messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 11, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (21-1)×11 = 14 + 220 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 10 = 175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 5x = 165. Divide by 5: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 194 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 47) * (37 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+47)=88, (37-36)=1, then 88×1=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = 65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = 72. Divide by 6: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 15, 92, 31, 4, 89, 84, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 15: 1, 92: 1, 31: 1, 4: 1, 89: 1, 84: 1, 54: 1}. Most frequent: [41, 15, 92, 31, 4, 89, 84, 54].\n</reasoning>\nFinal Answer: [41, 15, 92... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -24 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 9x = 117. Divide by 9: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 9 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 4/60 = 9.0667 hours. Distance = speed × time = 103 × 9.0667 = 933.8667 km.\n</reasoning>\nFinal Answer: 933.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 42 = 3570.\n</reasoning>\nFinal Answer: 3570"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 22 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(22+31) = 2×53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 33) * (7 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+33)=38, (7-1)=6, then 38×6=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = 294. Divide by 7: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 38 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 38+1444-43=1439.\n</reasoning>\nFinal Answer: 1439"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 15 = 15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 10x = 0. Divide by 10: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 28 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 44+784-15=813.\n</reasoning>\nFinal Answer: 813"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×12)/12 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 752 × 195"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 752 by 195: 752 × 195 = 146640.\n</reasoning>\nFinal Answer: 146640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:33 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/33, so B = A × (33/36) = 47 × 33/36 = 43.0833.\n</reasoning>\nFinal Answer: 43.0833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 401."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 401 by smallest primes repeatedly: 401 = 401.\n</reasoning>\nFinal Answer: 401"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Increase 309 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 309 × (1 + 100/100) = 309 × 2.0 = 618.0.\n</reasoning>\nFinal Answer: 618.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3859. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3859 × 12/100 = 463.08. Total = 3859 + 463.08 = 4322.08.\n</reasoning>\nFinal Answer: 4322.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 10/2. Common denominator = 1. Result = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 31 = 899.0.\n</reasoning>\nFinal Answer: 899.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 11 * 26 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×26=286, then 26+286-25=287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×9)/3 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 / 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/19) ÷ (10/4) = (12/19) × (4/10) = 24/95.\n</reasoning>\nFinal Answer: 24/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 18, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (16-1)×18 = 7 + 270 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹3632. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3632 × 5/100 = 181.6. Total = 3632 + 181.6 = 3813.6.\n</reasoning>\nFinal Answer: 3813.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -350 ÷ 131"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -350 by 131. -350 ÷ 131 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -9 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 6x = 42. Divide by 6: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -41 = -915"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 23x = -874. Divide by 23: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18237 at 6% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18237 × 6 × 6 / 100 = 6565.32.\n</reasoning>\nFinal Answer: 6565.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16356 at 19% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16356 × 19 × 2 / 100 = 6215.28.\n</reasoning>\nFinal Answer: 6215.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 49, 87, 46, 100, 42, 41, 10, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 49: 1, 87: 1, 46: 1, 100: 1, 42: 1, 41: 1, 10: 1, 69: 1}. Most frequent: [23, 49, 87, 46, 100, 42, 41, 10, 69].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 24 * 45 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×45=1080, then 16+1080-42=1054.\n</reasoning>\nFinal Answer: 1054"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 + 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/20 + 15/2. Common denominator = 20. Result = 159/20.\n</reasoning>\nFinal Answer: 159/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 38 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 3% of 855?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 855 = (3/100) × 855 = 25.65.\n</reasoning>\nFinal Answer: 25.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 635 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 635 × (1 + 60/100) = 635 × 1.6 = 1016.0.\n</reasoning>\nFinal Answer: 1016.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 83, 51, 91, 88, 14, 18, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 83: 2, 51: 1, 91: 1, 88: 1, 14: 1, 18: 1}. Most frequent: 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -14 = -894"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 22x = -880. Divide by 22: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 395 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 395 × (1 + 10/100) = 395 × 1.1 = 434.5.\n</reasoning>\nFinal Answer: 434.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×34)/1 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 657 km apart. Their speeds are 120 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+44=164 km/h. Time = 657/164 = 4.0061 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "210 is what percentage of 952?"
},
{
"role": "assistant",
"content": "<reasoning>\n(210/952) × 100 = 22.0588%.\n</reasoning>\nFinal Answer: 22.0588%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/18 - 5/5. LCD = 9. Result = -2/9.\n</reasoning>\nFinal Answer: -2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 50. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 50² = π × 2500 ≈ 7853.9816.\n</reasoning>\nFinal Answer: 7853.9816"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (12/16) = (18/9) × (16/12) = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 25 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 7x = -77. Divide by 7: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 751 - -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -96 from 751: 751 - -96 = 847.\n</reasoning>\nFinal Answer: 847"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+3) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 22, 97, 15, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 15 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 541 km apart. Their speeds are 52 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+69=121 km/h. Time = 541/121 = 4.4711 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 28 = 952"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 22x = 924. Divide by 22: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 38 and 115."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(38,115) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 10, 12, 13, 18, 19] and B = [6, 10, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 12, 13, 17, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 36. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 36² = π × 1296 ≈ 4071.5041.\n</reasoning>\nFinal Answer: 4071.5041"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 9 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 9 = 63 worker-days. New time = 63 / 7 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,78) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -13 = -881"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 28x = -868. Divide by 28: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 34, 63, 22, 57, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 34: 1, 63: 1, 22: 1, 57: 1, 46: 1}. Most frequent: [89, 34, 63, 22, 57, 46].\n</reasoning>\nFinal Answer: [89, 34, 63, 22, 57, 46]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 154 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(154,84) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 35 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 5x = 0. Divide by 5: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 47 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 33+2209-44=2198.\n</reasoning>\nFinal Answer: 2198"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 102 km/h. How far does it travel in 1 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 2/60 = 1.0333 hours. Distance = speed × time = 102 × 1.0333 = 105.4 km.\n</reasoning>\nFinal Answer: 105.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 43 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 23x = 92. Divide by 23: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -59 + 584"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -59 and 584: -59 + 584 = 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -1000 - -800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -800 from -1000: -1000 - -800 = -200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:12 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/12, so B = A × (12/30) = 100 × 12/30 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 45 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 29+2025-3=2051.\n</reasoning>\nFinal Answer: 2051"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 + 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/14 + 1/13. Common denominator = 182. Result = 209/182.\n</reasoning>\nFinal Answer: 209/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 62, 1, 88, 93, 84, 21, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 62: 1, 1: 1, 88: 1, 93: 1, 84: 1, 21: 1, 70: 1}. Most frequent: [39, 62, 1, 88, 93, 84, 21, 70].\n</reasoning>\nFinal Answer: [39, 62, 1,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -559 mod -446"
},
{
"role": "assistant",
"content": "<reasoning>\n-559 mod -446: -559 = -446 × 1 + -113, so remainder = -113.\n</reasoning>\nFinal Answer: -113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -599 mod -78"
},
{
"role": "assistant",
"content": "<reasoning>\n-599 mod -78: -599 = -78 × 7 + -53, so remainder = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 14, 17, 19] and B = [2, 3, 5, 7, 8, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 7, 8, 9, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [2, 3, 5, 7, 8, 9, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "181 is what percentage of 937?"
},
{
"role": "assistant",
"content": "<reasoning>\n(181/937) × 100 = 19.317%.\n</reasoning>\nFinal Answer: 19.317%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 744 + 356"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 744 and 356: 744 + 356 = 1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 60, 64, 91, 34, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 11 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 23 * 38 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×38=874, then 18+874-39=853.\n</reasoning>\nFinal Answer: 853"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 90, 30, 88, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 90: 1, 30: 1, 88: 1, 1: 1}. Most frequent: [22, 90, 30, 88, 1].\n</reasoning>\nFinal Answer: [22, 90, 30, 88, 1]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:48 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/48, so B = A × (48/17) = 20 × 48/17 = 56.4706.\n</reasoning>\nFinal Answer: 56.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 131 and 85."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(131,85) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 336 × -103"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 336 by -103: 336 × -103 = -34608.\n</reasoning>\nFinal Answer: -34608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -748 ÷ 118"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -748 by 118. -748 ÷ 118 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -12 = 1248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 30x = 1260. Divide by 30: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/10 + 13/1. Common denominator = 10. Result = 139/10.\n</reasoning>\nFinal Answer: 139/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 16 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 16 = 192 worker-days. New time = 192 / 19 = 10.1053 days.\n</reasoning>\nFinal Answer: 10.1053"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 70, 43, 34, 31, 60, 7, 35, 8, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/10 = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 941 mod -718"
},
{
"role": "assistant",
"content": "<reasoning>\n941 mod -718: 941 = -718 × -2 + -495, so remainder = -495.\n</reasoning>\nFinal Answer: -495"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 15 + 49 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×15=105 and 49×17=833, then add: 938.\n</reasoning>\nFinal Answer: 938"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 2 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 24/60 = 2.4000 hours. Distance = speed × time = 189 × 2.4000 = 453.6 km.\n</reasoning>\nFinal Answer: 453.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 6, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (35-1)×6 = 28 + 204 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 6 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 40+36-29=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 13] and B = [1, 3, 8, 10, 12, 13, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 4 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+4) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 13 = 277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 6x = 264. Divide by 6: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -912 ÷ 314"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -912 by 314. -912 ÷ 314 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 * 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/3) × (6/9) = (30/27) = 10/9 after simplification.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 45 = 390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 15x = 345. Divide by 15: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
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