messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -218 mod 688"
},
{
"role": "assistant",
"content": "<reasoning>\n-218 mod 688: -218 = 688 × -1 + 470, so remainder = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 35 * 29 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×29=1015, then 24+1015-18=1021.\n</reasoning>\nFinal Answer: 1021"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -40 = 663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 19x = 703. Divide by 19: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "30 is what percentage of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n(30/342) × 100 = 8.7719%.\n</reasoning>\nFinal Answer: 8.7719%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 17, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 17 + 22 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "96 is what percentage of 121?"
},
{
"role": "assistant",
"content": "<reasoning>\n(96/121) × 100 = 79.3388%.\n</reasoning>\nFinal Answer: 79.3388%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×18)/1 = 558.\n</reasoning>\nFinal Answer: 558"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 3 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 26/60 = 3.4333 hours. Distance = speed × time = 72 × 3.4333 = 247.2 km.\n</reasoning>\nFinal Answer: 247.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/7 + 2/7. Common denominator = 7. Result = 6/7.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 45 = 237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 12x = 192. Divide by 12: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 32 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 49+1024-15=1058.\n</reasoning>\nFinal Answer: 1058"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 40% of 959?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 959 = (40/100) × 959 = 383.6.\n</reasoning>\nFinal Answer: 383.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -208 ÷ 63"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -208 by 63. -208 ÷ 63 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:39 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/39, so B = A × (39/13) = 88 × 39/13 = 264.0.\n</reasoning>\nFinal Answer: 264.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate: 6^5"
},
{
"role": "assistant",
"content": "<reasoning>\n6^5 = 6 × 6 × 6 × 6 × 6 = 7776.\n</reasoning>\nFinal Answer: 7776"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Decrease 519 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 519 × (1 - 5/100) = 519 × 0.95 = 493.05.\n</reasoning>\nFinal Answer: 493.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 689?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 689 = (10/100) × 689 = 68.9.\n</reasoning>\nFinal Answer: 68.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 16, 70, 93, 33, 58, 25, 52, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 406/9 = 45.1111.\n</reasoning>\nFinal Answer: 45.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 10, 45, 85, 77, 66, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 10: 1, 45: 1, 85: 1, 77: 1, 66: 1, 56: 1}. Most frequent: [14, 10, 45, 85, 77, 66, 56].\n</reasoning>\nFinal Answer: [14, 10, 45, 85, 77, 66... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 671 km apart. Their speeds are 79 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+76=155 km/h. Time = 671/155 = 4.329 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 49 * 24 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×24=1176, then 30+1176-33=1173.\n</reasoning>\nFinal Answer: 1173"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 100% of 942?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 942 = (100/100) × 942 = 942.0.\n</reasoning>\nFinal Answer: 942.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 9, 11, 14] and B = [1, 6, 7, 9, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 14].\n</reasoning>\nFinal Answer: [3, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 49, 13, 32, 74, 72, 51, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 13 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:23 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/23, so B = A × (23/48) = 52 × 23/48 = 24.9167.\n</reasoning>\nFinal Answer: 24.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 - 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/4 - 8/16. LCD = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 34, 37, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 34 + 37 + 38 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 67, 62, 33, 64, 94, 71, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [33, 33, 58, 62, 64, 67, 71, 94]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 56 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 56 × 83 = 4648.\n</reasoning>\nFinal Answer: 4648"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 35 * 13 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×13=455, then 25+455-8=472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 / 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/17) ÷ (4/5) = (13/17) × (5/4) = 65/68.\n</reasoning>\nFinal Answer: 65/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 147 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(147,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 62, 64, 84, 24, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 283/6 = 47.1667.\n</reasoning>\nFinal Answer: 47.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 605 - 799"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 799 from 605: 605 - 799 = -194.\n</reasoning>\nFinal Answer: -194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 7 + 29 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×7=259 and 29×22=638, then add: 897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 34 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 41+1156-1=1196.\n</reasoning>\nFinal Answer: 1196"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 176 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 176 + 171 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 11, 90, 36, 40, 17, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 11 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 976 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 976 × (1 - 5/100) = 976 × 0.95 = 927.2.\n</reasoning>\nFinal Answer: 927.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 39, 45, 32, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 213/5 = 42.6.\n</reasoning>\nFinal Answer: 42.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 373 ÷ -449"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 373 by -449. 373 ÷ -449 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 75 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(75,132) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 27 + 22 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×27=405 and 22×1=22, then add: 427.\n</reasoning>\nFinal Answer: 427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,195) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 45 = 129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 4x = 84. Divide by 4: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 360 ÷ 286"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 360 by 286. 360 ÷ 286 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 7 = 97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 9x = 90. Divide by 9: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 2 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+2) × 38 = 266.0.\n</reasoning>\nFinal Answer: 266.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 1 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 16/60 = 1.2667 hours. Distance = speed × time = 121 × 1.2667 = 153.2667 km.\n</reasoning>\nFinal Answer: 153.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -5 = -396"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 23x = -391. Divide by 23: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 137 km/h. How far does it travel in 9 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 5/60 = 9.0833 hours. Distance = speed × time = 137 × 9.0833 = 1244.4167 km.\n</reasoning>\nFinal Answer: 1244.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 389 - 979"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 979 from 389: 389 - 979 = -590.\n</reasoning>\nFinal Answer: -590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:17 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/17, so B = A × (17/19) = 13 × 17/19 = 11.6316.\n</reasoning>\nFinal Answer: 11.6316"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 43 = -398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 21x = -441. Divide by 21: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 12, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (30-1)×12 = 47 + 348 = 395.\n</reasoning>\nFinal Answer: 395"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -829 × 375"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -829 by 375: -829 × 375 = -310875.\n</reasoning>\nFinal Answer: -310875"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 224 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 224 × (1 - 80/100) = 224 × 0.19999999999999996 = 44.8.\n</reasoning>\nFinal Answer: 44.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 + 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/12 + 6/15. Common denominator = 5. Result = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -402 - 904"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 904 from -402: -402 - 904 = -1306.\n</reasoning>\nFinal Answer: -1306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 134 × -767"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 134 by -767: 134 × -767 = -102778.\n</reasoning>\nFinal Answer: -102778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 8) * (16 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+8)=13, (16-49)=-33, then 13×-33=-429.\n</reasoning>\nFinal Answer: -429"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 - 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/13 - 13/15. LCD = 195. Result = -49/195.\n</reasoning>\nFinal Answer: -49/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 166 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 920 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 920 × (1 - 20/100) = 920 × 0.8 = 736.0.\n</reasoning>\nFinal Answer: 736.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 70, 37, 26, 84, 13, 65, 57, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 70: 1, 37: 1, 26: 1, 84: 1, 13: 1, 65: 1, 57: 1, 73: 1}. Most frequent: [47, 70, 37, 26, 84, 13, 65, 57, 73].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -12 = -387"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 25x = -375. Divide by 25: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 9 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 9 = 45 worker-days. New time = 45 / 19 = 2.3684 days.\n</reasoning>\nFinal Answer: 2.3684"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 7, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (30-1)×7 = 39 + 203 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 89 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 89 + 191 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 13 = -337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 10x = -350. Divide by 10: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 94, 81, 95, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 302/5 = 60.4.\n</reasoning>\nFinal Answer: 60.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 27 + 4 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×27=216 and 4×29=116, then add: 332.\n</reasoning>\nFinal Answer: 332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 28 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -4 = -164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 16x = -160. Divide by 16: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:5 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/5, so B = A × (5/23) = 30 × 5/23 = 6.5217.\n</reasoning>\nFinal Answer: 6.5217"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -41 = 1181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 26x = 1222. Divide by 26: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 584 × -694"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 584 by -694: 584 × -694 = -405296.\n</reasoning>\nFinal Answer: -405296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (18/3) = (2/14) × (3/18) = 1/42.\n</reasoning>\nFinal Answer: 1/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 14 = -1138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 24x = -1152. Divide by 24: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 25 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 25 × 85 = 1062.5.\n</reasoning>\nFinal Answer: 1062.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×28)/2 = 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -15 = 689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 22x = 704. Divide by 22: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 35, 41, 6, 13, 50, 77, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 13, 18, 35, 41, 49, 50, 77]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "92 is what percentage of 144?"
},
{
"role": "assistant",
"content": "<reasoning>\n(92/144) × 100 = 63.8889%.\n</reasoning>\nFinal Answer: 63.8889%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 43, 92, 99, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 43: 1, 92: 1, 99: 1, 34: 1}. Most frequent: [30, 43, 92, 99, 34].\n</reasoning>\nFinal Answer: [30, 43, 92, 99, 34]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 171 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 50 + 18 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×50=1150 and 18×14=252, then add: 1402.\n</reasoning>\nFinal Answer: 1402"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 42 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+42) × 22 = 880.0.\n</reasoning>\nFinal Answer: 880.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 141 km apart. Their speeds are 52 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+101=153 km/h. Time = 141/153 = 0.9216 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 10, 14] and B = [1, 2, 3, 7, 8], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 10, 14].\n</reasoning>\nFinal Answer: [6, 10, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 29, 83, 61, 41, 24, 89, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 24 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 50, 70, 90, 110]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 20. Next term = 110 + 20 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 + 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/13 + 3/9. Common denominator = 39. Result = 37/39.\n</reasoning>\nFinal Answer: 37/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 99 = 7821.\n</reasoning>\nFinal Answer: 7821"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -3 ÷ 257"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -3 by 257. -3 ÷ 257 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 39 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 45+1521-40=1526.\n</reasoning>\nFinal Answer: 1526"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 - 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/18 - 12/7. LCD = 126. Result = -83/126.\n</reasoning>\nFinal Answer: -83/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 390?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 390 = (40/100) × 390 = 156.0.\n</reasoning>\nFinal Answer: 156.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 0 = 448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 28x = 448. Divide by 28: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:31 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/31, so B = A × (31/31) = 20 × 31/31 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"ratio",
"proportion"
] |
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