 *( x + y )),x-(y+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "The greater of two numbers is 5 less than twice the lesser number . The sum of the two numbers is 28 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),2*x - 5 -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "The larger of two numbers is 2 more than 4 times the other . Their sum is 33 . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y + 2),y+y-(33)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6.2" + ], + "split": "train" + }, + { + "Input": "An airplane flew to San Diego with a tailwind and averaged 485 miles per hour . On the return trip the plane only averaged 275 miles per hour . find the speed of the wind and the speed of the plane in still air .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(275),x+y-(485)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "train" + }, + { + "Input": "the sum of two number is 15 . three times one number is 11 less than five times the other . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(15-y),3*y -( 5*y - 11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "Aunt Mary , 42 years old , has a 12-year old niece . In how many years will the aunt be twice as old as her niece ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([42+x-(2*(12+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "HOW MANY LITERS OF A 20 % SALT SOLUTION MUST BE ADDED TO 8 LITERS OF A 5 % SALT SOLUTION TO YIELD AN ALLOY THAT IS A 10 % SALT SOLUTION ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*20*x+0.01*5*8-(0.01*10*(x+8))],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "14 less than three times a number is equal to the number . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x - 14 -( x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 56 . One-third of the first number plus one-fourth of the second number is 16 . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(56),0.333333*y+0.25*x-(16)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24.0000960004" + ], + "split": "test" + }, + { + "Input": "One number is four more than a second number . Two times the first number is 12 more than four times the second number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+4-(y),2*y -( 12 + 4*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-2" + ], + "split": "train" + }, + { + "Input": "jen was 25 years old when her son was born , her present age is 7 years less than 3 times her son 's present age . how old is jen now ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x - 7 -( 25 + x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "If a parade 2 mile long is proceeding at 3 mph , how long will it take a runner , jogging at 6 mph , to travel from the front of the parade to the end of the parade ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(6+3)-(2)],(x))\nprint(answer)" + ], + "Output Answer": [ + "0.222222222222" + ], + "split": "train" + }, + { + "Input": "two power shovels excavate 20,000 cubic meters of earth , the larger shovel working for 40 hours and the smaller for 35 hours . On another job , they removed 40,000 cubic meters with the larger shovel working 70 hours and the smaller working 90 hours . How much earth can each move in 1 hour working alone ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([40*x+35*y-(20000),70*x+90*y-(40000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "347.826086957" + ], + "split": "test" + }, + { + "Input": "The sum of three times a first number and twice a second number is 8 . If the second number is subtracted from twice the first number , the result if 3 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 2*y -( 8),2*x - y -( 3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "Tom 's home is 1800 m from his school . One morning he walked part of the way and then ran the rest . If it took him 20 min or less to get to school and he walks 70 m/min and runs 210 m/min how far did he run ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 1 / 210 ) *x + ( 1 / 70 ) *y -( 20),x+y-(1800)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "dev" + }, + { + "Input": "In printing an article of 48,000 words , a printer decides to use two sizes of type . Using the larger type , a printed page contains 1,800 words . Using smaller type , a page contains 2,400 words . The article is allotted 21 full pages in a magazine . How many pages must be in smaller type ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2400*x + 1800*y -( 48000),x+y-(21)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "nineteen more than four times a number is equal to the difference between 166 and three times the number . find the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*x+19-(166-3*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "One number is 4 more than three times a smaller number . If twice the larger number is decreased by three times the smaller number , the result is 32 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 3*y + 4),2*y - 3*y -( 32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "A plane can fly 340 mph in still air . If it can fly 200 miles downwind in the same amount of time it can fly 140 miles upwind , find the velocity of the wind .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([200*(340-x)-((340+x)*140)],(x))\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "Two students are 350 m apart and begin walking toward one another at constant rates . One travels at 1.6 m/s and other at 1.9 m/s . how long will they walk until they meet ? how far has each of them gone ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1.6 + 1.9 ) *x -( 350)],(x))\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "How many liters each of a 15 % antifreeze solution and a 30 % antifreeze solution must be mixed to make 6 liters of a 20 % antifreeze solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 15 ) *x + ( 0.01 * 30 ) *y -( ( 6 * 0.01 * 20 )),y-((6-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Mr. X operates a soybean farm . To keep costs down , he buys many products in bulk and transfers them to smaller containers for use on the farm . Often the bulk products are not the correct concentration and need to be custom mixed before Mr. X can use them . One day he wants to apply fertilizer to a large field . A solution of 74 % fertilizer is to be mixed with a solution of 53 % fertilizer to form 42 liters of a 63 % solution . How much of the 74 % solution must he use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 74 ) *x + ( 0.01 * 53 ) *y -( ( 42 * 0.01 * 63 )),x+y-(42)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "mary has 7 more than twice as many quarters as dimes . Her total is $ 10.15 , how many of each coin did she have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([7+2*x-(y),0.25*x+0.1*y-(10.15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "The distance between two automobiles is 140 km . If the cars are driven toward each other , they will meet in 48 minutes . However , if they are driven in the same direction , they will meet in 240 minutes . What is the rate at which each car is driven ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([48*(x+y)-(140),240*y + 140 -( 240*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.75" + ], + "split": "train" + }, + { + "Input": "The last time Carolina visited the post office , she spent $ 4.49 to mail letters and packages . Each letter cost .37 to mail , while each packages cost .88 to mail . If she sent two more letters than packages , how many letters did she mail ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(2),0.37*x+0.88*y-(4.49)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "kevin 's sister mary is 5 years younger than he is . the total of their ages is 33 years . how old is kevin ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(33),y-(x-5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "test" + }, + { + "Input": "Joe can run twice as fast as Pete . They start at the same point and run in opposite directions for 40 minutes and the distance between them is then 16 km . How fast does Joe run ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([16-(40*(x+y)),y -( 2*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.133333333333" + ], + "split": "train" + }, + { + "Input": "Allen bought 20 stamps at the post office in 37 cents and 20 cents denominations . If the total cost of the stamps was $ 7.06 , how many 37 cents stamps did Allen buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*37*x+0.01*20*y-(7.06),x+y-(20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "One number is four times another number , if their sum is 95 , what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y),y+y-(95)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "Joe traveled against the wind in a small plane for 3 hr . The return trip with the the wind took 2.8 hr . Find the speed of the wind if the speed of the plane is still air is 180 mph .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*(180-x)-(2.8*(x+180))],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.20689655172" + ], + "split": "train" + }, + { + "Input": "A family makes a 43.25 km trip in 5.5 hours . On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h . For the rest of the trip , they hiked on a scenic trail . If their average walking speed was 5 km/h , how far did they walk ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 1 / 12 ) *x + ( 1 / 5 ) *y -( 5.5),(43.25-x)-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "A cyclist can travel 29.6 miles in 2 hours . At this rate , how far can the same cyclist travel in 0.75 hour ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x-(0.75*29.6*(1/2))],(x))\nprint(answer)" + ], + "Output Answer": [ + "11.1" + ], + "split": "dev" + }, + { + "Input": "A can mow a lawn in 130 minutes , B takes 100 minutes and C takes 150 minutes . How long will it take all three , if they work together mowing the same lawn ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/130+1/100+1/150)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "41.0526315789" + ], + "split": "train" + }, + { + "Input": "Bruce is 36 years old . His son is 8 . In how many years will Bruce be 3 times as old as his son ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([36 + x -( 3 *( 8 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 42 . One number plus two times the other number is 57 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(42),x + 2*y -( 57)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "test" + }, + { + "Input": "Angela is four times as old as Beth . Five years ago the sum of their ages was 45 years how old will angela be in five years ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 4*y),(x-5)+(y-5)-(45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "dev" + }, + { + "Input": "the greater of two numbers is 5 more than the smaller . if the smaller is added to twice the greater , the result is 22 . find both of the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-((y-5)),y+2*y-(22)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "University Theater sold 529 tickets for a play . Tickets cost $ 25 per adult and $ 15 per Senior Citizen . If total receipts were $ 9745 , how many senior citizen tickets were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(529),25*x+15*y-(9745)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "348" + ], + "split": "train" + }, + { + "Input": "A man invests a certain amount of money at 2 % interest and $ 800 more than that amount in another account at 4 % interest . At the end of one year , he earned $ 92 in interest . How much money was invested in each account ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*2)*x+(0.01*4)*y-(92),y-((x+800))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "How many pints of a 5 % antifreeze solution and how many pints of a 20 % antifreeze solution must be mixed to obtain 12 pints of a 15 % solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x + 20*y -( 15 * 12),x+y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Nancy can mow a yard in 3 hours and Peter can mow it in 4 hours . Suppose they both work together , how long would it take to finish ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 + 1 / 4 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.71428571429" + ], + "split": "train" + }, + { + "Input": "A silversmith has two alloys , one containing 70 % silver and the other 40 % silver . How much of each should be melted and combined to obtain 400 grams of an alloy containing 61 % silver ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(400),(x)*(0.01*70)+(y)*(0.01*40)-(400*0.01*61)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "dev" + }, + { + "Input": "One number is 4 more than another , and their sum is 60 . What is the smaller number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-((y+4)),y+y-(60)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 25 . One number is twice the second plus seven . What are the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y + 7),y+y-(25)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "A 6-passenger plane cruises at 180 mph in calm air . If the plane files 7 miles with the wind in the same smount of time as it flies 5 miles against the wind , then what is the wind speed ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5*(180+x)-(7*(180-x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "Bill and Ben have combined ages of 91 . If bill is twice as old as Ben was when bill was as old as Ben , find their present ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(91),y -( 2 *( y - y + y ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "Leanna has $ 37 to spend in a record store . She can spend all of the money on two compact discs and a cassette , or she can buy one CD and two cassettes and have $ 5 left over . What is the price of a CD ? What is the price a cassette ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([37-(2*x+1*y),37-(1*x+2*y+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "one number is 5 times another the sum of the number is 96 what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 5*y),y+y-(96)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 18 . The sum of 3 times the smaller number and 4 times the larger number is 56 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(18),3*x+4*y-(56)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "one number is two more than a second number , twice the first is four less than three times the second .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+2),3*y-4-(2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "eight less than three times a number is equal to the sum of the number and four . What is the number", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x - 8 -( x + 4)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "A pipe can fill a tank in 30 minutes and another pipe can make empty the tank in 45 minutes . How much time it takes to empty the tank if both are working together .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 30 - 1 / 45 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "To be a lifeguard you must swim continuously for 500 yards doing either the front crawl or the breaststroke . You can swim the front crawl 45 yards per minute and the breaststroke 35 yards per minute . It takes you 12 minutes to swim 500 yards . How long did you spend swimming the front crawl ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(12),45*x + 35*y -( 500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "When 80 % of a number is added to the number , the result is 252 . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 0.01 * 80 ) *x + x -( 252)],(x))\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "dev" + }, + { + "Input": "On a certain hot summer 's day , 754 people used the public swimming pool . The daily prices are $ 1.50 for children and $ 2.25 for adults . The receipts for admission totaled $ 1422.00 . How many children and how many adults swam at the public pool that day ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(754),1.5*x+2.25*y-(1422)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "388" + ], + "split": "train" + }, + { + "Input": "A car and a bus started out from the same place , traveling in opposite directions . After 4 hours , they were 384 miles apart . One car was going 8 miles per hour faster than the other . How fast was each car going ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4 *( x + y ) -( 384),y-(x+8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "Two tanks hold a total of 54 gallons of a toxic solvent . One tank holds 9 gallons more than twice the amount in the other . How many gallons does each tank hold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(54),y-2*x-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "dev" + }, + { + "Input": "Rowing with the current of a river , a rowing team can row 25 mi in the same amount of time it takes to row 15 mi against the current . The rate of the rowing team in calm water is 20 mph . Find the rate of the current .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([15*(20-x)-(25*(20-x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "I add 9 to a certain number and divide the sum by 16 . If my final answer is 1 , what is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(9+x)-(1*16)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "A sales executive earns $ 1000 per month plus 5 % commission on the amount of sales . The executives goal is to earn $ 5000 per month . What amount of sales will enable the executive to ear $ 5000 or more per month ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*5*x+1000-(5000)],(x))\nprint(answer)" + ], + "Output Answer": [ + "80000" + ], + "split": "train" + }, + { + "Input": "a number when multiplied by 4 is 33 more than itself . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*x-(x+33)],(x))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "Clarence and Stephan went to the amusement park . Clarence rode the water slide 3 times and the roller coaster 3 times for a total $ 17.70 . Stephan rode the water slide 2 times and the roller coaster 3 times for a total of $ 15.54 . How much did each ride cost ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 3*y -( 17.7),2*x + 3*y -( 15.54)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.16" + ], + "split": "dev" + }, + { + "Input": "Flying to kampala with a tailwind a plane averaged 158 km/h . On return trip the plane only averaged 112 km/h while flying back into the same wind . find the speed of thw wind and the speed of the plane in still air .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(158),x-y-(112)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "a motor boat can maintain a constant speed of 16 miles per hour relative to the water . The boat makes a trip upstream to a certain point in 20 minutes ; the return trip takes 15 minutes . What is the speed of the current ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([15 *( 16 + x ) -( 20 *( 16 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.28571428571" + ], + "split": "train" + }, + { + "Input": "Mr. Phillips bought 7 drums of two different cleaning fluids for his dry cleaning business . One of the fluids cost $ 30 a drum and the other was $ 20 a drum . The total price of the supplies was $ 160 . How much of each fluid did Mr. Phillips buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(7),30*y+20*x-(160)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "Donna invested her $ 33,000 bonus and received a total of $ 970 in interest after one year . If part of the money returned 4 % and the remainder 2.25 % , then how much did she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(33000),(0.01*4)*x+(0.01*2.25)*y-(970)],(x,y))\nprint(answer)", + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*4)*x+(0.01*2.25)*y-(970),y-((33000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13000" + ], + "split": "train" + }, + { + "Input": "Ann is 5 years older than Kristine . In 10 years , Kristine 's age is 24 more than the difference of their ages will be . How old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+5),y+10-(x-y+24)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "There are 850 Douglas fir and ponderosa pine trees in a section of the forest bought by Sawz Logging Co. . The company paid an average of $ 300 for each Douglas fir and $ 225 for each ponderosa pine . If the company paid $ 217,500 for the trees , how many of each kind did the company buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(850),300*x + 225*y -( 217500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "A scientist has two solutions , which she has labeled Solution A and Solution B. Each contains salt . She knows that Solution A is 40 % salt and Solution B is 90 % salt . She wants to obtain 140 ounces of a mixture that is 80 % salt . How many ounces of each solution should she use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 40 ) * x + ( 0.01 * 90 ) *y -( ( 140 * 0.01 * 80 )),y-((140-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 43 . The difference of the same two numbers is 12 . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(43),x-y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15.5" + ], + "split": "dev" + }, + { + "Input": "Two cars leave town at the sime time traveling in opposite dirrections . One travels 70 mi/h and the other 55 mi/h . In how many hours will they be 250 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([70*x+55*x-(250)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "The larger of two numbers is 2 more than 4 times the smaller . Their sum is 67 . FIND THE numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(4*y+2),y+y-(67)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "dev" + }, + { + "Input": "Walt made an extra $ 9000 last year from a part-time job . He invested part of the money at a 9 % annual rate of interest , and the rest at an 8 % annual rate of interest . At the end of the year , he made a total of $ 770 in interest . How much was invested at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x + ( 0.01 * 9 ) *y -( 770),y-((9000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4000" + ], + "split": "test" + }, + { + "Input": "one number is twice another number . If the larger is diminished by ten the result is two more than the smaller . Find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y),y-10-(y+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "Susan decided to run the store which is 8 km from her house . She ran at a rate of 7 km per hour for part of the way and than walk at a rate of 3 km per hour the rest of the way . if the total trip took 2 hrs how many km did she run .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 1 / 3 ) *x + ( 1 / 7 ) *y -( 2),y-((8-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 80 . The larger number is nine less than three times the smaller . Find both numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x - 9 -( y),x+y-(80)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22.25" + ], + "split": "test" + }, + { + "Input": "if one is five more than another and their sum is seventy-one . find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(71),y-(x+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "A total of $ 50,000 is invested in two funds paying 8 % and 8.5 % simple interest . The annual interest is $ 4120 . How much is invested in each fund ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(50000),( 0.01 * 8 ) *x + ( 0.01 * 8.5 ) *y -( 4120)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "26000" + ], + "split": "dev" + }, + { + "Input": "Two integers have a sum of 255 . The difference of the two numbers is 45 . What are the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(255),x-y-(45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "test" + }, + { + "Input": "A 57-foot long piece of rope is cut into two pieces so that one piece is three feet shorter than four times the other piece . Find the length of each piece .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(57),4*y-x-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "How many ounces of pure chocolate must be added to 220 ounces of chocolate topping that is 50 % chocolate to make a topping that is 75 % chocolate ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x+0.01*50*(220)-(0.01*75*(220+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "dev" + }, + { + "Input": "How much pure iodine must be added to 250 mL of 8 % iodine solution to get a 20 % iodine solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*8*250)+x-((0.01*20)*(x+250))],(x))\nprint(answer)" + ], + "Output Answer": [ + "37.5" + ], + "split": "dev" + }, + { + "Input": "A bricklayer and an eectrician together 90 hours working on a new house . If the bricklayer earns $ 12 per hour , the electrician earns $ 16 per hour , and the wner pays them a total of $ 1350 for their work , how many hours does each worker spend on the house ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(90),12*x+16*y-(1350)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "67.5" + ], + "split": "train" + }, + { + "Input": "If one number exceeds another number by 13 and the larger number is 1.5 times the smaller number , what is the smaller number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(1.5*y),y+13-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "dev" + }, + { + "Input": "Tickets for a basketball tournament were $ 6 for students and $ 9 for nonstudents . Total sales were $ 10,500 , and 250 more student tidkets were sold than nonstudents . How many of each type of ticket were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x+9*y-(10500),x-((y+250))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "850" + ], + "split": "train" + }, + { + "Input": "a truck traveling 45 miles a hour and a car traveling 55 miles a hour cover the same distance . The truck travels 4 hours longer than the car . How far did they travel .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 45 ) *x -( ( 1 / 55 ) *x + 4)],(x))\nprint(answer)" + ], + "Output Answer": [ + "990" + ], + "split": "test" + }, + { + "Input": "Serena is nine years old . Her mother is 39 years old . In how many years will her mother be three times as old as Serena ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([39 + x -( 3 *( 9 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "Two numbers have a sum of 67 . The smaller number is 21 less than the larger number . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(67),y-((y-21))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "test" + }, + { + "Input": "A and B starts running towards each other with speed of 30 m/hr and 20 miles/hr initially they are 500 miles apart when they start . After how many hr will they meet .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([30*x + 20*x -( 500)],(x))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "joe 's age is 4 less than the age of his brother tom . the sum of their age is 41 . find the age of each .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-4),x+y-(41)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18.5" + ], + "split": "train" + }, + { + "Input": "Mrs. Lynch has 21 coins in nickles and dimes . Thier total value is $ 1.65 . How many of each coin is there", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([.05*x + .10*y -( 1.65),x+y-(21)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "British sterling silver is a copper-silver alloy that is 7.5 % copper by weight . How many grams of pure copper and how many grams of British sterling silver should be used to prepare 200 grams of a copper-silver alloy that is 10 % copper by weight ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+(0.01*7.5)*y-((0.01*10*200)),y-((200-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5.40540540541" + ], + "split": "test" + }, + { + "Input": "An airplane travels 6030 km against the wind in 30 hours and 6750 with the wind in the same amount of time . What is the rate of the plane in still air and what is the rate of the wind ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([30*x + 30*y -( 6750),30*x - 30*y -( 6030)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "213" + ], + "split": "test" + }, + { + "Input": "Leah and Ryanne went out for a bike ride into the country . They averaged 24 miles per hour on the way out and 18 miles per hour on the way back by the same roads . Their total travel time was 7 hours . How far did they go ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 24 + 1 / 18 ) *x -( 7)],(x))\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 75 . The second number is 3 less than twice the first . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(75),2*x-y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "test" + }, + { + "Input": "The difference between two numbers is 14 . The sum of the two numbers is 56 . What are the two numbers and it 's product ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(14),y-((56-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "A pilot flew an average of 300 mph on a flight out . On the return flight to the same airport , he flew at an average speed of 500 mph . The total flight time was 8 hours . How far did he fly each way ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/300)*x+(1/500)*x-(8)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "dev" + }, + { + "Input": "Linda is 3 more than 2 times the age of Jane . In five years the sum of their ages will be 28 . What is Linda 's age at present ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 3 + 2*y),(x+5)+(y+5)-(28)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "Kevin is 16 years old and Vanessa is 2 years old . How many years will it take until Kevin is only 3 times as old as Vanessa ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([16 + x -( 3 *( 2 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Two cars leave town A at the same time going in the same direction . The speed of one car is 40 mph , and the speed of the other car is 55 mph . In how many hours will the cars be 45 mi apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([55*x - 40*x -( 45)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "The difference of two numbers is 37 . The larger number is three less than six times the smaller number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(37),x -( 6*y - 3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "A man 38 years old has a son who is 14 years old . How many years ago was the father seven times as old as his son ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([38 - x -( 7 *( 14 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "One number is 7 less than another . If 4 times the smaller number plus 2 times the larger number is 62 . find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(7),4*y + 2*x -( 62)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "darren and doug must paint the 792 foot fence that encircles their family home . because darren is older , he has agreed to paint 20 % more than darren . how much of the fence will each boy Paint ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(792),y-((x+0.01*20*x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "if the ratio of two brothers ' ages is 3 to 2 and their total age is 60 years old , what is the difference in their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(60),2*x-3*y-(0)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "When Ricky was 10 years old , his father was 45 . How many years must pass for Ricky to be 5 years older than 1/5 as old as his father ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(10+x)-((1/5)*(45+x)+5)],(x))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the cooling system in ann 's car contains 19 liters of 30 % antifreeze . how much coolant must be drained out and replaced with 80 % antifreeze so that the system will contain 50 % antifreeze . how much of the original coolant will be left in the car ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(19),0.01*30*(y)+0.01*80*x-(0.01*50*(19))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7.6" + ], + "split": "dev" + }, + { + "Input": "A bricklayer and an electrician together spend 90 hours working on a new house . If the bricklayer earns $ 12 per hour , the electrician earns $ 16 an hour , and the owner pays them a total of $ 1350 for their work , how many hours does each worker spend on the house ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(x+y)-(90),( 12*x + 16*y ) -( 1350)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "one number is four greater than another number when three times the smaller number is added to twice the larger number the result is 43 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*y + 2*y -( 43),y-(4+y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "It takes Sal 5 hours to paint a house . It takes Mary 3 hours to paint the same house . How long will it take to paint the house if both of them work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 5 + 1 / 3 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.875" + ], + "split": "test" + }, + { + "Input": "Father is 5 time older then son . In 15 years father will be twice as older then son how old Father at present age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 15 -( 2 *( y + 15 )),x -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "One number is 9 more than 3 times another . If their sum is 53 , what is the smaller number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*y + 9 -( y),y+y-(53)],(x,y))\nprint(answer)", + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(53),y -( 3*x + 9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11", + "42" + ], + "split": "train" + }, + { + "Input": "A high school graduating class is made up of 345 students . There are 69 more girls than boys . How many boys are in the class ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(345),y-((x+69))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "138" + ], + "split": "train" + }, + { + "Input": "You invest $ 8000 in two accounts paying 8 % and 5 % respectively . If the interest at year 's end is 490 , how much of that amount did you invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x + ( 0.01 * 5 ) *y -( 490),y-((8000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "dev" + }, + { + "Input": "The sum of the digits is 9 . If the digits are reversed , the numbers is increased by 27 . Find the original no .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(9),10*x + y + 27 -( 10*y + x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Mike 's house payments rose from $ 295 to $ 310 per month . In the past 12 months , he paid $ 3615 . How many payments at each rate did he make ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([310*x + 295*y -( 3615),y-((12-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Jane worked 3 times as many hours last week as Jim did . If they worked 28 hours between the two of them , how many hours did each of them work", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(28),y -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "A pool can be filled with water in 10 hours . Draining the pool requires 20 hours . If the pool is empty and the drain is open how much time will be needed to fill the pool ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 10 - 1 / 20 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "two cyclists leave the city at the same time , one going east and the other going west . The westbound cyclist bikes 5 mph faster than the eastbound cyclist . after 6 hours they are 246 miles apart . How fast is each cyclist riding ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6 *( x + y ) -( 246),y-(x+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Ben is 3 years younger than Dan . The sum of their ages is 53 . How old is each ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(53),x-(y-3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "four years hence a boy will be twice as old as he was 6 years ago . what is his present ages ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( x + 4 ) -( 2 *( x - 6 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "Jose can paint a room in two hours , juanita can paint the room in three hours , how long would it take them to paint the room working together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/2+1/3)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "test" + }, + { + "Input": "Transport a and transport b left the loading dock at noon and headed in opposite directions . If transport a traveled at 60 mph and transport b traveled at 68 mph , how many hours was it before they were 348 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([60*x + 68*x -( 348)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.71875" + ], + "split": "train" + }, + { + "Input": "Anna has 12 bills in her wallet , some $ 5 and some $ 10 . The total value of the bills is $ 100 . How many of each bill does Anna have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x + 10*y -( 100),y-(12-x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "You are going to invest $ 25,000 , part at 14 % and part at 16 % . What is the most that can be invested at 14 % in order to make at least $ 3000 interest per year ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 14 ) *x + ( .01 * 16 ) *y -( 3000),x+y-(25000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50000" + ], + "split": "test" + }, + { + "Input": "Soybean meal is 16 % protein ; cornmeal is 8 % protein . How many pounds of each should be mixed together in order to get 320-lb mixture that is 14 % protein ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*16)*x+(0.01*8)*y-((0.01*14*320)),y-((320-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "test" + }, + { + "Input": "a coumputer online service charges one hourly price for regular use but a higher hourly rate for designated '' permium '' areas . One customer was charged $ 28 after spending 2 h in permium areas and 9 regular hours . Another spent 3 h in the permium areas and 6 regular hours and was charged $ 27 . What does the online service charge per hour for regular and premium service ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x+9*y-(28),3*x+6*y-(27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "One number is seven less than another number . The sum of the numbers is thirty-three . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(33),x-y-(7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "the difference between two numbers is 10 . When eight times the smaller number is added to 40 , the result is ten less than three times the larger number . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(10),8*x+40-(3*y-10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-16" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 45 . Twice the smaller number is three more the larger number . What is the product of the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(45),2*x-y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "test" + }, + { + "Input": "A discount store sold plastic cups for $ 3.50 each and ceramic cups for $ 4.00 each . If 400 cups were sold for a total of $ 1,458 , how many cups of each type were sold ? What was the dollar value of each type of cup sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(400),3.5*x+4*y-(1458)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "284" + ], + "split": "train" + }, + { + "Input": "If jake has 20,000 to invest in two accounts . With one account earns 1 % simple interest . And second account earns 3 % . How much should be invested in each account To earn exactly 450.00 at the end of the year .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(20000),0.01*1*(x)+0.01*3*y-(450)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7500" + ], + "split": "train" + }, + { + "Input": "Pat invested a total of $ 3000 . Part of the money yields 10 % interest per year and the rest yields % 8 interest per year . If the total yearly interest fromt his investment is $ 256 how much did Pat invest at 10 % and how much did she invest at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(3000),( 0.01 * 10 ) *x + ( 0.01 * 8 ) *y -( 256)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "Craig is 24 years younger than his mother . Together their ages total 56 years . How is each person ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(56),x-y-(24)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "How much water must be added to 90 liters of a 20 % salt solution to dilute it to a 15 % salt solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([90*0.01*20-(0.01*15*(90+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "piggy bank consists of nickels and dimes . there are 30 coins worth $ 1.90 , how many nickels and dimes are in the piggy bank", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.10*y-(1.90),y-((30-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "dev" + }, + { + "Input": "a chemist has one solution that is 30 % pure salt and another is 60 % pure salt . how many ounces of each solution must he use to produce 60 ounces of a solution that is 50 % pure salt ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( .01 * 60 ) *x + ( .01 * 30 ) *y -( .01 * 50 * 60 ),y-((60-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "Jen works 7 hours a week more than Ben . Jen worked as much in 4 weeks as Ben works in 6 weeks . How many hours does each work per week ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4*y-(6*y),y-((y+7))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "two integers with a difference of -11 and a sum of -3 what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-3),x-y-(-11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Luis and Julia have the same number of coins . Luis has only dimes and Julia has only quarters . If Julia has $ 1.80 more than Luis does , how much does each have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y),0.10*x-(0.25*y-1.8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "One number is 6 more than the other . Their sum is 0 . What is the value of the smaller number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(0),(x-6)-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "A father is now four times as old as his son . If the sum of their ages ten years ago was sixty . find their present ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(x-10)+(y-10)-(60),y -( 4*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "One number is 25 % of another . The larger number is 12 more than the smaller number . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(0.01*25*y),y-(x+12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "A chemistry student needs to make a solution that is 70 % water and 30 % hydrochloric acid . The student 's current mixture of 300 mL is 60 % water and 40 % hydrochloric acid . How much water must the student add to achieve his desired solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*60*300+x-(0.01*70*(300+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "the age of the father is twice the sum of the ages of his two children . after 20 years , his age will be equal to the sum of the ages of his children .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y),x+20-(y+20+20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "How many litres of fuel costing $ 1.15 per litre must be mixed with 20 litres of fuel costing $ 0.85 per litre to obtain a mixture costing $ 1 per litre .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*1.15+20*0.85-((20+x)*1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "an investor is planning to invest $ 25,000 for one year . she plans to invest a portion of this money at 7 % and the remaining at 12 % . what is the maximum amount of money that can be invested at 7 % in order to make at least $ 2,450 for the year ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(25000-x)-(y),( 0.01 * 7 ) *x + ( 0.01 * 12 ) *y -( 2450)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11000" + ], + "split": "train" + }, + { + "Input": "Two pipes are pumping water into a 1200 gallon well . If the first pipe can pump water at the rate of 48 gallons per hour and the second pipe can pump water at the rate of 192 gallons per hour , in how many hours will the well be filled ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 48 + 192 ) *x -( 1200)],(x))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a famer employs two students to pack peaches into trays for a market . at the end of the day they have packed a total of 288 trays . if student A packed 5 trays for every 7 that student B packed how many did each of them pack -LRB- show working -RRB-", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(288),5*x-7*y-(0)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "sum of two numbers is 36 . One number is 3 times the other number . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "Morgan was very pleased with a 10 % improvement on her second SAT attempt . She got 1100 on her second try . What was her first score ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x+0.01*10*x-(1100)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "Rosa is 18 years old and Arthur is 24 years old . How many years ago was Arthur three times as old as Rosa ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([24 - x -( 3 *( 18 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 28 . One number is 3 times as big as the other . What is the smaller number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 3*y),y-((28-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "A two-digit counting number has a value that is 7 times the sum of its digits . If 5 times the units ' digit is 9 more than the tens ' digit , what is the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x + y -( 7 * ( x + y )),5*y -( 9 + x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "The sterilization tank contains 100 gal of a solution of 2 % ordinary household bleach mixed with pure distilled water . New research indicates that the concentration of bleach should be 5 % for complete sterilization . How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*2)*(100-x)+1*x-((0.01*5)*100)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.0612244898" + ], + "split": "train" + }, + { + "Input": "the larger of two numbers is 7 more than three times the smaller number . When the smaller number is subtracted from the larger number , the result is 13 . find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(3*y+7),x-y-(13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "A mother 's age is three less than 3 times her daughters age . The sum of there ages is 45 . Find their ages", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(45),y-(3*x-3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 15 . Three times one of the numbers is 11 less than five times the other.Find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),3*y+11-(5*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "On an algebra test , theh highest grade was 44 points more than the lowest grade . The sum of the two grades was 140 . Find the highest grade .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(140),x-y-(44)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "dev" + }, + { + "Input": "twice one number added to three times another gives 21 . find the numbers , if the difference between them is 3 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(3),3*y+2*x-(21)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "The sum of the digits of a two digit counting number is 10 . If the digits are reversed , the new number is two less than three times the original number . What is the original number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),10*x + y -( 3 * ( 10*y + x ) - 2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "A cashier has 30 bills , all of which are $ 10 or $ 20 bills . The total value of the money is $ 330 . How many of each type does the cashier have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(30),10*x + 20*y -( 330)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "dev" + }, + { + "Input": "Jim can fill a pool carrying buckets of water in 30 minutes . Sue can do the same job in 45 minutes . Tony can do the same job in 90 minutes . how quickly can all three fill the pool together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/30+1/45+1/90)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Last month , a bookstore ran an ad for calculators on sale ; graphing calculators for $ 87 and scientific calculators for $ 18 . Sales of $ 4980 were generated , with 15 more graphing calculators sold than the scientific calculators . How many of each type of calculators did the bookstore sell ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([18*x + 87*y -( 4980),y-((x+15))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "test" + }, + { + "Input": "Lynn Ogen invested some money at 9 % interest and $ 100 less than that at 7 % interest . Her total annual interest was $ 73 . How much did she invest at 7 % interest ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 9 ) *y + ( 0.01 * 7 ) *y -( 73),y-((y+100))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "Two cars leave City A at the same time to travel to city B . One car travels at 72 km/h and other at 78 km/h . If the slower car arrives 0.333333 hours after the faster car , how far apart are City A and City B ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([72*x -( 78 *( x - 0.333333 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.333329" + ], + "split": "train" + }, + { + "Input": "How many liters of a 20 % alcohol solution must be mixed with 60 liters of a 70 % solution to get a 50 % solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*20*x+0.01*70*60-(0.01*50*(x+60))],(x))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "Five gallons of a light green latex paint that is 20 % yellow paint are combined with a darker green latex paint that is 40 % yellow paint . How many gallons of the darker green paint must be used to create a green paint that is 25 % yellow paint ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*20*(5)+0.01*40*x-(0.01*25*(5+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.66666666667" + ], + "split": "dev" + }, + { + "Input": "Sam does the job in 4 days that Lisa can do in 6 days that Tom can do in 2 days . How long would it take to do the job if they all worked together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 + 1 / 6 + 1 / 2 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.09090909091" + ], + "split": "dev" + }, + { + "Input": "a pipe can fill a pool in 8 hours another pipe fill in 12 hours . if both pipes are applied to fill pool than how many hours it will take ???", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/8+1/12)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "train" + }, + { + "Input": "Tyler 's age is three less than his brother 's age . The sum of their ages is 11 . How old is Tyler ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(11),y-((x-3))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "One number is 3/4 of another number . Their sum is 63 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(63),x -( ( 3 / 4 ) *y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "test" + }, + { + "Input": "How many liters each of a 15 % anrifreeze solution and a 30 % antifreeze solution must be mixed to make 6 liters of a 20 % antifreeze solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(6),15*x+30*y-(6*20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "Gina has a pile of 50 dimes and nickels worth $ 4.30 . How much of each type does she have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.10*y-(4.30),x+y-(50)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "dev" + }, + { + "Input": "There are 24 questions on a test . Each question is worth either 4 points or 5 points . The total is 100 points .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4*x+5*y-(100),x+y-(24)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "A liter of cream contains 9.5 percent butterfat . How much skim milk containing 5.5 percent butterfat must be added to the mixture to obtain one liter of mixture with 6.5 percent butterfat ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5.5*x+9.5*(1)-(6.5*(x+1))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "How many mililiters of a 10 % HCl solution and a 30 % HCl solution should be mixed to make 200 mililiters of a 15 % HCl solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*30*x+0.01*10*y-(0.01*200*15),x+y-(200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([1.44*x+1.80*(20)-(1.56*(x+20))],(x))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "Tickets to the school 's dinner theatre cost $ 6 for children and $ 9 for adults . 225 tickets were sold for a total of $ 1875 how many children attended ? how many adults attended", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(225),(x)*(6)+(y)*(9)-(1875)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "Two cars leave Denver at the same time and travel in opposite directions . One car travels 10 mi/h faster than the other car . The cars are 500 mi apart in 5 h. How fast is each car traveling ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5 *( x + y ) -( 500),x-(y+10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "Please help me with this problem . I do not know how to set it up . How can $ 5,400 be invested , part of it at 8 % and the rest of it invested at 10 % , so that the two investments will produce the same amount of interest ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x -( ( 0.01 * 10 ) *y),x+y-(5400)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "dev" + }, + { + "Input": "Edwin is 6 years older than his brother Alvin . In two years , Edwin will be 20 more than one-third of Alvin 's age . How old are the brothers now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+6),(x+2)*(0.33333333)-(x-20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30.99999999" + ], + "split": "train" + }, + { + "Input": "The problem is one number is 2 more then 5 times another number their sum is 24 . what are the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 5*y + 2),x+y-(24)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20.3333333333" + ], + "split": "train" + }, + { + "Input": "A woman is 42 years of age and her daughter is 8 years old . in how many years will the mother be three times as old as her daughter ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([42+x-(3*(8+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "Three times one number added to five times another number is 54 . The second number is two less than the first . Use a system of equations to find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 5*y -( 54),x-2-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "Two trains leave stations 476 miles apart at the same time and travel toward each other . One train travels at 80 miles per hour while the other travels at 90 miles per hour . How long will it take for the two trains to meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([476 -( ( 80 + 90 ) *x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.8" + ], + "split": "test" + }, + { + "Input": "Steve has 5 poker chips and 7 blue poker chips . Tom has 9 red poker chips and 3 blue poker chips . If steve 's chips are worth a total of $ 69 and tom 's are worth a total of $ 57 , determine the value of a blue chip ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x+7*y-(69),9*x+3*y-(57)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "The Smith family drove to the state park at 60 miles per hour and returned on the same route at 50 miles per hour . Find the distance to the state park if the total driving time was 8.8 hours .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 60 + 1 / 50 ) *x -( 8.8)],(x))\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 80 their difference is 12 . what are the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(80),x-y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "dev" + }, + { + "Input": "A chemist wishes to make 2 L of an 8 % acid solution by mixing a 10 % acid solution and a 5 % acid solution . How many litters of each solution should the chemist use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*10)*x+(0.01*5)*y-((0.01*8*2)),y-((2-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers equals eighteen . The total of three times the smaller and two times the larger is 44 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(18),2*x+3*y-(44)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the larger of two numbers is 7 more than 5 times the other . their sum is 55 . find the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(55),y-(5*x+7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "john 's age is four less than six times his brother 's age and the sum of their ages is equal to ten . how do you solve this word problem ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),x -( 6*y - 4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "A can contains two different kinds of nuts , weighs 5 pounds , and costs $ 16 . One type of nut costs $ 3.50 a pound . The other type costs $ 2.75 a pound . How many pounds of $ 2.75 nuts are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3.5*x + 2.75*y -( 16),x+y-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "A train traveling 60 miles per hour leaves for a certain town . Two hours later , a car traveling at 70 miles per hour leaves for the same town and arrives at the same time as the train . If both the train and the car traveled in a straight line , how far is the town from where they started ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 60 ) *x - 2 -( ( 1 / 70 ) *x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "840" + ], + "split": "test" + }, + { + "Input": "Joe can run twice as fast as Pete . They start at the same point and run in opposite direction for 40 minutes . The distance between them is now 16km . How fast does Joe run ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([40 *( x + y ) -( 16),x -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.266666666667" + ], + "split": "train" + }, + { + "Input": "five friends drove at an average rate of 50 miles per hour to a weekend retreat . On the way home , they took the same route but averaged 75 miles per hour . What was the distance between home and the retreat if the round trip took 10 hours ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 50 + 1 / 75 ) *x -( 10)],(x))\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the difference of twice a number and five is 89 . find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([2*x - 5 -( 89)],(x))\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "dev" + }, + { + "Input": "One water pump can drain a lake in 9 hours . A newer model can drain the same lake in 6 hours . How long does it take for both water pumps together to drain the lake ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([1 -( x *( 1 / 9 + 1 / 6 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "Amanda 's Coffee Shop makes a blend that is a mixture of two types of coffee . Type A coffee costs Amanda $ 4.60 per pound , and type B coffee costs $ 5.95 per pound . This month 's blend used twice as many pounds of type B coffee as type A , for a total cost of $ 511.50 . How many pounds of type A coffee were used ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4.60*x+5.95*y-(511.5),x-(2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "67.5247524752" + ], + "split": "train" + }, + { + "Input": "One number is 3 more than twice another number . find the larger number if their sum is -15", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-15),y-2*x-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-9" + ], + "split": "train" + }, + { + "Input": "Nicole jogged for a distance and then turned around and walked back to her starting point . While jogging she averaged 7.2 miles per hour , and while walking she averaged 2.4 miles per hour . If the total time spent jogging and walking was 4 hours , find how long she jogged .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([7.2*x -( 2.4*y),x+y-(4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "Jim 's weekly pay is 0.6666 of Alicias 's . Together they earn 600 dollars per week . What is each person 's weekly pay ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(0.6666*y),y+y-(600)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "360.014400576" + ], + "split": "test" + }, + { + "Input": "the sum of two numbers is -11 . twice the first number minus the second is 32 . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-11),2*x-y-(32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-18" + ], + "split": "test" + }, + { + "Input": "An airplane takes five hours to travel a distance of 3600 km against the wind . The return trip takes four hours with the wind . What is the rate of the plane in still air , and what is the rate of the wind ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3600-(4*(x+y)),3600-(5*(x-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "810" + ], + "split": "dev" + }, + { + "Input": "In a recent election Corrine Brown received 13,356 more votes than Bill Randll . If the total number of votes was 119,626 , find the number of votes for each candidate .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(119626),y-(x+13356)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "53135" + ], + "split": "test" + }, + { + "Input": "The sum of the digits of a two-digit number is 9 . If the digits are reversed , the new number is 27 less than the original . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(9),10*x + y -( 10*y + x + 27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "It takes you 30 minutes to rake the yard and it takes your brother 45 minutes , how long would it take for you both to rake the yard together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 30 + 1 / 45 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Anna has 12 bills in her wallet , some 5 $ and some $ 10 . The total value of the bills is $ 100 . How many of each bill does Anna have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x + 10*y -( 100),x+y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Peter delievers 110 newspapers on the weekend . He delivers 20 more papers on Sunday than on Saturday . How many papers does he deliver each day ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+20),y+y-(110)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "Desiree is twice as old as her cousin now . In 30 years time , Desiree age will be 14 years more than 0.6666666 of her cousin 's age . How old is Desiree now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 30 -( 0.6666666 *( y + 30 ) + 14),y -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.99999835" + ], + "split": "train" + }, + { + "Input": "sam drove 500 km from city A to City B in 5.5 hours . he drove part of the way at 100 km/h and the rest of the way at 80 km/h . how far did he drive at each speed ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 1 / 100 ) *x + ( 1 / 80 ) *y -( 5.5),x+y-(500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 27 . They have a difference of 3 . Set up a system of equations and use it to find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(27),x-y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "One integer is 2 more than 5 times another . If the difference of the two integers is 26 , what is the smaller integer ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(2+5*y),x-y-(26)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "The music teacher is three times as old as Walt . In 12 years , she will be twice as old as Walt . How old is Walt ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 12 -( 2 *( y + 12 )),y -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "an investor deposits $ 100,000 into two accounts . Twice the larger deposit is $ 25,000 less than three times the smaller deposit . Find the amount deposited in each account .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x-(25000+3*y),x+y-(100000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "65000" + ], + "split": "train" + }, + { + "Input": "A large bucket holds 3 liters more than twice as much as a small bucket . It took 2 small bucket and 5 large buckets to fill a 63 liter tank . How much does a large bucket hold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x+5*y-(63),y-(2*x+3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "one number is 12 more than another . the sum of the smaller number and twice the larger number is 39 . find the larger number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 2*y -( 39),y-(x+12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "if 5 is added to a number and the sum is tripled , the result is 21 more than the number . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*(x+5)-(x+21)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "A father 's age is four times that of his son . After 5 years , it will be three times that of his son . How many more years will take if father 's age is to be twice that of his son ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(4*y),x+5-(3*(y+5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "An investor invested a total of 1,900.00 in two mutual funds . One fund earned a 9 % profit while the other earned a 2 % profit . If the investor 's total profit was 52.00 , how much was invested in each mutual fund ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*9*x+0.01*2*y-(52.00),x+y-(1900.00)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1700" + ], + "split": "dev" + }, + { + "Input": "seven years ago , mary was 6 times as old as cora . in one year , she will be only twice as old as cora . find their present ages", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 7 -( 6 *( y - 7 )),x + 1 -( 2 *( y + 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "Two trains start toward each other on parallel tracks at the same time from towns 450 miles apart . One train travels 6 mph faster than the other train . What is the rate of each train if they meet in 5 hours ? thanks for the help !", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([450-(5*(x+y)),x-(y+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 10 . one number is 4 more than twice the other number . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),x -( 4 + 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "Nina received an inheritance of $ 12,000 from her grandmother . She invested part of it at 6 % interest and the remainder at 8 % . If the total yearly interest from both investments was $ 860 , how much did she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(12000),( 0.01 * 6 ) *x + ( 0.01 * 8 ) *y -( 860)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5000" + ], + "split": "train" + }, + { + "Input": "julio is 36 years old , and james is 11 years old . IN how many years woill Julios age be twice james age ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([36 + x -( 2 *( 11 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "jim is 5 years older than cindy . 4 years ago , the sum of their ages was 21 . find each of their ages now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-4+y-4-(21),y-(x+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "a chemist has 300 grams of 20 % hydrochloric acid solution . he wishes to drain some off and replace with an 80 % solution so as to obtain a 25 % solution . How many grams must he drain and replace with the 80 % solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*20*y+0.01*80*y-(0.01*25*(300)),y-((300-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "An old conveyor belt can move one day 's coal output in 21 hrs . A new belt can move one day 's output in 15 hrs . How long would it take them together to move one day 's coal output ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 21 ) *x + ( 1 / 15 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "8.75" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 48 . Three times the smaller number is the same as 32 more than the larger . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(48),3*x -( 32 + y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "Sum of two numbers is 125 . 5 times one number minus 3 times the other is 41 . Determine the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-((125-y)),5*y - 3*y -( 41)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "test" + }, + { + "Input": "Cody is twice as old as Evan and nine years ago the sum of their age was 6 . Find the age of each boy now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(x-9)+(y-9)-(6),y -( 2*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "A passenger train leaves a train depot 2 hours after a freight train leaves the same depot . The freight train is traveling 20 mph slower than the passenger train . Find the rate of each train if the passenger train overtakes the freight train in 3 hours .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(3+2)*x-(3*y),y-((x+20))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "Red Beads cost $ 1.30 per box , they are mixed with yellow beads that cost $ 2.00 a box . How many boxes of each color must be used to make 10 boxes of beads costing $ 1.72 per box ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),1.3*x + 2*y -( 10 * 1.72)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "Maria is now 3 years younger that her sister Ann . Four years ago , Maria 's age was one-half Ann 's age . How old is each girl now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-3),x-4-(0.5*(y-4))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "Karen left her house heading east , and her sister left two hours later heading west at a rate 5 mph faster than Karen . Six hours after Karen left , she and her sister were 600 miles apart . How fast was Karen moving ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(6-2)*y+6*y-(600),y-(y+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "58" + ], + "split": "test" + }, + { + "Input": "A man is twice as old as his son . If 9 years ago the sum of their ages was 66 years , find their present ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y),y-9+y-9-(66)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "A car travels a total distance of 317 miles . On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph . The total time taken for the car is 5.75 hours . How long does each of the speeds take ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(317),(1/58)*x+(1/52)*y-(5.75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "174" + ], + "split": "train" + }, + { + "Input": "My mothers age is three times my age . The sum of our ages is 40 . How old am I ? How old is my mother ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(40),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "You are buying coffee beans for your new business , `` The Algebra Caf '' . You discover that low grade beans sell for $ 0.80 a pound , and high grade beans sell for $ 1.45 a pound . To meet the demands of the upcoming month , you need to buy a total of 5000 pounds of beans . You must spend the remainder of your bean money $ 6,500 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([1.45*x+0.8*y-(6500),x+y-(5000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3846.15384615" + ], + "split": "train" + }, + { + "Input": "A women 's age is three years more than twice her sons age . The sum of their ages is 84 . How old is the son ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(84),y -( ( 2*y + 3 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "dev" + }, + { + "Input": "One number is 8 less than another number . Find the numbers if three times the smaller number is six less than two times the larger number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(8),3*y -( 2*x - 6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "Find the value of two numbers if their sum is 54 and the difference is 4 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(54),x-y-(4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "train" + }, + { + "Input": "To attend the state fair one group of 10 adults and eight children paid $ 136 for their tickets another group of 17 adults and two children paid $ 150 for the tickets what is the price for each child ticket ??", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+8*y-(136),17*x+2*y-(150)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "THE DIFFERENCE OF TWO NUMBERS IS 88 . THE SECOND NUMBER IS 20 % OF THE FIRST NUMBER . WHAT ARE THE NUMBERS ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(88),y-(0.01*20*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "110" + ], + "split": "dev" + }, + { + "Input": "Find the selling price per ounce of mixture of 200 oz . of cologne that costs $ 5.50 per ounce and 500 oz . of a cologne that costs $ 2.00 per ounce .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5.50 * ( 200 ) + 2.00 * ( 500 ) -( ( 200 + 500 ) *x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 33 . Their differeence is 7 . What are the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(33),x-y-(7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "from pipe a it takes 4 hours to fill the tank . from pipe b it takes 8 hours empty the tank . if the both pipes are opened how many hours to fill the tank ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 - 1 / 8 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "A father is 4 times older as old as his daughter . In 20 years he will be only twice as old as his daughter . How old are the father and daughter now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 20 -( 2 *( y + 20 )),y -( 4*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "Tyler is one year older than 3 times Clay 's age . The sum of their ages is 21 . How old is Tyler ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(21),y-((3*x+1))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "erin drove home at an average speed of 45 mph . she returned home in the evening along the same route and average 30 mph . if erin spent a total of 1 hour commuting to and from work , how many miles did erin drive to work in the morning ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 45 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "Jill is 11 kilometers away from Joe . Both begin to walk toward each other at the same time . Jill walks 2.5 km/h . They meet in 2 hours . How fast is Joe walking ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([11 -( 2 *( 2.5 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "One number is 8 less than another . If 5 times the smaller number minus 2 times the larger number is 14 , find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x - 2*y -( 14),y-x-(8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "A coffee merchant has coffee beans that sell for $ 9 per pound and $ 12 per pound . The two types are to be mixed to create 100 lb of a mixture that will sell for $ 11.25 per pound . How much of each type of bean should be used in the mixture ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([12*x+9*y-(11.25*(100)),y-((100-x))],(x,y))\nprint(answer)", + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([9*x + 12*y -( 11.25 * 100),x+y-(100)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75", + "25" + ], + "split": "train" + }, + { + "Input": "The sum of the digits of a two-digit numeral is 8 . If the digits are reversed , the new number is 18 greater than the original number . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(8),10*x + y - 18 -( 10*y + x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "the sum of two integers is 5 . their difference is 13 . find the two integers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(5),x-y-(13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-4" + ], + "split": "train" + }, + { + "Input": "The sum of Two numbers is 39 . Twice the first number and plus 3 times the second number is 101 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(39),2*x+3*y-(101)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "two cyclists start at the same time from opposite ends of a course that is 45 miles long . one cyclist is riding at 14 mph and the second cyclist is riding at 16 mph . how long after they begin will they meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([14*x + 16*x -( 45)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 39 and the difference is 15 what is the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(39),x-y-(15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "Three years ago , Mark 's age was 1 year more than thrice Aaron 's . Four years from now , Mark 's age will be 2 years more than twice Aaron 's . How old is Mark ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-3 -( 3*(y-3) + 1),x+4-(2* (y+4) +2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 48 . I the smaller number is subtracted from the large , the difference is 12 . Find the number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(48),x-y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "I have 21 coins in my wallet , all nickels and quarters . The total value of the coins is $ 3.65 , how many quarters and nickels do I have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(21),0.05*x + 0.25*y -( 3.65)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "The denominator of a fraction exceeds the numerator by 7 . If the numerator is increased by three and the denominator increased by 5 , the resulting fraction is equal to half . Find the original fraction .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+7),(x+3)-((y+5)*0.5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-8" + ], + "split": "dev" + }, + { + "Input": "The sum of three times a number and four times another number is negative 25 . Twice the first number subtracted by three times the second number is six . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+4*y-(-1*25),2*x-3*y-(6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-3" + ], + "split": "train" + }, + { + "Input": "The number 150 was written as the sum of two numbers . The first number was divided by 27 . This quotient was added to the second number divided by 23 , and the total was 6 . What were the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(150),6 -( ( 1 / 27 ) *x + ( 1 / 23 ) *y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "69" + ], + "split": "test" + }, + { + "Input": "the difference between two numbers is 22 . If the larger number is 4 more than twice the smaller . Find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(22),x -( 4 + 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 33 . Their difference is 9 . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(33),x-y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "Liza is four times as old as Nene . Six years ago , she was 7 times as old as Nene . Find their present age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4*x -( y),7 *( x - 6 ) -( y - 6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "A pool can be filled by one particular pipe in 10 h , whereas a different pipe requires 6 h to fill the pool . How long would it take to fill the pool with both pipes turned on ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 10 + 1 / 6 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "Advanced-purchase tickets to an art exhibition cost $ 8 , while tickets purchased at the door cost $ 14 . If a total of 140 tickets were sold and $ 1720 was collected , how many advanced-purchase tickets were sold ? Select the correct answer .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([8*x+14*y-(1720),x+y-(140)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "five yrs ago lucy was three times as old as lovely . 10 yrs later , lucy would be twice as old as lovely how old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 5 -( 3 *( y - 5 )),x + 10 -( 2 *( y + 10 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "A change machine at an arcade gives change for $ 1 bills and $ 5 bills . If during a particular day , 200 bills were inserted into the machine and the total value was $ 300 , how many $ 1 bills were inserted into the machine ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(200),1*x+5*y-(300)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "dev" + }, + { + "Input": "Two friends leave a hotel at the same time traveling in opposite direction . They travel for four hours and are then 480 miles apart . If Lily travels 10 miles per our faster than Noe , find the average rate of speed for each person .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+10),4*(x+y)-(480)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "test" + }, + { + "Input": "Mrs. Cruz is 40 years old and her eldest daughter is 12 . When will she be twice as old as her eldest daughter ? Please help me . thanks !", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([40+x-(2*(12+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "Tom Johnson is 1 year less than twice as old as his sister . If the sum of their ages is 14 years , then Tom 's age is ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(14),x -( 2*y - 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "A classroom contains equal number of boys and girls . 6 girls left to play football . The number of boys in the room is 4 less than twice the remaining number of girls . What was the original number of students present ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2 *( y - 6 ) - 4),x-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 198 . if one number is 20 % more than the other number , what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(198),x -( 1 + ( 0.01 * 20 ) *y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "33.8333333333" + ], + "split": "test" + }, + { + "Input": "How much 25 % solution must be added to 42 cc of pure water to make at most 20 % salt solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*25*x-(0.01*20*(x+42))],(x))\nprint(answer)" + ], + "Output Answer": [ + "168" + ], + "split": "train" + }, + { + "Input": "mr smith traveled for 7 hours and covered 500 kilometers on the trip . During the first part of the trip he averaged 80 kilometers per hour during the second part he averaged 60 kilometers per hour , how many hours did he spend on each part of the trip .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([60*x + 80*y -( 500),y-((7-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Jesse collects stamps . He now has 444 stamps . He has three times as many stamps form European countries as he does from Asian countries . How many of his stamps are from European countries ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(444),x -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "333" + ], + "split": "dev" + }, + { + "Input": "A year ago , John was three times as old as Larry . A year later , he was twice as old as Larry . How old are John and Larry ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-1 -( 3*(y-1)),y + 1 -( 2 *( y + 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "Two private planes leave a common airport at the same time and travel in opposite direction . If one travels at 75 kph -LRB- kilometer per hour -RRB- and the other at 90 kph , how long will it take them to be 800 km apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([75*x + 90*x -( 800)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.84848484848" + ], + "split": "train" + }, + { + "Input": "There are 32 coins in total . They are all dimes and quarters and add to 4.70 . How many dimes and quarters are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(32),0.10*x + 0.25*y -( 4.70)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "Twice one number minus three times a second is equal to 2 and the sum of these numbers is 11 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x - 3*y -( 2),x+y-(11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "One antifreeze solution is 10 % alcohol . Another antifreeze solution is 18 % alcohol . How many liters of each antifreeze solution should be combined to create 20 liters of antifreeze solution that is 15 % alcohol ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*10*x+0.01*18*y-(0.01*15*20),x+y-(20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "dev" + }, + { + "Input": "What is the sum of two numbers is 76 . If larger is two less than 5 times the smaller .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(76),y -( 5*x - 2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "The larger of two numbers is 2 more than the lesser . The sum of 25 times the greater number and 50 times the lesser number is 500 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([25*y + 50*y -( 500),y-((y+2))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 45 . 4 times the first number is 9 less than 5 times the second . what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(45-y),4*y -( 5*y - 9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "the ratio of buses to bicycles is 3 to 2 respectively . if the total number of vehicles is 15 , how many are buses ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),2*y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "One half of a number is 3 more than the same number . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.5*x -( x + 3)],(x))\nprint(answer)" + ], + "Output Answer": [ + "-6" + ], + "split": "test" + }, + { + "Input": "Jack 's stride is 64 cm long and Jill 's is 56 cm long . If they start together , how far have they walked when they are next in step ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([64*x -( 56*x + 56)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "A two digit counting number has a value of 8 times the sum of its digits . If 6 times the units digit is 5 more than the tens digits , what is the number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+x-(8*(x+x)),6*x-5-(x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "A machine can fill 24 boxes in 60 minutes . At this rate , how many boxes can it fill in five minutes ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([24*5-(60*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "If I have a 80 ml solution that is 20 % acid by volume , how many mL should I remove and replace with pure 100 % acid to obtain a final solution of 80 ml that is 40 % acid by volume ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*20*y+y*0.01*100-(80*0.01*40),y+y-(80)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "If $ 10,000 and $ 4,000 are invested such that $ 1250 is earned in one year and if the rate of interest on the larger investment is 2 % more than that of the smaller investment , find the rates of interest", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10000*x+4000*y-(1250),y-(x-(.01*2))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.095" + ], + "split": "dev" + }, + { + "Input": "A Laboratory has 60 mL of a solution that is 40 % HCl acid . How many mL of 15 % HCL acid solution should be mixed with the 60 mL of 40 % acid to obtain a solution of 25 % HCl ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 0.01 * 40 * 60 ) + ( 0.01 * 15 ) *x -( ( 0.01 * 25 ) * ( x + 60 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "Six years ago , Josie was 5 times as old as her niece , Dianne . How old is Dianne now if her age is one-third that of her aunt 's .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.33333*x-(y),x-6-(5*(y-6))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36.0009000225" + ], + "split": "train" + }, + { + "Input": "A community center sells ticket to a baseball game . Adult tickets are $ 5 each and children get in for $ 2 . If the center sells 85 tickets and collects $ 275 , how many adult tickets were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(85),5*x+2*y-(275)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "A mixture of 30 pounds of candy sells for $ 1.10 a pound . The mixture consists of chocolates worth $ 1.50 a pound and chocolates worth 90 cent a pound . How many pounds of the $ 1.50 chocolate were used to make the mixture ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([1.5*x + 0.01 * 90 * y -( 30 * 1.1),x+y-(30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "Two investments earn an annual income of $ 575 . One investment earns an annual simple interest rate of 8.5 % , and the other investment earns an annual simple interest rate of 6.4 % . The total amount invested is $ 8,000 . How much is invested in each account ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(8000),( 0.01 * 8.5 ) *x + ( 0.01 * 6.4 ) *y -( 575)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "train" + }, + { + "Input": "Jose is 12 years older than Maria . The sum of their ages is 40 . How old is Maria ? How old is Jose ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(40),y-(x+12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "the sum of the digits of a two-digit number is 17 . When the digits are reversed , the new number is 9 more than the original number . What is the original number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(17),10*y+x-(10*x+y+9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "Tom is 15 years younger than alice . Ten years ago , Alice was 4 times as old as Tom was then . How old is each now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y-15),4 *( y - 10 ) -( ( y - 10 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "Bill is 1 year less than twice as old as his sister Caroline . The total of their ages is 26 . How old is Bill now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y - 1),x+y-(26)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "A certain number is 3 more than another number . If their sum is 21 , find their numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(21),y-(y+3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "Jon can mow the lawn in 6 hours . Kim can mow the lawn in 5 hours . How long will it take them to mow the lawn if the work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 6 + 1 / 5 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.72727272727" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 23 and their difference is 5 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(23),x-y-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "One integer is 2 more than another integer . The sum of the two integers is 48 . Find the smaller integer .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(48),x-y-(2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "dev" + }, + { + "Input": "Grant is five times as old as Francis . One-third of the sum of their ages is equal to 32 . Find their ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(5*y),0.333333*(y+y)-(32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16.000016" + ], + "split": "train" + }, + { + "Input": "An inlet pipe can fill a water tank in 10 hours , while an outlet pie can empty the same tank in 15 hours . By mistake , both pipes are left open . How long will it take to fill the water tank with both pipes open .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/10-1/15)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two cars leave town at the same time going in the same direction . One travles at 50 mph and the other travels at 70 mph . In how many hours will they be 60 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([70*x - 50*x -( 60)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a baseball team has home games on wednesday and sunday . The two games together earned $ 4994.50 . Wednesdays game generated $ 1330.50 less than Sunday game . How much was taken at each game ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(4994.5),x-y-(1330.5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1832" + ], + "split": "dev" + }, + { + "Input": "The sum of 4 times the first number and three times the second number is 15 . The difference of three times the first number and twice the second number is 7 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x-2*y-(7),4*x+3*y-(15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "Rose is one-third as old as her mother . The sum of their ages is 100 . How old are each of them ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(100),y-(x*0.33333)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75.0001875005" + ], + "split": "train" + }, + { + "Input": "Samuel has found that his new car gets 37 miles per gallon on the highway and 30 miles per gallon in the city . He recently drove 365 miles on 11 gallons of gasoline . How many miles did he drive on the highway ? How many miles did he drive in the city ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(11),37*x + 30*y -( 365)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "How many liters of a 30 % alcohol solution do you need to mix with 50 liters of a 60 % solution to obtain a 35 % solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(50*0.01*60)+(0.01*30)*x-((0.01*35)*(50+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "test" + }, + { + "Input": "what is the height of a triangle whose area is 4 square meters and whose base is 2.5 meters", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4-((1/2)*2.5*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.2" + ], + "split": "test" + }, + { + "Input": "adam is 5 year younger than eve . in one year eve will be three times the age of adam was four years ago . how old is adam ? how old is eve ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-5),y+1-(3*(x-4))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "The difference of two numbers is 67 . The larger number is three less than six times the smaller number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(67),x-(6*y-3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "81" + ], + "split": "train" + }, + { + "Input": "A basket ball player scored 82 points . she made 33 more 2 pointers than 3 pointers and only one free throw . How many 2 poniters and how many 1 pointers did she make ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+2*y+1-(82),y-(33+x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "the sum of three times one number and seven times another is 62 . the difference between the numbers is 4 . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(4),7*y+3*x-(62)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Bob invested $ 22,000 , part at 18 % and part at 14 % . If the total interest at the end of the year is $ 3,360 , how much did he invest at 18 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(22000),0.01*18*x+0.01*14*y-(3360)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7000" + ], + "split": "test" + }, + { + "Input": "A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours . Find the rate of the stream .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+3*y-(48),6*x-6*y-(48)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "With a tail wind , a plane traveled 800 mi in 5 hrs . With a head wind , the plane traveled the same distance in 8 hrs . Find the plane 's air speed and the speed of the wind . Assume that both were constant", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([800-(5*(x+y)),800-(8*(x-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "test" + }, + { + "Input": "Lisa and Kay were asked by their mother to clean their room . Lisa can clean her room in 8 hours , and Kay in 12 hours . How long will it take if they both clean their room together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 8 + 1 / 12 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "train" + }, + { + "Input": "A metallurgist needs to make 12.4 lb . of an alloy containing 50 % gold . He is going to melt and combine one metal that is 60 % gold with another metal that is 40 % gold . How much of each should he use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*60*x+0.01*40*y-(0.01*50*(12.4)),y-((12.4-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6.2" + ], + "split": "train" + }, + { + "Input": "if one guy can paint a house in 5 hours , and another guy can do it in 3 , how long will it take them together if the 5 hour guy starts an hour earlier then the 3 hour guy ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/5)*(x+1)+(1/3)*x-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "test" + }, + { + "Input": "The present ages of Lewis and Brown are in the ratio 1 to 2 . Three years from now , the ages will be in the ratio 3 to 5 . Find the present ages of Lewis and Brown .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x - 1*y -( 0),5 *( x + 3 ) -( 3 *( y + 3 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "Last year Maria invested $ 10,000 , part at 6 % annual interest and the rest at 8 % annual interest . if she received $ 760 in interest at the end of the year , how much dis she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x+8*y-(760),x+y-(10000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "39620" + ], + "split": "train" + }, + { + "Input": "if sammy can mow a lawn in 3 hours and laura can mow the same lawn in 4 hours , how long will it take them if they work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 + 1 / 4 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.71428571429" + ], + "split": "train" + }, + { + "Input": "One plane took off from the San Fransisco , traveling east . At the same time another plane took off from the same airport , traveling west . The plane traveling east was going 120 miles per hour faster than the plane traveling west . After three hours , the planes were 2,400 miles apart . How fast was each plane going ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 3*y -( 2400),y-((x-120))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "460" + ], + "split": "test" + }, + { + "Input": "Eva is 2 years older than Julienne . The sum of their ages is 20 . Find their present ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(20),x-2-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "Sherman 's age and his grandpa 's age together equal 72 . His grandpa 's age is 7 times greater than his age . How old are they .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(72),y -( 7*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "Joe is 10 years older than James . In 8 years , twice Joe 's age will equal three times James 's age . How old is each now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+10),2 *( x + 8 ) -( 3 *( y + 8 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "dev" + }, + { + "Input": "Alex 's father is five more than twice as old as he is now . Six years ago , he was one-third as old . How old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 5 + 2*y),0.33333*(y-6)-(y-6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16.9996700066" + ], + "split": "train" + }, + { + "Input": "Samson is 6 years old . His mother is 30 years old . How old will Samson be when his mother is exactly 4 times as old as he is ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*(6+x)-(30+x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "Tickets for the homecoming dance cost $ 20 for a single ticket or $ 35 for a couple . Ticket sales totaled $ 2280 , and 128 people attended . How many tickets of each type were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 2*y -( 128),20*x + 35*y -( 2280)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "A tank can be filled in 2 hours . The same tank can be emptied in 6 hours . If the faucet is on and the drain is left open , when will the tank overflow", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/2-1/6)*x-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "A car leaves a station , traveling west at 55 mph . A truck leaves the same station one hour later , traveling west on the same road at 65 mph . How long does it take for the truck to pass the car ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([55*x-(65*(x-1))],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.5" + ], + "split": "dev" + }, + { + "Input": "A postal clerk sold 75 stamps for $ 19.95 . Some were 20-cent and some were 33-cent . How many of each kind did he sell .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(75),( 0.01 * 20 ) *x + ( 0.01 * 33 ) *y -( 19.95)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36.9230769231" + ], + "split": "train" + }, + { + "Input": "jen is 6 years older than sue . in 4 years , she will be twice as old as sue was 5 years ago . Find their ages now", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(6+y),x+4-(2*(y-5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "A rope is 75 ft. long and is cut into 2 pieces where one is 11 ft. long than other . Find their lengths .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(75),y-((x+11))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "The average salary for computer programmers is 7740 less than twice the average salary for carpenters . Combined , their average salaries are 99,000 . Determine the average salary for each of these jobs .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(99000),y-(2*x-7740)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35580" + ], + "split": "test" + }, + { + "Input": "An alloy containing 15 % brass is to be combined with an alloy containing 35 % brass to form an alloy containing 27 % brass . How much of each alloy should be combined to make 200 pounds of the 27 % brass alloy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*35*x+0.01*15*y-(0.01*27*(200)),y-((200-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "a woman is 6 years older than 3 times her daughter 's age . Their ages total 46 . What are their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(46),3*x + 6 -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "The admission fee at a small fair is $ 1.50 for children and $ 4.00 for adults . On a certain day , 2200 people enter the fair and $ 5050 is collected . How many children and how many adults attended ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(2200),1.5*x+4*y-(5050)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "One number is 16 more than another . If the smaller number is subtracted from 0.66666 of the larger , the result is 0.25 of the sum of the two numbers . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+16),( 0.66666 ) *x - y -( ( 0.25 ) * ( x + y ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23.9998080015" + ], + "split": "dev" + }, + { + "Input": "a pharmacist wishes to mix solution that is 3 % Minoxidil . She has on hand 70 ml of 2 % solution and wishes to add some 5 % solution to obtain the desired 3 % solution . How much 5 % solution should she add ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(70*0.01*2)+(0.01*5)*x-((0.01*3)*(x+70))],(x))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "dev" + }, + { + "Input": "Car 1 leaves Miami and travels at a speed of 47 mph . Car 2 leaves 2 hours later and travels at 58 mph . How long will it take for car 2 to catch up to car 1 .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([47*x -( 58 *( x - 2 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "10.5454545455" + ], + "split": "train" + }, + { + "Input": "Two buses leave the station at the same time . One travels east at 55 miles per hour . The second travels west at 60 miles per hour . In how many hours will the two buses be 460 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([55*x+60*x-(460)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Mr. Graham invested some of his $ 18,000 in bonds that made a 5 % profit and the rest in bonds that made a 12 % profit . If the profit on the 12 % bonds was $ 885 more than the profit on the 5 % bonds , how much did Mr. Graham invest in the 5 % bonds ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 12 ) *y - ( 0.01 * 5 ) *y -( 885),y-((18000-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7500" + ], + "split": "test" + }, + { + "Input": "Donna is going to rent a truck for one day . There are two companies she can choose from , and they have the following prices . Company A has no initial fee but charges $ 0.80 for every mile driven . Company B charges an initial fee of $ 50 and an additional $ 0.50 for every mile driven . For what milleage will Company A charge more than Company B ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([.8*x -( 50 + .5*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "166.666666667" + ], + "split": "test" + }, + { + "Input": "A boat can travel 45 mph in still water . If it travels 200 miles with the current in the same length of time it travels 160 against the current , what is the speed of the current ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([200*(45-x)-(160*(45+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "A tree grows 0.5 inch per year . The tree is currently 600 inch tall ; how long will it take to grow to 720 inch ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.5*x+600-(720)],(x))\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "Sandra is 36 years old . her son is 14 years old . how many years ago was Sandra 3 times older than her son ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([36-x-(3*(14-x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Noya drives to the city to buy software program at the computer store . Because of traffic she averaged only 15 miles per hour on the way there but averaged 35 miles per hour on the way home . If the total travel time was 2 hours how long does it take her to drive to the computer store .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([15*x -( 35*y),y-((2-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.4" + ], + "split": "train" + }, + { + "Input": "a steamer , going downstream in a river , covers the distance between 2 towns in 15 hours . Coming back upstream , it covers this distance in 20 hours . The speed of the water is 3 km/hr . Find the distance between two towns .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 15 *( y + 3 )),x -( 20 *( y - 3 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "One number is 3 less than a second number . Twice the second number is 5 less than 3 times the first . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x -( 3*y - 5),y-(x-3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a motorboat traveled a distance of 72 miles in 3 hours while traveling with the current . Against the current the same trip took 4.5 hours . find the rate of the motorboat in calm water and the rate of the current .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([72-(3*(x+y)),72-(4.5*(x-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "A plane travels with a tail wind 100 miles to the nearest town in 60 minutes . The plane then travels back 100 miles with a head wind . The travel time is 40 min more than the first trip . What is the speed of the wind , and the speed of the plane ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(60+40),x-y-(60)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "dev" + }, + { + "Input": "A boat traveled for 2 hr with a 12 mph current to reach a picnic area . the return trip against the same current took 6 hr . Find the speed of the boat in still water", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([2*(x+12)-(6*(x-12))],(x))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "The sum of 4 times joan 's age and 3 times jim 's age is 47 . Jim is 1 year less than twice as old as joan . Find each of their ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4*x + 3*y -( 47),y -( ( 2*x - 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Joan is five years older than Rob . Ten years ago the sum of their age was 25 , how old are they now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-10+y-10-(25),y-((y+5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "5 years ago , Jay was seven years older than Mary . In five years , Jay will be twice as old as Mary . How old is Mary now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-5-(y-5+7),x + 5 -( 2 *( y + 5 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "The ratio of boys to girls in a class are 3 to 7 . If there are a total of 30 students in the class , how many boys are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(30),3*y -( 7*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "5 years ago Mary was 5 times as old as her Son . 3 years hence her age will be 8 less than three times the corresponding age of her Son .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y - 5 -( 5 *( y - 5 )),y + 3 -( 3 *( y + 3 ) - 8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "the sum of 2 numbers is 188 . the larger number is 24 more than 3 times the smaller . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(188-y),y -( 3*y + 24)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "41" + ], + "split": "train" + }, + { + "Input": "Emma Knutt has $ 10,000 to invest . She would like to earn $ 980 per year in interest . How much should she invest at 9 % if the rest is to be invested at 11 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 9 ) *x + ( 0.01 * 11 ) *y -( 980),y-((10000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "Sue and David are siblings . Their combined age is 22 . Sue is four years old than David . How old are Sue and David ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([22-(x+y),y-(x+4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "One number is 4 more than twice the second number . Their total is 25 . What are the 2 numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(4+2*y),x+y-(25)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "one number is 5 more than another number . Four times the larger number plus 3 times the smaller is 97 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5+y-(y),4*y + 3*y -( 97)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "A father is 3 times as old as his son , after 15 years , the father will be twice as old as his son at that time , therefore , the fathers current age is ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 15 -( 2 *( y + 15 )),y -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Soybean meal is 14 % protien . Cornmeal is 7 % protien . How many pound of each should be mixed together in order to get a 280 lb mixture that is 13 % protien ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 14 ) *x + ( 0.01 * 7 ) *y -( ( 0.01 * 13 * 280 )),y-((280-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "dev" + }, + { + "Input": "Mr.Klinker is 35 and his daughter is 10 . In how many years will Mr. Klinker be twice as old as his daughter ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 35 + x ) -( 2 *( 10 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "How many liter of pure hydrochloric acid must be added to 60 liters of solution that is 10 % hydrochloric acid to get a solution that is 15 % hydrochloric acid ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*10*60)+x-((0.01*15)*(x+60))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3.52941176471" + ], + "split": "train" + }, + { + "Input": "Daniel is 69 years old and Ishaan is 6 years old . How many years will it take until Daniel is only 4 times as old as Ishaan ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([69 + x -( 4 *( 6 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Jim and Bob are painters . Jim can paint a wall in 6 hours and Bob can do the same size wall in 4 hours . How long will it take to paint the wall if Jim and Bob work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 6 + 1 / 4 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "A ship went up a stream of 36 km in 3 hours , and went down the same distance in 2 hours . What is the km per hour for this ship if there is no speed in this stream ? What is this stream 's km per hour ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*(x-y)-(2*(x+y)),3*(x-y)-(36)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "Tom and Tim ages add up to 21 years . In 3 years Tom will be twice tim 's age . How old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 3 -( 2 *( y + 3 )),y-((21-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "X represents a certain number , when the number is multiplied by 3 the result is as adding 34 to the number . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x-(x+34)],(x))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "Phil is 24 years older than Will . Four years ago he was seven times as old as Will was then . Find their ages now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+24),( x - 4 ) -( 7 *( y - 4 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "Scott invests $ 1260 more at 8 % than he invests at 12 % . The interest from the two investments is the same . How much did he invest at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*12*x-(0.01*8*y),y-((1260+x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2520" + ], + "split": "train" + }, + { + "Input": "for her workout , Sarah walks north at the rate of 3 mph and returns at the rate of 4 mph . how many miles did she walk if the round trip took 3.5 hours ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 ) *x + ( 1 / 4 ) *x -( 3.5)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "Alice is 10 years less than twice as old as Bonnie . If the sum of the ages is 26 . Find the ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(26),y -( 2*y - 10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "The digits of a certain two-digit number add up to 6 . Form a second number by reversing these digits . When the second number is subtracted from the first , the result is three times the sum of the digits . Find the first number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(6),10*y + x - 10*x - y -( 3 *( x + y ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 55 . The greater number is seventeen times the smaller number plus one . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(55),x -( 17*y + 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "dev" + }, + { + "Input": "The sum of john and his father 's ages is 77 . His father is 32 more than twice as old as john . How old are john and his father ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(77),y-(2*x+32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Paul 's Plumbing charges $ 55 to visit a job site plus $ 35 per hour for labor . Reliable Plumbing charges $ 75 to visit a job site plus $ 30 per hour for labor . For how many hours of labor would the total charge be the same for the two companies ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([55+35*x-(75+30*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 103 . The larger number is one more than five times the smaller number . Find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(103),y-(5*x+1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "The difference of two numbers is 6 if one number is three times the other number , find the smallest number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 3*y),y-y-(6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "michael is twice as old as maggie . nine years ago , michael was 5 times as old as maggie . how old is each now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y - 9 -( 5 *( y - 9 )),y -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "Three less than 4 times a number is 325 . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*x-3-(325)],(x))\nprint(answer)" + ], + "Output Answer": [ + "82" + ], + "split": "dev" + }, + { + "Input": "it takes shawn 18 hours to paint a house . karen can paint the house in 12 hours . how long will it take shawn and karen working together to paint the house ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 18 + 1 / 12 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "One number is 6 more than another number . If you add 9 to 6 times the first number , the result is 7 times he second number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x + 9 -( 7*y),y-(x+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-33" + ], + "split": "train" + }, + { + "Input": "In the year 2000 Donald was 12 and his father was 40 . In which year was Donald 's father 8 times as old as Donald ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([8 *( 12 - x ) -( ( 40 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "If you multiply an unknown number by 6 and then add 5 , the result is 7 less than the unknown number plus 1 multiplied by 3 . Find the unknown number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([6*x+5-(((x+1)*3)-7)],(x))\nprint(answer)" + ], + "Output Answer": [ + "-3" + ], + "split": "dev" + }, + { + "Input": "Cary is 9 years older than Dan . In 7 years their ages 93 . Find the ages of each man now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(x+7)+(y+7)-(93),y-(x+9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "A 20 % alcohol solution is mixed with a 35 % alcohol solution to obtain 60 fluid ounces of 25 % alcohol solution . How many fluid ounces of each are needed ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*35)*x+(0.01*20)*y-((0.01*25*60)),y-((60-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "Yoshi is 12 years older than his sister . Six years from now , the sum of their age will be 32 . Find Yoshi 's present age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+12),y+6+y+6-(32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "A child in an airport is able to cover 372 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk 's motion . Running at the same speed in the direction opposite to the sidewalk 's movement , the child is able to cover 165 meters in 3 minutes . What is the child 's running speed on a still sidewalk , and what is the speed of the moving sidewalk ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([372-(4*(x+y)),165-(3*(x-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "74" + ], + "split": "train" + }, + { + "Input": "George can do a certain job in 70 minutes while Abe can do the same job in 30 minutes . How long would it take the two workers to do the job if they work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 70 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "A larger number is 2 less than 5 times the smaller number . If the sum of these numbers is 94 , find the larger number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(94),y -( 5*y - 2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is 36 . one number is two more than the other find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),2*x -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "a plane flies 900 miles with a tail wind , in 3 hours . It takes the same plane 4 hours to fly the 900 miles when flying against the wind . What is the planes speed in still air ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3 *( x + y ) -( 900),4 *( x - y ) -( 900)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "262.5" + ], + "split": "test" + }, + { + "Input": "one number is greater than double another number by 15 . If their sum is 54 , find the smaller of the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y + 15),x+y-(54)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "41" + ], + "split": "train" + }, + { + "Input": "At a Baseball game , one group of people purchased 10 hotdogs and 5 soft drinks at 12.50 ; a second group of people bought 7 hotdogs and 4 soft drinks at 9 dollars . what is the cost of the hotdog and soft drink ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+5*y-(12.5),7*x+4*y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "Tickets for a basketball game cost $ 6.00 for adults and $ 3.00 for students . A total of 846 tickets that cost $ 3846.00 were sold . How many of each were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(846),6*x+3*y-(3846)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "410" + ], + "split": "train" + }, + { + "Input": "the difference between 2 numbers is 96 , one number is 9 times the other . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(96),x -( 9*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "one containing 40 % alcohol and another containing 70 % alcohol . How much of each should be used to obtain 80 liters of a 49 % solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(80),40*x+70*y-(80*49)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "Four times the lesser of two consecutive even integers is 12 less than twice the greater number . Find the integers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+2),4*y-(2*y-12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-4" + ], + "split": "train" + }, + { + "Input": "Barb buys a dress for 10 dollars less than half the price of the dress . She saves 80 dollars . What was the original cost of the dress ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 0.5 ) *x - 10 -( 80)],(x))\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "two baseball players hit 79 home runs combined last season . the first player hit 7 more home runs than twice the number of home runs hit by the second player . how many home runs did each player hit ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(2*y+7),y+y-(79)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "Adriana 's 18-kilometer boat trip downriver took two hours , but the return trip back upstream took three hours . Figure the speed of the boat in still water and the speed of the current of the river .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([18-(2*(x+y)),18-(3*(x-y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "test" + }, + { + "Input": "A man runs to a telephone and back in 15 minutes . His speed on the way to the telephone is 5 m/s and his speed on the way back is 4 m/s . Find the distance to the telephone .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/5)*x+(1/4)*x-(15)],(x))\nprint(answer)" + ], + "Output Answer": [ + "33.3333333333" + ], + "split": "train" + }, + { + "Input": "The first fellow could finish 7 jobs in 3 hours , and the second fellow could finish 8 jobs in 5 hours . How long would they have to work together to finish 59 jobs ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(7/3+8/5)*x-(59)],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "You are the manager of a theater . On saturday morning you are going over the ticket sales for Friday evening . A total 750 tickets were sold . the tickets for adults and children sold for $ 7.50 and $ 4.00 , respectively , and the receipts for the performance were $ 3808.50 . however , your assistant manager did not record how many of each type of tickets were sold . From the information you have , can you determine how many of each type were so", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(750),7.5*x+4*y-(3808.5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "519" + ], + "split": "train" + }, + { + "Input": "The sum of the digits of a two-digit number is 14 . If 36 is subtracted from the number , the resulting number is the original number with its digits interchanged . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(14),10*x+y-36-(10*y+x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "Mike can paint a room in 14 hours Bob could paint the same room in 10 hours . If they work together how long would it take them to complete job .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 14 + 1 / 10 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "5.83333333333" + ], + "split": "train" + }, + { + "Input": "A bookstore sold 85 calculators , generating $ 3,875 in sales . Two kinds of calculators were sold at $ 15 and $ 67 . How many of each were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([15*x+67*(y)-(3875),x+y-(85)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "An airplane travels 900 miles from Housten to Miami in 6 hours against the wind . On it 's return trip , with the wind , it takes only 5 hours . Find the rate of the airplane with no wind . Find the rate of the wind .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x+5*y-(900),6*x-6*y-(900)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "165" + ], + "split": "test" + }, + { + "Input": "A pharmacist has 40 % and 80 % of iodine solutions on hand . How many liters of each iodine solution will be required to produce 6 liters of a 50 % iodine mixture ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*40*x+0.01*80*y-(0.01*50*(6)),y-((6-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "Sally bought three choclate bars and a pack of gum and paid $ 1.75 . Jake bought two choclate bars and four packs of gum and paid $ 2.00 Find the cost of a choclate bar and the cost of the gum .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 1*y -( 1.75),2*x + 4*y -( 2.00)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "dev" + }, + { + "Input": "one number is eight more than twice another and their sum is 20 . what are their number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y + 8),x+y-(20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "a number exceeds another by 14 and their sum is 70", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(70),x-y-(14)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "A tank can hold eighteen litres of water . Tap A takes six minutes to fill the tank , Tap B takes three minutes to fill the tank . If the two taps are turned on at the same time , how long would they take to fill the tank ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 6 + 1 / 3 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "the sum of numbers is 42 but then 6 times the first number exceeds 3 times the second number by 90 . find the number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(42),6*x -( 3*y + 90)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "In 2 years Hanna will be twice as old as her little brother Lloyd . Hanna is 8 years old now . How old is Lloyd ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([8 + 2 -( 2 *( x + 2 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "Two numbers have a sum of 22 . Their difference is 4 . what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(22),x-y-(4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is 90 . three times the smaller is 10 more than the larger . find the larger number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(90),3*x-y-(10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "dev" + }, + { + "Input": "one number is 4 less than 3 times another . Their sum is 16 . Find the smaller", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 3*y - 4),y+y-(16)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Find how many quarts of 4 % butterfat milk and 1 % butterfat milk should be mixed to yield 90 quarts of 3 % butterfat milk .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*4)*x+(0.01*1)*y-((90*0.01*3)),x+y-(90)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "a number is twelve less than five times another number.their sum is one hundred sixty-two . what are the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(162),5*x-y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "133" + ], + "split": "train" + }, + { + "Input": "One number is 3 less than another . If 4 times the smaller number minus 3 times the larger number is 4 , find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-3),4*x - 3*y -( 4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "A pastry chef created a 50 ounce sugar solution that was 34 % sugar from a 20 % sugar solution and a 40 % sugar solution . How much of the 20 % sugar solution and how much of the 40 % sugar solution were used ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(.01*20)*x+(0.01*40)*y-((0.01*34*50)),y-((50-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "Two cyclists leave a city at the same time , one going east and the other going west . The west-bound cyclist bikes 4 mph faster than the east-bound cyclist . After 5 hours they are 200 miles apart . How fast is the east-bound cyclist going ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(4),5*y+5*x-(200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 6 less than twice the first number . Their difference is 10 less than four times the second number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + y -( 2*x - 6),x - y -( 4*y - 10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "The ratio of boys and girls in a school is 3 to 2 . When 6 more girls join , this ratio becomes 6 to 5 . Then the number of boys in the school is ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x -( 2*y),6 *( x + 6 ) -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "The larger of two numbers is 8 more than twice the smaller . The sum of the numbers is 10 less than three times the larger . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(2*y+8),x+y-(3*x-10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "Dorothy is 3 times as old as her sister . In 5 years she will be twice as old as her sister . How old are Dorothy and her sister now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 3*y),( x + 5 ) -( 2 *( y + 5 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "Thirty-three pints of acid solution contain 3 pints of pure acid . Find the number of pints of pure acid that must be added to the 33 pints so that the resulting solution is 25 % pure acid .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3+x-(0.01*25*(33+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the sum of elisa 's age and elma 's age is 20 . elisa 's age one year from now will ten times elma 's age one year ago . how old is each now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(20),x + 1 -( 10 *( y - 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17.1818181818" + ], + "split": "test" + }, + { + "Input": "Two planes left an airport at noon . One flew east at a certain speed and the other flew west at twice the speed . The planes were 2700 mi apart in 3 h. How fast was each plane flying ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 3*y -( 2700),y -( ( 2*x ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "In a family there are two cars . In a given week , the first car gets an average of 25 miles per gallon , and the second car gets 40 miles per gallon . The two cars combined drives a total of 1825 miles in that one week , for a total gas consumption of 55 gallons . How many gallons were consumed by each of the two cars that week ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(55),25*x+40*y-(1825)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "Ruth is twice as old as Pat . In 4 years Ruth will be three times as old as Pat was 3 years ago . How old is each now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 4 -( 3 *( y - 3 )),y -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "5 years ago , my brother was exactly twice the age i was then . And in eight year 's time , the combined age of two of us will be 50 . How old do u think i am ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y - 5 -( 2 *( y - 5 )),(y+8)+(y+8)-(50)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "when my father was 35 i was 6 . now he is twice as old as i am . how old am i ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 35 + x ) -( 2 *( 6 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "test" + }, + { + "Input": "One number is twice as large as a second number . If the sum of the two numbers is 114 , what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y),x+y-(114)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "76" + ], + "split": "dev" + }, + { + "Input": "A sum amounting to $ 3.35 consists of quarters and dimes . If there are 23 coins in all how many are quarters ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(23),(0.1)*(x)+(0.25)*(y)-(3.35)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "A train traveling 48 km/h takes 2 hours longer than the ship traveling 60 km/h to reach a given distance . What is the distance ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 48 - 1 / 60 ) *x -( 2)],(x))\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "dev" + }, + { + "Input": "The difference between two numbers is 3.2 . The sum of the numbers is 46.4 . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(46.4),x-y-(3.2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "21.6" + ], + "split": "train" + }, + { + "Input": "juans age is 5 years more than twice Margos age . The sum of their ages is 29 years . Find their ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(29),y -( ( 2*y + 5 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a motor boat has a four-hour supply of gasoline . How far fom the marina can it travel if the rate going out against the current is 20 mi/h and the rate coming back with the current is 30 mi/h", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 20 ) *x + ( 1 / 30 ) *x -( 4)],(x))\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "I collect $ 1 and $ 2 coins until I have 275 coins and I have a total of $ 402 . How many $ 2 coins do I have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(275),1*x+2*y-(402)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "148" + ], + "split": "train" + }, + { + "Input": "Tickets for a play at the community theater cost $ 12 for an adult and $ 4 for a child . If 130 tickets were sold and the total receipts were $ 840 , how many of each type of ticket were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(130),12*x+4*y-(840)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "The difference between the ages of 2 friends is 37 years . The sum of their ages is 55 . Find the age of the older friend .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-y-(37),y+y-(55)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "mary is 2 times as old as her sister jessie . if the sum of their ages is 18 how old are both sisters", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(18),x-2*y-(0)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is 52 . the sum of the smaller and 5 times the larger is 184 . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(52),x+5*y-(184)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "When the digits of a two-digit number are reversed , the new number is 9 more than the original number , and the sum of the digits of the original number is 13 . What is the original number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+x-(10*x+x+9),x+x-(13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "A plane on a search mission flew east from an airport , turned , and flew west back to the airport . The plane cruised at 300 km/h when flying east , and 400 km/h when flying west . The plane was in the air for 7 hours . How far did from the airport did the plane travel ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 400 + 1 / 300 ) *x -( 7)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "A pool owner is trying to fill his pool . The pump takes 6 hrs . A garden hose takes 10 hours . He wants to fill it up in a hurry . So he turns on the pump AND puts in the garden hose . Unfortunately , he leaves the drain open which will drain the pool in 8 hours . How long will it take to fill the pool ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/6+1/10-1/8)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7.05882352941" + ], + "split": "test" + }, + { + "Input": "One number is ten more than six times another number . If each number were multiplied by five , their difference would be 550 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( ( 6*y + 10 )),5*y - 5*y -( 550)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "Enrique is 200 miles away from Jamal . They are traveling towards each other . If Jamal travels 7 mph faster than Enrique and they meet after 8 hours , how fast was each traveling ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(7),8*y+8*x-(200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "Tom has 29 coins made up of 25 cent pieces and 10 cent pieces . The sum of money he has is $ 5.45 . How many of each coin does he have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(29),( 0.01 * 25 ) *x + ( 0.01 * 10 ) *y -( 5.45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "Two numbers are in the ratio 1 to 11 and their sum is 15 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([1*y -( 11*y),y+y-(15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.25" + ], + "split": "train" + }, + { + "Input": "Find two numbers whose sum is 143 such that when the larger number is divided by the smaller , the quotient is 3 . and the remainder is 3 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(3*y+3),x-(143-y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "test" + }, + { + "Input": "one pipe fills a tank in 8 minutes , another pipe can fill it in 12 minutes . find the time taken to fill the tank when both pipes are running together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 8 + 1 / 12 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "dev" + }, + { + "Input": "two small planes start from the same point and fly in opposite directions the first plane flying 55 mph slower than the second plane . In 2 hours planes are 510 miles apart . Find rate of slower plane", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x+2*y-(510),y-(x-55)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "155" + ], + "split": "test" + }, + { + "Input": "bret started on a 70 mile bicycle ride at 20 miles per hour . After a time he became a little tired and slowed down to 12 miles per hour for the rest of the trip . The entire trip of 70 miles took 4.5 hours . How far had bret ridden when he reduced his speed to 12 miles per hour ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([20*x+12*y-(70),x+y-(4.5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "perla is now 5 times as old as Marilou . in 10 years , perla is will be 3 times as old as marilou . how old is each .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 10 -( 3 *( y + 10 )),y -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "Joe has a daughter called Jane . The sum of their ages is equal to 54 and the differences between their ages is 22 . How old are they ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(54),x-y-(22)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "if anna can paint a house in 4 hours and joe can paint a house in 6 hours . how long will it take them to do it together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 + 1 / 6 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "The units digit of a number is 4 more than the tens digit . If the digits are reversed the new number is 1 less than twice the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2 * ( 10*x + y ) - 1-( 10*y + x),y-(x+4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Tom is thrice as the age of Antonette . if the sum of there age is 54 . what are their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 3*y),x+y-(54)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40.5" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 104 . The larger is 1 less than twice the smaller number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y - 1),y+y-(104)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "test" + }, + { + "Input": "taylor can paint a room in 12 hours . Jennifer can paint the room in 10 hours . How long does it take for both taylor and jennifer to paint the room if they are working together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 12 + 1 / 10 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "5.45454545455" + ], + "split": "train" + }, + { + "Input": "The sum of 2 numbers is 61 . The numbers are 5 apart . What are they ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y-5),y+y-(61)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "dev" + }, + { + "Input": "find how many quarts of 6 % butterfat milk and 3 % butterfat milk should be mixed to yield 75 quarts of 5 % butter milk ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*6*x+0.01*3*y-(0.01*75*5),x+y-(75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "Two cars leave the same town at the same time , traveling in the same direction . How long until the two cars are 120 apart if one car travels at 44 mph , and the other car travels at 60 mph ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([60*x-(44*x+44*120)],(x))\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "test" + }, + { + "Input": "The sum of the digits of a two-digit number is 11 . If the digits are reversed the new number is 7 more than twice the original number Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(10*x+x)-(2*(10*x+x)+7),x+x-(11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Tony and Belinda have a combined age of 56 . Belinda is 8 more than twice Tonys age . How old is each ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(56),y-(2*x+8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "The ages of A and B are in the ratio 5 to 3 . After 6 years , their will be in the ratio 7 to 5 . Then the present age of A is ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x -( 5*y),5 *( x + 6 ) -( 7 *( y + 6 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "Twenty-three less than 4 times a number is twenty-one . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*x-23-(21)],(x))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "One number is 12 more than another . The sum of the smaller number and twice the larger number is 39 . Find the larger number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+2*y-(39),y-((y-12))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "the age of henry is 3 times the age of ali . if the sum of their ages is 48 years , how old are they now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(48),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "A plane flies 400 miles with the wind and 320 miles against the wind in the same length of time . If the speed of the wind is 20 mph , what is the speed of the plane in still air ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([320*(x+20)-(400*(x-20))],(x))\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is twelve . The total of three times the smaller number and six amounts to seven less than the product of four and the larger number . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 6 -( 4 * y - 7),(12-x)-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 60 . One number is 16 more than twice the other number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y + 16),y+y-(60)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14.6666666667" + ], + "split": "train" + }, + { + "Input": "one number is three more than another number . the quotient of the larger number divided by the smaller is 1.5 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+3),x-(1.5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "The larger of two numbers is one less than three times the smaller . if their sum is 63 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(63),3*x-y-(1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "dev" + }, + { + "Input": "Three times one number minus a second is 8 , and the sum of the numbers is 12 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x - y -( 8),x+y-(12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "A mother is 27 years older than her daughter . A year ago , the mother was twice as old as her daughter . how old is each now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(27+y),x - 1 -( 2 *( y - 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "tyler is six years older than his sister , and the sum of their ages is 32 . how old is tyler ? how old is his sister ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(32),y-((y+6))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "The metal used to make a coin is a mixture of steel and copper . The ratio , mass of steel to mass of copper is 108 : 7 . The coin has a total mass of 230 milligrams . Calculate the mass of copper in this coin .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(230),7*x-(108*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "A water tank is currently 33.3 % full . If 3 more gallons are added the tank will be 50 % full . Find the capacity of the tank .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*0.01*33.3+3-(x*0.01*50)],(x))\nprint(answer)" + ], + "Output Answer": [ + "17.9640718563" + ], + "split": "dev" + }, + { + "Input": "A canoeist paddled 12 miles upstream in 6 hours and returned to his starting point downstream in 0.75 hour . What was the speed of the current ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6 *( x - y ) -( 12),0.75 *( x + y ) -( 12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "which 2 consecutive integers have a sum of -105", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x+(x+1)-(-105)],(x))\nprint(answer)" + ], + "Output Answer": [ + "-53" + ], + "split": "test" + }, + { + "Input": "A contractor mixed two batches of concrete that were 9.3 and 11.3 percent cement to obtain 4500 lb of concrete that was 10.8 percent cement . How many pounds of each type of concrete was used ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([9.3*x+11.3*y-(10.8*(4500)),y-(4500-x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1125" + ], + "split": "train" + }, + { + "Input": "2 planes travel 880 miles towards each other they pass each other half way after 2 hours . One plane is going 126 mile faster than the other . How fast are both of them going ??", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+126),880-(2*(x+y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "283" + ], + "split": "dev" + }, + { + "Input": "A cylinder contains 50 liters of a 60 % chemical solution . How much of this solution should be drained off and replaced with a 40 % solution to obtain a final strength of 46 % ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*60*(50-x)+0.01*40*x-(0.01*46*(50))],(x))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "dev" + }, + { + "Input": "The sum of two positive integers is 9 . Twice the first integer plus thrice the second integer is 22 . Determine the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(9),2*x+3*y-(22)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "Three times one number increased by twice a second number is 29 . Four times the first less three times the second is 16 . Find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+2*y-(29),4*x-3*y-(16)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "Mary and Nick left from the same place at the same time and drove in opposite directions along a straight road . Mary traveled 15 miles faster than Nick . After three hours , they were 315 miles apart . Find the rate at which each traveled .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3 *( x + y ) -( 315),y-(x+15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "Train A is leaving Austin to Houston at 82.1 miles per hour . Train B leaves to Austin at 109.071 miles per hour . How long before they pass each other on the 240 mile trip ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([82.1*x + 109.071*x -( 240)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.25542053973" + ], + "split": "dev" + }, + { + "Input": "the difference between of two numbers is 67 , the larger number is three less than 6 times the smaller number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(67),6*y-3-(x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "81" + ], + "split": "test" + }, + { + "Input": "Two trains leave Portland , Oregon , at the same time traveling in opposite directions . One train travels at 60 mph and the other at 80 mph . In how many hours will they be 910 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([80*x+60*x-(910)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.5" + ], + "split": "train" + }, + { + "Input": "The difference of two positive numbers is 264 . The larger is three times the smaller number . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(264),x-(3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "396" + ], + "split": "train" + }, + { + "Input": "the sum of 9 and a certain number is equal to four times the number subtracted from 40 . find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([9+x-(40-4*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.2" + ], + "split": "test" + }, + { + "Input": "Two cars leave a gas station travling in opposite directions . One car travels at 60 mph and the other at 64 mph . In how many hours will they be 310 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([60*x + 64*x -( 310)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "dev" + }, + { + "Input": "An experienced bricklayer can construct a small wall in 3 hours . An apprentice can complete the job in 7 hours . Find out how long it takes if they work together .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 ) *x + ( 1 / 7 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.1" + ], + "split": "train" + }, + { + "Input": "A motorboat traveling with the current can go 24 m. in 2 hrs . Against the current it takes 3 hrs . to go with the same distance . Find the rate of the motorboat in calm water and the rate of the current ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([24-(3.00*(x-y)),24-(2.00*(x+y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "Chuck rides 3 hours total on a bicycle trip into the country and back . He rode out at the rate of 16 mph and returned at the rate of 24 mph . How far into the country did Chuck ride -LRB- round to the nearest hundredth -RRB- ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 16 + 1 / 24 ) *x -( 3)],(x))\nprint(answer)" + ], + "Output Answer": [ + "28.8" + ], + "split": "train" + }, + { + "Input": "Two girls are 60 miles apart . Leaving at the same time , mary will travel 21 miles/hr and sally will travel 15 miles/hr . How long will they meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(21+15)-(60)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.66666666667" + ], + "split": "test" + }, + { + "Input": "Ann is 5 years older than her sister Susan . The sum of their ages is 27 . How old is each girl ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(27),y-((y+5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "dev" + }, + { + "Input": "adding together two numbers 1520 . three times the smaller is equal to two times the larger . find the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1520),3*x -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "608" + ], + "split": "train" + }, + { + "Input": "sum of two numbers is 30 . five times the smaller exceeds twice the larger by 17 . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(30),5*x-2*y-(17)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "The sum of the digits of a two-digit number is 8 . If 16 is added to the original number , the result is 3 times the original number with its digits reversed . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(8),10*x+y+16-(3*(10*y+x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "find two numbers are in the ratio of 7 to 12 so that the greater number exceeds by smaller by 275 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(275),7*x -( 12*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "660" + ], + "split": "train" + }, + { + "Input": "If 100 gallons of a 75 % glycerin solution is made up by combining a 30 % glycerin solution with a 90 % glycerin solution , how many gallons of each solution must be used ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(100),30*x+90*y-(100*75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "A truck traveling at a constant rate of 45 mph leaves Tampa . One hour later a car traveling at a constant rate of 60 mph also leaves Tampa traveling in the same direction on the same highway . How long will it take for the car to catch up to the truck if both vehicles continue in the same direction on the highway ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([45*x -( 60*x - 60)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the cashier at the fast food outlet rings up a bill of $ 24.60 for an order of 6 milkshakes and 8 burgers . the next order is for 3 milkshakes and 5 burgers and the bill is $ 14.25 . determine the cost of each itmem .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x+8*y-(24.60),3*x+5*y-(14.25)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "test" + }, + { + "Input": "Bill and Chris left the student union at the same time on bicycles . Bill traveled east , and Chris traveled west . After 0.5 hour , they were 14 miles apart . If Bill was going 2 miles per hour faster than Chris , how fast was each of the bicycles going ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.5)*(x+y)-(14),y-(x+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "dev" + }, + { + "Input": "Kay spends 250 min per week exercising . Her ratio of time spent on aerobics to time spent on weight training is 3 to 2 . how many minutes per week doe she spend on aerobics ? How many minutes per week does she spend on weight training ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x -( 3*y),x+y-(250)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "A motorist thought she had just enough cash to buy 12 gallons of gas . But the price was 30 cents per gallon higher than she had expected , so she could afford only 10 gallons . How much did gas cost per gallon ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([12*x-((x+30)*10)],(x))\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "Norbert sold 23 books on Thursday for a curtain price . On Friday , ha sold 35 of the same books , but he charged $ 0.50 less per book . If he made $ 490.00 in total , hom much did the book sell for each day ??", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([23*x+35*y-(490),y-((x-.50))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8.75" + ], + "split": "test" + }, + { + "Input": "olivia had 32 stamps and sally 154 stamps . Each bought same number of stamps now sally has 3 times as many stamps as olivia . how many stamps did they buy in all ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([154+x-(3*(32+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "train" + }, + { + "Input": "A board 120 cm long is cut into two so that the length of the longer piece is 15 cm long than twice the length of the shorter piece . How long is the shorter piece ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(120),y-(2*y+15)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a postal clerk sold 75 stamps for $ 4.80 . some were 5-cent and some were 8-cent stamps . how many of each kind did he sell ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(75),0.01*5*x+0.01*8*y-(4.8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "Tomas 's age is 33 and Tim is 6 . In how many years will Tomas 's age be 4 times more than Tim 's", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*(6+x)-(33+x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "A boy has a handful of dimes and quarters . He counted the number of coins and found there are 15 coins in all . He figured out the value of the coins together to be $ 3.00 . How many dimes and quarters does the boy have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),0.10*x + 0.25*y -( 3.00)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "Rhonda invested $ 4725 for one year , part at 11 % annual interest , and the balance at 8 % annual interest . She earned twice as much interest from the 11 % investment as from the 8 % investment . How much did she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(4725),( 0.01 * 8 ) *x * 2 -( ( 0.01 * 11 ) *y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1925" + ], + "split": "train" + }, + { + "Input": "Mack traveled from his home to his office at a speed of 58 mph . He traveled the same route on his way back home , but on the return trip his speed was 62 mph . If altogether , Mack spent a total of 3 hours on the road , how many hours did the trip to his office take ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 58 + 1 / 62 ) *x -( 3)],(x))\nprint(answer)" + ], + "Output Answer": [ + "89.9" + ], + "split": "train" + }, + { + "Input": "ONE-SIXTH OF A DENTIST 'S AGE 8 YEARS AGO EQUALS ONE-TENTH OF HIS AGE 8 YEARS HENCE . WHAT IS HIS AGE NOW ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.16666)*(x-8)-((0.1)*(x+8))],(x))\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "Gardener A can mow an entire lawn in 3 hours . Gardener B can mow the same lawn in 5 hours . How long will it take them to mow the lawn if they work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 + 1 / 5 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.875" + ], + "split": "train" + }, + { + "Input": "Two numbers have a sum of 39 . Their difference is 11 . What are the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(39),x-y-(11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "In 4 years , Nan will be 3 times as old as Dan will be then . The sum of their ages now is 56", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 4 -( 3 *( y + 4 )),x+y-(56)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "Everton college paid $ 1625 for an order of 45 calculators . the store paid $ 10 for each scientific calculator , The others all graphing calculators cost the store $ 57 each . How many of each type were ordered ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x + 57*y -( 1625),x+y-(45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "Two trains leave Kansas City at the same time . One train travels east and the other one travels west . The speed of the westbound tain is 5 mph greater then the speed of the eastbound train . After 6 hours , they are 510 miles apart . Find the rate of each train . Assume the trains travel in a straight line in opposite directions .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+5),6*x + 6*y -( 510)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 135 . Twice the first number equals 280 minus 3 times the second number . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(135),2*x+3*y-(280)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "Two steamers leave a port on a river at the same time , traveling opposite directions . Each is traveling 22 mph . How long will it take for them to be 110 mi apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([22*x + 22*x -( 110)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "dev" + }, + { + "Input": "There are 297 children in Year 6 . For every 14 girls there are 13 boys . So , there are how many boys and how many girls in Year 6 ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([14*x + y -( 297),y -( 13*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "A man is 7 times as old as his son . In 8 years he will be only three times as old as his son . how old is the man now", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 7*y),y+8-(3*(y+8))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "in a bag of nickels and dimes , there are three times as many nickels as dimes . the total value of coins is $ 1.50 , find the number of dimes in the bag ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*y+0.10*y-(1.50),y-((3*y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "one number is 5 less than another . if 5 times the larger is subtracted form 8 times the smaller , the result is 11", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y-5),8*y - 5*y -( 11)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "My father is 4 times my age . Then the sum of our age is 70 . what is our age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(70),y -( 4*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "Two numbers sum to give an answer of 120 . One number is 48 greater than the other number . Find both numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(120),x-y-(48)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "A woman invested P25 ,000 in two business ventures , last year she made a profit of 15 % from the first venture but lost 5 % from the second venture . if the last years income from the two investments was equivalent to a return of 8 % of the entire amount invested , how much had she invested in each venture ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*15*(x)-0.01*5*y-(0.01*8*(25000)),y-((25000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16250" + ], + "split": "train" + }, + { + "Input": "the sum of the ages of petra and her mother is 45 . her mother is 9 years more than twice as old as petra . how old are petra and her mother", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(45),y -( 2*x + 9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "The Sum of two numbers is 44 . If the larger number is two less than three times the smaller number , find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(44),y -( ( 3*x - 2 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11.5" + ], + "split": "train" + }, + { + "Input": "Jim rides his bike to school every morning at an average speed of 15 miles per hour . He rides home along the same route at 10 miles per hour . If the total time of his commute is 1 hour , how far , in miles , is Jim 's trip to work ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 10 + 1 / 15 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "three times the larger of two numbers is equal to four times the smaller.the sum of the numbers is 21 . please hhelp me find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(21),3*x-4*y-(0)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "Jill has $ 3.50 in nickels and dimes . If she has 50 coins , how many of each type of coin does she have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.1*y-(3.5),x+y-(50)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "ted runs two-thirds as fast as frank . in two hours frank runs eight miles farther then ted . how fast does each run ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 0.6666666*y),2*y - 2*x -( 8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11.9999976" + ], + "split": "dev" + }, + { + "Input": "one number is 7 more than another number . the sum of these two numbers is 101 . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(7),x+y-(101)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "The difference between two numbers is 10 . The greater number is 4 more then twice the lesser number . Find the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),x-(2*y+4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "On a History Exam , each multiple-choice question is worth 3 points , and each true false question is worth 2 points . Vanessa answered 28 questions correctly on the exam and earned a score of 77 points.How many multiple-choice questions did she answer correctly and how many true-false questions did she answer corectly ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),3*x+2*y-(77)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "test" + }, + { + "Input": "A two digit number is 3 times the sum of it 's digits . The number is also 45 less than the number formed by reversing the digits and the original number . What is the original number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+y-(3*(x+y)),10*x+y-(10*y-x-45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.19512195122" + ], + "split": "train" + }, + { + "Input": "Cody ordered game tickets that cost $ 7.50 for children and $ 12.00 for adults . She ordered 8 more children 's tickets than adults tickets . Her total bill was $ 138 . How many of each type of ticket did she order ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([7.5 *( x ) + 12*y -( 138),y-((x-8))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "One number is greater than thrice the other number by 2 . If 4 times the smaller number exceeds the greater by 5 , find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(3*y+2),4*y -( x + 5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "lizzie bought several apples at 20 cents each , ate 2 of them and sold the rest for 30 cents each . She made a profit of 2.20 . How many did she buy", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 30 ) *y - ( 0.01 * 20 ) *y -( 2.20),y-((y-2))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "When Sally asked Johnny how old he was , he replied that in 2 years he would be twice as old as he was 3 years ago . How old is Johnny ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x + 2 -( 2 *( x - 3 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 53 . if three times the smaller is one less than the larger , find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(53),3*x -( y - 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "one number is 5 more than twice another . the sum is 89 . what are the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( ( 2*y + 5 )),y+y-(89)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "One number is 2 less than another . If 9 times the smaller number minus 2 times the larger number is 52 , find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-2),9*x - 2*y -( 52)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "A boy went out into the barangay on his bike at 5 kph . He rested two hours . and returned home along the same road at the rate of 3 kph . If he was gone for 6 hrs , how far was the barangay from his home ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/5)*x+(1/3)*x+2-(6)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "two trains are 276 miles apart , and their speeds differ by 10 mph . they are traveling towards each other and will meet in 3 hours . find the speed of the slower train .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(10),3*x + 3*y -( 276)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "one number is 3 more than another . the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number . What is the larger number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+3),y - 4*x -( 6*x - 12)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "A person invested $ 10,000 . the greater part is invested at 6 % and the remainder at 5 % . The annual income from the greater part is $ 160 more then the annual income from the smaller part . What is the smaller part of the investment ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10000),(0.01*6)*x-((0.01*5)*y+160)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "Maria and Juan have some m & m 's . Since Maria has three times as juan , he started crying . So Maria decided to give him 3 m & m 's . She now has twice as much as Juan . How many m & m 's does each person have now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-3-(2*(y+3)),y -( 3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "Five Years ago , Gemma was twice as old as Tony is now . In seven years , Gemma will be five times as old as Tony is now . What are Gemma 's and Tony current age 's .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 5 -( 2*y),x + 7 -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "Seventy two students are separated into two groups.The first group is 5 times as large as the second . How many students are in each group ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(72),5*y -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "What is twenty more than three times a number is the same as the sum of that number and twelve ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x+20-(x+12)],(x))\nprint(answer)" + ], + "Output Answer": [ + "-4" + ], + "split": "train" + }, + { + "Input": "sue is now seven times old as louise . in six years sue will be five time as old as louise . find the present age of each one .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 6 -( 5 *( y + 6 )),y -( 7*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "Farmers were discussing how many chickens and cows they would purchase at market . The first farmer says to the other , '' I have just purchased 30 new heads and 100 feet . '' how many chicken and how many cows did the farmer purchase .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(30),2*x+4*y-(100)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "The tens digit of a given two-digit positive number is two more than three times the units digit . If the digits are reversed , the new number is 13 less than half the given number . Find the given integer .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2 + 3*y),10*x + y -( 10*y + x + 13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.16666666667" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is 50 . one number is 1 less than 2 times the other number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(50),x -( 2*y - 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "one number is 5 more than 3 times another number , the sum of two numbers is 157 . find the bigger number", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(157),x -( 3*y + 5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "119" + ], + "split": "dev" + }, + { + "Input": "One number is two less than a second number . Twice the first is 4 more than 3 times the second . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-2),2*x -( 3*y + 4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-10" + ], + "split": "dev" + }, + { + "Input": "Suppose you invested $ 10000 , part at 6 % annual interest and the rest at 9 % annual interest . If you received $ 684 in interest after on year , how much did you invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*6*x+0.01*9*y-(684),x+y-(10000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "train" + }, + { + "Input": "THE ATTENDANCE AT A SCHOOL CONCERT WAS 578 . ADMISSION COST $ 2.00 FOR ADULTS AND $ 1.50 FOR CHILDREN . THE RECEIPTS WERE $ 985.00 . HOW MANY ADULTS AND HOW MANY CHILDREN ATTENDED THE CONCERT ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(578),2*x+1.5*y-(985)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "342" + ], + "split": "train" + }, + { + "Input": "Ben can paint a fence in 3 hours and Billy takes 4 hours . How long will it take them to painting together", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/3+1/4)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.71428571429" + ], + "split": "dev" + }, + { + "Input": "A motorboat can maintain a constant speed of 16 miles per hour relative to the water . The boat makes a trip upstream to a certain point in 20 minutes . The return trip takes 15 minutes . What is the speed of the current ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([15*y-((16-y)),20*y-((16+y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.28571428571" + ], + "split": "train" + }, + { + "Input": "The Nutty Professor sells cashews for $ 6.75 per pound and Brazil nuts for $ 5.00 per pound . How much of each type should be used to make a 50-lb mixture that sells for $ 5.70 per pound ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6.75*x + 5*y -( 5.70 *( 50 )),y-((50-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "The sum of three times first number and the second number is 86 . Two times the first number is 1 less than the second number . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x-(y-1),3*x+y-(86)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "One number is 4 more than another number . Find the two numbers if two times the larger number is 7 less than five times the smaller number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+4),2*y -( 5*y - 7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "The difference between two numbers is 16 . Five times the smaller is the same as 8 less than twice the larger . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(16),2*x - 8 -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the sum of two number is 28 . if the second number is thrice the first , what is the second number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "Five years ago , John 's age was half of the age he will be in 8 years . How old is he now ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(x-5)-(0.5*(x+8))],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "The sum of the ages of Mrs Bai and her daughter Jenni is 70 . The difference between their ages is 32 years . How old is Jenni ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(32),x+y-(70)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "Mark has 45 cents in dimes and nickels . He has 3 more nickels than dimes . How many of each type of coin does Mark have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+3),0.05*x+0.10*y-(0.01*45)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "How much 60 % antifreeze solution and 54 % antifreeze solution should be combined to give 39 gallons of 58 % antifreeze solution ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*60*x+0.01*54*(y)-(0.01*58*(39)),x+y-(39)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "If Sara can paint a house in 4 hours and Bill can paint the same house in 6 hours how long will it take them to paint the house together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 ) *x + ( 1 / 6 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "The greater of two numbers is 5 less than twice the smaller . And the sum of the numbers is 52", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(52),(2*y-5)-(x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "Sally brought 3 chocolate bars and a pack of gum and paid $ 1.75 . Jake brought 2 chocolate bars and 4 packs of gum and paid $ 2.00 . Find the cost of a chocolate bar and the cost of a pack of gum .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+y-(1.75),2*x+4*y-(2.00)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "Sam Mathius invested part of his $ 10,000 bonus in a fund that paid an 11 % profit and invested the rest in stock that suffered a 4 % loss . Find the amount of each investment if his overall net profit is $ 650 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10000.),( 0.01 * 11 ) *x - ( 0.01 * 4 ) *y -( 650)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7000" + ], + "split": "train" + }, + { + "Input": "Please ! help me on how do i set up this problem to answer it . Sylvia can complete a job in 45 minutes working alone . Carla takes 30 minutes to complete the same job . How long would it take if they worked together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 45 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Lisa will make punch that is 25 % fruit juice by adding pure fruit juice to a 2-liter mixture that is 10 % pure fruit juice . How many liters of pure fruit juice does she need to add ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*100)*x+(0.01*10*2)-((0.01*25)*(x+2))],(x))\nprint(answer)" + ], + "Output Answer": [ + "0.4" + ], + "split": "dev" + }, + { + "Input": "buds age is one-third the age of his uncle . if Bud is 8 years old , how old is his uncle ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.33333*x -( 8)],(x))\nprint(answer)" + ], + "Output Answer": [ + "24.0002400024" + ], + "split": "train" + }, + { + "Input": "A public pool opened for the summer . A total of 246 people came swimming over the first 3 days it was open . On the first day , 79 came to swim . on the second day , 47 more people swam than on the third day . how many people swam on the third day ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([79+47+x-(246)],(x))\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "i wants to buy flowers for my friend with $ 27 . daisies are $ 1 each and roses are $ 3 each . but i buys 3 more daisies than roses . how much did the roses cost ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 1*y -( 27),y-((x+3))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "John is now four times as old as James . In 5 years , John will be three times as old as James . Find their present ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 4*y),x + 5 -( 3 *( y + 5 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "Find two numbers whose sum is 63 and whose difference is 5 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(63),x-y-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "test" + }, + { + "Input": "josh has 25 coins . these are nickels and dimes . if he has 1.95 dollars , how many of each will he have", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.05)*x+(0.10)*y-(1.95),y-((25-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "Marco is 1 year older than twice as old as Marie . How old is Marie if the sum of their ages is 37 ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(37),y -( ( 2*x + 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "Ms. Walker drives to work at a speed of 60 miles per hour . On her trip home from work , she travels along the same route at a speed of 40 miles per hour . If her round trip takes 1 hour to complete , how many miles does Ms. Walker drive each way ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 60 + 1 / 40 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "Adult tickets for a play cost $ 25 each and childre n'ts tickets cost $ 15 each . The total receipts were $ 7200 and the total attendance ws 400 . How many adults and how many children attended ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(400),25*x+15*y-(7200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "A chemistry experiment calls for a 40 % scotch whiskey solution . If your pantry has only a 30 % and a 100 % solution of a 12 year old scotch , how much of each should be mixed to obtain 14 liters of a 40 % for your favorite drink .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 100 ) *x + ( 0.01 * 30 ) *y -( ( 0.01 * 40 * 14 )),y-((14-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "One number is 5 more than another number . If the smaller number is doubled and added to 3 times the larger number , the sum is 80 . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+5),2*y + 3*x -( 80)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "Suppose you hike up a hill at a rate of 4 mph . You hike back down the hill at 6 mph . The total time you spent on the hiking trip was 3 hours . How much time did it take you to hike up the hill ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 + 1 / 6 ) *x -( 3)],(x))\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "on a test you missed 5 times as many questions as your friend . If together you missed 216 questions , how many did you miss ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(216),y -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "Robert inherited $ 4000 from his grandmother . Part was invested at 5 % while the rest was invested at 6.5 % . The interest for a year was $ 227 . How much was invested at 6.5 percent ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*6.5*x+0.01*5*y-(227),y-((4000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "Little Johnny invested $ 10,000 . He put part of it in a bank at 5 percent interest . He put the remainder in bonds which pay a 9 percent annual return . How much did he invest in each method -LRB- savings bank and bond -RRB- if his annual income from the two investments was $ 660 ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10000),( 0.01 * 5 ) *x + ( 0.01 * 9 ) *y -( 660)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "The sum of five times one number plus twice a second number is 2 . The sum of twice the first number plus the second number is 26 . what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x + 2*y -( 2),2*x + y -( 26)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-50" + ], + "split": "train" + }, + { + "Input": "A man has $ .70 in dimes and nickels . He has 8 coins together . How many nickels does he have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(8),0.05*x + 0.10*y -( 0.70)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "The mother is 20 years older than the daughter . The sum of their present ages is 40 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(40),y-(y+20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "The difference of two numbers is 3 . Their sum is 13 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(13),x-y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "A woman goes to work and has an average speed of 45 mph . She takes the same route home and has an average speed of 30 mph . Her commute to and from work took an hour . How many miles does she travel to work ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 45 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Mary is four times as old as John . The difference of their ages is 42 . How old is each .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(42),x-4*y-(0)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "Raj is 11 years old and his uncle is 59 years . How many years ago was raj 's uncle 7 times as old as raj .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([7 *( 11 - x ) -( 59 - x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "i think of a pair of numbers . if i add 7 to the first , i obtain a number which is twice the second . If i add 20 to the second , i obtain a number which is four times the first . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+7-(2*y),4*x-(y+20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6.71428571429" + ], + "split": "train" + }, + { + "Input": "Tim and Judy mix two kinds of feed for pedigree dogs . They wish to make 17 pounds of feed worth $ 0.22 pound by mixing one kind worth $ 0.11 per pound with another worth $ 0.50 per pound . How many pounds of the cheaper kind should they use in the mix ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(17),.11*x+.5*y-(.22*(17))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12.2051282051" + ], + "split": "train" + }, + { + "Input": "One number is seven more than twice another . If their sum is decreased by nine , the result is thirteen . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y + 7),y+y-9-(13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "The difference of two numbers is 16 . Three-fourths of the larger number is 14 larger than one-half of the smaller number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(16),(0.75)*x-(14+(0.5)*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "Susan invests 3 times as much money at 11 % as she does at 9 % . If her total interest after 1 year is $ 1680 , how much does she have invested at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*11)*x+(0.01*9)*y-(1680),x-(3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "I have twice as many nickels as quarters . If the coins are worth $ 4.90 , how many quarters are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([.25 * x + y *( .05 ) -( 4.90),y-(2*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "Danny is 40 years old and Jane is 26 years old . How many years ago was Danny thrice as old as Jane ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([40 - x -( 3 *( 26 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "In the time it takes to fliy 360 miles with a head wind , she can only fly 240 mies against the headwind . if the speed of the plane in stll air is 150 mph , find the wind speed .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([240 *( 150 + x ) -( 360 *( 150 - x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "pete is 35 and his son is 9 . In how many years exactly will pete be three times olders than his son ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x + 35 -( 3 *( x + 9 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if matt is 3 years less than 4 times as old as john , and the sum of both of their ages are 52 , how old are matt and john ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(52),y -( 4*x - 3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "Grandma 's Bakery sells single-crust apple pies for $ 6.99 and double-crust cherry pies for $ 10.99 . The total number of pies sold on a busy Friday was 36 . If the amount collected for all the pies that day was $ 331.64 , how many of each type were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),10.99*x+6.99*y-(331.64)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "John received a total of $ 1282 a year from two investments . He has invested $ 4000 in one account and $ 8200 in the other account that he pays 1.5 % more than the first account . What is the interest rate for each account ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([8200*x+4000*y-(1282),x-(y+(0.01*1.5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.11" + ], + "split": "train" + }, + { + "Input": "The sum of the ages of Petra and her mother is 47 . Her mother is 14 years more than twice as old as Petra . How old are Petra and her mother ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 14 + 2*y),x+y-(47)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is 48 and their difference is 80 . Find each ofthe number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(48),x-y-(80)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "Six years ago , Sam was three times as old as Sue . Four years from now Sam will be twice as old as Sue will be . Find the present age of each .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x - 6 -( 3 *( y - 6 )),x + 4 -( 2 *( y + 4 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "two trains started from the same station at the same time and traveled in opposite directions . after traveling 10 hours , they were 1400 miles apart . the rate of the fast train exceeded the rate of the slow train by 5 miles per hour . what is the rate of each train ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+10*y-(1400),y-((x+5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "67.5" + ], + "split": "test" + }, + { + "Input": "a paddle boat can move at the speed of 20 km/h in still water . the boat is paddled 12 km downstream in the same time it takes to go 6 km upstream . what is the speed of the river .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([12*(20-x)-(6*(x+20))],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.66666666667" + ], + "split": "train" + }, + { + "Input": "the rocking pebbles are playing a concert at big state university the auditoruim seats 2200 people . the concert manager decides to sell some tickets at $ 10 each and the rest at $ 15 each . how many of each kind should the manager sell if he wants ticket sales to total $ 26,600 ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x + 15*y -( 26600),x+y-(2200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1280" + ], + "split": "test" + }, + { + "Input": "you have $ 2.58 in pennys and nickels . Number of pennys 36 less than two times the number of nickels . How many pennys do you have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x + 0.01*y -( 2.58),y -( ( 2*x - 36 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "John drove to a distance city in 6 hours . When he returned , there was less traffic and the trip took only 5 hours . If John averaged 12 mph faster on the return trip , how fast did John travel in each direction ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x-(5*y),y-((x+12))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "Your teacher is giving you a test worth 100 points containing 40 questions . There are two point and four point questions on the test . How many of each type of questions are on the test ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(40),2*x+4*y-(100)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "One number is 6 more than another . If the sum of the smaller number and 3 times the larger number is 34 , find the two numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+3*y-(34),y-((x+6))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "Two cars travel in opposite directions from the same point . The rate of one car is 10mph less than the rate of the other car . After 8 hours , the cars are 560 miles apart . Find the rate of each car .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([8*x + 8*y -( 560),y-((x-10))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "One number is 7 more than another . Twice the smaller added to the larger is -20 . Find the smaller number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-((y+7)),2*y+y-(-20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-9" + ], + "split": "train" + }, + { + "Input": "a childs bank contains 70 coins consisting of nickels and dimes that have a total value of $ 5.55 . how many of each kind of coin are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.1*y-(5.55),x+y-(70)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "train" + }, + { + "Input": "One pipe can fill a tank in 5 hours and another pipe can fill the same tank in 4 hours . A drainpipe can empty the full content of the tank in 20 hours . With all the three pipes open , how long will it take to fill the tank ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 5 + 1 / 4 - 1 / 20 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "If 5 times a number is increased by 50 , the result is the same as when 200 is decreased by the number . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5*x+50-(200-x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "What age is a boy now if his mother is 12 times his age and in 20 years she will be twice his age ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 20 -( 2 *( y + 20 )),y -( 12*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "The sum of the ages of a father and her daughter is 44 years . The father 's age is 4 years more than 3 times the daughter 's age . Find the ages of both .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(44),y -( ( 4 + 3*x ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "I have 34 coins that are dimes and nickles and equal $ 2.50 . how many nickles do I have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.1*y-(2.5),x+y-(34)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "A total of 1096 people attended the concert at the County Fair . Reserved seats cost $ 25.00 eac and unreserved seats cost $ 20.00 each . If $ 26,170.00 was collected , how many of each type of ticket was sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1096),25*x+20*y-(26170)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "246" + ], + "split": "train" + }, + { + "Input": "hi please help me with this problem : The sum of two numers is -17 . If one number is one less than three times the other , find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-17),3*y-x-(1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-4" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 100 . One number is 5 less than twice the other . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(100),x-(2*y-5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "If a number is substracted from five more than twice the number , the result is 9 . Find the number", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(5+2*x)-x-(9)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "jim is seven years older than janice . the sum of there ages is 41 . how old is each person .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+7),x+y-(41)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "The sum of the ages of dorothy and dorilyn is 41 . In 5 years , dorothy will be twice as old as dorilyn . Find thier ages 3 years ago .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(41),x + 5 -( 2 *( y + 5 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "dev" + }, + { + "Input": "tickets at a concert cost $ 8 for section A and $ 4.25 for section B . In total 4500 tickets were sold worth $ 30000 . How many of each type of ticket were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([8*x+4.25*y-(30000),x+y-(4500)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2900" + ], + "split": "train" + }, + { + "Input": "Esther drove to work in the morning at an average speed of 45 miles per hour . She returned home in the evening along the same route and averaged 30 miles per hour . If Esther spent a total of one hour commuting to and from work , how many miles did Esther drive to work in the morning ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 45 + 1 / 30 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a number is 3 less than 4 times another number . if their sum is equal to 117 , then the greater number is ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(4*y-3),x+y-(117)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "93" + ], + "split": "dev" + }, + { + "Input": "Two cars leave philadelphia , one traveling north and the other traveling south . After 3 hours , they are 297 miles apart . If one car is traveling 5 miles per hour faster than the other , what is the speed of each ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3 *( x + y ) -( 297),y-(x+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "test" + }, + { + "Input": "Here it is The expensive ones cost $ 7 each , whereas the worthless ones sold for only $ 2 each . Monongahela spent $ 111 and bought three more expensive ones than worthless ones . How may of each kind did she buy .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(3),2*y+7*x-(111)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "A wild birdseed mix is made by combining 100 lb . of millet seed costing $ 0.60 per lb . with sunflower seeds costing $ 1.10 per pound . How many pounds of sunflower seeds are needed to make a mixture that costs $ 0.70 per lb ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(100*0.60+1.1*x)-(0.70*(100+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "If the slower painter , who takes 6 hours to paint , starts at two o'clock , and the fast painter , who takes 4 hours to paint , starts 3 hour later than the slow painter , what time do they finish ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([1-((1/4)*3+x*(1/4+1/6))],(x))\nprint(answer)" + ], + "Output Answer": [ + "0.6" + ], + "split": "train" + }, + { + "Input": "Michael sold a total of 320 tickets at a fair . The money recived was $ 1255 . Each adult ticket was $ 5 and each child ticket was $ 2 . How many adult tickets did he sell .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(320),5*x+2*y-(1255)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "115" + ], + "split": "dev" + }, + { + "Input": "Mr. Granger is 10 years more than twice as old as his son . However , last year he was 4 years less than 3 times as old as his son . How old are Mr. Granger and his son ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 10 + 2*y),( x - 1 ) + 4 -( 3*(y - 1))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "kyle works at a donut shop , where a 10 oz . cup of coffee costs 95 cent , a 14 oz . cup of coffee costs $ 1.15 , and a 20 oz . cup costs $ 1.50 . during one busy period Kyle served 24 cups of coffee , using 384 ounces of coffee , while collecting a total of $ 30.60 . How many cups of each size did kyle fill", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(24),14*x + 20*y -( 384)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "can you please help me find two numbers whose sum is 63 and whose difference is 5", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(63),x-y-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "train" + }, + { + "Input": "A motorboat can go 16 miles downstream on a river in 20 minutes . It takes 30 minutes for this boat to go back upstream the same 16 miles . Find the speed of the current .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([16-((x+y)*20),16-((x-y)*30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.666666666667" + ], + "split": "train" + }, + { + "Input": "A girl buys three apples and seven oranges for $ 4.56 . If an orange costs $ 0.28 more than an apple , how much does each fruit cost ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 7*y -( 4.56),y-x-(0.28)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.26" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 50 . The difference between these numbers is 10 than find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(50),y-x-(10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "a bathtub takes 10 minutes to fill with water and 12 minutes to drain . If the drain stays open unnoticed , how long will it take to fill the tub with water ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 10 - 1 / 12 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "The first of two numbers is 9 more than the second . Three times the first number is equal to 7 more than 5 times the second . What are the missing numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+9),3*x-(5*y+7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is 73 . five times the smaller number exceeds the larger number by 149 . find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(73),5*x-y-(149)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "A woman is one more year than 4 times the age of her daughter . In 4 years , she will be 3 times as old as her daughter will be then . What are their present ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 4*y + 1),x + 4 -( 3 *( y + 4 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "test" + }, + { + "Input": "Two planes leave an airport at the same time , one flying east , the other flying west . The eastbound plane travels 110 mph slower . They are 2250 mi apart after 3 hr . Find the speed of each plane .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 3*y -( 2250),y-((x-110))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "430" + ], + "split": "train" + }, + { + "Input": "If Sara can paint a house in 4 hours , and John can paint the same house in 6 hours , how long will it take for both of them working together to paint the same house .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 4 + 1 / 6 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "Car A leaves a certain point travelling at an average rate of 45 km/h . Three hours later , Car B leaves the same point travelling at 55 km/h in the same direction . After how long will Car B over take Car A ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([45*(x+3)-(55*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "13.5" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 15 . Three times on of the numbers is 11 less than five times the other . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),3*y+11-(5*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "The sum of 2 two-digit numbers is 89 and their difference is 19 . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(89),x-y-(19)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "Albert is 15 years old and his dad is 48 . How many years ago was his dad 4 times as old as Albert was then ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([48-x-(4*(15-x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "The denominator of a fraction exceeds twice the numerator by 10 . The value of the fraction is 5 to 12 . Find the fraction .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([12*x -( 5*y),y -( 2*x + 10)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "The larger of two numbers is four less than twice the smaller . Their sum is twenty-three . Find the larger number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(23),2*x-y-(4)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "dev" + }, + { + "Input": "The sum of two brothers is 46 . The younger brother is 10 more than a third of the older brothers age . How old is the younger brother ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(0.3333333*y+10),y+y-(46)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27.000000675" + ], + "split": "train" + }, + { + "Input": "An investment at 8 % and some at 9 % annual simple interest . The interest for 1 year on the combined investment of $ 10,000 was $ 840 . How much was invested at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x + ( 0.01 * 9 ) *y -( 840),x+y-(10000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "dev" + }, + { + "Input": "The sum of bob 's age and carol 's age is 66 . Carol 's age is 2 more than 3 times bob 's age . How old are Carol and bob ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([66-x-(y),x-(3*y+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "In 3 years , alex will be 3 times as old as his sister Precy . A year ago , Alex was 7 times as old as Precy . How old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 3 -( 3 *( y + 3 )),x - 1 -( 7 *( y - 1 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "two investments in companies total $ 2000 . If one investment earns 3 % annually and the other earns 2 % annually . Find the amount invested in each , if the total interest earned in $ 54 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*3)*x+(0.01*2)*y-(54),y-((2000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1400" + ], + "split": "dev" + }, + { + "Input": "How old am i if i am 4 times my daughters age today and 7 years earlier i was 11 times her age ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-7-(11*(y-7)),y-(4*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "A father is twice as old as his son . 12 years ago the father was 4 times as old as the son was then - determine the present age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 2*y),y - 12 -( 4 *( y - 12 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Jim can fill a pool carrying buckets of water in 30 minutes . Sue can do the same job in 45 minutes . Tony can do the same job in 90 minutes . How quickly can all three fill the pool together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 30 + 1 / 45 + 1 / 90 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "The sum of two positive integers is 80 . Find the integers if one number is 8 greater than the other .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+8),y+y-(80)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "A man Bought cashew nuts worth P 210 / kilo and peanut at P 130 / kilo . How many kilos or cashew nuts and peanuts where in it become 5 kilos worth P 178 per kilo ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([210*x + 130*y -( 178 *( 5 )),y-((5-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "A grocer wants to mix two kinds of coffee . One kind sells for $ 2.15 per pound and the other sells for 2.45 per pound . He wants to mix a total of 18 pounds and sell it for $ 2.30 per pound . How many pounds of each kind should he use in the new mix ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(18),2.15*x+2.45*y-(18*2.30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "It take you 2 min to wash a window , and takes your friend 3 minutes to wash a window . How long does it take the two of you to wash 25 windows if you work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 2 + 1 / 3 ) *x -( 25)],(x))\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "A book cost $ 15 if bought online and $ 22.50 if bought at the store . The bookstore sold 250 books and took in $ 4995 . How many books were bought online and how many were bought in the store ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(250),15*x + 22.50*y -( 4995)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "test" + }, + { + "Input": "Lorna is twice as older as peter . if their ages add up to 9 years old , how old is peter", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(2*y),y+y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "A chef is using a mixture of two brands of Italian dressing . The first brand contains 8 % vinegar , and the second brand contains 13 % vinegar . The chef wants to make 320 milliliters of a dressing that is 11 % vinegar . How much of each brand should she use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*8*x+0.01*13*y-(320*0.01*11),x+y-(320)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "128" + ], + "split": "dev" + }, + { + "Input": "you have 35 nickels and dimes . their total value is $ 2.85 . write the system of equations to find the number n of nickels and the number of d dimes .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.05*x+0.1*y-(2.85),x+y-(35)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "My horse and saddle are worth $ 100.00 , and my horse is worth 7 times as much as my saddle . What is the value of each ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(100),y -( 7*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "dev" + }, + { + "Input": "The greater of the two consecutive even numbers is 6 less than twice the smaller .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+2),y -( 2*y - 6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "The smaller of two numbers is 3 less that the larger . Twice the larger plus 4 times the smaller is 36 . Find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y-3),2*y + 4*x -( 36)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "A store is selling CD 's for $ 10.50 and for $ 8.50 . You buy 10 total and spend $ 93.00 . How many of each price did you buy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),10.5*x+8.5*y-(93)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "Two numbers are in the ratio 3 to 7 . Two-fifths of their sum is 32 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*y -( 7*y),0.4 *( y + y ) -( 32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "Julie is 4 times older than Aaron . In 10 years Julie will be twice as old as Aaron . How old are Julie and Aaron ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y + 10 -( 2 *( y + 10 )),y -( 4*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "Annual concert . A total of 150 tickets were sold for the annual concert to students and non-students . Student tickets were $ 5 and non-student tickets were $ 8 . If the total revenue for the concert was $ 930 , then how many tickets of each type were sold ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([930 -( 5*x + 8*y),y-((150-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "A chemist mixed a 20 % alcohol solution with a 12 % alcohol solution to obtain 200 mL of a 15 % alcohol solution . How many mL of the 20 % solution did he use ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(200),0.01*20*x+0.01*12*y-(0.01*15*(200))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "The sum of two numbers is twice their difference . The larger number is 7 more than twice the smaller . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(2*(y-x)),y-((2*x+7))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "it takes 2 hours for jay to paint a wall and 3 hours for his brother bong . how long will it take for the two of them working together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 2 ) *x + ( 1 / 3 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "train" + }, + { + "Input": "find 2 numbers whose sum is 100 and whose difference is 14 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(100),x-y-(14)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "43" + ], + "split": "train" + }, + { + "Input": "Deborah splits $ 20,000 between Bryce Bond Fund with an annual yield of 8 % and Strauss Stock Fund with an annual yield of 12 % . If her total income for one year on the two investments was $ 1,836.88 , then how much did she invest in each fund ? Please Help ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*12*x+0.01*8*y-(1836.88),x+y-(20000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14078" + ], + "split": "test" + }, + { + "Input": "deanna is five more than six times than ted . Twine the sum of their ages is 94 . How old is ted ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 6*y + 5),2*x + 2*y -( 94)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "41" + ], + "split": "test" + }, + { + "Input": "When asked how old he is , a boy replied : '' I am twice older than I was 5 years ago . '' How old is he now ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x-(2*(x-5))],(x))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "A store mixes coffee A worth $ 10 . per kilogram and coffee B worth $ 12 . per kilogram . The mixture is to sell for $ 11 . per kilogram . Find how much should be used to make a 480 kilogram mixture . How many kilograms of coffee A should be in the mix ? How many kilograms of coffee B should be in the mix ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+12*y-(11*480),y-((480-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "The difference between two numbers is 4 less than their sum . One number is 1 less than the other number . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y-1),y+y-4-(y-y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the sum of two integers is 1 . if the smaller integer is 11 less than 5 times the larger , what are the integers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1),x+11-(5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "How long will it take Jose and Alex together to paint a car which can be done by Jose Alone in 7 days and Alex alone in 5 days ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/7+1/5)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.91666666667" + ], + "split": "train" + }, + { + "Input": "the board of directors of a coporation grant a bonus of $ 5,000 to divided between two employees . the senior employee receives $ 1200 more then the junior employee . how much does each employee receive ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(5000),y-(x+1200)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1900" + ], + "split": "train" + }, + { + "Input": "A dehydrated patient needs a 3.24 % saline IV . Unfortunately , the hospital only has bags of 1 % and 9 % saline solutions . How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration ? Please show all your work .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(5),( 0.01 * 1 ) *x + ( 0.01 * 9 ) * y -( ( 0.01 * 3.24 ) * 5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "Reggie is 5 years older than Lani . 5 years ago the sum of their ages was 25 . How old are they now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-5+y-5-(25),y-(x+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "you want to mix a 30 % solution with a 80 % solution to get 40 ounces of a 45 % solution . how much of each solution do you need ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(40),0.01*30*x+0.01*80*y-(0.01*45*40)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "An old water pump can fill up a large trough in 600 sec , but a second , newer pump takes only 200 sec to fill the trough . How long would it take to fill the trough using both pumps at the same time ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(1/600+1/200)*x-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "find two numbers whose difference is 200 , such that the larger number is 5 times the smaller .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(200),x -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "the sum of two numbers is -3 . if the second number is subtracted from the first , the difference is 27 . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-3),x-y-(27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-15" + ], + "split": "test" + }, + { + "Input": "There are 2 numbers . One number is six greater than another . If the sum of the two numbers is 44 , what are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(44),x-y-(6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "The ratio between two positive number is 6 to 5 . if the difference between the two numbers is 8 , what are the two numbers ? Thanks !", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x -( 6*y),x-y-(8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "The sum of the two digits of a number is 14 , the value of the number is 2 less than 11 times the tens digit , what is the number ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(14),11*x-2-(10*x+y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "Walt made an extra $ 9000 last year from a part-time job . He invested part of the money at 9 % and the rest at 8 % . He made a total of $ 770 in interest . How much was invested at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 0.01 * 8 ) *x + ( 0.01 * 9 ) *y -( 770),y-((9000-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4000" + ], + "split": "train" + }, + { + "Input": "when fritz drives to work his trip takes 48 minutes , but when he takes the train it takes 40 minutes . find the distance fritz travels to work if the train travels an average of 6 mph faster than his driving .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 40 - 1 / 48 ) *x -( 6 * ( 1 / 60 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient . The eye-drop solution must have a 2 % active ingredient , but the pharmacist only has 10 % solution and 1 % solution in stock . How much of each type of solution should be used to fill the prescription .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*1)*x+(0.01*10)*y-((0.01*2*15)),y-((15-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13.3333333333" + ], + "split": "train" + }, + { + "Input": "Suppose you invest $ 10,410 in equipment to manufacture a new board game . Each game costs $ 2.65 to manufacture and sells for $ 20 . How many games must you make and sell before your buisness breaks even ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(20-2.65)*x-(10410)],(x))\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "Kesha has collected the autographs of 9 more television celebrities than she has of movie stars . each tv celebrity autograph is worth $ 75 and each movie star autograph is worth $ 250 . her colection is valued at $ 2,300 . how many Tv celebrity autographs does she have ? how many of movie star autographs does she have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(9),75*x+250*y-(2300)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "Ashley won $ 5000 in a contest . She invested some of the money at 5 % simple interest and $ 400 less than twice that amount at 6.5 % . In one year , she earned $ 298 in interest . How much did she invest at each rate ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x - 400 -( y),0.01*5*x+0.01*6.5*y-(298)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "dev" + }, + { + "Input": "I have 56 coins consisting of 10-peso and 5-peso coins . If I have a total of 440.00 , how many coins of each type do I have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(56),10*x+5*y-(440)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "At the beginning of the Alay Lakad , Rizza and Angel are 30 km apart . If they leave at the same time and walk in the same direction , Rizza overtakes Angels in 60 hours . If they walk towards each other , they meet in 5 hours . What are their speeds ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x+5*y-(30),60*x-60*y-(30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3.25" + ], + "split": "train" + }, + { + "Input": "Joan can shovel a certain driveway in 50 minutes . If mary can shovel the same driveway in 20 minutes , how long will it take them , to the nearest minute , to shove the driveway if they work together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/50+1/20)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "14.2857142857" + ], + "split": "train" + }, + { + "Input": "A 24-ton mixture of crushed rock is needed in a construction job ; it will cost $ 800 . If the nixture is composed of rock costing $ 30 per ton and $ 40 per ton , how many tons of each should be added ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([40*x + 30*y -( 800),y-((24-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "There are 200 heads on a farm and 540 feet . How many cows -LRB- 4 legs -RRB- and how many chickens -LRB- 2 legs -RRB- are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(200),4*x+2*y-(540)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "test" + }, + { + "Input": "A freight train and an express train leave towns 390 km apart , traveling toward one another . The freight train travels 30 km per hr slower than the express train . They pass one another 3 hr later . What are their speeds ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 3*y -( 390),x-y-(30)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "One number is four times another number . The greater of the two numbers is 20 less than three times the difference between the two numbers . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y),3 *( y - y ) - 20 -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "Two mechanics worked on a car . The first mechanic worked for 10 hours , and the second mechanic worked for 5 hours . Together they charged a total of $ 1150 . What was the rate charged per hour by each mechanic if the sum of the two rates was $ 160 per hour ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(160),10*x+5*y-(1150)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "It took you 6 hrs to travel to town , and it took you 8 hrs to travel back , because your return trip speed was 10 mph less than the outgoing speed . What was your return trip speed ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y-10),8*y -( 6*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "One number is eight less than five times another . If the sum of the two numbers is 28 , find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),x-(5*y-8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 20 . Three times one number is equal to twice the other number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x -( 2*y),y-((20-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "A pet store sold dogs and parakeets . They counted 15 heads and 42 feet . How many dogs were there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),2*y+4*x-(42)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "The difference in the age of two girls is 1 year . The sum of their ages is 27 . What are their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(1),x+y-(27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "How many pounds of lima beans that cost $ 0.90 per pound must be mixed with 16 pounds of corn costs $ 0.50 per pound to make a mixture of vegetable that costs $ 0.65 per pound ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([.90*x+.50*(16)-(.65*(16+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "9.6" + ], + "split": "train" + }, + { + "Input": "A bank teller notices that he has 50 coins all of which are 5c and 10c pieces . He finds that the value of the coins is $ 4.20 . How many of each must he have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(50),0.05*x + 0.10*y -( 4.20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "In 22 years , Alexis ' age will be two hundred ninety-seven less than four times the age of Alyssa . Alexis ' age is one hundred sixty-two less than three times the age of Alyssa . What are their ages ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 22 -( 4 *( y + 22 ) - 297),x -( 3*y - 162)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "For Monday mornings staff meeting , Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $ 9.75 -LRB- excluding sales tax -RRB- . For Fridays meeting , he bought 4 bags of bagels and 2 packages of cream cheese and paid $ 12.50 -LRB- again , excluding sales tax -RRB- . How much do bags of bagels and packages of cream cheese cost ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x + 3*y -( 9.75),4*x + 2*y -( 12.50)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "dev" + }, + { + "Input": "A motor boat takes 5 hrs to travel 300 mi going upstream . The return trip takes 2 hrs . going downstream . What is the rate of the boat in still water and what is the rate of the current ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([300-(5*(x-y)),300-(2*(x+y))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 36 . If the larger is divided by the smaller , the quotient is 2 and the remainder is 3 . Find the numbers . Please help .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),x-2*y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "Bobbys treatment paint store sells a special shade of pink paint which is made from red and white paint . The amount of red paint needed is three times the amount of white . How much of each kind is needed to make 80 gallons of Bobbys paint .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(80),y-(3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "Twice the larger number is three times the smaller , and their sum is 20 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x -( 3*y),x+y-(20)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "How many scoops of natural seedless raisens costing $ 3.45 per scoop must be mixed with 20 scoops of golden seedless raisens costing $ 2.55 per scoop to obtain a mixture costing $ 3 per scoop ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3.45*x+2.55*(20)-(3*(20+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "A mixture of 10 % acid and 90 % water is added to 5 liters of pure acid . The final mixture is 40 % water . How many liters of water are in the final mixture ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(0.01*90)*x+5-((0.01*40)*(x+5))],(x))\nprint(answer)" + ], + "Output Answer": [ + "-6" + ], + "split": "train" + }, + { + "Input": "The sum of the digits of a certain 2-digit number is 13 . When you reverse the number , the new number is 9 less than the original number . The difference between the 2 digits is 1 . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(13),10*y + x + 9 -( 10*x + y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "five times the difference of a number and one yields the same result as twice the same number increase by three . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5*(x-1)-(2*x+3)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.66666666667" + ], + "split": "train" + }, + { + "Input": "the sume of two numbers is 28 , their difference is 2 . what are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),x-y-(2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "Two number differ by 10 . The larger number is 6 less than twice the smaller number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+10),y -( 2*y - 6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "Maria is now four times as old as Kate . Four years ago , Maria was six times as old as Kate . Find each of their actual ages now .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y -( 4*y),y - 4 -( 6 *( y - 4 ))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "A cattle train left Abuja traveling west six hours before a diesel train . The diesel train traveled in the opposite direction going 33 mph slower then the cattle train for 12 hours after which time the trains were 1284 mi . apart . What was the cattle trains speed ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 12 + 6 ) *x + ( 12 ) *y -( 1284),y-((x-33))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "Suppose that you have entered a 90-mile biathlon that consists of a run and bicycle race . During your run , your average rate is 7 mph and during your bicycle race , your average rate is 26 mph . You finish the race in 5 hours . What is the distance of the run and what is the distance of the bicycle race ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([7*x + 26*y -( 90),y-(5-x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.10526315789" + ], + "split": "test" + }, + { + "Input": "Randy Howard can type a paper in 30 minutes . His sister candy can type the same paper in 45 minutes . How many minutes will it take them if they type the paper together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 30 + 1 / 45 ) *x -( 1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "Stan invested $ 5,000 , part at 8 % and part at 17 % . If the total interest at the end of the year is $ 490 , how much did he invest at 8 % ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*8*x+0.01*17*y-(490),x+y-(5000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "test" + }, + { + "Input": "Train A , traveling 70 mph , leaves West heading toward East , 260 miles away . At the same time Train B , traveling 60 mph , leaves East heading toward West . When do the Two trains meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(70+60)-(260)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "$ 8.85 worth of quarters and dimes . there are only 45 coins . how many quarters . how many dimes", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.25*x+0.10*y-(8.85),y-((45-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "test" + }, + { + "Input": "An alloy of metals is 25 % copper . ANother alloy is 50 % copper . how much of each alloy should be used to make 1000 grams of an alloy that is 45 % copper ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*25*x+0.01*50*y-(0.01*1000*45),x+y-(1000)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "If you sold one half of your tickets and gave away one quarter of the rest . It would equal 3,600 tickets . How many did you have in the beginning ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.5*x + 0.25 * 0.5 * x -( 3600)],(x))\nprint(answer)" + ], + "Output Answer": [ + "5760" + ], + "split": "train" + }, + { + "Input": "A boat traveled 96 miles in 8 hours against the current . The boat returned to its starting point following the saame course traveling with the current . The return trip took 5 hours . What is the speed of the current and the speed of the boat in still water ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([5*x+5*y-(96),8*x-8*y-(96)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15.6" + ], + "split": "train" + }, + { + "Input": "Jenna is 5 years older than Darius . The sum of their ages is 21 years . How old are Jenna and Darius ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+5),y+y-(21)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "If positive number is 5 less than another positive number . Six times lesser number minus 3 times the greater number is 3 . Find the 2 positive numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+5),6*y-3*y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "A person traveling 4 hours by plane and 25 hours by ship covers 1580 miles . If the speed of the plane had been half of the actual speed and the speed of the ship had been a quarter greater , the person would have traveled only 1315 miles in the same length of time . Find the speeds of the plane and the ship .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([4*x + 25*y -( 1580),4 *( .5*x ) + 25 *( 1 + 0.25*y ) -( 1315)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "895" + ], + "split": "train" + }, + { + "Input": "andy is 6 years older than tom . the sum of their ages is 26 . how old are they ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(26),y-(x+6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "in a school the number of male teacher is twice the number of female teacher . if total number of teacher is 45 , find the number of female teacher .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y+y-(45),y -( 2*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "nine times a two digit number is the same as twice the number obtained on interchanging the digits of the number.If one digit of the number exceeds the other by 7 , find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([9*(10*x+y)-(2*(10*y+x)),y-x-(7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "test" + }, + { + "Input": "If one integer is added to another and it equals -9 , and if the smallest is subtracted from the largest and it equals 1 than what would be the integers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(-9),x-y-(1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-5" + ], + "split": "dev" + }, + { + "Input": "If Jen 's current age is 32 and Devin 's current age is 6 . Write an equation which models how old , in years , Jen will be when she is 3 times as old as Devin .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([32 + x -( 3 *( 6 + x ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "Plane A and Plane B are 500 kilometres apart and flying towards each other . If plane A is travelling at a constant speed of 240 k/m and plane B is travelling at a constant speed of 360 k/m when will the planes meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 240 ) *x -( 500 - ( 1 / 360 ) *x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "72000" + ], + "split": "train" + }, + { + "Input": "The sum of two consecutive odd integers is at least 36 . What are the integers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),x-y-(2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "Sam is 10 years older than Jack . Twice Sam 's age subtracted from 6 times jack 's age is 7 more than Jack 's age . find both sam and jack 's age .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x - 2*y -( x + 7),y-((x+10))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "Tom is 4 times as old as Todd . In 7 years Tom 's age will be 5 years less than 3 times as old as Todd . How old is Todd ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 4*y),( x + 7 ) -( 3 *( y + 7 ) - 5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "One number is one-third of another number . The sum of the two numbers is 1 less than twice the larger number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(0.33333*y),y + y -( 2*y - 1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.49999250004" + ], + "split": "test" + }, + { + "Input": "The difference of four times a number and seven times the number is 9 .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([7*x-4*x-(9)],(x))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the sum of two numbers is 94 , and the larger number is 5 less than twice the smaller number . find the numbers", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(94),2*x-(y+5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "61" + ], + "split": "train" + }, + { + "Input": "How many liters of a 40 % sulfuric acid solution should be mixed with 4 liters of a 24 % sulfuric acid solution to produce a 30 % solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*40*x+0.01*24*(4)-(0.01*30*(x+4))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "Two brothers boll and eric are 4 years apart and bill is the oldest one . If the sum of the boys age is 28 , how old is bill and eric ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(4),x+y-(28)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "Adam can paint a house in 5 hours . Audrey can paint the same house in 6 hours . If they work together how long will it take to paint the house ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/5+1/6)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.72727272727" + ], + "split": "dev" + }, + { + "Input": "Wal-Mart sells thermometers -LRB- $ 2 -RRB- and hot-water bottles -LRB- $ 6 -RRB- . In December , Wal-Mart 's total sakes were $ 1200 . Customers bought 7 times as many thermometers as hot-water bottles . How many of each did Wal-Mart sell ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([6*x+2*y-(1200),y -( 7*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "The sum of 2 digits is 248 . Their difference is 64 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(248),x-y-(64)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "92" + ], + "split": "train" + }, + { + "Input": "son is 4 times younger than dad . son difference to dad is 27 . how old is the son and dad ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 4*y),x-y-(27)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "jack is three times as old as Jill the total of their ages is 72 . Find the age of each person", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(72),y -( 3*x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "one number is five more than four times another . Their sum is 35 . Find the two numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(35),y-4*x-(5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "dev" + }, + { + "Input": "Monica is one year older than twice her sister 's age . The difference of their ages is 18 . Find theor present ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y + 1),x-y-(18)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "Two cars start from the same point and travel in opposite directions with speeds of 45 and 60 miles per hour respectively . In how many hours will they be 490 miles apart ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([(45+60)*x-(490)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.66666666667" + ], + "split": "train" + }, + { + "Input": "One number is two times another . Eight times the smaller is two more than twice the larger number . What are the two numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 2*y),8*y -( 2*x + 2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": ": One number is nine less than another . Their sum is twenty-seven .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(27),x-y-(9)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "An older person is 7 years older than four times the age of a younger person . The sum of their ages is 27 . Find their ages .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(27),y -( 4*x + 7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "The difference of two positive integers is 34 . The larger of the numbers is three times the smaller . What are these numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-y-(34),y-(3*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "the sum of two angles is 178 . one angle is 26 less than twice the other . find the angles .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x-26-(y),x+y-(178)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "train" + }, + { + "Input": "Rita Rowen can paddle her canoe up river at 3 miles per hour and she can paddle her canoe down the river at 9 miles per hour . She started from her home and paddled up stream to the ice cream parlor and immediately realizes she forgot her money . So she then paddled back home -LRB- downstream -RRB- , If the entire trip , up stream and back took her 8 hours , how far up stream was the ice cream parlor from her home ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([( 1 / 3 ) *x + ( 1 / 9 ) *x -( 8)],(x))\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a minor league baseball team plays 130 games in a season . if the team won 14 more than three times as many games as they lost , how many wins and losses did the team have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(130),x-3*y-(14)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "101" + ], + "split": "dev" + }, + { + "Input": "A cement manufacturer buys limestone for $ 3 per pound and a special shale mix for $ 5 per pound . The two ingredients are mixed into a 100-pound compound that cost $ 4.25 per pound . How much limestone and how much of the shale mix should be added into the compound ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+5*y-(4.25*(100)),y-((100-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "37.5" + ], + "split": "train" + }, + { + "Input": "Twice the larger of the two numbers is three more than five times the smaller , and then the sum of four times the larger and three times the smaller is 71 . What are the nos . ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x-(3+5*y),4*x+3*y-(71)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "How many pounds of pecans , sold at $ 5.60 per pound would be mixed with 2 pounds of cashews , sold at $ 3.50 to create a mixture that sells for approximately $ 4.34 per pound ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5.60*x+3.50*(2)-(4.34*(x+2))],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.33333333333" + ], + "split": "train" + }, + { + "Input": "A two digit number is 7 times its unit digit . If 18 is added to the number , its digits are reversed . Find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([10*x+y+18-(10*y+x),10*x+y-(7*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Two angles are supplementary . The measure of the second angle is 45 degrees less than two times the measure of the first angle . Find the measure of each angle .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(180),2*x - 45 -( y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(24),7*x+5*y-(146)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "dev" + }, + { + "Input": "A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B . If the rate of flow through A is 2 gallons per hour , how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([96*(x-2)-(64)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.66666666667" + ], + "split": "dev" + }, + { + "Input": "erin and susan both took their dogs for a walk . together they walked 15 miles . if erin walked 3 miles less than susan , how far did susan walk with her dog ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(15),x-3-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "a machine company has an incentive plan for its salesperson . For each machine that a salesperson sell , the commission is $ 40 . The commission for every machine sold will increase by $ 0.04 for each machine sold over 600 . How many machines must salesperson sell in order to earn $ 30,800", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([30800-(40*x+0.04*(x-600))],(x))\nprint(answer)" + ], + "Output Answer": [ + "769.83016983" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 10 . Three times one of them is more than four times the second by 2 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(10),3*x-(4*y+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "Danielle drove from school to home averaging 20 mph . On the way back to school she averaged 30 mph . If the total driving time was 1.5 hours , how long did it take her to drive each way .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1.5),20*x-(30*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.9" + ], + "split": "test" + }, + { + "Input": "A new virus is released on the internet ; the administrator of a department 's Local Area Network -LRB- LAN -RRB- is given five minutes by a manager to estimate the impact . The administrator samples 15 of the PCs connected to the LAN , and finds that 9 are infected ; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([15*x -( 9 * ( 202 ))],(x))\nprint(answer)" + ], + "Output Answer": [ + "121.2" + ], + "split": "train" + }, + { + "Input": "Jolene bought three blouses at one price and 2 blouses priced $ 3 below the others . The total cost was $ 91.50 . Find the prices of the blouses .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x+2*(y)-(91.50),x-y-(3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "19.5" + ], + "split": "dev" + }, + { + "Input": "The sum of two numbers is 64 . Two more than twice the larger number is five less than seven times the smaller . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(64),2*x+2-(7*y-5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "test" + }, + { + "Input": "if a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours , the rate of the river and the rate of the boat in still wtaer respectively are ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*(x+y)-(72),6*(x-y)-(60)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "An employee is paid $ 11.25 per hour for the first 40 hours and $ 16 for each additional hour . During the first week on the job , the employee 's gross pay was $ 622 . How many hours of overtime did the employee work ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([11.25*40+16*x-(622)],(x))\nprint(answer)" + ], + "Output Answer": [ + "10.75" + ], + "split": "train" + }, + { + "Input": "A cyclist traveled at a rate of 32 MPH to visit a nearby town . The cyclist averaged 10 MPH on the return trip . If the round trip took 6.3 hours , find the distance to the nearby town .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(6.3),32*x-(10*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "The sum of the digits of a two-digit number is 14 . If the digits are reversed , the number is 18 less than the original number . Find the original number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(14),10*x+y-18-(10*y+x)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "A merchant blends tea that sells for $ 4.25 a pound with tea that sells for $ 1.95 a pound to produce 80 lb of a mixture that sells for $ 2.75 a pound . How much of each was added ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(80),4.25*x+1.95*y -( 80 * 2.75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "27.8260869565" + ], + "split": "test" + }, + { + "Input": "juan drives to work . because of traffic conditions , he averages 22 miles per hour . he returns home averaging 32 miles per hour . the total travel time is 2.25 hours . how do i do this equation ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(2.25),22*x-(32*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "1.33333333333" + ], + "split": "test" + }, + { + "Input": "The owner of a store wants to make a 30-pound mixture of two candies to sell for $ 3 per pound . If one candy sells for $ 2.95 per pound and the other for $ 3.10 per pound , how many pounds of each should be used ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(30),2.95*x + 3.10 * y -( 30 * 3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "In a chemistry class , 5 liters of 4 % silver solution must be mixed with a 10 % solution to get a 6 % solution . How many liters of the 10 % solution are needed ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([.01*4*(5)+.01*10*x-(.01*6*(5+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "twice the sum of 4 and 3 times some number is 34 . what is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([2*(3*x+4)-(34)],(x))\nprint(answer)" + ], + "Output Answer": [ + "4.33333333333" + ], + "split": "dev" + }, + { + "Input": "A wholesale outlet has 2 grades of coffee , one selling at 8 $ / KG & the other 10 $ / KG . Sam wants to mix the 2 grades together . he wants to make 200 KG of the mixture & sell it for $ 8.75 / KG . How much of each grade should be mixed ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(200),8*x+10*(y)-(200*8.75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "test" + }, + { + "Input": "If 19 is subtracted from 4 times a number , the result is 73 . Find the number", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([4*x-19-(73)],(x))\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "A piggy bank contains $ 19.75 in quarters and dimes equaling a 100 coins in all . How many dimes are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([.10*x+.25*y-(19.75),x+y-(100)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "A large tank contains 100 gallons of pure water . How many gallons of a saline solution containing 25 % salt must be added to obtain a solution that has 10 % salt ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([25*x-(10*(x+100))],(x))\nprint(answer)" + ], + "Output Answer": [ + "66.6666666667" + ], + "split": "train" + }, + { + "Input": "The smaller of two consecutive even integers is five more than one half of the greater .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+2),y+y-(5+(0.5)*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.66666666667" + ], + "split": "train" + }, + { + "Input": "A man bought 7 pounds of coffee and 10 pounds of butter for a total of $ 58.50 . A day later , the prices had not changed and he bought 7 pounds of coffee and 5 pounds of butter for $ 39.75 . Find the price per pound of the butter .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([7*x+10*y-(58.5),7*x+5*y-(39.75)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "Dheo paid his grocery bill of 285 pesos with 20-peso bills and 5-peso coins . If he paid 24 bills and coins all in all , how many had he of each kind ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(24),20*x+5*y-(285)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "Grant is thinking of two numbers . He says that one of the numbers is six times the other number decreased by 2 and the sum of the numbers is 25 . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(25),6*x-2-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "3.85714285714" + ], + "split": "dev" + }, + { + "Input": "Anne and Nancy use a metal alloy that is 15 % copper to make jewelry . How many ounces of 10 % alloy must be mixed with a 21 % alloy to form 121 ounces of the desired alloy ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*10*x+0.01*21*(y)-(0.01*15*121),x+y-(121)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "Nutrition : One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 185 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 452 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([2*x+3*y-(452),x+y-(185)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "103" + ], + "split": "dev" + }, + { + "Input": "Juan made a 2 L of lemonade that consists of 40 % pure lemon juice . How much water must he add to dilute it to 30 % lemon juice ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*40*2-(x*0.01*30 + 2*0.01*30)],(x))\nprint(answer)" + ], + "Output Answer": [ + "0.666666666667" + ], + "split": "test" + }, + { + "Input": "Tom has 12 coins in quarters and nickels . Their value is $ 2.20 . How many coins of each type does he have ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([.05*x+.25*y-(2.20),y-((12-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "A father is now twice as old as his daughter . 10 years ago he was 3 times as old as her . How old are they both now ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(2*y),(x-10)-(3*(y-10))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "In one city , taxi company A charges $ 5 plus $ .35 / km travelled . Taxi company B charges $ 3.50 plus $ .50 / km .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5+0.35*x-(3.50+0.5*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "The length of a rectangle is 7.6 cm more than 3 times the width . If the perimeter of the rectangle is 56.8 cm , what are its dimensions ? I needed help setting up this problem & answering it", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x -( 7.6 + 3*y),2*(x+y)-(56.8)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "23.2" + ], + "split": "test" + }, + { + "Input": "A person is chosing between 2 cellular phone plans . One has a monthly fee of $ 50 for 500 minutes plus $ 0.35 for each minute over the 500 . The second plan has a monthly fee of $ 75 for 1000 minutes plus $ 0.45 for each minute over the 1000 . After how many minutes used are the monthly costs of the plans equal ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([50+0.35*(x-500)-(75+0.45*(x-1000))],(x))\nprint(answer)" + ], + "Output Answer": [ + "2500" + ], + "split": "dev" + }, + { + "Input": "It takes 12 hours to fill a swimming pool using two pipes . If the pipe of larger diameter is used for 4 hours and the pipe with smaller diameter for 9 hours , only half the tank is filled . How long would it take for each pipe to fill the pool separately ? Please help !!!", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(1/12),4*x+9*y-(0.5)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.05" + ], + "split": "test" + }, + { + "Input": "A 14 % ETHANOL SOLUTION IS TO BE MIXED WITH A 45 % ETHANOL SOLUTION TO PRODUCE A FINAL SOLUTION WHICH IS 30 % ETHANOL . IF THE FINAL SOLUTION IS 100 GALLONS . FIND THE AMOUNT OF EACH SOLUTION NEEDED FOR DELISHA TO MIX .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*45*x+0.01*14*y-(30),x-(100-y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "51.6129032258" + ], + "split": "train" + }, + { + "Input": "Mike is a chemist . He needs to prepare 36 ounces of 13 % hydrochloric acid solution . Find the amount of 18 % solution and amount of 9 % solution he should mix to get this solution .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(36),x*0.01*18+y*0.01*9-(36*0.01*13)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "suppose you have entered a 155 mile biathlon that consists of a bicycle race and a running race . during your run your velocity is 10 miles per hour and during your bicycle race your velocity is 29 miles per hour . you finish the race in 6 hours . what is the distance of your run ? what is the distance of your bicycle race ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(155),(1.0/10)* x+(1.0/29) * y-(6)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a two digit number is 6 times the sum of its digits . the tens digit is 1 more than the units digit . find the number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([( 10*x + y ) -( 6 *( x + y )),x-(y+1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "If Sally can paint a house in 4 hours , & John can paint the same house in 6 hours , how long will it take for both of them to paint the house together ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/4+1/6)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "The length of a rectangle is 3m longer than its width . If the perimeter of the rectangle is 34m , find its width and length .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([y-(y+3),2*(y+y)-(34)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "Jason La Rue can shampoo the carpet on the main floor of the Sheraton Hotel in 3 hours . Tom Lockheart can shampoo the same carpet in 6 hours . If they work together , how long will it take them to shampoo the carpet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(1/3+1/6)-(1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "the sum of two digits of a natural number is 7 . when the digits are reversed , the number is increased by 27 .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x + 10*y - 10*x - y -( 27),x+y-(7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "The sum of 3 times a number and 4 times another number is 43 . Five times the first number is 3 less than four times the opposite of the second number . Find the numbers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 4*y -( 43),5*x-(-1*4*y-3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "-23" + ], + "split": "dev" + }, + { + "Input": "sum of 800 is in the denominatiom of rs 10 and rs 20 if total no of notes be 50 fund the no of noets of each type", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(10)*(x)+y*(20)-(800),y-((50-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "Anna is 54 years old and her mother , Clara is 80 . How many years ago was her mother , three times the age of her daughter , Anna ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([80-x-(3*(54-x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "41" + ], + "split": "train" + }, + { + "Input": "A basketball team played 62 games . They won 28 more than they lost . How many did they win how many did they lose ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(62),x-(y+28)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "There is a number such that three times the number minus 6 is equal to 45 . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([3*x-6-(45)],(x))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "The number of cats in the United States exceeds the dog population by 7.5 m . The number of cats and dogs combined is 114.7 m . Determine the number of dogs and cats in the United States .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-(y+7.5),x+y-(114.7)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "61.1" + ], + "split": "test" + }, + { + "Input": "The sum of two numbers is 9 . The greater number is 3 more than twice the lesser number . What are the numbers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(9),y -( 2*x + 3)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "it takes 6 quarts of feul for a pilot to fly 1000 miles . How many quarts are needed for 2500 miles .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([1000*x -( 2500 * 6)],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "U-Haul charges a daily fee plus a mileage charge to rent a truck . Jennifer rented a truck with U-Haul and was charged $ 132 for 3 days rental and 150 miles driven . Nigel was charged $ 142 for 2 days rental and 400 miles driven . Set up a system of linear equations to determine the daily fee and the mileage charge for renting a truck with U-Haul .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([3*x + 150*y -( 132),2*x + 400*y -( 142)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "What quantity of 60 percent acid solution must be mixed with a 30 percent solution to produce 630 mL of a 50 percent solution ? Im not too sure where to begin maybe make a table ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*60*x+0.01*30*y-(630 * 0.01 * 50),y-((630-x))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "420" + ], + "split": "train" + }, + { + "Input": "If the sum of two numbers is 120 , and thier difference is 42 , find the smaller number .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(42),x+y-(120)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "81" + ], + "split": "dev" + }, + { + "Input": "The sum of two consecutive whole numbers is 27 . Find the numbers .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x+(x+1)-(27)],(x))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "dev" + }, + { + "Input": "When the smaller of two consecutive integers is added to three times the larger , the result is 39 . Find the integers .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+3*y-(39),y-x-(1)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "How do you set up the following problem ? The cost of 40 lb of sugar and 16 lb of flour is $ 26 , as is the cost of 30 lb of suger and 25 lb of flour . Find the cost per pound of each item .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([40*x + 16*y -( 26),30*x + 25*y -( 26)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "0.45" + ], + "split": "train" + }, + { + "Input": "If 15 is subtracted from a certain number , we are left with 0.8333333 of the number . What is the number ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x-15-(0.8333333*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "89.999982" + ], + "split": "train" + }, + { + "Input": "a man is 30 years old while his daughter is 4 years old . In how many years ' time will the daughter be half the age of her father ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.5*(30+x)-((4+x))],(x))\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "test" + }, + { + "Input": "How many liters of a 65 % acid solution must be added to 12 liters of a 20 % acid solution to produce a 38 % acid solution ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.01*65*x+0.01*20*12-(0.01*38*(x+12))],(x))\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a wire 180 cm long is to be cut into two parts so that one part is 32 cm longer than the other . how long is ech part ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(180),x-(y+32)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "106" + ], + "split": "train" + }, + { + "Input": "In the lab , Chang has two solutions that contain alcohol and is mixing them with each other . He uses 500 milliliters less of Solution A than Solution B. Solution A is 16 % alcohol and Solution B is 10 % alcohol . How many milliliters of Solution A does he use , if the resulting mixture has 76 milliliters of pure alcohol ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([0.01*10*x+0.01*16*y-(76),(x-500)-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "You are saving money to buy a set of DVDs that cost $ 75 . You have $ 20 saved . If the amount left to save is x , write an equation to represent the problem . Then solve .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([20+x-(75)],(x))\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "test" + }, + { + "Input": "I subtract 13 from a certain number and then divided the result by 3 . The result is the same as adding 3 to the number and then dividing by 5 . Find the number", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([5*(x-13)-(3*(x+3))],(x))\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "dev" + }, + { + "Input": "4 litres of a 4 % solution must be mixed with a 10 % solution to get a 6 % solution . How many litres of the 10 % solution are needed ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*(0.01*10)+4*0.01*4-((4)*.01*6 + x * 0.01 * 6)],(x))\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "Two trains start from towns 192 miles apart and travel toward each other on parallel tracks . They pass each other 1.6 hour later . if one train travels 10 mph faster then the other find the speed of each train", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-y-(10),(x+y)*1.6-(192)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "A bottle of wine with a cork cost $ 2.10 . A bott of wine without a cork costs $ 2.00 more than the cork . What is the price of the cork ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(2.10),x-(y+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "2.05" + ], + "split": "train" + }, + { + "Input": "One-third of a number of two digits is greater than one-fourth of its successor by 1 . Find the number .", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([0.3333333432674408*x-(0.25*(x+1)+1)],(x))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "Howard and Rineville are 100 miles apart . One train leaves Howard traveling towards Rineville at an average speed of 30 mph . Another train leaves Rineville at the same time traveling towards Howard at an average speed of 45 mph . How long will it take them to meet ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([100-(x*(30+45))],(x))\nprint(answer)" + ], + "Output Answer": [ + "1.33333333333" + ], + "split": "train" + }, + { + "Input": "you will mix 80 % acetone with 30 % acetone to make 40 ml of 50 % acetone.how much of each starting solution do you need ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(0.01*80)*x+(y)*0.01*30-((40)*0.01*50),x+y-(40)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "Five years ago , Sam was four times as old as John , and in five years he will be twice as old as John . Find the present ages of each .", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([(x-5)-(4*(y-5)),(x+5)-(2*(y+5))],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "The number of boys in a class is 5 less than twice the number of girls . The class size is 28 . How many boys are there ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(28),(2*x-5)-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "it takes 8 tractors 12 days to plough a field , how long would it take 15 tractors ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([8*12-(15*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "6.4" + ], + "split": "train" + }, + { + "Input": "A particular style of pants cost the retailer $ 80 per pair . At what price should the retailer mark them so he can sell them at a 20 % discount off the selling price and still make 30 % profit on his cost ?", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([x*0.8-80-(80*0.01*30)],(x))\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "ana has $ 300 and ojo has $ 1860 . if ana saves $ 50 day and ojo spends $ 70 a day after how many days will they each have the same amount", + "Output Program": [ + "from sympy import *\nx = symbols('x')\nanswer = solve([300+50*x-(1860-70*x)],(x))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "The ratio of girls to boys of a dance group is 5 to 3 . There would had been equal number of boys and girls if there had been 3 more boys and 3 fewer girls . How many girls and boys are in a dance group ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x-3-(y+3),3*x -( 5*y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "A group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule . Right before the work started , they received a new piece of machinery that helped them clean 10 more acres per day than originally planned . As a result of increased productivity in the last day before the deadline they only had to clean 30 acres . How many acres of wheat did the group of farmers have to clean ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([80*x-(y),80*x+10*x- 80 - 10 +30-(y)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "The sum of two consecutive odd integers in 124 . What are the integers ?", + "Output Program": [ + "from sympy import *\nx, y= symbols('x, y')\nanswer = solve([x+y-(124),y-(x+2)],(x,y))\nprint(answer)" + ], + "Output Answer": [ + "61" + ], + "split": "train" + } + ], + "Metadata": [ + { + "Answer": 2.14285714286, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 4}]\niIndex: 397760" + }, + { + "Answer": 83, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 3, 'Value': 566.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 3, 'Value': 161.0, 'TokenId': 3}]\niIndex: 327651" + }, + { + "Answer": 14, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 22.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1.12, 'TokenId': 5}]\niIndex: 238992" + }, + { + "Answer": 1155, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 27.5, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 42.0, 'TokenId': 3}]\niIndex: 40964" + }, + { + "Answer": 38, + "Explanation": "Template: ['m = a + b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 53.0, 'TokenId': 12}]\niIndex: 936363" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 236.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 34.0, 'TokenId': 12}]\niIndex: 493569" + }, + { + "Answer": 2.72727272727, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}]\niIndex: 368342" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 11}]\niIndex: 399675" + }, + { + "Answer": 4, + "Explanation": "Template: ['10 * m + n - a * m - a * n = 0', 'm + n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 7}]\niIndex: 684020" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 62.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 6}]\niIndex: 424731" + }, + { + "Answer": 1800, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 624.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 6000.0, 'TokenId': 3}]\niIndex: 151268" + }, + { + "Answer": 1040, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2860.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'e', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 4}, {'coeff': 'f', 'SentenceId': 1, 'Value': 2990.0, 'TokenId': 7}]\niIndex: 385266" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * m = -1 * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 8}]\niIndex: 243085" + }, + { + "Answer": 4700, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 9.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 4, 'Value': 617.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 3, 'Value': 1500.0, 'TokenId': 3}]\niIndex: 203359" + }, + { + "Answer": 1, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 27}]\niIndex: 310584" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 20}]\niIndex: 306546" + }, + { + "Answer": 46.5, + "Explanation": "Template: ['a * m + a * m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 2, 'Value': 702.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 8}]\niIndex: 353830" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 669386" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 6}]\niIndex: 190835" + }, + { + "Answer": 36, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 81.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 15}]\niIndex: 748694" + }, + { + "Answer": 4.25, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 17.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}]\niIndex: 349390" + }, + { + "Answer": 21, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 47.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 10}]\niIndex: 223977" + }, + { + "Answer": 2.5, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 17}]\niIndex: 53186" + }, + { + "Answer": 78, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 140.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 11}]\niIndex: 414889" + }, + { + "Answer": 36, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}]\niIndex: 769390" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 65.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 29}, {'coeff': 'd', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 34}]\niIndex: 202906" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 2}]\niIndex: 772422" + }, + { + "Answer": 300, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.75, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 300.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 2, 'Value': 500.0, 'TokenId': 5}]\niIndex: 757472" + }, + { + "Answer": 26, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 4}]\niIndex: 468521" + }, + { + "Answer": 73, + "Explanation": "Template: ['a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 508.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 7}]\niIndex: 118870" + }, + { + "Answer": 1.71428571429, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}]\niIndex: 311042" + }, + { + "Answer": 5, + "Explanation": "Template: ['10 * m + n - a * m - a * 10 * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 9}]\niIndex: 937657" + }, + { + "Answer": 4000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 770.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9000.0, 'TokenId': 4}]\niIndex: 149172" + }, + { + "Answer": 4332, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 4, 'Value': 25.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 3, 'Value': 12.5, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 2, 'Value': 54150.0, 'TokenId': 7}]\niIndex: 178255" + }, + { + "Answer": 19, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 15}]\niIndex: 78145" + }, + { + "Answer": 400, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.5, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1950.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 450.0, 'TokenId': 6}]\niIndex: 189170" + }, + { + "Answer": 24, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 852610" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 350.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 300.0, 'TokenId': 5}]\niIndex: 378087" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.3, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 300691" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 52.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}]\niIndex: 165126" + }, + { + "Answer": 1700, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.5, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 282.5, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5000.0, 'TokenId': 6}]\niIndex: 316559" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': -13.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 7}]\niIndex: 257029" + }, + { + "Answer": 71, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 125.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 11}]\niIndex: 309519" + }, + { + "Answer": 4500, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 1, 'Value': 35.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2640.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2600.0, 'TokenId': 20}]\niIndex: 58508" + }, + { + "Answer": 75, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 0, 'Value': 88.0, 'TokenId': 10}]\niIndex: 475421" + }, + { + "Answer": 18, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 258.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 3}]\niIndex: 37441" + }, + { + "Answer": 1017.59615385, + "Explanation": "Template: ['m + 0.01 * a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1058.3, 'TokenId': 7}]\niIndex: 342861" + }, + { + "Answer": 87, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 360.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 4}]\niIndex: 380457" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 28.0, 'TokenId': 17}]\niIndex: 465528" + }, + { + "Answer": 18, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 3}]\niIndex: 240645" + }, + { + "Answer": 2000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 520.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 63962" + }, + { + "Answer": 32, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 19}]\niIndex: 574962" + }, + { + "Answer": -47, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': -42.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 52.0, 'TokenId': 7}]\niIndex: 641139" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}]\niIndex: 1441" + }, + { + "Answer": 0.5, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}]\niIndex: 856661" + }, + { + "Answer": 45, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 108.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 19.75, 'TokenId': 9}]\niIndex: 146437" + }, + { + "Answer": 4, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 11}]\niIndex: 398797" + }, + { + "Answer": 32, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 68.0, 'TokenId': 6}]\niIndex: 933584" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = -1 * a * b + c + b', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 0.75, 'TokenId': 2}]\niIndex: 88943" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.5, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 2, 'Value': 70.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 5}]\niIndex: 271714" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - n = a - b', 'c * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}]\niIndex: 431227" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.6, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 3}]\niIndex: 32599" + }, + { + "Answer": 25, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 11.25, 'TokenId': 19}]\niIndex: 45162" + }, + { + "Answer": 23, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 11}]\niIndex: 3134" + }, + { + "Answer": 203, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.75, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 372.5, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 429.0, 'TokenId': 2}]\niIndex: 4980" + }, + { + "Answer": 3, + "Explanation": "Template: ['m = 0.01 * a * b - 0.01 * a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 14}]\niIndex: 570766" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m - n = b', 'n - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 0}]\niIndex: 490196" + }, + { + "Answer": 50, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 6}]\niIndex: 379908" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 119.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 5}]\niIndex: 500182" + }, + { + "Answer": 50, + "Explanation": "Template: ['a * m = b * c - b * a']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 11}]\niIndex: 403247" + }, + { + "Answer": -76.25, + "Explanation": "Template: ['a * m - b * m = b * c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.4, 'TokenId': 31}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.5, 'TokenId': 12}]\niIndex: 452750" + }, + { + "Answer": 118.918918919, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 72.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 2, 'Value': 200.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 2, 'Value': 50.0, 'TokenId': 17}]\niIndex: 625796" + }, + { + "Answer": 45, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm + n = c - d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 83.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 0}]\niIndex: 878521" + }, + { + "Answer": 68.25, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.28, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.2, 'TokenId': 24}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 6.42, 'TokenId': 17}]\niIndex: 3281" + }, + { + "Answer": 1.2, + "Explanation": "Template: ['20 * m + 20 * n = a * b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.05, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.3, 'TokenId': 6}]\niIndex: 189327" + }, + { + "Answer": 3000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 580.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8000.0, 'TokenId': 7}]\niIndex: 72419" + }, + { + "Answer": 2.85714285714, + "Explanation": "Template: ['0.01 * a * m - m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 18}]\niIndex: 648067" + }, + { + "Answer": 1.375, + "Explanation": "Template: ['a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.6666666865348816, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.6666666269302368, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.75, 'TokenId': 6}]\niIndex: 503824" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + n = b', 'c * m - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 10}]\niIndex: 757971" + }, + { + "Answer": 0.5, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 14}]\niIndex: 266828" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 10}]\niIndex: 505087" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 15}]\niIndex: 510357" + }, + { + "Answer": 4.5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 100.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 80.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 3, 'Value': 1050.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 3, 'Value': 12.0, 'TokenId': 5}]\niIndex: 158729" + }, + { + "Answer": 3.437625, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1.25, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 0.3333, 'TokenId': 20}]\niIndex: 380534" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m + n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 155.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 89.0, 'TokenId': 6}]\niIndex: 145494" + }, + { + "Answer": 3.5, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 2}]\niIndex: 709493" + }, + { + "Answer": 29, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 419.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'e', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 18}, {'coeff': 'f', 'SentenceId': 0, 'Value': 488.0, 'TokenId': 23}]\niIndex: 696362" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 6}]\niIndex: 220494" + }, + { + "Answer": -2, + "Explanation": "Template: ['a * m - b * m = -1 * c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}]\niIndex: 255095" + }, + { + "Answer": 4000, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7200.0, 'TokenId': 3}]\niIndex: 242393" + }, + { + "Answer": -1, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 7}]\niIndex: 196622" + }, + { + "Answer": 45, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 30}, {'coeff': 'b', 'SentenceId': 0, 'Value': 150.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 4}]\niIndex: 262104" + }, + { + "Answer": 1.2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}]\niIndex: 601577" + }, + { + "Answer": 14.2105263158, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.17, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.36, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.26, 'TokenId': 10}]\niIndex: 341315" + }, + { + "Answer": 600, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1000.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 8.4, 'TokenId': 18}]\niIndex: 517486" + }, + { + "Answer": 100, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1600.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 140.0, 'TokenId': 2}]\niIndex: 651748" + }, + { + "Answer": 80, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 18}]\niIndex: 572363" + }, + { + "Answer": 5, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 19.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 4}]\niIndex: 581891" + }, + { + "Answer": 12.5, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 18}]\niIndex: 190306" + }, + { + "Answer": 12, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 22}]\niIndex: 888909" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 632051" + }, + { + "Answer": 350, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 300.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 225.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 217500.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 850.0, 'TokenId': 2}]\niIndex: 87984" + }, + { + "Answer": 45, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 107.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 17.0, 'TokenId': 12}]\niIndex: 889960" + }, + { + "Answer": 7, + "Explanation": "Template: ['10 * m + n - a * m - a * n = 0', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 4}]\niIndex: 136036" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 7}]\niIndex: 519967" + }, + { + "Answer": 6.2, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 3}]\niIndex: 19264" + }, + { + "Answer": 380, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 485.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 275.0, 'TokenId': 8}]\niIndex: 860903" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'TokenId': 0, 'Value': 3.0}, {'coeff': 'c', 'SentenceId': 1, 'TokenId': 5, 'Value': 11.0}, {'coeff': 'a', 'SentenceId': 1, 'TokenId': 8, 'Value': 5.0}, {'coeff': 'd', 'SentenceId': 0, 'TokenId': 6, 'Value': 15.0}]\niIndex: 356048" + }, + { + "Answer": 18, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 3}]\niIndex: 926441" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 28}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 17}]\niIndex: 354468" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 0}]\niIndex: 361062" + }, + { + "Answer": 24.0000960004, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.25, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 56.0, 'TokenId': 6}]\niIndex: 625848" + }, + { + "Answer": -2, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 6}, {'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 9}]\niIndex: 165256" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * m = -1 * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 15}]\niIndex: 130032" + }, + { + "Answer": 0.222222222222, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 201453" + }, + { + "Answer": 347.826086957, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20000.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 90.0, 'TokenId': 20}, {'coeff': 'e', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 14}, {'coeff': 'f', 'SentenceId': 1, 'Value': 40000.0, 'TokenId': 6}]\niIndex: 160276" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'e', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 15}]\niIndex: 353419" + }, + { + "Answer": 600, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 210.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 2, 'Value': 70.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 2, 'Value': 20.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1800.0, 'TokenId': 4}]\niIndex: 332850" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1800.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 2, 'Value': 2400.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 48000.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 3, 'Value': 21.0, 'TokenId': 4}]\niIndex: 34492" + }, + { + "Answer": 21, + "Explanation": "Template: ['a * m + b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 166.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 19.0, 'TokenId': 0}]\niIndex: 547664" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'm - d * n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'e', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 353869" + }, + { + "Answer": 60, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 140.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 340.0, 'TokenId': 4}]\niIndex: 337560" + }, + { + "Answer": 100, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.6, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.9, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 350.0, 'TokenId': 3}]\niIndex: 331707" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 21}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 25}]\niIndex: 513398" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 4, 'Value': 74.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 4, 'Value': 53.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 4, 'Value': 42.0, 'TokenId': 19}, {'coeff': 'd', 'SentenceId': 4, 'Value': 63.0, 'TokenId': 23}]\niIndex: 11328" + }, + { + "Answer": 21, + "Explanation": "Template: ['m - a * n = b', 'c * n + d * m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 10}, {'coeff': 'e', 'SentenceId': 1, 'Value': 10.15, 'TokenId': 4}]\niIndex: 659592" + }, + { + "Answer": 1.75, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 48.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 140.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 240.0, 'TokenId': 15}]\niIndex: 464453" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.37, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.88, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.49, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 3}]\niIndex: 909107" + }, + { + "Answer": 19, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}]\niIndex: 402548" + }, + { + "Answer": 0.133333333333, + "Explanation": "Template: ['a * m + a * n = b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 21}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 271889" + }, + { + "Answer": 18, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 37.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.06, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 12}]\niIndex: 47869" + }, + { + "Answer": 19, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 95.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 226009" + }, + { + "Answer": 6.20689655172, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.8, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 180.0, 'TokenId': 16}]\niIndex: 305320" + }, + { + "Answer": 27, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 3, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.5, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 43.25, 'TokenId': 4}]\niIndex: 303296" + }, + { + "Answer": 11.1, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 29.6, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 0.75, 'TokenId': 12}]\niIndex: 465620" + }, + { + "Answer": 41.0526315789, + "Explanation": "Template: ['1 / a * m + 1 / b * m + 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 130.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 150.0, 'TokenId': 16}]\niIndex: 611030" + }, + { + "Answer": 6, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 2}]\niIndex: 823460" + }, + { + "Answer": 27, + "Explanation": "Template: ['a * m + n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 57.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 6}]\niIndex: 17680" + }, + { + "Answer": 44, + "Explanation": "Template: ['m + n = a + b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 900689" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}]\niIndex: 243375" + }, + { + "Answer": 348, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 9745.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 529.0, 'TokenId': 3}]\niIndex: 757899" + }, + { + "Answer": 1000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 23}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 92.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 800.0, 'TokenId': 14}]\niIndex: 250799" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 28}]\niIndex: 839247" + }, + { + "Answer": 1.71428571429, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 14}]\niIndex: 637699" + }, + { + "Answer": 280, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 400.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 61.0, 'TokenId': 17}]\niIndex: 526733" + }, + { + "Answer": 28, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 302367" + }, + { + "Answer": 6, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 6}]\niIndex: 444464" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 180.0, 'TokenId': 5}]\niIndex: 159809" + }, + { + "Answer": 39, + "Explanation": "Template: ['m - a * n + a * m - a * n = 0', 'm + n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 91.0, 'TokenId': 7}]\niIndex: 825583" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = c - f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 37.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 22}, {'coeff': 'e', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 19}, {'coeff': 'f', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 27}]\niIndex: 5157" + }, + { + "Answer": 16, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 96.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 470898" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 56.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 6}]\niIndex: 857277" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 14}, {'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}]\niIndex: 351469" + }, + { + "Answer": 6, + "Explanation": "Template: ['m - a * m = -1 * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 16}]\niIndex: 812830" + }, + { + "Answer": 90, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 18}]\niIndex: 531348" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 35.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 500.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 2, 'Value': 12.0, 'TokenId': 3}]\niIndex: 164823" + }, + { + "Answer": 140, + "Explanation": "Template: ['m + 0.01 * a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 252.0, 'TokenId': 15}]\niIndex: 46941" + }, + { + "Answer": 388, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.25, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1422.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 754.0, 'TokenId': 8}]\niIndex: 763476" + }, + { + "Answer": 44, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 384.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 4}]\niIndex: 25081" + }, + { + "Answer": 39, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 54.0, 'TokenId': 6}]\niIndex: 499001" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m - b * m = a * c - b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15, 'TokenId': 25}, {'coeff': 'b', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 10}]\niIndex: 83082" + }, + { + "Answer": 7, + "Explanation": "Template: ['m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 2}]\niIndex: 939369" + }, + { + "Answer": 80000, + "Explanation": "Template: ['0.01 * a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5000.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1000.0, 'TokenId': 5}]\niIndex: 615363" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 33.0, 'TokenId': 7}]\niIndex: 513639" + }, + { + "Answer": 2.16, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 17.7, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'e', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'f', 'SentenceId': 2, 'Value': 15.54, 'TokenId': 18}]\niIndex: 279590" + }, + { + "Answer": 135, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 158.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 112.0, 'TokenId': 7}]\niIndex: 544767" + }, + { + "Answer": 2.28571428571, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 9}]\niIndex: 96312" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 160.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 150329" + }, + { + "Answer": 13000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.25, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 970.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 33000.0, 'TokenId': 4}]\niIndex: 321142" + }, + { + "Answer": 24, + "Explanation": "Template: ['m - n + m = a - b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 925598" + }, + { + "Answer": 350, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 300.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 225.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 217500.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 850.0, 'TokenId': 2}]\niIndex: 103365" + }, + { + "Answer": 28, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 90.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 140.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 2, 'Value': 80.0, 'TokenId': 11}]\niIndex: 519297" + }, + { + "Answer": 15.5, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 43.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 8}]\niIndex: 251790" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 250.0, 'TokenId': 7}]\niIndex: 604575" + }, + { + "Answer": 13, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 67.0, 'TokenId': 3}]\niIndex: 804723" + }, + { + "Answer": 4000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 2, 'Value': 770.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9000.0, 'TokenId': 5}]\niIndex: 143318" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - n = a + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 10}]\niIndex: 263644" + }, + { + "Answer": 4.5, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 22}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 8}]\niIndex: 384449" + }, + { + "Answer": 22.25, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 6}]\niIndex: 360099" + }, + { + "Answer": 33, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 71.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 795485" + }, + { + "Answer": 26000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.5, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4120.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 50000.0, 'TokenId': 4}]\niIndex: 179787" + }, + { + "Answer": 150, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 255.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 7}]\niIndex: 230975" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 57.0, 'TokenId': 1}]\niIndex: 515177" + }, + { + "Answer": 220, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 26}, {'coeff': 'b', 'SentenceId': 0, 'Value': 220.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 17}]\niIndex: 352130" + }, + { + "Answer": 37.5, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 0, 'Value': 250.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 11}]\niIndex: 216262" + }, + { + "Answer": 67.5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1350.0, 'TokenId': 26}, {'coeff': 'd', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 6}]\niIndex: 112096" + }, + { + "Answer": 26, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.5, 'TokenId': 13}]\niIndex: 238128" + }, + { + "Answer": 850, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 10500.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 250.0, 'TokenId': 7}]\niIndex: 314197" + }, + { + "Answer": 990, + "Explanation": "Template: ['1 / a * m - 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}]\niIndex: 426623" + }, + { + "Answer": 6, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 39.0, 'TokenId': 3}]\niIndex: 656993" + }, + { + "Answer": 44, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 67.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 4}]\niIndex: 840960" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 500.0, 'TokenId': 19}]\niIndex: 325599" + }, + { + "Answer": 18.5, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 41.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 4}]\niIndex: 279273" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.65, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 3}]\niIndex: 16650" + }, + { + "Answer": 5.40540540541, + "Explanation": "Template: ['m + 0.01 * a * n = 0.01 * b * c', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.5, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 27}, {'coeff': 'c', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 19}]\niIndex: 337071" + }, + { + "Answer": 213, + "Explanation": "Template: ['a * m + a * n = b', 'a * m - a * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6750.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6030.0, 'TokenId': 3}]\niIndex: 311966" + }, + { + "Answer": 72, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 2, 'Value': 7.0, 'TokenId': 5}]\niIndex: 25041" + }, + { + "Answer": 49, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 6}]\niIndex: 657718" + }, + { + "Answer": 35, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 56.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 6}]\niIndex: 381475" + }, + { + "Answer": 1500, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 300.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 500.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 5}]\niIndex: 358957" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + n = a - b - b', 'm - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 487014" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 2}]\niIndex: 925397" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 45.0, 'TokenId': 8}]\niIndex: 74243" + }, + { + "Answer": 13000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.25, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 970.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 33000.0, 'TokenId': 4}]\niIndex: 397886" + }, + { + "Answer": 45, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 37.0, 'TokenId': 6}]\niIndex: 267386" + }, + { + "Answer": 10, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 38.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 10}]\niIndex: 168965" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 62.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 52939" + }, + { + "Answer": 360, + "Explanation": "Template: ['m - n - 0.01 * a * n = 0', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 792.0, 'TokenId': 6}]\niIndex: 257214" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 17}]\niIndex: 517110" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * m = a * b + c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'TokenId': 13, 'Value': 0.2}, {'coeff': 'c', 'SentenceId': 1, 'TokenId': 9, 'Value': 5.0}, {'coeff': 'b', 'SentenceId': 0, 'TokenId': 10, 'Value': 45.0}, {'coeff': 'd', 'SentenceId': 0, 'TokenId': 3, 'Value': 10.0}]\niIndex: 575149" + }, + { + "Answer": 7.6, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 19.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 19}]\niIndex: 445611" + }, + { + "Answer": 22.5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1350.0, 'TokenId': 26}, {'coeff': 'd', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 7}]\niIndex: 47186" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 43.0, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 264508" + }, + { + "Answer": 1.875, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}]\niIndex: 38089" + }, + { + "Answer": 25, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 666553" + }, + { + "Answer": 42, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 53.0, 'TokenId': 4}]\niIndex: 26869" + }, + { + "Answer": 138, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 345.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 69.0, 'TokenId': 2}]\niIndex: 332591" + }, + { + "Answer": 3000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 490.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8000.0, 'TokenId': 3}]\niIndex: 320604" + }, + { + "Answer": 3, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 6}]\niIndex: 205928" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 295.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 310.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3615.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 3}]\niIndex: 70859" + }, + { + "Answer": 7, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 631883" + }, + { + "Answer": 20, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 4}]\niIndex: 314515" + }, + { + "Answer": 18, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 2, 'Value': 246.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 4}]\niIndex: 96486" + }, + { + "Answer": 25, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 53.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 202132" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * m = -1 * a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 0}]\niIndex: 830285" + }, + { + "Answer": 1.2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 15}]\niIndex: 706076" + }, + { + "Answer": 2.71875, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 68.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 348.0, 'TokenId': 23}]\niIndex: 310506" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 64246" + }, + { + "Answer": 50000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3000.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 25000.0, 'TokenId': 6}]\niIndex: 221206" + }, + { + "Answer": 240, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 320.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 17}]\niIndex: 224722" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 2}, {'coeff': 'e', 'SentenceId': 2, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'f', 'SentenceId': 2, 'Value': 27.0, 'TokenId': 16}]\niIndex: 82992" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 437200" + }, + { + "Answer": -16, + "Explanation": "Template: ['a * m - b * n = -1 * c - d', 'm - n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 9}, {'coeff': 'e', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 14}]\niIndex: 550023" + }, + { + "Answer": 29, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 6}]\niIndex: 632980" + }, + { + "Answer": 284, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.5, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1458.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 400.0, 'TokenId': 1}]\niIndex: 193385" + }, + { + "Answer": 7500, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 3, 'Value': 450.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20000.0, 'TokenId': 3}]\niIndex: 846036" + }, + { + "Answer": 800, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 2, 'Value': 256.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3000.0, 'TokenId': 6}]\niIndex: 329117" + }, + { + "Answer": 16, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 56.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 2}]\niIndex: 488434" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m = b * c - b * a']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 11}]\niIndex: 532408" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.9, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 2}]\niIndex: 940790" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 18}]\niIndex: 391881" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 2}]\niIndex: 18071" + }, + { + "Answer": 4, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': -3.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': -11.0, 'TokenId': 6}]\niIndex: 346894" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - n = 0', 'a * n - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.25, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.10000000149011612, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1.8, 'TokenId': 4}]\niIndex: 76892" + }, + { + "Answer": 3, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 3}]\niIndex: 324471" + }, + { + "Answer": 16, + "Explanation": "Template: ['m + n = a + b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 4}]\niIndex: 174433" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - 0.01 * a * n = 0', 'n - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 4}]\niIndex: 517508" + }, + { + "Answer": 100, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 300.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 9}]\niIndex: 591392" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 754345" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.85, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.15, 'TokenId': 7}]\niIndex: 526091" + }, + { + "Answer": 11000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2450.0, 'TokenId': 21}, {'coeff': 'd', 'SentenceId': 0, 'Value': 25000.0, 'TokenId': 7}]\niIndex: 127015" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 48.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 192.0, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1200.0, 'TokenId': 7}]\niIndex: 364522" + }, + { + "Answer": 120, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 288.0, 'TokenId': 12}]\niIndex: 838940" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}]\niIndex: 186463" + }, + { + "Answer": 1000, + "Explanation": "Template: ['m + 0.01 * a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1100.0, 'TokenId': 2}]\niIndex: 595935" + }, + { + "Answer": 15, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 2}]\niIndex: 113119" + }, + { + "Answer": 21, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 28.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}]\niIndex: 394667" + }, + { + "Answer": 6, + "Explanation": "Template: ['10 * m + n - a * m - a * n = 0', 'b * n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 8}]\niIndex: 82514" + }, + { + "Answer": 3.0612244898, + "Explanation": "Template: ['0.01 * a * m - m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 10}]\niIndex: 505697" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 14}]\niIndex: 294253" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 6}]\niIndex: 693217" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 7}, {'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 6}]\niIndex: 489560" + }, + { + "Answer": 48, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 140.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 44.0, 'TokenId': 9}]\niIndex: 500877" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}]\niIndex: 98951" + }, + { + "Answer": 8, + "Explanation": "Template: ['10 * m + n - a * 10 * n - a * m = -1 * b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 12}]\niIndex: 306765" + }, + { + "Answer": 27, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 330.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 3}]\niIndex: 185117" + }, + { + "Answer": 15, + "Explanation": "Template: ['1 / a * m + 1 / b * m + 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 90.0, 'TokenId': 7}]\niIndex: 227019" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 87.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 23}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4980.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 8}]\niIndex: 95395" + }, + { + "Answer": 400, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 73.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 11}]\niIndex: 85775" + }, + { + "Answer": 4.333329, + "Explanation": "Template: ['a * m - b * m = a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 78.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 72.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 2, 'Value': 0.333333, 'TokenId': 5}]\niIndex: 87012" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 23}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 17}]\niIndex: 380450" + }, + { + "Answer": 1.66666666667, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 24}, {'coeff': 'b', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 10}]\niIndex: 577716" + }, + { + "Answer": 1.09090909091, + "Explanation": "Template: ['1 / a * m + 1 / b * m + 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 19}]\niIndex: 313481" + }, + { + "Answer": 13.7, + "Explanation": "Template: ['a * m = b', 'c * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 54.8, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}]\niIndex: 676077" + }, + { + "Answer": 4.8, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 13}]\niIndex: 469478" + }, + { + "Answer": 7, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}]\niIndex: 856102" + }, + { + "Answer": 27, + "Explanation": "Template: ['m + n = a', 'm - 3 / 4 * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 63.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.0, 'TokenId': 3}]\niIndex: 425137" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 21}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 25}]\niIndex: 795333" + }, + { + "Answer": 2, + "Explanation": "Template: ['m + n = a + b', 'n - c * m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 3}]\niIndex: 381652" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.3, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 5}]\niIndex: 29278" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 100.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 2}]\niIndex: 253559" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.5, 'TokenId': 21}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.5, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9.5, 'TokenId': 5}]\niIndex: 55871" + }, + { + "Answer": 50, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 24}]\niIndex: 818244" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.44, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.56, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.8, 'TokenId': 16}]\niIndex: 75951" + }, + { + "Answer": 50, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1875.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 225.0, 'TokenId': 0}]\niIndex: 628420" + }, + { + "Answer": 55, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 2, 'Value': 500.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 3}]\niIndex: 279047" + }, + { + "Answer": 3000, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 2, 'Value': 10.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5400.0, 'TokenId': 3}]\niIndex: 164192" + }, + { + "Answer": 30.99999999, + "Explanation": "Template: ['a * m - m = -1 * b - a * c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}]\niIndex: 123895" + }, + { + "Answer": 20.3333333333, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 16}]\niIndex: 235800" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 3}]\niIndex: 894135" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 54.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}]\niIndex: 351655" + }, + { + "Answer": 2.8, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 90.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 476.0, 'TokenId': 4}]\niIndex: 379060" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 69.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 2}, {'coeff': 'e', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'f', 'SentenceId': 2, 'Value': 57.0, 'TokenId': 20}]\niIndex: 36375" + }, + { + "Answer": 240, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.8, 'TokenId': 13}]\niIndex: 102163" + }, + { + "Answer": 46, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}]\niIndex: 347438" + }, + { + "Answer": 1.2, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 9}]\niIndex: 451183" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 44.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 6}]\niIndex: 234098" + }, + { + "Answer": 8, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 3}]\niIndex: 785225" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 22}]\niIndex: 54523" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.5, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 2, 'Value': 2.75, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 10}]\niIndex: 66976" + }, + { + "Answer": 840, + "Explanation": "Template: ['1 / a * m - 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}]\niIndex: 241652" + }, + { + "Answer": 0.266666666667, + "Explanation": "Template: ['a * m + a * n = b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 2, 'Value': 16.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 357286" + }, + { + "Answer": 300, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 75.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 10.0, 'TokenId': 14}]\niIndex: 182256" + }, + { + "Answer": 47, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 89.0, 'TokenId': 9}]\niIndex: 209845" + }, + { + "Answer": 3.6, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 9}]\niIndex: 228229" + }, + { + "Answer": 67.5247524752, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.95, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.6, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 511.5, 'TokenId': 23}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 5}]\niIndex: 910488" + }, + { + "Answer": -9, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': -15.0, 'TokenId': 8}]\niIndex: 408821" + }, + { + "Answer": 1, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.4, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.2, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 2, 'Value': 4.0, 'TokenId': 9}]\niIndex: 237843" + }, + { + "Answer": 360.014400576, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 600.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.6666, 'TokenId': 5}]\niIndex: 10584" + }, + { + "Answer": -18, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': -11.0, 'TokenId': 6}]\niIndex: 220489" + }, + { + "Answer": 810, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3600.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 449482" + }, + { + "Answer": 53135, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 119626.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 13356.0, 'TokenId': 7}]\niIndex: 362962" + }, + { + "Answer": 6, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 10}]\niIndex: 34061" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 14}]\niIndex: 489266" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 81081" + }, + { + "Answer": 45, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 110.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 2}]\niIndex: 235689" + }, + { + "Answer": 2.99999835, + "Explanation": "Template: ['m - a * n = a * b + c - b', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.6666666, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 873992" + }, + { + "Answer": 300, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.5, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 500.0, 'TokenId': 2}]\niIndex: 332717" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}]\niIndex: 766430" + }, + { + "Answer": 32, + "Explanation": "Template: ['m - a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 8}]\niIndex: 512332" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}]\niIndex: 377429" + }, + { + "Answer": 65000, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25000.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 100000.0, 'TokenId': 4}]\niIndex: 5245" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - a * n = b', 'c * n + d * m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'd', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'e', 'SentenceId': 1, 'Value': 63.0, 'TokenId': 12}]\niIndex: 213151" + }, + { + "Answer": 5, + "Explanation": "Template: ['m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 39.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 3}]\niIndex: 39286" + }, + { + "Answer": 3, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 16}]\niIndex: 626669" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}]\niIndex: 923817" + }, + { + "Answer": 1700, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 2, 'Value': 52.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1900.0, 'TokenId': 6}]\niIndex: 644732" + }, + { + "Answer": 19, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 1}]\niIndex: 88929" + }, + { + "Answer": 48, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 450.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 3}]\niIndex: 5493" + }, + { + "Answer": 8, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}]\niIndex: 381197" + }, + { + "Answer": 5000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 860.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 12000.0, 'TokenId': 6}]\niIndex: 57583" + }, + { + "Answer": 14, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 2}]\niIndex: 625372" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a + b + b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 461640" + }, + { + "Answer": 25, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 300.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 18}]\niIndex: 662414" + }, + { + "Answer": 8.75, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 10}]\niIndex: 171780" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 6}]\niIndex: 185005" + }, + { + "Answer": 52, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 41.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 125.0, 'TokenId': 5}]\niIndex: 435542" + }, + { + "Answer": 8, + "Explanation": "Template: ['m + n = a + b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 654911" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * m - a * n = 0', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 5}]\niIndex: 408038" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.3, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.72, 'TokenId': 17}]\niIndex: 1431" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}]\niIndex: 410520" + }, + { + "Answer": 58, + "Explanation": "Template: ['a * m - b * m + a * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 600.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 19}]\niIndex: 333635" + }, + { + "Answer": 28, + "Explanation": "Template: ['m + n = a + b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 66.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 557387" + }, + { + "Answer": 174, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 58.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 52.0, 'TokenId': 24}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5.75, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 317.0, 'TokenId': 7}]\niIndex: 334401" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}]\niIndex: 442164" + }, + { + "Answer": 3846.15384615, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.45, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.8, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 3, 'Value': 6500.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 2, 'Value': 5000.0, 'TokenId': 16}]\niIndex: 164860" + }, + { + "Answer": 27, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 84.0, 'TokenId': 6}]\niIndex: 931639" + }, + { + "Answer": 18, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}]\niIndex: 215304" + }, + { + "Answer": 29, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 54.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 15}]\niIndex: 926067" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 136.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 17.0, 'TokenId': 22}, {'coeff': 'e', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 25}, {'coeff': 'f', 'SentenceId': 0, 'Value': 150.0, 'TokenId': 29}]\niIndex: 939015" + }, + { + "Answer": 110, + "Explanation": "Template: ['m - 0.01 * a * n = 0', 'n - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 88.0, 'TokenId': 6}]\niIndex: 296468" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * m = c * a + d * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 500.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.5, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 6}]\niIndex: 93889" + }, + { + "Answer": 20, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 33.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 3}]\niIndex: 57740" + }, + { + "Answer": 8, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 5}]\niIndex: 749732" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 170817" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 6}]\niIndex: 655012" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'TokenId': 6, 'Value': 1.0}]\niIndex: 193747" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 3, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2.5, 'TokenId': 2}]\niIndex: 231243" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.125, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 3}]\niIndex: 300683" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}]\niIndex: 82118" + }, + { + "Answer": 25, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 11.25, 'TokenId': 19}]\niIndex: 68626" + }, + { + "Answer": 5, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 10}]\niIndex: 146922" + }, + { + "Answer": -4, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 3}]\niIndex: 514217" + }, + { + "Answer": 23, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 101.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 39.0, 'TokenId': 6}]\niIndex: 103718" + }, + { + "Answer": 1.5, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 15}]\niIndex: 644819" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 39.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 11}]\niIndex: 802678" + }, + { + "Answer": 28, + "Explanation": "Template: ['m - b * n = a - c + b * c', 'm - d * n = e + f - d * f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'f', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'e', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}]\niIndex: 87029" + }, + { + "Answer": 18, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 13}]\niIndex: 553127" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.65, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 2}]\niIndex: 764629" + }, + { + "Answer": -8, + "Explanation": "Template: ['m - a * n = a * b - c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 9}]\niIndex: 663080" + }, + { + "Answer": -3, + "Explanation": "Template: ['a * m + b * n = -1 * c', 'd * m - e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'e', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'f', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 12}]\niIndex: 745643" + }, + { + "Answer": 69, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 2, 'Value': 23.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 6.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 150.0, 'TokenId': 2}]\niIndex: 680730" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 22.0, 'TokenId': 6}]\niIndex: 225986" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 33.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 3}]\niIndex: 96991" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 402685" + }, + { + "Answer": 3.75, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}]\niIndex: 109146" + }, + { + "Answer": 100, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1720.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 140.0, 'TokenId': 4}]\niIndex: 805516" + }, + { + "Answer": 50, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 0}]\niIndex: 347845" + }, + { + "Answer": 175, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 300.0, 'TokenId': 19}, {'coeff': 'd', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 6}]\niIndex: 847420" + }, + { + "Answer": 65, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 480.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 10.0, 'TokenId': 3}]\niIndex: 549719" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 3}]\niIndex: 767035" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 7}]\niIndex: 626316" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - n = 0', 'm - a * n = -1 * a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 2, 'Value': 4.0, 'TokenId': 8}]\niIndex: 873966" + }, + { + "Answer": 33.8333333333, + "Explanation": "Template: ['m - 0.01 * a * n = 1', 'm + n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 198.0, 'TokenId': 6}]\niIndex: 255691" + }, + { + "Answer": 168, + "Explanation": "Template: ['a * m - b * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 9}]\niIndex: 924793" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 500.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 4}]\niIndex: 25269" + }, + { + "Answer": 333, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 444.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 2}]\niIndex: 315071" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 0}]\niIndex: 921677" + }, + { + "Answer": 4.84848484848, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 75.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 90.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 800.0, 'TokenId': 26}]\niIndex: 151115" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.10000000149011612, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.25, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.7, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 2}]\niIndex: 801757" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 19}]\niIndex: 348571" + }, + { + "Answer": 7.5, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 2, 'Value': 20.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 2, 'Value': 15.0, 'TokenId': 19}]\niIndex: 244989" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 76.0, 'TokenId': 8}]\niIndex: 759519" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 500.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 180471" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 6}]\niIndex: 464290" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 7}]\niIndex: 852513" + }, + { + "Answer": -6, + "Explanation": "Template: ['a * m - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}]\niIndex: 146171" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m - b * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 64.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 56.0, 'TokenId': 11}]\niIndex: 323576" + }, + { + "Answer": 2, + "Explanation": "Template: ['10 * m + n - a * m - a * n = 0', 'b * n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 7}]\niIndex: 147405" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 11}]\niIndex: 914213" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 34}]\niIndex: 620188" + }, + { + "Answer": 0.095, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = 0.01 * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4000.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1250.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 28}]\niIndex: 271742" + }, + { + "Answer": 90, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 10}]\niIndex: 177699" + }, + { + "Answer": 36.0009000225, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'c * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 9}]\niIndex: 568337" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 275.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 2, 'Value': 85.0, 'TokenId': 4}]\niIndex: 838290" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + 0.01 * b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 90.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.1, 'TokenId': 10}]\niIndex: 250801" + }, + { + "Answer": 3000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.4, 'TokenId': 23}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.5, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 575.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 2, 'Value': 8000.0, 'TokenId': 6}]\niIndex: 188371" + }, + { + "Answer": 14, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 717408" + }, + { + "Answer": 8, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 17.0, 'TokenId': 10}]\niIndex: 397250" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m - n = -1 * b + a * b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 2}]\niIndex: 410551" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 6}]\niIndex: 18466" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 4}]\niIndex: 785151" + }, + { + "Answer": 2.72727272727, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}]\niIndex: 344481" + }, + { + "Answer": 14, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 23.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}]\niIndex: 4885" + }, + { + "Answer": 23, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 48.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 626277" + }, + { + "Answer": 16.000016, + "Explanation": "Template: ['a * m + a * n = b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 386766" + }, + { + "Answer": 30, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 22}]\niIndex: 451155" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 2, 'Value': 60.0, 'TokenId': 7}]\niIndex: 145072" + }, + { + "Answer": 1832, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4994.5, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 2, 'Value': 1330.5, 'TokenId': 4}]\niIndex: 771655" + }, + { + "Answer": 1, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'e', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'f', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 14}]\niIndex: 775416" + }, + { + "Answer": 75.0001875005, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.3333333432674408, 'TokenId': 2}]\niIndex: 118483" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 37.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 365.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 6}]\niIndex: 658940" + }, + { + "Answer": 250, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 19}]\niIndex: 13607" + }, + { + "Answer": 3.2, + "Explanation": "Template: ['1 / 2 * a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.5, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}]\niIndex: 294615" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = -1 * a * b - c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 174820" + }, + { + "Answer": 81, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 67.0, 'TokenId': 6}]\niIndex: 179043" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c - d', 'n - m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 82.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 11}, {'coeff': 'e', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 2}]\niIndex: 847655" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 62.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}]\niIndex: 500750" + }, + { + "Answer": 7000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3360.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 22000.0, 'TokenId': 3}]\niIndex: 117490" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 14}]\niIndex: 187526" + }, + { + "Answer": 130, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 800.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 12}]\niIndex: 91810" + }, + { + "Answer": 4.8, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 12}]\niIndex: 703856" + }, + { + "Answer": 6.2, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 60.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 2, 'Value': 40.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.4, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 4}]\niIndex: 232695" + }, + { + "Answer": 1.5, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1 - 1 / a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 33}]\niIndex: 402220" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m - b * n = b * c - a * c', 'd * m - e * n = 0']\nAlignment: [{'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 11}, {'coeff': 'e', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 13}]\niIndex: 722565" + }, + { + "Answer": 39620, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 1, 'Value': 760.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 5}]\niIndex: 397688" + }, + { + "Answer": 1.71428571429, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 17}]\niIndex: 586411" + }, + { + "Answer": 460, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 3, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 3, 'Value': 2400.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 120.0, 'TokenId': 6}]\niIndex: 333295" + }, + { + "Answer": 11, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 607061" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 72.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 5}]\niIndex: 127900" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m - b * n = b * c - a * c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 2}]\niIndex: 614351" + }, + { + "Answer": 16.9996700066, + "Explanation": "Template: ['a * m - n = -1 * b + a * b', 'm - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 4}]\niIndex: 914766" + }, + { + "Answer": 2, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 3}]\niIndex: 529224" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c', 'm + d * n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2280.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 17}, {'coeff': 'e', 'SentenceId': 1, 'Value': 128.0, 'TokenId': 7}]\niIndex: 153283" + }, + { + "Answer": 3, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}]\niIndex: 651323" + }, + { + "Answer": 6.5, + "Explanation": "Template: ['a * m - b * m = a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 65.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 6}]\niIndex: 766267" + }, + { + "Answer": 36.9230769231, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 19.95, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 4}]\niIndex: 22983" + }, + { + "Answer": 20, + "Explanation": "Template: ['m - a * n = -1 * a * b - c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}]\niIndex: 265176" + }, + { + "Answer": 32, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 15}]\niIndex: 152197" + }, + { + "Answer": 35580, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7740.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 99000.0, 'TokenId': 6}]\niIndex: 344622" + }, + { + "Answer": 120, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 22}]\niIndex: 877859" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 46.0, 'TokenId': 3}]\niIndex: 882608" + }, + { + "Answer": 700, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.5, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5050.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2200.0, 'TokenId': 5}]\niIndex: 103103" + }, + { + "Answer": 23.9998080015, + "Explanation": "Template: ['a * m - n - b * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.66666, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.25, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 3}]\niIndex: 2314" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}]\niIndex: 202248" + }, + { + "Answer": 10.5454545455, + "Explanation": "Template: ['a * m - b * m = a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 58.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 47.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}]\niIndex: 347743" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 60.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 3, 'Value': 460.0, 'TokenId': 9}]\niIndex: 369112" + }, + { + "Answer": 7500, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 24}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 885.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 18000.0, 'TokenId': 7}]\niIndex: 273158" + }, + { + "Answer": 166.666666667, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 0.8, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 3, 'Value': 0.5, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 3, 'Value': 50.0, 'TokenId': 8}]\niIndex: 907247" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 160.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 200.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 4}]\niIndex: 356918" + }, + { + "Answer": 240, + "Explanation": "Template: ['a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 720.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 600.0, 'TokenId': 4}]\niIndex: 221589" + }, + { + "Answer": 3, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 3}]\niIndex: 869966" + }, + { + "Answer": 1.4, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 35.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 6}]\niIndex: 163598" + }, + { + "Answer": 360, + "Explanation": "Template: ['m - a * n = a * b', 'c * n - m = c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 9}]\niIndex: 806144" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}]\niIndex: 666059" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 72.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.5, 'TokenId': 7}]\niIndex: 113024" + }, + { + "Answer": 80, + "Explanation": "Template: ['m + n = a + b', 'm - n = a']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 2, 'Value': 40.0, 'TokenId': 4}]\niIndex: 17610" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * m = a * c + b * c']\nAlignment: [{'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 8}, {'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 8}]\niIndex: 764839" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 47.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'e', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 2}]\niIndex: 390191" + }, + { + "Answer": 20, + "Explanation": "Template: ['m + n = a + b + b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 899154" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}]\niIndex: 557238" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 6}]\niIndex: 868277" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - e - d']\nAlignment: [{'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'e', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 7}]\niIndex: 307866" + }, + { + "Answer": 41, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 188.0, 'TokenId': 6}]\niIndex: 499968" + }, + { + "Answer": 6000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 11.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 2, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 980.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 4}]\niIndex: 74277" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 4.0, 'TokenId': 2}]\niIndex: 377852" + }, + { + "Answer": 18, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 3}]\niIndex: 427962" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 97.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 80685" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}]\niIndex: 239345" + }, + { + "Answer": 240, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 2, 'Value': 280.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 2, 'Value': 13.0, 'TokenId': 19}]\niIndex: 200033" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 2}]\niIndex: 278390" + }, + { + "Answer": 3.52941176471, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 27}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 17}]\niIndex: 438068" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 69.0, 'TokenId': 2}]\niIndex: 900788" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 17}]\niIndex: 35287" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}]\niIndex: 201570" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * n = a * b - b', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 7}]\niIndex: 880809" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 34.0, 'TokenId': 18}]\niIndex: 760914" + }, + { + "Answer": 32, + "Explanation": "Template: ['a * m - n = -1 * b + a * b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 2}]\niIndex: 741165" + }, + { + "Answer": 2520, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1260.0, 'TokenId': 3}]\niIndex: 184685" + }, + { + "Answer": 6, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.5, 'TokenId': 11}]\niIndex: 336970" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 7}]\niIndex: 101986" + }, + { + "Answer": 2, + "Explanation": "Template: ['10 * m + n - 10 * n - m - a * n - a * m = 0', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 10}]\niIndex: 340824" + }, + { + "Answer": 52, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 17.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 6}]\niIndex: 219569" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 77.0, 'TokenId': 10}]\niIndex: 408429" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 75.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 5}]\niIndex: 256371" + }, + { + "Answer": 17, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 103.0, 'TokenId': 6}]\niIndex: 311656" + }, + { + "Answer": 3, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 11}]\niIndex: 343170" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 354897" + }, + { + "Answer": 82, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 325.0, 'TokenId': 8}]\niIndex: 765427" + }, + { + "Answer": 7.2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 6}]\niIndex: 622177" + }, + { + "Answer": -33, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 5}]\niIndex: 183547" + }, + { + "Answer": 8, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 6}]\niIndex: 394149" + }, + { + "Answer": -3, + "Explanation": "Template: ['a * m - b * m = b * c - d - e']\nAlignment: [{'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 23}, {'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'e', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 16}]\niIndex: 896492" + }, + { + "Answer": 35, + "Explanation": "Template: ['m + n = a - b - b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 93.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 2}]\niIndex: 278344" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 19}]\niIndex: 394530" + }, + { + "Answer": 4, + "Explanation": "Template: ['m + n = a - b - b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 384385" + }, + { + "Answer": 74, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 372.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 1, 'Value': 165.0, 'TokenId': 21}]\niIndex: 80012" + }, + { + "Answer": 21, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 17}]\niIndex: 268393" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 94.0, 'TokenId': 7}]\niIndex: 673170" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}]\niIndex: 394552" + }, + { + "Answer": 75, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 11.25, 'TokenId': 19}]\niIndex: 78642" + }, + { + "Answer": 262.5, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 900.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 900.0, 'TokenId': 10}]\niIndex: 151179" + }, + { + "Answer": 41, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 54.0, 'TokenId': 4}]\niIndex: 256673" + }, + { + "Answer": 0.5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.5, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 25}, {'coeff': 'e', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 28}, {'coeff': 'f', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 32}]\niIndex: 503463" + }, + { + "Answer": 410, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3846.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 846.0, 'TokenId': 3}]\niIndex: 254293" + }, + { + "Answer": 108, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 96.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 11}]\niIndex: 105541" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 49.0, 'TokenId': 13}]\niIndex: 235629" + }, + { + "Answer": 360, + "Explanation": "Template: ['a * m - b * m = b * c', 'n - a * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}]\niIndex: 14971" + }, + { + "Answer": -4, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}]\niIndex: 356151" + }, + { + "Answer": 180, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 2}]\niIndex: 855236" + }, + { + "Answer": 24, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 79.0, 'TokenId': 4}]\niIndex: 356152" + }, + { + "Answer": 7.5, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 18.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 17}]\niIndex: 195539" + }, + { + "Answer": 33.3333333333, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 9}]\niIndex: 424363" + }, + { + "Answer": 15, + "Explanation": "Template: ['a / b * m + c / d * m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 20}, {'coeff': 'e', 'SentenceId': 1, 'Value': 59.0, 'TokenId': 10}]\niIndex: 515152" + }, + { + "Answer": 519, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 3, 'Value': 7.5, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 3, 'Value': 4.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 3, 'Value': 3808.5, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 2, 'Value': 750.0, 'TokenId': 2}]\niIndex: 758338" + }, + { + "Answer": 9, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 36.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 10}]\niIndex: 558275" + }, + { + "Answer": 5.83333333333, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 15}]\niIndex: 598786" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 67.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3875.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 85.0, 'TokenId': 3}]\niIndex: 704837" + }, + { + "Answer": 165, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 900.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 10}]\niIndex: 837279" + }, + { + "Answer": 4.5, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 16}]\niIndex: 353723" + }, + { + "Answer": 0.5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.75, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'e', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'f', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 13}]\niIndex: 125689" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 12}]\niIndex: 379388" + }, + { + "Answer": 28, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 5}]\niIndex: 838926" + }, + { + "Answer": 2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 13}]\niIndex: 624178" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 5}]\niIndex: 365895" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m = b + c - a * c']\nAlignment: [{'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 2}, {'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 434143" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 22.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}]\niIndex: 108337" + }, + { + "Answer": 65, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 6}]\niIndex: 631993" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 3}]\niIndex: 485518" + }, + { + "Answer": 60, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 19}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 22}]\niIndex: 250511" + }, + { + "Answer": 133, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 162.0, 'TokenId': 12}]\niIndex: 472097" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}]\niIndex: 323053" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 34.0, 'TokenId': 11}]\niIndex: 77641" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 2, 'Value': 200.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}]\niIndex: 932280" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n - a * m = -1 * b', 'm - n - c * n = -1 * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 3}]\niIndex: 127730" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = b * c', 'd * n - e * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'e', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 12}]\niIndex: 802215" + }, + { + "Answer": 4, + "Explanation": "Template: ['m + n - a * m = -1 * b', 'm - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}]\niIndex: 370467" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 3936" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 22}, {'coeff': 'b', 'SentenceId': 0, 'Value': 33.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}]\niIndex: 410834" + }, + { + "Answer": 11, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 53.0, 'TokenId': 4}]\niIndex: 156027" + }, + { + "Answer": 17.1818181818, + "Explanation": "Template: ['m - a * n = -1 * a * b - c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 11}]\niIndex: 173116" + }, + { + "Answer": 300, + "Explanation": "Template: ['a * m + a * n = b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 2, 'Value': 2700.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 13}]\niIndex: 208614" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1825.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 2, 'Value': 55.0, 'TokenId': 21}]\niIndex: 155468" + }, + { + "Answer": 13, + "Explanation": "Template: ['m - a * n = -1 * a * b - c', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 354474" + }, + { + "Answer": 13, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm + n = c - d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 2}]\niIndex: 382830" + }, + { + "Answer": 23, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 4}]\niIndex: 437713" + }, + { + "Answer": 76, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 114.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 557820" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.35, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 23.0, 'TokenId': 3}]\niIndex: 570109" + }, + { + "Answer": 480, + "Explanation": "Template: ['1 / a * m - 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 381528" + }, + { + "Answer": 21.6, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 46.4, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.2, 'TokenId': 6}]\niIndex: 376120" + }, + { + "Answer": 8, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 29.0, 'TokenId': 6}]\niIndex: 911331" + }, + { + "Answer": 48, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 28}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}]\niIndex: 307831" + }, + { + "Answer": 148, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 402.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 275.0, 'TokenId': 11}]\niIndex: 884197" + }, + { + "Answer": 90, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 840.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 130.0, 'TokenId': 1}]\niIndex: 102892" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 37.0, 'TokenId': 9}]\niIndex: 486945" + }, + { + "Answer": 6, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 929086" + }, + { + "Answer": 19, + "Explanation": "Template: ['a * m + n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 184.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 52.0, 'TokenId': 6}]\niIndex: 513521" + }, + { + "Answer": 6, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 32}]\niIndex: 276733" + }, + { + "Answer": 1200, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 300.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 400.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 2, 'Value': 7.0, 'TokenId': 7}]\niIndex: 484182" + }, + { + "Answer": 7.05882352941, + "Explanation": "Template: ['1 / a * m + 1 / b * m - 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 5, 'Value': 8.0, 'TokenId': 13}]\niIndex: 570223" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m - a * n = b', 'm - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 550.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 3}]\niIndex: 429522" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 2, 'Value': 7.0, 'TokenId': 3}]\niIndex: 927070" + }, + { + "Answer": 17, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.45, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 29.0, 'TokenId': 2}]\niIndex: 763364" + }, + { + "Answer": 1.25, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 13}]\niIndex: 225035" + }, + { + "Answer": 108, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 22}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 143.0, 'TokenId': 6}]\niIndex: 652539" + }, + { + "Answer": 4.8, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 15}]\niIndex: 418676" + }, + { + "Answer": 155, + "Explanation": "Template: ['a * m + a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 510.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 55.0, 'TokenId': 17}]\niIndex: 655720" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 2, 'Value': 4.5, 'TokenId': 7}]\niIndex: 177527" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 693814" + }, + { + "Answer": 16, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 54.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 16}]\niIndex: 757538" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 16}]\niIndex: 339147" + }, + { + "Answer": 3, + "Explanation": "Template: ['10 * m + n - a * 10 * n - a * m = -1 * b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}]\niIndex: 311373" + }, + { + "Answer": 40.5, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 54.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 587206" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 104.0, 'TokenId': 6}]\niIndex: 242101" + }, + { + "Answer": 5.45454545455, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}]\niIndex: 465648" + }, + { + "Answer": 33, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 61.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 3}]\niIndex: 413708" + }, + { + "Answer": 50, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 19}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 22}]\niIndex: 609155" + }, + { + "Answer": 330, + "Explanation": "Template: ['a * m - b * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 23}, {'coeff': 'b', 'SentenceId': 1, 'Value': 44.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 120.0, 'TokenId': 7}]\niIndex: 279165" + }, + { + "Answer": 3, + "Explanation": "Template: ['10 * m + n - a * 10 * n - a * m = b', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 10}]\niIndex: 48327" + }, + { + "Answer": 16, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 56.0, 'TokenId': 8}]\niIndex: 312378" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m - b * n = b * c - a * c', 'd * m - e * n = 0']\nAlignment: [{'coeff': 'e', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 12}]\niIndex: 774524" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 23.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 8}]\niIndex: 672794" + }, + { + "Answer": 17, + "Explanation": "Template: ['m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 39.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 3}]\niIndex: 71823" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 48.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}]\niIndex: 840797" + }, + { + "Answer": 180, + "Explanation": "Template: ['a * m - b * m = -1 * b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 320.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 400.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 7}]\niIndex: 363005" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m - b * n = c + d', 'n + m = e']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 12}, {'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 18}, {'coeff': 'e', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 6}]\niIndex: 223660" + }, + { + "Answer": 14.6666666667, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 6}]\niIndex: 831683" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 11}]\niIndex: 63558" + }, + { + "Answer": 47, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 63.0, 'TokenId': 4}]\niIndex: 482896" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 17}]\niIndex: 369177" + }, + { + "Answer": 55, + "Explanation": "Template: ['a * m - n = -1 * b + a * b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 3}]\niIndex: 147416" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}]\niIndex: 940203" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 108.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 230.0, 'TokenId': 7}]\niIndex: 631391" + }, + { + "Answer": 17.9640718563, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 33.3, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 1}]\niIndex: 912650" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.75, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}]\niIndex: 436798" + }, + { + "Answer": -53, + "Explanation": "Template: ['m + m = a - 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': -105.0, 'TokenId': 8}]\niIndex: 38538" + }, + { + "Answer": 1125, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.3, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 11.3, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4500.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.8, 'TokenId': 22}]\niIndex: 5727" + }, + { + "Answer": 283, + "Explanation": "Template: ['a * m + a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 880.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 126.0, 'TokenId': 4}]\niIndex: 158849" + }, + { + "Answer": 35, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * m = 0.01 * a * c - 0.01 * d * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 46.0, 'TokenId': 22}]\niIndex: 631657" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 7}]\niIndex: 853841" + }, + { + "Answer": 7, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 29.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'f', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 10}, {'coeff': 'e', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}]\niIndex: 344117" + }, + { + "Answer": 45, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 2, 'Value': 315.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 2}]\niIndex: 354809" + }, + { + "Answer": 1.25542053973, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 82.1, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 109.071, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 240.0, 'TokenId': 9}]\niIndex: 355014" + }, + { + "Answer": 81, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 67.0, 'TokenId': 7}]\niIndex: 265873" + }, + { + "Answer": 6.5, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 910.0, 'TokenId': 7}]\niIndex: 726116" + }, + { + "Answer": 396, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 264.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}]\niIndex: 362485" + }, + { + "Answer": 6.2, + "Explanation": "Template: ['m + a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 3}]\niIndex: 770731" + }, + { + "Answer": 2.5, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 64.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 2, 'Value': 310.0, 'TokenId': 7}]\niIndex: 154757" + }, + { + "Answer": 2.1, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 7}]\niIndex: 428016" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}]\niIndex: 474385" + }, + { + "Answer": 28.8, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 360094" + }, + { + "Answer": 1.66666666667, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 3}]\niIndex: 13066" + }, + { + "Answer": 11, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 917171" + }, + { + "Answer": 608, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1520.0, 'TokenId': 4}]\niIndex: 630415" + }, + { + "Answer": 19, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 17.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 5}]\niIndex: 362965" + }, + { + "Answer": 6, + "Explanation": "Template: ['10 * m + n - a * 10 * n - a * m = -1 * b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 10}]\niIndex: 151854" + }, + { + "Answer": 660, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 275.0, 'TokenId': 20}]\niIndex: 938110" + }, + { + "Answer": 75, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 21}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 5}]\niIndex: 801838" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - b * m = a']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 8}]\niIndex: 127673" + }, + { + "Answer": 1.5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.25, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 21}, {'coeff': 'e', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}, {'coeff': 'f', 'SentenceId': 0, 'Value': 24.6, 'TokenId': 13}]\niIndex: 607444" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 0.5, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 2, 'Value': 14.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 3, 'Value': 2.0, 'TokenId': 4}]\niIndex: 125684" + }, + { + "Answer": 100, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 250.0, 'TokenId': 2}]\niIndex: 562118" + }, + { + "Answer": 150, + "Explanation": "Template: ['a * m - b * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 4}]\niIndex: 274176" + }, + { + "Answer": 8.75, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 23.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 35.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 2, 'Value': 490.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 15}]\niIndex: 25233" + }, + { + "Answer": 29, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 154.0, 'TokenId': 6}]\niIndex: 932710" + }, + { + "Answer": 35, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 22}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 120.0, 'TokenId': 2}]\niIndex: 371240" + }, + { + "Answer": 40, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.8, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 4}]\niIndex: 23910" + }, + { + "Answer": 3, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 33.0, 'TokenId': 4}]\niIndex: 498815" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 10}]\niIndex: 753430" + }, + { + "Answer": 1925, + "Explanation": "Template: ['0.01 * a * b * m - 0.01 * c * n = 0', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4725.0, 'TokenId': 3}]\niIndex: 91817" + }, + { + "Answer": 89.9, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 58.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 62.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 8}]\niIndex: 137152" + }, + { + "Answer": 32, + "Explanation": "Template: ['a * m - b * m = b * c + a * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.1666666716337204, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 14}]\niIndex: 369466" + }, + { + "Answer": 1.875, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}]\niIndex: 483844" + }, + { + "Answer": 14, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 39.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 3}]\niIndex: 16062" + }, + { + "Answer": 44, + "Explanation": "Template: ['m - a * n = a * b - b', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 56.0, 'TokenId': 7}]\niIndex: 717974" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 57.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1625.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 9}]\niIndex: 127175" + }, + { + "Answer": 45, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 3, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 3, 'Value': 510.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 7}]\niIndex: 58087" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 280.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 135.0, 'TokenId': 6}]\niIndex: 571516" + }, + { + "Answer": 2.5, + "Explanation": "Template: ['a * m + a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 110.0, 'TokenId': 9}]\niIndex: 420981" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m + n = b', 'n - c * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 297.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 6}]\niIndex: 889452" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 936010" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}]\niIndex: 359198" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}]\niIndex: 491545" + }, + { + "Answer": 14, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 637338" + }, + { + "Answer": 36, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 120.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 48.0, 'TokenId': 3}]\niIndex: 628870" + }, + { + "Answer": 16250, + "Explanation": "Template: ['a * m - b * n = c * d', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 25000.0, 'TokenId': 3}]\niIndex: 174785" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 11}]\niIndex: 144847" + }, + { + "Answer": 11.5, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 44.0, 'TokenId': 6}]\niIndex: 351101" + }, + { + "Answer": 6, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'TokenId': 13, 'Value': 15.0}, {'coeff': 'b', 'SentenceId': 1, 'TokenId': 8, 'Value': 10.0}, {'coeff': 'c', 'SentenceId': 2, 'TokenId': 8, 'Value': 1.0}]\niIndex: 452946" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 21.0, 'TokenId': 19}]\niIndex: 1042" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.5, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 3}]\niIndex: 71010" + }, + { + "Answer": 11.9999976, + "Explanation": "Template: ['a * m - a * n = b', 'n - c * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.6666666865348816, 'TokenId': 2}]\niIndex: 21609" + }, + { + "Answer": 54, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 101.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 33959" + }, + { + "Answer": 8, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}]\niIndex: 554064" + }, + { + "Answer": 21, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 1, 'Value': 77.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 2}]\niIndex: 101174" + }, + { + "Answer": 2.19512195122, + "Explanation": "Template: ['10 * m + n - a * m - a * n = 0', '10 * m + n - 10 * n + m = -1 * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 4}]\niIndex: 502890" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.5, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 138.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 2}]\niIndex: 153873" + }, + { + "Answer": 23, + "Explanation": "Template: ['m - a * n = b', 'c * n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 10}]\niIndex: 492783" + }, + { + "Answer": 28, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.2, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}]\niIndex: 237065" + }, + { + "Answer": 8, + "Explanation": "Template: ['m - a * m = -1 * a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 24}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 18}]\niIndex: 859765" + }, + { + "Answer": 13, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 53.0, 'TokenId': 6}]\niIndex: 280654" + }, + { + "Answer": 28, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 89.0, 'TokenId': 3}]\niIndex: 359241" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 52.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}]\niIndex: 106801" + }, + { + "Answer": 7.5, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 3, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}]\niIndex: 380161" + }, + { + "Answer": 51, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 276.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 12}]\niIndex: 127370" + }, + { + "Answer": 1, + "Explanation": "Template: ['m - a * n - b * n = -1 * c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}]\niIndex: 267695" + }, + { + "Answer": 6000, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 160.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 4}]\niIndex: 161626" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - a * n = a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 3, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 6}]\niIndex: 892663" + }, + { + "Answer": 13, + "Explanation": "Template: ['m - a * n = b', 'c * n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 1}]\niIndex: 265579" + }, + { + "Answer": 12, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 72.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}]\niIndex: 911314" + }, + { + "Answer": -4, + "Explanation": "Template: ['a * m - m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 2}]\niIndex: 389405" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 201720" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n = a', '2 * m + 4 * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 17}]\niIndex: 632950" + }, + { + "Answer": 1.16666666667, + "Explanation": "Template: ['10 * m + n - 10 * n - m = a', 'm - b * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}]\niIndex: 241901" + }, + { + "Answer": 33, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 6}]\niIndex: 403622" + }, + { + "Answer": 119, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 157.0, 'TokenId': 17}]\niIndex: 403257" + }, + { + "Answer": -10, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}]\niIndex: 415249" + }, + { + "Answer": 7200, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 684.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 4}]\niIndex: 23711" + }, + { + "Answer": 342, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 985.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 578.0, 'TokenId': 7}]\niIndex: 185146" + }, + { + "Answer": 1.71428571429, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 11}]\niIndex: 547216" + }, + { + "Answer": 2.28571428571, + "Explanation": "Template: ['a * m + n = b', 'c * m - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 15.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 11}]\niIndex: 568773" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.75, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 1, 'Value': 5.7, 'TokenId': 17}]\niIndex: 262723" + }, + { + "Answer": 17, + "Explanation": "Template: ['m - a * n = b', 'c * n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 0, 'Value': 86.0, 'TokenId': 12}]\niIndex: 541835" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 412829" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 6}]\niIndex: 182090" + }, + { + "Answer": 7, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 28.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}]\niIndex: 749368" + }, + { + "Answer": 18, + "Explanation": "Template: ['m - a * m = a * b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}]\niIndex: 208361" + }, + { + "Answer": 51, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 6}]\niIndex: 75641" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = 0.01 * c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 2}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 2}]\niIndex: 936304" + }, + { + "Answer": 26, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 54.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 39.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 58.0, 'TokenId': 19}]\niIndex: 418675" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 17}]\niIndex: 299860" + }, + { + "Answer": 33, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 52.0, 'TokenId': 7}]\niIndex: 871121" + }, + { + "Answer": 0.5, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.75, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'e', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'f', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 13}]\niIndex: 57521" + }, + { + "Answer": 7000, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 27}, {'coeff': 'c', 'SentenceId': 1, 'Value': 650.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 7}]\niIndex: 284842" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 45.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 3, 'Value': 30.0, 'TokenId': 2}]\niIndex: 482224" + }, + { + "Answer": 0.4, + "Explanation": "Template: ['m - 0.01 * a * m = 0.01 * a * b - 0.01 * c * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 21}]\niIndex: 604450" + }, + { + "Answer": 24.0002400024, + "Explanation": "Template: ['a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.3333333432674408, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 3}]\niIndex: 634403" + }, + { + "Answer": 120, + "Explanation": "Template: ['m = a - b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 246.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 79.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 3, 'Value': 47.0, 'TokenId': 5}]\niIndex: 665254" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 3}]\niIndex: 364980" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 776241" + }, + { + "Answer": 34, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 63.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}]\niIndex: 237977" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.05000000074505806, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.10000000149011612, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1.95, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 2}]\niIndex: 933954" + }, + { + "Answer": 12, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 37.0, 'TokenId': 11}]\niIndex: 899013" + }, + { + "Answer": 24, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'TokenId': 9, 'Value': 60.0}, {'coeff': 'b', 'SentenceId': 1, 'TokenId': 17, 'Value': 40.0}, {'coeff': 'c', 'SentenceId': 2, 'TokenId': 5, 'Value': 1.0}]\niIndex: 319521" + }, + { + "Answer": 280, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7200.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 400.0, 'TokenId': 11}]\niIndex: 189537" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 29}, {'coeff': 'd', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 6}]\niIndex: 127343" + }, + { + "Answer": 18, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 80.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}]\niIndex: 343286" + }, + { + "Answer": 74, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 372.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 1, 'Value': 165.0, 'TokenId': 21}]\niIndex: 80004" + }, + { + "Answer": 7.2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 10}]\niIndex: 193001" + }, + { + "Answer": 36, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 216.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}]\niIndex: 761623" + }, + { + "Answer": 1800, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.5, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 2, 'Value': 227.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4000.0, 'TokenId': 3}]\niIndex: 5160" + }, + { + "Answer": 6000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 2, 'Value': 9.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 3, 'Value': 660.0, 'TokenId': 24}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10000.0, 'TokenId': 4}]\niIndex: 239280" + }, + { + "Answer": -50, + "Explanation": "Template: ['a * m + b * n = c', 'm + d * n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'e', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 12}]\niIndex: 276154" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.7, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 2}]\niIndex: 30712" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 3}]\niIndex: 775646" + }, + { + "Answer": 5, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}]\niIndex: 183226" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 12}]\niIndex: 436659" + }, + { + "Answer": 14, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 42.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 839861" + }, + { + "Answer": 3, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 59.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 2}]\niIndex: 847195" + }, + { + "Answer": 6.71428571429, + "Explanation": "Template: ['a * m - n = b', 'c * n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 2, 'Value': 4.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 2, 'Value': 20.0, 'TokenId': 3}]\niIndex: 408092" + }, + { + "Answer": 12.2051282051, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 25}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.11, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 1, 'Value': 17.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.22, 'TokenId': 10}]\niIndex: 182531" + }, + { + "Answer": 5, + "Explanation": "Template: ['m + n = a + b', 'n - c * m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 218361" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.75, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 6}]\niIndex: 53380" + }, + { + "Answer": 12000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1680.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 910171" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m + 0.05 * n = b', 'n - c * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.9, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 173871" + }, + { + "Answer": 19, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 26.0, 'TokenId': 8}]\niIndex: 774970" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 240.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 0, 'Value': 360.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 150.0, 'TokenId': 10}]\niIndex: 139664" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 2}]\niIndex: 367016" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 52.0, 'TokenId': 23}]\niIndex: 618932" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.99, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.99, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 2, 'Value': 331.64, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 36.0, 'TokenId': 11}]\niIndex: 250856" + }, + { + "Answer": 0.11, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = 0.01 * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8200.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4000.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1282.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 1.5, 'TokenId': 18}]\niIndex: 908083" + }, + { + "Answer": 36, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 47.0, 'TokenId': 11}]\niIndex: 761992" + }, + { + "Answer": 64, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 11}]\niIndex: 368038" + }, + { + "Answer": 36, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}]\niIndex: 167906" + }, + { + "Answer": 67.5, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1400.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 14}]\niIndex: 22933" + }, + { + "Answer": 6.66666666667, + "Explanation": "Template: ['a * m + b * m = b * c - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 9}]\niIndex: 308613" + }, + { + "Answer": 1280, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 2, 'Value': 26600.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2200.0, 'TokenId': 14}]\niIndex: 435560" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m + b * m - c * m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.20000000298023224, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.125, 'TokenId': 23}, {'coeff': 'd', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 21}]\niIndex: 111381" + }, + { + "Answer": 42, + "Explanation": "Template: ['a * m - n = b', '0.05 * m + 0.01 * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 36.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.58, 'TokenId': 3}]\niIndex: 283797" + }, + { + "Answer": 60, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 12.0, 'TokenId': 3}]\niIndex: 669149" + }, + { + "Answer": 30, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 11}]\niIndex: 237509" + }, + { + "Answer": 4, + "Explanation": "Template: ['m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 34.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 3}]\niIndex: 86849" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - n = 10', 'a * m + a * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 2, 'Value': 560.0, 'TokenId': 7}]\niIndex: 153373" + }, + { + "Answer": -9, + "Explanation": "Template: ['a * m + n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': -20.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}]\niIndex: 841003" + }, + { + "Answer": 29, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.55, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 4}]\niIndex: 52196" + }, + { + "Answer": 2.5, + "Explanation": "Template: ['1 / a * m + 1 / b * m - 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 11}]\niIndex: 745076" + }, + { + "Answer": 25, + "Explanation": "Template: ['m + a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 8}]\niIndex: 378744" + }, + { + "Answer": 2, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}]\niIndex: 51629" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 44.0, 'TokenId': 12}]\niIndex: 11876" + }, + { + "Answer": 18, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.5, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 34.0, 'TokenId': 2}]\niIndex: 758075" + }, + { + "Answer": 246, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 2, 'Value': 26170.0, 'TokenId': 2}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1096.0, 'TokenId': 3}]\niIndex: 29976" + }, + { + "Answer": -4, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': -17.0, 'TokenId': 14}]\niIndex: 161314" + }, + { + "Answer": 65, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 6}]\niIndex: 39408" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 16}]\niIndex: 664253" + }, + { + "Answer": 24, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 41.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 2}]\niIndex: 221517" + }, + { + "Answer": 29, + "Explanation": "Template: ['m - a * n = a * b - b', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 41.0, 'TokenId': 10}]\niIndex: 922336" + }, + { + "Answer": 2900, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.25, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30000.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4500.0, 'TokenId': 2}]\niIndex: 828452" + }, + { + "Answer": 160, + "Explanation": "Template: ['0.01 * a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 4}]\niIndex: 829751" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 12}]\niIndex: 366454" + }, + { + "Answer": 93, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 117.0, 'TokenId': 6}]\niIndex: 477799" + }, + { + "Answer": 47, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 1, 'Value': 297.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 5}]\niIndex: 314004" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 19}, {'coeff': 'c', 'SentenceId': 1, 'Value': 111.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}]\niIndex: 48121" + }, + { + "Answer": 25, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 1.1, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 3, 'Value': 0.7, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.6, 'TokenId': 5}]\niIndex: 1422" + }, + { + "Answer": 0.6, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1 - 1 / a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 24}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 30}]\niIndex: 724311" + }, + { + "Answer": 115, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1255.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 320.0, 'TokenId': 5}]\niIndex: 747692" + }, + { + "Answer": 42, + "Explanation": "Template: ['m - a * n = -1 * b * a + b - c', 'm - d * n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'e', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 3}]\niIndex: 39411" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 2, 'Value': 20.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 4, 'Value': 384.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 4, 'Value': 24.0, 'TokenId': 6}]\niIndex: 80313" + }, + { + "Answer": 29, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 63.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 16}]\niIndex: 189586" + }, + { + "Answer": 0.666666666667, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 2}, {'coeff': 'd', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 13}]\niIndex: 256224" + }, + { + "Answer": 0.26, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.56, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.28, 'TokenId': 5}]\niIndex: 88433" + }, + { + "Answer": 30, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}]\niIndex: 379721" + }, + { + "Answer": 60, + "Explanation": "Template: ['1 / a * m - 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}]\niIndex: 557367" + }, + { + "Answer": 19, + "Explanation": "Template: ['a * m - b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 6}]\niIndex: 378386" + }, + { + "Answer": 36, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 149.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 73.0, 'TokenId': 6}]\niIndex: 545112" + }, + { + "Answer": 29, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 3}]\niIndex: 103025" + }, + { + "Answer": 430, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 2, 'Value': 2250.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 110.0, 'TokenId': 4}]\niIndex: 342366" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}]\niIndex: 337" + }, + { + "Answer": 13.5, + "Explanation": "Template: ['a * m - b * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 55.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}]\niIndex: 683942" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 7}, {'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 6}]\niIndex: 174001" + }, + { + "Answer": 35, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 89.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 19.0, 'TokenId': 12}]\niIndex: 767344" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m - a * n = b', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 23}]\niIndex: 272228" + }, + { + "Answer": 4, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 2}]\niIndex: 951415" + }, + { + "Answer": 25, + "Explanation": "Template: ['a * m - b * n = 0', 'm - c * n = d']\nAlignment: [{'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 10}, {'coeff': 'a', 'SentenceId': 1, 'Value': 5, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12, 'TokenId': 8}]\niIndex: 391073" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 23.0, 'TokenId': 3}]\niIndex: 310397" + }, + { + "Answer": 27.000000675, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.3333333432674408, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 46.0, 'TokenId': 6}]\niIndex: 850598" + }, + { + "Answer": 6000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 840.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 1, 'Value': 10000.0, 'TokenId': 11}]\niIndex: 839243" + }, + { + "Answer": 50, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 66.0, 'TokenId': 11}]\niIndex: 389616" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}]\niIndex: 51889" + }, + { + "Answer": 1400, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 2, 'Value': 54.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2000.0, 'TokenId': 6}]\niIndex: 316179" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}]\niIndex: 624461" + }, + { + "Answer": 18, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}]\niIndex: 767604" + }, + { + "Answer": 15, + "Explanation": "Template: ['1 / a * m + 1 / b * m + 1 / c * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 2, 'Value': 90.0, 'TokenId': 7}]\niIndex: 499575" + }, + { + "Answer": 36, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 7}]\niIndex: 364571" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 210.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 130.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 1, 'Value': 178.0, 'TokenId': 16}]\niIndex: 658510" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.15, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.45, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 18.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.3, 'TokenId': 14}]\niIndex: 915878" + }, + { + "Answer": 30, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 11}]\niIndex: 569591" + }, + { + "Answer": 84, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 22.5, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 4995.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 250.0, 'TokenId': 3}]\niIndex: 385312" + }, + { + "Answer": 3, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}]\niIndex: 948538" + }, + { + "Answer": 128, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 320.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 2, 'Value': 11.0, 'TokenId': 12}]\niIndex: 242296" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.85, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 35.0, 'TokenId': 2}]\niIndex: 838508" + }, + { + "Answer": 12.5, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 14}]\niIndex: 1299" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}]\niIndex: 389184" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 36.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}]\niIndex: 167571" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.5, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.5, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 93.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 2}]\niIndex: 63761" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m + a * n = b', 'c * n - d * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.4000000059604645, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 32.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}]\niIndex: 264997" + }, + { + "Answer": 5, + "Explanation": "Template: ['m - a * n = a * b - b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 154972" + }, + { + "Answer": 90, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 3, 'Value': 930.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 150.0, 'TokenId': 3}]\niIndex: 167815" + }, + { + "Answer": 75, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 20}]\niIndex: 548035" + }, + { + "Answer": 7, + "Explanation": "Template: ['m + n - a * n + a * m = 0', 'n - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 4}]\niIndex: 357498" + }, + { + "Answer": 1.2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 11}]\niIndex: 789308" + }, + { + "Answer": 43, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 11}]\niIndex: 787643" + }, + { + "Answer": 14078, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 24}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1836.88, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20000.0, 'TokenId': 3}]\niIndex: 314449" + }, + { + "Answer": 41, + "Explanation": "Template: ['m - a * n = b', '2 * m + 2 * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 94.0, 'TokenId': 7}]\niIndex: 104379" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m - m = a * b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 19}]\niIndex: 175952" + }, + { + "Answer": 240, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 5, 'Value': 480.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 3, 'Value': 11.0, 'TokenId': 7}]\niIndex: 333323" + }, + { + "Answer": 3, + "Explanation": "Template: ['m + m= a', 'n - m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 3}]\niIndex: 415936" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'b', 'SentenceId': 1, 'Value': 11.0, 'TokenId': 5}, {'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 6}]\niIndex: 231083" + }, + { + "Answer": 2.91666666667, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 27}]\niIndex: 502380" + }, + { + "Answer": 1900, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5000.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1200.0, 'TokenId': 5}]\niIndex: 3131" + }, + { + "Answer": 3.6, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.24, 'TokenId': 5}]\niIndex: 466772" + }, + { + "Answer": 15, + "Explanation": "Template: ['m + n = a + b + b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}]\niIndex: 339801" + }, + { + "Answer": 28, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 19}]\niIndex: 364944" + }, + { + "Answer": 150, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 600.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 22}]\niIndex: 215962" + }, + { + "Answer": 250, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 14}]\niIndex: 276559" + }, + { + "Answer": -15, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': -3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 13}]\niIndex: 164775" + }, + { + "Answer": 19, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 44.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 3}]\niIndex: 799190" + }, + { + "Answer": 48, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 8}]\niIndex: 301832" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - 10 * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 11.0, 'TokenId': 21}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 10}]\niIndex: 765055" + }, + { + "Answer": 4000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 2, 'Value': 770.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9000.0, 'TokenId': 5}]\niIndex: 153326" + }, + { + "Answer": 24, + "Explanation": "Template: ['1 / a * m - 1 / b * m = c * 1 / 60']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 0, 'Value': 48.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 14}]\niIndex: 354154" + }, + { + "Answer": 13.3333333333, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 20}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}]\niIndex: 30391" + }, + { + "Answer": 600, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.65, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10410.0, 'TokenId': 4}]\niIndex: 949062" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 75.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 250.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 2, 'Value': 2300.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 6}]\niIndex: 124939" + }, + { + "Answer": 1800, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'd * m - n = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.5, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 2, 'Value': 298.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 16}, {'coeff': 'e', 'SentenceId': 1, 'Value': 400.0, 'TokenId': 13}]\niIndex: 260563" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 440.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 0, 'Value': 56.0, 'TokenId': 2}]\niIndex: 796659" + }, + { + "Answer": 3.25, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 18}]\niIndex: 118242" + }, + { + "Answer": 14.2857142857, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 8}]\niIndex: 379651" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 800.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 1}]\niIndex: 115404" + }, + { + "Answer": 130, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 540.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 200.0, 'TokenId': 2}]\niIndex: 432431" + }, + { + "Answer": 80, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 390.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 4}]\niIndex: 214694" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m - a * n - m = b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}]\niIndex: 366069" + }, + { + "Answer": 90, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1150.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 3, 'Value': 160.0, 'TokenId': 19}]\niIndex: 887261" + }, + { + "Answer": 40, + "Explanation": "Template: ['a * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 26}]\niIndex: 86437" + }, + { + "Answer": 22, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 8}]\niIndex: 515334" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 6}]\niIndex: 406873" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', '2 * m + 4 * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 1, 'Value': 42.0, 'TokenId': 5}]\niIndex: 52463" + }, + { + "Answer": 14, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 9}]\niIndex: 29965" + }, + { + "Answer": 9.6, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.9, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.65, 'TokenId': 34}, {'coeff': 'c', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 22}]\niIndex: 160272" + }, + { + "Answer": 16, + "Explanation": "Template: ['0.05 * m + 0.1 * n = a', 'm + n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 4.2, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 7}]\niIndex: 751866" + }, + { + "Answer": 45, + "Explanation": "Template: ['m - a * n = a * b - c - b', 'd * n - m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 22.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 297.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'e', 'SentenceId': 1, 'Value': 162.0, 'TokenId': 4}]\niIndex: 2107" + }, + { + "Answer": 2.25, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.75, 'TokenId': 21}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'e', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'f', 'SentenceId': 1, 'Value': 12.5, 'TokenId': 19}]\niIndex: 148918" + }, + { + "Answer": 105, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 300.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 4}]\niIndex: 374768" + }, + { + "Answer": 25, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 6}]\niIndex: 666554" + }, + { + "Answer": 20, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 80.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}]\niIndex: 677790" + }, + { + "Answer": 12, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 14}]\niIndex: 571512" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.45, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 33}, {'coeff': 'c', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.55, 'TokenId': 24}]\niIndex: 418248" + }, + { + "Answer": -6, + "Explanation": "Template: ['0.01 * a * m - 0.01 * b * m = 0.01 * b * c - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 13}]\niIndex: 214577" + }, + { + "Answer": 7, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 11}]\niIndex: 271141" + }, + { + "Answer": 2.66666666667, + "Explanation": "Template: ['a * m - b * m = c + a * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 8}]\niIndex: 151676" + }, + { + "Answer": 15, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 28.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}]\niIndex: 244172" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m - n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 4}]\niIndex: 468522" + }, + { + "Answer": 10, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 0}]\niIndex: 709348" + }, + { + "Answer": 56, + "Explanation": "Template: ['a * m + b * m + a * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 12.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1284.0, 'TokenId': 25}, {'coeff': 'd', 'SentenceId': 1, 'Value': 33.0, 'TokenId': 9}]\niIndex: 469962" + }, + { + "Answer": 2.10526315789, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 0, 'Value': 90.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 5}]\niIndex: 406329" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 9}]\niIndex: 413586" + }, + { + "Answer": 1000, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 17.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 490.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5000.0, 'TokenId': 3}]\niIndex: 119770" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 70.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 60.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 260.0, 'TokenId': 13}]\niIndex: 475338" + }, + { + "Answer": 29, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.85, 'TokenId': 1}, {'coeff': 'd', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 3}]\niIndex: 844994" + }, + { + "Answer": 200, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1000.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 2, 'Value': 45.0, 'TokenId': 17}]\niIndex: 164971" + }, + { + "Answer": 5760, + "Explanation": "Template: ['a * m + b * a * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3600.0, 'TokenId': 3}]\niIndex: 381717" + }, + { + "Answer": 15.6, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 5.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 96.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 6}]\niIndex: 23409" + }, + { + "Answer": 8, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 2}]\niIndex: 763385" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m - b * n = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 4}]\niIndex: 829105" + }, + { + "Answer": 895, + "Explanation": "Template: ['a * b * m + c * d * n = e - c * 1', 'a * m + c * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 25.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 1, 'Value': 0.25, 'TokenId': 22}, {'coeff': 'e', 'SentenceId': 1, 'Value': 1315.0, 'TokenId': 31}, {'coeff': 'f', 'SentenceId': 0, 'Value': 1580.0, 'TokenId': 13}]\niIndex: 120766" + }, + { + "Answer": 61, + "Explanation": "Template: ['a * m + b * m - c * m = -1 * a * d - b * e']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 25}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 35}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 54}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 28}, {'coeff': 'e', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 38}]\niIndex: 280026" + }, + { + "Answer": 10, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}]\niIndex: 54524" + }, + { + "Answer": 15, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 9}]\niIndex: 948913" + }, + { + "Answer": 1, + "Explanation": "Template: ['a * 10 * m + a * n - b * 10 * n - b * m = 0', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 30}]\niIndex: 628279" + }, + { + "Answer": -5, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': -9.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 24}]\niIndex: 405732" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 6}]\niIndex: 386638" + }, + { + "Answer": 72000, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 240.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 360.0, 'TokenId': 22}, {'coeff': 'c', 'SentenceId': 0, 'Value': 500.0, 'TokenId': 6}]\niIndex: 290678" + }, + { + "Answer": 17, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 36.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}]\niIndex: 828645" + }, + { + "Answer": 9, + "Explanation": "Template: ['a * m - b * n - m = c', 'n - m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 2}]\niIndex: 96165" + }, + { + "Answer": 36, + "Explanation": "Template: ['m - a * n = a * b - c - b', 'm - d * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 386672" + }, + { + "Answer": 1.49999250004, + "Explanation": "Template: ['m + n - a * m = -1 * b', 'n - c * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 0.3333333432674408, 'TokenId': 3}]\niIndex: 237192" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m - b * m = c']\nAlignment: [{'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 3}, {'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 13}]\niIndex: 505150" + }, + { + "Answer": 61, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 0, 'Value': 94.0, 'TokenId': 6}]\niIndex: 796706" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 26}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 18}]\niIndex: 299103" + }, + { + "Answer": 16, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}]\niIndex: 400668" + }, + { + "Answer": 2.72727272727, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 7}]\niIndex: 430183" + }, + { + "Answer": 60, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1200.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 2, 'Value': 7.0, 'TokenId': 2}]\niIndex: 20440" + }, + { + "Answer": 92, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 248.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 64.0, 'TokenId': 3}]\niIndex: 548627" + }, + { + "Answer": 36, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 2}]\niIndex: 758159" + }, + { + "Answer": 18, + "Explanation": "Template: ['m + n = a', 'n - b * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 72.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}]\niIndex: 549635" + }, + { + "Answer": 29, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 35.0, 'TokenId': 3}]\niIndex: 505066" + }, + { + "Answer": 35, + "Explanation": "Template: ['m - a * n = b', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 6}]\niIndex: 351523" + }, + { + "Answer": 4.66666666667, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 1, 'Value': 490.0, 'TokenId': 7}]\niIndex: 377563" + }, + { + "Answer": 1, + "Explanation": "Template: ['a * m - b * n = c', 'n - d * m = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 8.0, 'TokenId': 0}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}]\niIndex: 2853" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 4}]\niIndex: 511333" + }, + { + "Answer": 4, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 6}]\niIndex: 840896" + }, + { + "Answer": 17, + "Explanation": "Template: ['m - n = a', 'm - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 34.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}]\niIndex: 919697" + }, + { + "Answer": 68, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 178.0, 'TokenId': 6}]\niIndex: 333072" + }, + { + "Answer": 18, + "Explanation": "Template: ['1 / a * m + 1 / b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 23}, {'coeff': 'c', 'SentenceId': 2, 'Value': 8.0, 'TokenId': 21}]\niIndex: 97011" + }, + { + "Answer": 101, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 14.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 130.0, 'TokenId': 6}]\niIndex: 268774" + }, + { + "Answer": 37.5, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.25, 'TokenId': 12}]\niIndex: 111944" + }, + { + "Answer": 14, + "Explanation": "Template: ['a * m + b * n = c', 'd * m - e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 21}, {'coeff': 'f', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 71.0, 'TokenId': 31}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'e', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 26}]\niIndex: 120139" + }, + { + "Answer": 1.33333333333, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 5.6, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 4.34, 'TokenId': 34}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 16}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.5, 'TokenId': 24}]\niIndex: 126773" + }, + { + "Answer": 3, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', '10 * m + n - b * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 5}]\niIndex: 134766" + }, + { + "Answer": 75, + "Explanation": "Template: ['m + n = 180', 'a * m - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 45.0, 'TokenId': 7}]\niIndex: 14470" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 146.0, 'TokenId': 21}, {'coeff': 'd', 'SentenceId': 0, 'Value': 24.0, 'TokenId': 0}]\niIndex: 145147" + }, + { + "Answer": 2.66666666667, + "Explanation": "Template: ['a * m = b + a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 96.0, 'TokenId': 32}, {'coeff': 'b', 'SentenceId': 0, 'Value': 64.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 8}]\niIndex: 147255" + }, + { + "Answer": 9, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 2, 'Value': 3.0, 'TokenId': 3}]\niIndex: 153771" + }, + { + "Answer": 769.83016983, + "Explanation": "Template: ['a * m + b * m = c + b * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 2, 'Value': 0.04, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 3, 'Value': 30800.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 2, 'Value': 600.0, 'TokenId': 16}]\niIndex: 153934" + }, + { + "Answer": 769.83016983, + "Explanation": "Template: ['a * m + b * m = c + b * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 2, 'Value': 0.04, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 3, 'Value': 30800.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 2, 'Value': 600.0, 'TokenId': 16}]\niIndex: 153934" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m - b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 6}]\niIndex: 157467" + }, + { + "Answer": 0.9, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 2, 'Value': 1.5, 'TokenId': 6}]\niIndex: 158306" + }, + { + "Answer": 121.2, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 15.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 202.0, 'TokenId': 34}]\niIndex: 170101" + }, + { + "Answer": 19.5, + "Explanation": "Template: ['a * m + b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 91.5, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 12}]\niIndex: 181887" + }, + { + "Answer": 49, + "Explanation": "Template: ['a * m - b * n = c + d', 'n + m = e']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'd', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'e', 'SentenceId': 0, 'Value': 64.0, 'TokenId': 6}]\niIndex: 190263" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m + a * n = b', 'c * m - c * n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 72.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 15}, {'coeff': 'd', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 12}]\niIndex: 199864" + }, + { + "Answer": 10.75, + "Explanation": "Template: ['a * m = b - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 1, 'Value': 622.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 0, 'Value': 11.25, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 11}]\niIndex: 22370" + }, + { + "Answer": 1.5, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 2, 'Value': 6.3, 'TokenId': 5}]\niIndex: 224310" + }, + { + "Answer": 8, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 18.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 10}]\niIndex: 260211" + }, + { + "Answer": 27.8260869565, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.25, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 1.95, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 22}, {'coeff': 'd', 'SentenceId': 0, 'Value': 2.75, 'TokenId': 31}]\niIndex: 260655" + }, + { + "Answer": 1.33333333333, + "Explanation": "Template: ['a * m - b * n = 0', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 22.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 2, 'Value': 32.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 3, 'Value': 2.25, 'TokenId': 5}]\niIndex: 261457" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.95, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.1, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 18}]\niIndex: 262870" + }, + { + "Answer": 2.5, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 5}, {'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 17}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 23}]\niIndex: 300319" + }, + { + "Answer": 4.33333333333, + "Explanation": "Template: ['a * b * m = c - a * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 0, 'Value': 34.0, 'TokenId': 11}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 4}]\niIndex: 307088" + }, + { + "Answer": 125, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 19}, {'coeff': 'd', 'SentenceId': 2, 'Value': 8.75, 'TokenId': 14}, {'coeff': 'c', 'SentenceId': 2, 'Value': 200, 'TokenId': 4}]\niIndex: 312956" + }, + { + "Answer": 23, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 19.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 73.0, 'TokenId': 13}]\niIndex: 320536" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.10000000149011612, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 0, 'Value': 19.75, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 12}]\niIndex: 324768" + }, + { + "Answer": 66.6666666667, + "Explanation": "Template: ['a * m - b * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 20}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 4}]\niIndex: 341819" + }, + { + "Answer": 2.66666666667, + "Explanation": "Template: ['m + n - a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.5, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}]\niIndex: 347492" + }, + { + "Answer": 3, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 0, 'Value': 58.5, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 1, 'Value': 7.0, 'TokenId': 12}, {'coeff': 'e', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 17}, {'coeff': 'f', 'SentenceId': 1, 'Value': 39.75, 'TokenId': 23}]\niIndex: 349191" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 285.0, 'TokenId': 6}, {'coeff': 'd', 'SentenceId': 1, 'Value': 24.0, 'TokenId': 3}]\niIndex: 362344" + }, + { + "Answer": 3.85714285714, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 23}]\niIndex: 370249" + }, + { + "Answer": 66, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 21.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 1, 'Value': 121.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 9}]\niIndex: 371022" + }, + { + "Answer": 103, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 24}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 31}, {'coeff': 'c', 'SentenceId': 0, 'Value': 452.0, 'TokenId': 41}, {'coeff': 'd', 'SentenceId': 0, 'Value': 185.0, 'TokenId': 19}]\niIndex: 386580" + }, + { + "Answer": 0.666666666667, + "Explanation": "Template: ['a * m = b * c - b * a']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 10}]\niIndex: 390175" + }, + { + "Answer": 4, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.05000000074505806, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2.2, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 392905" + }, + { + "Answer": 40, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 4}]\niIndex: 406012" + }, + { + "Answer": 10, + "Explanation": "Template: ['a * m - b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.35, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.5, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 9}]\niIndex: 416036" + }, + { + "Answer": 23.2, + "Explanation": "Template: ['m - a * n = b', '2 * m + 2 * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.6, 'TokenId': 6}, {'coeff': 'c', 'SentenceId': 1, 'Value': 56.8, 'TokenId': 7}]\niIndex: 444336" + }, + { + "Answer": 2500, + "Explanation": "Template: ['a * m - b * m = c - b * d - e + a * f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.35, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 2, 'Value': 0.45, 'TokenId': 15}, {'coeff': 'c', 'SentenceId': 2, 'Value': 75.0, 'TokenId': 9}, {'coeff': 'd', 'SentenceId': 2, 'Value': 1000.0, 'TokenId': 11}, {'coeff': 'e', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 7}, {'coeff': 'f', 'SentenceId': 1, 'Value': 500.0, 'TokenId': 9}]\niIndex: 444908" + }, + { + "Answer": 0.05, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = 1 / d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 9.0, 'TokenId': 18}, {'coeff': 'b', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 22}, {'coeff': 'd', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 2}]\niIndex: 453419" + }, + { + "Answer": 51.6129032258, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 14.0, 'TokenId': 1}, {'coeff': 'c', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 22}, {'coeff': 'd', 'SentenceId': 1, 'Value': 100.0, 'TokenId': 5}]\niIndex: 45656" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 2, 'Value': 18.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 2, 'Value': 9.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 1, 'Value': 36.0, 'TokenId': 4}, {'coeff': 'd', 'SentenceId': 1, 'Value': 13.0, 'TokenId': 7}]\niIndex: 479334" + }, + { + "Answer": 10, + "Explanation": "Template: ['1 / a * m + 1 / b * n = c', 'n + m = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 29.0, 'TokenId': 18}, {'coeff': 'c', 'SentenceId': 2, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'd', 'SentenceId': 0, 'Value': 155.0, 'TokenId': 5}]\niIndex: 488492" + }, + { + "Answer": 19, + "Explanation": "Template: ['2 * m + 2 * m = a', 'm - n = b * 2']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 19}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}]\niIndex: 489413" + }, + { + "Answer": 5, + "Explanation": "Template: ['a * m + n - b * m - b * n = 0', 'm - n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 1}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 1, 'Value': 1.0, 'TokenId': 4}]\niIndex: 4985" + }, + { + "Answer": 2.4, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}]\niIndex: 509134" + }, + { + "Answer": 7, + "Explanation": "Template: ['m - n = a', '2 * n + 2 * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 1, 'Value': 34.0, 'TokenId': 7}]\niIndex: 525358" + }, + { + "Answer": 2, + "Explanation": "Template: ['1 / a * m + 1 / b * m = 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 1, 'Value': 6.0, 'TokenId': 8}]\niIndex: 528128" + }, + { + "Answer": 2, + "Explanation": "Template: ['10 * m + n - 10 * n - m = -1 * a', 'n + m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 27.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 7.0, 'TokenId': 10}]\niIndex: 569048" + }, + { + "Answer": -23, + "Explanation": "Template: ['a * m + b * n = -1 * c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'e', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 3}, {'coeff': 'd', 'SentenceId': 1, 'Value': 4.0, 'TokenId': 9}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'f', 'SentenceId': 0, 'Value': 43.0, 'TokenId': 13}]\niIndex: 572852" + }, + { + "Answer": 24, + "Explanation": "Template: ['a * m = b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 16.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': -32.0, 'TokenId': 19}]\niIndex: 604682" + }, + { + "Answer": 20, + "Explanation": "Template: ['a * m + b * n = c', 'm + n = d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 800.0, 'TokenId': 2}, {'coeff': 'd', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 19}]\niIndex: 628564" + }, + { + "Answer": 41, + "Explanation": "Template: ['-1 * a * m + m = b - a * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 54.0, 'TokenId': 2}]\niIndex: 654965" + }, + { + "Answer": 45, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 62.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 2}]\niIndex: 659862" + }, + { + "Answer": 17, + "Explanation": "Template: ['a * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 11}, {'coeff': 'c', 'SentenceId': 0, 'Value': 45.0, 'TokenId': 15}]\niIndex: 661121" + }, + { + "Answer": 61.1, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'b', 'SentenceId': 0, 'Value': 7.5, 'TokenId': 13}, {'coeff': 'a', 'SentenceId': 1, 'Value': 114.7, 'TokenId': 8}]\niIndex: 662163" + }, + { + "Answer": 2, + "Explanation": "Template: ['m - a * n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 4}, {'coeff': 'c', 'SentenceId': 0, 'Value': 9.0, 'TokenId': 6}]\niIndex: 675092" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 1000.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 1, 'Value': 2500.0, 'TokenId': 6}]\niIndex: 696167" + }, + { + "Answer": 35, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = f']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 1, 'Value': 150.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 1, 'Value': 132.0, 'TokenId': 10}, {'coeff': 'd', 'SentenceId': 2, 'Value': 2.0, 'TokenId': 6}, {'coeff': 'e', 'SentenceId': 2, 'Value': 400.0, 'TokenId': 10}, {'coeff': 'f', 'SentenceId': 2, 'Value': 142.0, 'TokenId': 4}]\niIndex: 739546" + }, + { + "Answer": 420, + "Explanation": "Template: ['a * m + b * n = c * d', 'n + m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 60.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'c', 'SentenceId': 0, 'Value': 630.0, 'TokenId': 17}, {'coeff': 'd', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 21}]\niIndex: 744420" + }, + { + "Answer": 81, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 120.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 0, 'Value': 42.0, 'TokenId': 13}]\niIndex: 755492" + }, + { + "Answer": 13, + "Explanation": "Template: ['m + m = a - 1']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 27.0, 'TokenId': 8}]\niIndex: 757959" + }, + { + "Answer": 9, + "Explanation": "Template: ['m - n = 1', 'n + a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 39.0, 'TokenId': 18}]\niIndex: 764947" + }, + { + "Answer": 0.45, + "Explanation": "Template: ['a * m + b * n = c', 'd * m + e * n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 40.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 1, 'Value': 16.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 26.0, 'TokenId': 14}, {'coeff': 'd', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 21}, {'coeff': 'e', 'SentenceId': 1, 'Value': 25.0, 'TokenId': 26}]\niIndex: 769480" + }, + { + "Answer": 89.999982, + "Explanation": "Template: ['m - a * m = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.8333333, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 1}]\niIndex: 772700" + }, + { + "Answer": 22, + "Explanation": "Template: ['m - a * m = a * b - c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 0.5, 'TokenId': 10}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 3}, {'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 10}]\niIndex: 774260" + }, + { + "Answer": 8, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 65.0, 'TokenId': 5}, {'coeff': 'b', 'SentenceId': 0, 'Value': 38.0, 'TokenId': 24}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 13}, {'coeff': 'd', 'SentenceId': 0, 'Value': 20.0, 'TokenId': 17}]\niIndex: 783513" + }, + { + "Answer": 106, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 180.0, 'TokenId': 2}, {'coeff': 'b', 'SentenceId': 0, 'Value': 32.0, 'TokenId': 17}]\niIndex: 800499" + }, + { + "Answer": 600, + "Explanation": "Template: ['0.01 * a * m + 0.01 * b * n = c', 'm - n = d']\nAlignment: [{'coeff': 'c', 'SentenceId': 2, 'TokenId': 15, 'Value': 76.0}, {'coeff': 'a', 'SentenceId': 1, 'TokenId': 21, 'Value': 10.0}, {'coeff': 'b', 'SentenceId': 1, 'TokenId': 14, 'Value': 16.0}, {'coeff': 'd', 'SentenceId': 1, 'TokenId': 2, 'Value': 500.0}]\niIndex: 824473" + }, + { + "Answer": 55, + "Explanation": "Template: ['m = a - b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 75.0, 'TokenId': 13}, {'coeff': 'b', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 3}]\niIndex: 829285" + }, + { + "Answer": 37, + "Explanation": "Template: ['a * m - b * m = b * c + a * d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 5.0, 'TokenId': 15}, {'coeff': 'b', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'c', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 7}, {'coeff': 'd', 'SentenceId': 0, 'Value': 13.0, 'TokenId': 2}]\niIndex: 843544" + }, + { + "Answer": 2, + "Explanation": "Template: ['a * m - b * m = b * c - c * d']\nAlignment: [{'coeff': 'c', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 6.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 4}, {'coeff': 'a', 'SentenceId': 0, 'Value': 10.0, 'TokenId': 12}]\niIndex: 847213" + }, + { + "Answer": 65, + "Explanation": "Template: ['a * m + a * n = b', 'n - m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 1.6, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 0, 'Value': 192.0, 'TokenId': 5}, {'coeff': 'c', 'SentenceId': 2, 'Value': 10.0, 'TokenId': 4}]\niIndex: 870685" + }, + { + "Answer": 2.05, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.1, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 2.0, 'TokenId': 9}]\niIndex: 87419" + }, + { + "Answer": 15, + "Explanation": "Template: ['a * m - b * m = b + c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 0.3333333432674408, 'TokenId': 0}, {'coeff': 'b', 'SentenceId': 0, 'Value': 0.25, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1.0, 'TokenId': 15}]\niIndex: 879160" + }, + { + "Answer": 1.33333333333, + "Explanation": "Template: ['a * m + b * m = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 12}, {'coeff': 'b', 'SentenceId': 2, 'Value': 45.0, 'TokenId': 16}, {'coeff': 'c', 'SentenceId': 0, 'Value': 100.0, 'TokenId': 4}]\niIndex: 893801" + }, + { + "Answer": 16, + "Explanation": "Template: ['a * m + b * n = c * d', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 3}, {'coeff': 'b', 'SentenceId': 0, 'Value': 30.0, 'TokenId': 7}, {'coeff': 'c', 'SentenceId': 0, 'Value': 40.0, 'TokenId': 12}, {'coeff': 'd', 'SentenceId': 0, 'Value': 50.0, 'TokenId': 15}]\niIndex: 909176" + }, + { + "Answer": 25, + "Explanation": "Template: ['m - a * n = -1 * a * b + b', 'm - c * n = c * d - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 4.0, 'TokenId': 6}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 0}, {'coeff': 'c', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 20}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 15}]\niIndex: 909376" + }, + { + "Answer": 11, + "Explanation": "Template: ['a * m - n = b', 'm + n = c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 11}, {'coeff': 'b', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 8}, {'coeff': 'c', 'SentenceId': 1, 'Value': 28.0, 'TokenId': 4}]\niIndex: 918333" + }, + { + "Answer": 6.4, + "Explanation": "Template: ['a * m = b * c']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 15.0, 'TokenId': 16}, {'coeff': 'b', 'SentenceId': 0, 'Value': 8.0, 'TokenId': 2}, {'coeff': 'c', 'SentenceId': 0, 'Value': 12.0, 'TokenId': 4}]\niIndex: 923544" + }, + { + "Answer": 130, + "Explanation": "Template: ['m - 0.01 * c * m = 0.01 * a * b + a']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 9}, {'coeff': 'b', 'SentenceId': 1, 'Value': 30.0, 'TokenId': 25}, {'coeff': 'c', 'SentenceId': 1, 'Value': 20.0, 'TokenId': 15}]\niIndex: 928210" + }, + { + "Answer": 13, + "Explanation": "Template: ['a * m + b * m = c - d']\nAlignment: [{'coeff': 'a', 'SentenceId': 1, 'Value': 50.0, 'TokenId': 4}, {'coeff': 'b', 'SentenceId': 1, 'Value': 70.0, 'TokenId': 10}, {'coeff': 'c', 'SentenceId': 0, 'Value': 1860.0, 'TokenId': 8}, {'coeff': 'd', 'SentenceId': 0, 'Value': 300.0, 'TokenId': 3}]\niIndex: 935426" + }, + { + "Answer": 15, + "Explanation": "Template: ['m - n = a + b', 'c * m - d * n = 0']\nAlignment: [{'coeff': 'c', 'SentenceId': 0, 'Value': 3.0, 'TokenId': 13}, {'coeff': 'a', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 14}, {'coeff': 'b', 'SentenceId': 1, 'Value': 3.0, 'TokenId': 18}, {'coeff': 'd', 'SentenceId': 0, 'Value': 5.0, 'TokenId': 11}]\niIndex: 937793" + }, + { + "Answer": 6, + "Explanation": "Template: ['a * m + b * m - n = a + b - c', 'a * m - n = 0']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 80.0, 'TokenId': 7}, {'coeff': 'b', 'SentenceId': 1, 'Value': 10.0, 'TokenId': 17}, {'coeff': 'c', 'SentenceId': 2, 'Value': 30.0, 'TokenId': 18}]\niIndex: 943749" + }, + { + "Answer": 61, + "Explanation": "Template: ['m + n = a', 'm - n = b']\nAlignment: [{'coeff': 'a', 'SentenceId': 0, 'Value': 124.0, 'TokenId': 8}, {'coeff': 'b', 'SentenceId': 0, 'Value': 2.0, 'TokenId': 5}]\niIndex: 97995" + } + ] +} \ No newline at end of file