messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 454 + 384"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 454 and 384: 454 + 384 = 838.\n</reasoning>\nFinal Answer: 838"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 36, 42, 48, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 6. Next term = 54 + 6 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -16 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 1x = -34. Divide by 1: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 15 = 765.\n</reasoning>\nFinal Answer: 765"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 72, 24, 58, 33, 59, 100, 30, 97, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 13 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -17 = -407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 15x = -390. Divide by 15: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -7 = -1177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 30x = -1170. Divide by 30: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 19, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (24-1)×19 = 3 + 437 = 440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -827 - -486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -486 from -827: -827 - -486 = -341.\n</reasoning>\nFinal Answer: -341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 10, 15] and B = [1, 2, 9, 13, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 9, 10, 13, 15, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 7, 9, 10, 13, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 30 * 5 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×5=150, then 41+150-48=143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -344 ÷ 950"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -344 by 950. -344 ÷ 950 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4588. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4588 × 28/100 = 1284.64. Total = 4588 + 1284.64 = 5872.64.\n</reasoning>\nFinal Answer: 5872.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:26 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/26, so B = A × (26/29) = 78 × 26/29 = 69.931.\n</reasoning>\nFinal Answer: 69.931"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 50 = 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -620 + -792"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -620 and -792: -620 + -792 = -1412.\n</reasoning>\nFinal Answer: -1412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 18, 17, 25, 21, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 18: 1, 17: 1, 25: 1, 21: 1, 22: 1}. Most frequent: [87, 18, 17, 25, 21, 22].\n</reasoning>\nFinal Answer: [87, 18, 17, 25, 21, 22]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 26 = 2158.\n</reasoning>\nFinal Answer: 2158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 400 km apart. Their speeds are 40 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+63=103 km/h. Time = 400/103 = 3.8835 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 39 * 32 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×32=1248, then 6+1248-4=1250.\n</reasoning>\nFinal Answer: 1250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 81."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 81: factors are [1, 3, 9, 27, 81].\n</reasoning>\nFinal Answer: [1, 3, 9, 27, 81]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 62, 100, 79, 98, 1, 28, 8, 74, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 62: 1, 100: 1, 79: 1, 98: 1, 1: 1, 28: 1, 8: 1, 74: 1, 51: 1}. Most frequent: [10, 62, 100, 79, 98, 1, 28, 8, 74, 51].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -41 = 401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 26x = 442. Divide by 26: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 804 km apart. Their speeds are 57 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+120=177 km/h. Time = 804/177 = 4.5424 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 35 = 1382.5.\n</reasoning>\nFinal Answer: 1382.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 571 km apart. Their speeds are 117 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+41=158 km/h. Time = 571/158 = 3.6139 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 82, 32, 33, 84, 77, 18, 100, 15, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 300 × 895"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 300 by 895: 300 × 895 = 268500.\n</reasoning>\nFinal Answer: 268500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 29, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 29 + 33 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 52 = 884.0.\n</reasoning>\nFinal Answer: 884.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:37 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/37, so B = A × (37/17) = 66 × 37/17 = 143.6471.\n</reasoning>\nFinal Answer: 143.6471"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 6 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 46/60 = 6.7667 hours. Distance = speed × time = 41 × 6.7667 = 277.4333 km.\n</reasoning>\nFinal Answer: 277.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 82, 66, 51, 67, 2, 29, 54, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 2 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 456 - -779"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -779 from 456: 456 - -779 = 1235.\n</reasoning>\nFinal Answer: 1235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "114 is what percentage of 570?"
},
{
"role": "assistant",
"content": "<reasoning>\n(114/570) × 100 = 20.0%.\n</reasoning>\nFinal Answer: 20.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/14 + 5/3. Common denominator = 42. Result = 79/42.\n</reasoning>\nFinal Answer: 79/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 954 + 875"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 954 and 875: 954 + 875 = 1829.\n</reasoning>\nFinal Answer: 1829"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 39 + 41 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×39=273 and 41×23=943, then add: 1216.\n</reasoning>\nFinal Answer: 1216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 33 + 30 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×33=330 and 30×48=1440, then add: 1770.\n</reasoning>\nFinal Answer: 1770"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 167 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 18 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 18 = 90 worker-days. New time = 90 / 16 = 5.625 days.\n</reasoning>\nFinal Answer: 5.625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 853 + 347"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 853 and 347: 853 + 347 = 1200.\n</reasoning>\nFinal Answer: 1200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 2 * 41 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×41=82, then 3+82-47=38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 6 * 21 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×21=126, then 21+126-35=112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 - 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/9 - 6/2. LCD = 9. Result = -10/9.\n</reasoning>\nFinal Answer: -10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 4 + 48 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×4=168 and 48×22=1056, then add: 1224.\n</reasoning>\nFinal Answer: 1224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:48 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/48, so B = A × (48/47) = 75 × 48/47 = 76.5957.\n</reasoning>\nFinal Answer: 76.5957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "467 is what percentage of 875?"
},
{
"role": "assistant",
"content": "<reasoning>\n(467/875) × 100 = 53.3714%.\n</reasoning>\nFinal Answer: 53.3714%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 12, 76, 5, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 6, 12, 26, 76]. Middle value(s) → median = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 49) * (37 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+49)=64, (37-13)=24, then 64×24=1536.\n</reasoning>\nFinal Answer: 1536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 42 = 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 13x = 598. Divide by 13: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 * 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/17) × (11/12) = (209/204) = 209/204 after simplification.\n</reasoning>\nFinal Answer: 209/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 83 = 954.5.\n</reasoning>\nFinal Answer: 954.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2084. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2084 × 5/100 = 104.2. Total = 2084 + 104.2 = 2188.2.\n</reasoning>\nFinal Answer: 2188.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 * 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/17) × (7/16) = (112/272) = 7/17 after simplification.\n</reasoning>\nFinal Answer: 7/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 89, 6, 64, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 89: 1, 6: 1, 64: 1, 27: 1}. Most frequent: [20, 89, 6, 64, 27].\n</reasoning>\nFinal Answer: [20, 89, 6, 64, 27]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 57 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 - 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/2 - 3/18. LCD = 6. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 * 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/5) × (7/6) = (21/30) = 7/10 after simplification.\n</reasoning>\nFinal Answer: 7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 95 = 4465.\n</reasoning>\nFinal Answer: 4465"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 / 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/18) ÷ (7/14) = (15/18) × (14/7) = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 868 × 787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 868 by 787: 868 × 787 = 683116.\n</reasoning>\nFinal Answer: 683116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 40 = -394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 14x = -434. Divide by 14: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -44 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 8x = 8. Divide by 8: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 7 = 799"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 24x = 792. Divide by 24: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 22, 59, 54, 77, 3, 40, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 3 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 / 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/16) ÷ (16/9) = (15/16) × (9/16) = 135/256.\n</reasoning>\nFinal Answer: 135/256"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -182 - 390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 390 from -182: -182 - 390 = -572.\n</reasoning>\nFinal Answer: -572"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:22 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/22, so B = A × (22/22) = 56 × 22/22 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 25 = -443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 12x = -468. Divide by 12: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+68) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 146 km apart. Their speeds are 61 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+42=103 km/h. Time = 146/103 = 1.4175 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4204. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4204 × 18/100 = 756.72. Total = 4204 + 756.72 = 4960.72.\n</reasoning>\nFinal Answer: 4960.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 19 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+19) × 21 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 40 * 21 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×21=840, then 21+840-13=848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 71 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(71,195) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 15/18. Common denominator = 102. Result = 193/102.\n</reasoning>\nFinal Answer: 193/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 + 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/16 + 11/3. Common denominator = 48. Result = 215/48.\n</reasoning>\nFinal Answer: 215/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 30, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 30 + 33 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 21 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+21) × 8 = 96.0.\n</reasoning>\nFinal Answer: 96.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 552 + -238"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 552 and -238: 552 + -238 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 25 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 6x = 18. Divide by 6: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 69, 17, 45, 72, 59, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 69: 1, 17: 1, 45: 1, 72: 1, 59: 1, 35: 1}. Most frequent: [83, 69, 17, 45, 72, 59, 35].\n</reasoning>\nFinal Answer: [83, 69, 17, 45, 72, 59... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -643 - -424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -424 from -643: -643 - -424 = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:4 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/4, so B = A × (4/20) = 85 × 4/20 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27215 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27215 × 16 × 2 / 100 = 8708.8.\n</reasoning>\nFinal Answer: 8708.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:39 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/39, so B = A × (39/34) = 23 × 39/34 = 26.3824.\n</reasoning>\nFinal Answer: 26.3824"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 611 ÷ -867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 611 by -867. 611 ÷ -867 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 0 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 4x = 92. Divide by 4: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 566 km apart. Their speeds are 54 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+120=174 km/h. Time = 566/174 = 3.2529 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 12, 16] and B = [1, 2, 11, 13, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 16].\n</reasoning>\nFinal Answer: [1, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -209 × 909"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -209 by 909: -209 × 909 = -189981.\n</reasoning>\nFinal Answer: -189981"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/1) × (10/7) = (20/7) = 20/7 after simplification.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 16 + 15 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×16=176 and 15×10=150, then add: 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 100% of 692?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 692 = (100/100) × 692 = 692.0.\n</reasoning>\nFinal Answer: 692.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 901 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 901 × (1 - 17/100) = 901 × 0.83 = 747.83.\n</reasoning>\nFinal Answer: 747.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 - 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/13 - 15/13. LCD = 13. Result = -3/13.\n</reasoning>\nFinal Answer: -3/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 9] and B = [2, 3, 7, 8, 13, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 86, 71, 4, 52, 99, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 34, 52, 60, 71, 86, 99]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 92, 17, 26, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 92: 1, 17: 1, 26: 1, 50: 1}. Most frequent: [55, 92, 17, 26, 50].\n</reasoning>\nFinal Answer: [55, 92, 17, 26, 50]"
}
] | easy | [
"statistics",
"mode"
] |
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