messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 20 + 1 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×20=780 and 1×14=14, then add: 794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+69) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 26 = 455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 13x = 429. Divide by 13: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 10, 37, 28, 79, 74, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 10 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 29 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 29 = 348 worker-days. New time = 348 / 19 = 18.3158 days.\n</reasoning>\nFinal Answer: 18.3158"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 3% of 70?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 70 = (3/100) × 70 = 2.1.\n</reasoning>\nFinal Answer: 2.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+40) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 477 mod 896"
},
{
"role": "assistant",
"content": "<reasoning>\n477 mod 896: 477 = 896 × 0 + 477, so remainder = 477.\n</reasoning>\nFinal Answer: 477"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:45 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/45, so B = A × (45/11) = 38 × 45/11 = 155.4545.\n</reasoning>\nFinal Answer: 155.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 1 + 10 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×1=16 and 10×41=410, then add: 426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -41 = -524"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 23x = -483. Divide by 23: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 488 = (40/100) × 488 = 195.2.\n</reasoning>\nFinal Answer: 195.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 681 × 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 681 by 30: 681 × 30 = 20430.\n</reasoning>\nFinal Answer: 20430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 10 * 32 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×32=320, then 3+320-31=292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 3) * (5 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+3)=15, (5-14)=-9, then 15×-9=-135.\n</reasoning>\nFinal Answer: -135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 6 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(6+58) = 2×64 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:35 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/35, so B = A × (35/10) = 30 × 35/10 = 105.0.\n</reasoning>\nFinal Answer: 105.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 / 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/8) ÷ (14/19) = (19/8) × (19/14) = 361/112.\n</reasoning>\nFinal Answer: 361/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 14 + 49 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×14=70 and 49×17=833, then add: 903.\n</reasoning>\nFinal Answer: 903"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 95 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 95 × (1 - 30/100) = 95 × 0.7 = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -968 + -939"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -968 and -939: -968 + -939 = -1907.\n</reasoning>\nFinal Answer: -1907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 52 = 858.0.\n</reasoning>\nFinal Answer: 858.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 21 = 65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 2x = 44. Divide by 2: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 32) * (6 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+32)=82, (6-26)=-20, then 82×-20=-1640.\n</reasoning>\nFinal Answer: -1640"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 21 = -669"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 15x = -690. Divide by 15: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 / 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/1) ÷ (18/20) = (9/1) × (20/18) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 66 = 2343.0.\n</reasoning>\nFinal Answer: 2343.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 96, 81, 7, 69, 42, 87, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 10, 42, 69, 81, 83, 87, 96]. Middle value(s) → median = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 7, 11, 15, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 4. Next term = 19 + 4 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 82, 73, 12, 15, 8, 62, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 303/8 = 37.875.\n</reasoning>\nFinal Answer: 37.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 16 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 16 = 320 worker-days. New time = 320 / 7 = 45.7143 days.\n</reasoning>\nFinal Answer: 45.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 37 + 1000"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 37 and 1000: 37 + 1000 = 1037.\n</reasoning>\nFinal Answer: 1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 - 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/8 - 12/6. LCD = 8. Result = -1/8.\n</reasoning>\nFinal Answer: -1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 21 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 45+441-2=484.\n</reasoning>\nFinal Answer: 484"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -25 = 22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 1x = 47. Divide by 1: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 89 km/h. How far does it travel in 9 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 33/60 = 9.5500 hours. Distance = speed × time = 89 × 9.5500 = 849.95 km.\n</reasoning>\nFinal Answer: 849.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (9/20) = (27/360) = 3/40 after simplification.\n</reasoning>\nFinal Answer: 3/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 18 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 42+324-26=340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 89 = 2670.0.\n</reasoning>\nFinal Answer: 2670.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 5, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (14-1)×5 = 3 + 65 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 451 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 451 × (1 + 30/100) = 451 × 1.3 = 586.3.\n</reasoning>\nFinal Answer: 586.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (36)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 36² - 4×4×80 = 16. √discriminant = 4. x = (-(36) ± 4) / (2×4). Solutions: x = -4 or x = -5.\n</reasoning>\nFinal Answer: x = -4 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 45) * (10 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+45)=82, (10-1)=9, then 82×9=738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 44, 54, 61, 93, 55, 67, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 44: 1, 54: 1, 61: 1, 93: 1, 55: 1, 67: 1, 97: 1}. Most frequent: [19, 44, 54, 61, 93, 55, 67, 97].\n</reasoning>\nFinal Answer: [19, 44,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 20 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 14 + 15 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×14=98 and 15×13=195, then add: 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 23 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 13x = -260. Divide by 13: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -925 - -869"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -869 from -925: -925 - -869 = -56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 58, 54, 32, 4, 33, 55, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 279/8 = 34.875.\n</reasoning>\nFinal Answer: 34.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 64 = 4416.\n</reasoning>\nFinal Answer: 4416"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 229 + 70"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 229 and 70: 229 + 70 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 24, 35, 54, 100, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 24: 1, 35: 1, 54: 1, 100: 1, 87: 1}. Most frequent: [40, 24, 35, 54, 100, 87].\n</reasoning>\nFinal Answer: [40, 24, 35, 54, 100, 87]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 130 × -23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 130 by -23: 130 × -23 = -2990.\n</reasoning>\nFinal Answer: -2990"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 91 = 8554.\n</reasoning>\nFinal Answer: 8554"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 - 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/5 - 9/16. LCD = 80. Result = 147/80.\n</reasoning>\nFinal Answer: 147/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -435 - -175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -175 from -435: -435 - -175 = -260.\n</reasoning>\nFinal Answer: -260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 159?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 159 = (100/100) × 159 = 159.0.\n</reasoning>\nFinal Answer: 159.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -39 = 1203"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 27x = 1242. Divide by 27: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:36 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/36, so B = A × (36/31) = 100 × 36/31 = 116.129.\n</reasoning>\nFinal Answer: 116.129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 3, 59, 92, 45, 21, 8, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/8 = 46.875.\n</reasoning>\nFinal Answer: 46.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -472 × 232"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -472 by 232: -472 × 232 = -109504.\n</reasoning>\nFinal Answer: -109504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "406 is what percentage of 505?"
},
{
"role": "assistant",
"content": "<reasoning>\n(406/505) × 100 = 80.396%.\n</reasoning>\nFinal Answer: 80.396%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 679 ÷ -758"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 679 by -758. 679 ÷ -758 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 17 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 17 = 34 worker-days. New time = 34 / 12 = 2.8333 days.\n</reasoning>\nFinal Answer: 2.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 38 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 38 × 66 = 2508.\n</reasoning>\nFinal Answer: 2508"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 12 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 12 × 30 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 44 = 269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 15x = 225. Divide by 15: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 + 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/13 + 16/7. Common denominator = 91. Result = 334/91.\n</reasoning>\nFinal Answer: 334/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1138. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1138 × 12/100 = 136.56. Total = 1138 + 136.56 = 1274.56.\n</reasoning>\nFinal Answer: 1274.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -55 + 64"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -55 and 64: -55 + 64 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 30, 39, 18, 55, 77, 84, 54, 95, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 30, 39, 54, 55, 71, 77, 81, 84, 95]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×22)/1 = 946.\n</reasoning>\nFinal Answer: 946"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -981 ÷ -870"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -981 by -870. -981 ÷ -870 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 696 × 208"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 696 by 208: 696 × 208 = 144768.\n</reasoning>\nFinal Answer: 144768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 13 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+13) × 26 = 546.0.\n</reasoning>\nFinal Answer: 546.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 26, 73, 61, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 26 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 * 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/1) × (1/5) = (20/5) = 4 after simplification.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "280 is what percentage of 321?"
},
{
"role": "assistant",
"content": "<reasoning>\n(280/321) × 100 = 87.2274%.\n</reasoning>\nFinal Answer: 87.2274%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 317 km apart. Their speeds are 98 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+47=145 km/h. Time = 317/145 = 2.1862 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 35) * (1 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+35)=79, (1-37)=-36, then 79×-36=-2844.\n</reasoning>\nFinal Answer: -2844"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -807 + -713"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -807 and -713: -807 + -713 = -1520.\n</reasoning>\nFinal Answer: -1520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:35 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/35, so B = A × (35/33) = 75 × 35/33 = 79.5455.\n</reasoning>\nFinal Answer: 79.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -699 - 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 52 from -699: -699 - 52 = -751.\n</reasoning>\nFinal Answer: -751"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 3, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (21-1)×3 = 26 + 60 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 53, 96, 79, 99, 9, 95, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 515/8 = 64.375.\n</reasoning>\nFinal Answer: 64.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:28 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/28, so B = A × (28/46) = 23 × 28/46 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 9, 13, 14, 15, 17] and B = [4, 8, 14, 15, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 14, 15].\n</reasoning>\nFinal Answer: [8, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 53, 58, 23, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 23 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 29 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 27x = -162. Divide by 27: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 27 + 9 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×27=1296 and 9×6=54, then add: 1350.\n</reasoning>\nFinal Answer: 1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,175) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/15) ÷ (20/13) = (8/15) × (13/20) = 26/75.\n</reasoning>\nFinal Answer: 26/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -62 ÷ -394"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -62 by -394. -62 ÷ -394 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 + 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/6 + 19/3. Common denominator = 6. Result = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 318 - -878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -878 from 318: 318 - -878 = 1196.\n</reasoning>\nFinal Answer: 1196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 28 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+28) × 17 = 459.0.\n</reasoning>\nFinal Answer: 459.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:14 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/14, so B = A × (14/16) = 73 × 14/16 = 63.875.\n</reasoning>\nFinal Answer: 63.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 21 = -1131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 24x = -1152. Divide by 24: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 714 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 714 × (1 + 10/100) = 714 × 1.1 = 785.4.\n</reasoning>\nFinal Answer: 785.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×27)/3 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"number_theory",
"lcm"
] |
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