messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -735 + -770"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -735 and -770: -735 + -770 = -1505.\n</reasoning>\nFinal Answer: -1505"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 2 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 20/60 = 2.3333 hours. Distance = speed × time = 64 × 2.3333 = 149.3333 km.\n</reasoning>\nFinal Answer: 149.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -28 = 448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 17x = 476. Divide by 17: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 19 * 6 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×6=114, then 7+114-47=74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 67, 55, 15, 48, 26, 91, 51, 32, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 26, 32, 48, 51, 55, 67, 74, 91, 93]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:8 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/8, so B = A × (8/30) = 27 × 8/30 = 7.2.\n</reasoning>\nFinal Answer: 7.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "91 is what percentage of 576?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/576) × 100 = 15.7986%.\n</reasoning>\nFinal Answer: 15.7986%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -13 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 8x = -96. Divide by 8: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 985 - -884"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -884 from 985: 985 - -884 = 1869.\n</reasoning>\nFinal Answer: 1869"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 721 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 721 × (1 + 65/100) = 721 × 1.65 = 1189.65.\n</reasoning>\nFinal Answer: 1189.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 26 = 169.0.\n</reasoning>\nFinal Answer: 169.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:22 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/22, so B = A × (22/36) = 64 × 22/36 = 39.1111.\n</reasoning>\nFinal Answer: 39.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 497 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 497 × (1 + 40/100) = 497 × 1.4 = 695.8.\n</reasoning>\nFinal Answer: 695.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 18 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 18 = 324 worker-days. New time = 324 / 20 = 16.2 days.\n</reasoning>\nFinal Answer: 16.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 46 = 4554.\n</reasoning>\nFinal Answer: 4554"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 357 km apart. Their speeds are 102 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+51=153 km/h. Time = 357/153 = 2.3333 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 11 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 11 = 132 worker-days. New time = 132 / 3 = 44.0 days.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "808 is what percentage of 891?"
},
{
"role": "assistant",
"content": "<reasoning>\n(808/891) × 100 = 90.6846%.\n</reasoning>\nFinal Answer: 90.6846%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:10 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/10, so B = A × (10/30) = 14 × 10/30 = 4.6667.\n</reasoning>\nFinal Answer: 4.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 19 = -413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 12x = -432. Divide by 12: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39370 at 14% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39370 × 14 × 3 / 100 = 16535.4.\n</reasoning>\nFinal Answer: 16535.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 5, 89, 58, 68, 95, 91, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 5: 1, 89: 1, 58: 1, 68: 1, 95: 1, 91: 1, 44: 1}. Most frequent: [60, 5, 89, 58, 68, 95, 91, 44].\n</reasoning>\nFinal Answer: [60, 5, 89,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -34 = -634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 20x = -600. Divide by 20: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 63 = 1291.5.\n</reasoning>\nFinal Answer: 1291.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 10 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 2/60 = 10.0333 hours. Distance = speed × time = 56 × 10.0333 = 561.8667 km.\n</reasoning>\nFinal Answer: 561.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×27)/1 = 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 13 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 13x = -65. Divide by 13: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹519. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 519 × 28/100 = 145.32. Total = 519 + 145.32 = 664.32.\n</reasoning>\nFinal Answer: 664.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 70, 79, 51, 76, 12, 89, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 12 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 622 × 785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 622 by 785: 622 × 785 = 488270.\n</reasoning>\nFinal Answer: 488270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -22 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 1x = 36. Divide by 1: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 95, 69, 13, 44, 67, 31, 38, 48, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 31, 38, 44, 48, 67, 69, 69, 89, 95]. Middle value(s) → median = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 9, 11, 13, 15, 18] and B = [2, 5, 6, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 37 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+37) × 12 = 228.0.\n</reasoning>\nFinal Answer: 228.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 40 = 210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 5x = 170. Divide by 5: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 958 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 958 × (1 - 30/100) = 958 × 0.7 = 670.6.\n</reasoning>\nFinal Answer: 670.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43879 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43879 × 3 × 5 / 100 = 6581.85.\n</reasoning>\nFinal Answer: 6581.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 12, 16, 73, 54, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 12 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×17)/1 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-8)x + (-64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×2×-64 = 576. √discriminant = 24. x = (-(-8) ± 24) / (2×2). Solutions: x = -4 or x = 8.\n</reasoning>\nFinal Answer: x = -4 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 852 km apart. Their speeds are 67 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+49=116 km/h. Time = 852/116 = 7.3448 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 38 + 29 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×38=1140 and 29×46=1334, then add: 2474.\n</reasoning>\nFinal Answer: 2474"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 45 = 645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 12x = 600. Divide by 12: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -34 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 1x = -25. Divide by 1: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 10 + 23 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×10=450 and 23×40=920, then add: 1370.\n</reasoning>\nFinal Answer: 1370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47591 at 10% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47591 × 10 × 5 / 100 = 23795.5.\n</reasoning>\nFinal Answer: 23795.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 49) * (31 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+49)=94, (31-50)=-19, then 94×-19=-1786.\n</reasoning>\nFinal Answer: -1786"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 49 * 33 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×33=1617, then 26+1617-9=1634.\n</reasoning>\nFinal Answer: 1634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 16 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -44 = -671"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 19x = -627. Divide by 19: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 2 + 10 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×2=30 and 10×11=110, then add: 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 827 mod -293"
},
{
"role": "assistant",
"content": "<reasoning>\n827 mod -293: 827 = -293 × -3 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:50 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/50, so B = A × (50/39) = 78 × 50/39 = 100.0.\n</reasoning>\nFinal Answer: 100.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 24 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 60, 66, 98, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 60 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 11, 16] and B = [9, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 16].\n</reasoning>\nFinal Answer: [3, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 918 + 413"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 918 and 413: 918 + 413 = 1331.\n</reasoning>\nFinal Answer: 1331"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4223. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4223 × 18/100 = 760.14. Total = 4223 + 760.14 = 4983.14.\n</reasoning>\nFinal Answer: 4983.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×44)/2 = 748.\n</reasoning>\nFinal Answer: 748"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹4434. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4434 × 12/100 = 532.08. Total = 4434 + 532.08 = 4966.08.\n</reasoning>\nFinal Answer: 4966.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 325 + -104"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 325 and -104: 325 + -104 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 605 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 605 × (1 + 3/100) = 605 × 1.03 = 623.15.\n</reasoning>\nFinal Answer: 623.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 60, 23, 62, 52, 88, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 23 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 100% of 511?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 511 = (100/100) × 511 = 511.0.\n</reasoning>\nFinal Answer: 511.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 25 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(25+71) = 2×96 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 344 × 91"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 344 by 91: 344 × 91 = 31304.\n</reasoning>\nFinal Answer: 31304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -41 = -1315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 26x = -1274. Divide by 26: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -77 × 99"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -77 by 99: -77 × 99 = -7623.\n</reasoning>\nFinal Answer: -7623"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 91, 99, 14, 28, 21, 98, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 21, 28, 29, 91, 98, 99, 100]. Middle value(s) → median = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -34 = -1126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 28x = -1092. Divide by 28: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 56, 18, 82, 19, 72, 79, 77, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 56: 1, 18: 1, 82: 1, 19: 1, 72: 1, 79: 1, 77: 1, 60: 1}. Most frequent: [41, 56, 18, 82, 19, 72, 79, 77, 60].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 39 = 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 10x = 260. Divide by 10: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 25, 71, 70, 49, 78, 98, 33, 47, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 25: 1, 71: 1, 70: 1, 49: 1, 78: 1, 98: 1, 33: 1, 47: 1, 90: 1}. Most frequent: [83, 25, 71, 70, 49, 78, 98, 33, 47, 90].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 20 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 32+400-4=428.\n</reasoning>\nFinal Answer: 428"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 35, 97, 53, 50, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 35 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 241 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 241 × (1 - 75/100) = 241 × 0.25 = 60.25.\n</reasoning>\nFinal Answer: 60.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 35 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+35) × 12 = 348.0.\n</reasoning>\nFinal Answer: 348.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 35% of 352?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 352 = (35/100) × 352 = 123.2.\n</reasoning>\nFinal Answer: 123.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 39 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 11+1521-31=1501.\n</reasoning>\nFinal Answer: 1501"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 565?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 565 = (12/100) × 565 = 67.8.\n</reasoning>\nFinal Answer: 67.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+7) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 5% of 770?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 770 = (5/100) × 770 = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 983 + 401"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 983 and 401: 983 + 401 = 1384.\n</reasoning>\nFinal Answer: 1384"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 24) * (41 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+24)=54, (41-25)=16, then 54×16=864.\n</reasoning>\nFinal Answer: 864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -47 = -175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 111 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 111 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 402 × 365"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 402 by 365: 402 × 365 = 146730.\n</reasoning>\nFinal Answer: 146730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 26, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 26 + 34 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 4 + 4 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×4=112 and 4×16=64, then add: 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1070. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1070 × 28/100 = 299.6. Total = 1070 + 299.6 = 1369.6.\n</reasoning>\nFinal Answer: 1369.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 * 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/2) × (7/7) = (77/14) = 11/2 after simplification.\n</reasoning>\nFinal Answer: 11/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 30 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 49+900-31=918.\n</reasoning>\nFinal Answer: 918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -28 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 3x = 57. Divide by 3: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 12 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 54/60 = 12.9000 hours. Distance = speed × time = 105 × 12.9000 = 1354.5 km.\n</reasoning>\nFinal Answer: 1354.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 41 = 374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 9x = 333. Divide by 9: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:45 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/45, so B = A × (45/29) = 22 × 45/29 = 34.1379.\n</reasoning>\nFinal Answer: 34.1379"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 5 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 5 = 70 worker-days. New time = 70 / 19 = 3.6842 days.\n</reasoning>\nFinal Answer: 3.6842"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 52, 74, 43, 47, 70, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 17 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:13 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/13, so B = A × (13/32) = 23 × 13/32 = 9.3438.\n</reasoning>\nFinal Answer: 9.3438"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 - 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/16 - 14/11. LCD = 44. Result = -45/44.\n</reasoning>\nFinal Answer: -45/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
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