messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 50 + 9 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×50=950 and 9×14=126, then add: 1076.\n</reasoning>\nFinal Answer: 1076"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 33, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 33 + 35 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 51, 83, 77, 89, 89, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 51: 1, 83: 1, 77: 1, 89: 2, 59: 1}. Most frequent: 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:28 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/28, so B = A × (28/36) = 68 × 28/36 = 52.8889.\n</reasoning>\nFinal Answer: 52.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 49 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 1x = -12. Divide by 1: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "53 is what percentage of 827?"
},
{
"role": "assistant",
"content": "<reasoning>\n(53/827) × 100 = 6.4087%.\n</reasoning>\nFinal Answer: 6.4087%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 42 = 1806.\n</reasoning>\nFinal Answer: 1806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 8 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 33/60 = 8.5500 hours. Distance = speed × time = 56 × 8.5500 = 478.8 km.\n</reasoning>\nFinal Answer: 478.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:39 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/39, so B = A × (39/20) = 69 × 39/20 = 134.55.\n</reasoning>\nFinal Answer: 134.55"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:27 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/27, so B = A × (27/33) = 81 × 27/33 = 66.2727.\n</reasoning>\nFinal Answer: 66.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 248 + -758"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 248 and -758: 248 + -758 = -510.\n</reasoning>\nFinal Answer: -510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 11, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (16-1)×11 = 4 + 165 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 21 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 21 = 42 worker-days. New time = 42 / 14 = 3.0 days.\n</reasoning>\nFinal Answer: 3.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 518 ÷ -405"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 518 by -405. 518 ÷ -405 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 52 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 52 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -11 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 6x = 84. Divide by 6: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 45 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 33+2025-18=2040.\n</reasoning>\nFinal Answer: 2040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 15, 24, 33, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 9. Next term = 42 + 9 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 458 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 458 × (1 + 12/100) = 458 × 1.12 = 512.96.\n</reasoning>\nFinal Answer: 512.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 83, 36, 6, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 6 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -750 × -242"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -750 by -242: -750 × -242 = 181500.\n</reasoning>\nFinal Answer: 181500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -47 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 3x = 96. Divide by 3: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 102 mod -291"
},
{
"role": "assistant",
"content": "<reasoning>\n102 mod -291: 102 = -291 × -1 + -189, so remainder = -189.\n</reasoning>\nFinal Answer: -189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "93 is what percentage of 144?"
},
{
"role": "assistant",
"content": "<reasoning>\n(93/144) × 100 = 64.5833%.\n</reasoning>\nFinal Answer: 64.5833%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 99, 16, 30, 34, 11, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 16, 30, 34, 41, 43, 99]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 296 km apart. Their speeds are 43 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+69=112 km/h. Time = 296/112 = 2.6429 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "36 is what percentage of 653?"
},
{
"role": "assistant",
"content": "<reasoning>\n(36/653) × 100 = 5.513%.\n</reasoning>\nFinal Answer: 5.513%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 * 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/20) × (6/10) = (96/200) = 12/25 after simplification.\n</reasoning>\nFinal Answer: 12/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 68, 40, 50, 55, 96, 45, 14, 53, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3657 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3657 × 13 × 10 / 100 = 4754.1.\n</reasoning>\nFinal Answer: 4754.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 73 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 73 × (1 + 65/100) = 73 × 1.65 = 120.45.\n</reasoning>\nFinal Answer: 120.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 50 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 50 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 + 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/19 + 19/15. Common denominator = 285. Result = 451/285.\n</reasoning>\nFinal Answer: 451/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:21 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/21, so B = A × (21/9) = 90 × 21/9 = 210.0.\n</reasoning>\nFinal Answer: 210.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34787 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34787 × 1 × 7 / 100 = 2435.09.\n</reasoning>\nFinal Answer: 2435.09"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 377 - -612"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -612 from 377: 377 - -612 = 989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 6 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 10 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 10 = 150 worker-days. New time = 150 / 5 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 46, 78, 1, 91, 24, 71, 14, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 14, 24, 31, 46, 71, 78, 84, 91]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -160 × -867"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -160 by -867: -160 × -867 = 138720.\n</reasoning>\nFinal Answer: 138720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 833 km apart. Their speeds are 91 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+48=139 km/h. Time = 833/139 = 5.9928 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 121 km apart. Their speeds are 118 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+96=214 km/h. Time = 121/214 = 0.5654 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2078 at 7% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2078 × 7 × 6 / 100 = 872.76.\n</reasoning>\nFinal Answer: 872.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 158 mod 422"
},
{
"role": "assistant",
"content": "<reasoning>\n158 mod 422: 158 = 422 × 0 + 158, so remainder = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3274. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3274 × 28/100 = 916.72. Total = 3274 + 916.72 = 4190.72.\n</reasoning>\nFinal Answer: 4190.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (80)x + (300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 80² - 4×5×300 = 400. √discriminant = 20. x = (-(80) ± 20) / (2×5). Solutions: x = -6 or x = -10.\n</reasoning>\nFinal Answer: x = -6 or x = -10... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -10 = 918"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 29x = 928. Divide by 29: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 489 ÷ 761"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 489 by 761. 489 ÷ 761 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 35) * (32 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+35)=39, (32-23)=9, then 39×9=351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -219 mod -967"
},
{
"role": "assistant",
"content": "<reasoning>\n-219 mod -967: -219 = -967 × 0 + -219, so remainder = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 716 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 716 × (1 - 40/100) = 716 × 0.6 = 429.6.\n</reasoning>\nFinal Answer: 429.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 317 ÷ 319"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 317 by 319. 317 ÷ 319 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (14/6) = (252/12) = 21 after simplification.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 172 km apart. Their speeds are 94 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+83=177 km/h. Time = 172/177 = 0.9718 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:32 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/32, so B = A × (32/38) = 66 × 32/38 = 55.5789.\n</reasoning>\nFinal Answer: 55.5789"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 46 = 321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 11x = 275. Divide by 11: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 16 = 191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 7x = 175. Divide by 7: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 51, 47, 82, 15, 59, 96, 20, 87, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 51: 1, 47: 1, 82: 1, 15: 1, 59: 1, 96: 1, 20: 1, 87: 1, 19: 1}. Most frequent: [33, 51, 47, 82, 15, 59, 96, 20, 87, 19].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 32, 32, 78, 24, 95, 62, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 24 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 / 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/11) ÷ (11/11) = (12/11) × (11/11) = 12/11.\n</reasoning>\nFinal Answer: 12/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 61, 23, 46, 92, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 61: 1, 23: 1, 46: 1, 92: 2}. Most frequent: 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 950 - 391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 391 from 950: 950 - 391 = 559.\n</reasoning>\nFinal Answer: 559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 523 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 523 × (1 - 60/100) = 523 × 0.4 = 209.2.\n</reasoning>\nFinal Answer: 209.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:29 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/29, so B = A × (29/29) = 42 × 29/29 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 990 ÷ -726"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 990 by -726. 990 ÷ -726 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 23 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 23 = 414 worker-days. New time = 414 / 13 = 31.8462 days.\n</reasoning>\nFinal Answer: 31.8462"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 7 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 12x = -12. Divide by 12: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 12 + 33 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×12=468 and 33×44=1452, then add: 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 18, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (19-1)×18 = 17 + 324 = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 13 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+13) × 50 = 1300.0.\n</reasoning>\nFinal Answer: 1300.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 97."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,97) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -869 ÷ 591"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -869 by 591. -869 ÷ 591 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 36 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 39+1296-38=1297.\n</reasoning>\nFinal Answer: 1297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13153 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13153 × 6 × 9 / 100 = 7102.62.\n</reasoning>\nFinal Answer: 7102.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 45 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 44+2025-26=2043.\n</reasoning>\nFinal Answer: 2043"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 - 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/20 - 8/1. LCD = 20. Result = -147/20.\n</reasoning>\nFinal Answer: -147/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 17 = -323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 10x = -340. Divide by 10: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 33 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 6x = 72. Divide by 6: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 + 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/20 + 2/17. Common denominator = 17. Result = 19/17.\n</reasoning>\nFinal Answer: 19/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 38 = 1216.\n</reasoning>\nFinal Answer: 1216"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 58, 25, 45, 44, 39, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 313/7 = 44.7143.\n</reasoning>\nFinal Answer: 44.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 19 + 30 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×19=323 and 30×40=1200, then add: 1523.\n</reasoning>\nFinal Answer: 1523"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 3 = 663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 15x = 660. Divide by 15: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 33, 68, 39, 13, 21, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 13, 21, 33, 39, 68]. Middle value(s) → median = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 20/7. LCD = 77. Result = -101/77.\n</reasoning>\nFinal Answer: -101/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 22, 42, 62, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 20. Next term = 82 + 20 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 62, 56, 62, 17, 79, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 17 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "100 is what percentage of 591?"
},
{
"role": "assistant",
"content": "<reasoning>\n(100/591) × 100 = 16.9205%.\n</reasoning>\nFinal Answer: 16.9205%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -507 + -950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -507 and -950: -507 + -950 = -1457.\n</reasoning>\nFinal Answer: -1457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10468 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10468 × 6 × 9 / 100 = 5652.72.\n</reasoning>\nFinal Answer: 5652.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 29 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 1x = 26. Divide by 1: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 915 × -284"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 915 by -284: 915 × -284 = -259860.\n</reasoning>\nFinal Answer: -259860"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 41 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 17 = 1173.\n</reasoning>\nFinal Answer: 1173"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 * 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/15) × (3/20) = (45/300) = 3/20 after simplification.\n</reasoning>\nFinal Answer: 3/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/11) × (13/18) = (208/198) = 104/99 after simplification.\n</reasoning>\nFinal Answer: 104/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 699 + 902"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 699 and 902: 699 + 902 = 1601.\n</reasoning>\nFinal Answer: 1601"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25238 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25238 × 2 × 4 / 100 = 2019.04.\n</reasoning>\nFinal Answer: 2019.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 650 - 566"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 566 from 650: 650 - 566 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -17 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 19x = 38. Divide by 19: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
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