messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 9, 10] and B = [1, 5, 6, 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, 9, 10, 12, 16, 17, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 16 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 16 × 12 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 14 * 12 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×12=168, then 36+168-41=163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:46 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/46, so B = A × (46/48) = 95 × 46/48 = 91.0417.\n</reasoning>\nFinal Answer: 91.0417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 41, 43, 45, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 2. Next term = 47 + 2 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/9) × (12/7) = (72/63) = 8/7 after simplification.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "279 is what percentage of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n(279/372) × 100 = 75.0%.\n</reasoning>\nFinal Answer: 75.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 720 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 720 × (1 + 70/100) = 720 × 1.7 = 1224.0.\n</reasoning>\nFinal Answer: 1224.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -45 = 580"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 25x = 625. Divide by 25: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 - 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/14 - 17/2. LCD = 14. Result = -52/7.\n</reasoning>\nFinal Answer: -52/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 563 mod 601"
},
{
"role": "assistant",
"content": "<reasoning>\n563 mod 601: 563 = 601 × 0 + 563, so remainder = 563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -150 mod -180"
},
{
"role": "assistant",
"content": "<reasoning>\n-150 mod -180: -150 = -180 × 0 + -150, so remainder = -150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:47 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/47, so B = A × (47/24) = 74 × 47/24 = 144.9167.\n</reasoning>\nFinal Answer: 144.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 80% of 998?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 998 = (80/100) × 998 = 798.4.\n</reasoning>\nFinal Answer: 798.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 230 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 230 × (1 + 3/100) = 230 × 1.03 = 236.9.\n</reasoning>\nFinal Answer: 236.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 4, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (20-1)×4 = 37 + 76 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 32 = 296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 12x = 264. Divide by 12: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 5% of 158?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 158 = (5/100) × 158 = 7.9.\n</reasoning>\nFinal Answer: 7.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 + 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/13 + 3/5. Common denominator = 65. Result = 139/65.\n</reasoning>\nFinal Answer: 139/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -400 + -990"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -400 and -990: -400 + -990 = -1390.\n</reasoning>\nFinal Answer: -1390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1288. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1288 × 12/100 = 154.56. Total = 1288 + 154.56 = 1442.56.\n</reasoning>\nFinal Answer: 1442.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -46 = 448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 13x = 494. Divide by 13: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 + 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/9 + 16/3. Common denominator = 3. Result = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 26 * 48 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×48=1248, then 14+1248-4=1258.\n</reasoning>\nFinal Answer: 1258"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 183 ÷ -994"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 183 by -994. 183 ÷ -994 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 16, 89, 36, 95, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 16: 1, 89: 1, 36: 1, 95: 1, 7: 1}. Most frequent: [22, 16, 89, 36, 95, 7].\n</reasoning>\nFinal Answer: [22, 16, 89, 36, 95, 7]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 / 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/11) ÷ (18/20) = (2/11) × (20/18) = 20/99.\n</reasoning>\nFinal Answer: 20/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3612. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3612 × 12/100 = 433.44. Total = 3612 + 433.44 = 4045.44.\n</reasoning>\nFinal Answer: 4045.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 29, 41, 43, 100, 53, 82, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 33, 41, 43, 53, 82, 88, 100]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 + 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/17 + 3/16. Common denominator = 272. Result = 275/272.\n</reasoning>\nFinal Answer: 275/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 31 * 19 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×19=589, then 23+589-33=579.\n</reasoning>\nFinal Answer: 579"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 941 × -81"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 941 by -81: 941 × -81 = -76221.\n</reasoning>\nFinal Answer: -76221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/8) ÷ (16/5) = (15/8) × (5/16) = 75/128.\n</reasoning>\nFinal Answer: 75/128"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:27 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/27, so B = A × (27/11) = 83 × 27/11 = 203.7273.\n</reasoning>\nFinal Answer: 203.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 779 - -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -208 from 779: 779 - -208 = 987.\n</reasoning>\nFinal Answer: 987"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 - 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/15 - 4/14. LCD = 35. Result = 18/35.\n</reasoning>\nFinal Answer: 18/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27723 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27723 × 1 × 8 / 100 = 2217.84.\n</reasoning>\nFinal Answer: 2217.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "237 is what percentage of 741?"
},
{
"role": "assistant",
"content": "<reasoning>\n(237/741) × 100 = 31.9838%.\n</reasoning>\nFinal Answer: 31.9838%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 + 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/14 + 11/4. Common denominator = 4. Result = 13/4.\n</reasoning>\nFinal Answer: 13/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:28 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/28, so B = A × (28/20) = 8 × 28/20 = 11.2.\n</reasoning>\nFinal Answer: 11.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+41) = 2×122 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 11, 3, 22, 4, 9, 97, 88, 1, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 91 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 91 × 47 = 2138.5.\n</reasoning>\nFinal Answer: 2138.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹318. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 318 × 28/100 = 89.04. Total = 318 + 89.04 = 407.04.\n</reasoning>\nFinal Answer: 407.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 83, 5, 78, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 42, 78, 83, 85]. Middle value(s) → median = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 11 = -729"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 20x = -740. Divide by 20: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 926?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 926 = (80/100) × 926 = 740.8.\n</reasoning>\nFinal Answer: 740.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -990 mod -8"
},
{
"role": "assistant",
"content": "<reasoning>\n-990 mod -8: -990 = -8 × 123 + -6, so remainder = -6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1642 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1642 × 14 × 9 / 100 = 2068.92.\n</reasoning>\nFinal Answer: 2068.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29911 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29911 × 20 × 7 / 100 = 41875.4.\n</reasoning>\nFinal Answer: 41875.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 3 = 1155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 24x = 1152. Divide by 24: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 9, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (36-1)×9 = 6 + 315 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "436 is what percentage of 514?"
},
{
"role": "assistant",
"content": "<reasoning>\n(436/514) × 100 = 84.8249%.\n</reasoning>\nFinal Answer: 84.8249%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Is 22 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n22 = 2 × 11, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "An item costs ₹828. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 828 × 28/100 = 231.84. Total = 828 + 231.84 = 1059.84.\n</reasoning>\nFinal Answer: 1059.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 680 km apart. Their speeds are 75 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+40=115 km/h. Time = 680/115 = 5.913 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 40, 27, 66, 74, 36, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 14 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 18 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 3x = -123. Divide by 3: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 35 + 2 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×35=1225 and 2×46=92, then add: 1317.\n</reasoning>\nFinal Answer: 1317"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 42 * 11 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×11=462, then 21+462-38=445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 83 = 1079.\n</reasoning>\nFinal Answer: 1079"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 20 = 1280.\n</reasoning>\nFinal Answer: 1280"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 60, 60, 40, 92, 7, 15, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 7 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 11 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 44+121-41=124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×15)/3 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 100% of 577?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 577 = (100/100) × 577 = 577.0.\n</reasoning>\nFinal Answer: 577.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 803 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 803 × (1 - 45/100) = 803 × 0.55 = 441.65.\n</reasoning>\nFinal Answer: 441.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 27 + 49 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×27=378 and 49×47=2303, then add: 2681.\n</reasoning>\nFinal Answer: 2681"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -6 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 16x = 80. Divide by 16: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 60, 69, 29, 24, 30, 21, 37, 47, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 423/10 = 42.3.\n</reasoning>\nFinal Answer: 42.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 21, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 21 + 23 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 644 + -168"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 644 and -168: 644 + -168 = 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 181 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 181 × (1 + 35/100) = 181 × 1.35 = 244.35.\n</reasoning>\nFinal Answer: 244.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 7 + 35 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×7=252 and 35×7=245, then add: 497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 264 km apart. Their speeds are 109 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+44=153 km/h. Time = 264/153 = 1.7255 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 41, 29, 97, 84, 78, 69, 77, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 41: 1, 29: 1, 97: 1, 84: 1, 78: 1, 69: 1, 77: 1, 18: 1}. Most frequent: [24, 41, 29, 97, 84, 78, 69, 77, 18].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 859 mod -746"
},
{
"role": "assistant",
"content": "<reasoning>\n859 mod -746: 859 = -746 × -2 + -633, so remainder = -633.\n</reasoning>\nFinal Answer: -633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 14 = 464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 30x = 450. Divide by 30: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 573 mod -913"
},
{
"role": "assistant",
"content": "<reasoning>\n573 mod -913: 573 = -913 × -1 + -340, so remainder = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 6, 12, 18] and B = [5, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 6, 12, 14, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 5, 6, 12, 14, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = 234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = 198. Divide by 9: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/16) × (5/1) = (25/16) = 25/16 after simplification.\n</reasoning>\nFinal Answer: 25/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -12 + 5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -12 and 5: -12 + 5 = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 23 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 23 × 95 = 2185.\n</reasoning>\nFinal Answer: 2185"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/2 - 4/17. LCD = 34. Result = 213/34.\n</reasoning>\nFinal Answer: 213/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 2, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (14-1)×2 = 18 + 26 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 10, 11, 13, 15] and B = [2, 6, 9, 18], 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": "Ravi has 142 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 155 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -37 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 3x = 132. Divide by 3: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -6 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 26x = 104. Divide by 26: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹346. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 346 × 12/100 = 41.52. Total = 346 + 41.52 = 387.52.\n</reasoning>\nFinal Answer: 387.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 87, 13, 81, 88, 75, 95, 36, 6, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 644/10 = 64.4.\n</reasoning>\nFinal Answer: 64.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 / 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/17) ÷ (9/7) = (19/17) × (7/9) = 133/153.\n</reasoning>\nFinal Answer: 133/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 49, 41, 74, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 49: 1, 41: 1, 74: 1, 63: 1}. Most frequent: [6, 49, 41, 74, 63].\n</reasoning>\nFinal Answer: [6, 49, 41, 74, 63]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "751 is what percentage of 762?"
},
{
"role": "assistant",
"content": "<reasoning>\n(751/762) × 100 = 98.5564%.\n</reasoning>\nFinal Answer: 98.5564%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -9 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 23x = 115. Divide by 23: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 11 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 4x = -120. Divide by 4: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 493 ÷ -974"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 493 by -974. 493 ÷ -974 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 319 + 935"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 319 and 935: 319 + 935 = 1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 87, 47, 49, 47, 35, 74, 72, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 487/9 = 54.1111.\n</reasoning>\nFinal Answer: 54.1111"
}
] | easy | [
"statistics",
"mean"
] |
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