messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [91, 25, 56, 77, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 25: 1, 56: 1, 77: 1, 9: 1}. Most frequent: [91, 25, 56, 77, 9].\n</reasoning>\nFinal Answer: [91, 25, 56, 77, 9]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "142 is what percentage of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n(142/796) × 100 = 17.8392%.\n</reasoning>\nFinal Answer: 17.8392%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 8 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+8) × 8 = 144.0.\n</reasoning>\nFinal Answer: 144.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 40 = 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 3x = 42. Divide by 3: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 - 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/18 - 20/8. LCD = 18. Result = -19/9.\n</reasoning>\nFinal Answer: -19/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 37 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 21x = 462. Divide by 21: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 325 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 325 × (1 + 80/100) = 325 × 1.8 = 585.0.\n</reasoning>\nFinal Answer: 585.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 135 apples and buys 71 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 135 + 71 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 10 = 634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 13x = 624. Divide by 13: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 + 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/6 + 7/12. Common denominator = 12. Result = 11/4.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 821 + -699"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 821 and -699: 821 + -699 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 11 + 25 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×11=363 and 25×28=700, then add: 1063.\n</reasoning>\nFinal Answer: 1063"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 14/14. Common denominator = 4. Result = 5/4.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 81, 7, 31, 31, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/6 = 44.3333.\n</reasoning>\nFinal Answer: 44.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -41 = -170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 3x = -129. Divide by 3: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3686. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3686 × 28/100 = 1032.08. Total = 3686 + 1032.08 = 4718.08.\n</reasoning>\nFinal Answer: 4718.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:24 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/24, so B = A × (24/40) = 48 × 24/40 = 28.8.\n</reasoning>\nFinal Answer: 28.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 909 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 909 × (1 - 12/100) = 909 × 0.88 = 799.92.\n</reasoning>\nFinal Answer: 799.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 3 = -489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 12x = -492. Divide by 12: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 56, 59, 40, 98, 28, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 28 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 16) * (20 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+16)=48, (20-4)=16, then 48×16=768.\n</reasoning>\nFinal Answer: 768"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 13 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 13 = 260 worker-days. New time = 260 / 4 = 65.0 days.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 957 + 769"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 957 and 769: 957 + 769 = 1726.\n</reasoning>\nFinal Answer: 1726"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 58, 75, 92, 109]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 17. Next term = 109 + 17 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 7, 8, 9, 14, 16] and B = [2, 5, 6, 11, 13, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 5, 7, 8, 9, 11, 13, 15, 16].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:46 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/46, so B = A × (46/5) = 86 × 46/5 = 791.2.\n</reasoning>\nFinal Answer: 791.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 190 - 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 145 from 190: 190 - 145 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -371 - -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -912 from -371: -371 - -912 = 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:23 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/23, so B = A × (23/12) = 77 × 23/12 = 147.5833.\n</reasoning>\nFinal Answer: 147.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 664 - -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -107 from 664: 664 - -107 = 771.\n</reasoning>\nFinal Answer: 771"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1725. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1725 × 12/100 = 207.0. Total = 1725 + 207.0 = 1932.0.\n</reasoning>\nFinal Answer: 1932.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 993 × 122"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 993 by 122: 993 × 122 = 121146.\n</reasoning>\nFinal Answer: 121146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 100, 10, 37, 60, 38, 81, 82, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 35, 37, 38, 55, 60, 81, 82, 100]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "220 is what percentage of 617?"
},
{
"role": "assistant",
"content": "<reasoning>\n(220/617) × 100 = 35.6564%.\n</reasoning>\nFinal Answer: 35.6564%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -47 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 4x = -120. Divide by 4: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:27 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/27, so B = A × (27/14) = 30 × 27/14 = 57.8571.\n</reasoning>\nFinal Answer: 57.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/12) × (11/18) = (110/216) = 55/108 after simplification.\n</reasoning>\nFinal Answer: 55/108"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [62, 25, 58, 97, 99, 85, 37, 8, 32, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {62: 1, 25: 1, 58: 1, 97: 1, 99: 1, 85: 1, 37: 1, 8: 1, 32: 1, 19: 1}. Most frequent: [62, 25, 58, 97, 99, 85, 37, 8, 32, 19].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×34)/2 = 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 40 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 26+1600-3=1623.\n</reasoning>\nFinal Answer: 1623"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 135 - 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 463 from 135: 135 - 463 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -460 ÷ 639"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -460 by 639. -460 ÷ 639 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 67, 96, 26, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 67: 1, 96: 1, 26: 1, 27: 1}. Most frequent: [35, 67, 96, 26, 27].\n</reasoning>\nFinal Answer: [35, 67, 96, 26, 27]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 38, 84, 75, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 38, 65, 75, 84]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 10, 13, 14, 15, 18] and B = [2, 4, 11, 13, 14, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 10, 18].\n</reasoning>\nFinal Answer: [9, 10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 9/4. Common denominator = 4. Result = 13/4.\n</reasoning>\nFinal Answer: 13/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -950 + -470"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -950 and -470: -950 + -470 = -1420.\n</reasoning>\nFinal Answer: -1420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 29 = 391.5.\n</reasoning>\nFinal Answer: 391.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 972 km apart. Their speeds are 58 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+88=146 km/h. Time = 972/146 = 6.6575 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 507 + 656"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 507 and 656: 507 + 656 = 1163.\n</reasoning>\nFinal Answer: 1163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 24, 26, 14, 44, 54, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 271/7 = 38.7143.\n</reasoning>\nFinal Answer: 38.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 232 mod -948"
},
{
"role": "assistant",
"content": "<reasoning>\n232 mod -948: 232 = -948 × -1 + -716, so remainder = -716.\n</reasoning>\nFinal Answer: -716"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 62 = 1984.\n</reasoning>\nFinal Answer: 1984"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 937 km apart. Their speeds are 87 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+93=180 km/h. Time = 937/180 = 5.2056 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 375 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 375 × (1 + 15/100) = 375 × 1.15 = 431.25.\n</reasoning>\nFinal Answer: 431.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -86 mod -67"
},
{
"role": "assistant",
"content": "<reasoning>\n-86 mod -67: -86 = -67 × 1 + -19, so remainder = -19.\n</reasoning>\nFinal Answer: -19"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 62, 9, 8, 70, 76, 30, 46, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 48, 64, 80, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 16. Next term = 96 + 16 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 868 - -995"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -995 from 868: 868 - -995 = 1863.\n</reasoning>\nFinal Answer: 1863"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -15 = -435"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 21x = -420. Divide by 21: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 - 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/15 - 15/2. LCD = 30. Result = -191/30.\n</reasoning>\nFinal Answer: -191/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 61 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 61 + 36 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×28)/1 = 1092.\n</reasoning>\nFinal Answer: 1092"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 43 = -437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 24x = -480. Divide by 24: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 170 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 734?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 734 = (30/100) × 734 = 220.2.\n</reasoning>\nFinal Answer: 220.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 20, 76, 52, 82, 12, 85, 2, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 20: 1, 76: 1, 52: 1, 82: 1, 12: 1, 85: 1, 2: 1, 79: 1}. Most frequent: [69, 20, 76, 52, 82, 12, 85, 2, 79].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 5 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 + 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/15 + 19/17. Common denominator = 255. Result = 523/255.\n</reasoning>\nFinal Answer: 523/255"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 12, 13, 14, 15, 17, 19] and B = [1, 2, 6, 8, 12, 13, 14, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 8, 12, 13, 14, 15, 17, 18, 19].\n</reasoning>\nFinal ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:20 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/20, so B = A × (20/14) = 79 × 20/14 = 112.8571.\n</reasoning>\nFinal Answer: 112.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 19 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+19) × 25 = 525.0.\n</reasoning>\nFinal Answer: 525.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 69 = 6624.\n</reasoning>\nFinal Answer: 6624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 72 × -644"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 72 by -644: 72 × -644 = -46368.\n</reasoning>\nFinal Answer: -46368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 49 = -191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 20x = -240. Divide by 20: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×49)/1 = 833.\n</reasoning>\nFinal Answer: 833"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 + 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/2 + 5/14. Common denominator = 14. Result = 27/7.\n</reasoning>\nFinal Answer: 27/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 * 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/10) × (3/7) = (3/70) = 3/70 after simplification.\n</reasoning>\nFinal Answer: 3/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 + 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/13 + 4/15. Common denominator = 195. Result = 262/195.\n</reasoning>\nFinal Answer: 262/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 912 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 912 × (1 + 80/100) = 912 × 1.8 = 1641.6.\n</reasoning>\nFinal Answer: 1641.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 332 × -726"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 332 by -726: 332 × -726 = -241032.\n</reasoning>\nFinal Answer: -241032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 29 * 26 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×26=754, then 26+754-3=777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 30 + 33 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×30=840 and 33×48=1584, then add: 2424.\n</reasoning>\nFinal Answer: 2424"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 11, 14, 16, 19] and B = [3, 4, 5, 6, 7, 8, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 11, 14, 16].\n</reasoning>\nFinal Answer: [9, 11, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43233 at 11% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43233 × 11 × 10 / 100 = 47556.3.\n</reasoning>\nFinal Answer: 47556.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -47 = 385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 12x = 432. Divide by 12: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -696 - 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 415 from -696: -696 - 415 = -1111.\n</reasoning>\nFinal Answer: -1111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 - 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/11 - 2/17. LCD = 187. Result = 250/187.\n</reasoning>\nFinal Answer: 250/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-36)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×4×32 = 784. √discriminant = 28. x = (-(-36) ± 28) / (2×4). Solutions: x = 8 or x = 1.\n</reasoning>\nFinal Answer: x = 8 or x = 1"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 52, 57, 48, 67, 14, 43, 97, 53, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 523/10 = 52.3.\n</reasoning>\nFinal Answer: 52.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:13 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/13, so B = A × (13/22) = 66 × 13/22 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 25 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 20x = -40. Divide by 20: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 41 + 39 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×41=1599 and 39×24=936, then add: 2535.\n</reasoning>\nFinal Answer: 2535"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39636 at 5% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39636 × 5 × 2 / 100 = 3963.6.\n</reasoning>\nFinal Answer: 3963.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 13 * 5 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×5=65, then 40+65-45=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26010 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26010 × 4 × 10 / 100 = 10404.0.\n</reasoning>\nFinal Answer: 10404.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 5 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 33/60 = 5.5500 hours. Distance = speed × time = 76 × 5.5500 = 421.8 km.\n</reasoning>\nFinal Answer: 421.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -19 = 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:30 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/30, so B = A × (30/44) = 37 × 30/44 = 25.2273.\n</reasoning>\nFinal Answer: 25.2273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/17) × (13/18) = (182/306) = 91/153 after simplification.\n</reasoning>\nFinal Answer: 91/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
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