messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 5:37 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/37, so B = A × (37/5) = 36 × 37/5 = 266.4.\n</reasoning>\nFinal Answer: 266.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41021 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41021 × 16 × 2 / 100 = 13126.72.\n</reasoning>\nFinal Answer: 13126.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 84."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 84 by smallest primes repeatedly: 84 = 2 × 2 × 3 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 75 = 7050.\n</reasoning>\nFinal Answer: 7050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:4 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/4, so B = A × (4/7) = 73 × 4/7 = 41.7143.\n</reasoning>\nFinal Answer: 41.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 20 = 310.0.\n</reasoning>\nFinal Answer: 310.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 76, 21, 6, 69, 19, 55, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 317/8 = 39.625.\n</reasoning>\nFinal Answer: 39.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 10, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (18-1)×10 = 24 + 170 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -971 × 499"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -971 by 499: -971 × 499 = -484529.\n</reasoning>\nFinal Answer: -484529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 33 + 38 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 27 = 365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 26x = 338. Divide by 26: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 22 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 22 × (1 + 30/100) = 22 × 1.3 = 28.6.\n</reasoning>\nFinal Answer: 28.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹786. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 786 × 28/100 = 220.08. Total = 786 + 220.08 = 1006.08.\n</reasoning>\nFinal Answer: 1006.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 8, 12, 17, 18, 19] and B = [7, 10, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [3, 6, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 34 = 629.0.\n</reasoning>\nFinal Answer: 629.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 84, 56, 41, 51, 37, 29, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 29, 37, 41, 51, 56, 63, 84]. Middle value(s) → median = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -2 mod -79"
},
{
"role": "assistant",
"content": "<reasoning>\n-2 mod -79: -2 = -79 × 0 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 37 + 49 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×37=1480 and 49×2=98, then add: 1578.\n</reasoning>\nFinal Answer: 1578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 / 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/16) ÷ (18/7) = (11/16) × (7/18) = 77/288.\n</reasoning>\nFinal Answer: 77/288"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 16) * (20 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+16)=42, (20-25)=-5, then 42×-5=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -956 mod -616"
},
{
"role": "assistant",
"content": "<reasoning>\n-956 mod -616: -956 = -616 × 1 + -340, so remainder = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 / 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/4) ÷ (8/6) = (1/4) × (6/8) = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 40 = 1400.\n</reasoning>\nFinal Answer: 1400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -29 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 20x = 460. Divide by 20: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 - 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/4 - 19/11. LCD = 11. Result = 25/11.\n</reasoning>\nFinal Answer: 25/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 136 km apart. Their speeds are 94 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+106=200 km/h. Time = 136/200 = 0.68 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 35 = -586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 27x = -621. Divide by 27: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 8 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 19/60 = 8.3167 hours. Distance = speed × time = 75 × 8.3167 = 623.75 km.\n</reasoning>\nFinal Answer: 623.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 25 + 49 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×25=1225 and 49×26=1274, then add: 2499.\n</reasoning>\nFinal Answer: 2499"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 56 and 125."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(56,125) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 10, 12, 14, 19] and B = [1, 3, 11, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 19].\n</reasoning>\nFinal Answer: [1, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 22 + 10 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×22=638 and 10×20=200, then add: 838.\n</reasoning>\nFinal Answer: 838"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4747. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4747 × 18/100 = 854.46. Total = 4747 + 854.46 = 5601.46.\n</reasoning>\nFinal Answer: 5601.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -581 + 790"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -581 and 790: -581 + 790 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 751 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 751 × (1 - 17/100) = 751 × 0.83 = 623.33.\n</reasoning>\nFinal Answer: 623.33"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 377 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 377 × (1 - 7/100) = 377 × 0.9299999999999999 = 350.61.\n</reasoning>\nFinal Answer: 350.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 7 = -641"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 24x = -648. Divide by 24: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 6 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 1x = -2. Divide by 1: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 49 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 24+2401-47=2378.\n</reasoning>\nFinal Answer: 2378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 92 = 2760.0.\n</reasoning>\nFinal Answer: 2760.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 94 = 6674.\n</reasoning>\nFinal Answer: 6674"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 + 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/3 + 10/16. Common denominator = 8. Result = 45/8.\n</reasoning>\nFinal Answer: 45/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 46 * 50 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×50=2300, then 43+2300-13=2330.\n</reasoning>\nFinal Answer: 2330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 38, 59, 70, 74, 4, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 38: 1, 59: 1, 70: 1, 74: 1, 4: 1, 96: 1}. Most frequent: [39, 38, 59, 70, 74, 4, 96].\n</reasoning>\nFinal Answer: [39, 38, 59, 70, 74, 4, 96... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 9 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 14+81-7=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -784 - 378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 378 from -784: -784 - 378 = -1162.\n</reasoning>\nFinal Answer: -1162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 36 = 972.\n</reasoning>\nFinal Answer: 972"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 17 = 773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 27x = 756. Divide by 27: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 34, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 34 + 35 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 616 × 278"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 616 by 278: 616 × 278 = 171248.\n</reasoning>\nFinal Answer: 171248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 38 * 14 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×14=532, then 5+532-31=506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/16 - 20/16. LCD = 16. Result = -7/16.\n</reasoning>\nFinal Answer: -7/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×22)/1 = 550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 7 + 23 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×7=210 and 23×41=943, then add: 1153.\n</reasoning>\nFinal Answer: 1153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×31)/1 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 229 ÷ 768"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 229 by 768. 229 ÷ 768 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -356 mod 707"
},
{
"role": "assistant",
"content": "<reasoning>\n-356 mod 707: -356 = 707 × -1 + 351, so remainder = 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 24) * (32 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+24)=71, (32-13)=19, then 71×19=1349.\n</reasoning>\nFinal Answer: 1349"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 16 = 624.\n</reasoning>\nFinal Answer: 624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -761 - 627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 627 from -761: -761 - 627 = -1388.\n</reasoning>\nFinal Answer: -1388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 30, 10, 84, 5, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 5 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 + 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/16 + 5/5. Common denominator = 8. Result = 13/8.\n</reasoning>\nFinal Answer: 13/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2296. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2296 × 28/100 = 642.88. Total = 2296 + 642.88 = 2938.88.\n</reasoning>\nFinal Answer: 2938.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 + 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/6 + 5/13. Common denominator = 39. Result = 28/39.\n</reasoning>\nFinal Answer: 28/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3269 at 12% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3269 × 12 × 7 / 100 = 2745.96.\n</reasoning>\nFinal Answer: 2745.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 80% of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 140 = (80/100) × 140 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -860 × 543"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -860 by 543: -860 × 543 = -466980.\n</reasoning>\nFinal Answer: -466980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 802?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 802 = (5/100) × 802 = 40.1.\n</reasoning>\nFinal Answer: 40.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 8 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 8 = 80 worker-days. New time = 80 / 12 = 6.6667 days.\n</reasoning>\nFinal Answer: 6.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 29 * 35 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×35=1015, then 49+1015-15=1049.\n</reasoning>\nFinal Answer: 1049"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 11, 15] and B = [1, 3, 8, 10, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 8, 10, 11, 13, 15, 16, 19].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:25 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/25, so B = A × (25/15) = 15 × 25/15 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 7) * (3 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+7)=33, (3-30)=-27, then 33×-27=-891.\n</reasoning>\nFinal Answer: -891"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 69, 6, 15, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 69: 1, 6: 1, 15: 1, 93: 1}. Most frequent: [28, 69, 6, 15, 93].\n</reasoning>\nFinal Answer: [28, 69, 6, 15, 93]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -12 = 618"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 18x = 630. Divide by 18: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+19) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 8 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 38 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 14+1444-9=1449.\n</reasoning>\nFinal Answer: 1449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 10 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 53/60 = 10.8833 hours. Distance = speed × time = 146 × 10.8833 = 1588.9667 km.\n</reasoning>\nFinal Answer: 1588.9667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 591 - -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -208 from 591: 591 - -208 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 46, 55, 64, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 9. Next term = 73 + 9 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 122 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 122 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "23 is what percentage of 39?"
},
{
"role": "assistant",
"content": "<reasoning>\n(23/39) × 100 = 58.9744%.\n</reasoning>\nFinal Answer: 58.9744%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -619 × -465"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -619 by -465: -619 × -465 = 287835.\n</reasoning>\nFinal Answer: 287835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 15 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 15 = 180 worker-days. New time = 180 / 6 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 842 km apart. Their speeds are 98 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+56=154 km/h. Time = 842/154 = 5.4675 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 620 km apart. Their speeds are 114 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+115=229 km/h. Time = 620/229 = 2.7074 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 48, 27, 78, 48, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 6 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 590 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 590 × (1 + 45/100) = 590 × 1.45 = 855.5.\n</reasoning>\nFinal Answer: 855.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -47 = -76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 29x = -29. Divide by 29: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 16, 52, 89, 100, 29, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 10 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 33 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+33) × 26 = 1079.0.\n</reasoning>\nFinal Answer: 1079.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 22 = 22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 12x = 0. Divide by 12: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 27 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 5x = 5. Divide by 5: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 312 mod 953"
},
{
"role": "assistant",
"content": "<reasoning>\n312 mod 953: 312 = 953 × 0 + 312, so remainder = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (4)x + (-32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×1×-32 = 144. √discriminant = 12. x = (-(4) ± 12) / (2×1). Solutions: x = -8 or x = 4.\n</reasoning>\nFinal Answer: x = -8 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = 532. Divide by 28: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 15, 17, 18] and B = [2, 4, 5, 6, 14, 15, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 15].\n</reasoning>\nFinal Answer: [6, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 830 - -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from 830: 830 - -43 = 873.\n</reasoning>\nFinal Answer: 873"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "72 is what percentage of 535?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/535) × 100 = 13.4579%.\n</reasoning>\nFinal Answer: 13.4579%"
}
] | medium | [
"percentage",
"ratio"
] |
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