messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×9)/9 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 13, 15, 18, 19] and B = [1, 3, 6, 7, 10, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 7, 15].\n</reasoning>\nFinal Answer: [3, 7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 981 ÷ 757"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 981 by 757. 981 ÷ 757 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 / 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/15) ÷ (16/3) = (15/15) × (3/16) = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2949. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2949 × 28/100 = 825.72. Total = 2949 + 825.72 = 3774.72.\n</reasoning>\nFinal Answer: 3774.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2552. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2552 × 18/100 = 459.36. Total = 2552 + 459.36 = 3011.36.\n</reasoning>\nFinal Answer: 3011.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 258 + -930"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 258 and -930: 258 + -930 = -672.\n</reasoning>\nFinal Answer: -672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -579 + 316"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -579 and 316: -579 + 316 = -263.\n</reasoning>\nFinal Answer: -263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 962 - -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -825 from 962: 962 - -825 = 1787.\n</reasoning>\nFinal Answer: 1787"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -33 = 174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 23x = 207. Divide by 23: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 15, 81, 51, 24, 47, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 309/7 = 44.1429.\n</reasoning>\nFinal Answer: 44.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 99, 26, 21, 98, 65, 2, 62, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 99: 1, 26: 1, 21: 1, 98: 1, 65: 1, 2: 1, 62: 1, 55: 1}. Most frequent: [14, 99, 26, 21, 98, 65, 2, 62, 55].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+86) = 2×173 = 346.\n</reasoning>\nFinal Answer: 346"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -30 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 26x = 286. Divide by 26: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 43 * 36 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×36=1548, then 23+1548-33=1538.\n</reasoning>\nFinal Answer: 1538"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:40 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/40, so B = A × (40/23) = 58 × 40/23 = 100.8696.\n</reasoning>\nFinal Answer: 100.8696"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -415 mod -767"
},
{
"role": "assistant",
"content": "<reasoning>\n-415 mod -767: -415 = -767 × 0 + -415, so remainder = -415.\n</reasoning>\nFinal Answer: -415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 19 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 19 + 133 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 11/4. LCD = 4. Result = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 84 = 1890.0.\n</reasoning>\nFinal Answer: 1890.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -786 - 378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 378 from -786: -786 - 378 = -1164.\n</reasoning>\nFinal Answer: -1164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 14, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (34-1)×14 = 5 + 462 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 2 = -628"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 21x = -630. Divide by 21: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 8 = 744.\n</reasoning>\nFinal Answer: 744"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 15 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 5x = 65. Divide by 5: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×36)/1 = 1548.\n</reasoning>\nFinal Answer: 1548"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 5, 6, 12, 16, 17] and B = [4, 7, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 5, 6, 12, 16, 17].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 12, 16, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:7 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/7, so B = A × (7/41) = 91 × 7/41 = 15.5366.\n</reasoning>\nFinal Answer: 15.5366"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 346 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n346 mod -462: 346 = -462 × -1 + -116, so remainder = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:47 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/47, so B = A × (47/6) = 57 × 47/6 = 446.5.\n</reasoning>\nFinal Answer: 446.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 47 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 21x = 21. Divide by 21: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 11 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 26/60 = 11.4333 hours. Distance = speed × time = 57 × 11.4333 = 651.7 km.\n</reasoning>\nFinal Answer: 651.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 862 + 860"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 862 and 860: 862 + 860 = 1722.\n</reasoning>\nFinal Answer: 1722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 11, 14] and B = [5, 8, 10, 11, 12, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 30 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 30 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -913 ÷ 253"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -913 by 253. -913 ÷ 253 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -239 + 35"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -239 and 35: -239 + 35 = -204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -240 + -641"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -240 and -641: -240 + -641 = -881.\n</reasoning>\nFinal Answer: -881"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -22 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 18x = 90. Divide by 18: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 10, 12, 13, 14, 18, 19] and B = [2, 3, 6, 7, 10, 12, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 6, 13, 14, 16, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -11 = -197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 6x = -186. Divide by 6: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 96 = 6528.\n</reasoning>\nFinal Answer: 6528"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -584 + 5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -584 and 5: -584 + 5 = -579.\n</reasoning>\nFinal Answer: -579"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -47 = -47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -68 + 939"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -68 and 939: -68 + 939 = 871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 458 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 458 × (1 - 3/100) = 458 × 0.97 = 444.26.\n</reasoning>\nFinal Answer: 444.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 26 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 49+676-41=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 68, 47, 10, 51, 71, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 411/7 = 58.7143.\n</reasoning>\nFinal Answer: 58.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 90, 12, 76, 73, 79, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 500/7 = 71.4286.\n</reasoning>\nFinal Answer: 71.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 184 km/h. How far does it travel in 4 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 14/60 = 4.2333 hours. Distance = speed × time = 184 × 4.2333 = 778.9333 km.\n</reasoning>\nFinal Answer: 778.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/19) × (12/7) = (144/133) = 144/133 after simplification.\n</reasoning>\nFinal Answer: 144/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 88?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 88 = (35/100) × 88 = 30.8.\n</reasoning>\nFinal Answer: 30.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -9 = -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 14x = -238. Divide by 14: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = -442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = -400. Divide by 10: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 20 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 20 × 19 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 951 × 700"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 951 by 700: 951 × 700 = 665700.\n</reasoning>\nFinal Answer: 665700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "35 is what percentage of 181?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/181) × 100 = 19.337%.\n</reasoning>\nFinal Answer: 19.337%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 42 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 42 × 15 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25510 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25510 × 3 × 5 / 100 = 3826.5.\n</reasoning>\nFinal Answer: 3826.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 63, 18, 76, 43, 56, 6, 90, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 63: 1, 18: 1, 76: 1, 43: 1, 56: 1, 6: 1, 90: 1, 33: 1}. Most frequent: [48, 63, 18, 76, 43, 56, 6, 90, 33].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -23 = 895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 27x = 918. Divide by 27: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 93 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(93,122) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -696 mod -375"
},
{
"role": "assistant",
"content": "<reasoning>\n-696 mod -375: -696 = -375 × 1 + -321, so remainder = -321.\n</reasoning>\nFinal Answer: -321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 2, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (48-1)×2 = 30 + 94 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "224 is what percentage of 739?"
},
{
"role": "assistant",
"content": "<reasoning>\n(224/739) × 100 = 30.3112%.\n</reasoning>\nFinal Answer: 30.3112%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 722 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 722 × (1 + 60/100) = 722 × 1.6 = 1155.2.\n</reasoning>\nFinal Answer: 1155.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -443 ÷ -620"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -443 by -620. -443 ÷ -620 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 90, 68, 76, 20, 23, 21, 64, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 471/9 = 52.3333.\n</reasoning>\nFinal Answer: 52.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 99 = 8910.\n</reasoning>\nFinal Answer: 8910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 32, 44, 56, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 12. Next term = 68 + 12 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×6)/2 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 9, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (33-1)×9 = 38 + 288 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 22, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 22 + 25 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 102."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,102) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹3986. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3986 × 18/100 = 717.48. Total = 3986 + 717.48 = 4703.48.\n</reasoning>\nFinal Answer: 4703.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 43 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+43) × 10 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 10, and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 10 + 13 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 14, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (25-1)×14 = 39 + 336 = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:35 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/35, so B = A × (35/48) = 82 × 35/48 = 59.7917.\n</reasoning>\nFinal Answer: 59.7917"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16625 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16625 × 18 × 9 / 100 = 26932.5.\n</reasoning>\nFinal Answer: 26932.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -671 + -84"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -671 and -84: -671 + -84 = -755.\n</reasoning>\nFinal Answer: -755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -156 ÷ -652"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -156 by -652. -156 ÷ -652 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 36 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 38+1296-39=1295.\n</reasoning>\nFinal Answer: 1295"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 34) * (48 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+34)=56, (48-27)=21, then 56×21=1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:31 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/31, so B = A × (31/31) = 100 × 31/31 = 100.0.\n</reasoning>\nFinal Answer: 100.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 30% of 129?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 129 = (30/100) × 129 = 38.7.\n</reasoning>\nFinal Answer: 38.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -426 × -561"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -426 by -561: -426 × -561 = 238986.\n</reasoning>\nFinal Answer: 238986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 4/2. LCD = 17. Result = -18/17.\n</reasoning>\nFinal Answer: -18/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 38, 90, 49, 31, 76, 12, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 31, 38, 49, 51, 71, 76, 90]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 75% of 498?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 498 = (75/100) × 498 = 373.5.\n</reasoning>\nFinal Answer: 373.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 17/19. Common denominator = 76. Result = 315/76.\n</reasoning>\nFinal Answer: 315/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 42 = 2079.0.\n</reasoning>\nFinal Answer: 2079.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 192 km/h. How far does it travel in 2 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 23/60 = 2.3833 hours. Distance = speed × time = 192 × 2.3833 = 457.6 km.\n</reasoning>\nFinal Answer: 457.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 714 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 714 × (1 + 5/100) = 714 × 1.05 = 749.7.\n</reasoning>\nFinal Answer: 749.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 952 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 952 × (1 + 25/100) = 952 × 1.25 = 1190.0.\n</reasoning>\nFinal Answer: 1190.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 779 × -687"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 779 by -687: 779 × -687 = -535173.\n</reasoning>\nFinal Answer: -535173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 197 + -895"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 197 and -895: 197 + -895 = -698.\n</reasoning>\nFinal Answer: -698"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:46 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/46, so B = A × (46/2) = 33 × 46/2 = 759.0.\n</reasoning>\nFinal Answer: 759.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 93 = 7254.\n</reasoning>\nFinal Answer: 7254"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 11 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 6/60 = 11.1000 hours. Distance = speed × time = 51 × 11.1000 = 566.1 km.\n</reasoning>\nFinal Answer: 566.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
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