messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34371 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34371 × 1 × 8 / 100 = 2749.68.\n</reasoning>\nFinal Answer: 2749.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 * 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/4) × (19/6) = (152/24) = 19/3 after simplification.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -63 - -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -65 from -63: -63 - -65 = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 17 + 15 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×17=850 and 15×48=720, then add: 1570.\n</reasoning>\nFinal Answer: 1570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 46 = 514"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 13x = 468. Divide by 13: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:25 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/25, so B = A × (25/18) = 2 × 25/18 = 2.7778.\n</reasoning>\nFinal Answer: 2.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 29, 77, 56, 27, 53, 2, 70, 51, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 464/10 = 46.4.\n</reasoning>\nFinal Answer: 46.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 1 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 0/60 = 1.0000 hours. Distance = speed × time = 108 × 1.0000 = 108.0 km.\n</reasoning>\nFinal Answer: 108.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 245 mod 577"
},
{
"role": "assistant",
"content": "<reasoning>\n245 mod 577: 245 = 577 × 0 + 245, so remainder = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,2) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 49 = -147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 4x = -196. Divide by 4: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -27 = 645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 24x = 672. Divide by 24: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 - 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/10 - 8/7. LCD = 14. Result = -9/14.\n</reasoning>\nFinal Answer: -9/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 167 mod -59"
},
{
"role": "assistant",
"content": "<reasoning>\n167 mod -59: 167 = -59 × -3 + -10, so remainder = -10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 425 - -744"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -744 from 425: 425 - -744 = 1169.\n</reasoning>\nFinal Answer: 1169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -25 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 19x = 456. Divide by 19: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 16 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 16 = 224 worker-days. New time = 224 / 11 = 20.3636 days.\n</reasoning>\nFinal Answer: 20.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -721 × -617"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -721 by -617: -721 × -617 = 444857.\n</reasoning>\nFinal Answer: 444857"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 4 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 38, 26, 47, 85, 74, 10, 5, 62, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 38: 1, 26: 1, 47: 1, 85: 1, 74: 1, 10: 1, 5: 1, 62: 1, 89: 1}. Most frequent: [21, 38, 26, 47, 85, 74, 10, 5, 62, 89].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9410 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9410 × 2 × 4 / 100 = 752.8.\n</reasoning>\nFinal Answer: 752.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 / 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/11) ÷ (17/12) = (15/11) × (12/17) = 180/187.\n</reasoning>\nFinal Answer: 180/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 47 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+47) × 4 = 150.0.\n</reasoning>\nFinal Answer: 150.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 36, 53, 70, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 17. Next term = 87 + 17 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 12 = -772"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 28x = -784. Divide by 28: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 88 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 88 × (1 - 40/100) = 88 × 0.6 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 90 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(90,4) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 136 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(136,136) = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -453 ÷ 126"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -453 by 126. -453 ÷ 126 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -8 = -488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 12x = -480. Divide by 12: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 13/4. Common denominator = 4. Result = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -41 = -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 24x = -48. Divide by 24: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 796 + 136"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 796 and 136: 796 + 136 = 932.\n</reasoning>\nFinal Answer: 932"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 34 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(34,100) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 18 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 44+324-1=367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 - 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/5 - 8/6. LCD = 15. Result = 22/15.\n</reasoning>\nFinal Answer: 22/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 68, 71, 68, 91, 39, 33, 12, 8, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 14, 33, 39, 55, 68, 68, 71, 91]. Middle value(s) → median = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -640 + -375"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -640 and -375: -640 + -375 = -1015.\n</reasoning>\nFinal Answer: -1015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 70 = 525.0.\n</reasoning>\nFinal Answer: 525.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 155 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -732 + -81"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -732 and -81: -732 + -81 = -813.\n</reasoning>\nFinal Answer: -813"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1548. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1548 × 5/100 = 77.4. Total = 1548 + 77.4 = 1625.4.\n</reasoning>\nFinal Answer: 1625.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 9, 16, 18, 19] and B = [1, 2, 4, 8, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 8, 9, 18, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6610 at 2% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6610 × 2 × 1 / 100 = 132.2.\n</reasoning>\nFinal Answer: 132.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 27 = 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 24x = 672. Divide by 24: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 253 × 637"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 253 by 637: 253 × 637 = 161161.\n</reasoning>\nFinal Answer: 161161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 229?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 229 = (10/100) × 229 = 22.9.\n</reasoning>\nFinal Answer: 22.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+64) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 8, 11, 17, 19] and B = [3, 7, 13, 14], 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": "Simplify: 17/12 * 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/12) × (9/12) = (153/144) = 17/16 after simplification.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 557 mod -855"
},
{
"role": "assistant",
"content": "<reasoning>\n557 mod -855: 557 = -855 × -1 + -298, so remainder = -298.\n</reasoning>\nFinal Answer: -298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/20 - 20/7. LCD = 140. Result = -351/140.\n</reasoning>\nFinal Answer: -351/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 - 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/1 - 7/2. LCD = 2. Result = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 29 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 29 = 203 worker-days. New time = 203 / 3 = 67.6667 days.\n</reasoning>\nFinal Answer: 67.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 34 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+34) × 1 = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -394 mod -123"
},
{
"role": "assistant",
"content": "<reasoning>\n-394 mod -123: -394 = -123 × 3 + -25, so remainder = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 + 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/13 + 4/9. Common denominator = 117. Result = 142/117.\n</reasoning>\nFinal Answer: 142/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 43 = 2107.\n</reasoning>\nFinal Answer: 2107"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -477 mod 30"
},
{
"role": "assistant",
"content": "<reasoning>\n-477 mod 30: -477 = 30 × -16 + 3, so remainder = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 19 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 2+361-32=331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 407 - -337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -337 from 407: 407 - -337 = 744.\n</reasoning>\nFinal Answer: 744"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 8, 12] and B = [5, 6, 7, 11, 14, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 7, 8, 11, 12, 14, 18, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 685 mod -286"
},
{
"role": "assistant",
"content": "<reasoning>\n685 mod -286: 685 = -286 × -3 + -173, so remainder = -173.\n</reasoning>\nFinal Answer: -173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 12) * (18 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+12)=14, (18-10)=8, then 14×8=112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 + 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/18 + 10/1. Common denominator = 6. Result = 65/6.\n</reasoning>\nFinal Answer: 65/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 611 × 197"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 611 by 197: 611 × 197 = 120367.\n</reasoning>\nFinal Answer: 120367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 84, 23, 7, 63, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 7 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 11 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 11 = 165 worker-days. New time = 165 / 2 = 82.5 days.\n</reasoning>\nFinal Answer: 82.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -12 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 12x = -48. Divide by 12: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 19] and B = [3, 4, 8, 13, 14, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 10, 19].\n</reasoning>\nFinal Answer: [1, 5, 10, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 - 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/15 - 12/16. LCD = 4. Result = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 746 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 746 × (1 - 45/100) = 746 × 0.55 = 410.3.\n</reasoning>\nFinal Answer: 410.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 41 + 35 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×41=861 and 35×31=1085, then add: 1946.\n</reasoning>\nFinal Answer: 1946"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 92 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 92 × 21 = 1932.\n</reasoning>\nFinal Answer: 1932"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 42, 88, 68, 96, 52, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 42: 1, 88: 1, 68: 1, 96: 1, 52: 1, 82: 1}. Most frequent: [65, 42, 88, 68, 96, 52, 82].\n</reasoning>\nFinal Answer: [65, 42, 88, 68, 96, 52... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 44 and 173."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(44,173) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 7% of 67?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 67 = (7/100) × 67 = 4.69.\n</reasoning>\nFinal Answer: 4.69"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -704 × 310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -704 by 310: -704 × 310 = -218240.\n</reasoning>\nFinal Answer: -218240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 32, 33, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 32 + 33 + 36 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:43 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/43, so B = A × (43/2) = 46 × 43/2 = 989.0.\n</reasoning>\nFinal Answer: 989.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 128 km/h. How far does it travel in 3 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 22/60 = 3.3667 hours. Distance = speed × time = 128 × 3.3667 = 430.9333 km.\n</reasoning>\nFinal Answer: 430.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -776 + -693"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -776 and -693: -776 + -693 = -1469.\n</reasoning>\nFinal Answer: -1469"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 206 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 206 × (1 + 65/100) = 206 × 1.65 = 339.9.\n</reasoning>\nFinal Answer: 339.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 56, 73, 97, 22, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 22 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 51, 88, 37, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 230/5 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 1, 18, 71, 1, 32, 20, 9, 29, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 308/10 = 30.8.\n</reasoning>\nFinal Answer: 30.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -48 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 30x = -60. Divide by 30: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 11, 13, 14, 15, 19] and B = [4, 6, 10, 11, 13, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 6, 10, 11, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (6)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×2×-108 = 900. √discriminant = 30. x = (-(6) ± 30) / (2×2). Solutions: x = 6 or x = -9.\n</reasoning>\nFinal Answer: x = 6 or x = -9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "532 is what percentage of 643?"
},
{
"role": "assistant",
"content": "<reasoning>\n(532/643) × 100 = 82.7372%.\n</reasoning>\nFinal Answer: 82.7372%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (18/6) = (8/3) × (6/18) = 8/9.\n</reasoning>\nFinal Answer: 8/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48581 at 9% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48581 × 9 × 7 / 100 = 30606.03.\n</reasoning>\nFinal Answer: 30606.03"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 85."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,85) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 42, 93, 20, 64, 56, 86, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 31, 42, 56, 64, 69, 86, 93]. Middle value(s) → median = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 18 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 11 + 19 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×11=374 and 19×43=817, then add: 1191.\n</reasoning>\nFinal Answer: 1191"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 34 = -656"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 15x = -690. Divide by 15: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 6) * (5 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+6)=52, (5-4)=1, then 52×1=52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 175 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 175 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 12, 17] and B = [2, 3, 5, 12, 13, 15], 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"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.