Math Blaster: Asteroid Attack

{"name":"Math Blaster: Asteroid Attack","description":"Engage in a mathematical space adventure! Plot linear equations to blast asteroids and save your spaceship from destruction in 'Math Blaster: Asteroid Attack'!","photo":null,"view_count":6,"fork_count":0,"expires_at":null,"created_at":"2024-04-08T22:07:33.246642Z","updated_at":"2024-04-08T22:07:33.246644Z","user_id":2,"status":"PUBLIC","parent_id":951,"id":1091,"user":{"photo":null,"email":null,"recess_id":"a75a82d5-5ae6-41b7-d20f-788415be036d","created_at":"2023-12-11T22:13:50.357940Z","reset_token":null,"stripe_customer_id":null,"seats":null,"username":"gamerc0der","id":2,"password_hash":null,"updated_at":"2023-12-11T22:13:50.357943Z","reset_token_expiry":null,"subscription_status":null},"code":{"script.js":"let spaceshipImage;\nlet asteroidImage;\nlet asteroidX, asteroidY; // Variables to hold the asteroid's position\nlet gridUnit; // Variable to hold the size of one grid unit\nlet horizontalMargin, verticalMargin; // Variables to hold the margins for centering the grid\nlet currentM = null; // Global variable to store the current slope\nlet laserEndPointX = null; // Track the current endpoint of the laser (X coordinate)\nlet currentB = null;\nlet laserEndPointY = null; // Track the current endpoint of the laser (Y coordinate)\nlet laserAnimating = false; // Flag to track if the laser is currently animating\n\nfunction preload() {\n spaceshipImage = loadImage('@asset(\"ship\")'); // Using @asset to ensure correct path\n asteroidImage = loadImage('@asset(\"astroid\")'); // Using @asset to ensure correct path\n}\n\nfunction setup() {\n createCanvas(windowWidth, windowHeight - 40);\n background(0);\n\n let minDimension = min(windowWidth, windowHeight - 40);\n let gridSize = minDimension - (minDimension % 20);\n gridUnit = gridSize / 20;\n\n horizontalMargin = (windowWidth - gridSize) / 2;\n verticalMargin = ((windowHeight - 40) - gridSize) / 2;\n\n asteroidX = horizontalMargin + Math.floor(random(0, 20)) * gridUnit;\n asteroidY = verticalMargin + Math.floor(random(0, 20)) * gridUnit;\n}\n\nfunction draw() {\n drawGrid();\n drawSpaceship();\n drawAsteroid();\n\n if (currentM !== null && laserAnimating) {\n extendLaserTowardsAsteroid();\n }\n}\n\nfunction drawGrid() {\n background(0);\n translate(horizontalMargin, verticalMargin);\n\n stroke(255, 255, 255, 100);\n for (let x = 0; x <= 20 * gridUnit; x += gridUnit) {\n line(x, 0, x, 20 * gridUnit);\n }\n for (let y = 0; y <= 20 * gridUnit; y += gridUnit) {\n line(0, y, 20 * gridUnit, y);\n }\n\n stroke(255, 0, 0);\n strokeWeight(2);\n line(10 * gridUnit, 0, 10 * gridUnit, 20 * gridUnit);\n line(0, 10 * gridUnit, 20 * gridUnit, 10 * gridUnit);\n strokeWeight(1);\n\n translate(-horizontalMargin, -verticalMargin);\n}\n\nfunction drawSpaceship() {\n let spaceshipX = horizontalMargin + 10 * gridUnit;\n let spaceshipY = verticalMargin + 10 * gridUnit;\n imageMode(CENTER);\n image(spaceshipImage, spaceshipX, spaceshipY, 50, 50);\n}\n\nfunction drawAsteroid() {\n imageMode(CENTER);\n image(asteroidImage, asteroidX, asteroidY, 25, 25);\n}\n\nfunction checkEquation() {\n let equation = document.getElementById(\"equationInput\").value;\n let parts = equation.match(/y\\s*=\\s*([-]?(\\d+\\/\\d+|\\d+\\.\\d+|\\d+|\\d*))\\s*x\\s*(?:\\+\\s*([-]?(\\d+\\/\\d+|\\d+\\.\\d+|\\d+)))?/);\n if (parts) {\n let m = parts[1].includes('/') ? eval(parts[1]) : parseFloat(parts[1] || \"1\"); // Default slope to 1 if omitted\n let b = parts[3] ? (parts[3].includes('/') ? eval(parts[3]) : parseFloat(parts[3])) : 0; // Parse b if it exists, default to 0\n currentM = m;\n currentB = b; // Store the intercept value globally (assuming you've declared currentB at the global scope)\n laserAnimating = true; // Start animating the laser\n laserEndPointX = horizontalMargin + 10 * gridUnit; // Reset the laser endpoint to the spaceship's position\n laserEndPointY = verticalMargin + 10 * gridUnit - b * gridUnit; // Adjust the starting Y coordinate based on b\n } else {\n console.error(\"Invalid equation format. Please use 'y=mx+b' or 'y=mx'.\");\n }\n}\nfunction extendLaserTowardsAsteroid() {\n if (!laserAnimating) return;\n\n // Invert the slope for flipping the line direction\n let invertedM = -currentM;\n let b = currentB;\n\n // Calculate line start and end points to make it span the entire grid\n let lineStartX, lineStartY, lineEndX, lineEndY;\n\n // Calculate intersections with the grid's vertical bounds, adjusted for inverted slope\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n lineStartX = (lineStartY - b * gridUnit) / invertedM + 10 * gridUnit;\n lineEndX = (lineEndY - b * gridUnit) / invertedM + 10 * gridUnit;\n\n // Adjust for vertical lines (infinite slope)\n if (invertedM === Infinity || invertedM === -Infinity) {\n lineStartX = lineEndX = 10 * gridUnit;\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n }\n\n // Adjust for horizontal lines (zero slope)\n if (invertedM === 0) {\n lineStartX = 0;\n lineEndX = 20 * gridUnit;\n lineStartY = lineEndY = (10 - b) * gridUnit;\n }\n\n stroke(255, 0, 0); // Laser color\n strokeWeight(4); // Laser thickness\n line(horizontalMargin + lineStartX, verticalMargin + lineStartY, horizontalMargin + lineEndX, verticalMargin + lineEndY);\n}\nfunction explodeAsteroid(x, y) {\n for (let i = 0; i < 50; i++) {\n let angle = random(TWO_PI);\n let speed = random(2, 5);\n let dx = cos(angle) * speed;\n let dy = sin(angle) * speed;\n stroke(150); // Gray particles\n strokeWeight(4);\n point(x + dx, y + dy);\n }\n}\n\nfunction spawnNewAsteroid() {\n asteroidX = horizontalMargin + Math.floor(random(0, 20)) * gridUnit;\n asteroidY = verticalMargin + Math.floor(random(0, 20)) * gridUnit;\n}","style.css":"","index.html":"\n\n\n \n \n Math Blaster: Asteroid Attack\n \n\n\n \n \n \n\n"},"chat_history":[{"message":"its going the wrong direction it goes bottom righ when y=1x but should go top right","project_id":1091,"created_at":"2024-04-08T23:01:18.410076Z","output_tokens":null,"sender":"human","code_id":62486,"deleted":0,"input_tokens":null,"id":34454},{"message":"```javascript\nfunction extendLaserTowardsAsteroid() {\n if (!laserAnimating) return;\n\n let speed = 25; // Control the speed of the laser animation\n let spaceshipX = horizontalMargin + 10 * gridUnit;\n let spaceshipY = verticalMargin + 10 * gridUnit;\n\n if (currentM !== 0) { // Avoid division by zero for horizontal lines\n laserEndPointX += speed;\n laserEndPointY -= speed * currentM; // Adjust direction based on slope\n } else {\n // For a horizontal line (m = 0), just move in the x direction\n laserEndPointX += speed;\n }\n\n stroke(255, 0, 0); // Laser color\n strokeWeight(4); // Laser thickness\n line(spaceshipX, spaceshipY, laserEndPointX, laserEndPointY);\n\n // Check if the laser has hit the asteroid\n if (dist(laserEndPointX, laserEndPointY, asteroidX, asteroidY) < 25) {\n laserAnimating = false; // Stop animating the laser\n explodeAsteroid(asteroidX, asteroidY); // Explode the asteroid\n spawnNewAsteroid(); // Spawn a new asteroid\n }\n}\n```\n\n- The laser's Y-coordinate update logic has been corrected to subtract the product of `speed` and `currentM`. This accounts for the inverted Y-axis in p5.js, where a positive slope should decrease Y to move up.\n- By subtracting `speed * currentM` from `laserEndPointY`, the laser correctly moves upwards for positive slopes and downwards for negative slopes, aligning with mathematical conventions on the coordinate grid.\n- This change ensures that when the slope (`currentM`) is positive, the laser extends top-right, and for negative slopes, it extends bottom-right, reflecting the expected behavior of a linear function in a Cartesian coordinate system.","project_id":1091,"created_at":"2024-04-08T23:01:18.417058Z","output_tokens":null,"sender":"ai","code_id":62486,"deleted":0,"input_tokens":null,"id":34455},{"message":"in check equstion also get b if it exists","project_id":1091,"created_at":"2024-04-08T23:04:07.344273Z","output_tokens":null,"sender":"human","code_id":62488,"deleted":0,"input_tokens":null,"id":34456},{"message":"```javascript\nfunction checkEquation() {\n let equation = document.getElementById(\"equationInput\").value;\n let parts = equation.match(/y\\s*=\\s*([-]?(\\d+\\/\\d+|\\d+\\.\\d+|\\d+|\\d*))\\s*x\\s*(?:\\+\\s*([-]?(\\d+\\/\\d+|\\d+\\.\\d+|\\d+)))?/);\n if (parts) {\n let m = parts[1].includes('/') ? eval(parts[1]) : parseFloat(parts[1] || \"1\"); // Default slope to 1 if omitted\n let b = parts[3] ? (parts[3].includes('/') ? eval(parts[3]) : parseFloat(parts[3])) : 0; // Parse b if it exists, default to 0\n currentM = m;\n currentB = b; // Store the intercept value globally (assuming you've declared currentB at the global scope)\n laserAnimating = true; // Start animating the laser\n laserEndPointX = horizontalMargin + 10 * gridUnit; // Reset the laser endpoint to the spaceship's position\n laserEndPointY = verticalMargin + 10 * gridUnit - b * gridUnit; // Adjust the starting Y coordinate based on b\n } else {\n console.error(\"Invalid equation format. Please use 'y=mx+b' or 'y=mx'.\");\n }\n}\n```\n\n- The `checkEquation` function now extracts the `b` value (y-intercept) from the entered equation if it exists and parses it correctly, handling both integer and fraction forms.\n- It introduces a new global variable `currentB` to store the y-intercept, which must be declared in the global scope similar to `currentM`.\n- The starting Y coordinate for the laser (`laserEndPointY`) is now adjusted based on the y-intercept `b`, accounting for the equation's full form `y=mx+b`. This means the laser animation will initiate from the correct position according to the entered equation.","project_id":1091,"created_at":"2024-04-08T23:04:07.353584Z","output_tokens":null,"sender":"ai","code_id":62488,"deleted":0,"input_tokens":null,"id":34457},{"message":"i need to add the y intercept to our laser extend code how?","project_id":1091,"created_at":"2024-04-08T23:08:35.832189Z","output_tokens":null,"sender":"human","code_id":62495,"deleted":0,"input_tokens":null,"id":34458},{"message":"```javascript\nfunction extendLaserTowardsAsteroid() {\n if (!laserAnimating) return;\n\n let speed = 25; // Control the speed of the laser animation\n let spaceshipX = horizontalMargin + 10 * gridUnit;\n // Adjust the starting Y coordinate based on b, to account for the y-intercept\n let spaceshipY = verticalMargin + 10 * gridUnit - currentB * gridUnit;\n\n if (currentM !== 0) { // Avoid division by zero for horizontal lines\n laserEndPointX += speed;\n laserEndPointY -= speed * currentM; // Adjust direction based on slope\n } else {\n // For a horizontal line (m = 0), just move in the x direction\n laserEndPointX += speed;\n }\n\n stroke(255, 0, 0); // Laser color\n strokeWeight(4); // Laser thickness\n line(spaceshipX, spaceshipY, laserEndPointX, laserEndPointY);\n\n // Check if the laser has hit the asteroid\n if (dist(laserEndPointX, laserEndPointY, asteroidX, asteroidY) < 25) {\n laserAnimating = false; // Stop animating the laser\n explodeAsteroid(asteroidX, asteroidY); // Explode the asteroid\n spawnNewAsteroid(); // Spawn a new asteroid\n }\n}\n```\n\n- The starting Y position of the spaceship (`spaceshipY`) is modified to account for the y-intercept (`currentB`). This ensures the laser animation begins from the correct vertical position according to the linear equation's y-intercept.\n- The laser's extension logic remains the same, but now it dynamically adjusts based on both the slope (`currentM`) and the y-intercept (`currentB`), allowing for accurate representation of the entered equation.\n- This adjustment helps to visually demonstrate the effect of the y-intercept on the linear equation, making the game more educational and accurate in depicting mathematical concepts.","project_id":1091,"created_at":"2024-04-08T23:08:35.839848Z","output_tokens":null,"sender":"ai","code_id":62495,"deleted":0,"input_tokens":null,"id":34459},{"message":"make the line infniite for both directions","project_id":1091,"created_at":"2024-04-08T23:09:27.390124Z","output_tokens":null,"sender":"human","code_id":62497,"deleted":0,"input_tokens":null,"id":34460},{"message":"To make the laser line appear infinite in both directions, you'll want to calculate where the line would intersect the edges of your grid, based on the slope (`currentM`) and y-intercept (`currentB`). This calculation allows the line to extend to the bounds of your grid, making it appear as if it's infinite within the visible area.\n\nHere's how you can adjust the `extendLaserTowardsAsteroid` function:\n\n```javascript\nfunction extendLaserTowardsAsteroid() {\n if (!laserAnimating) return;\n\n // Calculate line start and end points to make it span the entire grid\n let lineStartX, lineStartY, lineEndX, lineEndY;\n\n // Calculate intersections with the grid's vertical bounds\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n lineStartX = (lineStartY - currentB * gridUnit) / currentM + 10 * gridUnit;\n lineEndX = (lineEndY - currentB * gridUnit) / currentM + 10 * gridUnit;\n\n // Adjust for vertical lines (infinite slope)\n if (currentM === Infinity || currentM === -Infinity) {\n lineStartX = lineEndX = 10 * gridUnit;\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n }\n\n // Adjust for horizontal lines (zero slope)\n if (currentM === 0) {\n lineStartX = 0;\n lineEndX = 20 * gridUnit;\n lineStartY = lineEndY = (10 - currentB) * gridUnit;\n }\n\n stroke(255, 0, 0); // Laser color\n strokeWeight(4); // Laser thickness\n line(horizontalMargin + lineStartX, verticalMargin + lineStartY, horizontalMargin + lineEndX, verticalMargin + lineEndY);\n\n // No need to check for asteroid hit in this function anymore\n}\n```\n- The function now calculates where the laser line intersects with the top and bottom edges of the grid. This is done by solving for `x` in the equation of the line `y = mx + b`, where `y` is the y-coordinate of the grid's edge.\n- For vertical lines (where the slope is infinite), the line is drawn from the top to the bottom of the grid at the x-coordinate of the spaceship.\n- For horizontal lines (where the slope is zero), the line is drawn across the entire width of the grid at the y-coordinate determined by the y-intercept.\n- This approach ensures that the laser line looks infinite within the confines of the grid, covering all possible directions.\n\nNote: This code assumes that your grid is centered around `(10, 10)` in grid units and spans 20 units in both directions. Adjust the numbers accordingly if your grid setup differs.","project_id":1091,"created_at":"2024-04-08T23:09:27.396743Z","output_tokens":null,"sender":"ai","code_id":62497,"deleted":0,"input_tokens":null,"id":34461},{"message":"flip it 180","project_id":1091,"created_at":"2024-04-08T23:09:58.582493Z","output_tokens":null,"sender":"human","code_id":62499,"deleted":0,"input_tokens":null,"id":34462},{"message":"To flip the spaceship image 180 degrees, you will need to adjust the `drawSpaceship` function. This involves using the `push()`, `pop()`, and `rotate()` functions provided by p5.js to manipulate the drawing context and apply transformations such as rotations.\n\nHere's how you can modify the `drawSpaceship` function to flip the spaceship image:\n\n```javascript\nfunction drawSpaceship() {\n let spaceshipX = horizontalMargin + 10 * gridUnit;\n let spaceshipY = verticalMargin + 10 * gridUnit;\n push(); // Save the current drawing context state\n translate(spaceshipX, spaceshipY); // Move the origin to the spaceship's position\n rotate(PI); // Rotate the drawing context by 180 degrees (PI radians)\n imageMode(CENTER);\n image(spaceshipImage, 0, 0, 50, 50); // Draw the image at the new origin\n pop();","project_id":1091,"created_at":"2024-04-08T23:09:58.588955Z","output_tokens":null,"sender":"ai","code_id":62499,"deleted":0,"input_tokens":null,"id":34463},{"message":"no flip the line 180 not the image","project_id":1091,"created_at":"2024-04-08T23:10:11.007229Z","output_tokens":null,"sender":"human","code_id":62500,"deleted":0,"input_tokens":null,"id":34464},{"message":"To flip the direction of the laser line 180 degrees from its current direction, you can adjust the calculation of the line's start and end points in the `extendLaserTowardsAsteroid` function. This involves inverting the slope (`currentM`) and adjusting the calculation to reflect the line's new direction. \n\nHere's the adjusted `extendLaserTowardsAsteroid` function:\n\n```javascript\nfunction extendLaserTowardsAsteroid() {\n if (!laserAnimating) return;\n\n // Invert the slope for flipping the line direction\n let invertedM = -currentM;\n let b = currentB;\n\n // Calculate line start and end points to make it span the entire grid\n let lineStartX, lineStartY, lineEndX, lineEndY;\n\n // Calculate intersections with the grid's vertical bounds, adjusted for inverted slope\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n lineStartX = (lineStartY - b * gridUnit) / invertedM + 10 * gridUnit;\n lineEndX = (lineEndY - b * gridUnit) / invertedM + 10 * gridUnit;\n\n // Adjust for vertical lines (infinite slope)\n if (invertedM === Infinity || invertedM === -Infinity) {\n lineStartX = lineEndX = 10 * gridUnit;\n lineStartY = 0;\n lineEndY = 20 * gridUnit;\n }\n\n // Adjust for horizontal lines (zero slope)\n if (invertedM === 0) {\n lineStartX = 0;\n lineEndX = 20 * gridUnit;\n lineStartY = lineEndY = (10 - b) * gridUnit;\n }\n\n stroke(255, 0, 0); // Laser color\n strokeWeight(4); // Laser thickness\n line(horizontalMargin + lineStartX, verticalMargin + lineStartY, horizontalMargin + lineEndX, verticalMargin + lineEndY);\n}\n```\n\n- The slope (`currentM`) is inverted by multiplying it by -1 to flip the direction. This effectively rotates the line 180 degrees around the spaceship's position.\n- The calculations for `lineStartX`, `lineStartY`, `lineEndX`, and `lineEndY` are adjusted to use the inverted slope (`invertedM`) while maintaining the same logic for calculating the line's start and end points on the grid.\n- This adjustment makes the line appear as if it's extending in the opposite direction from its original path, creating the effect of flipping it 180 degrees.","project_id":1091,"created_at":"2024-04-08T23:10:11.014459Z","output_tokens":null,"sender":"ai","code_id":62500,"deleted":0,"input_tokens":null,"id":34465},{"message":"y=3x+15 works but not 3x-15","project_id":1091,"created_at":"2024-04-08T23:12:25.821287Z","output_tokens":null,"sender":"human","code_id":62504,"deleted":0,"input_tokens":null,"id":34466},{"message":"The issue with handling equations like `y=3x-15` likely stems from the regular expression used in the `checkEquation` function not adequately capturing negative `b` values due to how the capturing groups and optional non-capturing group are defined. To ensure that the function can correctly parse equations with a negative `b` value, the regular expression needs to be adjusted to properly capture the `+` or `-` sign followed by the `b` value.\n\nHere's an updated version of the `checkEquation` function with a revised regular expression:\n\n```javascript\nfunction checkEquation() {\n let equation = document.getElementById(\"equationInput\").value;\n // Updated regex to properly capture negative b values\n let parts = equation.match(/y\\s*=\\s*([-]?(\\d+\\/\\d+|\\d+\\.\\d+|\\d+))\\s*x\\s*([-+]\\s*(\\d+\\/\\d+|\\d+\\.\\d+|\\d+))?/);\n if (parts) {\n let m = parts[1].includes('/') ? eval(parts[1]) : parseFloat(parts[1] || \"1\"); // Default slope to 1 if omitted\n // Adjusted to properly handle the space that may exist between the sign and the number for b\n let bPart = parts[3] ? parts[3].replace(/\\s+/g, '') : \"0\"; // Consolidate the sign and number, default to \"0\"\n let b = bPart.includes('/') ? eval(bPart) : parseFloat(bPart);\n currentM = m;\n currentB = b; // Store the intercept value globally\n laserAnimating = true; // Start animating the laser\n laserEndPointX = horizontalMargin + 10 * gridUnit; // Reset the laser endpoint to the spaceship's position\n laserEndPointY = verticalMargin + 10 * gridUnit - b * gridUnit; // Adjust the starting Y coordinate based on b\n } else {\n console.error(\"Invalid equation format. Please use 'y=mx+b' or 'y=mx'.\");\n }\n}\n```\n\n- The regular expression now captures an optional group that includes either a `+` or `-` sign followed by the `b` value, allowing for the correct parsing of equations with negative `b` values.\n- The `b` value is now extracted by first consolidating any spaces between the sign and the number (if present) using `.replace(/\\s+/g, '')`, ensuring that the parsing works correctly even if there's a space (e.g., `3x - 15`).\n- This update ensures that equations with both positive and negative `b` values, such as `y=3x+15` and `y=3x-15`, are correctly interpreted and handled by the game.","project_id":1091,"created_at":"2024-04-08T23:12:25.828640Z","output_tokens":null,"sender":"ai","code_id":62504,"deleted":0,"input_tokens":null,"id":34467}],"assets":[{"project_id":1091,"creator":null,"cloudinary_id":"heia9ikqhd76rxfjozdg","deleted":false,"id":2981,"created_at":"2024-04-08T22:07:33.259237Z","name":"ship","resource_type":"image","tags":null},{"project_id":1091,"creator":null,"cloudinary_id":"gmddwxeyxtfuwlxqlooq","deleted":false,"id":2980,"created_at":"2024-04-08T22:07:33.255650Z","name":"astroid","resource_type":"image","tags":null}],"messages_sent":13,"comments":[],"steps":[{"title":"Spaceship Visual","instruction":"Display the spaceship at the (0,0) coordinate on the grid.","created_at":"2024-03-28T17:34:49.358639","project_id":1091,"complete":true,"step_number":0,"updated_at":"2024-04-08T22:07:33.250484","id":5559},{"title":"Asteroid Visual","instruction":"Generate and display the asteroid at a random point on the grid.","created_at":"2024-03-28T17:34:49.358700","project_id":1091,"complete":true,"step_number":1,"updated_at":"2024-04-08T22:07:33.250565","id":5560},{"title":"Player Input for Equations","instruction":"Implement a method for players to input linear equations to shoot the asteroid.","created_at":"2024-03-28T17:34:49.358744","project_id":1091,"complete":true,"step_number":2,"updated_at":"2024-04-08T22:07:33.250665","id":5561},{"title":"Asteroid Shooting Logic","instruction":"Check if the inputted equation passes through the asteroid point and update the game accordingly.","created_at":"2024-03-28T17:34:49.358791","project_id":1091,"complete":true,"step_number":3,"updated_at":"2024-04-08T22:07:33.250710","id":5562},{"title":"Asteroid Movement","instruction":"When the asteroid is successfully shot, move it to a new random spot on the grid.","created_at":"2024-03-28T17:34:49.358855","project_id":1091,"complete":false,"step_number":4,"updated_at":"2024-04-08T22:07:33.250753","id":5563},{"title":"Visual Effects for Shooting","instruction":"Add visual effects for shooting the asteroid to enhance the game experience.","created_at":"2024-03-28T17:34:49.358898","project_id":1091,"complete":false,"step_number":5,"updated_at":"2024-04-08T22:07:33.250797","id":5564},{"title":"Feedback for Equations","instruction":"Provide feedback for correct and incorrect equations to enhance the learning experience.","created_at":"2024-03-28T17:34:49.358938","project_id":1091,"complete":false,"step_number":6,"updated_at":"2024-04-08T22:07:33.250839","id":5565}]}

Equation Input