messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 43 * 27 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×27=1161, then 25+1161-34=1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 492 km apart. Their speeds are 48 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+64=112 km/h. Time = 492/112 = 4.3929 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 6 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 793 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 793 × (1 - 30/100) = 793 × 0.7 = 555.1.\n</reasoning>\nFinal Answer: 555.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 1, 9, 42, 51, 22, 49, 50, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/9 = 29.7778.\n</reasoning>\nFinal Answer: 29.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 8 = -184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 12x = -192. Divide by 12: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:28 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/28, so B = A × (28/10) = 87 × 28/10 = 243.6.\n</reasoning>\nFinal Answer: 243.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 8 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 15/60 = 8.2500 hours. Distance = speed × time = 108 × 8.2500 = 891.0 km.\n</reasoning>\nFinal Answer: 891.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -688 mod 673"
},
{
"role": "assistant",
"content": "<reasoning>\n-688 mod 673: -688 = 673 × -2 + 658, so remainder = 658.\n</reasoning>\nFinal Answer: 658"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 687?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 687 = (45/100) × 687 = 309.15.\n</reasoning>\nFinal Answer: 309.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:45 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/45, so B = A × (45/4) = 20 × 45/4 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 712 km apart. Their speeds are 108 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+41=149 km/h. Time = 712/149 = 4.7785 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 11 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 11 = 22 worker-days. New time = 22 / 20 = 1.1 days.\n</reasoning>\nFinal Answer: 1.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 70 = 2590.\n</reasoning>\nFinal Answer: 2590"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -816 ÷ 192"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -816 by 192. -816 ÷ 192 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 88 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 5 + 36 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×5=240 and 36×20=720, then add: 960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -699 mod -899"
},
{
"role": "assistant",
"content": "<reasoning>\n-699 mod -899: -699 = -899 × 0 + -699, so remainder = -699.\n</reasoning>\nFinal Answer: -699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 - 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/5 - 3/14. LCD = 70. Result = 181/70.\n</reasoning>\nFinal Answer: 181/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 57 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(57,20) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 31 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+31) × 32 = 704.0.\n</reasoning>\nFinal Answer: 704.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/9 - 4/17. LCD = 17. Result = 30/17.\n</reasoning>\nFinal Answer: 30/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 3 * 49 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×49=147, then 30+147-38=139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 872 ÷ -527"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 872 by -527. 872 ÷ -527 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 / 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/1) ÷ (7/15) = (7/1) × (15/7) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 3 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 31/60 = 3.5167 hours. Distance = speed × time = 149 × 3.5167 = 523.9833 km.\n</reasoning>\nFinal Answer: 523.9833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 785 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 785 × (1 + 90/100) = 785 × 1.9 = 1491.5.\n</reasoning>\nFinal Answer: 1491.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 36, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 36 + 38 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -33 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 12x = 72. Divide by 12: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 13, and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 13 + 15 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 125 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 125 × (1 - 3/100) = 125 × 0.97 = 121.25.\n</reasoning>\nFinal Answer: 121.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2737. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2737 × 12/100 = 328.44. Total = 2737 + 328.44 = 3065.44.\n</reasoning>\nFinal Answer: 3065.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -965 + -736"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -965 and -736: -965 + -736 = -1701.\n</reasoning>\nFinal Answer: -1701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-14)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -14² - 4×2×12 = 100. √discriminant = 10. x = (-(-14) ± 10) / (2×2). Solutions: x = 1 or x = 6.\n</reasoning>\nFinal Answer: x = 1 or x = 6"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 / 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/11) ÷ (4/20) = (10/11) × (20/4) = 50/11.\n</reasoning>\nFinal Answer: 50/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -43 = 263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 18x = 306. Divide by 18: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -134 - -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from -134: -134 - -43 = -91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 + 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/11 + 8/5. Common denominator = 55. Result = 128/55.\n</reasoning>\nFinal Answer: 128/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 22 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 22 = 242 worker-days. New time = 242 / 13 = 18.6154 days.\n</reasoning>\nFinal Answer: 18.6154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:23 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/23, so B = A × (23/35) = 62 × 23/35 = 40.7429.\n</reasoning>\nFinal Answer: 40.7429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 152 × -361"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 152 by -361: 152 × -361 = -54872.\n</reasoning>\nFinal Answer: -54872"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 299 - -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -116 from 299: 299 - -116 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 255 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 255 × (1 - 25/100) = 255 × 0.75 = 191.25.\n</reasoning>\nFinal Answer: 191.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:3 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/3, so B = A × (3/46) = 51 × 3/46 = 3.3261.\n</reasoning>\nFinal Answer: 3.3261"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:35 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/35, so B = A × (35/42) = 35 × 35/42 = 29.1667.\n</reasoning>\nFinal Answer: 29.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 74, 7, 81, 19, 40, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 7 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/13 + 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/13 + 8/12. Common denominator = 39. Result = 53/39.\n</reasoning>\nFinal Answer: 53/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:23 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/23, so B = A × (23/22) = 38 × 23/22 = 39.7273.\n</reasoning>\nFinal Answer: 39.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 47 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 33+2209-5=2237.\n</reasoning>\nFinal Answer: 2237"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "315 is what percentage of 338?"
},
{
"role": "assistant",
"content": "<reasoning>\n(315/338) × 100 = 93.1953%.\n</reasoning>\nFinal Answer: 93.1953%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 9, 12, 13, 16] and B = [1, 4, 9, 11, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 6, 12, 13, 16].\n</reasoning>\nFinal Answer: [2, 6, 12, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 + 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/1 + 12/15. Common denominator = 5. Result = 44/5.\n</reasoning>\nFinal Answer: 44/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 + 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/17 + 9/2. Common denominator = 34. Result = 169/34.\n</reasoning>\nFinal Answer: 169/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -553 ÷ 576"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -553 by 576. -553 ÷ 576 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -547 × 435"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -547 by 435: -547 × 435 = -237945.\n</reasoning>\nFinal Answer: -237945"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 9, 10, 14, 17, 18, 19] and B = [4, 5, 8, 11, 15, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18, 19].\n</reasoning>\nFinal Answer: [18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "337 is what percentage of 641?"
},
{
"role": "assistant",
"content": "<reasoning>\n(337/641) × 100 = 52.5741%.\n</reasoning>\nFinal Answer: 52.5741%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 13, 14, 16, 17] and B = [3, 4, 5, 8, 10, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 16, 17].\n</reasoning>\nFinal Answer: [3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 45 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 2x = 80. Divide by 2: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 33, 25, 56, 21, 69, 60, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 21 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 34, 78, 12, 27, 67, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 12 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 9, 12, 18] and B = [2, 4, 10, 12, 15, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 8, 9, 10, 12, 15, 16, 18].\n</reasoning>\nFinal Answer: [2, 4, 8, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (12/9) = (240/90) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 757 mod 307"
},
{
"role": "assistant",
"content": "<reasoning>\n757 mod 307: 757 = 307 × 2 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 81, 3, 94, 61, 93, 60, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 490/8 = 61.25.\n</reasoning>\nFinal Answer: 61.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 13, 16, 17, 19] and B = [3, 4, 8, 10, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 6, 13, 16, 17].\n</reasoning>\nFinal Answer: [1, 5, 6, 13, 16, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -748 ÷ -517"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -748 by -517. -748 ÷ -517 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "126 is what percentage of 378?"
},
{
"role": "assistant",
"content": "<reasoning>\n(126/378) × 100 = 33.3333%.\n</reasoning>\nFinal Answer: 33.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 14, 23, 13, 78, 69, 37, 88, 26, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 13 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (2)x + (-112) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×2×-112 = 900. √discriminant = 30. x = (-(2) ± 30) / (2×2). Solutions: x = 7 or x = -8.\n</reasoning>\nFinal Answer: x = 7 or x = -8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 44 = 1276.\n</reasoning>\nFinal Answer: 1276"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×41)/1 = 820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 469 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 469 × (1 + 25/100) = 469 × 1.25 = 586.25.\n</reasoning>\nFinal Answer: 586.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 280 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 280 × (1 - 12/100) = 280 × 0.88 = 246.4.\n</reasoning>\nFinal Answer: 246.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 46, 53, 45, 60, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 1 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 20, 40, 80, 160]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 10 and ratio 2. Next term = 160 × 2 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "101 is what percentage of 194?"
},
{
"role": "assistant",
"content": "<reasoning>\n(101/194) × 100 = 52.0619%.\n</reasoning>\nFinal Answer: 52.0619%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9841 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9841 × 1 × 7 / 100 = 688.87.\n</reasoning>\nFinal Answer: 688.87"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 889 - 878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 878 from 889: 889 - 878 = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -2 = 997"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 27x = 999. Divide by 27: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 13, 16] and B = [4, 5, 7, 9, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 62 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -32 = -714"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 22x = -682. Divide by 22: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 7 = 381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 22x = 374. Divide by 22: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 525 ÷ 719"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 525 by 719. 525 ÷ 719 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 18 * 9 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×9=162, then 26+162-40=148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 62 and 164."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(62,164) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46729 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46729 × 20 × 6 / 100 = 56074.8.\n</reasoning>\nFinal Answer: 56074.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -719 + -265"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -719 and -265: -719 + -265 = -984.\n</reasoning>\nFinal Answer: -984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 482 - -252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -252 from 482: 482 - -252 = 734.\n</reasoning>\nFinal Answer: 734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 6 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(6+96) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 3) * (23 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+3)=47, (23-41)=-18, then 47×-18=-846.\n</reasoning>\nFinal Answer: -846"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 45 = -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 18x = -270. Divide by 18: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate: 8^4"
},
{
"role": "assistant",
"content": "<reasoning>\n8^4 = 8 × 8 × 8 × 8 = 4096.\n</reasoning>\nFinal Answer: 4096"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 46 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(46,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 297 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 297 × (1 - 50/100) = 297 × 0.5 = 148.5.\n</reasoning>\nFinal Answer: 148.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 467 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 467 × (1 + 25/100) = 467 × 1.25 = 583.75.\n</reasoning>\nFinal Answer: 583.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 121?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 121 = (12/100) × 121 = 14.52.\n</reasoning>\nFinal Answer: 14.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 149."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 149 by smallest primes repeatedly: 149 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "What is 50% of 712?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 712 = (50/100) × 712 = 356.0.\n</reasoning>\nFinal Answer: 356.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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