messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "179 is what percentage of 288?"
},
{
"role": "assistant",
"content": "<reasoning>\n(179/288) × 100 = 62.1528%.\n</reasoning>\nFinal Answer: 62.1528%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 172 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(172,40) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 101 apples and buys 122 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 101 + 122 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 30 = -735"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 17x = -765. Divide by 17: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 1 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 34+1-45=-10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "287 is what percentage of 347?"
},
{
"role": "assistant",
"content": "<reasoning>\n(287/347) × 100 = 82.7089%.\n</reasoning>\nFinal Answer: 82.7089%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:31 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/31, so B = A × (31/29) = 75 × 31/29 = 80.1724.\n</reasoning>\nFinal Answer: 80.1724"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (20)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×2×0 = 400. √discriminant = 20. x = (-(20) ± 20) / (2×2). Solutions: x = 0 or x = -10.\n</reasoning>\nFinal Answer: x = 0 or x = -10"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -410 + 672"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -410 and 672: -410 + 672 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -760 + -600"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -760 and -600: -760 + -600 = -1360.\n</reasoning>\nFinal Answer: -1360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 26, 3, 39, 81, 91, 28, 55, 79, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 544/10 = 54.4.\n</reasoning>\nFinal Answer: 54.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 14] and B = [4, 5, 6, 7, 11, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 11, 14, 16].\n</reasoning>\nFinal Answer: [4, 5, 6, 7, 11, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 2, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (45-1)×2 = 3 + 88 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/16 - 4/2. LCD = 8. Result = -15/8.\n</reasoning>\nFinal Answer: -15/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -22 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 1x = 23. Divide by 1: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 3 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 3 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 37) * (23 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+37)=51, (23-7)=16, then 51×16=816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -50 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 3x = -132. Divide by 3: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "322 is what percentage of 391?"
},
{
"role": "assistant",
"content": "<reasoning>\n(322/391) × 100 = 82.3529%.\n</reasoning>\nFinal Answer: 82.3529%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -326 × 458"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -326 by 458: -326 × 458 = -149308.\n</reasoning>\nFinal Answer: -149308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4440. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4440 × 12/100 = 532.8. Total = 4440 + 532.8 = 4972.8.\n</reasoning>\nFinal Answer: 4972.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:18 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/18, so B = A × (18/43) = 68 × 18/43 = 28.4651.\n</reasoning>\nFinal Answer: 28.4651"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 843 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 843 × (1 - 75/100) = 843 × 0.25 = 210.75.\n</reasoning>\nFinal Answer: 210.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -409 - 981"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 981 from -409: -409 - 981 = -1390.\n</reasoning>\nFinal Answer: -1390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×21)/1 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 15% of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 333 = (15/100) × 333 = 49.95.\n</reasoning>\nFinal Answer: 49.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -31 = -1031"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 20x = -1000. Divide by 20: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 18 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+18) × 13 = 182.0.\n</reasoning>\nFinal Answer: 182.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 296 × 618"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 296 by 618: 296 × 618 = 182928.\n</reasoning>\nFinal Answer: 182928"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 27, 78, 38, 89, 99, 19, 80, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 548/9 = 60.8889.\n</reasoning>\nFinal Answer: 60.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:2 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/2, so B = A × (2/9) = 7 × 2/9 = 1.5556.\n</reasoning>\nFinal Answer: 1.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:18 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/18, so B = A × (18/11) = 21 × 18/11 = 34.3636.\n</reasoning>\nFinal Answer: 34.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 47."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 47 by smallest primes repeatedly: 47 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 14, 16, 18, 19] and B = [1, 3, 7, 8, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 7, 8, 14, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 7, 8,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 19 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 16+361-20=357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 580 - 886"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 886 from 580: 580 - 886 = -306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 / 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/14) ÷ (5/16) = (12/14) × (16/5) = 96/35.\n</reasoning>\nFinal Answer: 96/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 75, 61, 6, 38, 36, 10, 53, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 6 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 50 = 466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 13x = 416. Divide by 13: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:43 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/43, so B = A × (43/29) = 26 × 43/29 = 38.5517.\n</reasoning>\nFinal Answer: 38.5517"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 109 and 77."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(109,77) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:41 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/41, so B = A × (41/1) = 48 × 41/1 = 1968.0.\n</reasoning>\nFinal Answer: 1968.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 34 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+34) × 33 = 973.5.\n</reasoning>\nFinal Answer: 973.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 27 + 39 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×27=675 and 39×15=585, then add: 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 37 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 7+1369-45=1331.\n</reasoning>\nFinal Answer: 1331"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (8)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×2×0 = 64. √discriminant = 8. x = (-(8) ± 8) / (2×2). Solutions: x = -4 or x = 0.\n</reasoning>\nFinal Answer: x = -4 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 41 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+41) × 46 = 1702.0.\n</reasoning>\nFinal Answer: 1702.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+75) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -980 + 205"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -980 and 205: -980 + 205 = -775.\n</reasoning>\nFinal Answer: -775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 100, 11, 98, 90, 73, 60, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 9 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (16/2) = (272/18) = 136/9 after simplification.\n</reasoning>\nFinal Answer: 136/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 27, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 27 + 31 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -228 + 409"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -228 and 409: -228 + 409 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3013. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3013 × 28/100 = 843.64. Total = 3013 + 843.64 = 3856.64.\n</reasoning>\nFinal Answer: 3856.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -318 ÷ -890"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -318 by -890. -318 ÷ -890 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 9 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 9 = 36 worker-days. New time = 36 / 19 = 1.8947 days.\n</reasoning>\nFinal Answer: 1.8947"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 23, 56, 16, 96, 67, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 310/7 = 44.2857.\n</reasoning>\nFinal Answer: 44.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 12, 60, 61, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 45, 55, 60, 61]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 * 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/14) × (12/17) = (132/238) = 66/119 after simplification.\n</reasoning>\nFinal Answer: 66/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1081. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1081 × 5/100 = 54.05. Total = 1081 + 54.05 = 1135.05.\n</reasoning>\nFinal Answer: 1135.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 13 * 29 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×29=377, then 49+377-34=392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -683 ÷ -240"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -683 by -240. -683 ÷ -240 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:6 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/6, so B = A × (6/50) = 70 × 6/50 = 8.4.\n</reasoning>\nFinal Answer: 8.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:21 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/21, so B = A × (21/13) = 45 × 21/13 = 72.6923.\n</reasoning>\nFinal Answer: 72.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 430 km apart. Their speeds are 109 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+45=154 km/h. Time = 430/154 = 2.7922 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 31 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 39+961-37=963.\n</reasoning>\nFinal Answer: 963"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 97 = 873.\n</reasoning>\nFinal Answer: 873"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 39 + 30 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×39=546 and 30×44=1320, then add: 1866.\n</reasoning>\nFinal Answer: 1866"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 + 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/3 + 8/4. Common denominator = 3. Result = 16/3.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:17 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/17, so B = A × (17/48) = 94 × 17/48 = 33.2917.\n</reasoning>\nFinal Answer: 33.2917"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -144 + 506"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -144 and 506: -144 + 506 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 71 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 71 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 61, 8, 92, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 5 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 5/7. LCD = 7. Result = -2/7.\n</reasoning>\nFinal Answer: -2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:18 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/18, so B = A × (18/43) = 35 × 18/43 = 14.6512.\n</reasoning>\nFinal Answer: 14.6512"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:12 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/12, so B = A × (12/38) = 98 × 12/38 = 30.9474.\n</reasoning>\nFinal Answer: 30.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 11, 13, 14, 17, 19] and B = [1, 5, 6, 7, 11, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 13, 14, 19].\n</reasoning>\nFinal Answer: [2, 3, 13, 14, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:10 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/10, so B = A × (10/31) = 78 × 10/31 = 25.1613.\n</reasoning>\nFinal Answer: 25.1613"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 323."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 323 by smallest primes repeatedly: 323 = 17 × 19.\n</reasoning>\nFinal Answer: 17 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -811 ÷ 10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -811 by 10. -811 ÷ 10 = -82 (integer division).\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -330 + 81"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -330 and 81: -330 + 81 = -249.\n</reasoning>\nFinal Answer: -249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 29 = 841.0.\n</reasoning>\nFinal Answer: 841.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 703 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 703 × (1 + 25/100) = 703 × 1.25 = 878.75.\n</reasoning>\nFinal Answer: 878.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 30 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 30 = 210 worker-days. New time = 210 / 7 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 407 + -996"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 407 and -996: 407 + -996 = -589.\n</reasoning>\nFinal Answer: -589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 40 = 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 30x = 690. Divide by 30: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 393 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 393 × (1 - 75/100) = 393 × 0.25 = 98.25.\n</reasoning>\nFinal Answer: 98.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 37 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+37) × 49 = 1274.0.\n</reasoning>\nFinal Answer: 1274.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -173 - -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -762 from -173: -173 - -762 = 589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate: 8^3"
},
{
"role": "assistant",
"content": "<reasoning>\n8^3 = 8 × 8 × 8 = 512.\n</reasoning>\nFinal Answer: 512"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 161 km apart. Their speeds are 64 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+85=149 km/h. Time = 161/149 = 1.0805 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 75 = 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 9 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 28/60 = 9.4667 hours. Distance = speed × time = 49 × 9.4667 = 463.8667 km.\n</reasoning>\nFinal Answer: 463.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -688 × -242"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -688 by -242: -688 × -242 = 166496.\n</reasoning>\nFinal Answer: 166496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:48 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/48, so B = A × (48/26) = 33 × 48/26 = 60.9231.\n</reasoning>\nFinal Answer: 60.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 405 ÷ 357"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 405 by 357. 405 ÷ 357 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 316 + 906"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 316 and 906: 316 + 906 = 1222.\n</reasoning>\nFinal Answer: 1222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 744 km apart. Their speeds are 61 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+45=106 km/h. Time = 744/106 = 7.0189 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1795. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1795 × 18/100 = 323.1. Total = 1795 + 323.1 = 2118.1.\n</reasoning>\nFinal Answer: 2118.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 47, 42, 32, 47, 81, 62, 96, 21, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 21 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
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