messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -848 mod 965"
},
{
"role": "assistant",
"content": "<reasoning>\n-848 mod 965: -848 = 965 × -1 + 117, so remainder = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 98, 3, 67, 20, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 3 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (15/18) = (20/10) × (18/15) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 163 × -883"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 163 by -883: 163 × -883 = -143929.\n</reasoning>\nFinal Answer: -143929"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 77, 25, 81, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 25 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 52, 59, 66, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 7. Next term = 73 + 7 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47206 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47206 × 17 × 10 / 100 = 80250.2.\n</reasoning>\nFinal Answer: 80250.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 942 mod -258"
},
{
"role": "assistant",
"content": "<reasoning>\n942 mod -258: 942 = -258 × -4 + -90, so remainder = -90.\n</reasoning>\nFinal Answer: -90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 615 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 615 × (1 + 50/100) = 615 × 1.5 = 922.5.\n</reasoning>\nFinal Answer: 922.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -877 mod 178"
},
{
"role": "assistant",
"content": "<reasoning>\n-877 mod 178: -877 = 178 × -5 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:23 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/23, so B = A × (23/14) = 29 × 23/14 = 47.6429.\n</reasoning>\nFinal Answer: 47.6429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 100, 49, 34, 52, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 100: 1, 49: 1, 34: 1, 52: 1, 87: 1}. Most frequent: [88, 100, 49, 34, 52, 87].\n</reasoning>\nFinal Answer: [88, 100, 49, 34, 52, 87]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 17, 7, 9, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 7 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 7 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 7 = 35 worker-days. New time = 35 / 15 = 2.3333 days.\n</reasoning>\nFinal Answer: 2.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -41 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 5x = 220. Divide by 5: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 25 * 45 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×45=1125, then 8+1125-10=1123.\n</reasoning>\nFinal Answer: 1123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -723 mod -108"
},
{
"role": "assistant",
"content": "<reasoning>\n-723 mod -108: -723 = -108 × 6 + -75, so remainder = -75.\n</reasoning>\nFinal Answer: -75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 - 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/10 - 20/3. LCD = 30. Result = -191/30.\n</reasoning>\nFinal Answer: -191/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 6, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (36-1)×6 = 23 + 210 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 + 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/2 + 10/1. Common denominator = 2. Result = 29/2.\n</reasoning>\nFinal Answer: 29/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 18, 19] and B = [1, 2, 7, 10, 15, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 19].\n</reasoning>\nFinal Answer: [1, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -943 ÷ 445"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -943 by 445. -943 ÷ 445 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 10, 11, 12] and B = [1, 2, 10, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 10, 11, 12, 13].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 10, 11, 12, 13]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -628 × 349"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -628 by 349: -628 × 349 = -219172.\n</reasoning>\nFinal Answer: -219172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 26 + 14 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×26=1014 and 14×39=546, then add: 1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 14 * 22 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×22=308, then 15+308-32=291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 33 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+42) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 16] and B = [2, 3, 4, 6, 10, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 805 km apart. Their speeds are 49 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+75=124 km/h. Time = 805/124 = 6.4919 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:13 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/13, so B = A × (13/37) = 100 × 13/37 = 35.1351.\n</reasoning>\nFinal Answer: 35.1351"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -391 ÷ -89"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -391 by -89. -391 ÷ -89 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 44) * (47 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+44)=62, (47-40)=7, then 62×7=434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 47 = -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 14x = -196. Divide by 14: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 20 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+20) × 47 = 1621.5.\n</reasoning>\nFinal Answer: 1621.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 20% of 247?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 247 = (20/100) × 247 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2096 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2096 × 17 × 4 / 100 = 1425.28.\n</reasoning>\nFinal Answer: 1425.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 34 = -56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -804 × -140"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -804 by -140: -804 × -140 = 112560.\n</reasoning>\nFinal Answer: 112560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -80 ÷ -565"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -80 by -565. -80 ÷ -565 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 94 × 21/4 = 493.5.\n</reasoning>\nFinal Answer: 493.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 + 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/16 + 14/14. Common denominator = 16. Result = 27/16.\n</reasoning>\nFinal Answer: 27/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 16, 17] and B = [5, 9, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [9, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [9, 16, 17, 18, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4817. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4817 × 5/100 = 240.85. Total = 4817 + 240.85 = 5057.85.\n</reasoning>\nFinal Answer: 5057.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 49 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+49) × 6 = 261.0.\n</reasoning>\nFinal Answer: 261.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "648 is what percentage of 908?"
},
{
"role": "assistant",
"content": "<reasoning>\n(648/908) × 100 = 71.3656%.\n</reasoning>\nFinal Answer: 71.3656%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 - 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/4 - 12/18. LCD = 3. Result = 10/3.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+29) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 932 km apart. Their speeds are 62 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+93=155 km/h. Time = 932/155 = 6.0129 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-6)x + (-45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×3×-45 = 576. √discriminant = 24. x = (-(-6) ± 24) / (2×3). Solutions: x = -3 or x = 5.\n</reasoning>\nFinal Answer: x = -3 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (3/15) = (36/90) = 2/5 after simplification.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 82 = 2542.\n</reasoning>\nFinal Answer: 2542"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 99 = 8613.\n</reasoning>\nFinal Answer: 8613"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 93 ÷ 718"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 93 by 718. 93 ÷ 718 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 11, 24, 86, 11, 70, 26, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 11, 12, 24, 26, 45, 70, 86]. Middle value(s) → median = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 38 = -1069"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 27x = -1107. Divide by 27: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 64, 74, 31, 15, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 15 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 26 + 47 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×26=1040 and 47×11=517, then add: 1557.\n</reasoning>\nFinal Answer: 1557"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 20, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (21-1)×20 = 23 + 400 = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:21 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/21, so B = A × (21/45) = 13 × 21/45 = 6.0667.\n</reasoning>\nFinal Answer: 6.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 14 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 24x = 168. Divide by 24: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 36 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 7+1296-38=1265.\n</reasoning>\nFinal Answer: 1265"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 88 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 88 × (1 + 60/100) = 88 × 1.6 = 140.8.\n</reasoning>\nFinal Answer: 140.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 + 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/15 + 12/5. Common denominator = 5. Result = 14/5.\n</reasoning>\nFinal Answer: 14/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 16 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 16 = 160 worker-days. New time = 160 / 8 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:20 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/20, so B = A × (20/47) = 8 × 20/47 = 3.4043.\n</reasoning>\nFinal Answer: 3.4043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 485 - 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 76 from 485: 485 - 76 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 56 = 2772.0.\n</reasoning>\nFinal Answer: 2772.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 - 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/4 - 18/20. LCD = 20. Result = -13/20.\n</reasoning>\nFinal Answer: -13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 73, 8, 11, 78, 45, 13, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 73: 1, 8: 1, 11: 1, 78: 1, 45: 1, 13: 1, 36: 1}. Most frequent: [61, 73, 8, 11, 78, 45, 13, 36].\n</reasoning>\nFinal Answer: [61, 73, 8,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 9, 10, 14, 17, 19] and B = [1, 6, 10, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 6, 8, 9, 10, 14, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 44 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+44) × 26 = 1053.0.\n</reasoning>\nFinal Answer: 1053.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 19, 45, 54, 14, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 19: 1, 45: 1, 54: 1, 14: 1, 44: 1}. Most frequent: [23, 19, 45, 54, 14, 44].\n</reasoning>\nFinal Answer: [23, 19, 45, 54, 14, 44]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 48, 99, 62, 85, 15, 63, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 519/8 = 64.875.\n</reasoning>\nFinal Answer: 64.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 18 * 10 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×10=180, then 8+180-24=164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -640 mod -672"
},
{
"role": "assistant",
"content": "<reasoning>\n-640 mod -672: -640 = -672 × 0 + -640, so remainder = -640.\n</reasoning>\nFinal Answer: -640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 39 + 21 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×39=1872 and 21×48=1008, then add: 2880.\n</reasoning>\nFinal Answer: 2880"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 26 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 15x = 240. Divide by 15: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 960 + 825"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 960 and 825: 960 + 825 = 1785.\n</reasoning>\nFinal Answer: 1785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:27 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/27, so B = A × (27/22) = 26 × 27/22 = 31.9091.\n</reasoning>\nFinal Answer: 31.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 7, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (12-1)×7 = 4 + 77 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/6) ÷ (10/11) = (6/6) × (11/10) = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -24 = -759"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 15x = -735. Divide by 15: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -841 ÷ 939"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -841 by 939. -841 ÷ 939 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 22 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+22) × 23 = 667.0.\n</reasoning>\nFinal Answer: 667.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 29 = 609.\n</reasoning>\nFinal Answer: 609"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 413 + 909"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 413 and 909: 413 + 909 = 1322.\n</reasoning>\nFinal Answer: 1322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 - 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/13 - 4/5. LCD = 65. Result = -47/65.\n</reasoning>\nFinal Answer: -47/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 6 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 6 = 72 worker-days. New time = 72 / 5 = 14.4 days.\n</reasoning>\nFinal Answer: 14.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 - 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/12 - 16/13. LCD = 156. Result = -179/156.\n</reasoning>\nFinal Answer: -179/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -238 + -847"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -238 and -847: -238 + -847 = -1085.\n</reasoning>\nFinal Answer: -1085"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 652 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 652 × (1 - 7/100) = 652 × 0.9299999999999999 = 606.36.\n</reasoning>\nFinal Answer: 606.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 461?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 461 = (10/100) × 461 = 46.1.\n</reasoning>\nFinal Answer: 46.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 764 ÷ 201"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 764 by 201. 764 ÷ 201 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -735 mod 612"
},
{
"role": "assistant",
"content": "<reasoning>\n-735 mod 612: -735 = 612 × -2 + 489, so remainder = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-11)x + (10) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -11² - 4×1×10 = 81. √discriminant = 9. x = (-(-11) ± 9) / (2×1). Solutions: x = 1 or x = 10.\n</reasoning>\nFinal Answer: x = 1 or x = 10"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -480 - -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -825 from -480: -480 - -825 = 345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 877 mod 125"
},
{
"role": "assistant",
"content": "<reasoning>\n877 mod 125: 877 = 125 × 7 + 2, so remainder = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 88, 81, 54, 90, 82, 33, 7, 95, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 552/10 = 55.2.\n</reasoning>\nFinal Answer: 55.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 46 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
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