messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 804 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 804 × (1 + 100/100) = 804 × 2.0 = 1608.0.\n</reasoning>\nFinal Answer: 1608.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 14, 15, 11, 18, 41, 88, 70, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 14: 1, 15: 2, 11: 1, 18: 1, 41: 1, 88: 1, 70: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -456 ÷ 992"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -456 by 992. -456 ÷ 992 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 126 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n126 = 2 × 63, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 * 16/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/8) × (16/14) = (16/112) = 1/7 after simplification.\n</reasoning>\nFinal Answer: 1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 101 km/h. How far does it travel in 3 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 59/60 = 3.9833 hours. Distance = speed × time = 101 × 3.9833 = 402.3167 km.\n</reasoning>\nFinal Answer: 402.3167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 648 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 648 × (1 + 80/100) = 648 × 1.8 = 1166.4.\n</reasoning>\nFinal Answer: 1166.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 33 = 425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 8x = 392. Divide by 8: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -40 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 1x = 19. Divide by 1: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 47 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 7x = 7. Divide by 7: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 14 + 16 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×14=280 and 16×9=144, then add: 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -8 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 6, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (11-1)×6 = 13 + 60 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:22 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/22, so B = A × (22/19) = 33 × 22/19 = 38.2105.\n</reasoning>\nFinal Answer: 38.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 70, 89, 13, 12, 82, 13, 62, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 417/9 = 46.3333.\n</reasoning>\nFinal Answer: 46.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15142 at 7% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15142 × 7 × 9 / 100 = 9539.46.\n</reasoning>\nFinal Answer: 9539.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 11 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 0/60 = 11.0000 hours. Distance = speed × time = 166 × 11.0000 = 1826.0 km.\n</reasoning>\nFinal Answer: 1826.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -266 - 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 434 from -266: -266 - 434 = -700.\n</reasoning>\nFinal Answer: -700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 31 * 41 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×41=1271, then 5+1271-37=1239.\n</reasoning>\nFinal Answer: 1239"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 883?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 883 = (90/100) × 883 = 794.7.\n</reasoning>\nFinal Answer: 794.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 15, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (29-1)×15 = 3 + 420 = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 70, 99, 26, 27, 51, 99, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 523/8 = 65.375.\n</reasoning>\nFinal Answer: 65.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 9, 19] and B = [9, 11, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 59 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 59 × 21 = 619.5.\n</reasoning>\nFinal Answer: 619.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -411 mod -775"
},
{
"role": "assistant",
"content": "<reasoning>\n-411 mod -775: -411 = -775 × 0 + -411, so remainder = -411.\n</reasoning>\nFinal Answer: -411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2140. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2140 × 5/100 = 107.0. Total = 2140 + 107.0 = 2247.0.\n</reasoning>\nFinal Answer: 2247.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/5 + 10/17. Common denominator = 85. Result = 373/85.\n</reasoning>\nFinal Answer: 373/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 46) * (31 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+46)=74, (31-38)=-7, then 74×-7=-518.\n</reasoning>\nFinal Answer: -518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-42)x + (120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -42² - 4×3×120 = 324. √discriminant = 18. x = (-(-42) ± 18) / (2×3). Solutions: x = 4 or x = 10.\n</reasoning>\nFinal Answer: x = 4 or x = 10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,23) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 2 = -222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 16x = -224. Divide by 16: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -787 mod -577"
},
{
"role": "assistant",
"content": "<reasoning>\n-787 mod -577: -787 = -577 × 1 + -210, so remainder = -210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 - 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/7 - 3/18. LCD = 6. Result = 5/6.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 13, 14, 15, 17, 18, 19] and B = [6, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 9, 13, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 9, 13, 15, 17, 18,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 602 + -219"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 602 and -219: 602 + -219 = 383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 91, 47, 27, 67, 81, 21, 19, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 495/9 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:33 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/33, so B = A × (33/48) = 38 × 33/48 = 26.125.\n</reasoning>\nFinal Answer: 26.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 599 km apart. Their speeds are 115 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+51=166 km/h. Time = 599/166 = 3.6084 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2265. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2265 × 5/100 = 113.25. Total = 2265 + 113.25 = 2378.25.\n</reasoning>\nFinal Answer: 2378.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 2, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (40-1)×2 = 27 + 78 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = 396. Divide by 11: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 46, 17, 19, 4, 32, 43, 29, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 46: 1, 17: 1, 19: 1, 4: 1, 32: 1, 43: 1, 29: 1, 7: 1}. Most frequent: [18, 46, 17, 19, 4, 32, 43, 29, 7].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 5."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 5 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 1 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 43/60 = 1.7167 hours. Distance = speed × time = 126 × 1.7167 = 216.3 km.\n</reasoning>\nFinal Answer: 216.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 30 + 30 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×30=1500 and 30×48=1440, then add: 2940.\n</reasoning>\nFinal Answer: 2940"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 40. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 40 ≈ 251.3274.\n</reasoning>\nFinal Answer: 251.3274"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: -992 ÷ 121"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -992 by 121. -992 ÷ 121 = -9 (integer division).\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -822 + 983"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -822 and 983: -822 + 983 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 5 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 5 = 35 worker-days. New time = 35 / 16 = 2.1875 days.\n</reasoning>\nFinal Answer: 2.1875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 / 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/9) ÷ (5/19) = (17/9) × (19/5) = 323/45.\n</reasoning>\nFinal Answer: 323/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 145 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 145 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -37 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 1x = -14. Divide by 1: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 7, 8, 9, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 1. Next term = 10 + 1 = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 21 = -252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 13x = -273. Divide by 13: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 * 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/20) × (6/19) = (66/380) = 33/190 after simplification.\n</reasoning>\nFinal Answer: 33/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30427 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30427 × 7 × 7 / 100 = 14909.23.\n</reasoning>\nFinal Answer: 14909.23"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 14 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 50+196-7=239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -5 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 19x = 38. Divide by 19: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 30 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 24x = -120. Divide by 24: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 57 = 4731.\n</reasoning>\nFinal Answer: 4731"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 4, 83, 19, 35, 25, 51, 13, 63, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/10 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 24 = 442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 19x = 418. Divide by 19: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 / 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/9) ÷ (6/16) = (15/9) × (16/6) = 40/9.\n</reasoning>\nFinal Answer: 40/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -31 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 27x = -270. Divide by 27: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 52, 18, 68, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 286/5 = 57.2.\n</reasoning>\nFinal Answer: 57.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 9, 10, 15, 17, 18] and B = [3, 8, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 7, 8, 9, 10, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [3, 5, 7, 8, 9, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 34, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 34 + 38 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 36 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+36) × 50 = 1075.0.\n</reasoning>\nFinal Answer: 1075.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 23 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 3x = 105. Divide by 3: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -371 mod -651"
},
{
"role": "assistant",
"content": "<reasoning>\n-371 mod -651: -371 = -651 × 0 + -371, so remainder = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 + 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/19 + 7/8. Common denominator = 152. Result = 221/152.\n</reasoning>\nFinal Answer: 221/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 732 + 891"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 732 and 891: 732 + 891 = 1623.\n</reasoning>\nFinal Answer: 1623"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 610 ÷ -890"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 610 by -890. 610 ÷ -890 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 20 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 20 = 80 worker-days. New time = 80 / 15 = 5.3333 days.\n</reasoning>\nFinal Answer: 5.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-84) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-84 = 676. √discriminant = 26. x = (-(-2) ± 26) / (2×2). Solutions: x = 7 or x = -6.\n</reasoning>\nFinal Answer: x = 7 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 49 = 169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 3x = 120. Divide by 3: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 11."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 11 by smallest primes repeatedly: 11 = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 252 × -425"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 252 by -425: 252 × -425 = -107100.\n</reasoning>\nFinal Answer: -107100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 11, 12, 14, 17, 19] and B = [5, 12, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 11, 14, 19].\n</reasoning>\nFinal Answer: [4, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 9 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -696 ÷ -387"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -696 by -387. -696 ÷ -387 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 51, 8, 11, 82, 80, 32, 31, 10, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 372/10 = 37.2.\n</reasoning>\nFinal Answer: 37.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -819 × -495"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -819 by -495: -819 × -495 = 405405.\n</reasoning>\nFinal Answer: 405405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 9 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 9 = 144 worker-days. New time = 144 / 8 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:2 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/2, so B = A × (2/49) = 33 × 2/49 = 1.3469.\n</reasoning>\nFinal Answer: 1.3469"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 31 = 175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 4x = 144. Divide by 4: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×26)/1 = 1274.\n</reasoning>\nFinal Answer: 1274"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 49 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 40+2401-9=2432.\n</reasoning>\nFinal Answer: 2432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 34 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 34 × 59 = 2006.\n</reasoning>\nFinal Answer: 2006"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 30, 3, 36, 75, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 3 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 437 + -902"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 437 and -902: 437 + -902 = -465.\n</reasoning>\nFinal Answer: -465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 40, 31, 82, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 40: 1, 31: 1, 82: 1, 38: 1}. Most frequent: [34, 40, 31, 82, 38].\n</reasoning>\nFinal Answer: [34, 40, 31, 82, 38]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 34) * (26 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+34)=55, (26-14)=12, then 55×12=660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 263 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 263 × (1 + 40/100) = 263 × 1.4 = 368.2.\n</reasoning>\nFinal Answer: 368.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 / 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/5) ÷ (17/16) = (16/5) × (16/17) = 256/85.\n</reasoning>\nFinal Answer: 256/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 3 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 32/60 = 3.5333 hours. Distance = speed × time = 117 × 3.5333 = 413.4 km.\n</reasoning>\nFinal Answer: 413.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -798 × -953"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -798 by -953: -798 × -953 = 760494.\n</reasoning>\nFinal Answer: 760494"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 91 = 1774.5.\n</reasoning>\nFinal Answer: 1774.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 11 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 11 = 66 worker-days. New time = 66 / 15 = 4.4 days.\n</reasoning>\nFinal Answer: 4.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 35 = 2100.\n</reasoning>\nFinal Answer: 2100"
}
] | easy | [
"geometry",
"area"
] |
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