messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 944 ÷ 221"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 944 by 221. 944 ÷ 221 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 549 km apart. Their speeds are 88 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+74=162 km/h. Time = 549/162 = 3.3889 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 8/1. Common denominator = 15. Result = 128/15.\n</reasoning>\nFinal Answer: 128/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 + 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/7 + 6/4. Common denominator = 14. Result = 23/14.\n</reasoning>\nFinal Answer: 23/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 30 * 3 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×3=90, then 46+90-13=123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -609 + -791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -609 and -791: -609 + -791 = -1400.\n</reasoning>\nFinal Answer: -1400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 26 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 26 = 234 worker-days. New time = 234 / 4 = 58.5 days.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -304 - -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from -304: -304 - -23 = -281.\n</reasoning>\nFinal Answer: -281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 418?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 418 = (17/100) × 418 = 71.06.\n</reasoning>\nFinal Answer: 71.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 693 - -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from 693: 693 - -30 = 723.\n</reasoning>\nFinal Answer: 723"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:36 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/36, so B = A × (36/3) = 79 × 36/3 = 948.0.\n</reasoning>\nFinal Answer: 948.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 * 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/9) × (12/16) = (108/144) = 3/4 after simplification.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -318 mod -25"
},
{
"role": "assistant",
"content": "<reasoning>\n-318 mod -25: -318 = -25 × 12 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 63, 82, 101, 120]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 19. Next term = 120 + 19 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:45 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/45, so B = A × (45/26) = 96 × 45/26 = 166.1538.\n</reasoning>\nFinal Answer: 166.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 44 = 40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 2x = -4. Divide by 2: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 20) * (10 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+20)=51, (10-15)=-5, then 51×-5=-255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 22 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+22) × 40 = 500.0.\n</reasoning>\nFinal Answer: 500.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:43 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/43, so B = A × (43/49) = 9 × 43/49 = 7.898.\n</reasoning>\nFinal Answer: 7.898"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 779 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 779 × (1 + 100/100) = 779 × 2.0 = 1558.0.\n</reasoning>\nFinal Answer: 1558.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 69 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(69+7) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 50 = 2050.\n</reasoning>\nFinal Answer: 2050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 33, 54, 9, 14, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 160/6 = 26.6667.\n</reasoning>\nFinal Answer: 26.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 - 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/6 - 12/5. LCD = 30. Result = -17/30.\n</reasoning>\nFinal Answer: -17/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 327 km apart. Their speeds are 54 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+74=128 km/h. Time = 327/128 = 2.5547 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 31 + 50 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×31=434 and 50×42=2100, then add: 2534.\n</reasoning>\nFinal Answer: 2534"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 35 = 760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 29x = 725. Divide by 29: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 8, 46, 86, 96, 21, 9, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 8: 1, 46: 1, 86: 1, 96: 1, 21: 1, 9: 1, 38: 1}. Most frequent: [83, 8, 46, 86, 96, 21, 9, 38].\n</reasoning>\nFinal Answer: [83, 8, 46, 86... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 445 mod -922"
},
{
"role": "assistant",
"content": "<reasoning>\n445 mod -922: 445 = -922 × -1 + -477, so remainder = -477.\n</reasoning>\nFinal Answer: -477"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 25) * (49 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+25)=72, (49-7)=42, then 72×42=3024.\n</reasoning>\nFinal Answer: 3024"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 24 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 24 = 360 worker-days. New time = 360 / 20 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 40 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(40+19) = 2×59 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×35)/1 = 1330.\n</reasoning>\nFinal Answer: 1330"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 19 = 505"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 18x = 486. Divide by 18: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -131 + 215"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -131 and 215: -131 + 215 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 10] and B = [2, 10, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 16].\n</reasoning>\nFinal Answer: [1, 2, 6, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 24, 14, 34, 30, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 24: 1, 14: 1, 34: 1, 30: 1, 44: 1}. Most frequent: [97, 24, 14, 34, 30, 44].\n</reasoning>\nFinal Answer: [97, 24, 14, 34, 30, 44]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 26 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 26 = 104 worker-days. New time = 104 / 16 = 6.5 days.\n</reasoning>\nFinal Answer: 6.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -182 - 423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 423 from -182: -182 - 423 = -605.\n</reasoning>\nFinal Answer: -605"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 73, 79, 20, 68, 83, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 13 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 816 ÷ 961"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 816 by 961. 816 ÷ 961 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 93, 82, 34, 26, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 26 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 12, 98, 53, 45, 39, 66, 30, 44, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 5 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 16, 35, 62, 92, 87, 43, 46, 69, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 529/10 = 52.9.\n</reasoning>\nFinal Answer: 52.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (7/2) = (63/38) = 63/38 after simplification.\n</reasoning>\nFinal Answer: 63/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 - 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/13 - 8/5. LCD = 5. Result = -3/5.\n</reasoning>\nFinal Answer: -3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 33, 22, 12, 27, 78, 48, 13, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 12 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 23 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 4x = 172. Divide by 4: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -42 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 6x = -54. Divide by 6: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 25 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 41+625-2=664.\n</reasoning>\nFinal Answer: 664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 + 7/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/16 + 7/13. Common denominator = 104. Result = 121/104.\n</reasoning>\nFinal Answer: 121/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 * 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/10) × (12/4) = (12/40) = 3/10 after simplification.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -101 - -562"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -562 from -101: -101 - -562 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 4 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 45/60 = 4.7500 hours. Distance = speed × time = 51 × 4.7500 = 242.25 km.\n</reasoning>\nFinal Answer: 242.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 6) * (30 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+6)=15, (30-2)=28, then 15×28=420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 10 = 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 19x = 342. Divide by 19: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 / 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/5) ÷ (17/5) = (5/5) × (5/17) = 5/17.\n</reasoning>\nFinal Answer: 5/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:27 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/27, so B = A × (27/15) = 82 × 27/15 = 147.6.\n</reasoning>\nFinal Answer: 147.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 24) * (36 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+24)=30, (36-27)=9, then 30×9=270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 65 = 4225.\n</reasoning>\nFinal Answer: 4225"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -81 - -473"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -473 from -81: -81 - -473 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 24, 61, 24, 27, 17, 27, 67, 77, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 17 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 * 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/17) × (10/18) = (20/306) = 10/153 after simplification.\n</reasoning>\nFinal Answer: 10/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 44 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(44,136) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 17 = 1598.\n</reasoning>\nFinal Answer: 1598"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -341 ÷ -818"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -341 by -818. -341 ÷ -818 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 10] and B = [3, 5, 11, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 10].\n</reasoning>\nFinal Answer: [7, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -246 ÷ 275"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -246 by 275. -246 ÷ 275 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 71, 45, 32, 60, 50, 41, 93, 69, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 71: 1, 45: 1, 32: 1, 60: 1, 50: 1, 41: 1, 93: 1, 69: 1, 54: 1}. Most frequent: [88, 71, 45, 32, 60, 50, 41, 93, 69, 54].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 9/8. LCD = 8. Result = -7/8.\n</reasoning>\nFinal Answer: -7/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-1)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -1² - 4×1×-90 = 361. √discriminant = 19. x = (-(-1) ± 19) / (2×1). Solutions: x = 10 or x = -9.\n</reasoning>\nFinal Answer: x = 10 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 94, 13, 79, 39, 17, 69, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/8 = 52.625.\n</reasoning>\nFinal Answer: 52.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 38 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 38 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -25 = -1345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 30x = -1320. Divide by 30: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -356 × 372"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -356 by 372: -356 × 372 = -132432.\n</reasoning>\nFinal Answer: -132432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "66 is what percentage of 124?"
},
{
"role": "assistant",
"content": "<reasoning>\n(66/124) × 100 = 53.2258%.\n</reasoning>\nFinal Answer: 53.2258%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 3% of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 835 = (3/100) × 835 = 25.05.\n</reasoning>\nFinal Answer: 25.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -684 mod -968"
},
{
"role": "assistant",
"content": "<reasoning>\n-684 mod -968: -684 = -968 × 0 + -684, so remainder = -684.\n</reasoning>\nFinal Answer: -684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 * 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/11) × (18/20) = (108/220) = 27/55 after simplification.\n</reasoning>\nFinal Answer: 27/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 77 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(77+66) = 2×143 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 38 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+38) × 45 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 967 + -982"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 967 and -982: 967 + -982 = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 360 - -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -110 from 360: 360 - -110 = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 27 + 16 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×27=999 and 16×50=800, then add: 1799.\n</reasoning>\nFinal Answer: 1799"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 25, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 25 + 36 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 61 = 915.0.\n</reasoning>\nFinal Answer: 915.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-22)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -22² - 4×2×36 = 196. √discriminant = 14. x = (-(-22) ± 14) / (2×2). Solutions: x = 2 or x = 9.\n</reasoning>\nFinal Answer: x = 2 or x = 9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 42 km/h. How far does it travel in 3 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 14/60 = 3.2333 hours. Distance = speed × time = 42 × 3.2333 = 135.8 km.\n</reasoning>\nFinal Answer: 135.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 36 * 48 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×48=1728, then 19+1728-7=1740.\n</reasoning>\nFinal Answer: 1740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 690 × -747"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 690 by -747: 690 × -747 = -515430.\n</reasoning>\nFinal Answer: -515430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 97 = 7178.\n</reasoning>\nFinal Answer: 7178"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "126 is what percentage of 388?"
},
{
"role": "assistant",
"content": "<reasoning>\n(126/388) × 100 = 32.4742%.\n</reasoning>\nFinal Answer: 32.4742%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 35 = 1645.\n</reasoning>\nFinal Answer: 1645"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 - 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/8 - 19/15. LCD = 120. Result = 43/120.\n</reasoning>\nFinal Answer: 43/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 32 = 167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 27x = 135. Divide by 27: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 46, 33, 23, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 46: 1, 33: 1, 23: 1, 66: 1}. Most frequent: [30, 46, 33, 23, 66].\n</reasoning>\nFinal Answer: [30, 46, 33, 23, 66]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 137 and 161."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(137,161) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 - 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/16 - 13/16. LCD = 16. Result = -1/2.\n</reasoning>\nFinal Answer: -1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 25 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 8x = 56. Divide by 8: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 436 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 436 × (1 - 100/100) = 436 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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