messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 25% of 465?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 465 = (25/100) × 465 = 116.25.\n</reasoning>\nFinal Answer: 116.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 52 km/h. How far does it travel in 8 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 41/60 = 8.6833 hours. Distance = speed × time = 52 × 8.6833 = 451.5333 km.\n</reasoning>\nFinal Answer: 451.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 96 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 96 × (1 + 70/100) = 96 × 1.7 = 163.2.\n</reasoning>\nFinal Answer: 163.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -23 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 6x = -12. Divide by 6: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 30 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+30) × 21 = 808.5.\n</reasoning>\nFinal Answer: 808.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30432 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30432 × 19 × 8 / 100 = 46256.64.\n</reasoning>\nFinal Answer: 46256.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -12 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 5x = 75. Divide by 5: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/9 - 6/15. LCD = 5. Result = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 20 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 20 = 360 worker-days. New time = 360 / 3 = 120.0 days.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 199 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 = 199 × 4.8167 = 958.5167 km.\n</reasoning>\nFinal Answer: 958.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 10 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 2/60 = 10.0333 hours. Distance = speed × time = 57 × 10.0333 = 571.9 km.\n</reasoning>\nFinal Answer: 571.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 25 = 500.0.\n</reasoning>\nFinal Answer: 500.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 915 mod -288"
},
{
"role": "assistant",
"content": "<reasoning>\n915 mod -288: 915 = -288 × -4 + -237, so remainder = -237.\n</reasoning>\nFinal Answer: -237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:26 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/26, so B = A × (26/18) = 64 × 26/18 = 92.4444.\n</reasoning>\nFinal Answer: 92.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 66 = 2640.\n</reasoning>\nFinal Answer: 2640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 38 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 5x = 50. Divide by 5: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "50 is what percentage of 382?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/382) × 100 = 13.089%.\n</reasoning>\nFinal Answer: 13.089%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 - 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/19 - 12/15. LCD = 95. Result = -16/95.\n</reasoning>\nFinal Answer: -16/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 7, 9, 10, 13, 16] and B = [14, 16, 17, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 7, 9, 10, 13, 14, 17, 18, 19].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -715 + 215"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -715 and 215: -715 + 215 = -500.\n</reasoning>\nFinal Answer: -500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 78, 95, 12, 62, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 29, 50, 62, 78, 95]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 35 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -34 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 21x = 168. Divide by 21: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 53, 66, 79, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 13. Next term = 92 + 13 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 40 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 15x = -465. Divide by 15: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "39 is what percentage of 51?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/51) × 100 = 76.4706%.\n</reasoning>\nFinal Answer: 76.4706%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 47 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 5+2209-39=2175.\n</reasoning>\nFinal Answer: 2175"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 39 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹1495. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1495 × 12/100 = 179.4. Total = 1495 + 179.4 = 1674.4.\n</reasoning>\nFinal Answer: 1674.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "715 is what percentage of 952?"
},
{
"role": "assistant",
"content": "<reasoning>\n(715/952) × 100 = 75.105%.\n</reasoning>\nFinal Answer: 75.105%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 578 + 101"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 578 and 101: 578 + 101 = 679.\n</reasoning>\nFinal Answer: 679"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 26, 38, 50, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 12. Next term = 62 + 12 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -291 - 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 106 from -291: -291 - 106 = -397.\n</reasoning>\nFinal Answer: -397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 892 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 892 × (1 - 90/100) = 892 × 0.09999999999999998 = 89.2.\n</reasoning>\nFinal Answer: 89.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 38 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 49+1444-5=1488.\n</reasoning>\nFinal Answer: 1488"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/15 + 18/20. Common denominator = 10. Result = 13/10.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 50 = 2500.0.\n</reasoning>\nFinal Answer: 2500.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 6 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 15/60 = 6.2500 hours. Distance = speed × time = 45 × 6.2500 = 281.25 km.\n</reasoning>\nFinal Answer: 281.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (20)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×4×16 = 144. √discriminant = 12. x = (-(20) ± 12) / (2×4). Solutions: x = -1 or x = -4.\n</reasoning>\nFinal Answer: x = -1 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 11, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (43-1)×11 = 39 + 462 = 501.\n</reasoning>\nFinal Answer: 501"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 16) * (42 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+16)=30, (42-38)=4, then 30×4=120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1811. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1811 × 5/100 = 90.55. Total = 1811 + 90.55 = 1901.55.\n</reasoning>\nFinal Answer: 1901.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 419 + 256"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 419 and 256: 419 + 256 = 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 8, 10, 12, 15, 18] and B = [1, 3, 6, 11, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 7, 8, 10, 11, 12, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 67 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(67,122) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 12% of 458?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 458 = (12/100) × 458 = 54.96.\n</reasoning>\nFinal Answer: 54.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -20 = -476"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 24x = -456. Divide by 24: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 74 = 5550.\n</reasoning>\nFinal Answer: 5550"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 6 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 15/60 = 6.2500 hours. Distance = speed × time = 78 × 6.2500 = 487.5 km.\n</reasoning>\nFinal Answer: 487.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 7, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (10-1)×7 = 31 + 63 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 73, 87, 82, 60, 93, 53, 41, 27, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 682/10 = 68.2.\n</reasoning>\nFinal Answer: 68.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 60 = 5760.\n</reasoning>\nFinal Answer: 5760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 1 + 11 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×1=23 and 11×26=286, then add: 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 13, 14, 15, 18] and B = [1, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 13, 14, 18].\n</reasoning>\nFinal Answer: [6, 13, 14, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 505 mod -419"
},
{
"role": "assistant",
"content": "<reasoning>\n505 mod -419: 505 = -419 × -2 + -333, so remainder = -333.\n</reasoning>\nFinal Answer: -333"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -848 + -558"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -848 and -558: -848 + -558 = -1406.\n</reasoning>\nFinal Answer: -1406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 13/16. LCD = 112. Result = 197/112.\n</reasoning>\nFinal Answer: 197/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 96, 69, 10, 77, 20, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 96: 1, 69: 1, 10: 1, 77: 1, 20: 1, 38: 1}. Most frequent: [21, 96, 69, 10, 77, 20, 38].\n</reasoning>\nFinal Answer: [21, 96, 69, 10, 77, 20... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 10, 13] and B = [7, 8, 9, 10, 13, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5].\n</reasoning>\nFinal Answer: [2, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 1/5. Common denominator = 10. Result = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 17 + 47 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×17=544 and 47×44=2068, then add: 2612.\n</reasoning>\nFinal Answer: 2612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (13/15) = (65/180) = 13/36 after simplification.\n</reasoning>\nFinal Answer: 13/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 218?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 218 = (100/100) × 218 = 218.0.\n</reasoning>\nFinal Answer: 218.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 16 + 472"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 16 and 472: 16 + 472 = 488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/12 - 10/10. LCD = 6. Result = -5/6.\n</reasoning>\nFinal Answer: -5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 14 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 14x = 84. Divide by 14: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -82 × -975"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -82 by -975: -82 × -975 = 79950.\n</reasoning>\nFinal Answer: 79950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 270 km apart. Their speeds are 60 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+93=153 km/h. Time = 270/153 = 1.7647 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 18] and B = [7, 8, 9, 11, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [7, 8, 9, 10, 11, 14, 16, 18].\n</reasoning>\nFinal Answer: [7, 8, 9, 10, 11, 14, 16, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16815 at 3% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16815 × 3 × 10 / 100 = 5044.5.\n</reasoning>\nFinal Answer: 5044.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 75, 85, 99, 24, 94, 86, 21, 48, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 21, 24, 48, 75, 82, 85, 86, 94, 99]. Middle value(s) → median = 78.5.\n</reasoning>\nFinal Answer: 78.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 58 = 5510.\n</reasoning>\nFinal Answer: 5510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 470 ÷ 847"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 470 by 847. 470 ÷ 847 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×26)/2 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹2493. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2493 × 28/100 = 698.04. Total = 2493 + 698.04 = 3191.04.\n</reasoning>\nFinal Answer: 3191.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -153 ÷ -741"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -153 by -741. -153 ÷ -741 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -274 - -794"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -794 from -274: -274 - -794 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:20 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/20, so B = A × (20/15) = 98 × 20/15 = 130.6667.\n</reasoning>\nFinal Answer: 130.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 37, 52, 67, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 15. Next term = 82 + 15 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 348 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 348 × (1 + 12/100) = 348 × 1.12 = 389.76.\n</reasoning>\nFinal Answer: 389.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 38) * (40 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+38)=74, (40-44)=-4, then 74×-4=-296.\n</reasoning>\nFinal Answer: -296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×9)/3 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -262 mod 699"
},
{
"role": "assistant",
"content": "<reasoning>\n-262 mod 699: -262 = 699 × -1 + 437, so remainder = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 48 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+48) × 33 = 1369.5.\n</reasoning>\nFinal Answer: 1369.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 29 = 335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 18x = 306. Divide by 18: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "377 is what percentage of 830?"
},
{
"role": "assistant",
"content": "<reasoning>\n(377/830) × 100 = 45.4217%.\n</reasoning>\nFinal Answer: 45.4217%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 15, 16] and B = [1, 2, 9, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [15, 16].\n</reasoning>\nFinal Answer: [15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 / 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/5) ÷ (6/19) = (15/5) × (19/6) = 19/2.\n</reasoning>\nFinal Answer: 19/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 3 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 55/60 = 3.9167 hours. Distance = speed × time = 44 × 3.9167 = 172.3333 km.\n</reasoning>\nFinal Answer: 172.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 68 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(68,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 20% of 769?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 769 = (20/100) × 769 = 153.8.\n</reasoning>\nFinal Answer: 153.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹788. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 788 × 28/100 = 220.64. Total = 788 + 220.64 = 1008.64.\n</reasoning>\nFinal Answer: 1008.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 96, 88, 25, 7, 56, 55, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 508/8 = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (18/1) = (90/6) = 15 after simplification.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 89, 55, 26, 27, 78, 38, 8, 33, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 89: 1, 55: 1, 26: 1, 27: 1, 78: 1, 38: 1, 8: 1, 33: 1, 19: 1}. Most frequent: [53, 89, 55, 26, 27, 78, 38, 8, 33, 19].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 - 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/3 - 7/16. LCD = 48. Result = -5/48.\n</reasoning>\nFinal Answer: -5/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 19] and B = [3, 12, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 8, 12, 13, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 5, 8, 12, 13, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -306 mod 622"
},
{
"role": "assistant",
"content": "<reasoning>\n-306 mod 622: -306 = 622 × -1 + 316, so remainder = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 20, 20, 48, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 20: 2, 48: 1, 99: 1}. Most frequent: 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5483 at 20% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5483 × 20 × 4 / 100 = 4386.4.\n</reasoning>\nFinal Answer: 4386.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.