messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+9) = 2×36 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "185 is what percentage of 201?"
},
{
"role": "assistant",
"content": "<reasoning>\n(185/201) × 100 = 92.0398%.\n</reasoning>\nFinal Answer: 92.0398%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 935 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 935 × (1 - 45/100) = 935 × 0.55 = 514.25.\n</reasoning>\nFinal Answer: 514.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 100, 64, 40, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 337/5 = 67.4.\n</reasoning>\nFinal Answer: 67.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -146 mod -180"
},
{
"role": "assistant",
"content": "<reasoning>\n-146 mod -180: -146 = -180 × 0 + -146, so remainder = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 7 * 6 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×6=42, then 24+42-48=18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 11 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 11 = 154 worker-days. New time = 154 / 15 = 10.2667 days.\n</reasoning>\nFinal Answer: 10.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 25 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(25+18) = 2×43 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 907 km apart. Their speeds are 117 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+50=167 km/h. Time = 907/167 = 5.4311 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 11, 14, 16, 17] and B = [1, 2, 6, 9, 11], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 11].\n</reasoning>\nFinal Answer: [9, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 449 mod -1"
},
{
"role": "assistant",
"content": "<reasoning>\n449 mod -1: 449 = -1 × -449 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 182 km apart. Their speeds are 57 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+69=126 km/h. Time = 182/126 = 1.4444 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 35 * 11 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×11=385, then 7+385-25=367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 61, 25, 64, 66, 65, 52, 70, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 61: 1, 25: 1, 64: 1, 66: 1, 65: 1, 52: 1, 70: 1, 80: 1}. Most frequent: [14, 61, 25, 64, 66, 65, 52, 70, 80].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [4, 18, 19] and B = [5, 7, 10, 12, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 10, 12, 16, 18, 19].\n</reasoning>\nFinal Answer: [4, 5, 7, 10, 12, 16, 18, 19]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -5 = 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 21x = 357. Divide by 21: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 583 - 716"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 716 from 583: 583 - 716 = -133.\n</reasoning>\nFinal Answer: -133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 29 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+29) × 42 = 714.0.\n</reasoning>\nFinal Answer: 714.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -307 ÷ 556"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -307 by 556. -307 ÷ 556 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:22 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/22, so B = A × (22/33) = 85 × 22/33 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42342 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42342 × 17 × 7 / 100 = 50386.98.\n</reasoning>\nFinal Answer: 50386.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 17) * (36 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+17)=57, (36-34)=2, then 57×2=114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 2 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 15+4-17=2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 103 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(103,74) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+68) = 2×164 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 7 * 46 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×46=322, then 39+322-24=337.\n</reasoning>\nFinal Answer: 337"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:40 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/40, so B = A × (40/35) = 2 × 40/35 = 2.2857.\n</reasoning>\nFinal Answer: 2.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 14/1. Common denominator = 15. Result = 226/15.\n</reasoning>\nFinal Answer: 226/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 401 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 401 × (1 + 40/100) = 401 × 1.4 = 561.4.\n</reasoning>\nFinal Answer: 561.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2135. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2135 × 12/100 = 256.2. Total = 2135 + 256.2 = 2391.2.\n</reasoning>\nFinal Answer: 2391.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 - 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/10 - 18/18. LCD = 10. Result = -7/10.\n</reasoning>\nFinal Answer: -7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 61 = 4819.\n</reasoning>\nFinal Answer: 4819"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 5, 21, 46, 71, 86, 39, 66, 12, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 5: 1, 21: 1, 46: 1, 71: 1, 86: 1, 39: 1, 66: 1, 12: 1, 11: 1}. Most frequent: [56, 5, 21, 46, 71, 86, 39, 66, 12, 11].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 - 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/15 - 6/1. LCD = 3. Result = -16/3.\n</reasoning>\nFinal Answer: -16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 180 km apart. Their speeds are 83 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+43=126 km/h. Time = 180/126 = 1.4286 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 17/14. Common denominator = 238. Result = 541/238.\n</reasoning>\nFinal Answer: 541/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -465 - 977"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 977 from -465: -465 - 977 = -1442.\n</reasoning>\nFinal Answer: -1442"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 44 * 1 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×1=44, then 44+44-9=79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 102 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 102 × (1 + 5/100) = 102 × 1.05 = 107.1.\n</reasoning>\nFinal Answer: 107.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 34 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 18+1156-11=1163.\n</reasoning>\nFinal Answer: 1163"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -75 mod 36"
},
{
"role": "assistant",
"content": "<reasoning>\n-75 mod 36: -75 = 36 × -3 + 33, so remainder = 33.\n</reasoning>\nFinal Answer: 33"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 169 km/h. How far does it travel in 10 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 59/60 = 10.9833 hours. Distance = speed × time = 169 × 10.9833 = 1856.1833 km.\n</reasoning>\nFinal Answer: 1856.1833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "317 is what percentage of 502?"
},
{
"role": "assistant",
"content": "<reasoning>\n(317/502) × 100 = 63.1474%.\n</reasoning>\nFinal Answer: 63.1474%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1710. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1710 × 12/100 = 205.2. Total = 1710 + 205.2 = 1915.2.\n</reasoning>\nFinal Answer: 1915.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 6 * 4 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×4=24, then 26+24-38=12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 522 km apart. Their speeds are 81 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+94=175 km/h. Time = 522/175 = 2.9829 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 86 = 4386.\n</reasoning>\nFinal Answer: 4386"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 13, 18] and B = [1, 3, 8, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 7, 8, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [1, 3, 5, 7, 8, 13, 14, 17, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 154 × -594"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 154 by -594: 154 × -594 = -91476.\n</reasoning>\nFinal Answer: -91476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -592 × -522"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -592 by -522: -592 × -522 = 309024.\n</reasoning>\nFinal Answer: 309024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 740 ÷ -690"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 740 by -690. 740 ÷ -690 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 131 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 131 + 58 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30396 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30396 × 2 × 4 / 100 = 2431.68.\n</reasoning>\nFinal Answer: 2431.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 690 mod 57"
},
{
"role": "assistant",
"content": "<reasoning>\n690 mod 57: 690 = 57 × 12 + 6, so remainder = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 9, 12, 13, 16, 17] and B = [4, 5, 7, 11, 12, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 6, 9, 13, 17].\n</reasoning>\nFinal Answer: [2, 6, 9, 13, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 40 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 9x = -27. Divide by 9: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 47 + 2 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×47=1128 and 2×29=58, then add: 1186.\n</reasoning>\nFinal Answer: 1186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 4 = 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 11x = 308. Divide by 11: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 26 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 26 = 208 worker-days. New time = 208 / 6 = 34.6667 days.\n</reasoning>\nFinal Answer: 34.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 / 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/11) ÷ (17/10) = (1/11) × (10/17) = 10/187.\n</reasoning>\nFinal Answer: 10/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 104 + 627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 104 and 627: 104 + 627 = 731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 25 = -850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 25x = -875. Divide by 25: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 / 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/8) ÷ (1/20) = (15/8) × (20/1) = 75/2.\n</reasoning>\nFinal Answer: 75/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -933 mod 787"
},
{
"role": "assistant",
"content": "<reasoning>\n-933 mod 787: -933 = 787 × -2 + 641, so remainder = 641.\n</reasoning>\nFinal Answer: 641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:47 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/47, so B = A × (47/3) = 58 × 47/3 = 908.6667.\n</reasoning>\nFinal Answer: 908.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 880 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 880 × (1 + 100/100) = 880 × 2.0 = 1760.0.\n</reasoning>\nFinal Answer: 1760.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 90 = 4950.\n</reasoning>\nFinal Answer: 4950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 505 + -842"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 505 and -842: 505 + -842 = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 22, 30, 38, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 8. Next term = 46 + 8 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -853 × 476"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -853 by 476: -853 × 476 = -406028.\n</reasoning>\nFinal Answer: -406028"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 463."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 463 by smallest primes repeatedly: 463 = 463.\n</reasoning>\nFinal Answer: 463"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 44 = 132.0.\n</reasoning>\nFinal Answer: 132.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 9, 11, 13] and B = [2, 5, 7, 9, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 5, 6, 8, 11, 14].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 9, 17, 19] and B = [8, 15, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 8, 9, 15, 17, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 9, 12, 13] and B = [1, 3, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 5, 7, 9, 12, 13, 14].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 / 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/8) ÷ (10/12) = (18/8) × (12/10) = 27/10.\n</reasoning>\nFinal Answer: 27/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -12 = -252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 30x = -240. Divide by 30: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 12, 68, 14, 71, 68, 62, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 12: 1, 68: 2, 14: 1, 71: 1, 62: 1, 63: 1}. Most frequent: 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 30 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 30 = 540 worker-days. New time = 540 / 8 = 67.5 days.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -895 mod -19"
},
{
"role": "assistant",
"content": "<reasoning>\n-895 mod -19: -895 = -19 × 47 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -135 + -424"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -135 and -424: -135 + -424 = -559.\n</reasoning>\nFinal Answer: -559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 + 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/12 + 19/7. Common denominator = 21. Result = 85/21.\n</reasoning>\nFinal Answer: 85/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 33, 35, 37, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 2. Next term = 39 + 2 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:28 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/28, so B = A × (28/18) = 71 × 28/18 = 110.4444.\n</reasoning>\nFinal Answer: 110.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 17] and B = [2, 3, 4, 5, 6, 7, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 17].\n</reasoning>\nFinal Answer: [10, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/3) × (9/16) = (135/48) = 45/16 after simplification.\n</reasoning>\nFinal Answer: 45/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 62, 54, 47, 97, 54, 76, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 62: 1, 54: 2, 47: 1, 97: 1, 76: 1, 78: 1}. Most frequent: 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 20, 83, 18, 16, 96, 40, 2, 47, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 12, 16, 18, 20, 32, 40, 47, 83, 96]. Middle value(s) → median = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 176 km/h. How far does it travel in 2 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 20/60 = 2.3333 hours. Distance = speed × time = 176 × 2.3333 = 410.6667 km.\n</reasoning>\nFinal Answer: 410.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 115 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(115,195) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 610 ÷ 490"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 610 by 490. 610 ÷ 490 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 61 = 1952.\n</reasoning>\nFinal Answer: 1952"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 29 = 1204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 25x = 1175. Divide by 25: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10, 16] and B = [3, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 8, 10, 11, 12, 16].\n</reasoning>\nFinal Answer: [1, 3, 8, 10, 11, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 35 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 11+1225-42=1194.\n</reasoning>\nFinal Answer: 1194"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 7, 15] and B = [1, 2, 5, 8, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 7, 15].\n</reasoning>\nFinal Answer: [4, 7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find log base 2 of 16."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(16) = 4 because 2^4 = 16.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:6 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/6, so B = A × (6/20) = 31 × 6/20 = 9.3.\n</reasoning>\nFinal Answer: 9.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 11, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (50-1)×11 = 29 + 539 = 568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46036 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46036 × 4 × 4 / 100 = 7365.76.\n</reasoning>\nFinal Answer: 7365.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
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