messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 363 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 363 × (1 + 90/100) = 363 × 1.9 = 689.7.\n</reasoning>\nFinal Answer: 689.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 38 + 26 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×38=1406 and 26×23=598, then add: 2004.\n</reasoning>\nFinal Answer: 2004"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -575 mod -809"
},
{
"role": "assistant",
"content": "<reasoning>\n-575 mod -809: -575 = -809 × 0 + -575, so remainder = -575.\n</reasoning>\nFinal Answer: -575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -513 - 473"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 473 from -513: -513 - 473 = -986.\n</reasoning>\nFinal Answer: -986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 + 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/9 + 16/15. Common denominator = 15. Result = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 19, 42, 48, 12, 39, 51, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 51 - 12 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 12, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (38-1)×12 = 28 + 444 = 472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 44, 36, 88, 54, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 36, 42, 44, 54, 88]. Middle value(s) → median = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 27 = 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 19x = 855. Divide by 19: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 * 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/1) × (17/11) = (255/11) = 255/11 after simplification.\n</reasoning>\nFinal Answer: 255/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "234 is what percentage of 719?"
},
{
"role": "assistant",
"content": "<reasoning>\n(234/719) × 100 = 32.5452%.\n</reasoning>\nFinal Answer: 32.5452%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Is 156 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n156 = 2 × 78, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -441 mod -350"
},
{
"role": "assistant",
"content": "<reasoning>\n-441 mod -350: -441 = -350 × 1 + -91, so remainder = -91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 44 = -628"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 28x = -672. Divide by 28: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17063 at 8% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17063 × 8 × 4 / 100 = 5460.16.\n</reasoning>\nFinal Answer: 5460.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -655 - -979"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -979 from -655: -655 - -979 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 24."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 24: factors are [1, 2, 3, 4, 6, 8, 12, 24].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 8, 12, 24]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "3 is what percentage of 4?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/4) × 100 = 75.0%.\n</reasoning>\nFinal Answer: 75.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 15, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 15 + 20 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 56, 5, 52, 10, 75, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 10, 24, 25, 52, 56, 75]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -915 × -178"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -915 by -178: -915 × -178 = 162870.\n</reasoning>\nFinal Answer: 162870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 30, 67, 88, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 20 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -19 = -695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 26x = -676. Divide by 26: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 13 mod -993"
},
{
"role": "assistant",
"content": "<reasoning>\n13 mod -993: 13 = -993 × -1 + -980, so remainder = -980.\n</reasoning>\nFinal Answer: -980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "101 is what percentage of 427?"
},
{
"role": "assistant",
"content": "<reasoning>\n(101/427) × 100 = 23.6534%.\n</reasoning>\nFinal Answer: 23.6534%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 47 = -933"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 20x = -980. Divide by 20: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -5 = -605"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 15x = -600. Divide by 15: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 266 km apart. Their speeds are 71 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+47=118 km/h. Time = 266/118 = 2.2542 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "198 is what percentage of 900?"
},
{
"role": "assistant",
"content": "<reasoning>\n(198/900) × 100 = 22.0%.\n</reasoning>\nFinal Answer: 22.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 5 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+5) × 6 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 369 × 297"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 369 by 297: 369 × 297 = 109593.\n</reasoning>\nFinal Answer: 109593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 209 mod 46"
},
{
"role": "assistant",
"content": "<reasoning>\n209 mod 46: 209 = 46 × 4 + 25, so remainder = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 23, 10, 29, 58, 39, 84, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 297/8 = 37.125.\n</reasoning>\nFinal Answer: 37.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 + 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/2 + 15/1. Common denominator = 2. Result = 39/2.\n</reasoning>\nFinal Answer: 39/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 - 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/14 - 6/4. LCD = 14. Result = -9/7.\n</reasoning>\nFinal Answer: -9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -783 + 745"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -783 and 745: -783 + 745 = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 38 + 6 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×38=1368 and 6×17=102, then add: 1470.\n</reasoning>\nFinal Answer: 1470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 435 - -430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -430 from 435: 435 - -430 = 865.\n</reasoning>\nFinal Answer: 865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 - 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/13 - 14/17. LCD = 221. Result = -114/221.\n</reasoning>\nFinal Answer: -114/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 57, 74, 86, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 255/5 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -826 ÷ 71"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -826 by 71. -826 ÷ 71 = -12 (integer division).\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/7 = 0.4286.\n</reasoning>\nFinal Answer: 0.4286"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -194 × -315"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -194 by -315: -194 × -315 = 61110.\n</reasoning>\nFinal Answer: 61110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 136 and 151."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(136,151) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 12, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (25-1)×12 = 33 + 288 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 48 + 23 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×48=1104 and 23×13=299, then add: 1403.\n</reasoning>\nFinal Answer: 1403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 22, 2, 32, 18, 70, 18, 75, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 12, 18, 18, 18, 22, 32, 70, 75]. Middle value(s) → median = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -521 × 857"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -521 by 857: -521 × 857 = -446497.\n</reasoning>\nFinal Answer: -446497"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 18/20. Common denominator = 10. Result = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 31 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+31) × 11 = 236.5.\n</reasoning>\nFinal Answer: 236.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×43)/1 = 903.\n</reasoning>\nFinal Answer: 903"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -796 ÷ 281"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -796 by 281. -796 ÷ 281 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 74, 20, 19, 16, 72, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 74: 1, 20: 1, 19: 1, 16: 1, 72: 1, 11: 1}. Most frequent: [93, 74, 20, 19, 16, 72, 11].\n</reasoning>\nFinal Answer: [93, 74, 20, 19, 16, 72... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 13, 80, 72, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 13: 1, 80: 1, 72: 1, 96: 1}. Most frequent: [86, 13, 80, 72, 96].\n</reasoning>\nFinal Answer: [86, 13, 80, 72, 96]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹4139. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4139 × 12/100 = 496.68. Total = 4139 + 496.68 = 4635.68.\n</reasoning>\nFinal Answer: 4635.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 - 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/3 - 12/17. LCD = 17. Result = 39/17.\n</reasoning>\nFinal Answer: 39/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28579 at 13% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28579 × 13 × 4 / 100 = 14861.08.\n</reasoning>\nFinal Answer: 14861.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 13/10. Common denominator = 170. Result = 331/170.\n</reasoning>\nFinal Answer: 331/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -2 = -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 21x = -84. Divide by 21: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 709 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 709 × (1 + 75/100) = 709 × 1.75 = 1240.75.\n</reasoning>\nFinal Answer: 1240.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 2 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 55/60 = 2.9167 hours. Distance = speed × time = 49 × 2.9167 = 142.9167 km.\n</reasoning>\nFinal Answer: 142.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 47 + 7 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×47=2303 and 7×1=7, then add: 2310.\n</reasoning>\nFinal Answer: 2310"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 983 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 983 × (1 + 100/100) = 983 × 2.0 = 1966.0.\n</reasoning>\nFinal Answer: 1966.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 17 = 416.5.\n</reasoning>\nFinal Answer: 416.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 9 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 59/60 = 9.9833 hours. Distance = speed × time = 130 × 9.9833 = 1297.8333 km.\n</reasoning>\nFinal Answer: 1297.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35352 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35352 × 16 × 6 / 100 = 33937.92.\n</reasoning>\nFinal Answer: 33937.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -12 = 420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 24x = 432. Divide by 24: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:48 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/48, so B = A × (48/38) = 84 × 48/38 = 106.1053.\n</reasoning>\nFinal Answer: 106.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 40 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 31+1600-37=1594.\n</reasoning>\nFinal Answer: 1594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -832 mod -177"
},
{
"role": "assistant",
"content": "<reasoning>\n-832 mod -177: -832 = -177 × 4 + -124, so remainder = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 47, 76, 91, 40, 100, 45, 85, 93, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 703/10 = 70.3.\n</reasoning>\nFinal Answer: 70.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 21, 16, 82, 36, 82, 91, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 21: 1, 16: 1, 82: 2, 36: 1, 91: 1, 33: 1}. Most frequent: 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 16] and B = [2, 6, 10, 11, 14, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 10, 11, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: [2, 4, 6, 10, 11, 14, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 37) * (2 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+37)=74, (2-46)=-44, then 74×-44=-3256.\n</reasoning>\nFinal Answer: -3256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -606 mod 312"
},
{
"role": "assistant",
"content": "<reasoning>\n-606 mod 312: -606 = 312 × -2 + 18, so remainder = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 - 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/17 - 20/18. LCD = 153. Result = -134/153.\n</reasoning>\nFinal Answer: -134/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 + 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/13 + 11/19. Common denominator = 247. Result = 352/247.\n</reasoning>\nFinal Answer: 352/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 30, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 30 + 37 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 / 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/8) ÷ (3/5) = (19/8) × (5/3) = 95/24.\n</reasoning>\nFinal Answer: 95/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -25 = 584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 21x = 609. Divide by 21: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 28 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 28 = 84 worker-days. New time = 84 / 3 = 28.0 days.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 37 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+37) × 24 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 25 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(25+80) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (18)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×1×80 = 4. √discriminant = 2. x = (-(18) ± 2) / (2×1). Solutions: x = -10 or x = -8.\n</reasoning>\nFinal Answer: x = -10 or x = -8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 3, 7, 10, 12, 68, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 2, 3: 1, 7: 1, 12: 1, 68: 1, 63: 1}. Most frequent: 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -24 = -986"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 26x = -962. Divide by 26: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 36, 74, 47, 28, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 3 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 10, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (46-1)×10 = 25 + 450 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 + 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/7 + 19/11. Common denominator = 77. Result = 331/77.\n</reasoning>\nFinal Answer: 331/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 24, 42, 11, 97, 32, 45, 79, 13, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 449/10 = 44.9.\n</reasoning>\nFinal Answer: 44.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 781 km apart. Their speeds are 47 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+60=107 km/h. Time = 781/107 = 7.2991 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 15 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+15) × 2 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 74 mod -424"
},
{
"role": "assistant",
"content": "<reasoning>\n74 mod -424: 74 = -424 × -1 + -350, so remainder = -350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 12 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+12) × 37 = 703.0.\n</reasoning>\nFinal Answer: 703.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 785 + -444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 785 and -444: 785 + -444 = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -700 mod 726"
},
{
"role": "assistant",
"content": "<reasoning>\n-700 mod 726: -700 = 726 × -1 + 26, so remainder = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 86, 72, 53, 87, 40, 44, 35, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 32 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -17 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-20)x + (-25) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×5×-25 = 900. √discriminant = 30. x = (-(-20) ± 30) / (2×5). Solutions: x = -1 or x = 5.\n</reasoning>\nFinal Answer: x = -1 or x = 5"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 17% of 172?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 172 = (17/100) × 172 = 29.24.\n</reasoning>\nFinal Answer: 29.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
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