messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3381 at 8% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3381 × 8 × 6 / 100 = 1622.88.\n</reasoning>\nFinal Answer: 1622.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 0 = -126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 7x = -126. Divide by 7: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+10) = 2×24 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:49 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/49, so B = A × (49/8) = 7 × 49/8 = 42.875.\n</reasoning>\nFinal Answer: 42.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 25, 15, 38, 91, 6, 29, 51, 91, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 25, 29, 38, 48, 51, 65, 91, 91]. Middle value(s) → median = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -221 × -225"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -221 by -225: -221 × -225 = 49725.\n</reasoning>\nFinal Answer: 49725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 489 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 489 × (1 - 20/100) = 489 × 0.8 = 391.2.\n</reasoning>\nFinal Answer: 391.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 608 = (35/100) × 608 = 212.8.\n</reasoning>\nFinal Answer: 212.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 15, 13, 76, 56, 24, 26, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 15, 18, 24, 26, 51, 56, 76]. Middle value(s) → median = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 129 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 129 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 80% of 156?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 156 = (80/100) × 156 = 124.8.\n</reasoning>\nFinal Answer: 124.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -186 × -127"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -186 by -127: -186 × -127 = 23622.\n</reasoning>\nFinal Answer: 23622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/20 - 12/13. LCD = 65. Result = -47/65.\n</reasoning>\nFinal Answer: -47/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24383 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24383 × 7 × 7 / 100 = 11947.67.\n</reasoning>\nFinal Answer: 11947.67"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 44) * (20 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+44)=70, (20-28)=-8, then 70×-8=-560.\n</reasoning>\nFinal Answer: -560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 78, 36, 100, 24, 29, 35, 47, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 21, 24, 29, 35, 36, 47, 78, 100]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 92, 12, 50, 65, 10, 38, 42, 99, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 10 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 7 = -487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 13x = -494. Divide by 13: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 102 apples and buys 179 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 102 + 179 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 40) * (34 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+40)=83, (34-22)=12, then 83×12=996.\n</reasoning>\nFinal Answer: 996"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "207 is what percentage of 533?"
},
{
"role": "assistant",
"content": "<reasoning>\n(207/533) × 100 = 38.8368%.\n</reasoning>\nFinal Answer: 38.8368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:9 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/9, so B = A × (9/45) = 66 × 9/45 = 13.2.\n</reasoning>\nFinal Answer: 13.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 10 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 59/60 = 10.9833 hours. Distance = speed × time = 93 × 10.9833 = 1021.45 km.\n</reasoning>\nFinal Answer: 1021.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 / 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/16) ÷ (13/11) = (12/16) × (11/13) = 33/52.\n</reasoning>\nFinal Answer: 33/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 3 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 18+9-42=-15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 317 + 579"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 317 and 579: 317 + 579 = 896.\n</reasoning>\nFinal Answer: 896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 13, 14, 15] and B = [3, 9, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 74, 98, 48, 19, 44, 7, 98, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 74: 1, 98: 2, 48: 1, 19: 1, 44: 1, 7: 1, 12: 1}. Most frequent: 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 4 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 49/60 = 4.8167 hours. Distance = speed × time = 146 × 4.8167 = 703.2333 km.\n</reasoning>\nFinal Answer: 703.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 271 × 787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 271 by 787: 271 × 787 = 213277.\n</reasoning>\nFinal Answer: 213277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 130 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 130 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 67 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 67 + 35 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -205 mod 473"
},
{
"role": "assistant",
"content": "<reasoning>\n-205 mod 473: -205 = 473 × -1 + 268, so remainder = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 34, 7, 63, 93, 25, 65, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 330/8 = 41.25.\n</reasoning>\nFinal Answer: 41.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -226 ÷ 633"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -226 by 633. -226 ÷ 633 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 33 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+33) × 43 = 1634.0.\n</reasoning>\nFinal Answer: 1634.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 47 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+47) × 46 = 2116.0.\n</reasoning>\nFinal Answer: 2116.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 22 * 38 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×38=836, then 27+836-33=830.\n</reasoning>\nFinal Answer: 830"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 - 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/18 - 1/4. LCD = 4. Result = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 12] and B = [12, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12].\n</reasoning>\nFinal Answer: [12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 194 and 80."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(194,80) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34807 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34807 × 10 × 3 / 100 = 10442.1.\n</reasoning>\nFinal Answer: 10442.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 21 + 45 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×21=945 and 45×1=45, then add: 990.\n</reasoning>\nFinal Answer: 990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:14 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/14, so B = A × (14/7) = 95 × 14/7 = 190.0.\n</reasoning>\nFinal Answer: 190.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 184 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(184,140) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47572 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47572 × 14 × 6 / 100 = 39960.48.\n</reasoning>\nFinal Answer: 39960.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -865 mod -71"
},
{
"role": "assistant",
"content": "<reasoning>\n-865 mod -71: -865 = -71 × 12 + -13, so remainder = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 77, 78, 41, 88, 16, 25, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 77: 1, 78: 1, 41: 1, 88: 1, 16: 1, 25: 1, 58: 1}. Most frequent: [45, 77, 78, 41, 88, 16, 25, 58].\n</reasoning>\nFinal Answer: [45, 77,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 515 km apart. Their speeds are 79 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+71=150 km/h. Time = 515/150 = 3.4333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 13, and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 13 + 14 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 27 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 28+729-44=713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -490 ÷ -20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -490 by -20. -490 ÷ -20 = 24 (integer division).\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 3 = -207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 15x = -210. Divide by 15: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹621. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 621 × 28/100 = 173.88. Total = 621 + 173.88 = 794.88.\n</reasoning>\nFinal Answer: 794.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 21 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 21 = 252 worker-days. New time = 252 / 15 = 16.8 days.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -269 - -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -202 from -269: -269 - -202 = -67.\n</reasoning>\nFinal Answer: -67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 653 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 653 × (1 - 80/100) = 653 × 0.19999999999999996 = 130.6.\n</reasoning>\nFinal Answer: 130.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 18 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 17x = -51. Divide by 17: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -994 × -584"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -994 by -584: -994 × -584 = 580496.\n</reasoning>\nFinal Answer: 580496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 722 × -194"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 722 by -194: 722 × -194 = -140068.\n</reasoning>\nFinal Answer: -140068"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 97 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(97,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 - 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/16 - 8/2. LCD = 8. Result = -29/8.\n</reasoning>\nFinal Answer: -29/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "51 is what percentage of 889?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/889) × 100 = 5.7368%.\n</reasoning>\nFinal Answer: 5.7368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 130 and 52."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(130,52) = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 36 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 39+1296-29=1306.\n</reasoning>\nFinal Answer: 1306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 21 + 30 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×21=420 and 30×5=150, then add: 570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -756 ÷ 338"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -756 by 338. -756 ÷ 338 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/8) ÷ (17/7) = (16/8) × (7/17) = 14/17.\n</reasoning>\nFinal Answer: 14/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 23 - -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -120 from 23: 23 - -120 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 71, 79, 39, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 293/5 = 58.6.\n</reasoning>\nFinal Answer: 58.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 11 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 41/60 = 11.6833 hours. Distance = speed × time = 84 × 11.6833 = 981.4 km.\n</reasoning>\nFinal Answer: 981.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = 52. Divide by 2: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×6)/1 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 41 * 20 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×20=820, then 48+820-44=824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:4 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/4, so B = A × (4/29) = 27 × 4/29 = 3.7241.\n</reasoning>\nFinal Answer: 3.7241"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:6 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/6, so B = A × (6/15) = 70 × 6/15 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (12/9) = (12/2) × (9/12) = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -543 - 231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 231 from -543: -543 - 231 = -774.\n</reasoning>\nFinal Answer: -774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 469 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 469 × (1 + 12/100) = 469 × 1.12 = 525.28.\n</reasoning>\nFinal Answer: 525.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 1 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+1) × 21 = 378.0.\n</reasoning>\nFinal Answer: 378.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:16 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/16, so B = A × (16/27) = 66 × 16/27 = 39.1111.\n</reasoning>\nFinal Answer: 39.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 26 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 6+676-15=667.\n</reasoning>\nFinal Answer: 667"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 493 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 493 × (1 - 100/100) = 493 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 57, 26, 40, 97, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 57: 1, 26: 1, 40: 1, 97: 1, 24: 1}. Most frequent: [58, 57, 26, 40, 97, 24].\n</reasoning>\nFinal Answer: [58, 57, 26, 40, 97, 24]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 16 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 50+256-40=266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -175 × 593"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -175 by 593: -175 × 593 = -103775.\n</reasoning>\nFinal Answer: -103775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -62 mod -889"
},
{
"role": "assistant",
"content": "<reasoning>\n-62 mod -889: -62 = -889 × 0 + -62, so remainder = -62.\n</reasoning>\nFinal Answer: -62"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 46 = -710"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 18x = -756. Divide by 18: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:20 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/20, so B = A × (20/28) = 57 × 20/28 = 40.7143.\n</reasoning>\nFinal Answer: 40.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/2 - 17/20. LCD = 20. Result = 13/20.\n</reasoning>\nFinal Answer: 13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 12, 17, 18] and B = [2, 6, 7, 9, 13, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 7, 9, 11, 12, 13, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 295 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 295 × (1 + 100/100) = 295 × 2.0 = 590.0.\n</reasoning>\nFinal Answer: 590.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -140 - 464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 464 from -140: -140 - 464 = -604.\n</reasoning>\nFinal Answer: -604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 11, 14, 15, 17] and B = [3, 4, 5, 6, 12, 13, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 15, 17].\n</reasoning>\nFinal Answer: [3, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 425 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 425 × (1 - 30/100) = 425 × 0.7 = 297.5.\n</reasoning>\nFinal Answer: 297.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 345 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 345 × (1 + 80/100) = 345 × 1.8 = 621.0.\n</reasoning>\nFinal Answer: 621.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 34 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 12x = -300. Divide by 12: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 38) * (10 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+38)=49, (10-45)=-35, then 49×-35=-1715.\n</reasoning>\nFinal Answer: -1715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -434 × -831"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -434 by -831: -434 × -831 = 360654.\n</reasoning>\nFinal Answer: 360654"
}
] | medium | [
"arithmetic",
"computation"
] |
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