messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×16)/2 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+67) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 31, 48, 65, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 17. Next term = 82 + 17 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -34 = 950"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 24x = 984. Divide by 24: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 917 - 834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 834 from 917: 917 - 834 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 84 = 7728.\n</reasoning>\nFinal Answer: 7728"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 931 + 3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 931 and 3: 931 + 3 = 934.\n</reasoning>\nFinal Answer: 934"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3891 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3891 × 9 × 2 / 100 = 700.38.\n</reasoning>\nFinal Answer: 700.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:29 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/29, so B = A × (29/35) = 60 × 29/35 = 49.7143.\n</reasoning>\nFinal Answer: 49.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 334 km apart. Their speeds are 111 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+68=179 km/h. Time = 334/179 = 1.8659 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 52 mod 944"
},
{
"role": "assistant",
"content": "<reasoning>\n52 mod 944: 52 = 944 × 0 + 52, so remainder = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 37 - 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 247 from 37: 37 - 247 = -210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 34, 93, 49, 30, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 30 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -594 + 56"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -594 and 56: -594 + 56 = -538.\n</reasoning>\nFinal Answer: -538"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7] and B = [2, 5, 9, 10, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 910 + 190"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 910 and 190: 910 + 190 = 1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 47) * (20 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+47)=53, (20-20)=0, then 53×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:43 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/43, so B = A × (43/50) = 88 × 43/50 = 75.68.\n</reasoning>\nFinal Answer: 75.68"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 32 = 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 27x = 216. Divide by 27: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -839 ÷ -64"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -839 by -64. -839 ÷ -64 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (12/8) = (120/120) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 11, 13, 16, 17, 18] and B = [1, 4, 5, 8, 10, 12, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 8, 11, 12, 13, 16, 17].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 + 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/19 + 9/11. Common denominator = 209. Result = 226/209.\n</reasoning>\nFinal Answer: 226/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1724. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1724 × 5/100 = 86.2. Total = 1724 + 86.2 = 1810.2.\n</reasoning>\nFinal Answer: 1810.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:2 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/2, so B = A × (2/8) = 82 × 2/8 = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 165 km/h. How far does it travel in 8 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 24/60 = 8.4000 hours. Distance = speed × time = 165 × 8.4000 = 1386.0 km.\n</reasoning>\nFinal Answer: 1386.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 35% of 915?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 915 = (35/100) × 915 = 320.25.\n</reasoning>\nFinal Answer: 320.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:38 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/38, so B = A × (38/33) = 41 × 38/33 = 47.2121.\n</reasoning>\nFinal Answer: 47.2121"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -87 ÷ 507"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -87 by 507. -87 ÷ 507 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 8, 10, 13, 19] and B = [3, 5, 10, 14, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 5, 10].\n</reasoning>\nFinal Answer: [3, 5, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 26) * (48 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+26)=50, (48-25)=23, then 50×23=1150.\n</reasoning>\nFinal Answer: 1150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 65% of 158?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 158 = (65/100) × 158 = 102.7.\n</reasoning>\nFinal Answer: 102.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 75, 4, 27, 92, 92, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 4 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:36 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/36, so B = A × (36/40) = 27 × 36/40 = 24.3.\n</reasoning>\nFinal Answer: 24.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:23 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/23, so B = A × (23/2) = 62 × 23/2 = 713.0.\n</reasoning>\nFinal Answer: 713.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 48 and 143."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(48,143) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:36 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/36, so B = A × (36/25) = 82 × 36/25 = 118.08.\n</reasoning>\nFinal Answer: 118.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×21)/1 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 * 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/8) × (15/14) = (150/112) = 75/56 after simplification.\n</reasoning>\nFinal Answer: 75/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 22, 39, 56, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 17. Next term = 73 + 17 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 82, 56, 63, 19, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 364/6 = 60.6667.\n</reasoning>\nFinal Answer: 60.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 816 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 816 × (1 + 45/100) = 816 × 1.45 = 1183.2.\n</reasoning>\nFinal Answer: 1183.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 64, 25, 88, 15, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 213/6 = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:32 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/32, so B = A × (32/41) = 69 × 32/41 = 53.8537.\n</reasoning>\nFinal Answer: 53.8537"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+74) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 12 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 20/60 = 12.3333 hours. Distance = speed × time = 69 × 12.3333 = 851.0 km.\n</reasoning>\nFinal Answer: 851.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 4 * 28 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×28=112, then 22+112-45=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 38 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 15+1444-11=1448.\n</reasoning>\nFinal Answer: 1448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -383 - 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 102 from -383: -383 - 102 = -485.\n</reasoning>\nFinal Answer: -485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 74 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(74,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:6 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/6, so B = A × (6/38) = 24 × 6/38 = 3.7895.\n</reasoning>\nFinal Answer: 3.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:27 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/27, so B = A × (27/43) = 13 × 27/43 = 8.1628.\n</reasoning>\nFinal Answer: 8.1628"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-6)x + (-140) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×2×-140 = 1156. √discriminant = 34. x = (-(-6) ± 34) / (2×2). Solutions: x = -7 or x = 10.\n</reasoning>\nFinal Answer: x = -7 or x = 1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 41 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+41) × 46 = 1725.0.\n</reasoning>\nFinal Answer: 1725.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 16, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (35-1)×16 = 27 + 544 = 571.\n</reasoning>\nFinal Answer: 571"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 745 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 745 × (1 + 25/100) = 745 × 1.25 = 931.25.\n</reasoning>\nFinal Answer: 931.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -33 = -771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 18x = -738. Divide by 18: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 / 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/20) ÷ (4/7) = (10/20) × (7/4) = 7/8.\n</reasoning>\nFinal Answer: 7/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 240 km apart. Their speeds are 84 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+96=180 km/h. Time = 240/180 = 1.3333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×15)/1 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹4777. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4777 × 18/100 = 859.86. Total = 4777 + 859.86 = 5636.86.\n</reasoning>\nFinal Answer: 5636.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 30 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 8x = 376. Divide by 8: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -33 = 197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 23x = 230. Divide by 23: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 126."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,126) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -576 mod -73"
},
{
"role": "assistant",
"content": "<reasoning>\n-576 mod -73: -576 = -73 × 7 + -65, so remainder = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -948 mod -181"
},
{
"role": "assistant",
"content": "<reasoning>\n-948 mod -181: -948 = -181 × 5 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 295 km apart. Their speeds are 89 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+61=150 km/h. Time = 295/150 = 1.9667 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 1 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+1) × 47 = 305.5.\n</reasoning>\nFinal Answer: 305.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:15 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/15, so B = A × (15/3) = 14 × 15/3 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:49 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/49, so B = A × (49/27) = 69 × 49/27 = 125.2222.\n</reasoning>\nFinal Answer: 125.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 57, 56, 91, 34, 86, 99, 81, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 57: 1, 56: 1, 91: 1, 34: 1, 86: 1, 99: 1, 81: 1, 66: 1}. Most frequent: [84, 57, 56, 91, 34, 86, 99, 81, 66].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 25 = 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 18, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (22-1)×18 = 22 + 378 = 400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 749 + -156"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 749 and -156: 749 + -156 = 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 8 = 608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 30x = 600. Divide by 30: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:2 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/2, so B = A × (2/11) = 17 × 2/11 = 3.0909.\n</reasoning>\nFinal Answer: 3.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 2, 75, 96, 61, 17, 18, 100, 61, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 2: 1, 75: 1, 96: 1, 61: 2, 17: 1, 18: 1, 100: 1, 7: 1}. Most frequent: 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 40 = 488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 28x = 448. Divide by 28: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 59 = 3894.\n</reasoning>\nFinal Answer: 3894"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 39, 90, 97, 27, 63, 95, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 39, 45, 49, 63, 90, 95, 97]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34656 at 9% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34656 × 9 × 5 / 100 = 15595.2.\n</reasoning>\nFinal Answer: 15595.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 + 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/4 + 1/16. Common denominator = 16. Result = 17/16.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32617 at 15% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32617 × 15 × 1 / 100 = 4892.55.\n</reasoning>\nFinal Answer: 4892.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (18/15) = (54/270) = 1/5 after simplification.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 35, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 35 + 35 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 88, 68, 39, 53, 68, 45, 29, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 4 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 29 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 7x = -329. Divide by 7: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 23 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 23 = 460 worker-days. New time = 460 / 15 = 30.6667 days.\n</reasoning>\nFinal Answer: 30.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -516 + -445"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -516 and -445: -516 + -445 = -961.\n</reasoning>\nFinal Answer: -961"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 12 = 103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 7x = 91. Divide by 7: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/6 - 15/18. LCD = 6. Result = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -43 = -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 27x = -297. Divide by 27: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 69, 7, 17, 94, 21, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 292/7 = 41.7143.\n</reasoning>\nFinal Answer: 41.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "896 is what percentage of 958?"
},
{
"role": "assistant",
"content": "<reasoning>\n(896/958) × 100 = 93.5282%.\n</reasoning>\nFinal Answer: 93.5282%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 31, 62, 51, 6, 37, 62, 81, 99, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 514/10 = 51.4.\n</reasoning>\nFinal Answer: 51.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 87 = 2349.\n</reasoning>\nFinal Answer: 2349"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 123 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 123 × (1 - 5/100) = 123 × 0.95 = 116.85.\n</reasoning>\nFinal Answer: 116.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 / 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/3) ÷ (18/1) = (13/3) × (1/18) = 13/54.\n</reasoning>\nFinal Answer: 13/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 14, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (49-1)×14 = 14 + 672 = 686.\n</reasoning>\nFinal Answer: 686"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 580 × 773"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 580 by 773: 580 × 773 = 448340.\n</reasoning>\nFinal Answer: 448340"
}
] | medium | [
"arithmetic",
"computation"
] |
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