messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31007 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31007 × 10 × 4 / 100 = 12402.8.\n</reasoning>\nFinal Answer: 12402.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 1000?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 1000 = (30/100) × 1000 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 37 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 2x = -76. Divide by 2: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 591 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 591 × (1 + 17/100) = 591 × 1.17 = 691.47.\n</reasoning>\nFinal Answer: 691.47"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 207 km apart. Their speeds are 101 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+114=215 km/h. Time = 207/215 = 0.9628 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 44, 45, 95, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 28 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:20 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/20, so B = A × (20/3) = 87 × 20/3 = 580.0.\n</reasoning>\nFinal Answer: 580.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 * 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/16) × (14/12) = (210/192) = 35/32 after simplification.\n</reasoning>\nFinal Answer: 35/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 15) * (41 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+15)=19, (41-16)=25, then 19×25=475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 8 = 288.0.\n</reasoning>\nFinal Answer: 288.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+21) = 2×65 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:2 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/2, so B = A × (2/5) = 54 × 2/5 = 21.6.\n</reasoning>\nFinal Answer: 21.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 19 = -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 27x = -324. Divide by 27: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:9 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/9, so B = A × (9/34) = 44 × 9/34 = 11.6471.\n</reasoning>\nFinal Answer: 11.6471"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 31 = 263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 29x = 232. Divide by 29: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -635 × -502"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -635 by -502: -635 × -502 = 318770.\n</reasoning>\nFinal Answer: 318770"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 553 + 824"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 553 and 824: 553 + 824 = 1377.\n</reasoning>\nFinal Answer: 1377"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 7 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 27/60 = 7.4500 hours. Distance = speed × time = 185 × 7.4500 = 1378.25 km.\n</reasoning>\nFinal Answer: 1378.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -159 + -179"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -159 and -179: -159 + -179 = -338.\n</reasoning>\nFinal Answer: -338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1906. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1906 × 5/100 = 95.3. Total = 1906 + 95.3 = 2001.3.\n</reasoning>\nFinal Answer: 2001.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 6/14. LCD = 7. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 99, 83, 64, 49, 43, 88, 13, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 561/9 = 62.3333.\n</reasoning>\nFinal Answer: 62.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 10/19. LCD = 171. Result = -14/171.\n</reasoning>\nFinal Answer: -14/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 24 = 600"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 16x = 576. Divide by 16: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 6 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 21, 10, 10, 20, 29, 98, 51, 45, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 21: 1, 10: 2, 20: 1, 29: 1, 98: 1, 51: 1, 45: 1, 65: 1}. Most frequent: 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 182 × 1.8333 = 333.6667 km.\n</reasoning>\nFinal Answer: 333.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 16 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+16) × 18 = 369.0.\n</reasoning>\nFinal Answer: 369.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -338 mod 149"
},
{
"role": "assistant",
"content": "<reasoning>\n-338 mod 149: -338 = 149 × -3 + 109, so remainder = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 401 mod -451"
},
{
"role": "assistant",
"content": "<reasoning>\n401 mod -451: 401 = -451 × -1 + -50, so remainder = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = -520. Divide by 26: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 100, 99, 61, 100, 48, 84, 2, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 100: 2, 99: 1, 61: 1, 48: 1, 84: 1, 2: 1, 12: 1}. Most frequent: 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 10, 26, 59, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 13, 26, 59, 67]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -867 mod 113"
},
{
"role": "assistant",
"content": "<reasoning>\n-867 mod 113: -867 = 113 × -8 + 37, so remainder = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 50 + 22 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×50=650 and 22×48=1056, then add: 1706.\n</reasoning>\nFinal Answer: 1706"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 2, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (36-1)×2 = 50 + 70 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 42 = 1512.\n</reasoning>\nFinal Answer: 1512"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹506. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 506 × 28/100 = 141.68. Total = 506 + 141.68 = 647.68.\n</reasoning>\nFinal Answer: 647.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:32 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/32, so B = A × (32/34) = 99 × 32/34 = 93.1765.\n</reasoning>\nFinal Answer: 93.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 * 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/8) × (15/6) = (255/48) = 85/16 after simplification.\n</reasoning>\nFinal Answer: 85/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 52."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,52) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 975 mod 527"
},
{
"role": "assistant",
"content": "<reasoning>\n975 mod 527: 975 = 527 × 1 + 448, so remainder = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 - 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/6 - 9/6. LCD = 6. Result = -1/3.\n</reasoning>\nFinal Answer: -1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 99 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 99 × 94 = 9306.\n</reasoning>\nFinal Answer: 9306"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 4 * 9 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×9=36, then 18+36-19=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 * 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/6) × (13/1) = (182/6) = 91/3 after simplification.\n</reasoning>\nFinal Answer: 91/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 522 + 402"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 522 and 402: 522 + 402 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 70 = 2520.\n</reasoning>\nFinal Answer: 2520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 27 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 3x = -117. Divide by 3: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 5 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 12 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 58/60 = 12.9667 hours. Distance = speed × time = 152 × 12.9667 = 1970.9333 km.\n</reasoning>\nFinal Answer: 1970.9333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -12 + 276"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -12 and 276: -12 + 276 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -352 - -547"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -547 from -352: -352 - -547 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "173 is what percentage of 902?"
},
{
"role": "assistant",
"content": "<reasoning>\n(173/902) × 100 = 19.1796%.\n</reasoning>\nFinal Answer: 19.1796%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 16 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -28 - -438"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -438 from -28: -28 - -438 = 410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 7, 8, 13] and B = [2, 3, 4, 6, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7, 8].\n</reasoning>\nFinal Answer: [1, 7, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "303 is what percentage of 471?"
},
{
"role": "assistant",
"content": "<reasoning>\n(303/471) × 100 = 64.3312%.\n</reasoning>\nFinal Answer: 64.3312%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 94, 75, 39, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 39 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/18 + 1/15. Common denominator = 90. Result = 11/90.\n</reasoning>\nFinal Answer: 11/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 463 - -927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -927 from 463: 463 - -927 = 1390.\n</reasoning>\nFinal Answer: 1390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12059 at 15% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12059 × 15 × 1 / 100 = 1808.85.\n</reasoning>\nFinal Answer: 1808.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 16 * 45 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×45=720, then 48+720-48=720.\n</reasoning>\nFinal Answer: 720"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 / 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/11) ÷ (4/3) = (9/11) × (3/4) = 27/44.\n</reasoning>\nFinal Answer: 27/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 12, 14, 15, 16] and B = [1, 3, 4, 12, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 12, 14].\n</reasoning>\nFinal Answer: [1, 12, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = -11. Divide by 11: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 6 = 644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 22x = 638. Divide by 22: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -24 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 2x = 48. Divide by 2: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39854 at 10% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39854 × 10 × 8 / 100 = 31883.2.\n</reasoning>\nFinal Answer: 31883.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "64 is what percentage of 142?"
},
{
"role": "assistant",
"content": "<reasoning>\n(64/142) × 100 = 45.0704%.\n</reasoning>\nFinal Answer: 45.0704%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 4 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 1/60 = 4.0167 hours. Distance = speed × time = 106 × 4.0167 = 425.7667 km.\n</reasoning>\nFinal Answer: 425.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 31) * (3 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+31)=60, (3-37)=-34, then 60×-34=-2040.\n</reasoning>\nFinal Answer: -2040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 120 apples and buys 160 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 120 + 160 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 145."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,145) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 18, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (25-1)×18 = 44 + 432 = 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 1/1. Common denominator = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 29 = 2610.\n</reasoning>\nFinal Answer: 2610"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -23 = -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 21x = -126. Divide by 21: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 / 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/4) ÷ (8/2) = (9/4) × (2/8) = 9/16.\n</reasoning>\nFinal Answer: 9/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 14, 15, 18] and B = [2, 13, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 9, 15, 18].\n</reasoning>\nFinal Answer: [4, 6, 9, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 298 + -232"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 298 and -232: 298 + -232 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 4 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 36/60 = 4.6000 hours. Distance = speed × time = 64 × 4.6000 = 294.4 km.\n</reasoning>\nFinal Answer: 294.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -919 - -746"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -746 from -919: -919 - -746 = -173.\n</reasoning>\nFinal Answer: -173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 15, 63, 69, 46, 27, 62, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/8 = 44.375.\n</reasoning>\nFinal Answer: 44.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:7 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/7, so B = A × (7/34) = 57 × 7/34 = 11.7353.\n</reasoning>\nFinal Answer: 11.7353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (38-1)×4 = 49 + 148 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/7) × (10/7) = (140/49) = 20/7 after simplification.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -40 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 11x = -231. Divide by 11: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -673 ÷ 669"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -673 by 669. -673 ÷ 669 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 + 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/3 + 10/15. Common denominator = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 4 * 32 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×32=128, then 50+128-31=147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 18 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 27+324-8=343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:50 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/50, so B = A × (50/24) = 18 × 50/24 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/11 + 17/14. Common denominator = 154. Result = 271/154.\n</reasoning>\nFinal Answer: 271/154"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 541 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 541 × (1 - 20/100) = 541 × 0.8 = 432.8.\n</reasoning>\nFinal Answer: 432.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 53 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (11/16) = (110/272) = 55/136 after simplification.\n</reasoning>\nFinal Answer: 55/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:44 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/44, so B = A × (44/35) = 78 × 44/35 = 98.0571.\n</reasoning>\nFinal Answer: 98.0571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 684 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 684 × (1 + 10/100) = 684 × 1.1 = 752.4.\n</reasoning>\nFinal Answer: 752.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "584 is what percentage of 973?"
},
{
"role": "assistant",
"content": "<reasoning>\n(584/973) × 100 = 60.0206%.\n</reasoning>\nFinal Answer: 60.0206%"
}
] | medium | [
"percentage",
"ratio"
] |
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