messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [66, 30, 96, 78, 52, 21, 94, 56, 24, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 24, 30, 52, 56, 66, 78, 81, 94, 96]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -363 + -860"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -363 and -860: -363 + -860 = -1223.\n</reasoning>\nFinal Answer: -1223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:41 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/41, so B = A × (41/36) = 5 × 41/36 = 5.6944.\n</reasoning>\nFinal Answer: 5.6944"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3049. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3049 × 28/100 = 853.72. Total = 3049 + 853.72 = 3902.72.\n</reasoning>\nFinal Answer: 3902.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -25 = -416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 17x = -391. Divide by 17: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 666 ÷ 842"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 666 by 842. 666 ÷ 842 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3368. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3368 × 28/100 = 943.04. Total = 3368 + 943.04 = 4311.04.\n</reasoning>\nFinal Answer: 4311.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 36, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 36 + 36 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -8 = -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 29x = -754. Divide by 29: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 10, 13] and B = [1, 2, 4, 5, 16, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 6, 10, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 5,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 12 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 24/60 = 12.4000 hours. Distance = speed × time = 142 × 12.4000 = 1760.8 km.\n</reasoning>\nFinal Answer: 1760.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 82 = 3280.0.\n</reasoning>\nFinal Answer: 3280.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-12)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×1×36 = 0. √discriminant = 0. x = (-(-12) ± 0) / (2×1). Solutions: x = 6 (double root).\n</reasoning>\nFinal Answer: x = 6 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 46 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 22+2116-36=2102.\n</reasoning>\nFinal Answer: 2102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -113 + -795"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -113 and -795: -113 + -795 = -908.\n</reasoning>\nFinal Answer: -908"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 681 mod -582"
},
{
"role": "assistant",
"content": "<reasoning>\n681 mod -582: 681 = -582 × -2 + -483, so remainder = -483.\n</reasoning>\nFinal Answer: -483"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 34, 79, 9, 50, 90, 25, 98, 27, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 9 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 / 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/2) ÷ (11/11) = (18/2) × (11/11) = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 20 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 17x = 68. Divide by 17: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19553 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19553 × 5 × 4 / 100 = 3910.6.\n</reasoning>\nFinal Answer: 3910.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 559 × 280"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 559 by 280: 559 × 280 = 156520.\n</reasoning>\nFinal Answer: 156520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 - 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/9 - 13/14. LCD = 126. Result = -19/126.\n</reasoning>\nFinal Answer: -19/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 9, 13, 16] and B = [3, 5, 8, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9, 16].\n</reasoning>\nFinal Answer: [6, 9, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -25 = 1115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 30x = 1140. Divide by 30: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -26 = -260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 26x = -234. Divide by 26: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 12, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (13-1)×12 = 38 + 144 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:1 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/1, so B = A × (1/25) = 43 × 1/25 = 1.72.\n</reasoning>\nFinal Answer: 1.72"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 575 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 575 × (1 + 12/100) = 575 × 1.12 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 821 × 955"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 821 by 955: 821 × 955 = 784055.\n</reasoning>\nFinal Answer: 784055"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 12 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 12 = 84 worker-days. New time = 84 / 13 = 6.4615 days.\n</reasoning>\nFinal Answer: 6.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 12 * 15 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×15=180, then 23+180-19=184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (50)x + (125) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 50² - 4×5×125 = 0. √discriminant = 0. x = (-(50) ± 0) / (2×5). Solutions: x = -5 (double root).\n</reasoning>\nFinal Answer: x = -5 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -548 ÷ 617"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -548 by 617. -548 ÷ 617 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 39) * (39 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+39)=43, (39-8)=31, then 43×31=1333.\n</reasoning>\nFinal Answer: 1333"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -7 ÷ 250"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -7 by 250. -7 ÷ 250 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -31 = 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 26x = 494. Divide by 26: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 43) * (6 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+43)=83, (6-17)=-11, then 83×-11=-913.\n</reasoning>\nFinal Answer: -913"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 19 = 836.\n</reasoning>\nFinal Answer: 836"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 77, 53, 69, 53, 72, 13, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 77: 1, 53: 2, 69: 1, 72: 1, 13: 1, 58: 1}. Most frequent: 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 22, 36, 74, 25, 14, 15, 13, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 275/9 = 30.5556.\n</reasoning>\nFinal Answer: 30.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 70, 42, 33, 7, 54, 4, 8, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 70: 1, 42: 1, 33: 1, 7: 1, 54: 1, 4: 1, 8: 1, 87: 1}. Most frequent: [72, 70, 42, 33, 7, 54, 4, 8, 87].\n</reasoning>\nFinal Answer: [7... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -20 = -657"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 13x = -637. Divide by 13: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -738 + 4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -738 and 4: -738 + 4 = -734.\n</reasoning>\nFinal Answer: -734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 229 km apart. Their speeds are 42 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+79=121 km/h. Time = 229/121 = 1.8926 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 * 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/19) × (8/20) = (136/380) = 34/95 after simplification.\n</reasoning>\nFinal Answer: 34/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 + 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/5 + 17/2. Common denominator = 10. Result = 93/10.\n</reasoning>\nFinal Answer: 93/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (3)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×3×0 = 9. √discriminant = 3. x = (-(3) ± 3) / (2×3). Solutions: x = 0 or x = -1.\n</reasoning>\nFinal Answer: x = 0 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 1 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 40+1-44=-3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 6) * (41 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+6)=7, (41-9)=32, then 7×32=224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 31 + 12 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×31=527 and 12×18=216, then add: 743.\n</reasoning>\nFinal Answer: 743"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+80) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 23 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 5x = -130. Divide by 5: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -1 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 6x = -294. Divide by 6: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 584 + 123"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 584 and 123: 584 + 123 = 707.\n</reasoning>\nFinal Answer: 707"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -228 mod 693"
},
{
"role": "assistant",
"content": "<reasoning>\n-228 mod 693: -228 = 693 × -1 + 465, so remainder = 465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3177. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3177 × 12/100 = 381.24. Total = 3177 + 381.24 = 3558.24.\n</reasoning>\nFinal Answer: 3558.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 13, 15, 16, 19] and B = [2, 4, 5, 12, 13, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 6, 9, 12, 13, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 86, 45, 29, 46, 91, 52, 76, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 469/9 = 52.1111.\n</reasoning>\nFinal Answer: 52.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 / 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/11) ÷ (14/13) = (16/11) × (13/14) = 104/77.\n</reasoning>\nFinal Answer: 104/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -784 ÷ 953"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -784 by 953. -784 ÷ 953 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -638 ÷ -115"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -638 by -115. -638 ÷ -115 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 97 = 8536.\n</reasoning>\nFinal Answer: 8536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 1) * (7 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+1)=51, (7-40)=-33, then 51×-33=-1683.\n</reasoning>\nFinal Answer: -1683"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 758 mod -580"
},
{
"role": "assistant",
"content": "<reasoning>\n758 mod -580: 758 = -580 × -2 + -402, so remainder = -402.\n</reasoning>\nFinal Answer: -402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 73 = 6132.\n</reasoning>\nFinal Answer: 6132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 681 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 681 × (1 - 15/100) = 681 × 0.85 = 578.85.\n</reasoning>\nFinal Answer: 578.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 / 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/20) ÷ (8/15) = (12/20) × (15/8) = 9/8.\n</reasoning>\nFinal Answer: 9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 502 × 932"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 502 by 932: 502 × 932 = 467864.\n</reasoning>\nFinal Answer: 467864"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 78, 3, 50, 80, 66, 58, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 415/8 = 51.875.\n</reasoning>\nFinal Answer: 51.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 62, 84, 68, 53, 39, 89, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 39, 53, 59, 62, 68, 84, 89]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹1538. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1538 × 28/100 = 430.64. Total = 1538 + 430.64 = 1968.64.\n</reasoning>\nFinal Answer: 1968.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 * 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/14) × (9/9) = (171/126) = 19/14 after simplification.\n</reasoning>\nFinal Answer: 19/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 32, 71, 70, 3, 41, 27, 82, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 32: 1, 71: 1, 70: 1, 3: 1, 41: 1, 27: 1, 82: 1, 96: 1}. Most frequent: [60, 32, 71, 70, 3, 41, 27, 82, 96].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -2 = -462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 10x = -460. Divide by 10: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -45 = -477"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 12x = -432. Divide by 12: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -102 - -767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -767 from -102: -102 - -767 = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 24, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 24 + 27 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:8 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/8, so B = A × (8/37) = 76 × 8/37 = 16.4324.\n</reasoning>\nFinal Answer: 16.4324"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 49 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+49) × 42 = 1197.0.\n</reasoning>\nFinal Answer: 1197.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3974 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3974 × 20 × 6 / 100 = 4768.8.\n</reasoning>\nFinal Answer: 4768.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 7 * 42 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×42=294, then 31+294-7=318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -39 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:22 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/22, so B = A × (22/11) = 78 × 22/11 = 156.0.\n</reasoning>\nFinal Answer: 156.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 - 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/17 - 14/2. LCD = 17. Result = -115/17.\n</reasoning>\nFinal Answer: -115/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -375 ÷ -346"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -375 by -346. -375 ÷ -346 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -19 = -947"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 29x = -928. Divide by 29: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 86, 23, 95, 5, 56, 71, 73, 89, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 23, 26, 56, 71, 73, 86, 89, 95, 99]. Middle value(s) → median = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 821 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 821 × (1 - 50/100) = 821 × 0.5 = 410.5.\n</reasoning>\nFinal Answer: 410.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 13, 15, 16, 17] and B = [2, 3, 5, 8, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 8, 11, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 8, 11,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -167 × 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -167 by 13: -167 × 13 = -2171.\n</reasoning>\nFinal Answer: -2171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 22 + 153"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 22 and 153: 22 + 153 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -6 = 374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 19x = 380. Divide by 19: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20882 at 8% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20882 × 8 × 1 / 100 = 1670.56.\n</reasoning>\nFinal Answer: 1670.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 13 = -884"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 23x = -897. Divide by 23: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 474 - -550"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -550 from 474: 474 - -550 = 1024.\n</reasoning>\nFinal Answer: 1024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 14 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 14 = 70 worker-days. New time = 70 / 16 = 4.375 days.\n</reasoning>\nFinal Answer: 4.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 1, 10, 21, 99, 9, 75, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 9, 10, 21, 50, 75, 87, 99]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 * 16/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/6) × (16/14) = (16/84) = 4/21 after simplification.\n</reasoning>\nFinal Answer: 4/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 23 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 23 = 115 worker-days. New time = 115 / 9 = 12.7778 days.\n</reasoning>\nFinal Answer: 12.7778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 66, 29, 56, 84, 12, 20, 47, 12, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 457/10 = 45.7.\n</reasoning>\nFinal Answer: 45.7"
}
] | easy | [
"statistics",
"mean"
] |
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