yashmahe2018/math-error-classification-dataset

conversations listlengths 3 3
[ { "from": "gpt", "value": "What is slope-intercept form?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User does not know slope - intercept form.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x-1\|<3." }, { "from": "human", "value": "-2<x<4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User miscalculated endpoints.\"}" } ]
[ { "from": "gpt", "value": "What is solution to 3 < = x - 2?" }, { "from": "human", "value": "x > = 5" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added incorrectly.\"}" } ]
[ { "from": "gpt", "value": "Solve: 3x-2<7." }, { "from": "human", "value": "x<3" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake isolating x.\"}" } ]
[ { "from": "gpt", "value": "Write equation y = 2x + 3 in point - slope form." }, { "from": "human", "value": "y - 3 = 2 ( x )" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User misapplied form conversion.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x\| = 4." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User omitted negative solution.\"}" } ]
[ { "from": "gpt", "value": "Combine: 2x + 3y like terms." }, { "from": "human", "value": "5xy" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User tried to combine unlike terms.\"}" } ]
[ { "from": "gpt", "value": "Graph y = - x + 2, identify slope." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed sign of slope.\"}" } ]
[ { "from": "gpt", "value": "Define 'interval notation'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User doesn't know interval notation.\"}" } ]
[ { "from": "gpt", "value": "What is the result of 0*x?" }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not grasp zero property.\"}" } ]
[ { "from": "gpt", "value": "Solve: x+5>8." }, { "from": "human", "value": "x>2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error: 8 - 5 = 2 instead of 3.\"}" } ]
[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User solved incorrectly direction.\"}" } ]
[ { "from": "gpt", "value": "Convert 3x - y = 6 to y = 3x - 6." }, { "from": "human", "value": "y = 3x - 6" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct form.\"}" } ]
[ { "from": "gpt", "value": "What is solution to 3 < = x - 2?" }, { "from": "human", "value": "x > = 5" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added incorrectly.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 3(x + 2)." }, { "from": "human", "value": "3x + 2" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User omitted distribution step.\"}" } ]
[ { "from": "gpt", "value": "Solve: 5 < = x + 1." }, { "from": "human", "value": "x < = 4" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake direction.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x - 3\| = 2." }, { "from": "human", "value": "x = 1" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave single solution.\"}" } ]
[ { "from": "gpt", "value": "Find slope of y = 4x - 1." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User mixed variable and coefficient.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|2x + 1\| > = 3." }, { "from": "human", "value": "2x + 1 > = 3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User didn't include both cases.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 3(a - 2)." }, { "from": "human", "value": "3a - 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User applied distribution to only one term.\"}" } ]
[ { "from": "gpt", "value": "Write y - 1 = 2 ( x - 3 ) from slope 2 intercept 1." }, { "from": "human", "value": "y - 1 = 2 ( x - 3 )" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct form.\"}" } ]
[ { "from": "gpt", "value": "Graph line y = 5x + 1, identify intercept." }, { "from": "human", "value": "x = 1" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User confused intercept types.\"}" } ]
[ { "from": "gpt", "value": "What is slope-intercept form?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User does not know slope - intercept form.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 2y - y." }, { "from": "human", "value": "y - 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of subtraction of like terms.\"}" } ]
[ { "from": "gpt", "value": "Explain 'parallel lines'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User is new to parallel line definition.\"}" } ]
[ { "from": "gpt", "value": "Solve: 3x - 2 = 7." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct isolation of x.\"}" } ]
[ { "from": "gpt", "value": "Translate: 'seven less than n'." }, { "from": "human", "value": "n - 7" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User wrote 7 - n instead of n - 7.\"}" } ]
[ { "from": "gpt", "value": "Solve: x + 5 > 8." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct inequality solution.\"}" } ]
[ { "from": "gpt", "value": "Solve: x + 3 > 5." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User wrote x < 3, reversed inequality.\"}" } ]
[ { "from": "gpt", "value": "Find slope from (0,5) and (5,0)." }, { "from": "human", "value": "-1" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct slope.\"}" } ]
[ { "from": "gpt", "value": "What is the result of 0*x?" }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not grasp zero property.\"}" } ]
[ { "from": "gpt", "value": "Solve: 2x-1*3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User solved incorrectly direction.\"}" } ]
[ { "from": "gpt", "value": "Graph line through (0,0) slope 3." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did not plot correctly.\"}" } ]
[ { "from": "gpt", "value": "What is a coefficient in 3x + 2?" }, { "from": "human", "value": "3x" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user seems unfamiliar with the definition of coefficient.\"}" } ]
[ { "from": "gpt", "value": "Define 'slope'." }, { "from": "human", "value": "rise/run" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with slope concept.\"}" } ]
[ { "from": "gpt", "value": "Solve: x/2>3." }, { "from": "human", "value": "x>6" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misunderstood division in inequalities.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 3 = 9." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did inverse operation wrong.\"}" } ]
[ { "from": "gpt", "value": "Combine: \|x\| and x." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated operation.\"}" } ]
[ { "from": "gpt", "value": "What is a compound inequality?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User new to compound inequalities.\"}" } ]
[ { "from": "gpt", "value": "Find slope from (2,3) and (4,7)." }, { "from": "human", "value": "4" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of slope formula.\"}" } ]
[ { "from": "gpt", "value": "Write equation y = 2x + 3 in point - slope form." }, { "from": "human", "value": "y - 3 = 2 ( x )" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User misapplied form conversion.\"}" } ]
[ { "from": "gpt", "value": "Explain absolute value." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with absolute value.\"}" } ]
[ { "from": "gpt", "value": "Combine like terms: 4x + 5x." }, { "from": "human", "value": "9" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User dropped variable when combining.\"}" } ]
[ { "from": "gpt", "value": "Identify x - intercept of y = 3x + 6." }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User confused x and y intercept.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 4x + 3x." }, { "from": "human", "value": "7x" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: user combined like terms correctly.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 4 = 5." }, { "from": "human", "value": "x = 20" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: user solved correctly.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 4 = 5." }, { "from": "human", "value": "x = 20" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: user solved correctly.\"}" } ]
[ { "from": "gpt", "value": "Find y - intercept of y = - 4x + 7." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct intercept.\"}" } ]
[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct solution.\"}" } ]
[ { "from": "gpt", "value": "Solve: 5x + 2 = 12." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not understand subtraction step.\"}" } ]
[ { "from": "gpt", "value": "Find slope of line through (1,4),(2,8)." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake in rise / run.\"}" } ]
[ { "from": "gpt", "value": "Find y - intercept of y = - 4x + 7." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct intercept.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 2(x + 3)." }, { "from": "human", "value": "2x + 3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User did not distribute the multiplier across both terms.\"}" } ]
[ { "from": "gpt", "value": "Translate: 'x is at most 3'." }, { "from": "human", "value": "x<3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User wrote < instead of.\"}" } ]
[ { "from": "gpt", "value": "Solve: -x>2." }, { "from": "human", "value": "x<-2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of sign flip.\"}" } ]
[ { "from": "gpt", "value": "Solve: x+5>8." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct inequality solution.\"}" } ]
[ { "from": "gpt", "value": "Graph line through (0,0) slope 3." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did not plot correctly.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x\| = 5." }, { "from": "human", "value": "x = 5, - 5" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: both solutions given.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 2(x + 3)." }, { "from": "human", "value": "2x + 3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User did not distribute the multiplier across both terms.\"}" } ]
[ { "from": "gpt", "value": "Describe 'perpendicular slope'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated definition.\"}" } ]
[ { "from": "gpt", "value": "Graph y = - x + 2, identify slope." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed sign of slope.\"}" } ]
[ { "from": "gpt", "value": "Explain absolute value." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with absolute value.\"}" } ]
[ { "from": "gpt", "value": "Graph x<2 and x> -1." }, { "from": "human", "value": "2>x>-1" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed interval endpoints.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x\| = 5." }, { "from": "human", "value": "x = 5, - 5" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: both solutions given.\"}" } ]
[ { "from": "gpt", "value": "Solve: 5x + 2 = 12." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not understand subtraction step.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 2 = 4." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User halved instead of multiplying when isolating x.\"}" } ]
[ { "from": "gpt", "value": "Solve: 4x = 20." }, { "from": "human", "value": "x = 6" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error dividing 20 by 4.\"}" } ]
[ { "from": "gpt", "value": "Identify x - intercept of y = 3x + 6." }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User confused x and y intercept.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x\| = 4." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User omitted negative solution.\"}" } ]
[ { "from": "gpt", "value": "Define inequality." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User doesn't know inequality meaning.\"}" } ]
[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct solution.\"}" } ]
[ { "from": "gpt", "value": "Solve: - 2x > = 4." }, { "from": "human", "value": "x > = - 2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Sign error flipping inequality.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 2 = 4." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User halved instead of multiplying when isolating x.\"}" } ]
[ { "from": "gpt", "value": "Combine: \|x\| and x." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated operation.\"}" } ]
[ { "from": "gpt", "value": "Find slope from (2,3) and (4,7)." }, { "from": "human", "value": "4" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of slope formula.\"}" } ]
[ { "from": "gpt", "value": "Solve: 4x = 20." }, { "from": "human", "value": "x = 6" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error dividing 20 by 4.\"}" } ]
[ { "from": "gpt", "value": "Solve: -x>2." }, { "from": "human", "value": "x<-2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of sign flip.\"}" } ]
[ { "from": "gpt", "value": "Solve: 3x - 2 = 7." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct isolation of x.\"}" } ]
[ { "from": "gpt", "value": "Graph x > = - 1 on number line." }, { "from": "human", "value": "x > = - 1" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct graph.\"}" } ]
[ { "from": "gpt", "value": "Graph x > = - 1 on number line." }, { "from": "human", "value": "x > = - 1" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct graph.\"}" } ]
[ { "from": "gpt", "value": "Combine: 5 + 3." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"User added incorrectly.\"}" } ]
[ { "from": "gpt", "value": "Simplify: \|x+2\|." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave incorrect simplification.\"}" } ]
[ { "from": "gpt", "value": "Solve: x+3>5." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User wrote x < 3, reversed inequality.\"}" } ]
[ { "from": "gpt", "value": "Explain the term 'variable'." }, { "from": "human", "value": "a symbol representing a number" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user did not know the concept of a variable.\"}" } ]
[ { "from": "gpt", "value": "Simplify: 7x - 2x." }, { "from": "human", "value": "5" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"User forgot to keep variable.\"}" } ]
[ { "from": "gpt", "value": "Write equation from slope 2 and intercept 3." }, { "from": "human", "value": "x = 2y + 3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misused formula.\"}" } ]
[ { "from": "gpt", "value": "Simplify: x + x + x." }, { "from": "human", "value": "3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misunderstood combining like terms.\"}" } ]
[ { "from": "gpt", "value": "Convert 4x - 2y = 8 to slope - intercept." }, { "from": "human", "value": "y = 4x - 8" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake dividing by - 2.\"}" } ]
[ { "from": "gpt", "value": "Solve: x - 5 = 3." }, { "from": "human", "value": "x = 8" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added instead of subtracting.\"}" } ]
[ { "from": "gpt", "value": "Combine like terms: 2a + 3a." }, { "from": "human", "value": "5a" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: combined correctly.\"}" } ]
[ { "from": "gpt", "value": "Translate: 'three more than m'." }, { "from": "human", "value": "m + 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct translation.\"}" } ]
[ { "from": "gpt", "value": "Solve: \|x-1\|<3." }, { "from": "human", "value": "-2<x<4" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct compound inequality.\"}" } ]
[ { "from": "gpt", "value": "Simplify: \|x+2\|." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave incorrect simplification.\"}" } ]
[ { "from": "gpt", "value": "Translate: 'five more than a number x'." }, { "from": "human", "value": "5x" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user misinterpreted the verbal to algebraic translation.\"}" } ]
[ { "from": "gpt", "value": "Translate: 'three more than m'." }, { "from": "human", "value": "m + 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct translation.\"}" } ]
[ { "from": "gpt", "value": "Define 'like terms'." }, { "from": "human", "value": "terms with same variables and exponents" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user is unsure of the definition of like terms.\"}" } ]
[ { "from": "gpt", "value": "Solve: x / 3 = 9." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did inverse operation wrong.\"}" } ]
[ { "from": "gpt", "value": "Solve for y: 2x + 3y = 6." }, { "from": "human", "value": "y = 2x + 2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake in isolation.\"}" } ]
[ { "from": "gpt", "value": "Describe 'perpendicular slope'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated definition.\"}" } ]
[ { "from": "gpt", "value": "Convert x + 2y = 8 to y =" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User stuck on algebraic manipulation.\"}" } ]

[ { "from": "gpt", "value": "What is slope-intercept form?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User does not know slope - intercept form.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x-1|<3." }, { "from": "human", "value": "-2<x<4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User miscalculated endpoints.\"}" } ]

[ { "from": "gpt", "value": "What is solution to 3 < = x - 2?" }, { "from": "human", "value": "x > = 5" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added incorrectly.\"}" } ]

[ { "from": "gpt", "value": "Solve: 3x-2<7." }, { "from": "human", "value": "x<3" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake isolating x.\"}" } ]

[ { "from": "gpt", "value": "Write equation y = 2x + 3 in point - slope form." }, { "from": "human", "value": "y - 3 = 2 ( x )" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User misapplied form conversion.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x| = 4." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User omitted negative solution.\"}" } ]

[ { "from": "gpt", "value": "Combine: 2x + 3y like terms." }, { "from": "human", "value": "5xy" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User tried to combine unlike terms.\"}" } ]

[ { "from": "gpt", "value": "Graph y = - x + 2, identify slope." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed sign of slope.\"}" } ]

[ { "from": "gpt", "value": "Define 'interval notation'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User doesn't know interval notation.\"}" } ]

[ { "from": "gpt", "value": "What is the result of 0*x?" }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not grasp zero property.\"}" } ]

[ { "from": "gpt", "value": "Solve: x+5>8." }, { "from": "human", "value": "x>2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error: 8 - 5 = 2 instead of 3.\"}" } ]

[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User solved incorrectly direction.\"}" } ]

[ { "from": "gpt", "value": "Convert 3x - y = 6 to y = 3x - 6." }, { "from": "human", "value": "y = 3x - 6" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct form.\"}" } ]

[ { "from": "gpt", "value": "What is solution to 3 < = x - 2?" }, { "from": "human", "value": "x > = 5" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added incorrectly.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 3(x + 2)." }, { "from": "human", "value": "3x + 2" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User omitted distribution step.\"}" } ]

[ { "from": "gpt", "value": "Solve: 5 < = x + 1." }, { "from": "human", "value": "x < = 4" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake direction.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x - 3| = 2." }, { "from": "human", "value": "x = 1" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave single solution.\"}" } ]

[ { "from": "gpt", "value": "Find slope of y = 4x - 1." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User mixed variable and coefficient.\"}" } ]

[ { "from": "gpt", "value": "Solve: |2x + 1| > = 3." }, { "from": "human", "value": "2x + 1 > = 3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User didn't include both cases.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 3(a - 2)." }, { "from": "human", "value": "3a - 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User applied distribution to only one term.\"}" } ]

[ { "from": "gpt", "value": "Write y - 1 = 2 ( x - 3 ) from slope 2 intercept 1." }, { "from": "human", "value": "y - 1 = 2 ( x - 3 )" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct form.\"}" } ]

[ { "from": "gpt", "value": "Graph line y = 5x + 1, identify intercept." }, { "from": "human", "value": "x = 1" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User confused intercept types.\"}" } ]

[ { "from": "gpt", "value": "What is slope-intercept form?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User does not know slope - intercept form.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 2y - y." }, { "from": "human", "value": "y - 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of subtraction of like terms.\"}" } ]

[ { "from": "gpt", "value": "Explain 'parallel lines'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User is new to parallel line definition.\"}" } ]

[ { "from": "gpt", "value": "Solve: 3x - 2 = 7." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct isolation of x.\"}" } ]

[ { "from": "gpt", "value": "Translate: 'seven less than n'." }, { "from": "human", "value": "n - 7" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User wrote 7 - n instead of n - 7.\"}" } ]

[ { "from": "gpt", "value": "Solve: x + 5 > 8." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct inequality solution.\"}" } ]

[ { "from": "gpt", "value": "Solve: x + 3 > 5." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User wrote x < 3, reversed inequality.\"}" } ]

[ { "from": "gpt", "value": "Find slope from (0,5) and (5,0)." }, { "from": "human", "value": "-1" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct slope.\"}" } ]

[ { "from": "gpt", "value": "What is the result of 0*x?" }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not grasp zero property.\"}" } ]

[ { "from": "gpt", "value": "Solve: 2x-1*3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User solved incorrectly direction.\"}" } ]

[ { "from": "gpt", "value": "Graph line through (0,0) slope 3." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did not plot correctly.\"}" } ]

[ { "from": "gpt", "value": "What is a coefficient in 3x + 2?" }, { "from": "human", "value": "3x" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user seems unfamiliar with the definition of coefficient.\"}" } ]

[ { "from": "gpt", "value": "Define 'slope'." }, { "from": "human", "value": "rise/run" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with slope concept.\"}" } ]

[ { "from": "gpt", "value": "Solve: x/2>3." }, { "from": "human", "value": "x>6" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misunderstood division in inequalities.\"}" } ]

[ { "from": "gpt", "value": "Solve: x / 3 = 9." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did inverse operation wrong.\"}" } ]

[ { "from": "gpt", "value": "Combine: |x| and x." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated operation.\"}" } ]

[ { "from": "gpt", "value": "What is a compound inequality?" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User new to compound inequalities.\"}" } ]

[ { "from": "gpt", "value": "Find slope from (2,3) and (4,7)." }, { "from": "human", "value": "4" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of slope formula.\"}" } ]

[ { "from": "gpt", "value": "Write equation y = 2x + 3 in point - slope form." }, { "from": "human", "value": "y - 3 = 2 ( x )" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User misapplied form conversion.\"}" } ]

[ { "from": "gpt", "value": "Explain absolute value." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with absolute value.\"}" } ]

[ { "from": "gpt", "value": "Combine like terms: 4x + 5x." }, { "from": "human", "value": "9" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User dropped variable when combining.\"}" } ]

[ { "from": "gpt", "value": "Identify x - intercept of y = 3x + 6." }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User confused x and y intercept.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 4x + 3x." }, { "from": "human", "value": "7x" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: user combined like terms correctly.\"}" } ]

[ { "from": "gpt", "value": "Solve: x / 4 = 5." }, { "from": "human", "value": "x = 20" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: user solved correctly.\"}" } ]

[ { "from": "gpt", "value": "Find y - intercept of y = - 4x + 7." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct intercept.\"}" } ]

[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct solution.\"}" } ]

[ { "from": "gpt", "value": "Solve: 5x + 2 = 12." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not understand subtraction step.\"}" } ]

[ { "from": "gpt", "value": "Find slope of line through (1,4),(2,8)." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake in rise / run.\"}" } ]

[ { "from": "gpt", "value": "Find y - intercept of y = - 4x + 7." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct intercept.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 2(x + 3)." }, { "from": "human", "value": "2x + 3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User did not distribute the multiplier across both terms.\"}" } ]

[ { "from": "gpt", "value": "Translate: 'x is at most 3'." }, { "from": "human", "value": "x<3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User wrote < instead of.\"}" } ]

[ { "from": "gpt", "value": "Solve: -x>2." }, { "from": "human", "value": "x<-2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of sign flip.\"}" } ]

[ { "from": "gpt", "value": "Solve: x+5>8." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct inequality solution.\"}" } ]

[ { "from": "gpt", "value": "Graph line through (0,0) slope 3." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did not plot correctly.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x| = 5." }, { "from": "human", "value": "x = 5, - 5" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: both solutions given.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 2(x + 3)." }, { "from": "human", "value": "2x + 3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User did not distribute the multiplier across both terms.\"}" } ]

[ { "from": "gpt", "value": "Describe 'perpendicular slope'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated definition.\"}" } ]

[ { "from": "gpt", "value": "Graph y = - x + 2, identify slope." }, { "from": "human", "value": "2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed sign of slope.\"}" } ]

[ { "from": "gpt", "value": "Explain absolute value." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User unfamiliar with absolute value.\"}" } ]

[ { "from": "gpt", "value": "Graph x<2 and x> -1." }, { "from": "human", "value": "2>x>-1" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User reversed interval endpoints.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x| = 5." }, { "from": "human", "value": "x = 5, - 5" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: both solutions given.\"}" } ]

[ { "from": "gpt", "value": "Solve: 5x + 2 = 12." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User did not understand subtraction step.\"}" } ]

[ { "from": "gpt", "value": "Solve: x / 2 = 4." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User halved instead of multiplying when isolating x.\"}" } ]

[ { "from": "gpt", "value": "Solve: 4x = 20." }, { "from": "human", "value": "x = 6" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error dividing 20 by 4.\"}" } ]

[ { "from": "gpt", "value": "Identify x - intercept of y = 3x + 6." }, { "from": "human", "value": "0" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User confused x and y intercept.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x| = 4." }, { "from": "human", "value": "x = 4" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User omitted negative solution.\"}" } ]

[ { "from": "gpt", "value": "Define inequality." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"User doesn't know inequality meaning.\"}" } ]

[ { "from": "gpt", "value": "Solve: 2x - 1 < = 3." }, { "from": "human", "value": "x < = 2" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct solution.\"}" } ]

[ { "from": "gpt", "value": "Solve: - 2x > = 4." }, { "from": "human", "value": "x > = - 2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Sign error flipping inequality.\"}" } ]

[ { "from": "gpt", "value": "Solve: x / 2 = 4." }, { "from": "human", "value": "x = 2" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User halved instead of multiplying when isolating x.\"}" } ]

[ { "from": "gpt", "value": "Combine: |x| and x." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated operation.\"}" } ]

[ { "from": "gpt", "value": "Find slope from (2,3) and (4,7)." }, { "from": "human", "value": "4" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of slope formula.\"}" } ]

[ { "from": "gpt", "value": "Solve: 4x = 20." }, { "from": "human", "value": "x = 6" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation error dividing 20 by 4.\"}" } ]

[ { "from": "gpt", "value": "Solve: -x>2." }, { "from": "human", "value": "x<-2" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User lacks understanding of sign flip.\"}" } ]

[ { "from": "gpt", "value": "Solve: 3x - 2 = 7." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct isolation of x.\"}" } ]

[ { "from": "gpt", "value": "Graph x > = - 1 on number line." }, { "from": "human", "value": "x > = - 1" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct graph.\"}" } ]

[ { "from": "gpt", "value": "Combine: 5 + 3." }, { "from": "human", "value": "7" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"User added incorrectly.\"}" } ]

[ { "from": "gpt", "value": "Simplify: |x+2|." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave incorrect simplification.\"}" } ]

[ { "from": "gpt", "value": "Solve: x+3>5." }, { "from": "human", "value": "x>3" }, { "from": "gpt", "value": "{\"error\": 2, \"info\": \"User wrote x < 3, reversed inequality.\"}" } ]

[ { "from": "gpt", "value": "Explain the term 'variable'." }, { "from": "human", "value": "a symbol representing a number" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user did not know the concept of a variable.\"}" } ]

[ { "from": "gpt", "value": "Simplify: 7x - 2x." }, { "from": "human", "value": "5" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"User forgot to keep variable.\"}" } ]

[ { "from": "gpt", "value": "Write equation from slope 2 and intercept 3." }, { "from": "human", "value": "x = 2y + 3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misused formula.\"}" } ]

[ { "from": "gpt", "value": "Simplify: x + x + x." }, { "from": "human", "value": "3" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User misunderstood combining like terms.\"}" } ]

[ { "from": "gpt", "value": "Convert 4x - 2y = 8 to slope - intercept." }, { "from": "human", "value": "y = 4x - 8" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Calculation mistake dividing by - 2.\"}" } ]

[ { "from": "gpt", "value": "Solve: x - 5 = 3." }, { "from": "human", "value": "x = 8" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User added instead of subtracting.\"}" } ]

[ { "from": "gpt", "value": "Combine like terms: 2a + 3a." }, { "from": "human", "value": "5a" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: combined correctly.\"}" } ]

[ { "from": "gpt", "value": "Translate: 'three more than m'." }, { "from": "human", "value": "m + 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct translation.\"}" } ]

[ { "from": "gpt", "value": "Solve: |x-1|<3." }, { "from": "human", "value": "-2<x<4" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct compound inequality.\"}" } ]

[ { "from": "gpt", "value": "Simplify: |x+2|." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave incorrect simplification.\"}" } ]

[ { "from": "gpt", "value": "Translate: 'five more than a number x'." }, { "from": "human", "value": "5x" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user misinterpreted the verbal to algebraic translation.\"}" } ]

[ { "from": "gpt", "value": "Translate: 'three more than m'." }, { "from": "human", "value": "m + 3" }, { "from": "gpt", "value": "{\"error\": 6, \"info\": \"No error: correct translation.\"}" } ]

[ { "from": "gpt", "value": "Define 'like terms'." }, { "from": "human", "value": "terms with same variables and exponents" }, { "from": "gpt", "value": "{\"error\": 1, \"info\": \"The user is unsure of the definition of like terms.\"}" } ]

[ { "from": "gpt", "value": "Solve: x / 3 = 9." }, { "from": "human", "value": "x = 3" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User did inverse operation wrong.\"}" } ]

[ { "from": "gpt", "value": "Solve for y: 2x + 3y = 6." }, { "from": "human", "value": "y = 2x + 2" }, { "from": "gpt", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake in isolation.\"}" } ]

[ { "from": "gpt", "value": "Describe 'perpendicular slope'." }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 5, \"info\": \"User gave unrelated definition.\"}" } ]

[ { "from": "gpt", "value": "Convert x + 2y = 8 to y =" }, { "from": "human", "value": "N/A" }, { "from": "gpt", "value": "{\"error\": 3, \"info\": \"User stuck on algebraic manipulation.\"}" } ]