messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+28) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 13, 14, 15] and B = [1, 8, 9, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 8, 9, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [1, 4, 5, 8, 9, 13, 14, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 9 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 13+81-23=71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 88 apples and buys 151 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 88 + 151 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 85 = 1360.0.\n</reasoning>\nFinal Answer: 1360.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 14, 15] and B = [3, 5, 13, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 7, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, 5, 7, 13, 14, 15, 16]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 100, 35, 77, 43, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 333/6 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 29 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 37+841-42=836.\n</reasoning>\nFinal Answer: 836"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 35 = 2695.\n</reasoning>\nFinal Answer: 2695"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 6 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 4/60 = 6.0667 hours. Distance = speed × time = 146 × 6.0667 = 885.7333 km.\n</reasoning>\nFinal Answer: 885.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 71 = 2804.5.\n</reasoning>\nFinal Answer: 2804.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 20 * 29 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×29=580, then 22+580-1=601.\n</reasoning>\nFinal Answer: 601"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 92, 58, 26, 53, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 92: 1, 58: 1, 26: 1, 53: 1, 11: 1}. Most frequent: [66, 92, 58, 26, 53, 11].\n</reasoning>\nFinal Answer: [66, 92, 58, 26, 53, 11]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 45) * (41 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+45)=61, (41-22)=19, then 61×19=1159.\n</reasoning>\nFinal Answer: 1159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 58 = 2146.\n</reasoning>\nFinal Answer: 2146"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:20 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/20, so B = A × (20/3) = 61 × 20/3 = 406.6667.\n</reasoning>\nFinal Answer: 406.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 21 * 20 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×20=420, then 29+420-20=429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 + 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/9 + 2/20. Common denominator = 10. Result = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "168 is what percentage of 697?"
},
{
"role": "assistant",
"content": "<reasoning>\n(168/697) × 100 = 24.1033%.\n</reasoning>\nFinal Answer: 24.1033%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 699 mod -103"
},
{
"role": "assistant",
"content": "<reasoning>\n699 mod -103: 699 = -103 × -7 + -22, so remainder = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 897 mod 372"
},
{
"role": "assistant",
"content": "<reasoning>\n897 mod 372: 897 = 372 × 2 + 153, so remainder = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 10/17. Common denominator = 34. Result = 71/34.\n</reasoning>\nFinal Answer: 71/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 65, 79, 78, 94, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/6 = 58.1667.\n</reasoning>\nFinal Answer: 58.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:36 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/36, so B = A × (36/27) = 3 × 36/27 = 4.0.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 48 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 1x = -18. Divide by 1: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 24) * (35 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+24)=41, (35-31)=4, then 41×4=164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 85 = 7395.\n</reasoning>\nFinal Answer: 7395"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -501 - 57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 57 from -501: -501 - 57 = -558.\n</reasoning>\nFinal Answer: -558"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 24 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+24) × 13 = 318.5.\n</reasoning>\nFinal Answer: 318.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 9, 3, 22, 85, 48, 92, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 379/8 = 47.375.\n</reasoning>\nFinal Answer: 47.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 + 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/6 + 14/1. Common denominator = 6. Result = 101/6.\n</reasoning>\nFinal Answer: 101/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4568. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4568 × 28/100 = 1279.04. Total = 4568 + 1279.04 = 5847.04.\n</reasoning>\nFinal Answer: 5847.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 75 = 6375.\n</reasoning>\nFinal Answer: 6375"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 44, 65, 96, 89, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 459/6 = 76.5.\n</reasoning>\nFinal Answer: 76.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 54 = 5022.\n</reasoning>\nFinal Answer: 5022"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 126 km apart. Their speeds are 113 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+44=157 km/h. Time = 126/157 = 0.8025 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 811 × -484"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 811 by -484: 811 × -484 = -392524.\n</reasoning>\nFinal Answer: -392524"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 - 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/11 - 17/8. LCD = 88. Result = -91/88.\n</reasoning>\nFinal Answer: -91/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 176 apples and buys 153 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 176 + 153 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 6, 34, 88, 64, 80, 13, 65, 15, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 392/10 = 39.2.\n</reasoning>\nFinal Answer: 39.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 190 and 198."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(190,198) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 453 mod -208"
},
{
"role": "assistant",
"content": "<reasoning>\n453 mod -208: 453 = -208 × -3 + -171, so remainder = -171.\n</reasoning>\nFinal Answer: -171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 39) * (15 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+39)=49, (15-3)=12, then 49×12=588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -400 ÷ -418"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -400 by -418. -400 ÷ -418 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -620 - -962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -962 from -620: -620 - -962 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 - 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/12 - 11/9. LCD = 36. Result = -41/36.\n</reasoning>\nFinal Answer: -41/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1557. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1557 × 18/100 = 280.26. Total = 1557 + 280.26 = 1837.26.\n</reasoning>\nFinal Answer: 1837.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:27 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/27, so B = A × (27/40) = 43 × 27/40 = 29.025.\n</reasoning>\nFinal Answer: 29.025"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "233 is what percentage of 499?"
},
{
"role": "assistant",
"content": "<reasoning>\n(233/499) × 100 = 46.6934%.\n</reasoning>\nFinal Answer: 46.6934%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 6 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 16/60 = 6.2667 hours. Distance = speed × time = 136 × 6.2667 = 852.2667 km.\n</reasoning>\nFinal Answer: 852.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 362 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 362 × (1 - 60/100) = 362 × 0.4 = 144.8.\n</reasoning>\nFinal Answer: 144.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 70 = 3395.0.\n</reasoning>\nFinal Answer: 3395.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 * 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/12) × (15/20) = (240/240) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 12) * (5 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+12)=27, (5-46)=-41, then 27×-41=-1107.\n</reasoning>\nFinal Answer: -1107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -36 = 393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 11x = 429. Divide by 11: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:26 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/26, so B = A × (26/12) = 66 × 26/12 = 143.0.\n</reasoning>\nFinal Answer: 143.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 44 + 1 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×44=616 and 1×31=31, then add: 647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 * 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/14) × (14/1) = (98/14) = 7 after simplification.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -35 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 1x = -29. Divide by 1: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 665 × -639"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 665 by -639: 665 × -639 = -424935.\n</reasoning>\nFinal Answer: -424935"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 29, 47, 86, 64, 52, 48, 38, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 387/9 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 83 × -841"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 83 by -841: 83 × -841 = -69803.\n</reasoning>\nFinal Answer: -69803"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 741 mod 441"
},
{
"role": "assistant",
"content": "<reasoning>\n741 mod 441: 741 = 441 × 1 + 300, so remainder = 300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 28 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 28 = 112 worker-days. New time = 112 / 17 = 6.5882 days.\n</reasoning>\nFinal Answer: 6.5882"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+97) = 2×190 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 34, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 34 + 39 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 891 ÷ 586"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 891 by 586. 891 ÷ 586 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -13 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 2x = -20. Divide by 2: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31279 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31279 × 17 × 10 / 100 = 53174.3.\n</reasoning>\nFinal Answer: 53174.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 141 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 141 by -42. 141 ÷ -42 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 30 + 40 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×30=150 and 40×23=920, then add: 1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 25 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 25 × 64 = 800.0.\n</reasoning>\nFinal Answer: 800.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 90% of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 398 = (90/100) × 398 = 358.2.\n</reasoning>\nFinal Answer: 358.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 52, 56, 27, 60, 83, 91, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 52: 1, 56: 1, 27: 1, 60: 1, 83: 1, 91: 1, 86: 1}. Most frequent: [49, 52, 56, 27, 60, 83, 91, 86].\n</reasoning>\nFinal Answer: [49, 52,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:35 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/35, so B = A × (35/49) = 59 × 35/49 = 42.1429.\n</reasoning>\nFinal Answer: 42.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 10 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 7/60 = 10.1167 hours. Distance = speed × time = 92 × 10.1167 = 930.7333 km.\n</reasoning>\nFinal Answer: 930.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 - 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/14 - 5/2. LCD = 2. Result = -3/2.\n</reasoning>\nFinal Answer: -3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -930 - -809"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -809 from -930: -930 - -809 = -121.\n</reasoning>\nFinal Answer: -121"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4201. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4201 × 5/100 = 210.05. Total = 4201 + 210.05 = 4411.05.\n</reasoning>\nFinal Answer: 4411.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:2 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/2, so B = A × (2/45) = 12 × 2/45 = 0.5333.\n</reasoning>\nFinal Answer: 0.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 38 = -262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 10x = -300. Divide by 10: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -141 + -659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -141 and -659: -141 + -659 = -800.\n</reasoning>\nFinal Answer: -800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (19/8) = (228/48) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 162 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 162 × (1 + 25/100) = 162 × 1.25 = 202.5.\n</reasoning>\nFinal Answer: 202.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "204 is what percentage of 569?"
},
{
"role": "assistant",
"content": "<reasoning>\n(204/569) × 100 = 35.8524%.\n</reasoning>\nFinal Answer: 35.8524%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 82 = 6314.\n</reasoning>\nFinal Answer: 6314"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -37 = 962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 27x = 999. Divide by 27: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 395 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 395 × (1 + 25/100) = 395 × 1.25 = 493.75.\n</reasoning>\nFinal Answer: 493.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+60) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 * 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/2) × (9/11) = (45/22) = 45/22 after simplification.\n</reasoning>\nFinal Answer: 45/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 390 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 390 × (1 + 35/100) = 390 × 1.35 = 526.5.\n</reasoning>\nFinal Answer: 526.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -18 = -498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 30x = -480. Divide by 30: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 84 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 84 × 13 = 546.0.\n</reasoning>\nFinal Answer: 546.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 163 km/h. How far does it travel in 9 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 10/60 = 9.1667 hours. Distance = speed × time = 163 × 9.1667 = 1494.1667 km.\n</reasoning>\nFinal Answer: 1494.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 * 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/7) × (6/10) = (108/70) = 54/35 after simplification.\n</reasoning>\nFinal Answer: 54/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 49 = -56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 15x = -105. Divide by 15: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 87 = 2436.\n</reasoning>\nFinal Answer: 2436"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10, 11, 13, 15, 16, 17] and B = [1, 6, 7, 11, 12, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 10, 15, 16, 17].\n</reasoning>\nFinal Answer: [8, 10, 15, 16,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 6, 5, 31, 100, 43, 51, 5, 88, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 6: 1, 5: 2, 31: 1, 100: 1, 43: 1, 51: 1, 88: 1, 23: 1}. Most frequent: 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×38)/1 = 1710.\n</reasoning>\nFinal Answer: 1710"
}
] | medium | [
"number_theory",
"lcm"
] |
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