messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 8x + 20 = 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 8x = 208. Divide by 8: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 61, 35, 71, 67, 1, 1, 43, 4, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/10 = 40.1.\n</reasoning>\nFinal Answer: 40.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 10 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 47+100-22=125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -46 = -466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 14x = -420. Divide by 14: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [58, 85, 43, 66, 37, 66, 68, 67, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 37 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 * 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/13) × (15/7) = (75/91) = 75/91 after simplification.\n</reasoning>\nFinal Answer: 75/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 94, 79, 27, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 19 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 / 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/20) ÷ (16/11) = (6/20) × (11/16) = 33/160.\n</reasoning>\nFinal Answer: 33/160"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹707. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 707 × 28/100 = 197.96. Total = 707 + 197.96 = 904.96.\n</reasoning>\nFinal Answer: 904.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 25 = -503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 12x = -528. Divide by 12: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 841 + -22"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 841 and -22: 841 + -22 = 819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 1 = -215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 27x = -216. Divide by 27: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -901 × 505"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -901 by 505: -901 × 505 = -455005.\n</reasoning>\nFinal Answer: -455005"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 95 = 5225.\n</reasoning>\nFinal Answer: 5225"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 * 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/7) × (19/15) = (304/105) = 304/105 after simplification.\n</reasoning>\nFinal Answer: 304/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 16] and B = [1, 6, 10, 13, 14, 16], 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": "Simplify: 16/16 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/16 - 20/15. LCD = 3. Result = -1/3.\n</reasoning>\nFinal Answer: -1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 87 × -282"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 87 by -282: 87 × -282 = -24534.\n</reasoning>\nFinal Answer: -24534"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 47 = -373"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 10x = -420. Divide by 10: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2567. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2567 × 28/100 = 718.76. Total = 2567 + 718.76 = 3285.76.\n</reasoning>\nFinal Answer: 3285.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 111 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 111 × (1 - 7/100) = 111 × 0.9299999999999999 = 103.23.\n</reasoning>\nFinal Answer: 103.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,160) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -4 = -498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 13x = -494. Divide by 13: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 22 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 32+484-3=513.\n</reasoning>\nFinal Answer: 513"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 97, 59, 16, 9, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 16, 24, 59, 65, 97]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 65 = 2697.5.\n</reasoning>\nFinal Answer: 2697.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 - 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/1 - 7/20. LCD = 20. Result = 173/20.\n</reasoning>\nFinal Answer: 173/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 10, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (50-1)×10 = 50 + 490 = 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 32 = -166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 22x = -198. Divide by 22: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 750 × -402"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 750 by -402: 750 × -402 = -301500.\n</reasoning>\nFinal Answer: -301500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 46 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 4x = -12. Divide by 4: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/17 + 1/7. Common denominator = 119. Result = 115/119.\n</reasoning>\nFinal Answer: 115/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 14, 18] and B = [4, 11, 12, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 706 ÷ -575"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 706 by -575. 706 ÷ -575 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 / 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/14) ÷ (6/18) = (16/14) × (18/6) = 24/7.\n</reasoning>\nFinal Answer: 24/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = -1293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = -1260. Divide by 28: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 42 * 4 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×4=168, then 29+168-14=183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 45, 37, 36, 91, 14, 16, 93, 68, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 14, 16, 36, 37, 45, 68, 90, 91, 93]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 * 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/4) × (2/14) = (24/56) = 3/7 after simplification.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 472 - 868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 868 from 472: 472 - 868 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:20 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/20, so B = A × (20/32) = 34 × 20/32 = 21.25.\n</reasoning>\nFinal Answer: 21.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 43 + 38 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×43=430 and 38×11=418, then add: 848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 19] and B = [1, 2, 10, 11, 12, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 8, 10, 11, 12, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 8, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 4 = 11.25 days.\n</reasoning>\nFinal Answer: 11.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 65 + 115"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 65 and 115: 65 + 115 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45785 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45785 × 18 × 9 / 100 = 74171.7.\n</reasoning>\nFinal Answer: 74171.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 99, 28, 98, 21, 60, 25, 55, 87, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 99: 1, 28: 1, 98: 1, 21: 1, 60: 1, 25: 1, 55: 1, 87: 1, 86: 1}. Most frequent: [83, 99, 28, 98, 21, 60, 25, 55, 87, 86].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 105."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 105 by smallest primes repeatedly: 105 = 3 × 5 × 7.\n</reasoning>\nFinal Answer: 3 × 5 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 67, 47, 29, 42, 87, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 29 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -695 mod -337"
},
{
"role": "assistant",
"content": "<reasoning>\n-695 mod -337: -695 = -337 × 2 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:11 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/11, so B = A × (11/12) = 51 × 11/12 = 46.75.\n</reasoning>\nFinal Answer: 46.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 + 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/20 + 5/6. Common denominator = 12. Result = 19/12.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 58 = 1044.0.\n</reasoning>\nFinal Answer: 1044.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 625 km apart. Their speeds are 88 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+51=139 km/h. Time = 625/139 = 4.4964 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 22, 28, 34, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 6. Next term = 40 + 6 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -783 ÷ 529"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -783 by 529. -783 ÷ 529 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 13 * 25 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×25=325, then 16+325-34=307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 77 = 1963.5.\n</reasoning>\nFinal Answer: 1963.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -39 = 561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 15x = 600. Divide by 15: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 53, 58, 76, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 22, 53, 58, 76]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 14 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 14 = 252 worker-days. New time = 252 / 11 = 22.9091 days.\n</reasoning>\nFinal Answer: 22.9091"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 151 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 151 × (1 - 20/100) = 151 × 0.8 = 120.8.\n</reasoning>\nFinal Answer: 120.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 42 + 26 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×42=294 and 26×7=182, then add: 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 3, 25, 72, 18, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 3: 1, 25: 1, 72: 1, 18: 1, 28: 1}. Most frequent: [53, 3, 25, 72, 18, 28].\n</reasoning>\nFinal Answer: [53, 3, 25, 72, 18, 28]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 611 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 611 × (1 - 45/100) = 611 × 0.55 = 336.05.\n</reasoning>\nFinal Answer: 336.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 94, 76, 93, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/5 = 79.2.\n</reasoning>\nFinal Answer: 79.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6791 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6791 × 7 × 2 / 100 = 950.74.\n</reasoning>\nFinal Answer: 950.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 73, 11, 35, 9, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 12, 35, 49, 73]. Middle value(s) → median = 23.5.\n</reasoning>\nFinal Answer: 23.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [100, 52, 96, 48, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {100: 1, 52: 1, 96: 1, 48: 1, 37: 1}. Most frequent: [100, 52, 96, 48, 37].\n</reasoning>\nFinal Answer: [100, 52, 96, 48, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -156 mod 478"
},
{
"role": "assistant",
"content": "<reasoning>\n-156 mod 478: -156 = 478 × -1 + 322, so remainder = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 + 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/14 + 14/20. Common denominator = 70. Result = 37/35.\n</reasoning>\nFinal Answer: 37/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 6 * 46 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×46=276, then 36+276-21=291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 606 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 606 × (1 + 20/100) = 606 × 1.2 = 727.2.\n</reasoning>\nFinal Answer: 727.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 10/11. LCD = 209. Result = -69/209.\n</reasoning>\nFinal Answer: -69/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 11 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 11 × 83 = 913.\n</reasoning>\nFinal Answer: 913"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 35 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 21+1225-20=1226.\n</reasoning>\nFinal Answer: 1226"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 7, 81, 59, 11, 56, 3, 96, 38, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 436/10 = 43.6.\n</reasoning>\nFinal Answer: 43.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 63 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 63 × (1 - 7/100) = 63 × 0.9299999999999999 = 58.59.\n</reasoning>\nFinal Answer: 58.59"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 + 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/17 + 13/7. Common denominator = 119. Result = 333/119.\n</reasoning>\nFinal Answer: 333/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:25 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/25, so B = A × (25/4) = 61 × 25/4 = 381.25.\n</reasoning>\nFinal Answer: 381.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 26 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 26 × (1 - 80/100) = 26 × 0.19999999999999996 = 5.2.\n</reasoning>\nFinal Answer: 5.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 37 * 44 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×44=1628, then 33+1628-17=1644.\n</reasoning>\nFinal Answer: 1644"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 9, 10, 15, 16, 18] and B = [4, 5, 6, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 6, 9, 10, 15, 16, 18].\n</reasoning>\nFinal Answer: [1, 3, 4, 5, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 4 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 45/60 = 4.7500 hours. Distance = speed × time = 49 × 4.7500 = 232.75 km.\n</reasoning>\nFinal Answer: 232.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 263 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 263 × (1 - 3/100) = 263 × 0.97 = 255.11.\n</reasoning>\nFinal Answer: 255.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+12) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹917. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 917 × 12/100 = 110.04. Total = 917 + 110.04 = 1027.04.\n</reasoning>\nFinal Answer: 1027.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:19 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/19, so B = A × (19/16) = 24 × 19/16 = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 30 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(30,4) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 75% of 145?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 145 = (75/100) × 145 = 108.75.\n</reasoning>\nFinal Answer: 108.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:12 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/12, so B = A × (12/38) = 20 × 12/38 = 6.3158.\n</reasoning>\nFinal Answer: 6.3158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 20 = 540.0.\n</reasoning>\nFinal Answer: 540.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1729. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1729 × 12/100 = 207.48. Total = 1729 + 207.48 = 1936.48.\n</reasoning>\nFinal Answer: 1936.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 191 + -88"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 191 and -88: 191 + -88 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 - 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/5 - 6/13. LCD = 65. Result = 126/65.\n</reasoning>\nFinal Answer: 126/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 190 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 190 + 108 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 873?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 873 = (30/100) × 873 = 261.9.\n</reasoning>\nFinal Answer: 261.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 78, 2, 16, 88, 93, 12, 55, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 469/9 = 52.1111.\n</reasoning>\nFinal Answer: 52.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 15/14. Common denominator = 182. Result = 209/182.\n</reasoning>\nFinal Answer: 209/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -44 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 6x = -60. Divide by 6: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
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