messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 10, 16, 17, 18] and B = [1, 6, 7, 9, 12, 16, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 7, 8, 9, 10, 12, 18, 19].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 96 = 5952.\n</reasoning>\nFinal Answer: 5952"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 6 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 6x = -78. Divide by 6: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 376 mod -930"
},
{
"role": "assistant",
"content": "<reasoning>\n376 mod -930: 376 = -930 × -1 + -554, so remainder = -554.\n</reasoning>\nFinal Answer: -554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 4 = 6.0.\n</reasoning>\nFinal Answer: 6.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 - 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/8 - 13/2. LCD = 8. Result = -35/8.\n</reasoning>\nFinal Answer: -35/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 918 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 918 × (1 - 80/100) = 918 × 0.19999999999999996 = 183.6.\n</reasoning>\nFinal Answer: 183.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 48 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 4+2304-16=2292.\n</reasoning>\nFinal Answer: 2292"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 10, 20, 12, 64, 43, 39, 77, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 12, 20, 39, 43, 43, 64, 77]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (-126) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×-126 = 1521. √discriminant = 39. x = (-(-3) ± 39) / (2×3). Solutions: x = 7 or x = -6.\n</reasoning>\nFinal Answer: x = 7 or x = -6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 26 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 26 = 78 worker-days. New time = 78 / 14 = 5.5714 days.\n</reasoning>\nFinal Answer: 5.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 163 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(163,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -776 mod 773"
},
{
"role": "assistant",
"content": "<reasoning>\n-776 mod 773: -776 = 773 × -2 + 770, so remainder = 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 8 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 47/60 = 8.7833 hours. Distance = speed × time = 54 × 8.7833 = 474.3 km.\n</reasoning>\nFinal Answer: 474.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 9] and B = [5, 8, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 8, 9, 18].\n</reasoning>\nFinal Answer: [1, 8, 9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -12 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 1x = -13. Divide by 1: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 27 = 491"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 16x = 464. Divide by 16: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -34 = 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 8x = 96. Divide by 8: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 53 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 53 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -11 = -119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 4x = -108. Divide by 4: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 9 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 9 = 72 worker-days. New time = 72 / 16 = 4.5 days.\n</reasoning>\nFinal Answer: 4.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 202 - -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -117 from 202: 202 - -117 = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 687 × 716"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 687 by 716: 687 × 716 = 491892.\n</reasoning>\nFinal Answer: 491892"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (-64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×-64 = 1600. √discriminant = 40. x = (-(-24) ± 40) / (2×4). Solutions: x = -2 or x = 8.\n</reasoning>\nFinal Answer: x = -2 or x = 8... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 * 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/7) × (10/11) = (50/77) = 50/77 after simplification.\n</reasoning>\nFinal Answer: 50/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 39."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 39 by smallest primes repeatedly: 39 = 3 × 13.\n</reasoning>\nFinal Answer: 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 26, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 26 + 33 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -97 mod 623"
},
{
"role": "assistant",
"content": "<reasoning>\n-97 mod 623: -97 = 623 × -1 + 526, so remainder = 526.\n</reasoning>\nFinal Answer: 526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3] and B = [6, 9, 10, 12, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 9, 10, 12, 14, 15].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 9, 10, 12, 14, 15]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 646 - 448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 448 from 646: 646 - 448 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 * 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/14) × (6/6) = (102/84) = 17/14 after simplification.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 24 = 792.\n</reasoning>\nFinal Answer: 792"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 30 = 1080"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 25x = 1050. Divide by 25: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 857 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 857 × (1 + 3/100) = 857 × 1.03 = 882.71.\n</reasoning>\nFinal Answer: 882.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 49 = 121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 8x = 72. Divide by 8: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 30, 89, 87, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 30: 1, 89: 1, 87: 1, 75: 1}. Most frequent: [5, 30, 89, 87, 75].\n</reasoning>\nFinal Answer: [5, 30, 89, 87, 75]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 77."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,77) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:7 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/7, so B = A × (7/13) = 41 × 7/13 = 22.0769.\n</reasoning>\nFinal Answer: 22.0769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 63, 28, 18, 66, 79, 12, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 326/8 = 40.75.\n</reasoning>\nFinal Answer: 40.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -642 mod -119"
},
{
"role": "assistant",
"content": "<reasoning>\n-642 mod -119: -642 = -119 × 5 + -47, so remainder = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 957 - 921"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 921 from 957: 957 - 921 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:40 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/40, so B = A × (40/47) = 55 × 40/47 = 46.8085.\n</reasoning>\nFinal Answer: 46.8085"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 35 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 47+1225-14=1258.\n</reasoning>\nFinal Answer: 1258"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 197."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,197) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 14 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 14 = 252 worker-days. New time = 252 / 8 = 31.5 days.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:28 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/28, so B = A × (28/23) = 71 × 28/23 = 86.4348.\n</reasoning>\nFinal Answer: 86.4348"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:1 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/1, so B = A × (1/20) = 89 × 1/20 = 4.45.\n</reasoning>\nFinal Answer: 4.45"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 / 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/17) ÷ (9/1) = (5/17) × (1/9) = 5/153.\n</reasoning>\nFinal Answer: 5/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 462 - -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -124 from 462: 462 - -124 = 586.\n</reasoning>\nFinal Answer: 586"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 + 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/17 + 14/3. Common denominator = 51. Result = 298/51.\n</reasoning>\nFinal Answer: 298/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 8, 68, 92, 72, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 2 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 184 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(184,176) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -9 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 12x = 120. Divide by 12: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 21 = 1407.\n</reasoning>\nFinal Answer: 1407"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 11, 12, 15, 17] and B = [3, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 706 + 941"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 706 and 941: 706 + 941 = 1647.\n</reasoning>\nFinal Answer: 1647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 15] and B = [1, 7, 13, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 45 = -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 27x = -621. Divide by 27: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -875 × -413"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -875 by -413: -875 × -413 = 361375.\n</reasoning>\nFinal Answer: 361375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-40)x + (64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×4×64 = 576. √discriminant = 24. x = (-(-40) ± 24) / (2×4). Solutions: x = 8 or x = 2.\n</reasoning>\nFinal Answer: x = 8 or x = 2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -39 mod -789"
},
{
"role": "assistant",
"content": "<reasoning>\n-39 mod -789: -39 = -789 × 0 + -39, so remainder = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27925 at 8% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27925 × 8 × 7 / 100 = 15638.0.\n</reasoning>\nFinal Answer: 15638.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -35 = -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 21x = -399. Divide by 21: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 15 * 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×2=30, then 13+30-9=34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 62."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,62) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -970 ÷ 221"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -970 by 221. -970 ÷ 221 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "132 is what percentage of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n(132/143) × 100 = 92.3077%.\n</reasoning>\nFinal Answer: 92.3077%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 11/1 + 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/1 + 18/2. Common denominator = 1. Result = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 * 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/20) × (18/6) = (162/120) = 27/20 after simplification.\n</reasoning>\nFinal Answer: 27/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4207. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4207 × 5/100 = 210.35. Total = 4207 + 210.35 = 4417.35.\n</reasoning>\nFinal Answer: 4417.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 17 apples and buys 147 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 17 + 147 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "297 is what percentage of 998?"
},
{
"role": "assistant",
"content": "<reasoning>\n(297/998) × 100 = 29.7595%.\n</reasoning>\nFinal Answer: 29.7595%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 93, 28, 45, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 249/5 = 49.8.\n</reasoning>\nFinal Answer: 49.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 45 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+45) × 15 = 682.5.\n</reasoning>\nFinal Answer: 682.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 44 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 991 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 991 × (1 - 20/100) = 991 × 0.8 = 792.8.\n</reasoning>\nFinal Answer: 792.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -867 mod 589"
},
{
"role": "assistant",
"content": "<reasoning>\n-867 mod 589: -867 = 589 × -2 + 311, so remainder = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 457 mod 157"
},
{
"role": "assistant",
"content": "<reasoning>\n457 mod 157: 457 = 157 × 2 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 + 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/14 + 7/15. Common denominator = 210. Result = 143/210.\n</reasoning>\nFinal Answer: 143/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 414 × -650"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 414 by -650: 414 × -650 = -269100.\n</reasoning>\nFinal Answer: -269100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 63, 64, 83, 9, 31, 22, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 63: 1, 64: 1, 83: 1, 9: 1, 31: 1, 22: 1, 96: 1}. Most frequent: [49, 63, 64, 83, 9, 31, 22, 96].\n</reasoning>\nFinal Answer: [49, 63, 64... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 / 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/15) ÷ (15/6) = (17/15) × (6/15) = 34/75.\n</reasoning>\nFinal Answer: 34/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 * 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/9) × (1/19) = (4/171) = 4/171 after simplification.\n</reasoning>\nFinal Answer: 4/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 798 mod 446"
},
{
"role": "assistant",
"content": "<reasoning>\n798 mod 446: 798 = 446 × 1 + 352, so remainder = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 892 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 892 × (1 + 17/100) = 892 × 1.17 = 1043.64.\n</reasoning>\nFinal Answer: 1043.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [4, 88, 37, 77, 25, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 272/6 = 45.3333.\n</reasoning>\nFinal Answer: 45.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 + 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/5 + 13/5. Common denominator = 5. Result = 16/5.\n</reasoning>\nFinal Answer: 16/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 - 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/2 - 20/9. LCD = 9. Result = -2/9.\n</reasoning>\nFinal Answer: -2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 32) * (21 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+32)=61, (21-34)=-13, then 61×-13=-793.\n</reasoning>\nFinal Answer: -793"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 955 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 955 × (1 + 7/100) = 955 × 1.07 = 1021.85.\n</reasoning>\nFinal Answer: 1021.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -6 = -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 18x = -162. Divide by 18: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-13)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -13² - 4×1×30 = 49. √discriminant = 7. x = (-(-13) ± 7) / (2×1). Solutions: x = 10 or x = 3.\n</reasoning>\nFinal Answer: x = 10 or x = 3"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [8, 13, 15, 17] and B = [1, 4, 8, 13, 14, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 13, 17].\n</reasoning>\nFinal Answer: [8, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 1 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 5+1-19=-13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:5 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/5, so B = A × (5/6) = 77 × 5/6 = 64.1667.\n</reasoning>\nFinal Answer: 64.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 69 = 3415.5.\n</reasoning>\nFinal Answer: 3415.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-16)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×1×60 = 16. √discriminant = 4. x = (-(-16) ± 4) / (2×1). Solutions: x = 6 or x = 10.\n</reasoning>\nFinal Answer: x = 6 or x = 10"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [62, 23, 13, 8, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 13, 23, 32, 62]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/9) ÷ (19/16) = (5/9) × (16/19) = 80/171.\n</reasoning>\nFinal Answer: 80/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 112 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n112 = 2 × 56, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
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