messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -264 - -792"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -792 from -264: -264 - -792 = 528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 2 = 256.5 days.\n</reasoning>\nFinal Answer: 256.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 47 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 26+2209-2=2233.\n</reasoning>\nFinal Answer: 2233"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 786 km apart. Their speeds are 77 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+74=151 km/h. Time = 786/151 = 5.2053 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 60% of 232?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 232 = (60/100) × 232 = 139.2.\n</reasoning>\nFinal Answer: 139.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 283."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 283 by smallest primes repeatedly: 283 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 15 = 865"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 83 = 332.\n</reasoning>\nFinal Answer: 332"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:14 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/14, so B = A × (14/25) = 100 × 14/25 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹102. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 102 × 28/100 = 28.56. Total = 102 + 28.56 = 130.56.\n</reasoning>\nFinal Answer: 130.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 90, 26, 40, 41, 47, 90, 98, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 520/9 = 57.7778.\n</reasoning>\nFinal Answer: 57.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 6 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 29/60 = 6.4833 hours. Distance = speed × time = 194 × 6.4833 = 1257.7667 km.\n</reasoning>\nFinal Answer: 1257.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 is what percentage of 74?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/74) × 100 = 12.1622%.\n</reasoning>\nFinal Answer: 12.1622%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 13, 14, 15, 16, 18] and B = [5, 7, 10, 15, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 10, 13, 14, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 861 mod 672"
},
{
"role": "assistant",
"content": "<reasoning>\n861 mod 672: 861 = 672 × 1 + 189, so remainder = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -45 = 939"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 24x = 984. Divide by 24: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -9 = 271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 14x = 280. Divide by 14: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 88 = 2816.\n</reasoning>\nFinal Answer: 2816"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 48 + 32 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×48=2400 and 32×49=1568, then add: 3968.\n</reasoning>\nFinal Answer: 3968"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 145 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 145 × (1 + 3/100) = 145 × 1.03 = 149.35.\n</reasoning>\nFinal Answer: 149.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 10 = -1190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 30x = -1200. Divide by 30: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:19 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/19, so B = A × (19/25) = 80 × 19/25 = 60.8.\n</reasoning>\nFinal Answer: 60.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×48)/3 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 13 = -251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 6x = -264. Divide by 6: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 41) * (17 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+41)=69, (17-41)=-24, then 69×-24=-1656.\n</reasoning>\nFinal Answer: -1656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1895. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1895 × 12/100 = 227.4. Total = 1895 + 227.4 = 2122.4.\n</reasoning>\nFinal Answer: 2122.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 150 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 150 + 11 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 5 = 257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 6x = 252. Divide by 6: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/11) ÷ (20/2) = (12/11) × (2/20) = 6/55.\n</reasoning>\nFinal Answer: 6/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 167 × -370"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 167 by -370: 167 × -370 = -61790.\n</reasoning>\nFinal Answer: -61790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 929?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 929 = (60/100) × 929 = 557.4.\n</reasoning>\nFinal Answer: 557.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 10 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+10) × 23 = 391.0.\n</reasoning>\nFinal Answer: 391.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 97, 39, 87, 31, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 39, 73, 85, 87, 97]. Middle value(s) → median = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:30 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/30, so B = A × (30/6) = 57 × 30/6 = 285.0.\n</reasoning>\nFinal Answer: 285.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 22 * 35 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×35=770, then 8+770-27=751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:31 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/31, so B = A × (31/44) = 4 × 31/44 = 2.8182.\n</reasoning>\nFinal Answer: 2.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹820. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 820 × 5/100 = 41.0. Total = 820 + 41.0 = 861.0.\n</reasoning>\nFinal Answer: 861.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:3 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/3, so B = A × (3/28) = 42 × 3/28 = 4.5.\n</reasoning>\nFinal Answer: 4.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 + 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/14 + 17/5. Common denominator = 35. Result = 159/35.\n</reasoning>\nFinal Answer: 159/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 3 = -439"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 13x = -442. Divide by 13: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 78 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(78,19) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 24 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 22x = 66. Divide by 22: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 2 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 17/60 = 2.2833 hours. Distance = speed × time = 136 × 2.2833 = 310.5333 km.\n</reasoning>\nFinal Answer: 310.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 53 ÷ -948"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 53 by -948. 53 ÷ -948 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 30 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 30 = 210 worker-days. New time = 210 / 10 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 88 = 4224.\n</reasoning>\nFinal Answer: 4224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -207 × -680"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -207 by -680: -207 × -680 = 140760.\n</reasoning>\nFinal Answer: 140760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -350 - 947"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 947 from -350: -350 - 947 = -1297.\n</reasoning>\nFinal Answer: -1297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 14 + 21 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×14=448 and 21×19=399, then add: 847.\n</reasoning>\nFinal Answer: 847"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 19 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 23x = 69. Divide by 23: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 34 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 34 × 11 = 374.\n</reasoning>\nFinal Answer: 374"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 3 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 33) * (19 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+33)=40, (19-18)=1, then 40×1=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -71 ÷ -303"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -71 by -303. -71 ÷ -303 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -622 + 403"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -622 and 403: -622 + 403 = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:5 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/5, so B = A × (5/11) = 1 × 5/11 = 0.4545.\n</reasoning>\nFinal Answer: 0.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 88, 66, 97, 37, 21, 95, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 543/8 = 67.875.\n</reasoning>\nFinal Answer: 67.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -264 mod 643"
},
{
"role": "assistant",
"content": "<reasoning>\n-264 mod 643: -264 = 643 × -1 + 379, so remainder = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 26 + 10 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×26=312 and 10×28=280, then add: 592.\n</reasoning>\nFinal Answer: 592"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 63, 99, 15, 37, 74, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 15, 17, 37, 63, 74, 99]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 35 + 3 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×35=1470 and 3×42=126, then add: 1596.\n</reasoning>\nFinal Answer: 1596"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 800 km apart. Their speeds are 48 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+55=103 km/h. Time = 800/103 = 7.767 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 46 = 2254.0.\n</reasoning>\nFinal Answer: 2254.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 24 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+24) × 36 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:18 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/18, so B = A × (18/33) = 57 × 18/33 = 31.0909.\n</reasoning>\nFinal Answer: 31.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:29 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/29, so B = A × (29/41) = 65 × 29/41 = 45.9756.\n</reasoning>\nFinal Answer: 45.9756"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -21 = 51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 3x = 72. Divide by 3: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 33, 72, 56, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [33, 56, 72, 78, 78]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 433 + -441"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 433 and -441: 433 + -441 = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 958?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 958 = (100/100) × 958 = 958.0.\n</reasoning>\nFinal Answer: 958.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 20% of 550?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 550 = (20/100) × 550 = 110.0.\n</reasoning>\nFinal Answer: 110.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 1 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 55/60 = 1.9167 hours. Distance = speed × time = 115 × 1.9167 = 220.4167 km.\n</reasoning>\nFinal Answer: 220.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 27 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+27) × 7 = 206.5.\n</reasoning>\nFinal Answer: 206.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -271 + -900"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -271 and -900: -271 + -900 = -1171.\n</reasoning>\nFinal Answer: -1171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 459 km apart. Their speeds are 112 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+84=196 km/h. Time = 459/196 = 2.3418 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 176 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 64, 84, 104, 124]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 20. Next term = 124 + 20 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹330. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 330 × 18/100 = 59.4. Total = 330 + 59.4 = 389.4.\n</reasoning>\nFinal Answer: 389.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4072. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4072 × 12/100 = 488.64. Total = 4072 + 488.64 = 4560.64.\n</reasoning>\nFinal Answer: 4560.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 45, 90, 6, 30, 79, 30, 34, 90, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 2 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 17, 15, 44, 51, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 17, 44, 51, 96]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 21 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 21 = 189 worker-days. New time = 189 / 6 = 31.5 days.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 / 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/17) ÷ (8/6) = (14/17) × (6/8) = 21/34.\n</reasoning>\nFinal Answer: 21/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 80, 59, 42, 48, 42, 33, 5, 93, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 5 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -285 mod -199"
},
{
"role": "assistant",
"content": "<reasoning>\n-285 mod -199: -285 = -199 × 1 + -86, so remainder = -86.\n</reasoning>\nFinal Answer: -86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/15) ÷ (7/2) = (7/15) × (2/7) = 2/15.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 0 = -748"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 17x = -748. Divide by 17: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 57 and 83."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(57,83) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "144 is what percentage of 980?"
},
{
"role": "assistant",
"content": "<reasoning>\n(144/980) × 100 = 14.6939%.\n</reasoning>\nFinal Answer: 14.6939%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 23 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+23) × 16 = 408.0.\n</reasoning>\nFinal Answer: 408.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 17 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 17 = 34 worker-days. New time = 34 / 10 = 3.4 days.\n</reasoning>\nFinal Answer: 3.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 25, 28, 70, 55, 22, 26, 34, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 5 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 61, 60, 79, 51, 50, 81, 8, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 61: 1, 60: 1, 79: 1, 51: 1, 50: 1, 81: 1, 8: 1, 40: 1}. Most frequent: [72, 61, 60, 79, 51, 50, 81, 8, 40].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 84, 56, 71, 93, 81, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 433/7 = 61.8571.\n</reasoning>\nFinal Answer: 61.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 543 ÷ -84"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 543 by -84. 543 ÷ -84 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 442 - 550"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 550 from 442: 442 - 550 = -108.\n</reasoning>\nFinal Answer: -108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/11 - 4/17. LCD = 187. Result = 58/187.\n</reasoning>\nFinal Answer: 58/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 461."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 461 by smallest primes repeatedly: 461 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 889 ÷ -398"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 889 by -398. 889 ÷ -398 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 - 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/8 - 5/2. LCD = 8. Result = -3/8.\n</reasoning>\nFinal Answer: -3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
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