[User] Convert (3, 3√3) to polar coordinates (r, θ) where θ is in degrees.

[Assistant] Calculate r = √(x² + y²): r = √(3² + (3√3)²). Can you compute this now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the polar form of (-4, 0).

[Assistant] Calculate r = √(x² + y²): r = √((-4)² + 0²). Can you find r and determine θ now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Count from 45 to 50. How many numbers do you count?

[Assistant] Let’s try a similar problem: Count from 25 to 28. You’d go 26, 27, 28—that’s 3 numbers. Now, start at 45: 46, 47, 48… Can you count to 50 and tell me how many steps now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 6 + 4.

[Assistant] Try a similar problem: 5 + 3. You’d count 5, 6, 7, 8—that’s 8. Now, start at 6 and count up 4 more: 7, 8… Can you find the total now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 9 - 5.

[Assistant] Look at a similar problem: 7 - 3. You’d count back 7, 6, 5, 4—that’s 4. Now, start at 9 and count back 5: 8, 7… Can you see what’s left now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What is 17 in tens and ones?

[Assistant] Try a similar problem: 13 is 1 ten and 3 ones because 10 + 3 = 13. Now, for 17, how many tens are there? How many ones? Can you break it down now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How many sides does a triangle have?

[Assistant] Think of a similar problem: A square has 4 sides. Now, picture a triangle—how many sides do you see? Can you count them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A toy is 7 blocks long. How many blocks if it’s twice as long?

[Assistant] Try a similar problem: A toy is 3 blocks long, and twice that is 3 + 3 = 6 blocks. For 7 blocks, add 7 to itself. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What time is it 2 hours after 3:00?

[Assistant] Look at a similar problem: 1 hour after 2:00 is 3:00. Now, start at 3:00 and count forward 2 hours. Can you find the new time now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A boy has 8 marbles, and he gives away 3. How many are left?

[Assistant] Try a similar problem: If you have 5 marbles and give away 2, you’d count back 5, 4, 3—that’s 3 left. Now, start at 8 and count back 3: 7, 6… Can you find what’s left now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 67 + 25.

[Assistant] Try a similar problem: 34 + 13. You’d do 30 + 10 = 40, then 4 + 3 = 7, so 40 + 7 = 47. Now, for 67 + 25, add the tens first: 60 + 20. Can you add the ones and combine them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 83 - 47.

[Assistant] Look at a similar problem: 65 - 32. You’d do 60 - 30 = 30, then 5 - 2 = 3, so 30 + 3 = 33. Now, for 83 - 47, subtract the tens first: 80 - 40. Can you subtract the ones and combine now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Count by 5s from 15 to 35. How many steps?

[Assistant] Try a similar problem: Count by 5s from 10 to 25: 10, 15, 20, 25—that’s 3 steps. Now, start at 15: 20, 25… Can you count to 35 and find the steps now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What is 245 in hundreds, tens, ones?

[Assistant] Look at a similar problem: 123 is 1 hundred, 2 tens, 3 ones because 100 + 20 + 3 = 123. For 245, what’s in the hundreds place? Can you find the tens and ones next? Let me know what is the next step you are stuck with and I can try to help you.


[User] How much is 3 quarters and 2 dimes?

[Assistant] Try a similar problem: 2 quarters and 1 dime. That’s 2 * 25¢ = 50¢, 1 * 10¢ = 10¢, so 50¢ + 10¢ = 60¢. Now, for 3 quarters and 2 dimes, each quarter is 25¢ and each dime is 10¢. Can you multiply and add them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What time is 1 hour and 30 minutes after 2:00?

[Assistant] Look at a similar problem: 1 hour after 1:00 is 2:00, then 30 minutes more is 2:30. Now, start at 2:00, add 1 hour, then add 30 minutes. Can you find the time now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A rope is 14 cm long. How long if you add 8 cm?

[Assistant] Try a similar problem: A rope is 10 cm, add 5 cm, that’s 10 + 5 = 15 cm. Now, for 14 cm plus 8 cm, can you add the two lengths together now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A graph shows 6 stars for dogs, 4 for cats. How many pets total?

[Assistant] Look at a similar problem: 3 stars for dogs, 2 for cats is 3 + 2 = 5. Now, for 6 stars and 4 stars, can you add the numbers together now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Is 38 an even or odd number?

[Assistant] Try a similar problem: 14 ends in 4, which is even, so 14 is even. Now, look at 38—what’s the last digit? Can you decide if it’s even or odd now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s 3 rows of 5 dots?

[Assistant] Look at a similar problem: 2 rows of 4 dots is 4 + 4 = 8. For 3 rows of 5, you can add 5 three times. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 8 * 6.

[Assistant] Try a similar problem: 5 * 3 is 5 + 5 + 5 = 15. For 8 * 6, think of 6 groups of 8. Can you add them up now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 24 ÷ 4.

[Assistant] Look at a similar problem: 12 ÷ 3. You’d see 3 fits 4 times (3, 6, 9, 12) = 4. Now, for 24 ÷ 4, how many times does 4 fit into 24? Can you count them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 456 + 278.

[Assistant] Try a similar problem: 123 + 234. You’d do 100 + 200 = 300, 20 + 30 = 50, 3 + 4 = 7, then 300 + 50 + 7 = 357. Now, for 456 + 278, start by adding the hundreds. Can you add the tens and ones next? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 734 - 259.

[Assistant] Look at a similar problem: 543 - 321. You’d do 500 - 300 = 200, 40 - 20 = 20, 3 - 1 = 2, then 200 + 20 + 2 = 222. Now, for 734 - 259, subtract the hundreds first. Can you subtract the tens and ones next? Let me know what is the next step you are stuck with and I can try to help you.


[User] Is 1/4 greater than 1/6?

[Assistant] Try a similar problem: Is 1/2 greater than 1/3? A half is bigger than a third, so yes. Now, for 1/4 and 1/6, think about the size of the pieces—which is larger? Can you compare them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the area of a rectangle 7 ft by 4 ft.

[Assistant] Look at a similar problem: 3 ft by 2 ft is 3 * 2 = 6 square feet. For 7 ft by 4 ft, multiply the length by the width. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the perimeter of a rectangle 9 ft by 5 ft?

[Assistant] Try a similar problem: 4 ft by 3 ft is 4 + 4 + 3 + 3 = 14 ft. For 9 ft by 5 ft, add up all the sides: 9 + 9 + 5 + 5. Can you add them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What time is 45 minutes after 3:15?

[Assistant] Look at a similar problem: 30 minutes after 2:00 is 2:30. For 3:15 plus 45 minutes, count 15 minutes after 3:15, then add 30 more minutes. Can you find the time now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A bar graph shows 7 votes for red, 5 for blue. How many votes total?

[Assistant] Try a similar problem: 3 votes for red, 4 for blue is 3 + 4 = 7. Now, for 7 votes and 5 votes, can you add them together now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How many sides does a quadrilateral have?

[Assistant] Look at a similar problem: A triangle has 3 sides. Now, think of a quadrilateral—how many sides do you see? Can you count them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 47 * 6.

[Assistant] Try a similar problem: 23 * 4. You’d do 4 * 3 = 12, 4 * 20 = 80, then 80 + 12 = 92. Now, for 47 * 6, multiply 6 by the ones first, then by the tens. Can you add them together now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 96 ÷ 8.

[Assistant] Look at a similar problem: 36 ÷ 6. You’d see 6 fits 6 times (6, 12, 18, 24, 30, 36) = 6. For 96 ÷ 8, how many times does 8 fit into 96? Can you count them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 3,456 + 2,789.

[Assistant] Try a similar problem: 1,234 + 1,543. You’d do 1,000 + 1,000 = 2,000, 200 + 500 = 700, 30 + 40 = 70, 4 + 3 = 7, then 2,000 + 700 + 70 + 7 = 3,777. Now, for 3,456 + 2,789, start with the thousands. Can you add the rest now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 5,678 - 2,345.

[Assistant] Look at a similar problem: 4,321 - 1,210. You’d do 4,000 - 1,000 = 3,000, 300 - 200 = 100, 20 - 10 = 10, 1 - 0 = 1, then 3,000 + 100 + 10 + 1 = 3,111. Now, for 5,678 - 2,345, subtract the thousands first. Can you subtract the rest now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find an equivalent fraction to 6/9.

[Assistant] Try a similar problem: 2/4 is the same as 1/2 because 2 ÷ 2 = 1 and 4 ÷ 2 = 2. For 6/9, can you divide the top and bottom by the same number? Let me know what is the next step you are stuck with and I can try to help you.


[User] Is 3/5 greater than 2/4?

[Assistant] Look at a similar problem: Is 1/3 greater than 1/4? You’d see 1/3 is bigger than 1/4. For 3/5 and 2/4, try finding a common denominator—like 20. Can you compare them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What type of angle is 75°?

[Assistant] Try a similar problem: 30° is less than 90°, so it’s acute. For 75°, check if it’s less than, equal to, or more than 90°. Can you decide now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A line plot has 5, 5, 6, 7. How many points are at 5?

[Assistant] Look at a similar problem: 2, 2, 3 has two 2s. For 5, 5, 6, 7, count how many times 5 appears. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How many factors does 15 have?

[Assistant] Try a similar problem: For 6, you’d list 1 * 6, 2 * 3, so factors are 1, 2, 3, 6—that’s 4 factors. For 15, start with 1 and 15. Can you find the other pairs now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How many lines of symmetry does a square have?

[Assistant] Look at a similar problem: A rectangle has 2 lines (top-bottom, side-side). For a square, try folding it in half different ways—like top to bottom or diagonally. Can you count the lines now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the value of 6 in 12.63?

[Assistant] Try a similar problem: In 5.42, the 4 is in the tenths place, so it’s 4 * 0.1 = 0.4. For 12.63, look at where the 6 is—tenths or hundredths? Can you find its value now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 4.75 + 2.38.

[Assistant] Look at a similar problem: 1.23 + 3.14. You’d line up 1.23 and 3.14, add 0.03 + 0.04 = 0.07, then the rest = 4.37. For 4.75 + 2.38, line up the decimals and start with the hundredths. Can you add them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 38 * 7.

[Assistant] Try a similar problem: 24 * 5. You’d do 5 * 4 = 20, 5 * 20 = 100, then 100 + 20 = 120. For 38 * 7, multiply 7 by the ones first, then by the tens. Can you add them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 84 ÷ 6.

[Assistant] Look at a similar problem: 36 ÷ 4. You’d see 4 fits 9 times (4, 8, 12… 36) = 9. For 84 ÷ 6, how many times does 6 fit into 84? Can you count them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 3/5 + 1/5.

[Assistant] Try a similar problem: 2/4 + 1/4. You’d do 2 + 1 = 3, keep the 4, so 3/4. For 3/5 + 1/5, add the numerators and keep the denominator. Can you find the total now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 2/3 * 5/6.

[Assistant] Look at a similar problem: 1/2 * 3/4. You’d do 1 * 3 = 3, 2 * 4 = 8, so 3/8. For 2/3 * 5/6, multiply the numerators, then the denominators. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the volume of a prism 6 cm by 4 cm by 3 cm?

[Assistant] Try a similar problem: 2 cm by 3 cm by 4 cm is 2 * 3 * 4 = 24 cubic cm. For 6 cm by 4 cm by 3 cm, multiply the length, width, and height. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How far right and up is (5, 7) from (0, 0)?

[Assistant] Look at a similar problem: (3, 4) is 3 right, 4 up from (0, 0). For (5, 7), look at the first number for right and the second for up. Can you tell me now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 8 + 3 * 4.

[Assistant] Try a similar problem: 5 + 2 * 3. You’d do 2 * 3 = 6, then 5 + 6 = 11. For 8 + 3 * 4, do the multiplication first. Can you finish it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] How many sides does a pentagon have?

[Assistant] Look at a similar problem: A square has 4 sides. For a pentagon, think of its name—‘pent’ means something. Can you count its sides now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Convert 3 feet to inches.

[Assistant] Try a similar problem: 2 feet to inches is 2 * 12 = 24 inches. For 3 feet, knowing 1 foot is 12 inches, can you multiply now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A line plot has 1/4, 1/4, 1/2. How many are 1/4?

[Assistant] Look at a similar problem: 1/3, 1/3, 2/3 has two 1/3s. For 1/4, 1/4, 1/2, count how many times 1/4 appears. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve the ratio 12:18 in simplest form.

[Assistant] Try a similar problem: 6:9. You’d divide 6 ÷ 3 and 9 ÷ 3 = 2:3. For 12:18, find a number to divide both by. Can you simplify it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the unit rate for 150 miles in 3 hours.

[Assistant] Look at a similar problem: 60 miles in 2 hours is 60 ÷ 2 = 30 miles per hour. For 150 miles in 3 hours, divide the miles by the hours. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s 30% of 80?

[Assistant] Try a similar problem: 20% of 50 is 0.20 * 50 = 10. For 30% of 80, change 30% to a decimal and multiply by 80. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 3.4 * 2.5.

[Assistant] Look at a similar problem: 2.1 * 1.2. You’d do 21 * 12 = 252, then adjust for 2 decimals: 2.52. For 3.4 * 2.5, multiply as whole numbers first, then place the decimal. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find 6.4 ÷ 1.6.

[Assistant] Try a similar problem: 4.8 ÷ 1.2. You’d move decimals to 48 ÷ 12 = 4. For 6.4 ÷ 1.6, move the decimals to make whole numbers. Can you divide them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the GCF of 24 and 36?

[Assistant] Look at a similar problem: GCF of 12 and 18. Factors of 12 are 1, 2, 3, 6, 12; 18 are 1, 2, 3, 6, 9, 18; GCF is 6. For 24 and 36, list some factors of each. Can you find the greatest common one now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the LCM of 8 and 12.

[Assistant] Try a similar problem: LCM of 6 and 4. Multiples of 6 are 6, 12, 18; 4 are 4, 8, 12; LCM is 12. For 8 and 12, list some multiples of each. Can you find the least common one now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve -5 + 3.

[Assistant] Look at a similar problem: -4 + 2. You’d start at -4 and move right 2: -4, -3, -2 = -2. For -5 + 3, start at -5 and count up 3. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Evaluate 4x + 5 when x = 3.

[Assistant] Try a similar problem: 2x + 1 when x = 2 is 2 * 2 + 1 = 5. For 4x + 5 with x = 3, multiply 4 by x first. Can you add the 5 now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve x + 7 = 15.

[Assistant] Look at a similar problem: x + 4 = 9. You’d subtract 4 from 9 to get 5, so x = 5. For x + 7 = 15, subtract 7 from both sides. Can you find x now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the area of a triangle with base 8 cm and height 5 cm.

[Assistant] Try a similar problem: Base 4 cm, height 3 cm is (1/2) * 4 * 3 = 6 square cm. For base 8 cm and height 5 cm, use (1/2) times base times height. Can you multiply them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the mean of 4, 6, 8, 10.

[Assistant] Look at a similar problem: Mean of 2, 3, 4 is 2 + 3 + 4 = 9, then 9 ÷ 3 = 3. For 4, 6, 8, 10, add all the numbers first. Can you divide by how many there are now? Let me know what is the next step you are stuck with and I can try to help you.


[User] If 5 pens cost $15, how much for 8 pens?

[Assistant] Try a similar problem: 3 pens cost $9, so each pen is $3, and 6 pens is 6 * 3 = $18. For 5 pens at $15, find the cost per pen first. Can you multiply by 8 now? Let me know what is the next step you are stuck with and I can try to help you.


[User] If y = 4 when x = 12, find the constant of proportionality.

[Assistant] Look at a similar problem: y = 3 when x = 6, so k = 3/6 = 1/2. For y = 4 and x = 12, divide y by x. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A scale is 1 cm = 4 m. What’s 7 cm in real life?

[Assistant] Try a similar problem: 1 cm = 2 m, so 3 cm is 3 * 2 = 6 m. For 1 cm = 4 m and 7 cm, multiply 7 by the scale factor. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve -2.7 + 1.9.

[Assistant] Look at a similar problem: -1.5 + 0.8. You’d line up -1.5 and 0.8, add tenths to get -0.7. For -2.7 + 1.9, line up the decimals and start with the tenths. Can you add them now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find -3/4 * 2/5.

[Assistant] Try a similar problem: -1/2 * 2/3 is -1 * 2 = -2, 2 * 3 = 6, so -2/6 = -1/3. For -3/4 * 2/5, multiply the numerators, then the denominators. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 3x + 4 = 13.

[Assistant] Look at a similar problem: 2x + 5 = 11. You’d subtract 5 (11 - 5 = 6), then divide by 2, x = 3. For 3x + 4 = 13, subtract 4 from 13 first. Can you solve for x now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 2x - 3 < 7.

[Assistant] Try a similar problem: 3x - 2 < 4. You’d add 2 (4 + 2 = 6), then divide by 3, x < 2. For 2x - 3 < 7, add 3 to 7 first. Can you finish it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the circumference of a circle with diameter 10 cm (π ≈ 3.14).

[Assistant] Look at a similar problem: Diameter 6 cm is 6 * 3.14 = 18.84 cm. For diameter 10 cm, multiply the diameter by π. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the area of a circle with radius 5 cm (π ≈ 3.14)?

[Assistant] Try a similar problem: Radius 3 cm is 3 * 3 * 3.14 = 28.26 square cm. For radius 5 cm, use π times radius squared. Can you multiply it out now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the probability of rolling a 5 on a die?

[Assistant] Look at a similar problem: Probability of rolling a 2 is 1 out of 6 = 1/6. For a 5, count how many 5s are on a die and how many sides total. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the supplement of 65°.

[Assistant] Try a similar problem: Supplement of 40° is 180 - 40 = 140°. For 65°, subtract 65 from 180. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the surface area of a prism 5 cm by 3 cm by 4 cm.

[Assistant] Look at a similar problem: 2 cm by 3 cm by 4 cm is 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 square cm. For 5 cm by 3 cm by 4 cm, use 2 times (length * width + length * height + width * height). Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve 2^5.

[Assistant] Try a similar problem: 3^3 is 3 * 3 * 3 = 27. For 2^5, multiply 2 by itself 5 times. Can you do that now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Write 45,000 in scientific notation.

[Assistant] Look at a similar problem: 12,000 is 1.2 * 10^4 (move decimal 4 places). For 45,000, move the decimal to get a number between 1 and 10. How many places did you move? Can you write it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find √81.

[Assistant] Try a similar problem: √25 is 5 because 5 * 5 = 25. For √81, what number times itself equals 81? Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the slope between (2, 5) and (6, 13).

[Assistant] Look at a similar problem: (1, 3) to (3, 7) is (7 - 3) / (3 - 1) = 4/2 = 2. For (2, 5) to (6, 13), subtract the y’s and x’s: (y₂ - y₁) / (x₂ - x₁). Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the equation of a line with slope 3 and y-intercept 4.

[Assistant] Try a similar problem: Slope 2, y-intercept 1 is y = 2x + 1. For slope 3 and y-intercept 4, use the form y = mx + b. Can you write it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve: y = 3x - 2 and y = x + 4.

[Assistant] Look at a similar problem: y = 2x - 1 and y = x + 1. You’d set 2x - 1 = x + 1, subtract x, add 1, x = 2. For y = 3x - 2 and y = x + 4, set the equations equal. Can you solve for x now? Let me know what is the next step you are stuck with and I can try to help you.


[User] If f(x) = 5x - 3, find f(4).

[Assistant] Try a similar problem: f(x) = 2x + 1, f(3) is 2 * 3 + 1 = 7. For f(x) = 5x - 3 with x = 4, multiply 5 by 4 first. Can you subtract 3 now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the hypotenuse of a triangle with legs 6 and 8.

[Assistant] Look at a similar problem: Legs 3 and 4, 3² + 4² = 9 + 16 = 25, √25 = 5. For legs 6 and 8, square each leg and add them. Can you take the square root now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the volume of a cylinder with radius 4 cm, height 7 cm (π ≈ 3.14).

[Assistant] Try a similar problem: Radius 2 cm, height 3 cm is 3.14 * 2 * 2 * 3 = 37.68 cubic cm. For radius 4 cm and height 7 cm, use π times radius squared times height. Can you multiply it out now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Reflect (3, 5) over the x-axis.

[Assistant] Look at a similar problem: (2, 4) over the x-axis is (2, -4) because y flips to negative. For (3, 5), keep the x the same and change the y sign. Can you find the new point now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Do triangles with sides 5, 12, 13 and 5, 12, 13 match?

[Assistant] Try a similar problem: Sides 3, 4, 5 and 3, 4, 5 are congruent because all sides are equal. For 5, 12, 13 and 5, 12, 13, compare each pair of sides. Can you decide now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the trend for points (1, 2), (2, 4), (3, 6).

[Assistant] Look at a similar problem: (1, 1), (2, 2), (3, 3) increases by 1 each time. For (1, 2), (2, 4), (3, 6), check how y changes as x increases by 1. Can you describe it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve for x: 6x - 11 = 19.

[Assistant] Try a similar problem: 4x - 5 = 7. You’d add 5 to both sides to get 4x = 12, then divide by 4, so x = 3. For 6x - 11 = 19, start by adding 11 to both sides. Can you solve for x now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Simplify: 5(x - 2) + 3x.

[Assistant] Look at a similar problem: 2(x + 3) + 4x. You’d distribute 2 to get 2x + 6, then add 4x, so 6x + 6. For 5(x - 2) + 3x, distribute the 5 first. Can you combine like terms now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve the inequality: 3x - 8 ≥ 4.

[Assistant] Try a similar problem: 2x - 3 > 5. You’d add 3 to get 2x > 8, then divide by 2, so x > 4. For 3x - 8 ≥ 4, add 8 to both sides first. Can you finish it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the slope of the line through (5, 8) and (7, 12).

[Assistant] Look at a similar problem: (1, 2) and (3, 6). You’d do (6 - 2) / (3 - 1) = 4 / 2 = 2. For (5, 8) and (7, 12), subtract the y’s and x’s: (y₂ - y₁) / (x₂ - x₁). Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Write the equation of a line with slope 3 and y-intercept 1.

[Assistant] Try a similar problem: Slope 2 and y-intercept -4 is y = 2x - 4 using y = mx + b. For slope 3 and y-intercept 1, plug into y = mx + b. Can you write it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve the system: 3x + 2y = 10 and x - y = 3.

[Assistant] Look at a similar problem: x + y = 5 and x - y = 1. Add them to get 2x = 6, so x = 3, then y = 2. For 3x + 2y = 10 and x - y = 3, try solving one for x or y first. Can you substitute now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Factor: x² + 7x + 12.

[Assistant] Try a similar problem: x² + 5x + 6 = (x + 2)(x + 3) since 2 * 3 = 6 and 2 + 3 = 5. For x² + 7x + 12, find two numbers that multiply to 12 and add to 7. Can you factor it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve by factoring: x² - 8x + 15 = 0.

[Assistant] Look at a similar problem: x² - 5x + 6 = 0 factors to (x - 2)(x - 3) = 0, so x = 2 or 3. For x² - 8x + 15 = 0, factor it into two binomials. Can you find the solutions now? Let me know what is the next step you are stuck with and I can try to help you.


[User] If h(x) = 4x - 7, find h(2).

[Assistant] Try a similar problem: f(x) = 3x + 1, f(2) is 3 * 2 + 1 = 7. For h(x) = 4x - 7 with x = 2, multiply 4 by 2 first. Can you subtract 7 now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Simplify: (3x⁴)(5x³).

[Assistant] Look at a similar problem: (2x²)(3x³) = 6x⁵ since 2 * 3 = 6 and 2 + 3 = 5. For (3x⁴)(5x³), multiply the coefficients and add the exponents. Can you simplify it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A train travels 180 miles in 3 hours. What’s its average speed?

[Assistant] Try a similar problem: 120 miles in 2 hours is 120 / 2 = 60 miles per hour. For 180 miles in 3 hours, divide the distance by the time. Can you find the speed now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the measure of an interior angle of a regular hexagon.

[Assistant] Look at a similar problem: A regular triangle has (3 - 2) * 180° / 3 = 60°. For a hexagon, use (n - 2) * 180° / n where n = 6. Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Calculate the area of a triangle with base 14 cm and height 6 cm.

[Assistant] Try a similar problem: Base 10 cm, height 4 cm is (1/2) * 10 * 4 = 20 square cm. For base 14 cm and height 6 cm, use (1/2) * base * height. Can you multiply it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the circumference of a circle with radius 11 cm (use π ≈ 3.14).

[Assistant] Look at a similar problem: Radius 5 cm is 2 * 5 * 3.14 = 31.4 cm. For radius 11 cm, use 2 * π * radius. Can you compute it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the volume of a rectangular prism 9 cm by 4 cm by 5 cm?

[Assistant] Try a similar problem: 3 cm by 2 cm by 4 cm is 3 * 2 * 4 = 24 cubic cm. For 9 cm by 4 cm by 5 cm, multiply length, width, and height. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Determine if triangles with sides 5, 7, 9 and 10, 14, 18 are similar.

[Assistant] Look at a similar problem: 3, 4, 5 and 6, 8, 10 are similar since 3/6 = 4/8 = 5/10 = 1/2. For 5, 7, 9 and 10, 14, 18, check if the ratios of corresponding sides are equal. Can you test it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the length of the hypotenuse with legs 8 and 15.

[Assistant] Try a similar problem: Legs 3 and 4 give 3² + 4² = 25, √25 = 5. For legs 8 and 15, square each leg and add them. Can you take the square root now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the area of a trapezoid with bases 6 cm and 8 cm, height 5 cm?

[Assistant] Look at a similar problem: Bases 4 cm and 6 cm, height 3 cm is (1/2) * (4 + 6) * 3 = 15 square cm. For bases 6 cm and 8 cm, height 5 cm, use (1/2) * (base1 + base2) * height. Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the surface area of a cylinder with radius 4 cm and height 9 cm (π ≈ 3.14).

[Assistant] Try a similar problem: Radius 2 cm, height 5 cm is 2 * 3.14 * 2 * 5 + 2 * 3.14 * 2² = 62.8 square cm. For radius 4 cm and height 9 cm, use 2πrh + 2πr². Can you compute it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Are the lines y = 3x + 4 and y = -3x + 4 perpendicular?

[Assistant] Look at a similar problem: y = 2x + 1 and y = (-1/2)x - 1 are perpendicular since 2 * (-1/2) = -1. For y = 3x + 4 and y = -3x + 4, multiply their slopes. Can you check if they’re perpendicular now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Translate the point (6, 3) 2 units right and 5 units down.

[Assistant] Try a similar problem: (2, 4) moved 1 right and 3 up is (2 + 1, 4 + 3) = (3, 7). For (6, 3) moved 2 right and 5 down, adjust x and y accordingly. Can you find the new point now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the distance between (3, 4) and (7, 1).

[Assistant] Look at a similar problem: (1, 2) and (4, 6) is √((4 - 1)² + (6 - 2)²) = √(9 + 16) = 5. For (3, 4) and (7, 1), use the distance formula √((x₂ - x₁)² + (y₂ - y₁)²). Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A pole casts a 12-meter shadow when the sun’s angle is 35°. How tall is the pole?

[Assistant] Try a similar problem: A 6-meter shadow with a 30° angle gives height = 6 * tan(30°) ≈ 3.46 m. For a 12-meter shadow at 35°, use the tangent ratio: height = shadow * tan(angle). Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve: x² + 6x + 8 = 0.

[Assistant] Look at a similar problem: x² + 4x + 3 = 0 factors to (x + 1)(x + 3) = 0, so x = -1 or -3. For x² + 6x + 8 = 0, find two numbers that multiply to 8 and add to 6. Can you solve it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Simplify: (x⁵y³)/(x²y²).

[Assistant] Try a similar problem: (x³y²)/(x²y) = x^(3-2) * y^(2-1) = xy. For (x⁵y³)/(x²y²), subtract the exponents for x and y. Can you simplify it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the vertex of the parabola y = x² - 6x + 5.

[Assistant] Look at a similar problem: y = x² - 2x + 1 has vertex at x = -(-2)/(2*1) = 1, then y = 1 - 2 + 1 = 0, so (1, 0). For y = x² - 6x + 5, use x = -b/(2a). Can you find the vertex now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve using the quadratic formula: 3x² - 5x + 2 = 0.

[Assistant] Try a similar problem: 2x² - 3x + 1 = 0 uses x = [3 ± √(9 - 8)] / 4 = (3 ± 1) / 4, so x = 1 or 1/2. For 3x² - 5x + 2 = 0, plug a=3, b=-5, c=2 into x = [-b ± √(b² - 4ac)] / (2a). Can you solve it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the inverse of the function f(x) = 3x + 4?

[Assistant] Look at a similar problem: f(x) = 2x - 1, swap x and y to x = 2y - 1, solve for y: y = (x + 1) / 2. For f(x) = 3x + 4, swap x and y, then solve for y. Can you find the inverse now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Simplify: √72.

[Assistant] Try a similar problem: √18 = √(9 * 2) = 3√2. For √72, factor it into a perfect square and another number. Can you simplify it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve the system: 4x - 3y = 8 and 2x + y = 6.

[Assistant] Look at a similar problem: 3x - y = 5 and x + 2y = 4; multiply the second by 3, add to eliminate y, solve for x. For 4x - 3y = 8 and 2x + y = 6, try elimination or substitution. Can you solve it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the sum: 7 + 10 + 13 + ... + 25.

[Assistant] Try a similar problem: 2 + 5 + 8 + 11 has 4 terms, sum = 4/2 * (2 + 11) = 26. For 7 + 10 + 13 + ... + 25, count the terms and use the arithmetic sum formula. Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Evaluate: log₃(27).

[Assistant] Look at a similar problem: log₂(8) = 3 since 2³ = 8. For log₃(27), find the power of 3 that equals 27. Can you evaluate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve: 3^x = 81.

[Assistant] Try a similar problem: 2^x = 16, since 2⁴ = 16, x = 4. For 3^x = 81, what power of 3 equals 81? Can you solve it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the 7th term of the sequence 3, 7, 11, 15, ...

[Assistant] Look at a similar problem: 1, 4, 7, 10, ... has 5th term 1 + 4 * 3 = 13. For 3, 7, 11, 15, ..., use the formula a_n = a_1 + (n - 1)d. Can you find the 7th term now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s the remainder when x³ - 3x² + 4x - 2 is divided by x - 2?

[Assistant] Try a similar problem: x² - 2x + 1 divided by x - 1 gives remainder f(1) = 1 - 2 + 1 = 0. For x³ - 3x² + 4x - 2, use the Remainder Theorem with x = 2. Can you evaluate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Graph the inequality: y < 2x - 3.

[Assistant] Look at a similar problem: y > x + 1 graphs as a dashed line at y = x + 1, shaded above. For y < 2x - 3, plot the line y = 2x - 3 and decide shading. Can you graph it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find sin(45°) (exact value).

[Assistant] Try a similar problem: sin(30°) = 1/2 from the 30-60-90 triangle. For sin(45°), think of a 45-45-90 triangle where legs are 1 and hypotenuse is √2. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Calculate cos(45°) (exact value).

[Assistant] Look at a similar problem: cos(60°) = 1/2 from a 30-60-90 triangle. For cos(45°), use a 45-45-90 triangle with legs 1 and hypotenuse √2. Can you compute it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] What’s tan(60°) (exact value)?

[Assistant] Try a similar problem: tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3. For tan(60°), use sin(60°) and cos(60°) from a 30-60-90 triangle. Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Solve for x: cos(x) = 0.5 in [0, 2π).

[Assistant] Look at a similar problem: sin(x) = 1/2 in [0, 2π) gives x = π/6 and 5π/6. For cos(x) = 0.5, think of where cosine is 1/2 in a unit circle. Can you find the angles now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Find the length of the side adjacent to a 50° angle in a right triangle with hypotenuse 12.

[Assistant] Try a similar problem: Adjacent to 30° with hypotenuse 10 is 10 * cos(30°) = 10 * √3/2 = 5√3. For a 50° angle with hypotenuse 12, use cos(50°) * 12. Can you calculate it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Verify the identity: 1 - cos²(x) = sin²(x) for x = π/6.

[Assistant] Look at a similar problem: sin²(x) + cos²(x) = 1 at x = π/4 gives (√2/2)² + (√2/2)² = 1. For 1 - cos²(x) = sin²(x) at x = π/6, compute both sides using known values. Can you verify it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] Convert 150° to radians.

[Assistant] Try a similar problem: 180° to radians is 180 * π / 180 = π. For 150°, multiply by π / 180. Can you convert it now? Let me know what is the next step you are stuck with and I can try to help you.


[User] A tree casts a 15-meter shadow when the sun’s angle is 40°. How tall is the tree?

[Assistant] Look at a similar problem: A 10-meter shadow at 45° gives height = 10 * tan(45°) = 10 m. For a 15-meter shadow at 40°, use height = shadow * tan(40°). Can you find it now? Let me know what is the next step you are stuck with and I can try to help you.